the equations are
A. y=5/3 x -5
B. y=3/5 x -5
C. y=5/3 x +5
D. y=3/5 x +5

Answer:

x = 65

Step-by-step explanation:

To solve the equation, we write it in radical form:

[tex]5\, \sqrt[3]{x-1} = 20[/tex]

Then, we divide both sides by 5 to isolate the root:

[tex]\sqrt[3]{x-1} = \frac{20}{5} \\\sqrt[3]{x-1} =4[/tex]

and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:

[tex]x-1=4^3\\x-1=64[/tex]

now we add 1 to both sides to isolate x:

x = 65

Answer:

8 quarts

Step-by-step explanation:

Step One: Figure out how much 40% is by making an equation:

Since we are looking for a percentage, we use cross multiplication to find X.

[tex]\frac{x}{20} = \frac{40}{100}[/tex]

Step Two: multiply 20 by 40 to start cross multiplying:

20 times 40 is 800, so replace the 40 by 800 in the equation.

[tex]\frac{x}{20} = \frac{800}{100}[/tex]

Step Three: divide 800 by 100, and we will have X:

800/100=8

X=8 aka 8 quarts

I hope this helps!

pls give thx and brainliest :D

Answer:

74%->91.22

100%-> 123.27(estimated)

The total amount of the utility bill will be $123.2.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that on a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74% of the total bill.

The total amount will be calculated as below:-

74% ⇒ $91.22

1% ⇒ 91.22 / 74

100% ⇒ ( 91.22 x 100 ) / 74

100% ⇒ $123.27

Therefore, the total amount of the utility bill will be $123.2.

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Answer:

The angle of elevation of the pile is 30°

Step-by-step explanation:

Given that;

Height = 15 ft

Diameter = 52 ft

so radius r = D/2 = 52/2 = 26 ft

Now, to get the angle of elevation.

given the details in the question,

we can say; the given height is the opposite which is 15 ft.

Also the radius is adjacent which is 26 ft

using SOH CAH TOA

TOA; Tan = Opposite / Adjacent

so

tan∅ = 15 ft / 26 ft

tan∅ = 0.5769

∅ = tan⁻¹( 0.5769 )

∅ = 29.98° ≈ 30°

Therefore, The angle of elevation of the pile is 30°

Answer:

[tex](x+12)^2+(y-5)^2=80[/tex]

Step-by-step explanation:

First, we see that the center of the circle is (-12, 5) by taking the midpoint of the circle. Secondly, the length of diameter is [tex]\sqrt{4^2+8^2}=\sqrt{80}[/tex].

The equation of a circle with diameter endpoints of (-14,1) and (-10,9) are;

(x+1)²+(y-4)²=348.

The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.

Find the distance AB

d=√[(9 + 14)²+(-10 - 1)²]

d=√[576+121]

d=√697 units

The diameter=√697 units

r=√697/2  unit

Thus, the center of the circle is (-1,4)

Hence, the equation of a circle

(x-h)²+(y-k)²=r²

(x+1)²+(y-4)²=(√697/2)²

(x+1)²+(y-4)²=348

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Answer:

35.56 (rounded to nearest hundredth)

Step-by-step explanation:

1.8x = 64

x= 64/1.8

x = 35.56

Answer:

CD = 8 cm

Step-by-step explanation:

Given

See attachment

[tex]AE=6 cm,\ ED=4 cm,\ AB=4.5 cm,\ BE=4.8 cm.[/tex]

Required

Find CD

To calculate CD, we first calculate BC using the following equivalent ratio

[tex]AB : BC = AE:ED[/tex]

Substitute values for AB, AE and ED

[tex]4.5 : BC = 6 : 4[/tex]

Express as fraction

[tex]\frac{4.5 }{ BC} = \frac{6 }{ 4}[/tex]

Cross Multiply

[tex]BC * 6 = 4.5 * 4[/tex]

[tex]BC * 6 = 18[/tex]

Divide through by 6

[tex]BC = 3[/tex]

To calculate CD,

We make use of the following equivalent ratio

[tex]AB : BE = AC : CD[/tex]

Where

[tex]AC = AB + BC[/tex]

[tex]AC = 4.5 + 3[/tex]

[tex]AC = 7.5[/tex]

So, we have:

[tex]AB : BE = AC : CD[/tex]

[tex]4.5 : 4.8 = 7.5 : CD[/tex]

Express as fraction

[tex]\frac{4.5 }{ 4.8 }= \frac{7.5 }{ CD}[/tex]

Cross Multiply

[tex]4.5 * CD = 7.5 * 4.8[/tex]

Divide through by 4.5

[tex]CD = \frac{7.5 * 4.8}{4.5}[/tex]

[tex]CD = \frac{36}{4.5}[/tex]

[tex]CD = 8[/tex]

Answer:

The chance that the usual language in that household will NOT be English = 0.4

Step-by-step explanation:

As given ,

Total households in which languages spoken is English = 180

Total households in which languages spoken is Spanish = 80

Total households in which languages spoken is other than English or Spanish  = 40

So,

Total households = 180 + 80 + 40 = 300

Now,

Household in which English language is not spoken = 80 + 40 = 120

So,

The chances that the usual language in that household will NOT be English = [tex]\frac{120}{300} = \frac{12}{30} = \frac{4}{10} = 0.4[/tex]

∴ we get

The chance that the usual language in that household will NOT be English = 0.4

Hello! Your answer would be B, 3,504

Explanation:

So it states that a car loses a quarter of its value every year and it ask us to find in 9 years, A quarter is actually 25%, so we would have to divide 35,000 with 25 to find the first year.

Final Result: B

the graph would go up 45$ per hour of work if she is charging a per hour rate

Step-by-step explanation:

becouse she charges 630$ per 14 hours you would do 630÷14 which =45$

the 45 represents the hourly rate

the graph should spike every hour mark.

Answer:

The length of QR to the nearest tenth of a foot is 287.28 feet.

Step-by-step explanation:

Let a right angled Triangle QRS have base SQ, perpendicular RS and Hypotenuse QR.

∠S = 90°

∠Q = 17°

Perpendicular = 84 ft

We know that for a right angle triangle

SinΘ = perpendicular/Hypotenuse

Sin ∠Q = 84/QR

QR = 84/sin(17°)

QR = 84/0.2924

QR = 287.2777

QR = 287.28 feet

The cosine rule is used to determine the length of side q. Then the length of side q is 5.34 inches.

Trigonometry deals with the relationship between the sides and angles of a triangle.

In ΔQRS, r = 5.1 inches, s = 2.4 inches and ∠Q=26°.

Then the length of q will be given by the cosine rule.

[tex]\rm q = \sqrt{r^2 + s^2 - 2rs \cos Q}\\\\q = \sqrt{5.1^2 + 2.4^2 - 2 \times 5.1 \times 2.4 \cos 26^o}\\\\q = \sqrt{26.01 + 5.76 - 24.48 \times 0.89879}\\\\q = \sqrt{50.49 - 22}\\\\q = \sqrt{28.49}\\\\q = 5.34 \ inches[/tex]

The length of the q is 5.34 inches.

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Answer:

the common demonator is 8.

Step-by-step explanation:

Answer:

[tex]y =\frac{1}{2}x -4[/tex]

Step-by-step explanation:

m = (1/2)  ; (2 , -3)

y -y1 = m(x - x1)

[tex]y - [-3] = \frac{1}{2}(x - 2)\\\\y + 3 = \frac{1}{2}x - 2 *\frac{1}{2}\\\\y + 3 = \frac{1}{2}x -1\\\\y = \frac{1}{2}x - 1 - 3\\y =\frac{1}{2}x -4[/tex]

0

1

2

3

4

5

take x 1 so 1-1

2-1..........

Answer:

Just look down lol

Step-by-step explanation:

Anyways, what you would have to do on both sides is try to isolate x on each side, so for the first inequality, you would add 3 on both sides, x[tex]\leq[/tex]8, and for the other equation you would subtract 4 on both sides, so x[tex]\geq[/tex]10

I actually hope this helps

3.865in^2

It's (the area of the square minus the area of the circle) divided by 2.

So, Area of the square is 6x6=36

Area of the circle is (pi)*(radius=3)^2=28.27

36-28.27=7.73

7.73/2=3.865in^2

Answer:

2,400 miles

Step-by-step explanation:

Distance = Speed x Time

Distance = 600 miles / hour x 4 hours

Distance = 2,400 miles

If you are looking for speed, use distance over time and if time, distance divided by speed.

Answer:

The cost of one ticket would be $2.5, the equation I believe is 9x + 13.50 = 36.

Step-by-step explanation:

I hope this helps.

Answer:

C. 6,900 ft^2

Step-by-step explanation:

Given the following data;

Base of triangle = 120 feet.

Height = 115 feet.

To find the area of triangle;

Area of triangle = ½*base*height

Area of triangle = ½*120*115

Area of triangle = 60*115

Area of triangle = 6900ft²

Therefore, the area of the park is 6900 square feet.

Answer:

P(A, B or C) = 6/7 or 0.8571

Step-by-step explanation:

From the image, we have the frequency for each grade as;

Grade A = 5

Grade B = 10

Grade C = 15

Grade D = 3

Grade F = 2

We want to find the probability that a student earns a grade of A, B or C.

Total frequency for A, B & C = 5 + 10 + 15 = 30

There are a total of 35 students overall for the geometry course.

Thus;

P(A, B or C) = 30/35

P(A, B or C) = 6/7 or 0.8571

Answer:

Step-by-step explanation:

Total frequency for A, B & C = 5 + 10 + 15 = 30

There are a total of 35 students overall for the geometry course.

P(A, B or C) = 30/35

P(A, B or C) = 6/7 or 0.8571

now we round to the hundredths place

0.8571 ⇒ 0.86

Answer:

3.51% probability that this fund-raising event is a success

Step-by-step explanation:

In a set with mean  and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Answer:

there are 6 more girls than boys

Step-by-step explanation:

i hope this is right good luck!:)

Answer:

0.0625 Days

Step-by-step explanation:

For 1 day Erin uses 1 3/8

1 day consumption is 11/8

11/2 bags of oranges would take

11/2 divided by 11/8

Answer:

$100

Step-by-step explanation:

We know that the total cost was $110 and that the phone is $100 more than the case. With this, we can figure out how much the case is, and use that information to find the price of the phone.

Case price = total price - 100

= 110 - 100

Case price = 10

Now that we know that the case price is $10, we can figure out the phone's price.

Phone price = total price - case price

= 110 - 10

= 100

The phone costs $100

Answer:

Step-by-step explanation:

a). Since, 20% of the total diagram is represented by one fifth part of the total length.

Therefore, by adding all parts we will get 100% weight of the adult puppy.

20% of the part = 9 pounds

So the total weight of the adult puppy = 9 + 9 + 9 + 9 + 9

                                                         = 45 pounds

b). Weight of the puppy =  9 pounds

    Weight of a adult = 45 pounds

    Therefore, fraction that represents the weight of the puppy as compared to the weight of an adult = [tex]\frac{9}{45}[/tex]

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

Answer:

Question 1 Answer: The adult weight will be 45 pounds.

Question 2 Answer: The puppy is ⅕ of its adult weight.

Step-by-step explanation:

Q1- Why is the answer: because there are 5 9's and 5 ⋅ 9 = 45.

Q2-why is the answer : because the whole is divided into 5 pieces of equal length.

Hope this helps!

Answer:

Step-by-step explanation:

The pie chart will show that Claire spent about 33.3% of her time sleeping.

Pie chart will show that Claire spent about 33.3% of her time sleeping, The pie chart will have five sections, Twenty-four hours will be equivalent to 100% in the pie chart.

The "pie chart," which divides the circular statistical graphic into sectors or sections to illustrate the numerical problems, is also known as a "circle chart." A proportionate portion of the total is denoted by each sector. At that point, the pie chart is the most effective method for determining something's composition.

Given 24 hours schedule of Clair in which,

school time is 8 hours, playing time is 4 hours, homework time is 2 hours, sleeping time is 8 hours and chores time is 2 hours.

if we calculate total time in percentage than 24 hours will be equal to 100%

and their will be 5 sections in chart,

equivalent time for school in percent is 100/24 x 8 =33.33%

equivalent time for sleeping in percent is 100/24 x 8 =33.33%

equivalent time for homework in percent is 100/24 x 2 = 8.33%

equivalent time for chores in percent is 100/24 x 2 = 8.33%

equivalent time for playing in percent is 100/24 x 4 = 16.66%

Hence the pie chart will have 5 sections and sleeping time will be 33.33%.

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Answer:0.011

Step-by-step explanation:

The probability for exact 4 chickens being infected out of the 7 is ⁷C₄(0.15)⁴(0.85)³. The correct option is (A).

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Given that,

The probability of the infected chicken is 15%.

Which can be written as,

P(infected) = 15%

                  = 15/100

                  = 0.15

Then, the probability of not getting infected chicken is,

P(not infected) = 1 - 0.15

                        = 0.85

The total number of chicken for test = 7.

Now, in order to find the probability of the exact 4 infected chickens, binomial distribution can be used as.

The general expression for binomial distribution is ⁿCₓpˣqⁿ⁻ˣ.

For the given case p = P(infected) and q = P(not infected), n = 7 and x = 4.

Thus, the probability is given as,

P(Exact 4 are infected) = ⁷C₄(0.15)⁴(0.85)³

Hence, the  probability that exactly 4 of the 7 chickens sampled have the virus is  ⁷C₄(0.15)⁴(0.85)³.

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The complete question is given as, "Salim has flock of 300 chickens, 15% of which are infected with virus: He plans on taking an SRS of 7 chickens to test for the virus_ Which of the following would find the probability that exactly 4 of the 7 chickens sampled have the virus? Choose answer: 1(0.15) '(0.85)? (0.15)*(0.85)4 300 ` (0.15)'(0.85)3 (0.15)3(0.85)4 (0.15)4(0.85)".