Write a system of equations to describe the situation. Then solve the system.
Be sure to define your variables
Rizzo has $1.50 less in his piggy bank than his sister Shonda. If Shonda had $9 more, she would have three times as much money as Rizzo. How much money do each of the children have in their banks?

Answers

Answer 1

Answer:

Shonda has ( x )dollars in her piggy bank.

Rizzo has ( x-1.50 )

if Shonda has $9 more than x; (x+9),would be equal to

3 times the dollars Rizzo has, or, 3(x-1.50). The two quantities are equal, we can solve for x.

x+9 = 3(x-1.50)

Dustribute the 3

x+9 = 3x - 4.50

Isolate the variable on the left and constants on the right of the equation by subtracting 3x and 9 from both sides.

x+9 = 3x - 4.50

-3x-9 = -3x - 9

-2x = - 13.50

Divide both sides by - 2

Shonda has; x = 6.75

Rizzo has; (6.75 - 1.50) = 5.25

6.75 + 9 = 3(6.75 - 1.50)

15.75 = 3(5.25) or 15.75.

Passes the check.

Shonda has $6.75 in her piggy bank and Rizzo has $5.25.


Related Questions

Help solve these problems

Answers

Answer:

Step-by-step explanation:

Expression;  coefficient, variable; constant; substitute, though I think it should be substitute 7 for x, not 3 for x; and simplify

What specific measure of a geometric figure is shown in the image?
A. A 100° angle
B. A 100 mm side length
C. An 80° angle
D. A 180 mm side length

Answers

Answer:

I think its C???

Answer:

c hope its hleps

Step-by-step explanation:

I just took the test

28 = 7x + 3 - 2x

Need all the work shown too solve for X

Answers

Answer:

X = 5

Step-by-step explanation:

28 = 7x + 3 - 2x

28 = 5x + 3

28 - 3 = 5x + 3 - 3

25 = 5x

25/5 = 5x/5

X = 5

Answer:

X = 5

Step-by-step explanation:

1. Combine like terms.

2. Subtract 3 from both sides.

3. Simplify.

4. Divide both sides of the equation by the same term.

5. Simplify.

Hope this helps!

1/3 + a = 5/4
a = __??

Answers

Answer:

The correct answer is,

[tex]x = \frac{11}{12} [/tex]

Micah has three 6-foot-long sandwiches. He needs to cut pieces that are 8 inches long from the sandwiches. What is the greatest number of 8-inch pieces he can cut from the three sandwiches?

Answers

Answer:

27 pieces

Step-by-step explanation:

1) first, multiply 6 times 3 (6×3=18)

2) 1 ft = 12 in. so you multiply the 18 by 12 (18×12=216)

3) now you divide the 216 by 8 (216÷8=27)

Dose anyone on this app know how to figure this out ?

Answers

Answer:

fuigire what

Step-by-step explanation:

maybe my friend can help

solve 49x + 9 = 49x + 83. write two equations in one variable that have the same number of solutions as this equation.

Answers

Answer:

It has infinity solutions.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The equation 49x + 9 = 49x + 83 has no solutions.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation.

2x + 4x + 5 = 7 is an equation.

We have,

49x + 9 = 49x + 83

Solving for x we get,

49x + 9 = 49x + 83

Subtract 49x on both sides.

9 = 83

This is not true.

This condition is a system of equations where there are no solutions.

Thus,

The equation 49x + 9 = 49x + 83 has no solutions.

Learn more about equations here:

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What is the correct answer?​

Answers

The answer is option 2

it option 2

Step-by-step explanation:

Name the property of multiplication that is shown by the equation 4x· 1 = 4x

Answers

Transitive property I believe

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!

What is the radius of this circle?




8 inches


4 inches


64 inches


16 inches

Answers

4 inches, wryyyyyyyyyyy

Answer:

4 inches

Step-by-step explanation:

The radius always measures one-half the length of the diameter.

Four times a number is -8.8

Answers

Answer:

-2.2

Step-by-step explanation:

-2.2*4=-8.8

Answer:

-2.2

Step-by-step explanation:

-8.8÷4=-2.2

Its not that hard....

Sat prep find the value of x

Answers

Answer:

x=95 degrees

Step-by-step explanation:

total degrees would = 180 degrees

180-15-45-x-25=180

x=95 degrees

Answer:

55°

Step-by-step explanation:

Refer to picture

Add parallel lines passing through vertices of x and 45°.

Use corresponding angles postulate to find that:

x - 25° = 45° - 15°x - 25° = 30°x = 55°

A quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿

Answers

Answer:

the length of PQ is equal to the length of P'Q'

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Translation is the movement of a point either up, down, right or left. Translation is a type of rigid transformation. Rigid transformation is a transformation in which both the image and pre-image have the same shape and size. types of rigid transformation are rotation, reflection and translation.

Quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿. Since translation is a rigid transformation, the shape and size of PQRS is the same as that of P'Q'R'S. Hence the length of PQ is equal to the length of P'Q'.

To solve the problem we must know about translation.

What is translation?

A translation is a process of moving a graph or point from its initial location to another location without making any changes in its shape or size, we can tell whether the translation is done towards the right, left, up, or down by just looking at the operation that takes place within the parentheses of a function or a completely separate function.

The correct option is B, the length of P'Q' is equal to PQ.

Given to us

A quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿

As we know translation does not cause any change in the shape and the size of the quadrilateral, therefore,

Area of PQRS = Area of P'Q'R'S'PQ = P'Q'QR = Q'R'RS = R'S'PS = P'S'

Hence, the correct option is B, the length of P'Q' is equal to PQ.

Learn more about Translation:

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Tickets to Disneyland used to cost $109. They have decided to increase the price by 41%. What is the new cost of disneyland tickets? QUICK

Answers

Answer:

the answer is $153.69

The drama department needs to raise at least 575.00 for a trip to see a play they have already 163.00 if they sell candybars for 1.25 each how many do they need to sell to exceed there goal​

Answers

Answer:

330

Step-by-step explanation:

575 - 163 = 412

412 / 1.25 = 329.6

Since we need to exceed the goal and we can only sell whole candy bars, we round 329.6 up to 330.

when 7 times a number is decreased by 13, the answer is the same as 5 times the number is increased by 5. what was the number?

Answers

58
7(x) - 13 = 5(x) + 5
7x - 91 = 5x + 25
7x - 5x - 91 = 25
2x - 91 = 25
2x = 25 + 91
2x = 116
x = 58

Answer:

I got 9.

Step - By - Step Explanation:

7x - 13 = 5x + 5

7x = 5x + 18

2x = 18

x = 18 ÷ 2 = 9

x = 9

An item has an original price of $25 the store marked it down 12% what is the sale price?

Answers

Answer:

Step-by-step explanation:

we need to find first the marked down

25*12/100=3

the new price will be 25-3=22 dollars

Can someone help me on this please

Answers

Answer:

sin ∅ = 16 /34

cos ∅ = 30 /34

tan ∅ =  16 /30

Step-by-step explanation:

SOH CAH TOA

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

the hypotenuse is always across from the right angle and has the longest side

Determine each percentage by writing a proportion. Round to the nearest tenth if necessary.

What % of 6 is 5?

Answers

Answer:

Rounded: 83%

Step-by-step explanation:

5 ÷ 6 = 0.83 (3 repeating)

= 83%

Please mark me Brainliest :)

Answer:

83.3

Step-by-step explanation:

Set up your proportion. 5x100=500. 500/6= 83.3.

HELP PLZ, IT IS DUE IN 10 MIN!

Answers

Answer:

11.25 = 3% of 375

11.25= 20% of 56.25


Fourteen more than four times a number is equal to the difference between - 56 and three times the number. Find the number

Answers

4x + 14 = 3x -56
subtract 3x from both sides.
x + 14 = -56
Subtract 14 from both sides.
x = -70

The number is -70.

What two numbers multiply to -32 and add up to 4

Answers

Answer:

-4 and 8

Step-by-step explanation:

-4 x 8 = -32

-4 + 8 = 4

The two numbers that multiply to -32 and add up to 4 are -8 and 4.

To find two numbers that multiply to -32 and add up to 4, we can use a factoring approach or trial and error.

Let's consider two numbers, x and y, such that:

xy = -32 (Equation 1)

x + y = 4 (Equation 2)

We need to find values of x and y that satisfy both Equation 1 and Equation 2 simultaneously.

By trying different pairs of numbers, we can find that -8 and 4 satisfy both equations:

-8 * 4 = -32 (Equation 1)

-8 + 4 = 4 (Equation 2)

Therefore, the two numbers that multiply to -32 and add up to 4 are -8 and 4.

To know more about multiply:

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Pls help I’ll brainlest for the right answer

Answers

Answer:

48

Step-by-step explanation:

The scale of a model train is 1 Inch to 14 feet. One section of the model train is 32 inches long. What is the length, in feet, of the real life version of the section of train cars?​

Answers

Answer:

5⋅13.5=67.5

so its 67.5

Step-by-step explanation:

Please help!!! I’ll give brainliest too!

Answers

Answer:

y-intercept: -5

Slope: 4

Equation: y = 4x - 5

Step-by-step explanation:

✔️ y-intercept (b):

When x = 0, y = -5. Therefore, the y-intercept (b) = -5. It is the point at which the y-axis cut across by the line. At this point, x is always zero.

✔️Slope using two points (0, -5) and (1, -1):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - (-5)}{1 - 0} = \frac{4}{1} = 4 [/tex]

Slope (m) = 4

✔️Equation in slope-intercept form y = mx + b:

Substitute m = 4, and b = -5 into y = mx + b

y = 4(x) + (-5)

y = 4x - 5

Share 144 in the ratio 7:9

Answers

You should sum 7 and 9 then divide 144 over 16

Answer:

The parts are 63 and 81

Step-by-step explanation:

Ratios

We have to split the number 144 into two parts such that they are in the ratio 7:9.

Let's call

x          = one of the parts

144 - x = the other part

It must be satisfied:

[tex]\displaystyle \frac{x}{144-x}=\frac{7}{9}[/tex]

Cross-multiplying the denominators:

9x = 7(144 - x)

Operating:

9x = 1008 - 7x

Adding 7x:

16x = 1008

Dividing by 16:

[tex]x = \frac{1008}{16}=63[/tex]

First part: x=63

Second part: 144-63=81

The parts are 63 and 81

ANSWER AS QUICK AS POSSIBLE WILL GET BRAINIEST!!!!!

:Which equation can be used to calculate the area of shaded triangles in the figure below:
A, 2 (12 x 4) = 96 feet.
B, 1/2 (12 x 4) = 24 square feet.
C, 2(12+4)=32 square feet
D, 1/2(4+12)= 8 square feet

Answers

Answer: da vinkiy

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

4 x 12

then divide by 2

which can also be known as mult 1/2

When Ms. Wilson calls to place her order, the store informs her that the delivery fee has increased by $4, but the price of the topsoil remains the same. Write an equation to represent the new situation. Explain

Answers

Answer:

28$  + 4$

Step-by-step explanation: the chart at one yard of top soil was 28$

horizon cellular offers a monthly plan of $15 for 350 minutes. All talk cellular offers a monthly plan of $20 for 425 minutes. which company offers the better plan per minute? ill give brainliest

Answers

Answer:

Step-by-step explanation:

350minutes / $15 = 23.33 minutes per dollar

425minutes/$20 = 21.25 minutes per dollar

Looks like you get more minutes per dollar out of the $15 dollar plan. :)

Answer:

the 15 dollar plan

Step-by-step explanation:

I need the answer asappp

Answers

- this is a proportion so you can cross multiply to find the answer.

162.5       25

--------- = ---------

x              54

162.5(54) = 25x

8775 = 25x

x = 351

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