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ddd [48]
2 years ago
5

5x + 5y = -5 when y = 1 solve for x in 10 points .

Mathematics
1 answer:
san4es73 [151]2 years ago
4 0

Step-by-step explanation:

5x + 5y = -5 , when y = 1

5x + 5.1 = -5

5x + 5 = -5

5x = -5 - 5

5x = -10

x = -10/5

x = -2

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zlopas [31]

Answer:

(2,7)

Step-by-step explanation:

You read it from the point were they intersect

6 0
3 years ago
This graph shows the rate of a scuba diver's ascent to the surface. What does the y-intercept of the graph represent?
Strike441 [17]

Answer:

D. The scuba diver was 35 meters below the surface of water at the start of the ascent.

Step-by-step explanation:

The y-intercept of the graph representing the scuba's driver ascent to the surface is -35.

This represents the starting level below the surface of the water.

✅-35, means that the driver was 35 meters below the surface of water at the start of the scuba's ascent to the surface.

7 0
3 years ago
phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year
Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0
3 years ago
Quadrilateral ABCD is a trapezoid with an area of 20 cm^2 Find the height of the trapezoid, h. Round the answer to the nearest t
sergij07 [2.7K]
Area of <span>trapezoid=(7+3)*h/2=20 cm2
10*h/2=20
5h=20
h=4 

the answer is 4.0 cm</span>
5 0
3 years ago
In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax
Nikolay [14]

Answer:

a

 

   The  null hypothesis is  H_o  :  p =  0.75

  The  alternative  hypothesis is  H_a  :  p \ne  0.75

b

   t = 2.51

c

   p-value  =  0.01207

d

 There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

Step-by-step explanation:

From the question we are told that

    The  sample  size is  n  =  745

     The  number that said it is morally wrong is  k  =  589

       The  level of significance is  \alpha =  0.01

        The population proportion is p  =  0.75

Generally the sample  proportion is mathematically represented as

        \r p  =  \frac{k}{n}

=>     \r p  =  \frac{589}{745}

=>     \r p  =  0.79

 The  null hypothesis is  H_o  :  p =  0.75

  The  alternative  hypothesis is  H_a  :  p \ne  0.75

The  standard error is mathematically represented as

     SE =  \sqrt{\frac{p(1-p)}{n} }

=>    SE =  \sqrt{\frac{0.75(1-0.75)}{745} }

=>    SE  =0.0159

Generally the test statistics is mathematically represented as

      t =  \frac{\r p - p }{SE}

=>   t =  \frac{0.79 - 0.75 }{0.0159}

=>    t = 2.51

Generally the p-value is  mathematically represented as

        p-value  =  2 * P(Z >  2.51)

From the the z-table  

            P(Z >  2.51) = 0.0060366

=>   p-value  =  2 * 0.0060366

=>   p-value  =  0.01207

From the calculation  p-value >\alpha

    Hence we fail to reject the null hypothesis

Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

     

7 0
3 years ago
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