[x-2]/4=[3x-7]/10 its x-2 dived by 4 not 2/4 same with other side

Answers

Answer 1

Answer:

x = 4

Step-by-step explanation:

Given

[tex]\frac{x-2}{4}[/tex] = [tex]\frac{3x-7}{10}[/tex] ( cross- multiply )

4(3x - 7) = 10(x - 2) ← distribute parenthesis on both sides )

12x - 28 = 10x - 20 ( subtract 10x from both sides )

2x - 28 = - 20 ( add 28 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4


Related Questions

Write an equation of the line that passes through (0, 8) and (6, 8).

Answers

Answer:

y = 8

Step-by-step explanation:

Both of the points have the same y, which is 8, meaning that if the line passed through both of those points, then it has to be horizontal, meaning the equation is y = 8   Also, there is no x in the equation because the slope is 0.

Sails come in many shapes and sizes. The sail on the right is a triangle. Is it a right triangle? Explain your reasoning.

Answers

Answer:

not a right triangle

Step-by-step explanation:

you can use the pythagorean theorem to prove whether not this is a right triangle

if this triangle is a right triangle then the following equality should be true

a²+b²=c²

(9.75)²+(3.45)²=(10.24)²

(95.06)+(11.90)=(104.86)

106.96≠104.86

since the following equality is not true, this is not a right triangle.

Choose the correct classifacation of 4x^4-4x^3+10x^6​

Answers

Answer:what’s classification

Step-by-step explanation:

CAN SOMEONE HELP ME PLEASE

Answers

Answer: 9 x 6 x 6

Step-by-step explanation: 9 x 6=54  54 x 6 = 324 ft

Tim is making 30 sundaes with mint, chocolate, and vanilla ice cream.
1/5
of the sundaes are mint ice cream and
1/2
of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

12 sundaes will be vanilla can i please have brainliest

Answer:

12

Step-by-step explanation:

1/5 mint = 6

30 - 6 = 24

Half of 24 is 12

12 is chocolate

so 12 must be vanilla

2. A cow gives 24litre milk each day. If the milkman sells 75% of the milk, how many
liters of milk is left with him?​

Answers

Answer: 6 liters

Step-by-step explanation:

24 liters

He sells 75%

24 x 0.75 = 18 liters

24 - 18 = 6

He still has 6 liters left

Classify a triangle with sides measuring 5, 7 and 8.

Answers

Answer:

Scalene

Step-by-step explanation:

Because all 3 sides have different length.

When all 3 sides have the same length: equilateral

When 2 sides have the same length but the 3rd side has a different length: isosceles

When all 3 sides have different length: scalene


What is the solution to the equation below?
4x+8 = 2(x - 4)
A x = -5
B x = 6
Cx = -8
D x = -4

Answers

Answer:

C

Step-by-step explanation:

4x +8 = 2x -8

4x = 2x - 16

2x = -16

x = -8

8. Which equation is true for all x- and y- values in the table below?

x y
1 7
2 14
3 21
4 28
(1 point)
y = x + 7
y = x – 7
y = x over seven
y = 7x

Answers

Answer:

y = 7x

Step-by-step explanation:

you mutiply 7 times 1=7

you just continue to do that

the school choir has 110 members there are 20 more girls than boys there are how many boys the choir

Answers

Answer:

65 girls and 45 boys

Step-by-step explanation:

P(x) = x2 + x +1
How many terms does this polynomial have?

Answers

Answer:

3

Step-by-step explanation:

I need a little more help. Sorry for the spam questions.

Answers

perimeter is 28 and area is 32

A pump fills a pool at a constant rate. At the end of 1 minute it has filled 6 gallons of water. Which table represents the relationship between the number of minutes and the number of gallons of water in the pool?​

Answers

Answer:

I would need to see the different tables to answer this question.

What is the solution to the equation x + 11 = 57? (Input a whole number only.)

Answers

Answer:

46

Step-by-step explanation:

Answer:

x=46

Step-by-step explanation:

Ajjwjjwjwjwjsbsbaa shah sash’s

Answers

Answer:

okay then

Step-by-step explanation:

Answer: gtyrehretr

Step-by-step explanation:

Work out the size of angle x.
42°
Х
123°

Answers

Answer:

42+123+x=180

x=180-165

x=15 degrees

Step-by-step explanation:

HELPPP WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

15 by 2

Step-by-step explanation:

15 cubes in each layer with 2 layers

Answer:

Cubes in each layer: 15

Number of layers: 2

Volume : 30 cm^3

Step-by-step explanation:

Rewrite the equation by completing the square. x^{2}+4x-21 = 0

Answers

Answer:

x={3,-7}

Step-by-step explanation:

brackets for list

Solve with quadratic formula

separate the solutions

Square

Answer:

2 for the first box and 25 for the second one.

Step-by-step explanation:

Translate into an equation: Twenty-six more than the product of a number and
17 is -42.

Answers

C) 17n + 26 = -42

“the product of a number and 17” = 17n

“twenty six more than” = + 26

And if the next question has you solve it:
17n + 26 = -42
Subtract 26 from both sides
17n = -68
Divide both sides by 17
n = -4


Question Help
One taco supreme and two pan pizzas provide 3200 calories. Two taco supremes and one pan pizza
provide 3280 calories. Find the caloric content of each item.

Answers

Answer:

4324eqW

Step-by-step explanation:

3 + 5 =7

A travel agent collected data from a group of past clients regarding what type of reservation they plan to make in the future and which package they plan to choose. The types of reservations offered at the agency are tours, cruises, and resorts, and the packages offered are either basic or deluxe.

Answers

The two way table given by option z is a possible representation of the data collected.

How to calculate a relative frequency?

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

From the first table, we have that:

Half of the packages are basic.Half of the packages are deluxes.

Then, for the basic packages, we have that resorts were chosen 2.5 times more than tours, while cruises were chosen 1.5 times more than tours.

Option z shows these same ratios between the amounts, hence it is the correct option.

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What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?

Answers

Add 4.5

---

hope it helps

Answer: add 4.5 to both sides

Step-by-step explanation: this will allow the 4.5 to be removed from the y side and since you added it to one side you have to add it to the other side. This will give your y the value of 16.7.

Brainliest plz

A fair die is tossed twice and let X1 and X2 denote the scores obtained for the two tosses, respectively

Calculate E[X1] and show that var (X1) =
Determine and tabulate the probability distribution of Y = | X1 – X2 | and show that E[Y] =
The random variable Z is defined by Z = X1 – X2. Comment with reasons (quantities concerned need not be evaluated) if each of the following statements is true or false
E(Z2) = E(Y2)
Var(Z) = Var(Y)

Answers

1. When a fair die is tossed the expected value E[X1] = 3.5 and the variance var(X1) = 35/12.

When a fair die is tossed, each of the six possible outcomes has an equal probability of 1/6. Let X1 denote the score obtained in the first toss.

To calculate the expected value E[X1], we find the sum of all possible values of X1 multiplied by their respective probabilities:

E[X1] = (1 * 1/6) + (2 * 1/6) + (3 * 1/6) + (4 * 1/6) + (5 * 1/6) + (6 * 1/6) = 3.5

To calculate the variance var(X1), we use the formula:

var(X1) = E[X1^2] - (E[X1])^2

First, we find E[X1^2] by taking the sum of the squares of all possible values of X1 multiplied by their respective probabilities:

E[X1^2] = (1^2 * 1/6) + (2^2 * 1/6) + (3^2 * 1/6) + (4^2 * 1/6) + (5^2 * 1/6) + (6^2 * 1/6) = 91/6

Substituting the values into the formula, we calculate var(X1):

var(X1) = (91/6) - (3.5)^2 = 35/12

Therefore, E[X1] = 3.5 and var(X1) = 35/12.

2. The probability distribution of Y = |X1 - X2| is tabulated as follows:

Y |X1 - X2| P(Y)

0 0 1/6

1 1 2/6

2 2 2/6

3 3 1/6

To calculate E[Y], we find the sum of all possible values of Y multiplied by their respective probabilities:

E[Y] = (0 * 1/6) + (1 * 2/6) + (2 * 2/6) + (3 * 1/6) = 1

Therefore, E[Y] = 1.

3. The statements E(Z^2) = E(Y^2) and Var(Z) = Var(Y) are false.

E(Z^2) and E(Y^2) represent the expected values of the squares of the random variables Z and Y, respectively. Since Z = X1 - X2 and Y = |X1 - X2|, the squares of Z and Y have different probability distributions, leading to different expected values.

Similarly, Var(Z) and Var(Y) represent the variances of Z and Y, respectively. Since Z and Y have different probability distributions, their variances will generally not be equal.

Therefore, E(Z^2) ≠ E(Y^2) and Var(Z) ≠ Var(Y).

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Given f(x)= 5 (6) x for rexeh 1 o elsewhere for a continuous veidon variable z. (a) Compute p(2.4 x <3). (6) Compite Elx)

Answers

a.  the value of P(2.4 < x < 3) is 8.1.

b. the value of E(X) is 10.

Given function is f(x) = 5(6)x for x≥1 and elsewhere for a continuous random variable z.  

a. Compute P(2.4 < x < 3)

For continuous random variable, P(a < x < b) = ∫f(x)dx, where f(x) is the probability density function (PDF).

Here, f(x) = 5(6)x for x≥1 and elsewhere

So, P(2.4 < x < 3) = ∫f(x)dx = ∫2.4^35(6)xdx= 5 ∫2.4^36xdx= 5 [(3^2 - 2.4^2)/2] = 5 [(9 - 5.76)/2] = 5 [1.62] = 8.1

Hence, the value of P(2.4 < x < 3) is 8.1.

b. Compute E(X)Expected value of X is given by E(X) = ∫xf(x)dxFor continuous random variable, E(X) = ∫xf(x)dx, where f(x) is the probability density function (PDF).Here, f(x) = 5(6)x for x≥1 and elsewhereSo, E(X) = ∫xf(x)dx = ∫1∞5(6)x.xdx+ ∫-∞0 0dx= 5 ∫1∞6x^2dx+ 0 = 5 [(6) (x^3)/3]1∞= 5 [(6) (1^3)/3] = 10

Hence, the value of E(X) is 10.

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Given f(x)= 5 (6) x for rexeh 1 o elsewhere for a continuous veidon variable z. We are required to compute p(2.4 < x <3) and E(x).

Compute p(2.4 < x <3)For the given function, f(x) = 5 (6) x for 1 ≤ x ≤ 3 and 0 elsewhere.

So, the total area under the curve will be equal to 5 (6) 2 = 60.

And the required probability is given by the area under the curve from 2.4 to 3.  [Illustration is provided below]

Hence, p(2.4 < x <3) = 3.6

(b)Compute E(x)Expected value of x, E(x) is given by E(x) = ∫xf(x) dx,

which is equal to the area under the curve multiplied by the distance over which the function is spread.

Let's calculate the area under the curve, which is equal to 60, as we have calculated earlier.

Now, we calculate the distance over which the function is spread.

Distance = 3 - 1 = 2 unitsHence, E(x) = 60/2 = 30.

Answer:Therefore, p(2.4 < x <3) = 3.6 and E(x) = 30.

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Find the area of the following figure. Show your work

Answers

1 - 7 + 7 + 3 + 3 = 20
2 - 3 + 3 + 4 + 3 = 13
3 - 7 + 7 + 2 + 2 = 18
4 - 2 + 2 + 9 + 9 = 22
5 - 3 + 1 + 3 + 1 = 8
20 + 13 + 18 + 22 + 8
33 + 18 + 22 + 8
33 + 18 + 30
63 + 18
= 81

Donna bought 5 bags of dog treats for $13.10. What is the cost per bag of dog treats?
A. $18.10
B.$3.28
C.$2.62
D.$0.38

Answers

It is answer C because 13.10 divided by 5 is 2.62 Pls mark brainliest

Assuming the sample was taken from a normal population, test at ů. = 0.05 and state the decision. Họ: H = 13 HA: U < 13 ř= 10 S= 0.7 n = 9

Answers

the test statistic (t = -12.857) is smaller than the critical value (-1.860), we have enough evidence to reject the null hypothesis.

To test the hypothesis regarding the population mean, we can perform a one-sample t-test.

Given:

- Null hypothesis (H₀): μ = 13

- Alternative hypothesis (Hₐ): μ < 13

- Sample mean ([tex]\bar{X}[/tex]) = 10

- Sample standard deviation (s) = 0.7

- Sample size (n) = 9

- Significance level (α) = 0.05

To conduct the t-test, we can calculate the test statistic and compare it with the critical value from the t-distribution.

The test statistic (t-score) is calculated as:

t = ([tex]\bar{X}[/tex] - μ) / (s / √n)

Plugging in the values:

t = (10 - 13) / (0.7 / √9)

t = -3 / (0.7 / 3)

t = -3 / 0.233

t ≈ -12.857

To determine the critical value, we need to find the appropriate degrees of freedom (df) for a one-sample t-test. In this case, df = n - 1 = 9 - 1 = 8.

Using a significance level of α = 0.05 and looking up the critical value for df = 8 in the t-distribution table, we find the critical value to be approximately -1.860.

Since the test statistic (t = -12.857) is smaller than the critical value (-1.860), we have enough evidence to reject the null hypothesis.

Decision: Based on the test results, at α = 0.05, we reject the null hypothesis (H₀: μ = 13). There is sufficient evidence to support the alternative hypothesis (Hₐ: μ < 13), suggesting that the population mean is less than 13.

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Given question is incomplete, the complete question is below

Assuming the sample was taken from a normal population, test at α = 0.05 and state the decision. Họ: μ = 13 HA: μ < 13 [tex]\bar{X}[/tex]= 10 s= 0.7 n = 9

Jasmine has $50 and saves $4.38 every month. Radha has $0 and saves $5.38 every month. Jasmine's savings after x months can be represented by the function f (x) = 4.38 x + 50. Radha's savings after x months can be represented by the function g (x) = 5.38 x. Round your answer to the nearest hundredth.

After how many months will they both have the same amount in savings? Find the values of x for which f (x) = g (x).

After ____ months, Jasmine and Radha will have the same amount in savings.​

Answers

After 50 months, jasmine and Radha will have the same amount in savings

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 2800 grams and a standard deviation of 415 grams. If a 34-week gestation period baby weighs 2875 grams and a 41-week gestation period baby weighs 3175 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period?
Find the corresponding z-scores. Which baby weighs relatively more? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.)

A. The baby born in week 34 weighs relatively more since its z-score ____, is smaller than the z-score of ____ for the baby born in week 41
B. The baby born in week 41 weighs relatively more since its z-score ____, is smaller than the z-score of ____ for the baby born in week 34
C. The baby born in week 34 weighs relatively more since its z-score ____, is larger than the z-score of for ____ the baby born in week 41 for the baby born in week 34
D. The baby born in week 41 weighs relatively more since its z-score ____, is larger than the z-score of ____ for the baby born in week 34

Answers

The corresponding z-scores for the given observations can be calculated using the formula:

[tex]\[z = \frac{{x - \mu}}{{\sigma}}\][/tex]

where [tex]\(x\)[/tex] is the observation, [tex]\(\mu\)[/tex] is the mean, and [tex]\(\sigma\)[/tex] is the standard deviation.

For the baby born in week 34 weighing 2875 grams:

[tex]\[z_{34} = \frac{{2875 - 2500}}{{600}} = 0.625\][/tex]

For the baby born in week 41 weighing 3175 grams:

[tex]\[z_{41} = \frac{{3175 - 2800}}{{415}} = 0.904\][/tex]

To determine which baby weighs more relative to the gestation period, we compare the z-scores.

A. The baby born in week 34 weighs relatively more since its z-score 0.625 is smaller than the z-score 0.904 for the baby born in week 41.

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Oatmeal is packaged in a right circular cylindrical container that has a radius of 7 centimeters and a height of 16 centimeters.



What is the surface area of this container in terms of pi?

a. 176
b. 254
c. 322
d. 440

Answers

Answer:

c. 322

Step-by-step explanation:

Surface area of cylinder = 2πr² + 2πrh.

SA in terms of π = π(2r² + 2rh) →

π(2(7)² + 2(7)(16)) →

π(2(49) + 2(112)) → π(98 + 224) → π(322)

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Find the inverse Laplace transform f(t) = 2-1{F(s)} of the function F(s) = 3 S2 + 100 S2 +9 3 f(t) = (-1{ = 7s 52 +9 100} Smith Manufacturing purchased on account $59,000 of direct materials and $4,000 of indirect materials. Which of the following journal entries would correctly record the transaction? A. Work-in-Process Inventory 59,000 Manufacturing Overhead 4,000 Raw Materials Inventory 63,000B. Accounts Payable 63,000 Raw Materials Inventory 63,000 C. Raw Materials Inventory 63,000 Accounts Payable 63,000 D. Raw Materials Inventory 63,000 Finished Goods Inventory 59,000 Work-in-Process Inventory 4,000 Using simple linear regression and given that the price per cup is $1.80, the forecasted demand for mocha latte coffees will be how many cups?PriceNumber Sold2.607703.605152.109904.102503.003154.00475Simple linear regression:Simple linear regression attempts to obtain a formula that can be used for forecasting purposes to predict values of one variable from another. 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If so, why, if not, what drives economic growth? a circular current loop of 10 turns carries a current of 5.0 a. if the radius of the loop is 5.0 cm, find the magnetic field at the center of the loop If currlength is an integer variable that gives the number of elements currently in the array myarray, which code snippet prints out the elements in the partially filled array of integers? Ben and his n 1 friends stand in a circle and play the following game: Ben throws a frisbee to one of the other people in the circle randomly, with each person being equally likely, and thereafter, the person holding the frisbee throws it to someone else in the circle, again uniformly at random. The game ends when someone throws the frisbee back to Ben.(a) What is the expected number of times the frisbee is thrown through the course of the game?(b) What is the expected number of people that never got the frisbee during the game? Crash Davis Driving School has an ROE of 8.9% and a payout ratio of 54%. 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