Ask question

Ask question

All categories

3 years ago

8

nathan had $25 to spend the carnival. he spent 60% of the money on food and drinks. how much money does nathan have left to spen

d on games.

1 answer:

Rom4ik [11]3 years ago

3 0

Answer:

$15

Step-by-step explanation:

Equation: x/25 = 60/100

Cross Multiply: 25(60) = 100x

Simplify: 1500 = 100x

Divide: 1500/100 = 15

Answer: x = 15

You might be interested in

Find the inverse of f(x)=x/4-7

kirill [66]

Answer:

$fx^{-1} (x)=4x+28$

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

3 years ago

A sweater is on sale for 20%

bagirrra123 [75]

$72 To find out how much the sweater is without 20% off, you need to do this formula:

$60 x 20%

The answer is $12.

So, 20% of $60 is $12.

Now, you need to add 60 and 12 together to get the original sale price.

60 + 12

The answer is 72.

So the original price for the sweater is <span>72 dollars.</span>

8 0

3 years ago

In the figure shown, line AB is parallel to line CD. Part A: What is the measure of angle x? Show your work. (5 points)

gtnhenbr [62]

a) ∠PQR=65° (alternate interior angles theorem)

∠PRQ = 60° (linear pair)

x = 55° (angles in a triangle add to 180°)

b) ∠APQ and ∠PQR are congruent alternate interior angles.

4 0

2 years ago

What is the area , in square meters of the shaded part of the rectangle below

Licemer1 [7]

Answer:

123.5 m^2

Step-by-step explanation:

The area of the whole rectangle is 9 x 19 = 171 m^2

The area of the region that isn't shaded is (5 x 19)/2 = 47.5 m^2 because the height of the triangle is 5 (9 - 4) and the area of a triangle is

(height x length)/2

171 - 47.5 = 123.5 m^2

4 0

3 years ago