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2 years ago

Pleaseee help me on this question

Mathematics

2 answers:

frez [133]2 years ago

5 0

Answer:

Step-by-step explanation:

For every 1 liter of water, 0.07 kilograms of salt must be added. They are asking for 0.5 liters of water, which is half of 1 liter. So therefore, they need half of 0.07 kilograms of salt, which is 0.035 kilograms

SVETLANKA909090 [29]2 years ago

4 0

Answer:

0.035 kg.

Step-by-step explanation:

0.5 liter is 1/2 liter

0.07kilograms / 2 = 0.035kg

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It’s 7 their the same size as the other side of it

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2 years ago

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What is the y intercept of a graph containing the two points (3,1) and (7,-2)?

olasank [31]

The y intercept of a graph containing the two points (3,1) and (7,-2) is $\frac{13}{4}$

Solution:

Given points are (3, 1) and (7, -2)

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Let us first find the slope of line

The slope of line is given as:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here the points are (3, 1) and (7, -2)

$(x_1, y_1) = (3, 1)\\\\(x_2, y_2) = (7, -2)$

Substituting in formula, we get

$m = \frac{-2-1}{7-3}\\\\m = \frac{-3}{4}$

To find the y intercept:

$\text{Substitute } m = \frac{-3}{4} \text{ and } (x, y) = (3, 1) \text{ in eqn 1 }$

$1 = \frac{-3}{4} \times 3 + c\\\\1 = \frac{-9}{4} + c\\\\ \text{Simplify the above equation } \\\\1 = \frac{-9+4c}{4}\\\\4 = -9 + 4c\\\\13 = 4c\\\\\text{Divide both sides by 4 }\\\\c = \frac{13}{4}$

Thus y -intercept is $\frac{13}{4}$

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3 years ago

Stacie is choosing between two careers. Working for company A, Stacie will make $45,000 the first year and will receive an addit

fomenos

The expression in company B represents that is is in arithmetic progression where first term is 42000 and common difference is 1800 . So we have to use the formula of sum of n terms which is

$S=\frac{n}{2}(2a +(n-1)d)$

Where a is the first term, n is the nth term, d is the common difference

On substituting there values,we will get

$S =\frac{30}{2}(2*42000+(30-1)1800)$

= 15(84000+52200) = 15*136200 =2043000

And for company A, it is

$S= \frac{30}{2}(2*45000+(30-1)1500 ) = 15(90000+43500)=2002500$

Difference between them =2043000-2002500= 40500

So the correct option is the second option .

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3 years ago

1. Write an equation in slope-intercept form for a line passing through (-3,3) with a slope of 1.

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$\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-2}{1-(-4)}\implies \cfrac{10}{1+4}\implies \cfrac{10}{5}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=2[x-(-4)]\implies y-2=2(x+4) \\\\\\ y-2=2x+8\implies y=2x+10$

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3 years ago