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marshall27 [118]
3 years ago
10

James, Kendra, Nick, and Natasha spent $56.00 to buy a present for their Aunt Jane.

Mathematics
1 answer:
Olenka [21]3 years ago
3 0

Answer:

Each person contributed $14.00

Step-by-step explanation:

$56.00 total

James, Kendra, Nick, Natasha = 4 people

56 ÷ 4 = $14

To check:

$14 × 4 people = $56 total

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In a system of linear equations in two​ variables, if the graphs of the equations are the​ same, the equations are (blank) equat
makkiz [27]

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.

All points of dependent equations share the same slope and same y-intercept.

For example,

6x-2y = 18

9x-3y=27

represent the dependent equations.

Writing both equations in slope-intercept form

y=mx+c

where m is the slope and c is the y-intercept

Now

6x-2y=18

2y = 6x-18

Divide both sides by 2

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

now

9x-3y=27

3y = 9x-27

Divide both sides by 3

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.

5 0
3 years ago
A person standing 20 feet from a street light casts a 10 foot shadow. How many times taller is the streetlight than the person?
Illusion [34]
Check the picture below.

they're at a 3:1 ratio, thus, 3 times.

7 0
4 years ago
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Vitek1552 [10]
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8 0
3 years ago
Match each fraction with its equivalent decimal number. 2/5, 7/20, 3/25, 7/10
nata0808 [166]

2/5- .4

7/20- .35

3/25-  .12

7/10- .7

5 0
3 years ago
16. A can in the shape of a cylinder has a diameter of 6 centimeters
sladkih [1.3K]

Answer:

surface area = 245.04 cm² (nearest tenth)

Step-by-step explanation:

Surface area of a closed cylinder = 2\pi r^2+2\pi rh

Given:

  • diameter = 6 cm ⇒ radius = 3 cm
  • height = 10 cm

⇒ surface area = 2 × \pi × 3² + 2 × \pi × 3 × 10

                          = 78\pi

                          = 245.04 cm² (nearest tenth)

8 0
2 years ago
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