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3 years ago

What is the value of x?

Mathematics

1 answer:

viktelen [127]3 years ago

6 0

Answer:

x = 113

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

37+54+ x-24 = 180

Combine like terms

67+x = 180

Subtract 67 from each side

67-67+x = 180-67

x =113

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£440 is divided between David, Mark & Henry so that David gets twice as much as Mark, and Mark gets three times as much as H

Lesechka [4]

Mark received £ 132

Solution:

Given that £440 is divided between David, Mark & Henry

Let "d" be the share of david

Let "m" be the share of mark

Let "h" be the share of henry

Total amount is 440

Therefore,

share of david + share of mark + share of henry = 440

d + m + h = 440 ------- eqn 1

David gets twice as much as Mark

d = 2m ----- eqn 2

Mark gets three times as much as Henry

m = 3h

$h = \frac{m}{3}$ ------ eqn 3

Substitute eqn 2 and eqn 3 in eqn 1

$2m + m + \frac{m}{3} = 440\\\\\frac{6m + 3m + m}{3} = 440\\\\10m = 1320\\\\m = 132$

Thus Mark received £ 132

8 0

3 years ago

-6p + 30 = 12 please explain this problem please thankyou.

goblinko [34]

The answer is p=3, here is the process and the steps to find the answer.

7 0

3 years ago

Two bonds are available on the market as follows: Bond 1: Face value $250, 5 years to maturity at a (simple) interest rate of 5%

tester [92]

The value of r is 5.95%

Step-by-step explanation:

The formula of the simple interest is I = P r t, where

P is the initial amount of money
r is the interest rate in decimal
t is the time

Bond 1:

∵ The face value is $250

∴ P = 250

∵ The value is in the bond for 5 years

∴ t = 5

∵ The simple interest rate is 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ I = P r t

- Substitute the values of P, r and t in the rule

∴ I = (250)(0.05)(5) = 62.5

∴ The interest of Bond 1 is $62.5

Bond 2:

∵ The face value is $350

∴ P = 350

∵ The value is in the bond for 3 years

∴ t = 3

∵ The simple interest rate is r

∵ I = P r t

- Substitute the values of P and t in the rule

∴ I = (350)(r)(3) = 1050 r

∴ The interest of Bond 2 is 1050 r

∵ The both bonds yield the same interest to maturity

- Equate the interests of bonds 1 and 2

∵ 1050 r = 62.5

- Divide both sides by 1050

∴ r = 0.0595

- Multiply it by 100% to change it to percentage

∵ r = 0.0595 × 100% = 5.95%

∴ r = 5.95%

The value of r is 5.95%

Learn more:

You can learn more about interest in brainly.com/question/11149751

#LearnwithBrainly

3 0

3 years ago

at the bake sale the students earned $48.76. If there were 3 students, how much did each student earn?

Papessa [141]

Assuming each student was given equal compensation, take 48.76/3 = $16.25

5 0

3 years ago

Read 2 more answers

A set of data has a normal distribution with a mean of 5.1 and standard deviation of 0.9. Find the percent of data between 6.0 a

jolli1 [7]

The percent data between 6.0 and 6.9 would be 13.59%. Here’s the complete solution for this specific problem.

z = (X - Mean)/SD 
z1 = (6 - 5.1)/09 = + 1 
z2 = (6.9 - 5.1)/09 = + 2 
Required Percent = P(6 < X < 6.9)*100 
= P(1 < z < 2)*100 
= [P(z < 2) - P(z < 1)]*100 
= [0.9772 - 0.8413]*100 
= 0.1359*100 
= 13.59%

I am hoping that this has answered your query.

5 0

3 years ago