Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which answer gives the best estimate for the number of books Robyn can buy?

Answer:

C

Step-by-step explanation:

Answer:

17, 2, 2

Reasoning/Work:

Answer:

D. 5x + 5

Step-by-step explanation:

(9x2 + 10x + 4) − (9x2 + 5x − 1) =

Remove the first set of parentheses since they are unnecessary.

To remove the second set of parentheses, change every sign inside.

= 9x2 + 10x + 4 − 9x2 - 5x + 1

Combine like terms.

= 5x + 5

Answer: D. 5x + 5

The simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1)  is 5x+5 option (D) is correct.

Any equation of the form [tex]\rm ax^2 +bx+c= 0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

[tex]=\rm (9x^2 + 10x + 4) - (9x^2 + 5x- 1)[/tex]

[tex]=\rm 9x^2 + 10x + 4 - 9x^2 - 5x+ 1)\\\\= 5x+5[/tex]

Thus, the simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1)  is 5x+5 option (D) is correct.

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Answer:

See below

Step-by-step explanation:

x² + 8x + 15 = 0

x² + 5x + 3x + 15 = 0

x x (x + 5) + 3x + 15 = 0

xx (x + 5) +3 (x + 5) = 0

(x + 5) × (x + 3) = 0 → x + 5 = 0       x + 3 = 0

x = -5

x + 3 = 0

x = -5

x = -3

x1 = -5

x2 = -3

Hope this helped ! :)

Answer:

58000 x 15= 87000

Step-by-step explanation:

you just have to multiply it by 15

Answer:

667000

Step-by-step explanation:

Have to find what 15% of 580000 is first:

580000 x 0.15 (15% as decimal --> divide by 100) = 87000

Next add what 15% of 580000 is to 580000:

580000  + 87000 = 667000

Answer: 3.5

Step-by-step explanation:

Answer:

When they create 3.44 products and make a revenue of $76.027, they will break even.

Step-by-step explanation:

To do this, simply graph the 2 equation in a graphing calculator and analyze the graph for where the 2 graphs intersect. Discard the negative intersection because we cannot have a negative production. You should see that your intersection point is (3.441, 76.027).

Answer:

C. y=2x-48

Step-by-step explanation:

A. y=48x−2

B. y=48x+2

C. y=2x−48

D. y=2x+48

Profit per hotdog=$2

Quantity=x

Cost of hotdog, buns and mustard=$48

Find the equation profit earned by the hotdog stand for x hot dog sold

Total Profit(y)=(units profits*quantity)-cost

=$2*x-$48

y=2x-48

Answer:

C. y=2x−48

Step-by-step explanation:

did it on edge 2020

Answer:

(0,5)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

y=x^2 + 3x + 5

y=(0)^2 + 3(0) +5

y=0+0+5

y=5

Since there is no x coordinate for a y-intercept, the answer is (0,5)

Answer:

A. (0, -5) is the right answer on edge 2021

Answer:

12

25

Step-by-step explanation:

Answer:

The speed of the car engine is 15.4m/s

Step-by-step explanation:

Given

Power = 2100; when Speed = 15

Required

Find Speed when Power = 2200

The question says power is proportional to square of speed;

Mathematically;

[tex]Power\ \alpha \ Speed^2[/tex]

Represent Power with P and Speed with S

[tex]P\ \alpha \ S^2[/tex]

Convert proportion to an equation

[tex]P\ = \ kS^2[/tex]

Where k is proportionality constant

Make k the subject of formula

[tex]\frac{P}{S^2} = k[/tex]

When P = 2100 and S = 15

[tex]\frac{2100}{15^2} = k[/tex]

When P = 2200 and S is unknown

[tex]\frac{2200}{S^2} = k[/tex]

Recall that [tex]\frac{2100}{15^2} = k[/tex]

So;

[tex]\frac{2200}{S^2} = k[/tex] becomes

[tex]\frac{2200}{S^2} = \frac{2100}{15^2}[/tex]

Cross Multiply

[tex]S^2 * 2100 = 2200 * 15^2[/tex]

[tex]S^2 * 2100 = 2200 * 225[/tex]

[tex]S^2 * 2100 = 495000[/tex]

Divide both sides by 2100

[tex]S^2 = \frac{495000}{2100}[/tex]

[tex]S^2 =235.714285714[/tex]

Take Square Roots of both sides

[tex]S = \sqrt{235.714285714}[/tex]

[tex]S =15.3529894716[/tex]

[tex]S = 15.4[/tex] (Approximated)

Answer:

L/2

Step-by-step explanation:

If the width is half of its length, that means it is 1/2*L, as L is the length. This can be simplified into L/2, which is our answer.

Answer:L/2

Step-by-step explanation: The length is represented as L. So half the lenght is 1/2L which can also be represented as L/2. So the width is represented as L/2

Answer:

3

Step-by-step explanation:

The Absolute value of -3 is 3 because it's the distance away from 0. Both have the same distance away from 0.

The opposite number of the integer number negative 3 will be 3.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The number that produces zero when multiplied by an is known as the additive inverse of a number, or a, in arithmetic. The opposite, a shift in the sign, and negation are other names for this number.

The number is given below.

⇒ - 3

The opposite of the number negative 3 will be given as,

⇒ - (-3)

⇒ 3

The opposite number of the integer number negative 3 will be 3.

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Answer: 14 cm

Step-by-step explanation:

let's total length = h

white = 1/4h

remain = h - 1/4h

=3/4h

blue = 1/2 of remaining

=1/2 of 3/4h

=3/8h

remain part black = 3/4h - 3/8h

=3/8h

according to the question

3/8h = 5 1/4 cm

h = 14 cm

length of the pipe is 14 cm

Answer:

The length of the pipe is 14.

Solution,

Let the total length be X cm

[tex]x - \frac{x}{4} -{ (x - \frac{x}{4} ) \times \frac{1}{2}} = 5 \frac{1}{4} \\ x - \frac{x}{4} - \frac{x}{2} + \frac{x}{8} = \frac{21}{4} \\ \frac{8x - 2x - 4x + x}{8} = \frac{21}{4} \\ \frac{3x}{8} = \frac{21}{4} \\ 3x \times 4 = 21 \times 8 \\ 12x = 168 \\ x = \frac{168}{12} \\ x = 14[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

He could put the first card he removed into his pocket

Step-by-step explanation:

With regards to the above, he could put the first card he removed into his pocket so that the amount of card he has to draw the second time will be affected hence make it dependent.

Take for instance, there are 52 cards in total, if he picks the first card and did not replace it, then the probability of taking second card will be 50/51 since the total cards left in the deck is now 51.

Keeping the card out of the deck can be done to ensure that the events are dependent.

Probability is a measure of the likeliness of an event to occur and it is measured between 0 to 1 , where 0 represents unlikeliness of the event and 1 represents certainty.

It is given in the question that he would have to keep the first card out of the deck before removing the second card.

Two events are dependent if the probability of one event changes based on the result of the other.

To be clear, an action on its own (like drawing a card) is not an event. An event is a possible outcome (or set of outcomes) we could observe.

Since we assume all 52 cards have an equal chance of being drawn on the first pick (that being 152), the only way to change this probability for the second pick is to keep the first card out of the deck.

This reduces the size of the deck to 51, meaning each remaining card has a 51 chance of being picked—except for the card he drew first, which now has a 0% chance of being drawn again.

Therefore keeping the card out of the deck can be done to ensure that the events are dependent.

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Answer:

In January

she used 3/5 of what she used in February.

In February she used 2/3 litres of oil.

So it is 3/5 of 2/3 to find what amount she used in January.

3/5 × 2/3 = 6/15

If we simplify 6/15 we find 2/5 as our answer.

So our answer is 2/5 litres.

Answer:

Step-by-step explanation:

The claim being tested is that p not equals ≠ 0.877

A) This is the alternative hypothesis and it is a two tailed test. It means that it can be in either direction.

B)Given that z = 2.94, the p value would be determined from the normal distribution table. Since the curve is symmetrical and it is a two tailed test, the p for the left tail and the right tail would be considered. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area above the test z score in the right tail is 1 - 0.998 = 0.002

We would double this area to include the area in the left tail of z = - 2.94 Thus

p = 0.002 × 2 = 0.004

C) Since alpha, 0.01 > than the p value, 0.004, then we would reject the null hypothesis, H0

Answer:

b

Step-by-step explanation:

Answer:

B) (x + 1)2 + (y + 2)2 = 25

Step-by-step explanation:

Answer:

a) x+3=19

Step-by-step explanation:

a)

x is the age of Ronald , Collin is three years older than Ronald , so if we add up x(Ronald's age) and 3(the difference between both of their ages), we would get Collin's age(19) . That is the explanation for this equation.

b)

x+3=19

x=19-3

x=16

thus , x is 16 , in other words , Ronald's age is 16.

Answer:

26

Step-by-step explanation:

Answer:

Its 26

Step-by-step explanation:

Correct on edg. 2021

Answer:

k = 6

Step-by-step explanation:

Step 1: Find slope m

m = (4 - 8)/(-10 - 6)

m = -4/-16

m = 1/4

y = 1/4x + b

Step 2: Find b

4 = 1/4(-10) + b

4 = -5/2 + b

b = 13/2

Step 3: Rewrite equation

y = 1/4x + 13/2

Step 4: Find k

y = 1/4(-2) + 13/2

y = -1/2 + 13/2

y = 12/2

y = 6

Answer: 6

Step-by-step explanation:

As you move left to right on the x-coordinate, your y value is increasing. If you notice, the x values are increasing by eight at a time. So, if you take the value in between 4 and 8, you get your answer, which is 6.

Answer:

1386 in³

Step-by-step explanation:

Volume of the composite cone = volume of a hemisphere + volume of a cone

=>Find the volume of cone

Volume of cone = ⅓πr²h

π = 3.142

r = 7 in

h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]

h = √(225 - 49)

h = √176 ≈ 13 in

Volume of cone = ⅓*3.142*7²*13

= ⅓*2001.454 ≈ 667 in³

=>Find volume of hemisphere.

Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³

π = 3.142

r = 7 in

Volume = ⅔*3.142*7³ ≈ 719 in³

Volume of composite figure = 667+719 = 1386 in³

Answer:

120 flags

Step-by-step explanation:

Given that:

The flag of country Perralia has to contain three differently-colored stripes of the same width, r = 3 stripes

all of which must be positioned either vertically or horizontally =  2

If the flag of Perralia must consist of the national colors, which include green, red, yellow, black, and blue. So the number  of color n = 5 colors

The objective is to determine how many different flags can be created.

Let us recall that;the arrangement of objects taking into account the different orders or arrangement is called permutation.

The same is applicable in this scenario as well.

The number of flags that can be created can be determined by considering the permutation of :

[tex]P_r = \dfrac{n!}{(n-r)!}[/tex]

[tex]P_r = \dfrac{5!}{(5-3)!}[/tex]

[tex]P_r = \dfrac{5!}{(2)!}[/tex]

[tex]P_r = \dfrac{5 \times 4 \times 3 \times 2!}{(2)!}[/tex]

[tex]P_r = {5 \times 4 \times 3[/tex]

[tex]P_r = 60[/tex]

However, Since all of the must be positioned either vertically or horizontally =  2

Then the total number pf flags that be created = 2 × 60 = 120 flags

Answer:

first one

Step-by-step explanation:

Tracey bought 10 movies

some cost 13 and the others 16

Let x be the movies that cost 13 and y ones that cost 16

we can state that

since Tracey both ten

since the total price is 139

so the system is :

[tex]\left \{ {{13x+16y=139} \atop {x+y=10}} \right.[/tex]

Answer:

b.

(a) 676,000,000

(b) 98,280,000.

Step-by-step explanation:

If no repetition the number of possible outcomes is:

26P2 * 10P6

= 650 * 151200

= 98,280,000.

If repetitions are allowed it is:

(650 + 26) * 10^6

= 676 * 1,000,000

= 676,000,000.

Answer: D. 95%

Step-by-step explanation: If the difference of the scores given is 5 above and below the mean, that represents 2 standard deviations.

In normal distribution, 2 standard deviations above and below the mean represent 95% of all the inputs.

Answer:

solution,

[tex]x = \frac{far \: arc - near \: arc}{2} \\ \: \: \: \: = \frac{250 - (360 - 250)}{2} \\ \: \: \: \: \: = \frac{250 - 110}{2} \\ \: \: = \frac{140}{2} \\ \: \: = 70[/tex]

Hope this helps..

Good luck on your assignment

Answer:

12 years old

Step-by-step explanation:

Let's call Sydney's age x and Sam's age 2x. We can write:

x + 2x = 36

3x = 36

x = 12 so the answer is 12 years old.

Answer:

Step-by-step explanation:

Consecutive angles cut by a common transversal are supplementary. That means that

x + 87 =180             Subtract 87 from both sides.

x+87-87=180-87

x = 93

Answer:

F. cylinder

Step-by-step explanation:

A cylinder has a circle for its base, which has no vertices and is not a polygon. This, therefore, disqualifies a cylinder as a polyhedron.