can anyone plz solve this ?? -7 (1+3x) =4+5x

The ratio of Ali's score to Ben's score to Clare's score in its simplest form is  1 : 3.5 : 7

Given data:

Claire's score = 7 * Ali's score

Ben's score = 0.5 * Claire's score

let Ali's score = x

let Ben's score = y

let Claire's score = z

z = 7 * x = 7x

z = 7x

y = 0.5 * z = 1/2 * z = z / 2

plugging the value of z gives

y = 7x / 2

writing the ratios in terms of x gives

Ali : Ben : Claire

x : y : z

x : 7x/2 : 7x

reducing the terms by dividing through by x

1 : 7/2 : 7

OR

1 : 3.5 : 7

clearing the fraction gives

2 : 7 : 14

Therefore, the ratio of Ali's score to Ben's score to Clare's score in its simplest form is  1 : 3.5 : 7

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Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

                  The volume of cone will be \(\frac{88r^{3} }{21}\)

Cone:

        A cone is a three-dimensional geometric shape that tapers smoothly from a flat base.

Given,

        The height of a cone is two times its base diameter.

         we have to find the volume of cone in terms of base radius.

let us assume the base radius of cone is equal to r units

                    so diameter(d) of cone will be, d= 2r units

so,

     height(h) of cone will be equal to, h = 2d units

                                                           h = 2x2r units

                                                           h = 4r  units

We know,

              Volume of the cone(V) = \(\pi r^{2} h/3\)

                Where,

                             r = radius of base

                            h = height of cone

                            π = 22/7

Thus by using formula,

                                   Volume of cone(V) = \(\pi r^{2} h/3\)

                                                                 = 22/7 * \(r^{2}\) * 4r/3

                                                                 = 88\(r^{3}\)/21

                                                                 = \(\frac{88r^{3} }{21}\)

  Hence,

              The volume of cone will be \(\frac{88r^{3} }{21}\)

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Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.

This shows, with dots, the number of times that each of the measures appears in a data set.

For finding the dot plot, we have that:

The shortest conifer measures 6 and 1/4

= 6.25 inches.

The tallest conifer measures 9.5 inches.

The difference is:

9.5 - 6.25 = 3.25 inches.

Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

22965.9

Step-by-step explanation:

multiply the length value by 3281

Answer:cubic foot: 2.472e+11

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Step-by-step explanation:

answer is 38 too

.......

Answer:

the answer is 33

Step-by-step explanation:

Fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of first prism with sides 2, 1.5 and 3.2

Volume=2×1.5×3.2

=9.6 in³

The volume of second prism with sides 1.5, 1.5 and 6

Volume=1.5×1.5×6

=13.5 in³

The volume of third prism with sides 2, 5/2 and 7/2

Volume=2×2.5×3.5

=17.5 in³

The volume of fourth prism with sides 1/2, 1/2 and 1/2

Volume=0.5×0.5×0.5

=0.125 in³

Hence fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.

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Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn

A rectangle is a type οf quadrilateral that has its parallel sides equal tο each οther and all the fοur vertices are equal tο 90 degrees. Hence, it is alsο called an equiangular quadrilateral. Since, the οppοsite sides are equal and parallel, in rectangle, therefοre, it can alsο be termed as a parallelοgram.

Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn

check the attachment given belοw tο understand.

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The amount that Matthew was paid per hour is given as follows:

$6.

The amount that Matthew was paid per hour is obtained applying the proportions with the amounts given in this problem. A proportion is a fraction of a total amount, using to obtain amounts in the context of a problem.

He then spent $3 and had $12 remaining, hence the total amount earned is calculated as follows:

x - 3 = 12

x = 12 + 3

x = $15.

(total amount - spent amount = remaining amount).

He earned $15 in 2.5 hours, hence the amount that Matthew was paid per hour is found applying the division of 15 by 2.5, as follows:

15/2.5 = $6.

(amount per hour = total amount divided by the number of hours).

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Work Shown:

\(A = P*\left(1+\frac{r}{n}\right)^{n*t}\\\\ 2500 = P*\left(1+\frac{0.039}{2}\right)^{2*15}\\\\ 2500 \approx P*1.7849123867454\\\\ P \approx \frac{2500}{1.7849123867454}\\\\ P \approx 1400.62897123959\\\\ P \approx 1400.63\\\\\)

Answer:

c

Step-by-step explanation:

hoped it helped you:)))

Answer:

9

Step-by-step explanation:

90+81+mising angle=180, missing angle is 9

Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

Answer:

45cm2

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

You add top base and bottom base then you multiply it with your height.

Answer: it’s 352425262625251452 is 4th of July and I am present

Step-by-step explanation:

Answer:

Step-by-step explanation: 462 Divided by 24 = 19.25$

Proof: 19.25 x 24 = 462

Answer: 19.25$

Answer:

10140.96 dollars

Step-by-step explanation:

Bob deposits 133 dollars at the end of every mounth in an account paying 5.9 percent interest compounded annually :

We khow that the interest is worth 5.9 percent

we can state :

Let At be the toatl amount after six years

At= 1596*6+94.16*6= 10140.96

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

Step-by-step explanation:

\(3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{15}{9} \\ \)

The smallest positive integer which when divided by 5 leaves a remainder of 3 is 8

From the question, we have the following parameters that can be used in our computation:

Divisor = 5

Remainder = 3

Using the above as a guide, we have the following:

Smallest integer = Divisor + Remainder

So, we have

Smallest integer = 5 + 3

Evaluate

Smallest integer = 8

Hence, the smallest is 8

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The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.

The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.

The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).

The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.

To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)

Simplifying this expression, we get:

P(x) =\(-8.32x^2\) + 1,248x - 36,400

Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).

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Answer:

Step-by-step explanation:

   given equuation      10\(\sqrt{3x\)+4\(\sqrt{3x\)+5\(\sqrt{3x}\)

                                    =19\(\sqrt{3x}\)

the answer is 19\(\sqrt{3x}\)

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