4. Elie took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each. How much did she have left at the end of the trip?​

Answers

Answer 1

Answer:

$16

Step-by-step explanation:

32×5=160

6×4=24

160+24=184

200-184=16

Answer 2

Elie was left with $16 at the end of the trip

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Elie who took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each.

Assume that she is left with $[x]. Then, we can write the equation as -

x = 200 - {(32 x 5) + (6 x 4)}

x = 200 - {160 + 24}

x = 200 - 184

x = 16

Therefore, Elie was left with $16 at the end of the trip.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Related Questions

Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer:

third side = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = (2[tex]\sqrt{13}[/tex] )²

x² + 16 = 52 ( subtract 16 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

How do you solve , (x+3)2 ?

Answers

Answer:

Distributive property of multiplication.

Step-by-step explanation:

2(x+3)

Multiply 2 times x, and 2 times 3 so that you get:

2x+6

Answer:

(x+3)2= 2 × x 2 × 3= 2x + 6

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

what is 18,678,789 times 67,897,867

Answers

The answer is 1.2682499e+15

The length of a rectangle is three times its width.
The perimeter of the rectangle is 24 cm.
Calculate the area of the rectangle.

Answers

Answer:

A = 27 cm²

Step-by-step explanation:

let 'w' = width

let '3w' = length

P = 2l + 2w

24 = 2(3w) + 2w

24 = 6w + 2w

24 = 8w

w = 3

l = 3(3) or 0

A = lw

A = 3(9)

A = 27

Anyone got any ideas?

Answers

Answer: 36

Step-by-step explanation:

AB = 16 cm

BC = CA = 10 cm

so it's 16 + 10 + 10 = 36

36 is ur answer sorry if wrong

Jake sold 39 tickets to the school fair and jeanna sold 12 tickets. What is the ratio in simplest form of the number of tickets jeanna sold to the number of tickets jake sold?

Answers

Step-by-step explanation:

12 to 39 divide each by 3

4 to 13 is the simpliest ratio

3923 divided by 26 pls help

Answers

Answer:

150.884615385

Step-by-step explanation:

3923÷26=150.8846153846153

Write equations for the horizontal and vertical lines passing through the point (1,7) .

Answers

Answer:

horizontal line: y = 7

vertical line: x = 1

Step-by-step explanation:

The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the triangle​

Answers

The right triangle is assumed to be inscribed in the rectangle, such that

hypotenuse is the diagonal of the rectangle.

The length of the hypotenuse of the triangle is 26 cm.

Reasons:

Let x and y represent the length of the sides of the rectangle

Whereby the base and height of the right triangle are the same as the

length and width of the rectangle, we have;

Perimeter of the rectangle = 2·x + 2·y = 68

Therefore;

[tex]\displaystyle x + y = \frac{68}{2} = 34[/tex]

x + y = 34

The base of the right triangle = x

The height of the right triangle = y

By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)

Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60

Which gives;

√(x² + y²) = 60 - (x + y) = 60 - 34 = 26

The length of the hypotenuse side, √(x² + y²) = 26 cm

Learn more about Pythagoras's theorem here:

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It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?

Answers

Answer:

3/1 tsp. or 3 tsp.

Step-by-step explanation:

3/4 times 4

[ASAP] Which graph represents a direct variation?

Answers

D because when x increases, y increases

What’s 568 divided by 7

Answers

81.14


568 divided by 7 = 81.14

What is the equation of the line shown in the graph?

Answers

Answer:

slope-intercept form. y = _ + _  阿ㄐ高

Step-by-step explanation:

a^4 divided by a^-2
please help

Answers

Answer:

hope this helps

Step-by-step explanation:

[tex]a^{6\\}[/tex]

to do this you factor the numerator and denominator and then you cancel the common factors

Please help! 20 Points! Will give brainliest if correct!

Answers

Answer:

first one

Step-by-step explanation:

lemme know if im right

Answer:

first one I think is right

Which of the following lists is in order from smallest to largest?

Answers

The answer is

1.1%, 0.1, 1/9, 2/11

Step-by-step explanation:

convert the fractions to decimals, the percentage to decimal.

then just order the numbers from smallest to biggest

1/9= 0.11

2/11=0.18

1.1%/100= 0.011

I NEED THE ANSSWER ASAP!!

Which situation would best be represented by positive 32?​

Answers

D. Spending, dropping, and decreasing all signal subtraction. D is the only reasonable answer

What is an equation of the line that passes through the point (−8,−1) and is parallel to the line x-4y=4x

Answers

Answer:

y = -3/4x - 7

Step-by-step explanation:

Parallel lines have the same slope.

Solve for y in the equation to find the slope.

x - 4y = 4x

  -4y = -x + 4x

  -4y = 3x

     y = 3/-4 x   = -3/4x    So the slope is -3/4  which is the coefficient of the

                                       x term

Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"

y = mx + b

-1 = -3/4(-8) + b

-1 = 6 + b

-1 - 6 = b

-7 = b

The equation of the new line:  y = mx + b

                                                  y = -3/4x - 7

The picture shows the $4.88 Josephine spent on a package of 4 pens.

Drag the money below to the box to show how much each pen cost.

Answers

Answer:

4 dollars 8 dimes 8 pennies

Step-by-step explanation:

Answer:

Each pen costs $1.22, which means that you would have to drag a $1 bill, 2 dimes, and 2 Penny's into the box.

Convert 8 yards into meters. Round your answer to the nearest tenth.

Answers

Answer:

7.3 meters

Step-by-step explanation:

use the formula:

meters= yards x 0.9144.

8 yards x 0.9144 = 7.3152 meters

which rounded to the nearest tenth is 7.3152

Answer:

7.3

Step-by-step explanation:

→ First find how many yards in one meter

1 yard = 0.9144 meters

→ Multiply 0.9144 by 8

0.9144 × 8 = 7.3152

Kerry scored a total of 205 points last season by making
a total of 120 baskets. Some of the baskets were 1-point
free throws (t), and the rest were 2-point field goals (g).
Which pair of equations models this situation?
A.) t+2g=205
t+g=120
B.)t+g=205
t+2g=120
C.)t+g=205
t+g=120
D.)t+2g=205
t+2g=120

Answers

Answer:

a

Step-by-step explanation:

Answer:

A.) t+2g=205

t+g=120

Step-by-step explanation:

We know that Kerry scored 205 points by making 120 basket.

t+g=120 { Because some of the basket were 1-point free

t+2g= 205 ( Throws (t) and the rest were 2-point field goals (g)

There are 4 red marbles, 2 white marbles, and 2 black marbles in a bag. Consider the following compound events. What is the probability that marina will pick two red marbles if she returns the first marble to the bag

Answers

Answer:

8

Step-by-step explanation:

eight more anakd;odslakhas sfjjjsjas

HELPP HURRYYYY !!
have to be turned in soon

Answers

Answer:

Last option: Angles 5 and 9

Step-by-step explanation:

Angles 3 and 5 are NOT corresponding angles; instead they are alternate angles.

Angles 1 and 7 are NOT corresponding angles; instead they are vertically opposite angles.

Angles 11 and 14 are NOT corresponding angles; instead they are adjacent angles on a straight line.

Angles 5 and 9 are corresponding angles.

19 is 5 times a number - 2
I really need the equation

Answers

Step-by-step explanation:

19=5x-2 19+2=5x 21=5x 21÷5=x x=4.2

A line has a slope of 5 and passes through the point (-1,2).


Write the equation in point-slope form.


Write the equation in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

slope=m= 5

points=(-1,2)

By point-slope form:

[tex]y[/tex]-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])

Substitute the values in formula:

y-2=5(x+1)        (It is the point slope form)

Now,

Slope intercept form:

y-2=5x+5

y=5x+5+2

y=5x+7

If you need to ask any questions, please let me know.


2.8,

2
1
4
, and

2.45 in order from least to greatest

Answers

Answer: -2.8, -2.45, -2, 1, and 4.

Step-by-step explanation:

Larger negatives go first so -2.8 is the largest and you continue using that method until 1 where the smaller number go first. Positives.

slope and y intercept for 2y-8=6x

Answers

Answer:

slope = 3

y intercept = 4

Step-by-step explanation:

Rearrange the equation so y is the subject.

1. Add 8 to both sides

2y = 6x + 8

2. Divide both sides by 2

y = 3x + 4

Voilà, you got your answer in the line format, y = mx + c, where m is the slope and c is the y intercept.

Will give brainliest if right

Answers

Answer:

y=-5x-12

y=-0.5x-5

y=-0.5x+0.5

y=-4.5x+3

y=-2x+7

y=2.5x+10

Step-by-step explanation:

An open box with a volume of 128 cm3 can be made
by cutting a square of the same size from each corner
of a square piece of metal 12 cm on a side and folding
up the edges. What is the length of a side of the square
that is cut from each corner?

Answers

Answer:

sorry hindi amo marunong ng math

The length of the side of the square that is cut from each corner will be 2 cm or 8 cm.

What is volume?

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the cuboid = length × height × width.

The volume of the cube = side³.

Suppose the length of the metal square piece is L = 12 cm and the width of the cut is h as shown below,

Volume of the box = (L - 2h)² × h

(12 - 2h)² × h = 128

4h(6 - h)² = 128

h(36 + h² - 12h) = 32

h³ - 12h² + 36h - 32 = 0

(h - 2)(h² - 10h + 16) = 0

(h - 2)(h² - 8h - 2h + 16) = 0

(h - 2)(h(h - 8) - 2(h - 8)) = 0

(h - 2)(h - 2)(h - 8) = 0

h = 2,8

Hence "The length of the side of the square that is cut from each corner will be 2 cm or 8 cm".

To learn more about volume,

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f – 4 ≤ 9 for f. solve for the

Answers

Answer:

f>36

Step-by-step explanation:

9

<

f

4

Multiply both sides by

4

.

9

4

<

f

4

4

Simplify.

Tap for more steps...

36

<

f

Rewrite so

f

is on the left side of the inequality.

f

>

36

The result can be shown in multiple forms.

Inequality Form:

f

>

36

Interval Notation:

(

36

,

)

Answer:

f={∞,13)

Step-by-step explanation:

f - 4 ≤ 9

f - 4-9  ≤ 0

f-13 ≤0

f=13

13- 4 ≤ 9

9 ≤ 9  

(f>13) f-4 ≤9

   Find a number less than 13

f=12

12-4 ≤9

8≤9 √  

(f<13) f-4 ≤9

   Find a number greater than 13

14

14-4 ≤9

10 ≤9 ×
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