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3 years ago

HELP NOW!! PLEASE!! I NEED HELP!!!!

Mathematics

2 answers:

timama [110]3 years ago

7 0

Answer:

-2

Step-by-step explanation:

14/7 = 2

So,

-14/7 = -2

Check:

-2 x 7 = -14

Rina8888 [55]3 years ago

6 0

Answer:

-2

Step-by-step explanation:

because 7 can go into 14 2 times and since the 14 is negative the answer is negative

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The radius of a semicircle is 4 kilometers. What is the semicircle's diameter? I need this please

sergeinik [125]

Answer:

diameter = 8 km

Step-by-step explanation:

the diameter is equal to 2 times the radius

diameter = 2r

diameter = 2 • (4 km)

diameter = 8 km

7 0

2 years ago

Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes th

ELEN [110]

Answer:

Sarah is 13 years old

Step-by-step explanation:

Represent Sarah's age with S

Her first brother's age with F

Her second brother's age with B

So, we have:

From the first statement, we have:

$S - F = 5$ ---- (1)

From the second, we have:

$S - B = 8$ ---- (2)

The product of their ages is 40.

First, we make F the subject in (1) and B the subject in (2)

$F = S - 5$

$B = S - 8$

Their product is represented as follows:

$F * B = 40$

Substitute values for F and B

$(S - 5) * (S - 8)=40$

Open bracket

$S^2 - 5S -8S + 40 = 40$

$S^2 - 13S + 40 = 40$

Subtract 40 from both sides

$S^2 - 13S = 0$

Factorize:

$S(S - 13) = 0$

Split:

$S = 0$ or $S - 13 = 0$

But Sarah's age can't be 0 because she has two younger brothers.

So, we stick to

$S - 13 = 0$

Make S the subject

$S = 13$

<em>Hence, Sarah is 13 years old</em>

3 0

3 years ago

Graph a line that is parallel to the given line. Determine the slope ofthe given line and the one you graphed in simplest form.

Daniel [21]

original slope = -4/3

parallel slope = -4/3

Explanation:

For a line to be parallel to anpother line, the slope of both lines must be equal.

We need to find the slope of the given line by picking any two points on the line.

Using points (-6, 5) and (0, -3)

slope formula:

$m\text{ = }\frac{y_2-y_1}{x_2-x_1}$ $\begin{gathered} x_1=-6,y_1=5,x_2=0,y_2\text{ = -}3 \\ \text{slope = m= }\frac{-3-5}{0-(-6)}=\frac{-8}{0+6} \\ m\text{ = -8/6} \\ m\text{ = -4/3} \end{gathered}$

The equation of the given line: y = mx + b

b = y-intercept = -3

y = -4/3x - 3

The equation line parallel to the one above could be:

y = -4/3 x + 7

This because the slope are the same

original slope = -4/3

parallel slope = -4/3

plotting the graph of the lline parallel to the first one:

3 0

1 year ago

a state employees pension fund invested a total of one million dollars into two accounts that earned 3.5 and 4.5 annual simple i

erik [133]

Let the investment in first account be x and this account is earning 3.5% interest

So Interest on this account is 3.5% of x = 0.035x

So the investment in second account would be (1,000,000-x) and this account is earning 4.5% interest

So the interest on this account is 4.5% of (1,000,000-x) = 0.045*(1,000,000-x)

Given that total interest for the year is $42,000

So we have

0.035x + 0.045(1,000,000-x) = 42,000

0.035x - 0.045x + 0.045*1,000,000 = 42,000

-0.01x + 45,000 = 42,000

-0.01x = 42,000-45,000

-0.01x = - 3000

0.01x = 3000

x = 3000/0.01

x= 3,00,000

Therefore Investment in one account s 300,000 and the investment in other account is 1,000,000-300,000 = 700,000

4 0

3 years ago

We created this inequality to represent how Amy can meet her revenue goals:

brilliants [131]

Answer:

x = 2

Price = $29

Step-by-step explanation:

If x is the number of $2 dollars increases, then the minimum number of increases required to meet her goal is:

$-100x^2 + 15,750x + 212,500 \geq 243,600\\-100x^2 + 15,750x -31,100\geq 0\\x^2 -157.5x + 311\geq 0\\x=\frac{157.5\pm\sqrt{157.5^2-(4*1*311)} }{2}\\ x_1= 2\\x_2=155.5$

The only realistic value is x = 2 $2 increases

If the original price was $25, then the new rice required to reach Amy's goal is:

$P=25+2*2\\P=\$29$

The minimum ticket price is $29.

7 0

3 years ago

Read 2 more answers