4. Using the diagram below, which equation can be used to find the length 2 points
of AB?
B
42
A
10

tan 42 = 10/AB
tan 42 = AB/10
cos 42 = AB/10
cos 42 = 10/AB

1.  4 x 31 is 124

2. 7 x 49 is 658

3. 16 x 48 is 608

4. 8(5 + w) is   8w + 40

5. 11(9 + d) is   11d + 99

6. 15(p + 4 + 2) is   15p + 90

7. Let's simplify step-by-step.

2x−4+3x

=2x+−4+3x

Combine Like Terms:

=2x+−4+3x

=(2x+3x)+(−4)

=5x+−4.

8. Let's simplify step-by-step.

4y−1−3y−2

=4y+−1+−3y+−2

Combine Like Terms:

=4y+−1+−3y+−2

=(4y+−3y)+(−1+−2)

=y+−3.

9. Let's simplify step-by-step.

x+2(x−4)

Distribute:

=x+(2)(x)+(2)(−4)

=x+2x+−8

Combine Like Terms:

=x+2x+−8

=(x+2x)+(−8)

=3x+−8.

10. Part A)

The jazz band sells 31 large boxes of fruit and 74 small boxes of fruit.

For each large fruit box, the price is $20 and cost is $x.

Profit is defined as Price - Cost.

So, profit for one large fruit box = 20 - x

Profit for 31 large fruit boxes = 31(20 - x)

Price of each small fruit box is $10 and cost of each small fruit box is $y. The profit for each small fruit box is 10 - y.

Profit for 74 small fruit boxes = 74(10 - y)

The total profit for 31 large boxes and 74 small boxes will be:

Total profit = 31 (20 - x ) + 74(10 - y)

Using distributive property, we can simplify the above equation as:

Total profit = 31(20) - 31x +74(10) - 74y

Total profit = 1360 - 31x - 74y

Part B)

Cost of each large box is given to be $9. This means x = 9

Cost of each small box is given to be $4. This means y = 4

Using the values of x and y in the profit equation we can find the profit of the Jazz Band.

So, Jazz Band's Profit = 1360 - 31(9) - 74(4)

Jazz Band's Profit = $ 785

Thus the profit of Jazz Band will be $785.

Have A good day!! Hope I helped!!! ^-^

Answer:

read explanation

Step-by-step explanation:

this is a quadratic equation

first, move the 7x over to the other side so that we have 0 on one side

x^2+7x+12=0

now, we can factor

turn 7x into 3x and 4x, so x^2+3x+4x+12=0

you can turn x^2+3x into x(x+3) and 4x+12 into 4(x+3)

so, our new equation is x(x+3)+4(x+3)=0

that can be turned into (x+4)(x+3)=0 via the distributive property

so, either x+4 or x+3 has to be equal to 0

so, x is either -4 or -3

hope this helped

Answer:

The recommended number of flowers is 32

Step-by-step explanation:

Given

The attached graph

Required

The number of flowers when area = 15

First, calculate the slope (m)

Considering

[tex](x_1,y1) = (12,60)[/tex]

[tex](x_2,y_2) = (15,20)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{20-16}{15-12}[/tex]

[tex]m = \frac{4}{3}[/tex]

Considering:

[tex](x_1,y_1) = (15,20)[/tex]

[tex](x_2,y_2) = (24,y)[/tex]

The slope is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{y - 20}{24 - 15}[/tex]

[tex]m = \frac{y - 20}{9}[/tex]

Recall that: [tex]m = \frac{4}{3}[/tex]

So:

[tex]\frac{4}{3} = \frac{y - 20}{9}[/tex]

Multiply through by 9

[tex]3*4 = y - 20[/tex]

[tex]y = 20 + 3 * 4[/tex]

[tex]y = 32[/tex]

Answer:

11 quarters- 2.75

22 nickels- 1.10

Answer:

286 cm

Step-by-step explanation:

Answer:

286 centimeters³

Step-by-step explanation:

identify variable:   L=11    W=2      H=13

use volume of a rectangular prism formula:   V=LWH

substitute variables into formula:         V=(11)(2)(3)

V=286 cm³

Answer:

The answer to this question is 4

Step-by-step explanation:

Answer:

its the first option

Step-by-step explanation:

Answer:

a67y.....................

Answer:

3.5 would be the answer

Step-by-step explanation:

Answer:

For probabilities with replacement

[tex]P(2\ Red) = \frac{25}{64}[/tex]

[tex]P(2\ Black) = \frac{9}{64}[/tex]

[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{32}[/tex]

[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{64}[/tex]

For probabilities without replacement

[tex]P(2\ Red) = \frac{5}{14}[/tex]

[tex]P(2\ Black) = \frac{3}{28}[/tex]

[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{28}[/tex]

[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{56}[/tex]

Step-by-step explanation:

Given

[tex]Marbles = 8[/tex]

[tex]Red = 5[/tex]

[tex]Black = 3[/tex]

For probabilities with replacement

(a) P(2 Red)

This is calculated as:

[tex]P(2\ Red) = P(Red)\ and\ P(Red)[/tex]

[tex]P(2\ Red) = P(Red)\ *\ P(Red)[/tex]

So, we have:

[tex]P(2\ Red) = \frac{n(Red)}{Total} \ *\ \frac{n(Red)}{Total}\\[/tex]

[tex]P(2\ Red) = \frac{5}{8} * \frac{5}{8}[/tex]

[tex]P(2\ Red) = \frac{25}{64}[/tex]

(b) P(2 Black)

This is calculated as:

[tex]P(2\ Black) = P(Black)\ and\ P(Black)[/tex]

[tex]P(2\ Black) = P(Black)\ *\ P(Black)[/tex]

So, we have:

[tex]P(2\ Black) = \frac{n(Black)}{Total}\ *\ \frac{n(Black)}{Total}[/tex]

[tex]P(2\ Black) = \frac{3}{8}\ *\ \frac{3}{8}[/tex]

[tex]P(2\ Black) = \frac{9}{64}[/tex]

(c) P(1 Red and 1 Black)

This is calculated as:

[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ and\ P(Black)]\ or\ [P(Black)\ and\ P(Red)][/tex]

[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ *\ P(Black)]\ +\ [P(Black)\ *\ P(Red)][/tex]

[tex]P(1\ Red\ and\ 1\ Black) = 2[P(Red)\ *\ P(Black)][/tex]

So, we have:

[tex]P(1\ Red\ and\ 1\ Black) = 2*[\frac{5}{8} *\frac{3}{8}][/tex]

[tex]P(1\ Red\ and\ 1\ Black) = 2*\frac{15}{64}[/tex]

[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{32}[/tex]

(d) P(1st Red and 2nd Black)

This is calculated as:

[tex]P(1st\ Red\ and\ 2nd\ Black) = [P(Red)\ and\ P(Black)][/tex]

[tex]P(1st\ Red\ and\ 2nd\ Black) = P(Red)\ *\ P(Black)[/tex]

[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{n(Red)}{Total} *\ \frac{n(Black)}{Total}[/tex]

So, we have:

[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{5}{8} *\frac{3}{8}[/tex]

[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{64}[/tex]

For probabilities without replacement

(a) P(2 Red)

This is calculated as:

[tex]P(2\ Red) = P(Red)\ and\ P(Red)[/tex]

[tex]P(2\ Red) = P(Red)\ *\ P(Red)[/tex]

So, we have:

[tex]P(2\ Red) = \frac{n(Red)}{Total} \ *\ \frac{n(Red)-1}{Total-1}[/tex]

We subtracted 1 because the number of red balls (and the total) decreased by 1 after the first red ball is picked.

[tex]P(2\ Red) = \frac{5}{8} * \frac{4}{7}[/tex]

[tex]P(2\ Red) = \frac{5}{2} * \frac{1}{7}[/tex]

[tex]P(2\ Red) = \frac{5}{14}[/tex]

(b) P(2 Black)

This is calculated as:

[tex]P(2\ Black) = P(Black)\ and\ P(Black)[/tex]

[tex]P(2\ Black) = P(Black)\ *\ P(Black)[/tex]

So, we have:

[tex]P(2\ Black) = \frac{n(Black)}{Total}\ *\ \frac{n(Black)-1}{Total-1}[/tex]

We subtracted 1 because the number of black balls (and the total) decreased by 1 after the first black ball is picked.

[tex]P(2\ Black) = \frac{3}{8}\ *\ \frac{2}{7}[/tex]

[tex]P(2\ Black) = \frac{3}{4}\ *\ \frac{1}{7}[/tex]

[tex]P(2\ Black) = \frac{3}{28}[/tex]

(c) P(1 Red and 1 Black)

This is calculated as:

[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ and\ P(Black)]\ or\ [P(Black)\ and\ P(Red)][/tex]

[tex]P(1\ Red\ and\ 1\ Black) = [P(Red)\ *\ P(Black)]\ +\ [P(Black)\ *\ P(Red)][/tex]

[tex]P(1\ Red\ and\ 1\ Black) = [\frac{n(Red)}{Total}\ *\ \frac{n(Black)}{Total-1}]\ +\ [\frac{n(Black)}{Total}\ *\ \frac{n(Red)}{Total-1}][/tex]

So, we have:

[tex]P(1\ Red\ and\ 1\ Black) = [\frac{5}{8} *\frac{3}{7}] + [\frac{3}{8} *\frac{5}{7}][/tex]

[tex]P(1\ Red\ and\ 1\ Black) = [\frac{15}{56} ] + [\frac{15}{56}][/tex]

[tex]P(1\ Red\ and\ 1\ Black) = \frac{30}{56}[/tex]

[tex]P(1\ Red\ and\ 1\ Black) = \frac{15}{28}[/tex]

(d) P(1st Red and 2nd Black)

This is calculated as:

[tex]P(1st\ Red\ and\ 2nd\ Black) = [P(Red)\ and\ P(Black)][/tex]

[tex]P(1st\ Red\ and\ 2nd\ Black) = P(Red)\ *\ P(Black)[/tex]

[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{n(Red)}{Total} *\ \frac{n(Black)}{Total-1}[/tex]

So, we have:

[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{5}{8} *\frac{3}{7}[/tex]

[tex]P(1st\ Red\ and\ 2nd\ Black) = \frac{15}{56}[/tex]

Answer:

D) 0.848

Step-by-step explanation:

Marginal Relative Frequency is when you divide the square(s) by the very total, in this case: 231.

Dividing 196/231, you get 0.848484 repeating.

Hope it helps!!!

Answer:

Do you need the answer or the factor??

Step-by-step explanation:

Answer: -(5a+16)

Step-by-step explanation:

Answer:

D.) "Yes, Mr. Yule’s sample is random and representative of the population."

Step-by-step explanation:

Answer: yeah sry i need point

Step-by-step explanation:

Answer:

A. 42.57 and 42.58

42.579337.......

Answer: I think it’s 2

Step-by-step explanation: because either of the sides are equal or the base and a side is not possible.

Aren’t you from CCA, Ryan Rivera, Maths 5th period.

Answer:

2

hope this helps

Answer:

The people who said Yes to having a pet in their home is greater

Step-by-step explanation:

We are asked to compare 18% and 14/25. Let's get them to their lowest common denominator:

18% = 18/100

14/25 * 4 = 56/100

18/100 is clearly much less than 56/100. If you don't want to write all this out, you can also eyeball that 14/25 is over half, whereas 18% is not close to half.

I hope this helps! Sorry if its doesn't though:( I hope you have a amazing day! And maybe you could mark this brainly?

Answer:

166.66 pounds

Step-by-step explanation:

160/0.96=166.66667

This is how I remember doing these questions

Answer:

15 cu ft

Step-by-step explanation:

figure A~figure B

4-->2 ft

10-->5 ft

3-->1.5 ft

V=2×5×1.5=15 cu ft

The volume of Figure B is  15 [tex]ft^{3}[/tex]

The RATIO OF SIMILARITY between any two similar figures is the ratio of any pair of corresponding sides. Simply stated, once it is determined that two figures are similar, all of their pairs of corresponding sides have the same ratio.

According to the question

Figure A ≈ Figure B

Therefore , ratio of corresponding sides have the same ratio .

Figure A              Figure B

4 ft                ⇒         2 ft  (given )

( As ratio of [tex]\frac{side\\\ of\\\ figure A}{side\\\ of\\\ figure B} = \frac{2}{1}[/tex] )

10 ft                ⇒        5 ft

3 ft                ⇒         1.5 ft

Now, volume of Figure B (which is cuboid ) =  Length * Breath * Height

                                                                       =  2 * 5 * 1.5

                                                                       =    15 [tex]ft^{3}[/tex]

Hence, the volume of Figure B is  15 [tex]ft^{3}[/tex]

To know more about  ratio of similarity here:

https://brainly.com/question/39796

#SPJ2

Answer:

9750 min or 162.5 hours

Step-by-step explanation:

375 times 26 = 9750

Answer:

C) 24 cheerleaders

Step-by-step explanation:

20 last year

subtract 3 for those who decided not to join

20 -3 = 17

add 7 for those who joined

17 + 7 = 24

there are 24 cheer leaders

hope it help

Answer:

The correct answer is 10 pounds of chicken

Step-by-step explanation:

First you do 8 divided by 4 to equal the unit price of 1 pound of chicken for 2 dollars then you do 20 divided by 2 to equal 10 pounds of chicken for 20 dollars

HAVE A GOOD DAY!

Answer:

14.6

Step-by-step explanation:

using the trigonometry ratio

cosine

cos35= 12/BC

BC= 12/cos35

BC = 14.64

Answer: 10

Step-by-step explanation:

Hope this helps!

Wouldnt that just be 75x2? bc if so then

The answer is:

75x2=150+ 850=1000