the sum of two numbers is 33. the sum of 3 times the larger and 4 times the smaller is 107
Answers
The value of the larger number and the smaller number are 25 and 8 respectively.
What is Simultaneous Equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y.
They are called simultaneous equations because the equations are solved at the same time.
If the bigger value is represented by x and the smaller value is represented by then
x+y= 33 equation 1
3x+ 4y= 107 equation 2
using Elimination method,
we multiply the coefficients of x by opposite equation
3x+3y=99 equation 3
3x+4y= 107 equation4
subtracting equation 3 from 4
y=107- 99
y= 8
substituting 8 for y in equation 1
x+8= 33
x= 33-8=25
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Related Questions
3.4( x + 7) - 2.1 = 35.5
Answers
Step-by-step explanation:
This is an equation, where we need to find the value of x.
To solve this equation, we can first use the distributive property to expand 3.4(x + 7) which gives 3.4x + 3.4 * 7 = 3.4x + 23.8
Now we have the equation:
3.4x + 23.8 - 2.1 = 35.5
Next, we can add 2.1 to both sides of the equation:
3.4x + 23.8 = 37.6
Then, we can subtract 23.8 from both sides of the equation:
3.4x = 13.8
Finally, we can divide both sides of the equation by 3.4 to find the value of x:
x = 4
Therefore, the value of x that solves the equation is 4.
Find the measure of the indicated angle.
Answers
Answer:
I believe it could be 25
Step-by-step explanation:
Eight angle = 90
1. 38 + 27 = 65
2. 90 - 65 = 25
I haven't done angles for a long time, but I hope my memories serves well. Sorry if it may be wrong, but this is what I remember from doing angles in Year 7
Which expression is equivalent to (x y) z?
(x + y) + z
2 z (x y)
x (y z)
x (y + z)Which expression is equivalent to (x y) z?
(x + y) + z
2 z (x y)
x (y z)
x (y + z)
Answers
Answer:
x(yz)
Step-by-step explanation:
(xy)z = x(yz) by the associative property of multiplication.
Answer: x(yz)
The equivalent expression of (xy)z is x(yz).
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The expressions:
- (x y) z
This can be written as,
= x (y z)
This is due to the associative property of multiplication.
The associative property of multiplication states that,
(a b) c = a (b c)
Thus,
(x y) z is equivalent to x (y z)
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IN CASE YOU ARE LOOKING FOR THE ANSWER
A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. Earth has a radius of 3959 mi.
What is the climber's distance to the horizon?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answers
Answer: The answer is 171.2 Miles
Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.
Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.
From the top of the 140-foot high tower, an air traffic controller observes an airplane on the runway at an angle of depression of 18°.
18°
140 ft
How far is it from the base of the tower to the airplane? Round your answer to the nearest tenth of a foot.
Answers
Answer:
Step-by-step explanation:
The angle of depression is the downward angle the air traffic controller
looks down from in the tower. It also equals the angle of elevation which is the angle formed by the runway and the line of sight.
With this information you can find the remaining angle:
180 - (90 + 18)
180 - 108 = 72
Let Angle B = 72°
Angle A = 18°
Angle C =90°
We have one side - 140 feet - this is side a - it is across from angle A.
There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)
Using the law of sines:
sin A/a = sinB/b
sin 18°/a = sin72°/b
.3090/140 = .9510/x
cross multiply and then divide
140 × .9510/.3090
133.14/.3090
430.873 ft
round to a tenth = 430.9 ft
2/5 14.1/9 25/5 what is the improper fraction mixed number and common fraction
Answers
Answer:
A mixed number is a whole number plus a fractional part. An improper fraction is a fraction where the numerator (top number) is larger than the denominator (bottom number). You can convert between mixed numbers and improper fractions without changing the value of the figure.
Step-by-step explanation:
i did it before
Which of the following coordinate points have an x-value of 2? Select all that apply.
A) (2, 3)
B) (5, 2)
C) (2, 9)
D) (2, 0)
Answers
Answer:
The order of coordinates is always (x, y)
Step-by-step explanation:
So A and B have x-value coordinates
Step-by-step explanation:
how to find gcf's of numbers?
Answers
Answer: first list the prime factors of each number
Step-by-step explanation:
The area of the circular base of a cone is 16π cm², and the slant height of the cone is 4 times the radius of the cone.
What is the approximate lateral area of the cone?
Answers
The approximate lateral area of the cone is equal to 200.96 cm².
How to calculate the lateral area of the cone?Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:
Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)
Where
l represents the slant height of the cone.r represents the radius of the cone.h represents the height of the cone.How to calculate the area of a circle?Mathematically, the area of a circle can be calculated by using this formula:
Area of a circular base = πr²
16π = πr²
Radius, r = √16
Radius, r = 4 cm.
Substituting the given parameters into the lateral area of a cone formula, we have the following;
Lateral surface area of a cone, LSA = πrl = πr4(r)
Lateral surface area of a cone, LSA = 3.14 × 4 × 16
Lateral surface area of a cone, LSA = 200.96 cm².
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Answer:
201 beause you are rounding to the nearest whole number
Step-by-step explanation:
Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage
Answers
The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.
Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.
Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.
Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.
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Please help and fast for brainliest
The graph shows the number of gallons of white paint that were mixed with gallons of green paint in various different ratios:
Draw the graph on a grid. The title is Mixing Paint. The horizontal axis label is Green Paint in gallons. The scale is 0 to 24 in increments of 3. The vertical axis label is White Paint in gallons. The scale is 0 to 72 in increments of 9. Plot points at the ordered pairs 3,9 and 6,18 and 9,27.
The number of gallons of white paint mixed with 1 gallon of green paint is ______.
Answers
Answer:
3 gallons
Step-by-step explanation:
For every value of green ( 'x') ....white is 3 times as much
for 1 gallon green ====> 3 gallons white
Suppose a sample of 383 Americans over 21 is drawn. Of these people, 280 don't smoke. Using the data, construct the 80% confidence interval for the population proportion of Americans over 21 who smoke. Round your answers to three decimal places.
Answers
The 80% confidence interval for the population proportion of Americans over 21 who smoke is: 0.240; 0.298.
How to find the confidence interval?First step is to find the population proportion p
Sample size = n = 383
Using this formula to find the population proportion (p)
p = x /n
Let plug in the formula
p = (383 - 280) / 383
p = 103/383
p = 0.2689
Second step is to find the Margin of error (MOE)
Value of z-score for a confidence level of 80%= 1.282
Using this formula to margin of error
MOE =( z alpha x √(p) (1-p) / n )
Let plug in the formula
MOE =( 1.282x √(0.2689)(1-.0.2689) / 383)
MOE =( 1.282 x √(0.2689)(0.7311) / 383)
MOE =( 1.282 x √0.000513297
MOE =( 1.282 x 0.0226561)
MOE = 0.02905
Third step is to find the confidence interval (CI)
Confidence interval = p ± MOE
Confidence interval = 0.2689 ± 0.02905
Confidence interval = ( 0.2689 - 0.02905) , (0.57 + 0.02905)
Confidence interval = 0.23985; 0.29795
Confidence interval = 0.240; 0.298 ( Three decimal places)
Therefore the CI is 0.240; 0.298.
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Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.
Answers
The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.
In the response, the following elements were included:
1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.
2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.
3 Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.
4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.
Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.
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there are 19 pieces of candy in the candy jar Mrs Breen lost her mind and started eating all these mindlessly she realize she had consumed eight pieces of candy approximately.what percent of candy does she eat??
Answers
Help help , Please help! Brainliest if correct! What are the end behaviors of f(x)=-2(x-17)^4
Answers
Answer:
D
Step-by-step explanation:
When this function is graphed, both ends go down forever
question #1. factor completely p^4-13p^2+40
question #2. factor the trinomial completely.4p^2-9p+2
Answers
Answer:
Step-by-step explanation:
#1
(p^2-8) (p^2-5)
#2
(p-2) (4p-1)
Anita opened a savings account and deposited $600.00 as principal. The account earns 6% interest, compounded continuously. What is the balance after 1 year?
Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent. ( help please)
Answers
Answer:
$637.10
Step-by-step explanation:
Given:
P = 600
r = 6% or 0.06
t = 1
Work:
\(A=Pe^{rt}\\\\A=600e^{0.06*1}\\\\A=600e^{0.06}\\\\A=637.10\)
x-int:
Y-int
Domain
Range
Absolute max
Relative max
Absolute min
Relative min
Int inc
Int Dec
Positive interval
Negative interval
Symmetry odd,even,neither
Left end behavior
Right end behavior
PLSSS HELPP
Answers
These terms are related to the properties and characteristics of a function, which is a mathematical rule that relates each input value to a unique output value.
What are the properties of function?
Here is a brief explanation of each term:
X-intercept: The x-intercept of a function is the point where the graph of the function crosses the x-axis. It is the value of x for which the value of y is zero.Y-intercept: The y-intercept of a function is the point where the graph of the function crosses the y-axis. It is the value of y for which the value of x is zero.Domain: The domain of a function is the set of all possible input values (x-values) for which the function is defined. It is the set of all values of x that make the function meaningful.Range: The range of a function is the set of all possible output values (y-values) that the function can produce. It is the set of all values of y that can be obtained by applying the function to its domain.Absolute maximum: The absolute maximum of a function is the highest point on the graph of the function, regardless of whether it is a local or global maximum.Relative maximum: The relative maximum of a function is the highest point on the graph of the function in a given interval or neighborhood.Absolute minimum: The absolute minimum of a function is the lowest point on the graph of the function, regardless of whether it is a local or global minimum.Relative minimum: The relative minimum of a function is the lowest point on the graph of the function in a given interval or neighborhood.Increasing interval: An increasing interval of a function is an interval where the function is increasing, i.e., the y-values are getting larger as the x-values increase.Decreasing interval: A decreasing interval of a function is an interval where the function is decreasing, i.e., the y-values are getting smaller as the x-values increase.Positive interval: A positive interval of a function is an interval where the y-values are positive.Negative interval: A negative interval of a function is an interval where the y-values are negative.Symmetry (odd, even, neither): A function is said to be odd if it satisfies the condition f(-x) = -f(x) for all x in the domain. A function is said to be even if it satisfies the condition f(-x) = f(x) for all x in the domain. A function is said to be neither odd nor even if it does not satisfy either of these conditions.Left-end behavior: The left-end behavior of a function is the behavior of the function as x approaches negative infinity.Right-end behavior: The right-end behavior of a function is the behavior of the function as x approaches positive infinity.To know more about function, visit:
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PLEASE ANSWER ASAP!!!!!!!!!!!
Is 2(6 - 3x) + x equivalent to 2(3x) + x? EXPLAIN and show your work.
Answers
Answer:
NO.
Step-by-step explanation:
NO. You cannot subtract 3x from 6, since they are NOT like terms.
Answer:
2(6-3x)+2(3x)+x
step by step
2x6=12 2x3X=6x + 2x3X=6x +2x
12+6x+6x+2x
=12+12x+2x
add the 12x + 2x =14x
the answer is 12+14x
This question is designed to be answered without a calculator.
If f(x) = 5(x2 – 1), thenLimit of StartFraction f (x) minus f (2) Over x minus 2 EndFraction as x approaches 2 =
0.
5.
10.
20.
Answers
The limit of [f(x) - f(2)]/[x - 2] as x approaches 2 is 20
How to evaluate the limit as it approaches 0From the question, we have the following function that can be used in our computation:
f(x) = 5(x2 – 1)
Rewrite as
f(x) = 5(x² – 1)
The limit is given as
[f(x) - f(2)]/[x - 2]
Calculate f(2)
So, we have
f(2) = 5(2² – 1)
Evaluate
f(2) = 15
Substitute f(2) = 15 in [f(x) - f(2)]/[x - 2]
So, we have
[f(x) - f(2)]/[x - 2] = [5(x² – 1) - 15]/[x - 2]
Open the brackets
[f(x) - f(2)]/[x - 2] = [5x² – 5 - 15]/[x - 2]
Evaluate the like terms
[f(x) - f(2)]/[x - 2] = [5x² – 20]/[x - 2]
Factorize
[f(x) - f(2)]/[x - 2] = [5(x² – 4)]/[x - 2]
Express as difference of two squares
[f(x) - f(2)]/[x - 2] = [5(x – 2)(x + 2)]/[x - 2]
Divide
[f(x) - f(2)]/[x - 2] = 5(x + 2)
Limit x to 2
[f(x) - f(2)]/[x - 2] = 5(2 + 2)
Evaluate
[f(x) - f(2)]/[x - 2] = 20
Hence, the limit is 20
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Please help it’s urgent
Answers
Answer:
1750 sq m
Step-by-step explanation:
100 x 85 = 8500 and 90 x 75 = 6750, so take away 6750 from 8500, 8500 - 6750 = 1750 sq m
Select the true statement.
Answers
1 1/2 yards = 54 inches.
Answer: D) 54 inches = 1 1/2 yards
explanation: 1 1/2 yards = 54 inches.
Let S be the set of all triangles that can be formed from three distinct vertices of a regular decagon. How many of those triangle are scalene?
Answers
The vertices of a regular decagon can only ever give rise to a maximum of zero scalene triangles at any one time.
What are triangles?Generally, An isosceles triangle has two sides with the same length. There are 10 ways to choose the vertex that is common to the two equal sides, and for each of these choices, there are 5 ways to choose the other two vertices (since they must be distinct from the first). Therefore, there are a total of
10* 5*5=250 isosceles triangles.
To get the final count of scalene triangles, we use the principle of inclusion-exclusion by subtracting the number of isosceles triangles from the total number of triangles.
This gives us a final count of 120-250=-130.
However, since we cannot have a negative number of triangles, the final answer is 0.
Therefore, there are 0 scalene triangles that can be formed from the vertices of a regular decagon.
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The complete Question was not found
Easy math help picture below problem 4
Answers
Answer: is 126 degrees
Step-by-step explanation:
b) Work out the size of angle x. Give your
answer in degrees (º).
56°
X
59°
77°
Answers
Answer:
Step-by-step explanation how do I use this appp :
the peak shopping time at a pet store is between 8-11:00 am on saturday mornings. management at the pet store randomly selected 95 customers last saturday morning and decided to observe their shopping habits. they recorded the number of items that a sample of the customers purchased as well as the total time the customers spent in the store. identify the types of variables recorded by the pet store.
Answers
The number of items is discrete and the total time is a continuous variable recorded by the pet store.
The two things recorded by the pet store;
first is the number of items purchased and another is the time between the given interval of 8 am to 11 am.
we know that
the number of items was counted so it will be discrete and the total time was measured so it will be a continuous variable.
Therefore, the types of variables recorded by the pet store are the number of items as a discrete variable and the total time as a continuous variable.
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A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y , to the number of cups of flour used, x ?
Answers
Answer: 3cups
Step-by-step explanation:
List all of the solutions.
3cups = 48 = y = cups = x =
Answer:
3cups
Step-by-step explanation:
V7xV2
Realiza la siguiente multiplicación de raíces cuadradas
Answers
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.
V7 * V2 = V(7 * 2) = V14
Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.
This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.
In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
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which of the following is the factored from of the expression 18 + 12?
Answers
Answer:
3(6+4)
Step-by-step explanation:
A line with a slope of 5 passes through the point (6, 12). Write the equation for this line.
Answers
Step-by-step explanation:
Given
\(slope(m) = 5\)
y-intercept (c) = 12
Now the equation of the line is
y = mx + c
y = 5x + 12
Hope it will help :)❤