Type the correct answer in each box.
Jenny’s mother is 5 years older than twice Jenny's age. The sum of their ages is 62 years. This is represented by the equation x + 2x + 5 = 62, where x is Jenny’s age.
Plug in the values from the set {12, 15, 18, 19} to find the value of x. The value that holds true for the equation is _____ . So, Jenny is _____ years old and her mother is ____ years old.

Answers

Answer 1

Hello !

12 :

[tex]12 + 2 \times 12 + 5 = 41 \ne62[/tex]

15 :

[tex]15 + 2 \times 15 + 5 = 50 \ne62[/tex]

18 :

[tex]18 + 2 \times 18 \ + 5 = 59 \ne62[/tex]

19 :

[tex]19 + 2 \times19 + 5 = 62[/tex]

The value that holds true for the equation is 19. So, Jenny is 19 years old and her mother is 43 years old.

Have a nice day ;)

Answer 2
19 is the correct answer

Related Questions

Calculate the area and perimeter of the circle.

Answers

Answer: See below

Radius appears to be 3 in the picture so....
Formula : Area of a circle: A =pi * r^2
A = 3.14*(3)^2 = 28.26

Perimeter of a circle is known as circumference

Formula: Circumference of a circle: C = 2* pi * r
C= 2 *(3.14)*3 = 18.84

Answer:

Step-by-step explanation:

The area of a circle of radius r is A = (pi)r^2.  In this case, r = 2 units, so the area is A = (22/7)(2 units)^2 = 88/7 units^2

The perimeter of a circle of radius r is P = C = circumference = 2(pi)r.  In this case, r = 2 units, so the circumference/perimeter is

C = 2(3.14)(2 units) = 2(22/7)(2 units) = (22/7) units

1. List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
7 ¾ inches by 12 ¼ inches by 3 ¼ inches
2. Describe the shape of the cross-section when the box is cut parallel to the base.

Answers

The shape of the cross-section parallel to the base of the box is rectangle

How to determine the shape?

The dimensions of the box is given as:

7 ¾ inches by 12 ¼ inches by 3 ¼ inches

The dimensions are not equal.

This means that the box is a rectangular prism

The cross-section of a rectangular prism is a rectangle

Hence, the shape of the cross-section parallel to the base of the box is rectangle

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7 3/4 =31/4
31/4 x 49/4 x 13/4
2. 3x4=12x4=48

Order the steps to solve -3x + 2.4 = 19.2

- Simplify to x = -5.6
- Subtract 2.4 from both sides
- Simplify to -3x = 16.8
- Divide both side by -3

Answers

Subtract 2.4 from both sidesSimplify to -3x = 16.8Divide both side by -3Simplify to x = -5.6

8.27 Any quarter has a face value of $0.25. An eccentric collector offers to buy state quarters for 600% of their face value. At that rate, how much will Larry receive for his collection of all 50 state quarters?

Answers

Answer:

$7.50

Step-by-step explanation:

First we find what is the value at which the eccentric collector offers to buy the quarters for. We know the value at which they will buy the quarter for is 600% of the face value - which is $0.25.

Now we do some math and find the value at which the person will buy the quarter for is $1.50.

Now we multiply the value by 50 since Larry would be giving 50 quarters.

$1.50*50 = 7.50

So, Larry will receive $7.50 for selling his 50 quarters to the eccentric collector.

Answer:

Larry will get $1.50.

Step-by-step explanation:

Given:

Any quarter has a face value of $0.25. An eccentric collector offers to buy state quarters for 600% of their face value.

To find:

How much will Larry receive for his collection of all 50 state quarters.

The formula used to calculate percentage is: (value/total value)×100%.

Step 1 of 1

An eccentric collector offers to buy state quarters for 600% of their face value which means [tex]$6 \times 100 \%$[/tex]. Therefore, 600% of a number is the same as 6 times that number.

50 state quarters is 0.25 dollars .

Larry will get [tex]$6 \times 0.25=1.50$[/tex] dollars.


19. Parkash had just enough money to buy 100 pencils. However, he bought only 70 pencils and had $4.50 left. What was the cost of each pencil?

Answers

Answer:

since the unknown amount can buy 100 pencils

he bought 70 pencils

therefore $4.50 can buy 30 pencils

so 1 pencils cost $4.50 /30=0.15

The answer would be 0.15 cents a pencil

What steps should be taken to calculate the volume of the right triangular prism? Select three options.

A triangular prism. The triangular base has a base of 8 meters and height of 14 meters. The height of the prism is 7 meters.

A. Use the formula A = one-half b h to find the area of the base.

B. Use the formula A = b h to find the area of the base.

C. The area of the base, A, is One-half (7) (8) = 28 meters squared.

D. The area of the base, A, is One-half (8) (14) = 56 meters squared.

E. The volume of the prism, V is (56) (7) = 392 meters cubed.

Answers

Answer:

A D E

Step-by-step explanation:

A) The formula for the area  of a  triangle is [tex]\frac12 bh[/tex]

D) The base is 8 and the height is 14 so the area of the triangle is 56 meters squared.

E) Volume is [tex]56\times7=392[/tex] meters cubed.

Have a nice day :)

Answer should be A D E

A lightbulb manufacturer must test
a
to ensure
sample of lightbulbs
that quality and safety standards are being met.
Which of these methods will produce the most representative sample
of the
population of lightbulbs made by this company?
O A. The manufacturer tests every lightbulb made on Monday.
O B. The manufacturer tests the last 100 lightbulbs produced each
month.
O C. The manufacturer tests the first lightbulb off the production line
each day.
manufacturer tests every 1000th lightbulb off the production
• D. The
line.

Answers

OB the manufacturer test the last 100 lightbulbs produced each
no bun it was remind eke i t wow kw ai aka a kw w is

The graph shows the relationship between the number of months different students practiced baseball and the number of games they won:

The title of the graph is Baseball Games. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Games Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 1 and 1, 3 and 2, 5 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 14 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 1.8 and 2, 5.6 and 4, 9.2 and 6, 13 and 8, 16.5 and 10, 20.5.

Part A: What is the approximate y-intercept of the line of best fit and what does it represent?

Answers

Answer:

Answer:

won: The title of the graph is Baseball Games. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Games Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 1 and 1, 3 and 2, 5 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 14 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 1.8 and 2, 5.6 and 4, 9.2 and 6, 13 and 8, 16.5 and 10, 20.5.

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

i think

I only need 1 more mark for this question but I don’t know what to write in order to get that mark. Can anyone help ?

Answers

Answer:

The difference between the lengths of two line segments AB and CD given in the following figure is

Step-by-step explanation:

I don’t see a question or attachment??

I REALLY NEED HELP: Greg uses an overhead projector to enlarge a rectangular drawing to a width of 300mm. The original drawing is 60 mm wide by 80mm high. What is the height of the projected image?

Answers

The height is 400 mm high.

60 reaches 300 by a factor of 5
so if you do 80 x 5 you get 400.

Answer:

height = 400mm high

Step-by-step explanation:

if 300/60=5

so 80x5=400.

send help 20 points added

Answers

Answer:

$6/$7

Step-by-step explanation:

150/175=

30/35=

6/7

Answer:

6/7 :)

Step-by-step explanation:

150/175 reduces to 6/7


7. Find the sum of 67 tenths and 35 hundredths. Give your answer as a decimal.

Answers

Step-by-step explanation:

since the tenth for the 67 is 6

and the hundredth for 35 is 5

then the sum

6/10+5/100

0.6+0.05

= 0.65

Answer:

7.05

Step-by-step explanation:

67 tenths is 6.7

35 hundredths is 0.35

6.7 + 0.35 = 7.05

Which means the answer is 7.05.

8.41 Compute 40% of 20% of 10% of 80,000.

Answers

Answer: 640

Step-by-step explanation:

In this case, we can substitute the word "of" with multiplication.

we have:

40% ×20%×10%×80000

solving this out, you get the answer!

(and yes, I recognize this problem from the aops textbook, if you want a different solution, check 8.21 in the solutions manual)

Answer:

The 40% of 20% of 10% of 80000 is 640.

Step-by-step explanation:

We are given with a number 80000We are asked to find the 40% of 20% of 10% of the numberWe can do this in one single step

         Step 1: Computing the value

Step 1 of 1

We are asked to find the value 40% of 20% of 10% 80,000 40% of 20% of 10% of 80000

[tex]&=\frac{40}{100} \times \frac{20}{100} \times \frac{10}{100} \times 80000 \\&=\frac{40}{100} \times 1600 \\&=640\end{aligned}$$[/tex]

What is the selling price?

Selling price: $22 and Loss: 12%

Answers

Answer:

25

Step-by-step explanation:

12%=0.12

1-0.12=0.88

22 is 0.88 of the original price

22=x*0.88

22/0.88=x

25=x

x=25

25 haveee toooo makkkeeeee itttt lonnnngggeeerrrrr

IM NEED HELPP: This year the elementary school had 175% the number of students they had last year. Last year, there were 300 students. How many are there this year?

Answers

Answer:

525

Step-by-step explanation:

Multiply 300 by 1.75. You get 525

525 students are there this year

how many more cartons are needed to hold 1500 books in cartons of 10 than in cartons of 15?

Answers

Answer: 50

see attached photo for explanation

The cartoons of 10 be 150 and cartoons of 15 be 100.

What is Unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

total books = 1500

So, cartoons of 10 needed

=1500 / 10

=150 cartoons

and, cartoons of 15 needed

=1500/15

=100 cartoons

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NO EXPLAINATIION HELP FAST PLEASEEE
(07.05A)


Which of the following has a graph that is a straight line?


Equation 1: y = 2x + 7

Equation 2: y2 = x − 1

Equation 3: y = 2x2 + 4

Equation 4: y = 3x3



HELP FAST NO EXPLAINATION NEEDED

Answers

Equation2 AAAAAAAAAAAA
Equation 1 is the answer.

If "a" is a negative integer and "b" is a positive integer, which of the following statements must be true?

I. b + a > 0
II. [tex]\frac{b-a}{a}[/tex] < 0
III. a^b < 0

A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:

B

Step-by-step explanation:

I. Falae. Consider a = -3 and b = 2.

II. True. b-a must be positive, and a is negative.

III. False. Over the reals, exponential functions are positive.

The answer is B because it is a negative fraction and negative numbers are indeed below zero

7.6.7. Homer began peeling a pile of 44 potatoes at the rate of 3 potatoes per minute. Four minutes later, Christen joined him and peeled at the rate of 5 potatoes per minute. When they finished, how many potatoes had Christen peeled?

Answers

Answer:

When they finished, the number of potatoes had Christen peeled is 20 potatoes.

Step-by-step explanation:

Given:

Homer began peeling a pile of 44 potatoes at the rate of 3 potatoes per minute.

Four minutes later, Christen joined him and peeled at the rate of 5 potatoes per minute We have to find the number of potatoes Christen has peeled.

Step 1 of 1

Homer peels 3 potatoes a minute, so in the four minutes he works alone, he peels [tex]$3 \cdot 4=12$[/tex] potatoes.

This leaves 44-12=32 potatoes for them to peel together.

Together, they peel 3+5=8 potatoes per minute, so they need

[tex]$\frac{32 \text { potatoes }}{8 \frac{\text { potatuos }}{\text { minute }}}=4$[/tex]minutes

to peel the rest of the potatoes.

Christen peels 5 potatoes a minute for 4 minutes, so she peels [tex]$5 \cdot 4=20$[/tex] potatoes.

The answer is 2 feet because I just did the test

400 ducks consume a reservoir of feed in 30 days, how long will it take 500 ducks

Answers

Answer:

24 days.

Step-by-step explanation:

First lets look at the facts.

400 ducks can eat a bunch of feed in 30 days.

That means that 200 ducks would take 60 days.

100 ducks would take 120 days.

Now, we must multiply 100 by 5 to get 500, the target amount of ducks, and divide 120 by 5 to get 24. So, 500 ducks can eat a reservoir of feed in 24 days.

Answer:

24 days

Step-by-step explanation:

It is an inverse proportion, the more ducks the less days the food lasts

400 ----- 30

500 ----- X

[tex]x=\frac{(400)(30)}{500} =\frac{12000}{500} =24[/tex]

Hope this helps

Evaluate the following expression. -8 x (-10 + (-7))

please help!

Answers

Answer:

136

Step-by-step explanation:

Answer:136

Step-by-step explanation: 136

-10+-7 equals -17

-17x-8 equals 136

a negative times a negative equals a positive


Circle the correct option: A, B, C, or D.

3. What is the value of 0.008 km in meters?

A 0.8
B 80
C 8
D 1.8

Answers

0.008 km to m
To convert from km to m:
Formula: multiply the value in kilometers by the conversion factor ‘1000’
Do 0.008 km = 0.0008 * 1000 = 8 meters

Answer:

Recall 1000m=1km

hence

0.008*1000=8

Ans 8m

I NEED A ANSWER FAST : The number of calories Brant consumes per day increased by 30% when he went to college. He was averaging 1,800 calories a day before he left. ABOUT how many calories a day is he consuming at college?

Answers

Answer:

2340

Step-by-step explanation:

Based on the given conditions, formulate 1800(1+0.3)

Calculate the sum or difference: 1800x1.3

Calculate the product or quotient: 2340

Answer: 2340

Hope this helps!

The number of calories Brant consumes per day increased by 30% when he went to college. Brant is consuming about 2,340 calories per day at college.

To calculate the number of calories Brant is consuming at college, we need to find 30% of his previous calorie intake and then add it to his initial daily consumption.

Calculate the 30% increase:

30% of 1,800 calories = 0.30 * 1,800 calories = 540 calories

Add the increase to his initial calorie intake:

Calories at college = Initial calories + Increase

Calories at college = 1,800 calories + 540 calories = 2,340 calories

Therefore, Brant is consuming about 2,340 calories per day at college.

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Can someone answer this?

I’ll give Brainliest if you explain how you got the answer.


20 points?

Only questions C and D need to be answered

Answers

Explanation:

C. Perimeter of Trapezium

= sum of all sides

=  8 + 4 + 4 + 6

= 22

D. Area of Trapezium

= 1/2 × (a + b) × height

= 1/2 × (8 + 6) × √15

= 7√15

E. Perimeter of square

= 4(side)

= 4(5)

= 20

F. Area of square

= side × side

= 5 × 5

= 25

I. Answer

The area will be 4 times more than the current area of about 64 units².

side² = 16

side = √16

side = 4

If the side is doubled, new side = 4 × 2 = 8

New Area: 8² = 64 units²

C. Area=22cm
All the sides added together


Equation for area of trapezium=1/2(a+b)h
8+6=14/2=7
7•15=105
105+7=112
D=112cm squared


PLEASE ANSWER ASAP: After moving to a new house the McGraths budgeted $250 for landscaping. On their visit to a local nursery they chose 8 sunflowers priced at $10.95 a piece and 12 roses priced at $11.95 each. By how much did they exceed their budget?

Answers

Answer:

They did not exceed their budget.

Step-by-step explanation:

8(10.95) + 12(11.95) = $231

250 - 231 = $19 savings

Answer: They didn't exceed the budget

Step-by-step explanation:

FACTS:

their budget is $250 dollars.

They buy:

8 sunflowers at 10.95 each

12 roses at 11.95 each.

How much did they exceed their budget? (in other words, by how much did they go over their spending limit?)

Step 1: Find the total amount of money spent on sunflowers.

We know they got 8 sunflowers, and each sunflower cost $10.95.

Total on sunflowers= 10.95x8= $87.60

Step 2: Find the total amount spent on roses

12 roses, each one costs 11.95.

total on roses= 11.95x12=$143.40

Step 3: Find how much was spent

143.4+87.6= 231

They didn't exceed their budget. In fact, they were $19 under their spending limit because 250-231= 19. I double checked my answer.

What is angle A equal?

Thanks :)

Answers

angle A and angle B sums up to 180 (interior angles)

6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 162
x = 18

angle A = 6(18)-35 = 73 degrees
Angle A equals = 73 degrees

−11−(−5)/2×3 is an example of


A. an algebraic expression
B. a numerical equation
C. a numerical expression
D. an algebraic equation

Answers

Answer:

C, numerical expression

Step-by-step explanation:

B and D mean equations, not expressions. Equations are when one side is equal to the other so we can rule those out. A algebraic expression has variables like X in it, but this doesn't have any variables, so C is your answer, a numerical expression.

c, a numerical expression


18. Ericka bought 5 palettes and 3 paint brushes for $22.40. She could have bought 14 palettes with the same amount of money. If she had bought 5 paint brushes and no palettes, how much more money would she have had to pay?

Answers

Step-by-step explanation:

since 14 palette can be bought for $22.40

then one pallet will be bought for $1.6

so 5 pallet = $8

the amount for 3 brushes = $22.40-$8 =$14.4

so the amount for one brush = 14.4/3=4.8

therefore the amount for 5 brushes =$24

therefore Ericka will extra ($24 -22.40)

=$1.6

since 14 palette can be bought for $22.40
then one pallet will be bought for $1.6
so 5 pallet = $8
the amount for 3 brushes = $22.40-$8 =$14.4
so the amount for one brush = 14.4/3=4.8
therefore the amount for 5 brushes =$24
therefore Ericka will extra ($24 -22.40)

=$1.6

an algebraic expression with square of the sum of two numbers is 49

Answers

(x+y)=7

Step-by-step explanation:

because the x plus y was squared,we find the square root of the 49 which is 7 and the answer remains (x+y)=7

The answer is 7 because 49 squared is 7

Check:

7*7 is equal to 49

The Crawfords drove for 4000 miles. This was 1/3 the distance the Blake family drove. How many miles did the jones family drive.

Answers

the answer is 12000 miles, hope this helps <3
12000 hope dis helps you
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