A is two years older than b who is twice as old as c. If the total of the ages of a, b and c be 27, then how old is b?.

Given the linear equation, y = 7x + 5: A} Write an equation of a line parallel to this line.

Lana71 [14]

Answer:y = 7x + 5

Step-by-step explanation: does it matter which point it goes through?

8 0

2 years ago

Amanda purchased a storage cube that has a volume of 4 cubic feet. She wants to put it on a bookshelf that is 12 inches tall. Wi

Sedbober [7]

The answer is No, the cube will not fit because 4 cubic feet is 48 inches, and the bookshelf is only 12 inches, Therefore, the cube is basically larger than the bookshelf. Hope this helps and sorry I’m late.

7 0

3 years ago

Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of

Anastaziya [24]

Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + 1

3 = 2 + 1

4 = 3 + 1

The number in bold (1) is that constant number which is added to a number to form its successive number.

To find the sum of series forming AP, we use the formula :-

$sum = \frac{n}{2} \{ a + a _{n} \}$

here,

n is the number of terms
a is the first number of the series
an is the last number of the series

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

$S = \frac{25}{2}\{ 1 +25\}$

$= \frac{25 \times 26}{2}$

$= 25 \times 13$

$= 325$

So, the value of S comes out to be 325.

8 0

2 years ago

Read 2 more answers

Please help me figure this out it’s due on 15 minutes

Olin [163]

Answer:

Step-by-step explanation:

1. area of square=10²=100 cm²

area of circle=πr²=π×2.5²=6.25π cm²

reqd. area=100-6.25π ≈80.375 cm²

2.

area of circle=π×2.5²=6.25π≈6.25×3.14≈19.625 cm²

area of rectangle=4×3=12 cm²

reqd. area=19.625-12≈7.625 cm²

3.

area of two circles=2×π×3²=18π≈18×3.14≈56.52 cm²

area of square=12²=144 cm²

reqd. area=144-56.52≈87.48 cm²

4.

area of smaller circle=π×4²=16π cm²

area of bigger circle=π×8²=64π cm²

area of two circles=16π+64π=80π cm²

diameter of bigger circle=4+4+8+8=24 cm

diameter of biggest circle=π×12²=144π

area of shaded region=144π-80π=64π≈200.96 cm²

5 0

2 years ago

Suppose that 20° of boys opted for mathematics and 40% of girls opted for mathematics. What is the probability that a student op

ankoles [38]

Answer: 30%

Step-by-step explanation:

Let A be the probability of a student opting for mathematics - it consists of either boy opting for mathematics or girl opting for mathematics. As there is "or" we need to sum these probabilities.

$P(A) = P(B)* P(M|G) + P(G)*P(M|G)$

$P(A) = \frac{1}{2} * \frac{20}{100} + \frac{1}{2} * \frac{40}{100}$

$P(A) = 3/10 = 0.3$

=> 30%

5 0

2 years ago