Here is a list of ingredients for making 12 small cakes. 108 g margarine 180 g sugar 200 g plain flour 1 teaspoon baking powder 2 eggs. Joe is going to make 24 of the small cakes. Determine how much margarine he will need. Write your answer in a complete sentence.

Answer:

[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (2,3)[/tex]

[tex](x_2,y_2) = (7,4)[/tex]

Required

Complete the equation y - 4.....

First, we need to determine the slope as follows:

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

[tex]m = \frac{4 - 3}{7 - 2}[/tex]

[tex]m = \frac{1}{5}[/tex]

The equation is then calculated as thus:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - 4 = \frac{1}{5}(x -7)[/tex]

Open bracket

[tex]y - 4 = \frac{1}{5}x -\frac{7}{5}[/tex]

Add 4 to both sides

[tex]y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4[/tex]

[tex]y = \frac{1}{5}x -\frac{7}{5} + 4[/tex]

[tex]y = \frac{1}{5}x +\frac{-7+20}{5}[/tex]

[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]

Answer:

y - 4 = 1/5 ( x - 7 )

Step-by-step explanation:

Khan Academy

Answer:

1. -4

2. 10

3. -19

4. 5

Step-by-step explanation:

1. 5 + -9= -4

2. -3 + 13 = 10

3. -8 + 11 = -19

4. 6 + -1 = 5

Answer:

The average speed of the athlete for the entire competition is approximately 21.23 km/hr

Step-by-step explanation:

The given parameters of the athlete performance in the triathlon are;

The length the athlete swims = 750 m = 0.75 km

The time the athletes spends swimming = 15 minutes = 0.25 hours

The speed with which the athlete cycles = 40 km/hr.

The time the athletes spends while cycling = 30 minutes = 0.5 hours

The distance the athlete ran = 5 km

The average speed with which the athlete ran = 3 m/s = 10.8 km/hr.

The formula for average speed, s is Average speed = Total distance/(Total time)

The distance, ∑d, the athlete covered in the entire competition is given as follows;

∑d = 0.75 km + 0.5 hr. × 40 km/hr. + 5 km = 0.75 km + 20 km + 5 km = 25.75 km

The distance, ∑t, the athlete spends in the entire competition is given as follows;

∑t = 0.25 hr. + 0.5 hr. + 5 km/(10.8 km/hr.) = 0.25 hr. + 0.5 hr. + 0.463 hr. ≈ 1.213 hr.;

Therefore;

The average speed of the athlete for the entire competition, s = ∑d/∑t = 25.75 km/(1.213 hr.) ≈ 21.23 km/hr.

Slope = -1/2

Y intercept = -9/2

=====================================================

Work Shown:

2x + 4y = -18

2(x+2y) = -18 .... factor out 2

x+2y = -18/2 .... divide both sides by 2

x+2y = -9

2y = -9-x .... subtract x from both sides

2y = -x-9

y = (-x-9)/2 ... divide both sides by 2

y = (-x/2) - (9/2) ... break up the fraction

y = (-1/2)x - 9/2

The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.

Answer:

Step-by-step explanation:

2x + 4y = -18

2(x+2y) = -18 .... factor out 2

x+2y = -18/2 .... divide both sides by 2

x+2y = -9

2y = -9-x .... subtract x from both sides

2y = -x-9

y = (-x-9)/2 ... divide both sides by 2

y = (-x/2) - (9/2) ... break up the fraction

y = (-1/2)x - 9/2

The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.

Answer:

5

Step-by-step explanation:

Answer:

8% compounded monthly has higher yield

Step-by-step explanation:

Here, we want to compare which of the two options would give a higher yield

An interest rate of 8% compounded monthly or 8% compounded annually

Let us say we are looking at a time frame of two years

If compounded monthly, since there are 12 months in a year, there would have been a compounding of 12 * 2 = 24 times

While if it is annual, we would have only twice

The higher the number of times we compound, the more the return

Given :

Susan wanted to share her 37 seashells with her two younger brothers.

To Find :

If she divided her seashells between the three of them, how many would each person get.

Solution :

Let, each person will get x seashells.

So,

[tex]x = \dfrac{\text{Total number of seashells}}{\text{Number of persons}}\\\\x = \dfrac{37}{3}\\\\x = 12.333[/tex]

But as we know seashells cannot be in decimal.

Therefore, each person will get exactly 12 shells.

Answer:

The answer is C i think  not that sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

a= -3i

g=2i - 1lj

Solve:

-a - g

If l is an L then

-(-3i) - (2i-1lj)

i + lj

If I is an i then

-(-3i) - (2i-1ij)

i + ji

Answer:

The answer is B.

Step-by-step explanation:

12y5−8y3+24y2

=4y2(3y3−2y+6)

Answer:

0.95

Step-by-step explanation:

[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]

[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]

Answer:

The probability that there is at least one pair but not a three of a kind is 0.6944.

Step-by-step explanation:

We have the case when we have five dices and we roll them and we need  that there is at least one pair but not a three of a king which is Two dice showing the same value, but no three dice showing the value.

Total no of outcomes = [tex]6^5 = 7776[/tex]

We will consider the other cases and then subtract them from the total outcomes.

No of outcomes of 5 of a kind = 6

No of outcomes 4 of a kind and 1 different = (6*5)*5 = 150

No of outcomes with 3 of a kind and 1 different pairs = (6*1*1*5*1)*5C2= 300

No of outcomes with 3 of a kind and two different = 6*5*4*10= 120*10=1200

No of outcomes when all are different = 6! = 720

These all the cases when subtracted from the total will represent the total cases in which there are two dice showing the same value.

Total cases = 6+150+300+1200+720

                   = 2376

Required no of outcomes = 7776-2376 = 5400

Probability = [tex]\frac{5400}{7776}[/tex] = 0.6944

Therefore the probability for the case of at least one pair but not a three of a kind is 0.6944.

Answer:

D 41/10

Step-by-step explanation:

substitute the values given into the equation. Calculate.

Answer:

D: 41/10

Step-by-step explanation:

Answer:

See answers below

Step-by-step explanation:

The Bisector Angle Theorem basically states that if a bisector cuts the middle of an angle, the two angles that it creates will be equal to each other.

Therefore:

#7 -> x=38

#8 -> x=144

#9 -> 2x=84 -> x=42

#10 -> x+3=30 -> x=27

Answer:

I think 3 not sure don't angry if wrong

Answer:

Step-by-step explanation:

Answer:

Yes this is right (Hope this helps)

Step-by-step explanation:

(Brainliest)

Answer:

Step-by-step explanation:

[tex]\frac{5^{-2} }{4^{6} } =\frac{1}{5^{2} 4^{6} }[/tex]

Answer:

the middle one because HL is hypotenuse-leg and the middle one is the one that has a congruent hypotenuse and a congruent leg

(HL theorem only works with a right triangle)

Step-by-step explanation:

The pair of triangles that can be proven congruent by the HL theorem is the triangles in the middle.

According to the HL Theorem:

A triangle would contain:

Therefore, we can see that the pair of triangles in the middle of the diagram are congruent through the HL theorem as they satisfy the conditions.

Read more about congruence here:

https://brainly.com/question/2102943

#SPJ9

month 4: 13.25*4=53. 53+50 = 103

month 4: 25.75*4 = 103

They both cost $103 on month 4

Answer: [tex]0.1x-0.25y<0[/tex]

Step-by-step explanation:

Let the two numbers be x and y

10% of the first number will be;

10% of x

[tex]=\frac{10}{100} of x[/tex]

[tex]=0.1x[/tex]

25% of the other number will be ;

25% of y

[tex]0.25y[/tex]

If 10% of the first number is less than 25% of the other number, this is expressed as;

[tex]0.1x<0.25y[/tex]

[tex]0.1x-0.25y<0[/tex]

Hence the required inequality is [tex]0.1x-0.25y<0[/tex]

PLEASE MARK ME AS BRAINLIEST

Answer:

11/200

Step-by-step explanation:

5.5% = 5.5/100 = 0.055

0.055 1000

———- X ———

1 1000

=55/1000

=11/200

Answer:

hi

Step-by-step explanation:

so i thin is 38.00 why because te  inequality

Answer:

The number is:

Step-by-step explanation:

Let 'n' be the number

As the difference between increasing a number by 20% and decreasing the same number by15% is 14.

Thus, the expression becomes

[tex]\left(n\:+\:\frac{n}{5}\right)\:-\:\left(n\:-\:\frac{3n}{20}\right)\:=\:14[/tex]

[tex]n+\frac{n}{5}-n+\frac{3n}{20}=14[/tex]

[tex]\frac{7n}{20}=14[/tex]

Multiply both sides by 20

[tex]\frac{7n}{20}\cdot \:20=14\cdot \:20[/tex]

[tex]7n=280[/tex]

Divide both sides by 7

[tex]\frac{7n}{7}=\frac{280}{7}[/tex]

[tex]n=40[/tex]

Thus the number is:

Given:

Usual cost of a bottle of sparkling water = $1.69 each

This week they are on sale for 4 for $5.

To find:

Did you pay more or less for the bottle this week?

Solution:

We have,

Usual cost of 1 bottle = $1.69

On sale, cost of 4 bottles = $5

On sale, cost of 1 bottles = [tex]\dfrac{\$5}{4}[/tex]

                                         = $1.25

Since, $1.25 is less than $1.69, therefore the unit cost on sale is less than usual unit cost.

Hence, you pay less for the bottle this week.

Answer:

(-7,-3)

Step-by-step explanation:

step one) solve one equation for x.

y=-3x

-3x/-3=y/-3

x=(-y/3)

step two) plug in x for the other original problem.

y=x-4

y=(-y/3)-4

step three) solve for y.

y=(-y/3)-4

y+4=(-y/3)-4+4

3*(y+4)=(-y/3)*3

3y+12=-y

(3y+12)-3y=-y-3y

12/-4=-4y/-4

y=-3

step four) plug in -3 for y and solve for x.

y=x-4

-3=x+4

-3-4=x+4-4

-7=x

I am in algebra two so you can trust my answer. if you need more help lmk in the comments. happy holidays and stay safe!

Answer : what do i answer

Step-by-step explanation:

Answer:

at 6 minutes and 8.25 minutes

Step-by-step explanation:

When the time reaches 6 minutes, the line touches 35mph. Same goes for 8.25 minutes.

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lanation:

anwer it on ur, own nah im just kidding bruh i gatchu

i think it would be 24.3 because the shadow is being cast farther than the tree to you would want to divide the shadow of the mailbox by the actual height of the mailbox then times that by tree