Complete the real-world situation that could be modeled by the equation 150 − 8x = 170 − 12x. Xavier has $150 in his lunch account. He spends $ for lunch each day. Zack has $ in his lunch account. He spends $ each day. After how many days will the boys have the same amount of money in their accounts?

Answers

Answer 1

Answer:

5 days

Step-by-step explanation:

The question above is modeled by the equation :

150 − 8x = 170 − 12x.

After how many days will both have ye same amount :

Number of days = x

Collect like terms

-8x + 12x = 170 - 150

4x = 20

x = 20/4

x = 5 days

The boys will have the same amount in their account after 5 days.


Related Questions

max ran 100 feet in and Molly ran 60 feet in 5 seconds. who ran farther

Answers

Answer:

Is Max ran that far in 5 seconds (I’m assuming that because you didn’t Say) then he would of ran farther.

Step-by-step explanation:

Hope this hlps

Answer:

yeah max would of ran further

Step-by-step explanation:

hope you got it right

The total surface area of a hemisphere is 300 CM square. what is the surface area of a sphere having equal radius to the hemisphere.​

Answers

Answer:

its 4 :)

Step-by-step explanation:

The surface area of a sphere of radius r is 4 π2
π
r
2

Half of this is 2π2
2
π
r
2

Which is the area of hemisphere

The area of a circle of radius r is π2




thus if the hemisphere is meant to include the base then the surface area is

2π2+π2=3π2
2
π
r
2
+
π
r
2
=
3
π
r
2

Hence in this case 3π2=3×π×102=942.477796..

Solve for z. 1+2z<5.

Answers

Answer:

z < 2

Step-by-step explanation:

1 + 2z < 5

-1          -1

2z  < 4

z < 4 ÷ 2

z < 2

Which number line correctly shows –3 – 1.5?

Answers

Answer:

A

Step-by-step explanation:

solve for the variable
-14 = x -7
-12x = 60
x+11 = -11
- x/4 = 2

Answers

1) x= -7
2) x= -5
3) x=-22
4) x =8
Not sure about the last one tho
I tried to help :)

Answer:

x = -7

x = -5

x = -22

x = -8

Step-by-step explanation:

-14 = x - 7 (add 7 on both sides)

-7 = x

-12x = 60 (divide by -12 on both sides)

x = -5

x + 11 = -11 (subtract 11 on both sides)

x = -22

-x/4 = 2 (multiply both sides by 4)

-x = 8 (divide by negative)

x = -8

Hope this helps!!

Which pair of triangles must​ be similar? help please

Answers

Answer:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Explain why a + b = d.
B
A
C
swer

Answers

Answer:

Explanation below

Step-by-step explanation:

Angles in a Triangle

There are two basic relations of angles we need to recall:

Supplementary angles add up to 180°Internal angles of a triangle add up to 180°

Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:

c = 180 - ( a + b )

Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus

c = 180 - d

From the two relations above, it follows that:

a + b = d

nd Practice
3. Divisors and multiples of a number
Consider 28=7x4.
a) What does 4 represent with respect to 28?
b) What does 7 represent with respect to 28?
c) What does 28 represent with respect to
each of the numbers 7 and 4?

Answers

Answer:

a. Factor (divisor).  

b. Factor (divisor).  

c. Multiple.

Step-by-step explanation:

Given the algebraic expression;

28 = 7 * 4

We can re-write the expression as;

1. [tex] \frac {28}{4} = 7[/tex]

2. [tex] \frac {28}{7} = 4[/tex]

Hence, we can deduce the following points from the above algebraic expression;

a) With respect to 28, 4 represents a factor or divisor.

b) With respect to 28, 7 represents a factor or divisor.

c) With respect to each of the numbers 7 and 4, 28 represents a multiple.

Write an equation of a line through (4,-1), parallel to y = 1x – 5

Answers

y=1x -1

this is because you only change the z intercept when lines are parallel

Help me ASAP!!!!! Plsss!

Answers

-1,2 brainliest please

Find the slope of the given table

Answers

Answer:

7/3

Step-by-step explanation:

6- 13 = -7

0-3 = -3

7/3

10. Han is solving an equation. He took steps that are acceptable but ended up with
equations that are clearly not true.
5x + 6 = 7x + 5 - 2x original equation
5x + 6 = 7x - 2x + 5 apply the commutative property
5x + 6 = 5x+5
combine like terms
6 = 5
subtract 5x from each side
What can Han conclude as
result of these acceptable steps?
A. There's no value of x that can make the equation 5x + 6 = 7x + 5 – 2x true.
B. Any value of x can make the equation 5x + 6 = 7x + 5 - 2x true.
C. x = 6 is a solution to the equation 5x + 6 = 7x + 5 – 2x.
D. x = 5 is a solution to the equation 5x + 6 = 7x + 5 – 2x.

Answers

Answer:

There's no value of x that can make the

equation 5x + 6 = 7x + 5 – 2x true.

Hence, option 'A' is true.

Step-by-step explanation:

5x + 6 = 7x + 5 - 2x

5x + 6 = 7x - 2x + 5

5x + 6 = 5x+5

substract 5x from each side

5x-5x+6=5x+5-5x

6 = 5

This conclude that the sides of the equation are not equal.

i.e. L.H.S ≠ R.H.S

We know that when L.H.S ≠ R.H.S, then there is no solution of that equation as no x value can satisfy the equation.

Therefore, there's no value of x that can make the equation 5x + 6 = 7x + 5 – 2x true.

Hence, option 'A' is true.

What is -52 +3.
+3
18
-3
2
2
2.
118
718
-

Answers

Answer:

Step-by-step explanation:-2 1/8

Answer:

C.) -2 1/8

Step-by-step explanation:

-5 5/8 can be rewritten as  - 45/8

3 1/2 can be rewritten as 7/2

Now we need it so that the denominator is equal.

so, we are going to multiply 7 and 2 by 4 to get 2 to 8 and 7 to 28.

7/2 = 28/8

Now subtract.

28/8 - 45/8 = - 17/8

Now we simplify.

Since 8 x 2 equals 16, we subtract 16 from 17 and get 1 so, the whole number is 2 and the fraction is 1/8, so the answer is -2 1/8

a cheetah typically runs 15 miles in 1/5 hours how fast dose a cheetah run in miles/hours

Answers

Answer:

in an hour the distance it can carry is 75 miles, so the typical distance for an hour is 75 miles per hour

Step-by-step explanation:

please help meh im so bad at this stuff lol

Answers

Answer:187.5

Step-by-step explanation: I am bad at explaining but il try.

if 1/2x = 75y, that means 1x = 150. 1/4x is 1/2x divided by 2 which is 37.5.

2 1/4 is two 150 and one 37.5 so the awnser should be 187.5.

CAN SOMEBODY HELP ME WITH THIS PLEASE

Answers

Answer: d)  y = 8x

=======================================================

Explanation:

To find the rate of change, we'll need to find the slope.

Focus on Marisol's data table. Let's pick the first two rows to see that

(x1,y1) = (2,12)

(x2,y2) = (3,18)

The slope through these points is....

m = (y2-y1)/(x2-x1)

m = (18-12)/(3-2)

m = 6/1

m = 6

So she can purify 6 ounces of water per hour. We'll keep this rate in mind for later.

-----------------------------------

Now move onto Timothy's table

Again we'll pick the first two rows. You can pick any two rows you want, but the first two just seems most convenient.

(x1,y1) = (4,36)

(x2,y2) = (6,54)

m = (y2-y1)/(x2-x1)

m = (54-36)/(6-4)

m = 18/2

m = 9

Timothy's machine can purify at a rate of 9 ounces per hour. His rate is faster compared to Marisol.

-----------------------------------

To summarize, we have these rates

Marisol's rate = 6 oz per hrTimothy's rate = 9 oz per hr

Zorian's rate must be between 6 and 9 oz per hour.

So we must look through the answer choices and see which slope is between 6 and 9. That would be for the equation y = 8x since the slope here is 8, which is between 6 and 9.

Something like y = 15x doesn't work because the rate 15 is larger than Timothy's rate.

So that's why y = 8x is the answer.

Side note: The equation y = 8x is the same as y = 8x+0. It is in the form y = mx+b with slope m = 8 and y intercept b = 0.

5x + y = 7
y - intercept = ?​

Answers

The y intercept is 7.

Answer:

y-intercept is = 7

Step-by-step explanation:

What is the missing angle? PLS HELP

Answers

Answer:

70

Step-by-step explanation:

I need help with angles

Answers

Answer:

<2 is 115 degrees

Step-by-step explanation:

<7 and <6 are vertical angles, <6 and <3 and the same, and <3 and <2 are vertical as well

please give brainliest

How do you change a linear function based on changes in the real world?

Answers

Answer:

Linear functions apply to real world problems that involve a constant rate. Learning Objectives. Apply linear equations to solve problems about rates of change ... For example, the rate at which distance changes over time is called velocity.

Step-by-step explanation:

A metal plate measuring 32cm by 12cm is cut into
small squares of side length 4cm. How many squares will
be cut?​

Answers

Answer:

24

Step-by-step explanation:

First find the area of the metal plate: 32*12=384

Find the are of each small square to see how much space it takes: 4*4=16

Divide the two to see how many can fit: 24

Tell me if you have any questions!

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

Area of the metal plate = [tex] L \times B [/tex]

= [tex] 32cm \times 12cm \\ 384cm^{2} [/tex]

Area of small squares = [tex] a^{2} [/tex]

[tex] 4cm \times 4cm \\ =16cm^{2} [/tex]

Number of squares that can be cut =

[tex] \frac{384cm^{2} }{16 {cm}^{2} } = 24[/tex]

Hence 24 squares can be cut.

WILL GIVE BRAINLIEST PLEASE ANSWER
A parallelogram is dilated by a scale factor of 1/4 to produce a new parallelogram. Which of the following best describes the relationship of the area of the new parallelogram to the area of the original parallelogram?

The area of the new parallelogram is 1/2 the area of the original parallelogram.


The area of the new parallelogram is 1/4 the area of the original parallelogram.


The area of the new parallelogram is 1/16 the area of the original parallelogram.


The area of the new parallelogram is 1/8 the area of the original parallelogram.

Answers

Answer: The answer is 1/6.

Step-by-step explanation:

1/4 ^2 = 0.0625 which = 1/16.

The area of the new parallelogram is 1/16 the area of the original parallelogram statement best describes the relationship of the area of the new parallelogram to the area of the original parallelogram.

When a shape is dilated by a scale factor of "k," the area of the new shape is equal to the original area multiplied by the square of the scale factor.

The given scale factor is 1/4.

Therefore, the area of the new parallelogram would be (1/4)² = 1/16 of the area of the original parallelogram.

Hennce, "The area of the new parallelogram is 1/16 the area of the original parallelogram."

To learn more on Dilation click:

https://brainly.com/question/32833359

#SPJ6

Abby has 96 photos from her vacation. She wants to make a scrapbook that has 24 pages with the same number of photos on each page.

Answers

Answer:

There will be 4 photos on each page

Step-by-step explanation:

96/24=4

Can somebody just answer this in simplify form plz!!! Make sure it’s a correct answer :)

(I’m still new to this and idek what “simplify it” means...?
WILL MARK BRAINLIEST
PROMISE!

Answers

7-2 is 5 and multiple by 3 equal 15

what is the measure of <x​

Answers

Answer:

Y=76

X=104

Z=104

Step-by-step explanation:

Y is equal to 76 bcz directly opposite angles are equal

x=180-76 which is 104⁰ bcz angles on a straight line add up to 180⁰

If m varies directly as v² and m =3, when v=2, calculate the value of m when v=9

Answers

Answer:

m=243/4 when v=9.

Step-by-step explanation:

We know that when y varies directly with x², the formula of direct proportion is

y=kx²

where 'k' is the constant of variation.

so

As m varies directly with v², and m=3 when v=2

m=kv²

k=m/v²

 = 3/(2)²

  =3/4

Hence, k=3/4

so when v=9 then the expression becomes

m=kv²

substituting v=9 and k=3/4

m= 3/4(9)²

   =3/4 × 81

    =243/4

Therefore, m=243/4 when v=9.

BRAINLIEST AND 40 POINTS PLZ HELP I NEVER GET HELP

Look at points C and D on the graph:

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
5.50 units
6.40 units
9.00 units
41.00 units

Answers

6.40 units

You use the squaring method to fill in the triangle.

Count the sides 4 up and 5 across
Square them (16 and 25)
Add them together 16+25=41
Find the square root of 41 (6.40)

Good luck!

Answer:

6.4

Step-by-step explanation:

Pls help !!! I've already failed it twice this is my last try please help there's other questions on my account.​

Answers

It’s the third one

Answer:

Ya it’s the third one/ bottom one/ C.

Step-by-step explanation:

If u want one I will give it but if not then there is the answer

» What is 2 to the power of 0? Submit​

Answers

Answer:

1

Step-by-step explanation:

Answer:

2⁰ power is equal to 1

Step-by-step explanation:

Any number with the exponent of 0 will always equal 1, no matter what the number is. Hope it helps!

WHAT HAPPENED ON THE DAY JUNE 6? PICK ANY YEAR

Answers

Answer:

D-Day in the year 1944.

Step-by-step explanation:

None, this is self explanatory! Check web sources for more ^^

Answer:

1944, that the invasion of Europe began behind the largest landing force the world had ever seen. Aka D-day.

Step-by-step explanation:

Look it up.

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