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3 years ago

Gavin went on 25 runs last month that totaled 103 miles. Each run was a distance of either 3 miles or 5 miles. Which system of

Mathematics

1 answer:

Aleksandr [31]3 years ago

3 0

Answer:

3x+5y=105

x+y=25

Step-by-step explanation:

x is the number of 3 mile runs so the total distance travelled is 3x miles. y is the number of 5 mile runs so the total distance travelled is 5y miles. Together Gavin travelled 103 miles so 3x+5y=105.

The number of 3 mile and 5 mile runs he did in total were 25 so x+y=25.

So the answer is:

3x+5y=105

x+y=25

Done.

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gregori [183]

Answer:

c=√74

Step-by-step explanation:

h=c

p=5

b=7

Using pythogorean theorem,

h^2=p^2+b^2

c=√(7^2+5^2)

c=√(49+25)

c=√74

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2 years ago

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A seller buys an item from a manufacturer for $9,500. He increases the cost by 5 percent. What is the markup value?

Lynna [10]

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2 years ago

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An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that

Sphinxa [80]

Answer:

71° and 71°.

⠀

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

⠀

So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

⠀

We know that,

The sum of all angles of a triangle is 180°

⠀

So, According to the question :

⠀

${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + 2x = 180{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { 2x = 180{}^{ \circ} - { 38 \: }^{ \circ}}}}$

⠀

${\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}$

⠀

${\longrightarrow \it\qquad { \pmb { x = 71^{ \circ} }}}$

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Therefore,

The measure of the two other angles of the isosceles triangle are 71° and 71°.

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1 year ago

If y varies directly with x and y=100 when x=5, what is the value of k?

horrorfan [7]

When it says varies directly, it means that y and x are going to be on opposite sides of the equals sign and that there is a constant, k,

y=kx

Plug in (5,100)

100=k(5)

K=20

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2 years ago

-9x-17=39 solve the equation for x

pshichka [43]

Answer:

x = - 56/9 or -6.2

Step-by-step explanation:

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1 year ago