How many square yards of cement are needed to create the walkway around the rectangular pool?

A:176 square yards
B:196 square yards
C:208 square yards
D:280 square yards

Answer:

(x+3)(2x+7)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (2x2 +  13x) +  21

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x2+13x+21

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +13x  its coefficient is  13 .

The last term, "the constant", is  +21

Step-1 : Multiply the coefficient of the first term by the constant   2 • 21 = 42

Step-2 : Find two factors of  42  whose sum equals the coefficient of the middle term, which is   13 .

      -42     +     -1     =     -43  

      -21     +     -2     =     -23  

      -14     +     -3     =     -17  

      -7     +     -6     =     -13  

      -6     +     -7     =     -13  

      -3     +     -14     =     -17  

      -2     +     -21     =     -23  

      -1     +     -42     =     -43  

      1     +     42     =     43  

      2     +     21     =     23  

      3     +     14     =     17  

      6     +     7     =     13     That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  6  and  7

                    2x2 + 6x + 7x + 21

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (x+3)

             Add up the last 2 terms, pulling out common factors :

                   7 • (x+3)

Step-5 : Add up the four terms of step 4 :

                   (2x+7)  •  (x+3)

            Which is the desired factorization

Final result :

 (x + 3) • (2x + 7)

- If you want this explained differently please let me know. Hope this helps!

Answer:

See the explaination

Step-by-step explanation:

Total No. of rolling each side of the 12-sided die= 12 x 12= 144 outcomes

No. of outcomes equals 10 are: (1, 9), (9, 1), (2, 8), (8, 2), (3, 7), (7, 3), (4, 6), (6, 4), (5, 5) = 9 outcomes.

No. of outcomes of rolling a No. >10: 144–9 = 135 outcomes.

Probability, Pr, of rolling a No. >10= 135/144

Pr (No. >10) = 0.9375 (to 4 dec. pl.)

Answer: I think you’re missing something on your question. But I think what your asking is how many numbers greater than 10. It should 2/12 or

Step-by-step explanation:

Answer:

A) 207 cm3

Step-by-step explanation:

9 x 23 = 207

Answer:

y = five-thirds x

Step-by-step explanation:

y = mx + b       y intercept = 0

y = 5/3 x    slope = 5/3

Answer:

The answer is A

Step-by-step explanation:

its easy pls like

Answer:

The answer is 9 hours

Step-by-step explanation:

From the initial population of 180 cells, the number grows by 8% every hour for the first 9 hours.

This represents a increased population of 108% the previous population.

108% = 108/100 = 1.08

So the new population after n hours is

180 x 1.08^n

When population is 360

360 = 180 x 1.08^n

1.08^n = 2

Take log of both sides

n x Log1.08 = Log 2

n = Log 2/Log 1.08

n = 9

Answer: (3)/(4)(3x+8), x^(2)-4, 3^(2+)x, -5(x-3)

Step-by-step explanation: Those are the right answers, trust me, this took a while.

Have a good day, brainliest wouldn't be bad :)

Answer:

(2x + 3)(x + 5)

Step-by-step explanation:

2x² + 3x + 15 = 0

(2x + 3)(x + 5)

2x + 3 = 0

2x = -3

x = -3/2

x + 5 = 0

x = -5

Answer:

(2x+3)(x+1)

Step-by-step explanation:

Porque si lo factorizas da ese resultado.

The factors of the polynomial are (2x + 3) and (x+1)

Given the quadratic equation expressed as:

2x^2+5x+3

We are to find the factors of the given quadratic function as shown:

2x^2+5x+3

2x^2+2x +3x +3

2x(x+1)+ 3(x+ 1)

(2x + 3)(x + 1)

Hence the factors of the polynomial are (2x + 3) and (x+1)

Learn more on factors of the polynomial here:https://brainly.com/question/527031

Answer:

4 chapters an hour

Step-by-step explanation:

24 / 6 = average of 4 chapters an hour

Answer:

4 chapters per hour

Step-by-step explanation:

[tex]rate \: of \: reading \\ = \frac{total \: chapters}{total \: time} \\ \\ = \frac{24}{6} \\ \\ = 4 \: chapters \: per \: hour[/tex]

Answer:

6

Step-by-step explanation:

you have to multiply it by joe mama

Answer:

1.Robert borrowed  $ 5,500.00  

2.The amount Robert would repay next year is $ 11,576.69  

3.The interest rate on the loan is 7%

Step-by-step explanation:

The interest on the loan can be computed using compound annual growth

rate

CAGR=(EB/BB)^1/n-1

EB is ending balance of $8831.80 in year7

BB is the balance of year 5  $7714.03

n=7-5=2

CAGR=(8831.8/7714.03)^(1/2)-1

CAGR==1.070000427-1

CAGR=0.070000427

CAGR=7%

The amount borrowed can be computed using the PV formula

At year 0 year 5 amount of $7714.03 is the future value

rate of interest is 7%

number of years is 5

PV=$7714.03*(1+7%)^-5

PV=$ 5,500.00  

The amount Robert would pay next year is :

FV=$10,819.338(1+7%)^1

FV=$ 11,576.69  

Answer:

1182 mg  to the nearest mg.

Step-by-step explanation:

22% is equivalent to 260 mg sodium, so

100% is equivalent to  260 * (100/22)

= 1181.82 mg.

what is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Examples of percentages are:

10% is equal to 1/10 fraction

20% is equivalent to ⅕ fraction

25% is equivalent to ¼ fraction

50% is equivalent to ½ fraction

75% is equivalent to ¾ fraction

90% is equivalent to 9/10 fraction

Given,

Dave determines the meal he ordered at the restaurant contains 22% of his daily sodium intake

Meal contains 260 mg of sodium

22% is equivalent to 260 mg sodium, so

100% is equivalent to  260 x ([tex]\frac{100}{22}[/tex])

= 1181.82 mg.

22% is equivalent to 260 mg sodium, so

100% is equivalent to  260 * (100/22)

= 1181.82 mg.

Learn more about percentage here:

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Step-by-step explanation:

This is a cube

Formula surface area of a cube = s2 × 6

Where s is one side

Square of 8 = 64

64 × 6 = 384

Answer:

x = -16

Step-by-step explanation:

x + 7 = -9

x = -9 - 7

x = -16

Answer:

X=-16

Step-by-step explanation:

If you add -16 Then add a positive 7 you will end up with a -9

Have a great day

Answer:

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

hope this helps you....

Answer:

x = y-4

        7

Step-by-step explanation:

y = 7x + 4

y- 4 = 7x

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

Answer:

The distance that represents it is 651.9 m.

Step-by-step explanation:

In order to calculate the distance that the wheel travelled we need to find the length of the circumference of the wheel. This is given by the following formula:

length = 2*pi*r = pi*d

Since the diameter of the wheel is 0.6 m we can find the length of the wheel that is:

length = 3.14*0.6 = 1.884 m

The wheel made 346 full turns, that means that the total distance is the number of turns multiplied by the length of the wheel.

distance = 346*1.884 = 651.9 m

The distance that represents it is 651.9 m.

Answer:

B

Step-by-step explanation:

Answer:

Dimension of the Rectangle : 2W - 150 by W

Step-by-step explanation:

Given

Land Size = 150 metres

This land size represents the perimeter of the land

Let P = Perimeter

So, P = 150 m

To bisect the field into two equal halves means to divide length or width of the field into two equal halves

Let L = Length of the field

Let W = Width of the field

Assuming the length of the field is to be bisected., then the campground owner is left with 0.5L (i,e half of the length)

Perimeter of a rectangle is calculated by: 2(Length + Width)

P = 2(L + W) by substitution, becomes

150 = 2(0.5L + W) ----open bracket

150 = L + 2W ---- Male L the subject the formula

L = 2W - 150

The dimension of the largest area that can be enclosed id given by (L,W)

By substitution; the expression becomes

Dimension of the Rectangle : 2W - 150 by W

Answer:

when x=1, y=6. etc.

Step-by-step explanation:

x       y

1       6

2      7

3      8

4      9

Answer:

u have the answer tho right

Step-by-step explanation:

In mathematical terms, a whole pie is considered as 1 (or 1/1). If half (1/2) of it is eaten, what remains is the other half (1/2). So, the fraction that remains of the pie is 1/2.

When we talk about a pie in mathematics, we usually refer to it as a whole. If you've eaten half of the pie, essentially, you've consumed 1/2 of the pie. If that amount is subtracted from the whole pie (which is always considered as 1 or 1/1), what remains is the other half of the pie. Meaning, if you subtract 1/2 from 1 (or 1/1), you're left with 1/2 of the pie. Hence, if half of the pie is eaten, the fraction that remains is 1/2.

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Answer:

D) 69.1 ft

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Answer:

a) reject H0

Step-by-step explanation:

The null and alternative hypotheses:

H0: the relative risk for moderate beer drinkers as compared to nondrinkers = 1

Ha: the relative risk for moderate beer drinkers as compared to nondrinkers ≠ 1

The level of significance, α = 0.1

Since the confidence interval for the relative risk of hypertension in moderate beer drinkers as compared to nondrinkers (0.47 to 0.90) does not contain the relative risk of 1,  the null hypothesis will be rejected at the specified level of significance, 0.1. Therefore, the conclusion is to reject H0.

Answer:

f(-9)= 243

Step-by-step explanation:

f(x) = 4x²+7x -18

f(-9) = 4(-9)²+7(-9)-18

= 4(81) -63-18

= 324- 81

= 243

Answer:279

Step-by-step explanation:

Bc

1. baseball + basketball = 240

2. tennisball + soccerball = 500

3. soccerball - basketball + tennisball = 455

4. baseball + tennisball = 215

Subtract 1 from 4

5. tennisball - basketball = -25

Rearrange 3

6. soccerball + tennisball - basketball = 455

Substitute 5 into 6

7. soccerball - 25 = 455

Solve

soccerball = 480

Answer:

.049 (2sf)

Step-by-step explanation:

[tex] \frac{2}{9} \times \frac{2}{9} = 0.4938[/tex]

Answer & explanation:

The correct answer is 4/81. The probability of each marble drawn being brown is 2/9 because there are two brown marbles in a bag of nine total marbles. So, the probability that both marbles drawn will be brown is 2/9 times 2/9 or 4/81!

Answer:

N78

Step-by-step explanation:

The explanation is in the picture

please rate and mark as brainliest

Final answer:

To find the volume of the cylinder with a given radius of 10 units and height of 13 units, we use the formula V = πr²h, which yields an approximate volume of 4085.48 cubic units using π as 3.1416. The nearest given option is C (1300 cubic units), although the calculated volume does not exactly match any of the provided choices.

Explanation:

To calculate the volume of a cylinder, we use the formula V = πr²h, where V represents the volume, r is the radius, and h is the height of the cylinder. Given the radius r as 10 units and the height x (which likely represents the height h in this context) as 13 units, we plug these values into the formula:

V = π(10²)(13) = π(100)(13) = 1300π cubic units.

Since π is approximately 3.1416, the volume is approximately:

V ≈ 1300(3.1416) ≈ 4085.48 cubic units.

As none of the multiple-choice options provided exactly match this calculated volume, this could indicate a typo or error in the question or options. However, if we use a rounded value of π as 3.14, then:

V ≈ 1300(3.14) ≈ 4082 cubic units.

The closest match to this calculated volume is option C (1300 cubic units). However, the student should verify the precision of π used in their classroom or the context of the question to ensure this match is consistent with their requirements.

Answer:

70 adults

Step-by-step explanation:

because there is 70 adults and 50 kids

Answer:

11

Step-by-step explanation:

|-7|+|-4|

-|-7|-|-4|

Answer 11

Answer:

11

Step-by-step explanation:

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