Mack baked three different cakes, each requiring varying amounts of sugar. The first cake needed 1 and 1/4 cups of sugar, the second one needed 1 and 3/4 cups and the last one needed 1 and 2/4 cups. How much sugar was needed to bake the cakes?

A. 3 and 1/4 cups
B. 3 and 3/4 cups
C. 4 and 1/2 cups
D. 5 cups

Given:

Consider the expression [tex]ax(4x-2y-3)[/tex] simplifies to [tex]24x^2-12xy-18x[/tex].

To find:

The value of a.

Solution:

We have,

[tex]ax(4x-2y-3)=24x^2-12xy-18x[/tex]

Using distributive property, we get

[tex]4ax^2-2axy-3ax=24x^2-12xy-18x[/tex]

On comparing the coefficients of [tex]x^2[/tex] from both sides, we get

[tex]4a=24[/tex]

[tex]\Rightarrow a=6[/tex]

Therefore, the value of a is 6.

Answer:

pay will type 13 pages on Friday

New average

[tex] = \frac{1 + 65}{2} [/tex]

[tex] = \frac{66}{2} [/tex]

[tex] = 33[/tex]

Therefore, the boy's new average is 33%

Answer:Are you sure because when I divide it gives me 35 it’s no remainder and when I check to see if 35*3 is 105 it’s correct

Step-by-step explanation:

IAnswer:

I don't think there is a remainder

Step-by-step explanation:

Answer: 192 cm

Step-by-step explanation:

Answer:

144 square inches

Step-by-step explanation:

the perimeter of a square means that all sides are equal. 48 divided by 4 = 12

They are as equal to the sides times each other 12 x 12=144

Answer:

3,4 for cups of hot cocoa

4 for marshmallows

Step-by-step explanation:

dfggdr

Cups of hot cocoa                                                      Marshmallows

1.                                                                                   2.

2.                                                                                  4.

3.                                                                                  6.

8.                                                                                  16.

Answer:

(1 , -2)

Step-by-step explanation:

The intersecting point of two lines is the solution

Answer: X→1(first blank) Y→-2(second blank) and or (1,-2)

The answer is Convection

Answer:

ok it is an Oligarchy :D

Step-by-step explanation:

Answer:

4 plants

Step-by-step explanation:

Betty = $26

Plants = $6 each

[tex]\frac{26}{6}=4.3333[/tex]

Betty can buy 4 plants

Answer:

Option (3)

Step-by-step explanation:

There are two parallel lines 'p' and 'q' and a transversal line is intersecting these lines at two distinct points.

Each pair of angles formed on the inner side of the parallel lines but opposite sides of the transversal line are the alternate interior angles.

Pair of angles (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles.

Since, alternate interior angles are equal in measure,

∠2 ≅ ∠6

∠3 ≅ ∠7

Option (3) will be the answer.

Answer:

D.2

Step-by-step explanation:

The only feasible answer that I see fit, is D, as it is the only whole number that is perpendicular to the graph.

Answer:

b and e

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

If you divide rise over run you will do the equation -1 divided by 3 which is equal to -1/3

Answer:

1050

Step-by-step explanation:

40 percent of $1500 is $600

$1500-$600=$900

$900+$150=$1050

Answer:

-5 5/6

Step-by-step explanation:

1 2/3=5/3

-3 1/2=-7/2

5/3*-7/2=-35/6= -5 5/6

Answer:

- 5 5/6 or Decimal: -5.833333

Step-by-step explanation

Answer:

1

Step-by-step explanation:

y2-y1/(x2-x1)

-5--13/1--7

8/8

Slope is 1

Answer: (slope) m = 1

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

I took the test

Answer:

B

Step-by-step explanation:

If you get y by itself, subtract x from both sides and get y= -x+11

Answer:

6.3 or 6.28 to be exact

Answer:

V=11

Step-by-step explanation:

Simplify:

14V-5V+5=4V+60

9V+5=4V+60

Subtract 4V on both sides:

9V-4V+5=4V-4V+60

Solve:

5V+5=60

Subtract 5 on both sides:

5V+5-5=60-5

5V=55

Divide by 5

V=11

Hope this helps!

Step-by-step explanation:

14V+ 5 - 5V= 4V+ 60|-60|-4V

14V + 5 -5 V - 60 - 4V =0

<=> 5V - 55 =0 |+55

<=> 5V = 55 |:5

<=> V= 11

Answer:

4x - 6

Step-by-step explanation:

 Matt:  x

Steve: 2(x - 2)

John:  x - 2

Total magazines sold:

  x + 2(x - 2) + (x - 2)

  x + 2x - 4 + x - 2

  4x - 6

The simplified expression representing the total amount of magazines sold is 4x - 6

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that Matt, Steve and John sold magazines for a school fundraiser. John sold two less than Matt. Steve sold twice as many as John.

Let the variable Matt:  x

Steve: 2(x - 2)

John:  x - 2

Now Total magazines sold:

 x + 2(x - 2) + (x - 2)

Solving;

 x + 2x - 4 + x - 2

 4x - 6

Learn more about equations here;

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Answer:

900 students

Step-by-step explanation:

We have, 85% × x = 765 or, 85/100 × x = 765. Multiplying both sides by 100 and dividing both sides by 85, we have x = 765 × 100/85. So x = 900. If you are using a calculator, simply enter 765×100÷85, which will give you the answer.

Answer:

The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%

Step-by-step explanation:

Given that

Mean = μ = 15 points

SD = σ = 3 points

For calculating probability for a data point, first of all we have to calculate the z-score of the value.

We have to find the probability of score greater than 24, then the z-score of 24 is:

z-score = (x-μ)/σ

z = (24-15)/3

z = 9/3

z = 3

Now we have to use the z-score table to find the probability of z<3 then it will be subtracted from 1 to find the probability of z>3

So,

[tex]P(z<3) = 0.9987\\P(z>3) = 1 - P(z<3) = 1-0.9987 = 0.0013[/tex]

Converting into percentage

0.0013 * 100 = 0.13%

Hence,

The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%

Answer:0.15%

Step-by-step explanation:

Notice that 24 points is three standard deviations greater than the mean. Based on the Empirical Rule, 99.7% of the player's game scores are within three standard deviations of the mean. Since the normal distribution is symmetric, this implies that 0.15% of the player's game scores are greater than three standard deviation more than the mean.

Answer: [tex]3\frac{1}{5}[/tex]

have: [tex]6\frac{1}{2}=6.5;\\\\3\frac{3}{10}=3.3[/tex]

Syd ran than Jose: [tex]6.5-3.3=3.2=\frac{16}{5}=3\frac{1}{5}[/tex] (miles)

Step-by-step explanation:

Answer:

[tex]3\frac{1}{5}[/tex]

Step-by-step explanation:

First you want to find the least common denominator so we can figure out this problem.

We have  [tex]3\frac{3}{10} , 6\frac{1}{2}[/tex] so all we need to do is multiply ONLY the fraction next to the 6 so we can figure out what 1/2 and 3/10 correlates to which you will get

so your new question is

[tex]3\frac{3}{10} , 6\frac{5}{10}[/tex]

Which is so much easier, all you need to do is subtraction between the two!

5/10-3/10 is 2/10

2/10=1/5

Then we got the whole numbers

6-3=3

so the answer is [tex]3\frac{1}{5}[/tex]

Answer:

7777777777y9hhf fxh hnbbh

Step-by-step explanation:

Answer:

$66.80

Step-by-step explanation:

multiply 5.85 by 8 and then add the product to 20 to get the total

After the eight weeks, Rita has $66.8 now.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, Rita had $20.

Then she saved $5.85 each week for 8 weeks

That means,

she saved the amount,

= amount saved in one week multiplied by 8

She saved the amount

= $5.85 x 8

$5.85  × 8 means $5.85  is added eight times.

Rita saved the amount

= $5.85 x 8

= $46.8

To find the total amount;

$20 + $46.8 = $66.8

And bar diagram is in the attached image.

Therefore, she has $66.8.

To learn more about the multiplication;

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