A pair of socks priced at $2.70 was on sale for 10% off what was the original price of the socks

Answer:

2: add 4

3: 6

5: multiply by 2

6: 7

Step-by-step explanation:

Answer:

x = 1/3 (-2y+z)

Step-by-step explanation:

3x+2y=z

3x = -2y+z

x = 1/3 (-2y+z)

Hope it helps

x=z/3-2y/3

i hope this helps :))

Answer:

it was rough it the beginning but I got it its B:

Answer: The answer is A.  30% of 88$ is 26.40.

Answer:

I found this. Will this help??

Step-by-step explanation:

In the given triangle RSQ and ΔRST it is given that

∠RTS ≅ ∠SRQ ≅ 90°

∠RSQ is common in two triangles Δ RSQ and Δ RST.

Therefore two angles are equal so both the triangles are common.

From this property we opposite sides of the corresponding angles will be in the same ratio.

SR/SQ = ST/SR

x/(9 + 16) = 9/x

By cross multiplication on each side of the equation

x² = 25×9 = 225

x = √225 = 15

Therefore measurement of x is 15 units.

The value of x from the given right triangle is 20 units. Therefore, option C is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

From the given right triangle, we have ST = 9, TQ = 16 and RQ = x

From similar triangles,

Δ SRQ ⩭ Δ STR ------(1) {∵ RT 丄 Hypotenuse SQ}

Δ SRQ ⩭ Δ RTQ ------(2) {∵ Δ SRQ, Δ STR and Δ RTQ are similar triangles}

⇒ SR/ST = SQ/SR = RQ/TR

⇒ SR/9 = 25/SR = x/TR

⇒ SR² = 25 × 9

⇒ SR = 5 × 3 = 15

SR² + RQ² = SQ²

RQ² = SQ² - SR²

RQ² = 25² - 15²

RQ = x = √(625 - 225)

= √400

x = 20 units

Therefore, option C is the correct answer.

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Answer:

Step-by-step explanation:

Cost of bikes =  $500.00

If the sales tax is 7%, the amount paid as tax will be 7% of the total selling price of bike;

7% of $500.00

= \(\frac{7}{100} * 500\\\)

= $35

The final cost of bike = initial selling price + amount paid as tax

The final cost of bike  = $500.00 + $35.00

The final cost of bike = $535.00

Answer:

2 time greater

Step-by-step explanation:

5x20=100

10x20=200

100x2=200

so its 2 times greater

Kellurz, this is the solution:

2x + 3y = 10

4x + By = 20

____________

Isolating x in the first equation:

2x + 3y = 10

2x = 10 - 3y

Dividing by 2:

2x/2 = (10 - 3y)/2

x = (10 - 3y)/2

Substituting x and solving for y in the second equation:

4x + By = 20

4 * (10 - 3y)/2 + By = 20

40 - 6y + By = 20

-6y + By = 20 - 40

-6y + By = -20

Now, we can solve for B, using the following ratios:

2/4 = 3/B = 10/20

1/2 = 3/B = 1/2

1/2 = 3/B

B = 6

Answer: 5

Step-by-step explanation: unless this was somehow a trick question

Answer:

180+45w=900. w= 16

Step-by-step explanation:

we start with 180 already saved. so 900-180 is 720. And 720÷45 is 16. Therefore it will take 16 weeks to save all 900 dollars.

Answer:

45+180=225x4=900

Step-by-step explanation:

So 1st u wanna add 45+180=225  then multiply 225x4=900

To derive the demand functions for goods X and Y, we will use the concept of utility maximization subject to the budget constraint.

First, let's set up the optimization problem by maximizing utility subject to the budget constraint: max U(X, Y) subject to PxX + PyY = M.

To find the demand function for good X, we need to solve for X in terms of Y. Taking the derivative of the utility function with respect to X and setting it equal to the price ratio, we have MUx / MUy = Px / Py. Substituting the given marginal utility functions, we get 2X^(-0.8)Y^(-0.8) / (8X^0.2Y^(-0.2)) = Px / Py. Simplifying the equation, we have X^(-1) / (4Y) = Px / Py, which implies X = (4PxY)^(0.25).

Similarly, to find the demand function for good Y, we need to solve for Y in terms of X. Taking the derivative of the utility function with respect to Y and setting it equal to the price ratio, we have MUy / MUx = Py / Px. Substituting the given marginal utility functions, we get 8X^0.2Y^(-0.2) / (2X^(-0.8)Y^(-0.8)) = Py / Px. Simplifying the equation, we have Y^(0.25) / (4X) = Py / Px, which implies Y = (4PyX)^(0.25).

Therefore, the demand functions for goods X and Y are X = (4PxY)^(0.25) and Y = (4PyX)^(0.25), respectively. These equations represent the optimal quantities of goods X and Y that maximize utility, given the budget constraint and the prices of the goods.

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The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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Answer:

The answer should be (1,-2)

Step-by-step explanation:

because 4x1/4=1 and -8x1/4=-2 just divided and the answer will be (1,-2)

The equation of the perpendicular line that passes through the point (19,15) is y = -(1/2)x + 24.5.

To find the equation of a line perpendicular to a given line, we need to use the fact that the slopes of perpendicular lines are negative reciprocals (opposite signs and flipped) of each other. Therefore, we first need to find the slope of the given line that passes through the points (14,5) and (19,15):

slope = (change in y)/(change in x) = (15 - 5)/(19 - 14) = 2

The slope of the perpendicular line will be the negative reciprocal of 2:

perpendicular slope = -1/2

Now we can use the point-slope formula to find the equation of the perpendicular line that passes through the point (19,15):

y - 15 = -(1/2)(x - 19)

y - 15 = -(1/2)x + 9.5

y = -(1/2)x + 24.5

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Answer:

42 mph

Have a wonderful day! Please mark me as Brainliest!

Answer:

11 points

Step-by-step explanation:

Claire had 11 points  because 18-7=11

C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.

Two or more expressions with an Equal sign is called as Equation.

Given that Ava scored 18 points in a basketball game.

Let Ave score be represented as A.

Ave scored seven points more than Claire.

Let C be the Claire score.

A=7+C

As given Ava scored 18 points in a basketball

so the value of A is 18

18=7+C

Now let us find the value of C

Subtract 7 from both sides

18-7 =C

11=C

Hence, C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.

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Answer:

.....................

Answer:

86x - 68

Step-by-step explanation:

Answer is attached....

a) The corresponding relative frequency, cumulative frequency, and cumulative relative frequency distributions are as follows:

Relative Frequency:

Average mpg Frequency Relative Frequency

15 up to 20 15 0.1875

20 up to 25 30 0.375

25 up to 30 15 0.1875

30 up to 35 10 0.125

35 up to 40 7 0.0875

40 up to 45 3 0.0375

Cumulative Frequency:

Average mpg Frequency Cumulative Frequency

15 up to 20 15 15

20 up to 25 30 45

25 up to 30 15 60

30 up to 35 10 70

35 up to 40 7 77

40 up to 45 3 80

Cumulative Relative Frequency:

Average mpg Frequency Cumulative Relative Frequency

15 up to 20 15 0.1875

20 up to 25 30 0.5625

25 up to 30 15 0.75

30 up to 35 10 0.875

35 up to 40 7 0.9625

40 up to 45 3 1.0000

b-1) The number of cars that got less than 30 mpg is 60.

a) To construct the corresponding relative frequency, cumulative frequency, and cumulative relative frequency distributions, we can use the provided frequency distribution.

First, let's calculate the relative frequency by dividing each frequency by the total number of cars (80):

Average mpg Frequency Relative Frequency

15 up to 20 15 15/80 = 0.1875

20 up to 25 30 30/80 = 0.375

25 up to 30 15 15/80 = 0.1875

30 up to 35 10 10/80 = 0.125

35 up to 40 7 7/80 = 0.0875

40 up to 45 3 3/80 = 0.0375

To calculate the cumulative frequency, we sum up the frequencies as we move down the table:

Average mpg Frequency Cumulative Frequency

15 up to 20 15 15

20 up to 25 30 15 + 30 = 45

25 up to 30 15 45 + 15 = 60

30 up to 35 10 60 + 10 = 70

35 up to 40 7 70 + 7 = 77

40 up to 45 3 77 + 3 = 80

To calculate the cumulative relative frequency, we sum up the relative frequencies as we move down the table:

Average mpg Frequency Relative Frequency Cumulative Relative Frequency

15 up to 20 15 0.1875 0.1875

20 up to 25 30 0.375 0.1875 + 0.375 = 0.5625

25 up to 30 15 0.1875 0.5625 + 0.1875 = 0.75

30 up to 35 10 0.125 0.75 + 0.125 = 0.875

35 up to 40 7 0.0875 0.875 + 0.0875 = 0.9625

40 up to 45 3 0.0375 0.9625 + 0.0375 = 1.0000

b-1) To determine how many cars got less than 30 mpg, we need to sum up the frequencies for the categories below 30 mpg.

Cars with less than 30 mpg:

Frequency(15 up to 20) + Frequency(20 up to 25) + Frequency(25 up to 30) = 15 + 30 + 15 = 60

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Answer:

Taylor got 8 gallons of candy.

Step-by-step explanation:

I. As you can see jug is greater than gallon

So the ratio is  \(\frac{jug}{gallon} = \frac{3}{2}\)

II. If Taylor got 12 jugs that means

                3x = 12

                  x = 4

III. So make it equa by multiply 4 in jug and gallon

              =  \(\frac{3}{2} * \frac{4}{4}\)

              = \(\frac{12}{8}\)

So Taylor got 12 jugs and 8 gallons

Ask me anything.

Answer:

Mohan lent 3600 to Ram and 3000 to Shyam.

Step-by-step explanation:

Given that Mohan lent altogether 6,600 to Ram and Shyam for 2 years.

Let Mohan lent x to Ram and y to Shyam

x+y=6600

Or, x=6600-y ...(i)

As Ram  pays simple interest at 15 %=0.15 p.a, so, the interest paid by Ram in 2 years:

\(I=x\times 0.15 \times 2 \\\\\Rightarrow I=0.3x \\\\\)

\(\Rightarrow I=0.3(6600-y) \\\\\) [by using (i)]

\(\Rightarrow I=1980-0.3y \cdots(ii)\)

As Shyam  pays compound interest at 15 %=0.15 p.a,

so, the interest paid by Shyam in 2 years, C.I.= Final amount - Initial principal amount

\(C.I. = y(1+0.15)^2-y \\\\\Rightarrow C.I. = y(1.15^2-1) \\\\\Rightarrow C.I. = y(1.3225-1) \\\\\Rightarrow C.I. = 0.3225y \cdots(iii)\)

As Ram paid Rs 112.50 more than Shyam as the interest, so by using equations (ii) and (iii),

\((1980-0.3y)-0.3225y=112.5 \\\\\Rightarrow 1980-0.3y-0.3225y=112.5 \\\\\Rightarrow 0.6225y=1980-112.5 \\\\\Rightarrow  y = 1867.5/0.6225=3000\)

From equations (i),

\(x=6600-3000=3600\)

Hence, Mohan lent 3600 to Ram and 3000 to Shyam.

A testable prediction of what will happen under a specific set of conditions is known as a hypothesis.

A hypothesis is a tentative explanation or prediction about a phenomenon or relationship between variables, based on limited evidence or prior knowledge. It is often formulated as a statement that can be tested through research or experimentation.

A hypothesis typically includes an independent variable (the variable that is being manipulated or studied) and a dependent variable (the variable that is being measured or observed). The hypothesis also includes a prediction about how the independent variable will affect the dependent variable.

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Answer:

15$

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

..............

If Chris bought 5 tacos and 2 burritos for $13. 25 and  Brett bought 3 tacos and 2 burritos for $10. 75, the price of one taco is $1.25, and the price of one burrito is $3.50.

Let the price of one taco be T and the price of one burrito be B. We have the following equations:

5T + 2B = $13.25
3T + 2B = $10.75

To find the prices of the taco and the burrito, we can use the system of equations. First, subtract the second equation from the first equation:

(5T + 2B) - (3T + 2B) = $13.25 - $10.75
2T = $2.50

Now, divide by 2 to find the price of one taco:

T = $1.25

Next, plug the value of T back into one of the equations (let's use the second equation):

3($1.25) + 2B = $10.75
$3.75 + 2B = $10.75

Now, subtract $3.75 from both sides:

2B = $7.00

Finally, divide by 2 to find the price of one burrito:

B = $3.50

So, the price of one taco is $1.25, and the price of one burrito is $3.50.

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Answer:

3x^2+8x-3

Step-by-step explanation:

(x+3)(3x-1)

x*3x + x*(-1) + 3x*3 + 3*(-1)

x*3x = 3x^2

x*(-1) + 3x*3 = -x+9x = 8x

3*(-1) = -3

= 3x^2+8x-3

The expression for the trinomial ( x + 3 ) ( 3x - 1 ) is  \(3x^{2} + 8x - 3\)

Given data:

The expression is represented as (x + 3)(3x - 1)

To express the product of (x + 3)(3x - 1) as a trinomial, perform the multiplication.

Using the FOIL method (First, Outer, Inner, Last), we multiply the terms:

(x + 3)(3x - 1) = x(3x) + x(-1) + 3(3x) + 3(-1)

Simplifying further:

\(3x^{2} - x + 9x - 3\)

Combining like terms:

\(3x^{2} + 8x - 3\)

Hence, the expression (x + 3)(3x - 1) can be expressed as the trinomial \(3x^{2} + 8x - 3\) .

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Answer:

sorry I don't know now how to read

Answer:

63 Seconds

Step-by-step explanation:

The reason how I got this is I divided 36 by 4 to get 9 seconds per handspring, next I multiplied 7 by 9 to get the answer.

Answer:

63

Step-by-step explanation:

If gymnast can do 4 back handsprings in 36 seconds , then for 1 backspring the gymnast took 36/4 = 9 seconds.

If the gymnast took 9 seconds for 1 back handsprings, Time taken by the gymnast to do 7 backsprings = 9×7 = 63 seconds