Help step by step plz :)

Answer:

The expression you can use to find out how many boys is b + (b - 84) = 1824

There are 954 boys at Southside High School

There are 870 girls at Southside High School

Step-by-step explanation:

Assume that the number of boys in the Southside High School is b

∵ There are b boys in the Southside High School

∵ The number of girls is 84 fewer than boys

→ Subtract 84 from b to find the number of girls

∴ The number of girls in the Southside High School is (b - 84)

∵ Southside High School has a total of 1824 students

→ That means the sum of the numbers of the boys and the girls is 1824

∴ b + (b - 84) = 1824

∴ The expression you can use to find out how many boys is

   b + (b - 84) = 1824

→ Add the like terms in the left side

∴ (b + b) - 84 = 1824

∴ 2b - 84 = 1824

→ Add 84 to both sides

∵ 2b - 84 + 84 = 1824 + 84

∴ 2b = 1908

→ Divide both sides by 2 to find b

∵ [tex]\frac{2b}{2}=\frac{1908}{2}[/tex]

∴ b = 954

∴ There are 954 boys at Southside High School

∵ The number of girls at Southside High School = b -84

→ Substitute b by 954

∴ The number of girls at Southside High School = 954 - 84

∴ The number of girls at Southside High School = 870

∴ There are 870 girls at Southside High School

Answer:

0

Step-by-step explanation:

Using the trigonometric identity

cotx = [tex]\frac{cosx}{sinx}[/tex]

Given

3cotθ = 2 , then

3[tex]\frac{coso}{sino}[/tex] = 2 ( multiply both sides by sinθ )

3cosθ = 2sinθ ( subtract 3cosθ from both sides )

2sinθ - 3cosθ = 0

Thus

[tex]\frac{2sin0-3cos0}{2sin0+3cos0}[/tex]

= [tex]\frac{0}{2sin0+3cos0}[/tex]

= 0

Answer:

I would say its D. 9.00

Step-by-step explanation:

Answer:

Weeks in a Year. A normal year has 365 days, which is 52 Weeks and 1 Day. A leap year has 366 days, which is 52 .

Step-by-step explanation:

hope this helps :)

Answer:

I think 6

Step-by-step explanation:

365/12=30.42

30.42/5= 6.08

Answer:No, because when we divide 48/3=16 so 16 words are typed in 1 minute while when you divide 75/5=15 so 15 words are typed in 1 minute and 16 is greater than 15 so their not equivalent

Step-by-step explanation:

Answer:

27(2+1)

Step-by-step explanation:

Its 27(2+1) because 27 is the GCF and it  goes into 54 and 27 then you divide 54/27 and then 27/27, at that point you have the numbers 2 and 1 then you just put them into the equeation. And BOOM just like that your finished.

Answer:

55(x)+50

Step-by-step explanation:

Answer:

Y=55x+50

Step-by-step explanation:

Answer:

0.128

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

If the x is 2 in f(x) the answer should be 6 according to your table.

Answer:

6

Step-by-step explanation:

if the X is to in f(x) answerr will be 6 according to your table

Answer:

The answer is below

Step-by-step explanation:

Meghan covered 5 miles with 9,780 steps. The number of steps per mile = 9780 / 5 = 1956 steps per mile

David covered 6 miles with 9,780 steps. The number of steps per mile = 11928 / 6 = 1988 steps per mile

This means that David covered more steps per mile compare to Meghan. The number of more steps = 1988 - 1956 = 32

Therefore David had 32 more steps per mile

Answer:

Maximum price = GH¢85

Step-by-step explanation:

Let p be the number of times she raises the price as well as the number of times 10 less plates are sold

Revenue, R = number of plates sold * price sold

R = (300 - 10p)(20 + 5p)

R =  6000 + 1500p - 200p - 50p²

R = 6000 + 1300p - 50p²

50p² - 1300p - 6000 = 0

p² - 26p - 120 = 0

finding the axis of symmetry, p = -b/2a

p = -(-26)/2*1

p = 13

Maximum price = 13 * 5 + 20 = GH¢85

Number of plates sold = 300 - 10 * 13 = 170 plates

Maximum revenue = GH¢85 * 170 = GH¢14,450

Answer: $ 3.57

Step-by-step explanation:

Given: Cost for each sandwich at the local deli shop = $2.55

They sell it at selling price = 140% of 2.55

[Replace 'of' by 'x " and '%' by [tex]\dfrac{1}{100}[/tex]]

[tex]=\dfrac{140}{100}\times 2.55\\\\=1.4\times2.55\\\\=\$3.57[/tex]  

i.e. Selling price = $ 3.57

Hence, The sandwich sells for $3.57.

Answer:

3.57

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2x-2/5=4

2x= 4+(2/5)

2x= 4/5+20/5

x=(22/5)/2

x= 22/10 or 11/5

check:

2(11/5)-2/5=(22/5)-(2/5)

=20/5

=4

Answer:

213 answer

Step-by-step explanation:

I hope it help

Answer:8/3

Step-by-step explanation:divide both sides by -3 2 negative make a positive add 2 to both sides simplify 2/3 +2 to 8/3

Answer:

The answer is

[tex] \huge \boxed{k = \frac{8}{3} } \\ [/tex]

Step-by-step explanation:

[tex]−3(k − 2) = −2 [/tex]

Expand the terms in the bracket

That's

[tex] - 3k + 6 = - 2[/tex]

Subtract 6 from both sides of the equation

We have

[tex] - 3k + 6 - 6 = - 2 - 6 \\ - 3k = - 8[/tex]

Divide both sides by - 3

[tex] \frac{ - 3k}{ - 3} = \frac{ - 8}{ - 3} \\ [/tex]

We have the final answer as

[tex]k = \frac{8}{3} \\ [/tex]

Hope this helps you

Answer:#3

Step-by-step explanation:

Ur welcome

Answer:

Sorry and where is your questions..

Answer:

hope this helps :)

Step-by-step explanation:

Answer:

y=-4x+3

if you bring (2,-5) in other three lines.

you will know that it will be unreasonable that

-5=10

-5=-21

-5=-11

i would say 6 circles, so the second one.

Answer:

6 circles

Step-by-step explanation:

because yess

Answer:

Option (4)

Step-by-step explanation:

From the figure attached,

Length of the rope holding Kayla to the boat = 240 meters

Horizontal distance of Kayla from the boat = x = 181 meters

Let the distance of Kayla above the boat = y meters

Triangle formed is a right triangle. Therefore, by applying Pythagoras theorem in the given triangle,

x² + y² = (240)²

(181)² + y² = (240)²

y = [tex]\sqrt{57600-32761}[/tex]

  = [tex]\sqrt{24839}[/tex]

  = 157.6 meters

Therefore, vertical distance between Kayla and boat is 157.6 meters.

Option (4) will be the answer.

Answer:

4x - 3 = y

Step-by-step explanation:

Here's why: 4 is your slope and -3 is your y intercept so the equation would look something like 4x - 3 = y.

Hope I helped

Answer:

Johnny earns 50 cents each hour, x.

Step-by-step explanation:

Answer:

Ariana wanted to buy cashews at the grocery store. Cashews are $0.5 per ounce. If Ariana has $10 how many ounces of cashews can she buy

Answer:

With? I dont see an image if you attached one

Step-by-step explanation:

Answer:

The cost increases by $8.50 for each person who attends the event.

Step-by-step explanation:

The company charges an initial fee of $45.00

The cost increases by $8.50 for each person who attends the event.

The correct options are B and C

As per the given data:

The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.

By comparing this equation with the slope intercept form y = mx + c

slope(m) = 8.50

We can find out the initial fee charged by the company by substituting

x = 0 {zero people}

y = 8.50(0) + 45.00

y = $45.00

For increase in cost with each person attending the event:

Cost for 2 persons - Cost for 1 person

= 8.50(2) + 45.00 - [8.50(1) + 45.00]

= 8.50(2) - 8.50(1)

= $8.50

This is the slope of the line

Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.

To learn more on Slope, click:

brainly.com/question/3605446

#SPJ2

Answer:

The first one (4cm for height and 3cm for base)

Step-by-step explanation:

the original height is 16cm and base is 12cm

if you multiply them both by 1/4 or 0.25 you get 4 and 3

(16*0.25=4 and 12*0.25=3)

Another way you could do it is to divide 16 and 12 by four and you still get 4 and 3

(16/4=4 and 12/4=3)

Answer:

Is A.

Step-by-step explanation:

The sides of the triangle include numbers 4 and 3 in option A. Mathematically in scale factor form, 16 cm 12 cm divide or multiply evenly into the scale factor of 1/4.