which equation is true when X = - 15A, 3x-11=-34B, (x/3) + 17 = 12C, (x/5) +2.5 = 0.5D, -53 + 4x = 7
Answers
We have to replace x with the value -15 and see if the equality stands or not.
A. FALSE
\(\begin{gathered} 3x-11=-34 \\ 3\cdot(-15)-11=-34 \\ -45-11=-34 \\ -56\ne-34 \end{gathered}\)B. TRUE
\(\begin{gathered} (\frac{x}{3})+17=12 \\ -\frac{15}{3}+17=12 \\ -5+17=12 \\ 12=12 \end{gathered}\)C. FALSE
\(\begin{gathered} \mleft(x/5\mright)+2.5=0.5 \\ \mleft(-15/5\mright)+2.5=0.5 \\ -3+2.5=0.5 \\ -0.5\ne0.5 \end{gathered}\)D. FALSE
\(\begin{gathered} -53+4x=7 \\ -53+4(-15)=7 \\ -53-60=7 \\ -113\ne7 \end{gathered}\)The answer is Option B.
Related Questions
Find the slope of the altitude on each side of triangle ABC (a) A(1,0), B(-3, 4),C(-1,-3)
Answers
A middle school collected 4.5 tons of old newspapers and sold them to a recycling center for $225. At this rate, how much will the recycling center pay for 7.5 tons of old newspaper?
Answers
Answer:
$375
Step-by-step explanation:
Divide $225 by 4.5
The answer is 50.
So the recycling center pays $50 for 1 ton of newspapers.
Multiply $50 by 7.5
$375
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Two stores have a laptop computer for sale.
Part A: Store A is selling the laptop for
and has a discount coupon for
off. Calculate the amount of the discount at Store A.
Part B: Store B is selling the laptop for
and has a discount coupon for
off. Calculate the amount of the discount at Store B.
Part C: Which store should you purchase the laptop from? Use details to support your answer.
Answers
Store A would be the better choice as the final price is lower than Store B even though the original price was also lower at Store B.
What is discount?
Discount means the amount which is deducted by sellers from the amount to be payable by buyers.
Part A:
Store A is selling the laptop for $900 and has a discount coupon for 15% off. To calculate the amount of the discount, we can multiply the original price by the discount percentage:
Discount amount = $900 x 15% = $135
Therefore, the amount of the discount at Store A is $135.
Part B:
Store B is selling the laptop for $950 and has a discount coupon for 10% off. To calculate the amount of the discount, we can multiply the original price by the discount percentage:
Discount amount = $950 x 10% = $95
Therefore, the amount of the discount at Store B is $95.
Part C:
At Store A, the final price would be:
Final price at Store A = $900 - $135 = $765
At Store B, the final price would be:
Final price at Store B = $950 - $95 = $855
Therefore, Store A would be the better choice as the final price is lower than Store B even though the original price was also lower at Store B.
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use the following equation to determine the ratio of the displacement thickness to the boundary layer thickness.
Answers
The formula the ratio of the displacement thickness to the boundary layer thickness is u = δ / 2
The term displacement thickness is defined as the distance by which the body surface should be shifted in order to compensate for the reduction in mass flow rate on account of boundary layer formation.
Here we need to find the way to determine the ratio of the displacement thickness to the boundary layer thickness.
As we all know that the boundary layer thickness. ideal fluid viscous force is neglected but in actual viscous stresses are prominent within the boundary layer.
AS we all also know that when fluid flows past a solid body the fluid particles adhere to the boundary and the condition of no-slip occurs.
Here the term non-slip conditions means the velocity of the fluid at body surface will be same as the velocity of body.
Then it can be calculated by using the following formula,
=> u = δ / 2
Complete Question:
Here by using the equation u/U = y/δ and to determine the ratio of the displacement thickness to the boundary layer thickness.
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A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
Answers
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
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635% at a mixed number
Answers
Answer:
6 35/100 or six and 35 of 100
Step-by-step explanation:
Answer:
6 And 7/20
Next time use a calculator this is a pretty easy question its just simple division
1) -13(-6x- 14) = -910 solve
Answers
Answer:
x=2
Step-by-step explanation:
Solve the inequality. Then, graph the solution on the number line. (Show all your work) z+6>3 2z < -12
Answers
Answer:
\( - 3 < z < 6\)
Step-by-step explanation:
\(z + 6 > 3 \\ 2z < 12\)
1.
\(z + 6 > 3 \\ z + 6 - 6 > 3 - 6 \\ z > - 3\)
2.
\(2z < 12 \\ \frac{2z}{2} < \frac{12}{2} \\ z < 6\)
answer
\( - 3 < z < 6\)
An aquarium tank can hold 6300 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 84 minutes. The second pipe can fill the tank in 42 minutes by itself. When both pipes are working together, how long does it take them to fill the tank?
Answers
It will take them 28 minutes to fill the tank.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
The first pipe alone can fill the tank in 84 minutes.
So, the rate at which the first pipe fills the tank = 1/84
and, The second pipe can fill the tank in 42 minutes by itself.
So, the rate at which the second pipe fills the tank =1/42
If they work together, they would work simultaneously and their individual rates are additive.
= 1/84 + 1/42
let it takes t hours for both pipes to fill the tank working together, the working rate per minute would be 1/t. Therefore,
1/84 + 1/42 = 1/t
3/84 = 1/t
t = 84/3
t = 28 minutes
Hence, 28 minutes will take to fill.
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How can I figure out what set is a function? I did not understand this in class today.
Answers
Functions
A function is a relation in which each input has only one output.
If we are given a set of ordered pairs (x,y) and find that for a specific value of x there is more than one value of y, then it's NOT a function.
Let's analyze each option.
The first set contains two ordered pairs (7,-3) and (7,9) that give for x=7 two different values of y, so this is not a function.
The third set contains the ordered pairs (6,6) and (6,-7). The input value 6 has two different output values. This is not a function either.
The fourth set also fails to be a function because (0,-5) and (0,-2) give to x=0 two different outputs for y.
The second option is a function because every value of the input set has only one value in the output set.
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answers
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
I really need help pls
Answers
Answer && Step-by-step explanation:
Use what we know are given variables (answer choices)
we know middle is 15, 4x+7 must be > 15 plug in variables
7.5 makes it 35 but that is too big
4 is also > but it makes it slightly too big at 23 but when i divide by 3 i get 7.6, which mult 2 ~= 15
never the less, lets try it at top
4+3=7
make a triangle above 15, this will == half of 15 which is 7.5
7 is closest, I would guess 4 based on this alone.
Draw and set up the integrals for the area enclosed by the y–axis, the curve y = (x + 1)1/2 and y = 2. Compute one of them.
Region II only please
Answers
If the definitions of type I and type II regions is the same as in the link provided, then as a type I region the integration domain is the set
\(R_{\rm I} = \left\{(x,y) \mid 0 \le x \le 3 \text{ and } \sqrt{x+1} \le y \le 2\right\}\)
and as a type II region,
\(R_{\rm II} = \left\{(x,y) \mid 0 \le x \le y^2-1 \text{ and } 1 \le y \le 2\right\}\)
where we solve y = √(x + 1) for x to get x as a function of y.
A. The area of the type I region is
\(\displaystyle \iint_{R_{\rm I}} dA = \int_0^3 \int_{\sqrt{x+1}}^2 dy \, dx = \int_0^3 (2 - \sqrt{x+1}) \, dx = \boxed{\frac43}\)
B. The area of the type II region is of course also
\(\displaystyle \iint_{R_{\rm II}} dA = \int_1^2 \int_0^{y^2-1} dx \, dy = \int_1^2 (y^2-1) \, dy = \boxed{\frac43}\)
I've attached a plot of the type II region to give an idea of how it was determined. The black arrows indicate the domain of x as it varies from the line x = 0 (y-axis) to the curve y = √(x + 1).
x 5. Solve.
A bag contains 2 red, 4 blue, and 4 yellow marbles. What is the probability of pulling a red marble, then a blue marble from the bag? (to the nearest tenth)
Answers
Answer:
2/10*4/10=2/25 aka 0.08 aka rounded is 0.1
Step-by-step explanation:
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The factored form of 5 x squared minus 18 x minus 8 is __________
Answers
The factored form is (5x+2)(x-4).
What is factorization?
A number, matrix, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number, matrix, etc. This process is known as factorization or factoring.
Here, we have
Given: 5 x squared minus 18 x minus 8
we have to find the factored form.
= 5x² - 18x - 8
= 5x² - 20x + 2x - 8
= 5x(x-4) + 2(x-4)
= (5x+2)(x-4)
Hence, the factored form is (5x+2)(x-4).
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Valentina and her friends have collected 1,596 winter hats to donate to 4 local shelters. Part A Which is the best equation to use to estimate the number of hats, h, each shelter will receive? A. 1,500 ÷ 3 = h 1,500 ÷ 3 = h B. 1,500 ÷ 4 = h 1,500 ÷ 4 = h C. 1,600 ÷ 4 = h 1,600 ÷ 4 = h D. 2,000 ÷ 5 = h 2,000 ÷ 5 = h Part B Choose the number to complete the sentence. Each shelter will receive about hats.
Answers
The expression or equation to represent the number of hat each shelter will receive is h = 1600 / 4
Algebraic ExpressionAlgebraic expressions are the mathematical statement that we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.
To represent the amount each local shelter will receive, we can write an expression for that while the variable is present
h = variableThe number of hats can be found by dividing the total number of hats collected by the number of local shelters.
Estimating the number of hats
1596 ≅ 1600
Number of hats (h) = 1600 / 4
h = 400
Each local shelter will receive 400 hats
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Check out this app! It's millions of students helping each other get through their schoolwork. https://brainly.app.link/qpzV02MawO
Answers
Answer:
whow this is so great app i love it
A local meteorologist announces to the town that there is a 68% chance there will be a blizzard tonight. What are the odds there will not be a blizzard tonight? Write your answer as 1:2 which is reduced as much as possible.
Answers
Answer:
Step-by-step explanation:
If there is a 68% chance of a blizzard tonight, then the probability of a blizzard is 0.68.
The odds in favor of an event happening are defined as the ratio of the probability of the event happening to the probability of the event not happening. In this case, the odds in favor of a blizzard are:
odds in favor of blizzard = P(blizzard) / P(no blizzard)
We can use the fact that the probabilities of all possible outcomes must add up to 1 to find the probability of no blizzard:
P(no blizzard) = 1 - P(blizzard) = 1 - 0.68 = 0.32
Therefore, the odds in favor of no blizzard are:
odds in favor of no blizzard = P(no blizzard) / P(blizzard) = 0.32 / 0.68
Simplifying the fraction by dividing both numerator and denominator by 0.32, we get:
odds in favor of no blizzard = 0.32 / 0.68 = 8/17
The odds in favor of no blizzard are 8:17, which is reduced as much as possible.
What is the next value?
2 3 E 4 5 I 6 8
options: O 8 M N
Answers
Answer:
The correct answer is a.
Step-by-step explanation:
The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.
What shape best describes the cross-section cut perpendicular to the base of a right rectangular prism? O Parallelogram Trapezoid O Rectangle O Rhombus
Answers
The cross-section perpendicular to the base of a right rectangular prism is a rectangle.
What is a three dimensional shape?A shape or a solid that has three dimensions that is length, width and height is called a 3D shape. 3D shapes have faces, edges, and vertices. Examples are cylinder, cone, prism, pyramid.
A shape that has two dimensions is called a 2D shape. 2D shapes have breadth and length.
The cross-section perpendicular to the base of a right rectangular prism is a rectangle.
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How many coupons can be generated
Answers
The number of coupon codes that can be generated is given as follows:
247,808 coupon codes.
What is the Fundamental Counting Theorem?The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.
This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
The codes are composed as follows:
Two letters -> each with 22 options, as letters can be repeated.Three digits -> each with 8 options, as digits can also be repeated.Thus the total number of codes is obtained as follows:
N = 22² x 8³
N = 247,808 coupon codes.
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(50 POINTS!) a. How far is the spot on the beach from the parking lot?
b. How far will he have to walk from the parking lot to get to the refreshment stand?
Answers
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
\(\cfrac{a}{18}=\cfrac{32}{a}\implies a^2=(32)(18)\implies a=\sqrt{(32)(18)}\implies a=24 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{b}{50}=\cfrac{32}{b}\implies b^2=(32)(50)\implies b=\sqrt{(32)(50)}\implies b=40\)
I will GIVE CROWN FOR THE RIGHT ANSWER
Item 1
What is the product in simplest form?
−6/11⋅3/4
−9/22
−6/13
9/22
6/13
Answers
Answer:
-9/22
Step-by-step explanation:
−6/11 x 3/4 = -18/44 = -9/22
what is 3/4 of a full rotation ?????????????????????????????????????????????????????????
Answers
Answer:
270 degrees.
Step-by-step explanation:
A full rotation is equal to 360 degrees. 3/4 * 360 = 270.
Which statement about y=x^2-12x+35 is true?
A. The zeros are 7 and 5, because y=(x-7)(x-5)
B. The zeros are 7 and -5, because y=(x+7)(x-5)
c. The zeros are -7 and -5, because y=(x+7)(x+5)
D. The zeros are -7 and -5, because y=(x-7)(x-5)
Answers
Answer:The zeros are 7 and 5, because y=(x-7)(x-5)
Step-by-step explanation:
What is the slope of y = -x + 7?
Answers
Answer:
-1
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = -x + 7
m = -1
How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
Answers
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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Write y=2/3x+7 in standard form using intergers
Answers
Answer:
a.
Step-by-step explanation:
y = 2/3 x + 7
3 * y = 3 * (2/3 x + 7)
3y = 2x + 21
2x - 3y = -21
-2x + 3y = 21
Answer: a.
Solve the following problems using the Polygon Interior Angle Sum Theorem and Polygon Exterior Angle Sum Theorem.
Sum of the measures of the interior angles of the regular nonagon
Measure of each interior angle of the regular nonagon
Measure of each exterior angle of the regular nonagon
Answers
a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°
b) The measure of each interior angle of the regular nonagon is a = 140°
c) The measure of each exterior angle of the regular nonagon is b = 40°
Given data ,
Sum of the measures of the interior angles of a regular nonagon:
The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:
Sum of interior angles = (n - 2) * 180°
For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:
Sum of interior angles = (9 - 2) * 180
Sum of interior angles = 7 * 180
Sum of interior angles = 1260°
So, the sum of the measures of the interior angles of a regular nonagon is 1260°
Measure of each interior angle of a regular nonagon:
Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:
Measure of each interior angle = Sum of interior angles / Number of sides
Measure of each interior angle = 1260 / 9
Measure of each interior angle = 140°
So, the measure of each interior angle of a regular nonagon is 140°
Measure of each exterior angle of a regular nonagon:
The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°
Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:
Measure of each exterior angle = 360 / Number of sides
Measure of each exterior angle = 360 / 9
Measure of each exterior angle = 40°
Hence , the measure of each exterior angle of a regular nonagon is 40°
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