All categories

3 years ago

Using the graph below, find the point(s) such that the sum of their coordinates is equal to 7.

Mathematics

1 answer:

gregori [183]3 years ago

7 0

Answer:

Only A, B and C are the points whose coordinates are equal to 7.

Step-by-step explanation:

Considering the point A

As the location of point A is (0, 7)

The sum of their coordinates is equal to 0 + 7 = 7

Considering the point B

As the location of point B is (2, 5)

The sum of their coordinates is equal to 2 + 5 = 7

Considering the point C

As the location of point C is (6, 1)

The sum of their coordinates is equal to 6 + 1 = 7

Considering the point D

As the location of point D is (4, -3)

The sum of their coordinates is equal to 4 + ( -3 ) = 1

Considering the point E

As the location of point E is (1, -6)

The sum of their coordinates is equal to 1 + ( -6 ) = -5

Considering the point F

As the location of point F is (-2, -4)

The sum of their coordinates is equal to -2 + ( -4 ) = -2 - 4 = -6

Considering the point G

As the location of point F is (-5, -2)

The sum of their coordinates is equal to -5 + ( -2 ) = -5 - 2 = -7

Considering the point H

As the location of point H is (-4, 3)

The sum of their coordinates is equal to -4 + ( 3 ) = -4 + 3 = -1

From the above discussion, only A, B and C are the points whose coordinates are equal to 7.

You might be interested in

The price of a shirt is marked down from $12.50 to $10,00. What is the percent decrease of the shirt?

choli [55]

Answer: 20%.

Step-by-step explanation:

Given, The price of a shirt is marked down from $12.50 to $10.00.

Previous price = $12.50

New price = $10.00

Change in price = Previous price - New price

= $12.50 - $10.00

= $2.50

Now, the percent decrease of the shirt = $\dfrac{\text{Change in price}}{\text{Prevoius price}}\times100$

$=\dfrac{2.50}{12.50}\times100\\\\=20\%$

Hence, the percent decrease of the shirt = 20%.

7 0

3 years ago

What is the surface area for this design?

Umnica [9.8K]

Answer:

Surface Area = 157 in^2

Step-by-step explanation:

Surface area is the area of each side added together.

Front = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5

2 2

Back = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5 27.5

2 2 27.5

Right = Rectangle = l * w 6.4 * 5 = 32 32

Left = Rectangle = l * w 5 * 5 = 25 25

Bottom = Rectangle = l * w 9 * 5 = 45 45

Top = Rectangle = l * w 5 * 5 = 25 25

157 in^2

8 0

3 years ago

A ream of paper contains 500 sheets of paper. Norm has 373 sheets of paper left from a ream. Express the portion of a ream Norm

Lunna [17]

Answer: In fraction : $\dfrac{373}{500}$

In Decimal : 0.746

Step-by-step explanation:

Given : A ream of paper contains 500 sheets of paper.

Norm has 373 sheets of paper left from a ream.

Then, the fraction of ream Norm has will be :-

$\dfrac{\text{Number of sheets left from ream }}{\text{Total sheets in a ream }}\\\\=\dfrac{373}{500}$

To convert in decimal we divide 373 by 500, we get 0.746.

Hence, The portion of a ream Norm has as = $\dfrac{373}{500}$ or 0.746

3 0

2 years ago

In a random sample of 74 women at a company, the mean salary is $39,902 with a standard deviation of $3270 in a random sample of

ValentinkaMS [17]

The correct answer is the first choice, ($1818.30, $5077.70.)

To find this, we first find the z-score based on the confidence level:
Convert 95% to a decimal: 95%=95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.

Next, we identify
$\overline{x_1}=39902; \overline{x_2}=36454; n_1=74; n_2=40; \sigma_1=3270; \sigma_2=4677$

Next we find
$(\overline{x_1}-\overline{x_2})=(39902-36454) = 3448$

Next we find
$\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}
\\
\\=\sqrt{\frac{3270^2}{74}+\frac{4677^2}{40}}=\sqrt{\frac{10692900}{74}+\frac{21874329}{40}}
\\
\\=831.479$

Next, we multiply this value by z:
1.96(831.479) = 1629.70

The confidence interval is given by
$3448\pm1629.70
\\
\\=(3448-1629.70, 3448+1629.70)
\\
\\=(1818.30, 5077.70)$

5 0

3 years ago

Need help with ratios quick plss

dalvyx [7]

X/3=y this is what I got hopes this helps

3 0

2 years ago