Share £360 in the ratio 2:7

Answers

Answer 1
Answer:

Answer:

80:280

Step-by-step explanation:

Answer 2
Answer:

Final answer:

To share £360 in the ratio 2:7, you first find the value of one part by dividing £360 by the total number of ratio parts (9). Then, multiply each part of the ratio by this amount, resulting in £80 and £280.

Explanation:

To share £360 in the ratio 2:7, you first need to understand that the sum of the parts of the ratio (2+7) equals to 9 parts. The amount of £360 should be distributed into these 9 parts.

First, you divide the total amount by the total number of parts:
£360 / 9 = £40.

This result £40 is the value of 1 part. To find the amounts for the ratio 2:7, you multiply each part of the ratio by the value of 1 part:

  • 2 * £40 = £80 which is the amount for the first part of the ratio, and
  • 7 * £40 = £280 which is the amount for the second part of the ratio.

Learn more about Ratios here:

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Ifā=r, then which of the following are true statements?Check all that apply.
O A. n1/r = a
✓ B. = a
c. a1/nur
O D. a' = n.

Answers

Answer:

B. a = rⁿ

C. a¹/ⁿ = r

Step-by-step explanation:

ⁿ√a = r

The above expression can be simplified as follow:

1. ⁿ√a = r

Recall:

ⁿ√a = a¹/ⁿ

Therefore,

a¹/ⁿ = r

2. ⁿ√a = r

Take the n square of both side

(ⁿ√a)ⁿ = rⁿ

(a¹/ⁿ)ⁿ = rⁿ

a = rⁿ

the same type of television is being sold at two different stores. store A is selling the television for $800, which is $120 more than half the cost of the television at store B. write and solve an equation to determine the selling price for the television at store B.

Answers

Answer: the selling price of the television at store B is $1360

Step-by-step explanation:

Assuming the selling price of the television at store B is represented by $B. Store A is selling the television for $800, which is $120 more than half the cost of the television at store B. The equation representing this situation is expressed as

800 = B/2 + 120

Multiplying the left hand side and the right hand side of the equation by 2, it becomes

1600 = B + 240

B = 1600 - 240

B = $1360

A deck of cards contains RED cards numbered 1,2,3, BLUE cards numbered 1,2,3,4,5,6, and GREEN cards numbered 1,2. If a single card is picked at random, what is the probability that the card is GREEN AND has an ODD number? Provide the final answer as a fraction.

Answers

Answer:

8/15 because its 8 odd numbers out of 15 numbers all together

Which of the following values would complete the ordered pair if the point is on the graph of f(x) = -2x +3? (-1,_) (fill in the blank)
5
1
0
-4​

Answers

Answer:

(-1,5)

Step-by-step explanation:

f(-1) = -2(-1)+3 = 2+3 = 5 replace x with the x value given in the ordered pair which is (-1, _) where x = -1

Given the equation of a line is5x - 4y = 24
What is the slope of the line?
What is the y-intercept?

Answers

Answer:

the slope of the line is (5)/(4), and the y-intercept occurs at y = -6  (0, -6) on the plane

Step-by-step explanation:

In order to find the slope and y-intercept, we need to solve for y in the equation, and look at the coefficient accompanying the term in "x" (the slope), and at the pure numerical term (y-intercept):

5\,x-4\,y= 24\n5\,x-24=4\,y\ny=(5)/(4) \,x-(24)/(4) \ny=(5)/(4) \,x-6

Therefore the slope of the line is (5)/(4), and the y-intercept occurs at y = -6  (0, -6) on the plane

A rectangular prism has a length of 1 1/4 centimeters, a width of 4 cm, and a height of 3 1/4 cm. What is the volume of the prism

Answers

the equation to find the volume of a prism is volume=basexheight
*convert the lengths into decimals
first, you have to find the base (area=lengthxwidth)
a=1.25x4
a=5
now fill in the volume equation with the information you have.
v=5x3.25
v=16.25
the volume of the rectangular prism is 16.25 cm or 16 1/4 cm.
Hope I helped...