Emma has $x in her bank account. Jonah has $40 more than twice as much as Emma in his bank
account. Together they have $760. Write and solve an equation to determine how much money Emma
has in her bank account.

Answers

Answer 1

Answer:

$240

Step-by-step explanation:

We can set this up by making an equation: x + 2x + 40 = 760.

Now we can solve.

x + 2x + 40 = 760 (combine like terms (x))

3x + 40 - 40 = 760 - 40 (subtract 40 from both sides)

3x / 3 = 720 / 3 (divide by 3 to isolate x)

x = 240

Because Emma has $x, she has $240 in her bank account.

You can check this by substituting this value for x in our original equation.


Related Questions

Eight eagle stamps and two raccoon stamps cost $2.80. Three eagle stamps and four raccoon stamps cost $2.35. Find the cost of each kind of stamp

Show work please

Answers

Answer:

Cost of each eagle stamp = $0.25

Cost of each racoon stamp = $0.4

Step-by-step explanation:

Given:

Cost of 8 eagle stamp and 2 racoon stamp = $2.80

Cost of 3 eagle stamp and 4 racoon stamp = $2.35

Find:

Cost of each stamp

Computation:

Assume;

Cost of each eagle stamp = e

Cost of each racoon stamp = r

So,

8e + 2r = 2.80........... Eq 1

3e + 4r = 2.35 ........... Eq 2

Eq 1 x 2

16e + 4r = 5.6 .........Eq3

Eq 3 - Eq 2

13e = 3.25

e = 0.25

Cost of each eagle stamp = $0.25

8e + 2r = 2.80

8(0.25) + 2r = 2.80

2 + 2r = 2.80

r = 0.4

Cost of each racoon stamp = $0.4

What is the probability that I will roll a 4 on a standard number cube?

Answers

Answer:

the probability of rolling any single digit on a 6-sided fair cube is 1/6

To roll a 4 on a standard number cube is 1/6

Please answer for branliest

Answers

38/92 is the probability
38/ (38+30+24)

find the difference between 0.1 kg and 75g​

Answers

Answer:

25 g

Step-by-step explanation:

0.1 kg can be written as 100 grams

& 75 g

while 1 kg is 1000 grams

so difference:-

(100- 75 ) grams

= 25 g

The difference between 0.1 kg and 75 g is 25 grams. To find the difference between 0.1 kg and 75g, you need to make sure both quantities have the same unit.

Since 1 kg is equal to 1000 g, you can convert 0.1 kg to grams:

0.1 kg = 0.1 * 1000 g = 100 g

Now, the two quantities are in the same unit:

0.1 kg - 75 g = 100 g - 75 g = 25 g

So, the difference between 0.1 kg and 75 g is 25 grams.

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geometry help pleaseeee

Answers

Answer: 11

Step-by-step explanation:

[tex]48=4x+4[/tex] (angles opposite congruent sides in a triangle are congruent)

This gives that x = 11

Combine like terms to create an equivalent expression: 6.7+3.5x+3.3-4.7x

Answers

Step-by-step explanation:

....djdjbeoehehoeebdnskeje

The Unit Circle

What is the period for the graph of y = cos(∅)? (Sketch a graph to help determine the answer)

a. 180°
b. 90°
c. 360°
d. 270°

Please select the best answer from the choices provided

Answers

Answer:

C. 360°

Step-by-step explanation:

I calculated it logically

Answer:

Answer is C) 360°

Step-by-step explanation:

What is the solution to the equation √8x = √4+2x?

Answers

Answer and Step-by-step explanation:

The first step in solving for x is to square both sides.

8x = 4 + 2x

Now, subtract 2x from both sides.

6x = 4

Now, divide each side by 6.

x = [tex]\frac{4}{6} = \frac{2}{3}[/tex]

x = [tex]\frac{2}3}[/tex] is the answer.

#teamtrees #PAW (Plant And Water)

Find the area of the shaded region in the drawing round to the nearest tenth show all work

Answers

Answer:

The area of the shaded region is:

488 ft^2.

Step-by-step explanation:

First, we're gonna find the area of the whole rectangle and next we can subtract the area of the triangles in the corners, we use the next formula:

Area of a rectangle = width * heigth

And we replace the measurements in the picture (32 ft and 16 ft):

Area of a rectangle = 16 ft * 32 ftArea of a rectangle = 512 ft^2

Now, we must calculate the area of a triangle, this can be made by this formula:

Area of a triangle = (base * height) / 2

We can replace the values we have in the picture (4 ft and 6 ft), then:

Area of a triangle = (4 ft * 6 ft) / 2Area of a triangle = (24 ft^2)/ 2Area of a triangle = 12 ft^2

As you can see in the picture, we have to subtract two triangles with the same measurements, by this reason, we multiply the area of the triangle by two and we'll obtain the area we must subtract:

Area to subtract = (12 ft^2) * 2Area to subtract = 24 ft^2

At last, we take the area of the whole rectangle and subtract the area of the triangles:

Area of the shaded region = 512 ft^2 - 24 ft^2Area of the shaded region = 488 ft^2

The area of the shaded region is 488 ft^2.

Julie started her own lawn mowing business to earn some extra money last
summer. She earned $2100 and had expenses of $669 (lawn mower, weed
eater, gas, etc.). She has no income to report on line 1a or line 1b of
schedule SE below. She also has a zero entry on line 29 of Form 1040. Use
this information to complete table entry 3 below. *

Answers

2100 is the answer I think

i need assistance please

Answers

i got 22%! hope this helps

No links please 15 Points

Answers

Answer:

C

Step-by-step explanation:

The base of the sandbox is shaped like a parallelogram. He parallelogram base has an area of 9 square feet and the sand box gas a volume of 13.5 cubic feet. What is the height of the sandbox?

Answers

Answer:

1.5 feet

Step-by-step explanation:

V = base area x height

divide the two members by the base area

height = V/ base area

height = 13.5 / 9 = 1.5 feet

If there is a $50 profit on the large cabinets and a $30 profit on the small cabinets.
What number of large and small cabinets maximizes the objective function?
P = 50x + 30y
a) o large and 10 small
b) 8 large and small
c) 4 large and small
d) 4 large and 5 small

Answers

Answer: B

Step-by-step explanation: I hope I am good at math if not sorry

The combination of 8 large cabinets and 8 small cabinets maximizes the objective function, resulting in a value of 640. Option b is correct.

To maximize the objective function P = 50x + 30y, where x represents the number of large cabinets and y represents the number of small cabinets.

Need to determine the combination of x and y that results in the highest value for P.

For 0 large and 10 small:

P = 50(0) + 30(10)

= 0 + 300

= 300

For 8 large and 8 small:

P = 50(8) + 30(8)

= 400 + 240

= 640

For 4 large and 4 small:

P = 50(4) + 30(4)

= 200 + 120

= 320

For 4 large and 5 small:

P = 50(4) + 30(5)

= 200 + 150

= 350

Based on these calculations, 8 large cabinets and 8 small cabinets maximizes the objective function, resulting in a value of 640.

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Two parallel lines are cut by a transversal. What is the measure of <1?

A 80
В. 180
C. 100
D. 90

Answers

Answer:

C - 100

Step-by-step explanation:

9514 1404 393

Answer:

  C.  100°

Step-by-step explanation:

Consecutive (same-side) exterior angles are supplementary.

  ∠1 = 180° -∠7 = 180° -80°

  ∠1 = 100°

160% of what number 56?

Answers

Answer:

160% of 35 is 56.

Step-by-step explanation:

[tex]\frac{56}{y} :\frac{160}{100}[/tex]

y · 160 = 56 · 100

160y = 5600

160y ÷ 160 = 5600 ÷ 160

y = 35

what is the answer to 3(x-2)+15=-3(x-3)
i will give brainliest

Answers

Answer:

x = 0

Step-by-step explanation:

3(x - 2) + 15= -3(x - 3)

3x - 6 + 15 = -3x + 9

3x + 9 = -3x + 9

3x + 3x = 9 - 9

6x = 0

x = 0

Use formulas to find area

Answers

120.08 u just had to multiply

Answer:

120.08

Step-by-step explanation:

15.8 x 7.6

-> 120.08 [tex]m^2\\[/tex]

You went out to dinner with your friends. You are going to leave an 18% tip; how much money should you leave if the bill is $36.00? Include the tip and the food cost. You will pay $​

Answers

answer:

$42.48

step-by-step explanation:
18% of 36 is 6.48

18 percent *36 =

(18:100)*36 =

(18*36):100 =

648:100 = 6.48

36 + 6.48
42.48

I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade

Answers

the answer is d !! have a good day

Answer:

pretty sure the answer is electrons  so D

Step-by-step explanation:

Electrons are particles that surround the nucleus of an atom like a cloud

The Pythagorean Identity states that (sin x)^2 + (cos x)^2 = 1 Given cos 0 = 7/4 find sin 0. Simplify the fraction.

Answers

Answer:

sin∅=3/4

Step-by-step explanation:

sin²x+cos²x=1

sin²x+(√7/4)²=1

sin²x+7/16=1

sin²x=9/16

sinx=3/4

Therefore, sin∅=3/4

Is the answer A, B, C, or D?

Answers

Answer:

A

Step-by-step explanation:

2 3/8=19/8=2.375

Evaluate the following expression if x= 2.14
3.35x + 25 - 2x

Answers

Answer:

The final answer is 27.889 (Feel free to round it)

Step-by-step explanation:

3.35 x 2.14 = 7.169

7.169 + 25 = 32.169

2 x 2.14 = 4.28

32.169 - 4.28 = 27.889

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

27.88 is the answer

struggling with homework!!

Answers

Answer:

40

Step-by-step explanation:

if 20% were Caesar and 20 divided by 5 is 4, then every four salads sold is five percent.

A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.

Answers

Answer:

1. 6

2. 6

3. 10

4. 600

Step-by-step explanation:

edg :)

The complete table is given below.

x          f(x)            g(x)           h(x)

 1          2                3               6

2          4                6              24

5         10               15             150

10        20              30            600

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), and a ratio of 2 to 3. The area of the deck is represented by the function h(x).

The functions are given below.

f(x) = 2x

g(x) = 3x

h(x) = f(x) × g(x) = 6x²

Complete the table with the missing side lengths and areas of the deck.

x          f(x)            g(x)           h(x)

 1          2                3               6

2          4                6              24

5         10               15             150

10        20              30            600

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If 4 is subtracted from a certain number and the difference is divided by 4, the result is 1 more than 1/6 of the original number. Find the original number

Answers

Answer:

Step-by-step explanation:

x-4/4=x/6+1

x-4 =4/6x+4

x-2/3x =8

1/3x =8

x=24

A sixth grade class recorded the number of letters in each students first name. The results are shown in the dot plot. Which is the best representation of the center of this data set?

Answers

Answer:

the center of the data set is 7 so probably 7

7 is the best representation of the center of given data set.

The correct answer is an option (C).

What is center of data?"It is the middle of a distribution.""Mostly, The measures of the center of the data are the mean and the median."What is mean?

"It is the average of the given numbers."

What is median?

"I is the middle value of a sorted list of numbers."

For given question,

We have been given a dot plot of the number of letters in each students first name.

From the given dot plot,

We have data as 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6,6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 11

From above data,

the total number of students in the class are n = 30

We write 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6,6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 11 as 3, (4 × 2), (5 × 4), (6 × 7), (7 × 7), (8 × 3), 9, (10 × 2), (11 × 3)

So, the mean of the above data would be,

[tex]\Rightarrow \bar{X}=\frac{3+ (4\times 2)+(5\times 4)+(6\times 7)+(7\times 7)+(8\times 3)+9+(10\times 2)+(11\times 3)}{30}\\\\\Rightarrow \bar{X}=\frac{208}{30}\\\\\Rightarrow \bar{X}=6.93\\\\\Rightarrow \bar{X}\approx 7[/tex]

From above data we can observe that there are two numbers in middle of the data 6 and 7.

So, the median would be,

[tex]\Rightarrow M=\frac{6+7}{2}\\\\\Rightarrow M=6.5\\\\\Rightarrow M\approx 7[/tex]

Therefore, 7 is the best representation of the center of given data set.

The correct answer is an option (C).

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The table below represents which equation ?

Answers

Answer:

D

Step-by-step explanation:

Find the slope by picking two ordered pairs in the table and using the slope formula( y2-y1/x2-x1) to get the slope. The smallest numbers are easiest to work with. (-1,1), (0,-2)

-2-1/0-(-1) = 3/0+1 = -3/1 = m=-3

Use one of the points you used and plug in the x and y values of the ordered pair into the equation with the slope to find your b( y-intercept). (0,-2)

-2= -3(0) +b

-2= 0+b

b=-2

The final equation will only have your slope and b( y-intercept). That should be your answer. Hope this helps!

Final Equation: y=-3x-2

Somebody Please help!!!

Answers

Answer:

176

Step-by-step explanation:

8+8+64+64+16+16

The triangles below are similar. Find the length and round to the nearest tenth if necessary.

Answers

Answer:

x=48

Step-by-step explanation:

You start with the values of 4 and 16. Figure out how many times 4 goes into 16, which is 4. (4*4=16)

Now, since 4 is multiplied by itself to reach the value of 16, 12 will also be multiplied by 4 to give you the value of x.

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