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2 years ago

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I have a negative balance of $153 in my saving account. Every week, I save $17 and deposit it into my saving account. How many w

eeks will it take for me to save at least $0. a) Write an inequality to represent the situation. b) Solve the inequality

1 answer:

Komok [63]2 years ago

8 0

Answer: 17x=153

It would take 9 weeks to reach a balance of 0.

Step-by-step explanation:

So what you would do, you would do as follows; you have a situation where is says "every week'' so you would put 17x=153. So to solve that, you would divide 153 by 17, and that's how you would get your answer of 9.

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If a runner was traveling with a velocity of 4 m/s north and had a displacement of 2500 m, how long was he running?

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Answer:

625

Step-by-step explanation:

t= d/s

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2 years ago

Which line represents the linear equation

zzz [600]

Answer:

Pat a) The graph in the attached figure

Part b) $y=(4/3)x-5$

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The y-coordinate of the y-intercept is $b=-5$

Step-by-step explanation:

Part a) Which line represents the linear equation $-3y=15-4x$ ?

To graph the linear equation find the intercepts

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

$-3y=15-4(0)$

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The y-intercept is the point $(0,-5)$

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

$-3(0)=15-4x$

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The x-intercept is the point $(3.75,0)$

Plot the intercepts to graph the linear equation

see the attached figure

Part b) Rewritten in slope-intercept form

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$-3y=15-4x$

convert to slope intercept form

isolate the variable y

$3y=4x-15$

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The slope is $m=(4/3)$

The y-coordinate of the y-intercept is $b=-5$

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2 years ago

Read 2 more answers

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$\text {Raisin left = } \dfrac{3}{4} - \dfrac{1}{12} =\dfrac{9}{12} - \dfrac{1}{12} = \dfrac{8}{12} -= \dfrac{2}{3}$

Answer: She has 2/3 of the package left.

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2 years ago

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AnnyKZ [126]

The total cost of producing 6 widgets is $24 if the company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.

<h3>What is a quadratic equation?</h3>

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

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Let's suppose the quadratic function is:

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Plug c(x) = $18

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18 = 16a + 4b + c ...(2)

Plug c(x) = $48

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48 = 100a + 10b + c ...(3)

After solving equations (1), (2), and (3) by substitution method:

a = 0.5

b = -2

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Plug x = 6 widgets:

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Thus, the total cost of producing 6 widgets is $24 if the company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.

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Answer:

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