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3 years ago

Multiple choice question in the picture

Mathematics

1 answer:

BartSMP [9]3 years ago

3 0

The answer is B i think, sorry if i am wrong

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Find three consecutive integers such that three times the sum of the first two is eight more than 5 times the third.

klasskru [66]

Consecutive integers are numbers one after the other on the number one (ie. 1,2,3,4,5 or 203,204,205).

times= multiplication
sum= addition
more than= addition
is= equal sign

x= first integer
x+2= second integer
x+3= third integer

3(x + (x + 2))= 5(x + 3) + 8
add inside parentheses

3(2x + 2)= 5(x + 3) + 8
multiply 3 and 5 by their parentheses

(3*2x) + (3*2)= (5*x) + (5*3) + 8
multiply in parentheses

6x + 6= 5x + 15 + 8

6x + 6= 5x + 23
subtract 5x from both sides

x + 6= 23
subtract 6 from both sides

x= 17 first integer

x + 1= 17 + 1= 18 second integer

x + 2= 17 + 2= 19 third integer

CHECK:
3(x + (x + 2))= 5(x + 3) + 8
3(17 + (17 + 2))= 5(17 + 3) + 8
3(17 + 19)= 5(20) + 8
3(36)= 100 + 8
108= 108

ANSWER: The three consecutive integers are 17, 18 and 19.

Hope this helps! :)

7 0

3 years ago

List all the ways to select two members from S with repetition. The order in which the members are selected is not important. Fo

nexus9112 [7]

Answer:

15 ways

Step-by-step explanation:

We are given that a set S={E,F,G,H,J}

We have to find the number of ways to select two members from S with repetition.

Combination formula

$\binom{n}{r}=\frac{n!}{r!(n-r)!}$

We have n=5 , r= 2

Number of ways in which two members from S can be selected when repetition is not allowed= $5C_2=\frac{5!}{2!(5-2)!}$

Number of ways in which two members from S can be selected when repetition is not allowed= $\frac{5\times4\times3!}{2\times1 3!]$

Number of ways in which two members from S can be selected when repetition is not allowed= $5\times 2=10$

When a member repeat then combination

{E,E},{F,F},{G,G},{H,H},{J,J}

There are 5 combination when a member is repeat and select two members from S.

Total number of ways in which to select two members from S with repetition =10+5=15 ways

3 0

4 years ago

oshua wants to buy a flat-screen TV that costs $625. He saves $62.50 each week to buy the TV. In how many weeks will he have eno

oee [108]

Answer:

ten weeks

Step-by-step explanation:

62.50 multiped by 10 moves the decimal over 1 to the right which makes it 625 :)

4 0

2 years ago

Easy 6th grade math! Please help!

Pie

Answer:

Step-by-step explanation 10 + 2.50d = 850

David starts with $10 and each day he earns $2.50. The d represents a variable and can be any number.

To find d you must solve the equation.

10 + 2.50d = 850

2.50d = 840 (subtract 10 from 850)

d = 336 (divide 840 by 2.50)

It will take David 336 days to save $850.

3 0

4 years ago

How do i write 11.132 in words

stepladder [879]

Answer:

eleven point one hundred thirty two

Step-by-step explanation:

11 . 132

eleven point one hundred thirty two

3 0

4 years ago