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3 years ago

Solve the system of equations displayed in the picture.

Mathematics

1 answer:

bagirrra123 [75]3 years ago

7 0

The answer is D) (-1,-12)

Reason:

1) substitute 2x-10 for y in y=4x-8

2) 2x-10=4x-8

3) -2x-10=-8

4) -2x=2

5) x=-1

6) substitute -1 for x in y=2x-10

7) y=(2)(-1)-10

8) y=-12

Answer

x=-1 and y=-12

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Round 0.7414 to the nearest one

jek_recluse [69]

By rounding to the nearest one it means round to the nearest whole number. So basically, the number 0.7414 rounded to the nearest whole number would be 1.

4 0

3 years ago

Read 2 more answers

A cyclist rides her bike at a rate of 15 miles per hour. What is this rate in kilometers per hour? How many kilometers will the

Trava [24]

Answer:

1. 24 km/hour

2. 48 km

Step-by-step explanation:

1 mile = 1.6 km

cyclist = 15 miles/ hour

we want to multiply speed by something that will cancel miles out and leave km. to do this, we want to multiply it by something with miles on the bottom and km on the top.

this is because

miles * km / miles = km as the miles cancel out and km is left in the numerator

thus,

1 mile = 1.6 km

divide both sides by 1.6 km to get 1 on a side

1 mile / 1.6 km = 1

alternatively, divide both sides by 1 mile to get 1 on a side

1.6 km / 1 mile = 1

since we want miles on the bottom, we choose the second option

cyclist = 15 miles / hour = 15 miles/hour * 1 = 15 miles/hour * 1.6km / 1 mile = 24 km /hour

24 km/hr for 2 hours = 24 km/hr * 2 hours = 24 * 2 km = 48 km

3 0

2 years ago

Hannah had 30 dollars to spend on 3 gifts. She spent 8 7 10 dollars on gift A and 4 2 5 dollars on gift B. How much money did sh

Dimas [21]

Answer: $\$16\dfrac{9}{10}$

Step-by-step explanation:

Given

Hannah had 30 dollars

Money spent on gift A

$8\ \dfrac{7}{10}=\dfrac{8\times 10+7}{10}=\dfrac{87}{10}$

money spent on gift B

$4\ \dfrac{2}{5}=\dfrac{22}{5}$

Money spent on gift C

$\Rightarrow \text{Total-Money spent on (A+B)}\\\\\Rightarrow 30-\dfrac{87}{10}-\dfrac{22}{5}=30-\dfrac{87}{10}-\dfrac{44}{10}\\\\\Rightarrow \dfrac{300-87-44}{10}=\dfrac{169}{10}\\\\\Rightarrow \$16\ \dfrac{9}{10}$