The table shows how many slices of cake were sold during the week. Each slice of cake is equivalent to 116 of a cake. Determine if each statement is true by selecting Yes or No.

Answer:

a

Step-by-step explanation:

Answer:

fhbfxchb xf ncvjn cvncb

Step-by-step explanation:

Answer: C. 2x2 + 3x + 16/(x - 3)

Step-by-step explanation:

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Answer:

7.7.7.7

7 to the fourth power

7^4 (7 raise to the 4th power) as well.

Step-by-step explanation:

This was an Iready math quiz question

Answer:

Step-by-step explanation:

correct answers

Answer:

My best conclusion (simply put) is that you had a higher score than the average class.

Step-by-step explanation:

It obvious that the green dots is above the averages of both bars. It would be safe to think that you scored higher than the average of the entire class in both predictions and parabolas.

The volume of the cylindrical shaped pool with water is V = 75.4 feet³

Given data ,

Let the diameter of the pool be d = 8 feet

So , radius r = 4 feet

And , the height of the cylindrical pool is h = 3 feet

Now , the water is half full

So , Volume of Cylindrical pool is V = ( 1/2 ) πr²h

V = ( 1/2 ) ( 3.14 ) ( 4 )² ( 3 )

On simplifying , we get

V = 75.4 feet³

Hence , the amount of water in pool is V = 75.4 feet³

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Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:

SAS

Step-by-step explanation:

Side:  AB ≅ BC

Angle:  ∠ABD ≅ ∠CBD

Side:  ΔABD and ΔCBD share BD, which is a side length

SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Represent the two daughters with a variable

Let the first daughter represented with y

Let the second daughter be represented with z

STEP 2: Interpret the statements in the question

STEP 2: Write out the two gotten equations

STEP 3: Make y the subject of the equation 1

STEP 4: Substitute the value for y in equation 2

STEP 5: We solve the quadratic equation to get the values of z

STEP 6: Get the age of the other daughter

Hence, the age of Mr. Thaxton's youngest daughter is 10 years

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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We can find the value of x, using the law of cosines:

Therefore:

Answer:

401 mi

Answer:

B

Step-by-step explanation:

3 power of 4 equal to 81

3 power of 2 equal to 9

81/9 = 9

Answer: B. 9

Step-by-step explanation: To convert 3 to the 4th power/ 3 to the second power, then you’ll have to figure out the whole number form of both integers. Next, you‘ll have to divide both whole numbers (81 & 9). 81 ÷ 9 =  9. So, your final answer should be B. 9.

Answer:

6p^3−7p^2+11p−6

Step-by-step explanation:

1. You would want to foil it, which means multiplying one number from each parentheses to the next parentheses, like so:

3p * 2p ^ 2 = 6p^3

3p * -p = -3p

3p * 3 = 9p

-2 * 2p^2 = -4p^2

-2 * -p = 2p

-2 * 3 = - 6

2. Now add all of the numbers we foiled together, thus getting you:

6p^3−7p^2+11p−6

Answer:

NO.

Step-by-step explanation:

The Professor's hypothesis:

An introductory course in Logic will affect college students with their other studies (will affect their Great Point Average - GPA).

25 students are used as the experimental group while the rest of the class are the control group.

The mean GPA in a sample size (SS) of 6 is = 2.58

The mean GPA in the full sample size of 25 would be = 10.75 by crossmultiplying.

This makes me believe the question was written wrongly. I assume SD (standard deviation) of 0.6 instead of SS (sample size) of 6.

Going by this, if standard deviation is 0.6 then the interval within which the GPA of the experimental group (the 25 students) falls is:

[2.58 - 0.6] to [2.58 + 0.6]

= 1.98 to 3.18

The rest of the graduating class (the control group) had a mean GPA of 2.33

Can the professor conclude that the GPA for the sample is significantly different from that of the control group?

The answer is NO because the GPA of the control group falls within the GPA interval of the experimental group!

Answer:

There are 3 angles on a straight line : WYX, WYV, VYZ

now,

given, (WYV = 6x - 12) , (VYZ = x + 16) ,

(WYX = VYZ) { They are opposite angles}

.

Sum of all the angles will be 180°

WYX + WYV + VYZ = 180°

(6x - 12) + (x + 16) + (x + 16) = 180°

6x - 12 + 2x + 32 = 180°

8x + 20 = 180°

8x = 180° - 20°

8x = 160°

x = 160°/8 = 20°

now,

put the value of 'x' in WYV i.e. (6x - 12) = (6*20 - 12) ° = (120 - 12) ° = 108°

hence, WYV = 108°

.

.

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Answer:

6.25 bags of popcorn

Answer:

6.25 Bags

or

6 whole bags

Step-by-step explanation:

= 25 * 0.25 <-- (This is how you write percentage algebraically)

= 6.25 Bags

Step-by-step explanation:

hope this will help you....

Answer:

y = -0.5

Step-by-step explanation:

Okay, slope intercept form (remember this) is y = mx+b or y = mx-b.

m is the slope, so we put -0.5 there.

The origin is the very center of the graph. Where the x and y-axis meets. Think of the x-axis and y-axis as two number lines, one vertical and one horizontal. In coordinates, the origin is (0,0) because it is the center of the graph, and 0 is the center of a number line and we have 2 number lines. So, 2 zeros.

Slope is the steepness of a line. Think of it as an uphill road (positive slope) or a downhill mountain (negative slope.)

A y-intercept is where the line FIRST meets the y-axis (vertical axis).

We don't need to write y = -0.5x + 0 or y = -0.5x - 0. Adding and subtracting zero is the same thing. We don't need to do it at all.

If you need any help with this explanation, let me know in the comments. Math is hard and I'm here to help! Also, Desmos Graphing Calculator is FREE and ONLINE! It graphs your lines for you!

Thanks, human,

- throckmorton

Answer:

The value of y=6

Step-by-step explanation:

Given that y varies directly with x

Using the formula

y ∝ x

y=kx

Where k is the constant of proportionality

In order to find 'k' use the given condition

y=8  when  x=20

y=kx

k=y/x  

 = 8/20

 = 2/5

Thus, the equation to find 'y' is

y=2/5x

when x=15 then

y=2/5(15)

 = 6

Thus, the value of y=6

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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Answer:

They should each get about 2 brownies and 1/5 of another one each.

Step-by-step explanation:

Your welcome :) If you can, look at my question and see if you figure it out pls if not just comment that you cant ¯\_(ツ)_/¯

Answer:

 2 ⅓  

Step-by-step explanation:

division is the same as a fraction

the dividend is the numerator and the divisor is the denominator

7÷3 is the same as 7/3

change 7/3 into a mixed number which is 2 ⅓  

The Dimensions of the rabbit pen that would give the greatest area are 25 inches x 25 inches and the greatest area is 625 square inches.

a) Number of fencing sections:20Each section is 10 inches long.

Total Length of fencing:20×10=200 inchesThe garage will act as one side of the rabbit pen.

The pen will have 3 sides.

Let x be the length of each of the two equal sides.

A number of sections on each of the two sides of the rabbit pen:

There are 4 equal sides.

The total length of two sides with fencing:2xLength of the fourth side:200 - 2xSince all sides are equal, we have:2x = 200 - 2xSimplifying, we get:4x = 200x = 50Number of sections on each of the two sides of the rabbit pen:50/10 = 5 sections.b) For the greatest area, the pen should be square.

Length of each side of the square = 50/2 = 25 inches

Area of the square = 25 × 25 = 625 square inches.

Hence, Jordan should put 5 sections of fencing on each of the two sides of the rabbit pen.

The dimensions of the rabbit pen that would give the greatest area are 25 inches x 25 inches and the greatest area is 625 square inches.

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Answer:

P=12

12=2(w+5)(multiply what's in the brackets with 2)

12=2w+10(take away 10 from each side)

2=2w(divide by 2 from each side)

1=w

do the same for the rest

P=14

2=w

P=16

3=w

P=18

4=w

Step-by-step explanation:

Answer:

\(w=\dfrac{P-10}{2}\)

\(\large\begin{array}{|c|c|c|c|c|}\cline{1-5}P&12&14&16&18\\\cline{1-5}w&1&2&3&4\\\cline{1-5}\end{array}\)

Step-by-step explanation:

Given dimensions of a rectangle:

Therefore, the expression for the perimeter of the rectangle is:

To solve for w in terms of P, rearrange the equation to make isolate w:

\(\implies P=2(w+5)\)

\(\implies P=2w+10\)

\(\implies P-10=2w\)

\(\implies \dfrac{P-10}{2}=w\)

\(\implies w=\dfrac{P-10}{2}\)

To create a table of values for P = 12, 14, 16 and 18, substitute these values of P into the equation for w.

\(\begin{aligned}P=12 \implies w&=\dfrac{12-10}{2}\\w&=\dfrac{2}{2}\\w&=1\end{aligned}\)

\(\begin{aligned}P=14 \implies w&=\dfrac{14-10}{2}\\w&=\dfrac{4}{2}\\w&=2\end{aligned}\)

\(\begin{aligned}P=16 \implies w&=\dfrac{16-10}{2}\\w&=\dfrac{6}{2}\\w&=3\end{aligned}\)

\(\begin{aligned}P=18 \implies w&=\dfrac{18-10}{2}\\w&=\dfrac{8}{2}\\w&=4\end{aligned}\)

Table of values

\(\large\begin{array}{|c|c|c|c|c|}\cline{1-5}P&12&14&16&18\\\cline{1-5}w&1&2&3&4\\\cline{1-5}\end{array}\)

In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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Answer:

D) 48

Step-by-step explanation:

Let s = Scott

Let j - James

s = 5

s + 43 = j  Substitute 5 for s

5 + 43 = j

48 = j

Fionna and Anuar each had 349 cards, bringing the total to 417. Fionna alone had 145 cards.

A mathematical concept known as the unitary approach entails calculating the value of a single unit in order to calculate the value of a given quantity. Finding the value of one unit and utilising that value to determine the value of a given quantity is an approach for solving problems. For instance, you can use the unitary technique to determine the price of 10 apples if you know that 5 apples cost $10. Now, divide $10 by 5, which equals $2, to determine the price of one apple. The cost of 10 apples is then determined by multiplying the price of one apple ($2) by 10, giving you a final cost of $20.

given

145 total cards with Fionna

349 total cards with Fionna and Aura

Card count with Anuar: 349 - 145

= 204

Rizza's number of cards equals 1/3 of 204.

= 204 / 3

= 68

Total number of cards: 68, 204, and 145

= 417

Fionna and Anuar each had 349 cards, bringing the total to 417. Fionna alone had 145 cards.

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Answer:

\(\displaystyle g'(s) = (s-s^4)^6\)

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
\(\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)\)

Where a is some constant.

We can let:
\(\displaystyle g(t) = (t-t^4)^6\)

By substitution:

\(\displaystyle g(s) = \int_6^s g(t)\, dt\)

Taking the derivative of both sides results in:
\(\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]\)

Hence, by the Fundamental Theorem:

\(\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\ & = (s-s^4)^6\end{aligned}\)

The required set of numbers 5, 9, 11, and 14 satisfies all the given conditions.

In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set.

a set of four whole numbers that satisfies the given conditions:

5, 9, 11, 14

To check that this set meets the requirements:

The range of the original set (12 - 4 = 8) increased by 2 to become 10 (14 - 4 = 10).

The mean of the original set ((4 + 9 + 10 + 12) / 4 = 8.75) remains the same in the new set ((5 + 9 + 11 + 14) / 4 = 8.75).

The median of the original set is 9.5 (the average of 9 and 10), and the median of the new set is 10 - 1 = 9.

Therefore, the set of numbers 5, 9, 11, and 14 satisfies all the given conditions.

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Zaire has a total of 7 holes * 4 points/hole = 28 points from scores of 4 from last week.To reach 60 points, he needs to score 4 on 60 - 28 = 32 more holes today. So, Zaire needs to score a 4 on 32 holes today.

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