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4 years ago

PLEASE HELP !!

Mathematics

1 answer:

Soloha48 [4]4 years ago

4 0

Answer:

C. 15

Step-by-step explanation:

Given:

$4x + 2y = 50 \hspace{18mm} (1) \hspace{15mm} x - 3y = 30 \hspace{20mm} (2)$

Dividing Eqn. (1) thorough out by 2, we get $2x + y = 25 \hspace{15mm} (3)$

To solve for $x$ , multiply (3) by 3 and add (2) and (3).

i.e., $6x + 3y - 75 + x - 3y - 30 = 0$

$\implies 7x = 105$

$\implies x = 15$

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Lori works at a

nordsb [41]

Answer:

She worked 10 hours last week.

Step-by-step explanation:

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2 years ago

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An infinite geometric series has 1 and 1/5 as its first two terms: 1, 1/5, 1/25, 1/125, . . . What is the sum, S, of the infinit

dezoksy [38]

Answer: $\dfrac{5}{4}$

Step-by-step explanation:

Given: The first term of Geometric series : a=1

The seconds term of Geometric series : $ar=\dfrac{1}{5}$

The common ratio between the terms is given by :-

$r=\dfrac{ar}{a}=\dfrac{\frac{1}{5}}{1}=\dfrac{1}{5}$

We know that the sum of infinite geometric series is given by :-

$S_{\infty}=\dfrac{a}{1-r}\\\\\Rightarrow\ S_{\infty}=\dfrac{1}{1-\frac{1}{5}}=\dfrac{1}{\frac{4}{5}}\\\\\Rightarrow\ S_{\infty}=\dfrac{5}{4}$

Hence, the sum of the given infinite series = $\dfrac{5}{4}$

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3 years ago

In which quadrant will you find the point (-2,-2)

sineoko [7]

⊱________________________________________________________⊰

Answer:

Quadrant 3

Step-by-step explanation:

Points with both negative co-ordinates are found in the third quadrant.

$\boxed{\begin{tabular}{c | 1} \sf{~~Quadrant 2 (-x,y)~~& Quadrant 1~ (x,y)~~} \\ \\\\\\\\\\\\ \cline{1-2} \sf{Quadrant \ 3 (-x,-y) \ & Quadrant \ 4 (x,-y)} \\\\\\\ \\\\\\\\\\\end{tabular}}$

done !!

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2 years ago

Find an equation of a line passing through the point (8,9) and parallel to the line joining the points (2,7) and (1,5).

TiliK225 [7]

Answer:

2x - y - 7 = 0

Step-by-step explanation:

Since the slope of parallel line are same.

So, we can easily use formula,

y - y₁ = m ( x ₋ x₁)

where, (x₁, y₁) = (8, 9)

and m is a slope of line passing through (x₁, y₁).

and since the slope of parallel lines are same, so here we use slope of parallel line for calculation.

and, Slope = m = $\dfrac{y_{b}-y_{a}}{x_{b}-x_{a}}$

here, (xₐ, yₐ) = (2, 7)

and, $(y_{a},y_{b}) = (1, 5 )$

⇒ m = $\dfrac{5-7}{1-2}$

⇒ m = 2

Putting all values above formula. We get,

y - 9 = 2 ( x ₋ 8)

⇒ y - 9 = 2x - 16

⇒ 2x - y - 7 = 0

which is required equation.

3 0

3 years ago

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A bear loves visiting his friend, the piglet. The distance between their houses is 300m , and the bear always walks from his hou

stira [4]

Answer:

10mins

Step-by-step explanation:

you can draw a rtd chart for this problem

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3 years ago