A recipe for 24 cookies requires112 cups of sugar. If Ben wants to make 36 cookies, how much sugar does he need?

Answer:

[tex]y=8x-25[/tex]

Step-by-step explanation:

The first thing to do is to find the slope. The slope is the difference in Y divided by the difference in x, or:

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

Here (3, -1) is going to be (x1, y1) and (4, 7) will be (x2, y2):

[tex]m=\frac{7--1}{4-3}=\frac{8}{1}=8[/tex]

The slope is 8. Now, you can plug that into the formula. To find the y-intercept, plug in any point on the line and solve for b:

[tex]y=mx+b\\-1=8(3)+b\\-1=24+b\\b=-25[/tex]

Now we have both the slope and the y-intercept so you can write the equation for the line:

[tex]y=8x-25[/tex]

You can test that either by checking y for some value of x, or by graphing.

Answer:

12x-15 dollars

Step-by-step explanation:

She worked for x hours, and earned $12 for every hour. This would be 12x. Then, she got charged $15 dollars, so -15. It would then be 12x-15 dollars.

Answer:

C

Step-by-step explanation:

Answer:

Both of the angles will add up to 180 degrees so let’s make an equation.

5x-5+2x+10=180

First we collect like terms

5x+2x-5+10=180

Add them up

7x+5=180

Move the constant to the right

7x=180-5

7x=175

7x/7=175/7

x=25

So yes it’s true x=25.

Now we find the respective angles,

5x-5

5(25)-5

125-5

120

So angle one is 120 degrees.

2x+10

2(25)+10

50+10

60

So angle two is 60 degrees.

Now to check,

120+60=180

Step-by-step explanation:

Answer: hopefully this helps!

Rational expressions are expressions that can be represented as a quotient

The equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]

The expression is given as:

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex]

Expand the numerator as follows

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c \times c -5c \times 3 + 9\times c -9 \times 3)}{c - 8}}[/tex]

Multiply the factors on the numerator

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -15c+ 9c -27)}{c - 8}}[/tex]

Collect and evaluate like terms

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -6c-27)}{c - 8}}[/tex]

Remove the brackets

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{5c^2 -6c-27}{c - 8}}[/tex]

This means that:

[tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex] and the given expression [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] are equivalent

Hence, the equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]

Read more about rational expressions at:

https://brainly.com/question/25292194

Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

A similar problem is given at https://brainly.com/question/16807970

Answer:

4.5

Step-by-step explanation:

I took the test and got it right

Tt takes 20.15 minutes for the groundhog to reach a depth of -2.6 feet.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a groundhog starts out in its burrow 6.2 feet below the surface of the ground.

It digs straight up at a rate of 0.8 feet per minute.

Here, rate =6.2/0.8

= 7.75 feet per minute

Now, the time is 2.6×7.75

= 20.15 minutes

Therefore, it takes 20.15 minutes for the groundhog to reach a depth of

-2.6 feet.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per minute. How long does it take for the groundhog to reach a depth of −2.6 feet?

Answer:

The answer is D ane B

Step-by-step explanation:

The expression [tex](8z-4)(-7)[/tex] you would have to distribute -7 to get [tex]-56z+28[/tex]

The same goes for 40 in the expression [tex](-1.4z+0.7)*40[/tex]

Answer:

yes

Step-by-step explanation:

0.045 is greater than 0.00195

Answer:

Step-by-step explanation:

Group B, lower values of dots, with lower amounts of dots.

Answer:

c. 1.1

Step-by-step explanation:

-5.5(-1/5) = 5.5/5 = 1.1

Answer:

p = 6/11

Step-by-step explanation:

11/6 = 1/p

=> 11p = 6

=> p = 6/11

Hoped this helped.

Answer:

x=50

Step-by-step explanation:

60+70=130

180-130=50

according to vertical angles x equals 50 degrees

Answer:

2.7

Step-by-step explanation:

1200x 30/100×25/100×3/100=2.7

Answer:

21

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

(-2/7) / (-8/21)

When dividing by a fraction flip it over and multiply

(-2/7) * (-21/8)

Cancel 2 and 8

(-1/7) * (-21/4)

Cancel 7 and 21

(-1/1) * (-3/4)

multiply

3/4

Answer:

a is 4 because 4 x 16=20 i hope this help

a + 16 = 20

a = ?

a = 20 + 16

a = 36

a = 36 ✔️

Multiply the amount per week by the number of weeks (x) and add that to the starting amount they had. Set those to equal each other and solve for x:

222 + 10x = 148 + 12x

Subtract 10x from both sides:

222 = 148 + 2x

Subtract 148 from both sides

74 = 2x

Divide both sides by 2

X = 37

Answer: 37 weeks

Answer:

  3/4 hour

Step-by-step explanation:

The ratio of speeds going : coming is 9 : 3 = 3 : 1. The ratio of times will be the inverse of this: 1 : 3.

The time spent walking back is 3/(1+3) = 3/4 of the total, or 3/4 hour.

Andrea should plan on walking back for 3/4 hour.

Answer:

Sorry need points

Step-by-step explanation:

Answer:

134.12

Step-by-step explanation:

Subtraction.

Tell me if you want a step by step.

Hope this helped. :)

Answer:

1,044

Step-by-step explanation:

Answer:

Step-by-step explanation:

1044

Answer:

4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

if 50 AED= 12 Euro

for 1 AED ? Euro

50AED/1AED= 12Euro/x

cross multiplication:

50*x=12*1

50*x=12

x=12/50

x=0.24 Euro

so for 1AED you will get 0.26 Euro

Answer:

Step-by-step explanation:

b=boy

a= a on the exam

b=15

b∩a=6

b'∩a=3

b'∪a'=?

b'∪a'= b'+a'-b'∩a'

a= b∩a+b'∩a (law of total probability) = 9

a'= 25-9 = 16

b'= 25-15= 10

16+10-7=19

19/25= .76

Answer:

I wanna have fun sike lol

Step-by-step explanation:

9514 1404 393

Answer:

  a. $4.17

  b. 233.3%

Step-by-step explanation:

a. The proportion the markup (m) is to the total (t) is ...

  m : t = 7 : 10

The total is the cost (c) plus the markup, so we have ...

  m : t = 7 : 10 = m : (m +c) = 7 : 7 +3

Then the ratio of total price to cost is ...

  t : c = 10 : 3

The menu price of the pie slice will be ...

  $1.25 × 7/3 ≈ $4.17

__

b. The ratio of markup to cost is ...

  m : c = 7 : 3 ≈ 2.333 = 233.3%

Answer:

i got b= -11

Step-by-step explanation:

Answer:

Step-by-step explanation:

5b + 6 - 6b + 2 = 19

5b-6b+6+2=19

-b+8=19

b=8-19

5(-11) + 6 - 6(-11) + 2 = 19

-55 + 6 + 66 + 2 = 19

-55+74=19

19=19