This equation shows how the number of pies Wyatt can bake is related to the number of additional cups of sugar he buys. p=s + 93 The variable s represents the number of additional cups of sugar Wyatt buys, and the variable p represents the total number of pies he can bake. How many additional cups of sugar does Wyatt need in order to bake a total of 95 pies? additional cups of sugar​

Answer:

(11, 18) or x = 11, y = 18

Step-by-step explanation:

I've deduced that equation 1 is y = x + 7 (just by the pattern)

and the second one is y = 26.25 - 0.75x

Solving this system of equations you get x = 11 and y = 18

Answer:

x = 11 and y = 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of buses be x and vans be y.

Equations as per given:

Substitute y and solve for x the second equation:

Then finding y:

The answer is 14 buses and 5 vans

Answer:

Blood clotting normally occurs when there is damage to a blood vessel. Platelets immediately begin to adhere to the cut edges of the vessel and release chemicals to attract even more platelets. A platelet plug is formed, and the external bleeding stops.The First World War fought in July 28, 1914.Diffusion is the net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Let the unknown number be x.

8 = -4(1) + x

8 = -4 + x

x - 4 = 8

x = 8 + 4

x = 12

Answer:

[tex]a_{n}[/tex] = - 4n + 12

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = a₂ - a₁ = 4 - 8 = - 4 , then

[tex]a_{n}[/tex] = 8 - 4(n - 1) = 8 - 4n + 4 = - 4n + 12

Answer:

(x-3)(x-6)

Step-by-step explanation:

Fill in g into f and simplify:

(x-2)²-5(x-2)+4 =

x² - 4x + 4 - 5x + 10 + 4 =

x² - 9x + 18 =

(x-3)(x-6)

Answer:

They multiplied the exponents instead of adding.

Step-by-step explanation:

Essentially, 2^2 x 2^3 is (2)(2) x (2)(2)(2) which is 5, not 6

Answer:

when it says times it doesn't mean times the powers it means add

basically the first one is correct

Answer:

A

Step-by-step explanation:

Okay.

A negative exponent means we want to "flip" the term.

so we get

(1/-c^2)^1/3

When we get a fraction exponent, we want to "root" the term by that

so we get

[tex]\sqrt[3]{\frac{1}{-c^2} }[/tex]

Which simplifies to

[tex]\frac{\sqrt[3]{1} }{\sqrt[3]{-c^2} }[/tex]

Which becomes[tex]1/\sqrt[3]{-c^2}[/tex]

Answer:

D;75ml

Step-by-step explanation:

1st water→30ml

1st oil→20ml

2nd water →Xml

2nd oil →50ml

30→20

X →50

cross multiply both equations

1500=20x

X=1500/20

X=75ml

Answer: a or b on edge

Step-by-step explanation:

It’s either those

Answer:

4 adults tickets and 3 youth

Step-by-step explanation:

Trust me bro

Answer:no graph is shown below

Step-by-step explanation:

But since is no solution they can't have the same slope.

Answer:

2/5

Step-by-step explanation:

Answer:

y = 3x -21

Slope intercept form: y = mx + b

m (slope) = 3

B = - 21

Stay safe and Merry Christmas! :)

Answer:

20 units (I used units because that's what i was taught when there isn't a specific unit)

Step-by-step explanation:

If the triangles are congruent, that means that everything is congruent/the same. So what we do is, we set both equations equal to each other.

6x - 3 = 4x + 9

And now we simplify.

6x - 3 = 4x + 9

-4x         -4x

--------------------

2x - 3 = 9

    +3     +3

-------------------

2x = 12

÷2      ÷2

---------------

x = 6

To find the perimeter, just multiply 6 by 4 since there's four sides. 6 x 4 = 20

Answer:

Original Cost: $76

Fee: 7.5%

Take 7.5% of 76 (76 times .075)  and add the result to the original amount $76

So, 76 times .075= 5.7

5.7+76= 81.7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

10 minutes.

Step-by-step explanation:

5 hours = 300 minutes

90 minutes + 105 minutes + 115 minutes = 310 minutes of programmes.

310-300 = 10 leftover minutes missed

Answer:

The required polynomial is:

[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]

Step-by-step explanation:

Given the zeros

-4, -1, -3

Zeros can be written as:

x = -4, x = -1, x = -3

Finding the factors

x = -4

x +4 = 0

x = -1

x + 1 = 0

x = -3

x + 3 = 0

Thus, the factor are:

(x+4) (x+1) (x+3)

The original function can be computed by multiplying the factors

[tex]\left(x+4\right)\left(x+1\right)\left(x+3\right)=0[/tex]

as

[tex]\left(x+4\right)\left(x+1\right)=x^2+5x+4[/tex]

so the expression becomes

[tex]\left(x^2+5x+4\right)\left(x+3\right)=0[/tex]

Distribute parentheses

[tex]x^2x+x^2\cdot \:3+5xx+5x\cdot \:3+4x+4\cdot \:3=0[/tex]

[tex]x^2x+3x^2+5xx+5\cdot \:\:3x+4x+4\cdot \:\:3=0[/tex]

[tex]x^3+3x^2+5x^2+15x+4x+12=0[/tex]

Add similar elements: [tex]3x^2+5x^2=8x^2[/tex]

[tex]x^3+8x^2+15x+4x+12 = 0[/tex]

Add similar elements: [tex]15x+4x=19x[/tex]

[tex]x^3+8x^2+19x+12=0[/tex]

Thus, the required polynomial is:

[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]

Note: your answer choices are a little ambiguous, but I have explained the entire procedure. Hopefully, it will clear your concept.

Answer:

If you were to factor this inequality the answer would be

-6(4p+15)

If you were to simplify this inequality the answer would be

-24p-90

I don't really know how your question is set up or how your teachers teach this but here are two possible answers. I hope this helps

Answer:

Okay, so its kinda funny that you ask this question because its on our performance final that's due tomorrow but use elimination.

Step-by-step explanation:

Answer:

C. 23

Hope your grade raises

Step-by-step explanation:

c

Given:

The table of values is

Number of Students   :  7    14   21    28

Number of Textbooks : 35  70  105  140

To find:

The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.

Solution:

The ratio of number of textbooks to number of students are

[tex]\dfrac{35}{7}=5[/tex]

[tex]\dfrac{70}{14}=5[/tex]

[tex]\dfrac{105}{21}=5[/tex]

[tex]\dfrac{140}{28}=5[/tex]

All the ratios of the two quantities are proportional and equivalent to the unit rate.

Let y be the number of textbooks and x be the number of students, then

[tex]\dfrac{y}{x}=k[/tex]

Here, k=5.

[tex]\dfrac{y}{x}=5[/tex]

[tex]y=5x[/tex]

Hence the rate of change is constant that is 5.

Answer:

in step by step

Step-by-step explanation:

Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time.

The formula for distance problems is: distance = rate × time or d = r × t.

Things to watch out for:

Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.

It would be helpful to use a table to organize the information for distance problems. A table helps you to think about one number at a time instead being confused by the question.

Distance Problems: Given Total Time

Example:

John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?

Solution:

Step 1: Set up a rtd table.

r

t

d

Case 1

Case 2

Step 2: Fill in the table with information given in the question.

John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?

Let t = time to travel to town.

7 – t = time to return from town.

r

t

d

Case 1

40

t

Case 2

30

7 – t

Step 3: Fill in the values for d using the formula d = rt

r

t

d

Case 1

40

t

40t

Case 2

30

7 – t

30(7 – t)

Step 4: Since the distances traveled in both cases are the same, we get the equation:

40t = 30(7 – t)

Use distributive property

40t = 210 – 30t

Isolate variable t

40t + 30t = 210

70t = 210

210/70

Step 5: The distance traveled by John to town is

40t = 120

The distance traveled by John to go back is also 120

So, the total distance traveled by John is 240

Answer: The distance traveled by John is 240 miles.

Answer: No, there isn't a proportional relationship.

Step-by-step explanation: In these type of problems, always divide. For it to be proportional, the number of children/ apple slices should be the same for all days. But it isn't, the value differs.

Answer:

3:2 is the proportional relationship

Step-by-step explanation:

Answer:option 2

Step-by-step explanation:

Answer:

im pretty sure its option number 2

Answer: x = 5.625

Step-by-step explanation:  The triangles are similar; the side lengths of the large triangle are proportional to the lengths of the small triangle. The corresponding parts are proportional.

Use proportion. The total length of side FV is 16.

6:16 = x:15 . or 6/16=x/15

cross multiply 15 × 6 = 90, then divide 90/16

90/16 = x

5.625 = x

Answer:

18 servings

Step-by-step explanation:

Answer:

2sqaured + 24

Step-by-step explanation: