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erastovalidia [21]
1 year ago
9

A sweater was on sale at 40% off the regular price. Ella saved 20$ by buying the sweater on sale. What was the regular price of

the sweater?
Mathematics
1 answer:
barxatty [35]1 year ago
8 0

Answer:

the answer is $50 for the full price of the sweater

Step-by-step explanation:

if you know $20 is 40% what is 20% it is $10 and then multiple it by 5 because  20 times 5 is 100 and you get 50

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Determine the input value for which the statement f(x) = g(x) is true. From the graph, the input value is approximately_______ .
Julli [10]

In this question , we have a graph given, and we have to find the x coordinate of the intersection point .

From the graph , the input value is approximately 3.3 .

In the graph,

f(x) =3

And for g(x), we need the slope and y intercept .

Slope is the ratio of rise and run .

Here rise equals 3 units and run equals 2 units. And the graph touch the y axis at -2 .

So the equation of g(x) is

g(x) = \frac{3}{2}x -2

We need to do

f(x)= g(x)

Substituting the values of the two functions, we will get

3 = \frac{3}{2}x -2

Adding 2 to both sides

5 = \frac{3}{2}x

Cross multiplication

10 =3x
\\
x = \frac{10}{3}

x = 3.3

So the input value is 3.3 approx


6 0
1 year ago
Read 2 more answers
The sides of a square are three to the power of two sevenths inches long. What is the area of the square? (
____ [38]

Answer:

Step-by-step explanation:

The side of the square = 3^2/7

Use the law of exponents . If the power is a fraction, that means it is

3^2/7 = 3^2 x 1/7 = 7√9

To find the area you multiply this by itself.

This gives you 1.87...

Hope this helps

8 0
1 year ago
Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.
barxatty [35]

Answer:

x=9,-1  and x^2+(-8)x=9

Explanation:

we have been given with the quadratic equation x^2-8x-9

we compare the given quadratic equation with general quadratic equation

general quadratic is ax^2+bx+c=0

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant D=b^{2}-4ac

D=(-8)^2-4(1)(-9)=100

Now, to find the value of x

Formula is x=\frac{-b\pm\sqrt{D}}{2a}

Now, substituting the values we will get

x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1

And rewritting the given equation by  shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

x^2+bx=c

4 0
2 years ago
Read 2 more answers
Identify whether the series summation of 12 open parentheses 3 over 5 close parentheses to the I minus 1 power from 1 to infinit
Finger [1]
∑ from 1 to infinity of 12(3/5)^(i - 1)
Since the common ratio is less than 1, the series is convegent. [i.e. 3/5 < 1]

Sum to infinity of a geometric series is given by a/(1 - r); where a is the first term, and r is the common ratio.

Sum = 12/(1 - 3/5) = 12/(2/5) = 30.
3 0
1 year ago
The figure below shows the dimensions of a city park in feet. Shannon thinks the area of city park is 73,084 square feet. Do you
Andreyy89

Answer:

We need to solve for the 4th side

4th side base = 75.5 -60.5 = 10 feet

4th side height = 16

4th side LENGTH^2 = 10^2 + 16^2

4th side = sq root (356) = 18.8679622641

Trapezoid Area = [(sum of the bases) / 2 ] * height

Trapezoid Area = [(136)/2] * 16

Trapezoid Area = 1,088 square feet, which is MUCH smaller

than 73,084

Step-by-step explanation:

3 0
1 year ago
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