Which statement is true?
Question 16 options:


A)
–|–45| = 45 and –|–96| = –96.


B)
|–45| = –45 and |–96| = –96.


C)
|–45| = 45 and |–96| = 96.


D)
|–45| = 45 and |–96| = –96

9514 1404 393

Answer:

  J$180

Step-by-step explanation:

The ratio of the larger share to the total is ...

  3 : (2 +3) = 3 : 5

Then the larger share is ...

  (3/5)(J$300) = J$180

Answer:

3a-4ab-5

Step-by-step explanation:

(-ab+3a-3) - (3ab+2)

Distribute the minus sign

(-ab+3a-3) - 3ab-2

Combine like terms

3a-4ab-5

Answer:

[tex]-4ab+3a-5[/tex]

Step-by-step explanation:

Hi there!

[tex](-ab+3a-3) - (3ab+2)[/tex]

Open up the parentheses

[tex]-ab+3a-3- 3ab-2[/tex]

Combine like terms

[tex]-ab- 3ab+3a-3-2\\-4ab+3a-5[/tex]

I hope this helps!

Answer:

[tex]area \: of \: a \: rectangle = \: length \times width(or \: breadth) \: (unit ^{2} )[/tex]

Part B: I don't know part B :-)(•‿•)

Answer:

[tex]301.44[/tex]

Step-by-step explanation:

Formula for volume of a cylinder:

[tex]V=\pi r^{2}h[/tex]

[tex]V=(\pi )(4)^{2} (6)[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]V=(3.14)(4)^{2} (6)[/tex]

[tex]V=301.44[/tex]

hope this helps....

Step-by-step explanation:

[tex](301.44ft^2 ) \: Answer ✓✓\\ \\ here \: is \: your \: solution : - \\ \\ we \: need \: to \: find \: volume \: of \: cylinder \: \\ \\ volume \: of \: cylinder \: = \pi \: r {}^{2} h \\ \\ \pi = 3.14 \\ \\ radius \: of \: cylinder \: = 4ft \\ \\ height \: of \: cylinder = 6ft \\ \\ volume \: of \: cylinder \: = 3.14 \times (4 {}^{2} ) \times 6 \\ \\ volume \: of \: cylinder = \: 301.44ft {}^{3} \: [/tex]

Answer:

70 apples

Step-by-step explanation:

We can use a ratio to solve

7 apples        x apples

--------------  = -------------

50 name     500 names

Using cross products

7 * 500 = 50x

Divide by 50

7 * 500/50 = 50x/50

70 =x

Answer:

70 apples he will have eaten after 500 names light writes in the death note.

Step-by-step explanation:

Given : -

To Find :-

Solution :-

Let be x is the no. of aaples will have eaten after light writes 500 names in the death note..

7 apples = 50 names

x apples = 500 names

Using cross multiplication method

7 × 500 = 50 × x

3500 = 50 x

Divide each side by 50

3500 / 50 = 50 x / 50

70 = x

Hence, 70 apples he will have eaten after 500 names light writes in the death note.

Answer:

72°

Step-by-step explanation:

180-3x=2x

5x=180

x=36

Angle CBE = 2(36) = 72

Answer:

18.4

Step-by-step explanation:

0.482 * (61.2)^2 = 1805.30208

1805.30208 ÷ 98.01 = 18.4

Answer:

Expected value is 4,000

Step-by-step explanation:

To find expected value ⇒ multiply the value by it's probability

40% × ( -25,000 ) = - 10,000

Breaking means neither add nor subtract a given amount

20% × 0 = 0

35% × 40,000 = 14,000

∴ Expected value = -10,000 + 14,000 = 4,000

LOSS:                   -10,000

BREAK EVEN:       0

WIN:                       14,000

Expected value is 4,000

hope this helps....

Answer:

b) slope of the given line is m = - 3

Step-by-step explanation:

(x1 , y1 ) = ( 1 ,2 ) , ( x2 , y2 ) = ( 3, - 4 )

Slope m = y2 - y1

x2 - x1

m = - 4 - 2. = - 6 = - 3

3 - 1 2

Answer:

ok so if it cost 2 dollars per guest here what that would look like

1 guest:2$

2 guest:4$

3 guest:6$

4 guest:8$

so she can invite 8 guest

Answer:

4 guest

Step-by-step explanation:

2 dollars for every guest and the budget is $8 so, $2 x 4 guest meets the budget of $8

Answer:

A

Step-by-step explanation:

Set up a ratio for the two triangles that are there.

x/(x + 10) = 20 / (20 + 8)         Combine the two terms in the right denominator

x/(x + 10) = 20/28                   Cross Multiply

28x = 20(x + 10)                      Remove the brackets on the right

28x = 20 x + 200                    Subtract 20x from both sides

8x = 200                                  Divide by 8

x = 200 /8

x = 25

Answer:

420 unique combinations.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

One object from each set:

2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:

2*5*6*7 = 10*42 = 420

420 unique combinations.

Answer:

The independent is the weight of all the people already on the elevator and the dependent variable is the weight of the elevator after you get on.

Answer:

First fill in the blank answer - Dependent. Second fill in the blank - Indepenent

Step-by-step explanation:

So there are two different variables you need to know here:

The indenpenent variable - It is a variable that affects the dependent variable, however it can be changed in a experiment of project by the person.

The dependent variable - It is the variable that is affected by the independent variable, and varies throughout the expeirment.

In this case, the total weight after you get on depends on how heavy everyone else is before you get in the elevator.

This makes sense, because p cannot be changed, but with the addition of 132, effects the outcome, t.

So this means that the total wieght is the dependent variable.

The independent variable, on the other hand, changes to coutcome of how heavy to elevator is.

So this means the weight of the people in the elevator is the independent variable.

Hope this helps!

Answer:

f(x) = (x-4)(x+2)

Step-by-step explanation:

f(x) = x^2 – 2x – 8

What 2 numbers multiply to -8 and add to -2

-4*2 = -8

-4+2 = -2

f(x) = (x-4)(x+2)

[tex]\longrightarrow{\green{ D. \:f(x)\:=\:(x - 4)(x + 2) }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: f(x) = {x}^{2} - 2x - 8[/tex]

[tex] \:f(x) = {x}^{2} - 4x + 2x - 8[/tex]

Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have

[tex] \:f(x) = x \: (x - 4) + 2 \: (x - 4)[/tex]

Taking the factor [tex](x-4)[/tex] as common,

[tex] \:f(x) = (x - 4)(x + 2)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

let ? be x

every linear equation is y=mx+c

so the answer would be y=?+3

Answer:

8 divided by two equals the radius 4

3.14*4^2=50.24

Hope This Helps!!!

Answer:

-3x³ + 44x² - 43x + 10

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}&-3x&2\\x^2&-3x^3&2x^2\\-14x&42x^2&-28x\\5&-15x&10\end{array}\right][/tex]

= -3x³ + 2x² + 42x² - 28x - 15x + 10 = -3x³ + 44x² - 43x + 10

9514 1404 393

Answer:

  w = 8t

Step-by-step explanation:

If we assume that the ounces of water are proportional to the time, then the equation will look like ...

  w = kt

for some constant k.

Solving for k, we find ...

  k = w/t

Using the given values, we find k to be ...

  k = (32 ounces)/(4 seconds) = 8 ounces/second

The units are stated in the definitions of the variables, so we can write the equation as ...

  w = 8t

Answer:

EBC = 90

FBG = 25

ABF = 115

ABG = 140

EBG = 50

Hope that helped :)

Answer:

(7, 0).

Step-by-step explanation:

We have   y =  3(x - 7)

y = 3x - 21

Point-slope form is

y - y1 = 3(x - x1)

y  -  y1 = 3x - 3x1

Comparing this to the equation y = 4x - 21 we see that y1 = 0 and x1 = 7.

Answer:

(7,0)

Step-by-step explanation:

correct on edge

[tex]3.09375[/tex] ✅

Step-by-step explanation:

[tex] \frac{11}{8} \div \frac{4}{9} \\ = \frac{11}{8} \times \frac{9}{4} \\ = \frac{11 \times 9}{8 \times 4} \\ = \frac{99}{32} \\ = 3.09375[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

9514 1404 393

Answer:

  9.58 units

Step-by-step explanation:

The area is given by the formula ...

  A = bh

Solving for height, we get ...

  h = A/b

Filling in the given values, we find the height to be ...

  h = (115 u²)/(12 u) ≈ 9.58333... u

The height is about 9.58 units.

Answer:

-

x -4. 1 6 11

y -3 -2 -1 0

-7 -7 +5 11

Answer:

500

Step-by-step explanation:

Answer:

5000 students appeared in the examination.

Step-by-step explanation:

We solve this question using Venn probabilities.

I am going to say that:

Event A: Passed in Mathematics

Event B: Passed in English.

5% failed in both subjects

This means that 100 - 5 = 95% pass in at least one, which means that [tex]P(A \cup B) = 0.95[/tex]

80% passed in mathematics 75% passed in english

This means that [tex]P(A) = 0.8, P(B) = 0.75[/tex]

Proportion who passed in both:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

Considering the values we have for this problem

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.8 + 0.75 - 0.95 = 0.6[/tex]

3000 of them were passed both subjects how many students appeared in the examination?

3000 is 60% of the total t. So

[tex]0.6t = 3000[/tex]

[tex]t = \frac{3000}{0.6}[/tex]

[tex]t = 5000[/tex]

5000 students appeared in the examination.

Answer:

x=3

Step-by-step explanation:

Since they are similar triangles, we can use ratios to solve

x           3.5

----- = -------

6           7

Using cross products

7x = 21

Divide each side by 7

7x/7 = 21/7

x = 3

Answer:

[tex] y = \frac{4}{3}x - 2 [/tex]

Step-by-step explanation:

Given:

Slope (m) = ⁴/3

Point on the line = (x, y) = (3, 2)

Required:

Write the equation in slope-intercept form which is y = mx + b

Solution:

Since we know the slope(m), we need to find the y-intercept (b).

This, substitute (x, y) = (3, 2) and m = ⁴/3 into y = mx + b, and solve for b. Thus:

2 = ⁴/3(3) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

To write the equation, substitute m = ⁴/3 and b = -2 into y = mx + b

[tex] y = \frac{4}{3}x - 2 [/tex]

Answer:

150cm

Step-by-step explanation:

depth is 5 cm, so the area of one of the faces is 25 cm. theres 6 faces so 25*6= 150

Answer:

It forms a cylinder.

Hope this helped.

Answer:

2, 367

Step-by-step explanation:

142,020 / 5 = 28, 404

28, 404 / 12 = 2, 367