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Daniel [21]
3 years ago
11

Houston got a summer job with his friend Nelson. The both work by cutting grass. At the end of the summer both boys wanted to sa

ve 2400 together to buy themselves a car. At the end of the summer Houston had lost half of his earnings which was 1800. They were still able to save enough money to reach 2400. How much did Nelson save? *
Mathematics
1 answer:
slega [8]3 years ago
8 0
Cos 55°
0.9735
Tggygggghggg Tggygggghggg Tggygggghggg Tggygggghggg
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Oblicz.Pamiętaj o kolejności wykonywania działań
SashulF [63]

Answer:

33.275

Step-by-step explanation:

<u>1 step:</u> Difference in brackets

3.5-2\dfrac{1}{3}=3\dfrac{1}{2}-2\dfrac{1}{3}=(3-2)+\left(\dfrac{1}{2}-\dfrac{1}{3}\right)=1+\dfrac{3-2}{3\cdot 2}=1+\dfrac{1}{6}=1\dfrac{1}{6}

<u>2 step:</u> 0.75\div\dfrac{1}{3}

0.75\div\dfrac{1}{3}=\dfrac{75}{100}\div \dfrac{1}{3}=\dfrac{3}{4}\times \dfrac{3}{1}=\dfrac{9}{4}

<u>3 step:</u> 1.28\div 0.04

1.28\div 0.04=128\div 4=32 \ \text{Move point two decimal places}

<u>4 step:</u>

2\dfrac{1}{4}\times 1\dfrac{1}{6}=\dfrac{2\cdot 4+1}{4}\times \dfrac{1\cdot 6+1}{6}=\dfrac{9}{4}\times \dfrac{7}{6}=\dfrac{63}{24}=\dfrac{21}{8}

<u>5 step:</u>

\dfrac{9}{4}+32-\dfrac{21}{8}+1.65=(32+1.65)+\left(\dfrac{9}{4}-\dfrac{21}{8}\right)=33.65+\dfrac{9\cdot 2-21}{8}=33.65-\dfrac{3}{8}=33.65-0.375=33.275

6 0
3 years ago
Proportions in Triangles (5)
slava [35]

Answer:

  3 1/3

Step-by-step explanation:

Right side segments are proportional to left side segments:

  5/6 = x/4

  x = 4·5/6 = 3 1/3 . . . . . multiply by 4

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Answer:

x = 20

Step-by-step explanation:

The angles shown are alternate exterior angles.

Alternate exterior angles are congruent

This means that 46 must equal 3x - 14

Note that we've just created an equation that we can use to solve for

We now use the equation to solve for x

3x - 14 = 46

add 14 to both sides

3x - 14 + 14 = 46 + 14

simplify

3x = 60

Divide both sides by 3

3x / 3 = x

60 / 3 = 20

We get that x = 20

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3 years ago
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olga55 [171]

Answer:

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Step-by-step explanation:

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Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation
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