All categories

2 years ago

Simplify $9\cdot\frac{12}{7}\cdot \frac{-35}{36}$.

Mathematics

1 answer:

bazaltina [42]2 years ago

6 0

Answer:

$\boxed{\sf \ \ -15 \ \ }$

Step-by-step explanation:

Hello

$9\cdot\dfrac{12}{7}\cdot \dfrac{-35}{36}=-\dfrac{3*3*2*2*3*7*5}{7*3*2*3*2}=-15$

as 9=3*3

12=4*3=2*2*3

35=7*5

36*6*6=2*3*2*3

hope this helps

You might be interested in

What is 1.6 powered by 2

ss7ja [257]

Answer:

2.56

Step-by-step explanation:

1.6^2 = 1.6 * 1.6 = 2.56

7 0

2 years ago

Petrol costs 99p per litre. How much would 47 litres cost?

Radda [10]

Step-by-step explanation:

$99 \times 47 = 517 \times 9 = 4653$

6 0

2 years ago

A population of values has a normal distribution with μ = 158.9 μ = 158.9 and σ = 90.4 σ = 90.4 . You intend to draw a random sa

rosijanka [135]

Answer:

$P_{39}=133.68$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 158.9

Standard Deviation, σ = 90.4

We are given that the distribution is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.39

$P( X < x) = P( z < \displaystyle\frac{x - 158.9}{90.4})=0.39$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 158.9}{90.4} = -0.279\\\\x = 133.6784\approx 133.68$

$P_{39}=133.68$

133.68 separates the bottom 39% means from the top 61% means.

7 0

3 years ago

Installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. If the

VikaD [51]

Answer:

(a). $1465.42

(b). $214.58

Step-by-step explanation:

We have been given that installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. The interest rate is 1.25% per month on the unpaid balance.

(a) To find the cost of the TV, we will use monthly payment formula.

$R=\frac{Pi}{1-(1+i)^{-n}}$ , where,

R = Periodic payment,

P = Loan amount,

i = Monthly interest rate in decimal form,

n = Number of total payments.

$n=3\times 12=36$

$1.25\%=\frac{1.25}{100}=0.0125$

$30=\frac{P*0.0125}{1-(1+0.0125)^{-36}}$

$30=\frac{0.0125P}{1-(1.0125)^{-36}}$

$30=\frac{0.0125P}{1-0.6394091578134724264}$

$30=\frac{0.0125P}{0.3605908421865275736}$

$10.817725265595827208=0.0125P$

$0.0125P=10.817725265595827208$

$P=\frac{10.817725265595827208}{0.0125}$

$P=865.41802124766617664$

$P\approx 865.42$

We know that total cost of TV would be equal to down payment plus amount of loan that is:

$865.42+600=1465.42$

Therefore, the total cost of the TV would be $1465.42.

(b). First of all, we need to find total amount paid in 3 years by multiplying amount of each monthly payment by 36 (3 years equal to 36 months).

$\$30\times 36=\$1080$

To find the total amount of interest paid, we will subtract amount of loan from total payment.

$\$1080-\$865.42=\$214.58$

Therefore, the total amount paid in interest would be $214.58.

8 0

3 years ago

NEED HELP ASAP WILL GIVE BRAINLIEST

saveliy_v [14]

Answer: x=-2 and y=-2

Step-by-step-explaination:

To solve the system of equations you have to cancel out a variable. I chose to cancel out Y. First, the coefficients of y need to be the same in both equations. To do this multiply to the top equation by 2 so you get

2(2x) +2(y) = 2(-6)

4x + 2y = -12

Next, subtract the second equation from the first to cancel out the y’s

4x + 2y =-12

-(-8x + 2y = -12)

————————

12x = -24

Solve

X = -24/12

X=-2

Plug x into the original equation to find y

2(-2) + y = -6

-4 + y = -6

Y = -6 +4

Y=-2

You can substitute x and y into the original equations to double check

3 0

3 years ago