Which of the following shows the equation after both sides have been distributed correctly?
-4 (x- 2) = 5 (3x-8)

a. -4 (x - 2) = 5 (3x-8)
b. -4x + 8 = 15x + 40
c. -4x -8 = 15x - 40
d. -4x - 6 = 15x - 3​

The cost of a taxi ride that is m miles long can be represented by the equation: Cost of ride, m miles = $2 + $1.50m

To calculate the cost of a taxi ride for 9 miles, we need to consider the fixed pickup cost of $2 and the additional cost per mile driven, which is $1.50.

For the 9-mile ride, the additional cost would be:

Additional Cost = $1.50 per mile × 9 miles = $13.50

Adding the pickup cost and the additional cost gives us the total cost of the ride:

Total Cost = Pickup Cost + Additional Cost = $2 + $13.50 = $15.50

Therefore, the cost of the taxi ride for 9 miles would be $15.50.

For a taxi ride that is m miles long, we can use the same formula. The additional cost would be:

Additional Cost = $1.50 per mile × m miles = $1.50m

The total cost of the ride would then be:

Total Cost = Pickup Cost + Additional Cost = $2 + $1.50m

This formula allows us to calculate the cost of the taxi ride for any given number of miles, represented by the variable m.

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Answer:

Step-by-step explanation:

NO we can not prove ΔDEF ≅ΔOPQ using SAS congruence theorem becasue we are given ( not a Side Angle Side)

∠D≅∠O (Angle)

DF ≅ OQ (Side)

∠F ≅∠Q (Angle)

HOWEVER,

The  ΔDEF ≅ΔOPQ because ASA concruence.

Answer:

4.37

Step-by-step explanation:

the formula is c/2x3.14=R

27.475/(2x3.14)=4.37

~Denki Kaminari here~

Answer:

6

Step-by-step explanation:

because x is equal to 1, and y is equal to 2, all we need to do is skip count 3 times by 2 and you get your answer: 6!

hope this helps :D

Answer:

6

Step-by-step explanation:

Given that x = y so that means if y and x are same and have same values. Therefore if y = 2 then x = 2.

So substitute x = 2 in 3x:

3(2) = 6

Therefore, the solution is 6

Answer:

0.21

Step-by-step explanation:

The following statements can be concluded if ∠ABC and ∠CBD are a linear pair:

B. ∠ABC and ∠CBD are supplementary.

D. ∠ABC and ∠CBD are adjacent angles.

In Mathematics, the linear pair theorem states that the measure of two angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two adjacent angles would be equal to 180° when two parallel lines are cut through by a transversal.

According to the linear pair theorem, ∠ABC and ∠CBD are supplementary angles because BDC forms a line segment. Therefore, we have the following:

∠ABC + ∠CBD = 180° (supplementary angles)

m∠ABC ≅ m∠CBD (adjacent angles)

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Answer:

step number 1 is incorrect.

Step-by-step explanation:

Here is the solution of this equation [2x-31-1=2].

2x-31-1=2

or 2x-31=2+1

or 2x=2+1+31

or 2x= 34

or x=34/2

or x= 17

the answer of this equation is X=17.

Answer:

Step 1

Step-by-step explanation:

The correct option is (d) interval/ratio, nominal with 2 or more levels.

In ANOVA (Analysis of Variance), the independent variable is interval/ratio with 2 or more levels, and the dependent variable is nominal with 2 or more levels. Here, ANOVA is a statistical tool that is used to analyze the significant differences between two or more group means.

ANOVA is a statistical test that helps to compare the means of three or more samples by analyzing the variance among them. It is used when there are more than two groups to compare. It is an extension of the t-test, which is used for comparing the means of two groups.

The ANOVA test has three types:One-way ANOVA: Compares the means of one independent variable with a single factor.Two-way ANOVA: Compares the means of two independent variables with more than one factor.Multi-way ANOVA: Compares the means of three or more independent variables with more than one factor.

The ANOVA test is based on the F-test, which measures the ratio of the variation between the group means to the variation within the groups. If the calculated F-value is larger than the critical F-value, then the null hypothesis is rejected, which implies that there are significant differences between the group means.

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Answer:

72.9

Step-by-step explanation:

1) Line X and Z is the opposite, line X, Y is the adjacent

2) With this, we can use tangent to calculate the size of the angle

3) We need to inverse tan to find the angle, so on your calculator type:

tan^-1 (13/4)

= 72.89

1 decimal place = 72.9

The size of angle XYZ is 72.9

\(\frac{-1}{32}\) is a required answer.

Answer:

Solution given:

\( {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } \)

take power common

\((\frac{-7*1}{56})^{\frac{5}{3}}\)

Reduce the fraction

\((\frac{-1}{8})^{\frac{5}{3}}\)

make the1 and 8 in terms power 3

\((\frac{-1³}{2³})^{\frac{5}{3}}\)

take the common power

\((\frac{-1}{2})^{3*\frac{5}{3}}\)

Reduce power

\((\frac{-1}{2})^{5}\)

now

distribute power

\(\frac{-1^{5}}{2^{5}}\)

\(\frac{-1}{32}\)

9514 1404 393

Answer:

  2.05 hours

Step-by-step explanation:

Using the given equation with the given time, we have ...

  55x +35(2.5) = 200

  55x = 112.5 . . . . . . . . subtract 87.5

  x = 2.05 . . . . . . . . . . divide by 55

The car spends 2.05 hours at 55 mph.

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

The answer would be 2/3.

Step-by-step explanation:

There are 6 faces on a dice 3 of which are odd which would be 1/2. Then there is one face on a dice that has 3 dots on it which would 1/6. So 1/2+1/6= 4/6 which simplifies to 2/3.

Answer:

E and A

Step-by-step explanation:

Answer:

3.

11² + 11² = x²

121 + 121 = x²

242 = x²

x = √242

x = 11√2

4.

tan(60°) = y/36

√3 = y/36

y = 36√3

tan(30°) = x/36

√3/3 = x /36

x = 36√3/3

x = 12√3

Answer:

Step-by-step explanation:

3) Using the Pythagorean Theorem (A^2+B^2=C^2) We can tell that x^2=11^2+CB^2. If you can find what CB is then you can find x by doing 11^2+CB^2=x^2 and if you square root x^2 you get x.

4) Same thing, y^2+x^2=36^2.

Answer:

(7, 4)

Step-by-step explanation:

The solution to the system of the 2 equations represented on the graph by the two lines is the c

x and y coordinates of the point where the two lines intersect.

They intersect at when x = 7, y = 4.

Therefore, the solution to the system of equations would be (7, 4).

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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Answer:

3/10

3/10

Step-by-step explanation:

0,1,2,3,4,5,6,7,8,9 are in a box

odd primes are 3 and 5 and 7  ( 1 is neither prime nor composite)

There is a total of 10 numbers

P( odd prime) = number of odd primes / total = 3/10

perfect squares greater than 0 are 1,4,9

P( perfect squares) = number of perfect squares / total = 3/10

Answer: 3/10(the first one)

Step-by-step explanation: So, prefect squares are numbers that are divisible by two numbers multiplied by them selves, 1 is 1 x 1 4 is 2 x 2 and 9 is 3 x 3 so 3 numbers out of 10 from 0 to 9 are perfect squares! Hope this helps, 15402256.

Step-by-step explanation:

X=40/8

X=5 Answer

hope it helps

Answer:

X= 5

Step-by-step explanation:

NOTE: DIVIDE 8 IN BOTH SIDE

8X/8 = X

40/8 = 5

SO X = 5

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

Answer: 4 hope this helps i love your prp

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/geometry-plane/distance-two-points.php

The relative price is a useful measure for comparing the prices of different products or services, especially in the context of consumer preferences and demand.

Relative price refers to the price of a particular product or service in relation to other goods or services in the market.

It is calculated as the ratio of the price of a given product or service to the price of a reference product or service, commonly referred to as a base good or service.

Let the price of a pair of shoes be $5 and the price of a box of tea be $3.

Then the relative price of a pair of shoes is given by:

Relative price of shoes = Price of shoes / Price of tea

= $5 / $3

= 1.67

Thus, the relative price of a pair of shoes is 1.67.

Similarly,

The relative price of a box of tea can be calculated as follows:

Relative price of tea = Price of tea / Price of shoes

= $3 / $5

= 0.6

Therefore, the relative price of a box of tea is 0.6.

This means that the price of tea is relatively cheaper than that of shoes, as its relative price is less than one.

The relative price of shoes is greater than one, which indicates that shoes are relatively more expensive than tea.

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Answer:

(8,3)

Step-by-step explanation:

f(8) = 3

The input is 8 and the output is 3

(8,3)

The finite difference scheme that can be used to estimate the first derivative is option 3: dx/dt = (x[i+1] – x[i-1]) / (2T).

The finite difference scheme is a numerical method used to approximate derivatives. In this case, we want to estimate the first derivative dx/dt. Option 3, dx/dt = (x[i+1] – x[i-1]) / (2T), is the correct scheme for approximating the first derivative.

In this scheme, x[i+1] and x[i-1] represent the values of the function at neighboring points in the x direction, and T represents the time step.

By subtracting the value at x[i-1] from the value at x[i+1] and dividing it by 2T, we obtain an approximation of the derivative dx/dt at the point x[i].

Options 1, 2, 4, and 5 do not provide the correct formulation for estimating the first derivative. They either use different expressions or incorrect coefficients, making them unsuitable for approximating the derivative accurately.

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Answer: the is  1560

Step-by-step explanation:

5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more and  28 work days

Answer:

number is 3

Step-by-step explanation:

let n be the number , then 3 more than the number is n + 3 and six less than 4 times the number is 4n - 6 , so

4n - 6 = n + 3 ( subtract n from both sides )

3n - 6 = 3 ( add 6 to both sides )

3n = 9 ( divide both sides by 3 )

n = 3

the number is 3

Answer:

Flipping a coin to determine which participants in a study are in the control group versus the treatment group is a form of: blinding.

Step-by-step explanation: