Mary's number is 11 more than Jerry's number. The sum is 89. What are their numbers?
Answers
Mary and Jerry's number will be 39 and 50.The sum of their numbers is 89. Which shows that the obtained answer is correct.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
Let, Mary’s number be x
Mary’s number is eleven more than Jerry’sJerry's number is x + 11From the given condition sum of their numbers is 89.
\(\sf x+(x+11)=89\)
\(\sf 2x+11=89\)
\(\sf 2x=89-11\)
\(\sf 2x=78\)
\(\sf \dfrac{2x}{2} =\dfrac{78}{2}\)
\(\sf x=39\)
Jerry's number will be:
\(\sf x+11\)
\(\sf 39+11\)
\(\sf 50\)
Hence the Mary and Jerry's number will be 39 and 50.
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Related Questions
LT1 10th grade level. How tall I’d the building?
Answers
Answer: 99.2 m
Step-by-step explanation:
Given
The height of the flagpole is 35 m which is situated at 60 m
It is clear that the angle of elevation for the flagpole and building is the same, let say \(\theta\)
from the figure, we can write
\(\Rightarrow \tan \theta=\dfrac{35}{60}=\dfrac{h}{170}\\\\\Rightarrow h=170\times \dfrac{35}{60}\\\\\Rightarrow h=99.166\approx 99.2\ m\)
Thus, the height of building is 99.2 m
it’s due at 9am please help whoever helps first gets a brainliest and everyone gets a thank you
Answers
Answer:
Step-by-step explanation:
10) 4x+12
11) 7x+28
12)2x+16
13)9x+54
14)3x+33
15) 5x+35
16) 6x+24
17)8x+72
18) 4x+20
Solve the inequality. Graph the solution. |4x+6| ≤ 30
Answers
Answer:
− 9 ≤ x ≤ 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
PLEASE HELPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!! How many holes need to be drilled for 36 parts? Show your work.
Answers
Answer:
18c
= 18(36)
=648
Hope this helps you
Answer:
Part H
How many holes need to be drilled for 36 parts? Show your work.
Step-by-step explanation:
18c
= 18(36)
= 648
Find the equation of the tangent to y = x^4 – x^2 at the point where x=1.
Does the tangent intersect the curve again?
Answers
Answer:
\(y=2x-2\)
Step-by-step explanation:
The equation of the tangent line can be found by using the formula \(y-y_1=m(x-x_1)\) where \(m\) is the slope and \((x_1,y_1)\) are the coordinate points of the line.
Therefore, we'll need to find the slope of \(y=x^4-x^2\) at the point where \(x=1\) by taking its derivative and plugging \(x=1\) into the derivative:
\(f(x)=x^4-x^2\)
\(f'(x)=4x^3-2x\) (Remember to use the Power Rule here!)
\(f'(1)=4(1)^3-2(1)\)
\(f'(1)=4-2\)
\(f'(1)=2\) <-- Our slope here is 2
Now, evaluate \(f(1)\) to get \(y_1\):
\(f(1)=1^4-1^2\)
\(f(1)=0\)
Therefore, the equation of the tangent line is:
\(y-0=2(x-1)\)
\(y=2x-2\)
See attached graph for a visual reference
Find the coordinates of R if Q(-1, 3) is the midpoint ofhas coordinates of (5, 6)
Answers
The midpoint is given by the following expression:
\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)Where:
Therefore:
\((M_x,M_y)=(\frac{X_1+X_2}{2},\frac{y_1+y_2}{2})\)Replacing:
Mx= 5 and My=6
Qx= X1 =-1 and Qy= y1=3
Rx=X2 and Ry= Y2
\((5,6)=(\frac{-1+x_2}{2},\frac{3+y_2}{2})\)Equating the x component and solving for X2:
\(\begin{gathered} 5=\frac{-1+x_2}{2} \\ 5*2=-1+x_2 \\ 10+1=x_2 \\ x_2=11 \end{gathered}\)Doing the same with the y component:
\(\begin{gathered} 6=\frac{3+y_2}{2} \\ 6*2=3+y_2 \\ y_2=12-3=9 \\ y_2=9 \end{gathered}\)Answer: the coordinates of R are: (X2,Y2) = (11 , 9).
all probabilities can be expressed as decimal values ranging from 0.00 to 1.00.
Answers
The answer to the given question after considering the two options is true under the condition all probabilities can be expressed as decimal values ranging from 0.00 to 1.00.
Probability is also known as the estimation of possible changes of a particular event taking place. Furthermore, it is important while dealing with calculations in the branch of science and mathematics. It is useful in eliminating the total changes of systematic errors, which are hampering the research population.
Some examples of probability
The probability on the event of rolling a 4 with a die is 1/6.
The probability of getting a tails while tossing a coin is 1/2.
The probability of getting one joker from a deck of cards is 1/51.
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The complete question is
All probabilities can be expressed as decimal values ranging from 0.00 to 1.00. True or False
Yes, it is true that all probabilities can be expressed as decimal values ranging from 0.00 to 1.00.
This is because probabilities represent the likelihood of an event occurring, and the probability of an event can range from impossible (0.00) to certain (1.00). Therefore, probabilities are expressed as decimal values between these two extremes.
Hi! Yes, all probabilities can be expressed as decimal values ranging from 0.00 to 1.00. A probability of 0.00 represents an impossible event, while a probability of 1.00 represents a certain event. Values between these two extremes indicate varying levels of likelihood for the event to occur.
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I’m trying to get this math test done, can I please have some help?
Answers
Answer: B
Step-by-step explanation:
If you use slope-intercept form, you can see that B uses the equation y = 5x - 4, and you can also see that it is linear since it is proportional. The only coordinate plane that has a nonlinear line is D.
Find the product.
28.5 x 7
A. 198.5
B. 199
C. 199.5
D. 200
Answers
Answer:
199.5
Step-by-step explanation:
i know because I added it up
You enter a lottery where you select 5 numbers from 1 - 30 without duplicating numbers.
How many possible combinations of numbers are there?
Answers
Find the value of x. Then find the angle measures of the polygon.
x=_
Question 2
Answers
Answer:
x=145
Step-by-step explanation:
x+10+x=720-460
Answer:
125°
Step-by-step explanation:
Accumulate every detail given:
720 = 120+100+120+120+ (x+10) + x
720 = 120+100+120+120+2x+10
720=470+2x
Flip the equation to avoid negative equation
470+2x=720
2x=720
x=250/2
x=125
125 Is the final answer
The functions f(x) and g(x) are shown on the graph.
f(x) = Ixl
What is g(x)?
Answers
If f(x) = |x|, then g(x) is f(x) shifted to the right 3 units.
g(x) = |x - 3|
Hope this helps!
A monopolist faces the following demand curve, marginal revenue curve, total cost curve and marginal cost curve for its product: q = 200 - 2p mr = 100 - q tc = 5q mc = 5. what is the total profit earned?
Answers
The total profit that is earned is 4512.5
How to solve for the profit that is earned100 - q = 0
q = 100
Maximization is where q = 0
MR = mc
100 - q = 5
such that q = 95
Price would be 100 -0.5(95)
= 100 - 47.5
= 52.5
Profit earned would be
= 95*52.5 -5*95
= 4512.5
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the solution set of coordinates y 1/2x+5
Answers
Answer:
2.3inches
Step-by-step explanation:
which measure of variability is the most direct way to measure how dispersed a set of scores is?
Answers
The most direct way to measure how dispersed a set of scores is, is by using the range. The range is calculated by subtracting the lowest score from the highest score in the dataset, which gives a quick and easy measure of the spread of the scores.
However, the range can be influenced by extreme scores and may not provide a complete picture of the variability. Other measures of variability, such as the standard deviation and variance, take into account the variability of all scores in the dataset and provide a more robust measure of variability.
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Hi, can you help me to solve this exercise please!!
Answers
1) In this question, we can notice that theta is in Quadrant IV. In this quadrant, the cosine of theta yields a positive value.
2) So, let's make use of a Pythagorean Identity to find the value of the cosine of theta, given the sine of that same angle:
\(\begin{gathered} \sin ^2(\theta)+\cos ^2(\theta)=1 \\ (-\frac{3}{5})^2+\cos ^2(\theta)=1 \\ \frac{9}{25}+\cos ^2(\theta)=1 \\ \cos ^2(\theta)=1-\frac{9}{25} \\ \cos ^2(\theta)=\frac{25}{25}-\frac{9}{25} \\ \cos ^2(\theta)=\frac{16}{25} \\ \sqrt[]{\cos ^2(\theta)}=\sqrt[]{\frac{16}{25}} \\ \cos (\theta)=\frac{4}{5} \end{gathered}\)3) Thus the cosine of theta is 4/5 for in Quadrant IV cosine is positive.
Would you be able to help me on this question
Answers
a) From the exercise we can identify 3 unknowns from the 3 funds
• Large Growth = ,LG
,• Small Growth = ,SG
,• Large Value = ,LV
b)
\(\begin{gathered} LG+SG+LV=10,000\to(1) \\ LG=SG+2,000\to(2) \end{gathered}\)Given the function below find f(-2).
f(x)=x2−3x+5
Group of answer choices
10
15
20
25
Answers
See picture attached
What is the amplitude of y = 4 sin 3x ?
Answers
Answer:
4
Step-by-step explanation:
y = 4 sin (3x)
The amplitude is the coefficient in front of sin
4 is the amplitude
For questions 17-20, find the area of the given shape.
17. Triangle with base of 6 m and height
of 15 m
18. Right triangle with legs of 9 and 12
units
Can you please show work?
Answers
Answer: 17.=45 18.=54
Step-by-step explanation:
Area equation for triangles: A=bxh/2
17.: A=6x15/2
17.: A=90/2
17.A=45
18: A=9x12/2
18. A=108/2
18. A=54
B=Base
h=height
/=division
A=area
Deanna and lulu are playing games at the arcade. Deanna starts with $15, and the machine she is playing costs $0. 75 per game. Lulu starts with $13, and her machine costs $0. 50 per game. Choose the correct expressions to write an equation that could be used to find after how many games the two friends will have the same amount of money remaining. Let g represent the number of games.
Answers
After 8 number of games both has equal amount of money.
Deana starts with $15 and the machine she is playing costs $0.75 per game
lulu starts with $13 and the machine she is playing costs $0.50 per game
Let us after x number of games both has same money
Deana spends 0.75*x amount of money after playing x number of games.
Deana has remaining amount of money 15 - 0.75*x.
lulu spends 0.50*x amount of money after playing x number of games.
lulu has remaining amount of money 13 - 0.50*x.
We have assumes that after x number of games both has same amount of money.
\(15-0.75*x = 13 - 0.50*x\) --- this is the correct expression to write an equation that could be used to find after how many games the two friends will have the same amount of money.
15 - 13 = 0.75*x - 0.50*x
2 = 0.25*x
x = 2/0.25
x = 8.
So After 8 number of games both has equal amount of money.
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Sonya just turned 21 years old and will soon begin her junior year of college in
the fall. Money that she is saving for which of these purposes is not good to
put In a savings bond?
A)College tuition and for her future children
B)A down payment on a house in 10 years
C)This months electric bill
D)Her retirement
Answers
Answer:
c
Step-by-step explanation:
BRAINLIEST!! The product of two numbers is 144, but their sum is –24. What are these two numbers?
A. -22 and -2
B. -12 and -12
C. -20 and -4
D. -10 and -14
Answers
Answer:
B .-12 and -12
Step-by-step explanation:
it is because when we multiply two -digit the answer is in +
so like in the same -12 * -12=144
And when we add the digit we get -24
Hence, it is proved
Tyrone had some milk. He used 1 ⅙ cups of milk to make hot chocolate. Now, Tyrone has 3 ⅓ cup of milk. How much milk did Tyrone have to start?
Answers
Answer:
4 1/2 cups of milk
Step-by-step explanation:
To find the answer, we need to add what we used with what we have left over.
This equation would be:
1 1/6 + 3 1/3 = ?
to properly add 1/6 and 1/3, we change the 1/3 to 2/6:
1 1/6 + 3 2/6 = 4 3/6
Simplify:
4 1/2 cups of milk
There are 20%, percent more goblins than wizards in magic club. There are 120 goblins in magic club.
Answers
Answer:
100
Step-by-step explanation:
given sine of x equals negative 15 over 17 and cos x > 0, what is the exact solution of cos 2x? 161 over 289 225 over 289 negative 161 over 289 negative 225 over 169
Answers
The value of cos2x when sine of x equals negative 15 over 17 and cos x > 0 is -161/289.
What is cosine function?The ratio of the neighboring side's length to the longest side, or hypotenuse, in a right triangle is known as the cosine. Let's say that the hypotenuse of a triangle ABC is written as AB, and the angle between the hypotenuse and base is written as.
It's interesting to see that cos's value varies depending on the quadrant. As observed in the above table, cos 0°, 30°, etc. have positive values while cos 120°, 150°, and 180° have negative values. Cos will have a good value in the first and fourth quadrants.
Given that, sin x equals negative 15 over 17.
Using the Pythagoras theorem we have:
(17)² = (- 15)² + y²
y = 8
The value of cos x = 8/17
Then the value of cos2(x) is calculated using the formula:
cos2x = cos²x - sin²x
cos2x = (8/17)² - (15/17)²
cos2x = -161/289
Hence, the value of cos2x when sine of x equals negative 15 over 17 and cos x > 0 is -161/289.
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In circle SS, ST=5ST=5 and m\angle TSU=50^\circ∠TSU=50∘ Find the length of \overset{\LARGE\frown}{TU} TU⌢ . Express your answer as a fraction times \piπ.
Answers
The length of arc TU, as a fraction terms of π, is calculated as: 25/18 π units.
How to Find the Length of an Arc of a Circle?The length of an arc of a circle is the distance around the portion of the circumference of a circle that is marked by two points connected to the radius of the circle. Given r as the radius length and ∅ is the central angle measure, the length of the arc of the circle can be calculated as:
Arc length = ∅/360 × 2 × π × r.
Given the following:
Central angle (∅) = m∠TSU = 50°
Radius of the circle (r) = 5
Plug the values into ∅/360 × 2 × π × r:
Arc length = 50/360 × 2 × π × 5
Arc length = (50 × 2 × π × 5)/360
Arc length = 500/360 × π
Arc length = 50/36 × π
Arc length = 25/18 × π
Arc length of TU = 25/18 π units
Thus, the length of arc TU, as a fraction terms of π, is calculated as: 25/18 π units.
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Giselle spent $18.72 on supplies to make friendship bracelets. She plans to sell the bracelets, b, for $1 each. Write an algebraic expression to show Giselle's profit.
Answers
The algebraic formula to represent Giselle's profit is $b*1 - $18.72, or $b - $18.72, where $18.72 is spent on supplies.
what is expressions ?A statement that contains at least two numbers or variables, along with at least one mathematical operation, is referred to as a mathematical expression. Any one of the following mathematical operations could be used: addition, subtraction, multiplication, or division. The following are an expression's fundamental parts: : (Number/Variable, Math Operator, Number/Variable). A statement that includes at least two numbers or variables, at least one mathematical operation, and the word "expression" is referred to as a mathematical expression. Let's review expressive writing. The alternative number, which is known as x, is 6 more than half of the given number. This sentence is denoted by the phrase x/2 + 6 in mathematics.
given
number of bracelets = b
profit = $b*1 - $18.72
The algebraic formula to represent Giselle's profit is $b*1 - $18.72, or $b - $18.72, where $18.72 is spent on supplies.
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Melissa drove 715 miles in 11 hours.
At the same rate, how many miles would she drive in 7 hours?
Answers
Answer:
455 miles driven in 7hrs
Step-by-step explanation:
715miles divided by 11 hrs= 65 miles per hr
65 miles multiplied by 7 hrs= 455 miles driven in 7hrs
Can you help me on this question Plss??
Answers
is the answer