Use the figure to the right to find the value of PT. T is the midpoint of PO.

PT = 4x + 7 and TQ = 8x - 5

PT=

(Simplify your answer.)

Answer:

His income was 8000 rupees

Step-by-step explanation:

We must find his income so let that be x

We take 100%-5% = 95%

Turn this 95% into a decimal which is 0.95

So:

x * 0.95 = 7600

Rearrange this to give x:

x = 7600/0.95

x = 8000 rupees

The man's income is Rs. 8000. He has been left with 95 percent of his income = Rs. 7600.

Percentages are fractional values where the total amount is taken as 100.

25% of a quantity means 25/100 of that quantity.

In the question, we are informed that after paying 5% of income, a man is left with Rs. 7600.
We are asked to find his income.

We are given that a man pays 5% of his income, so he will be left with (100-5)% = 95% of his income as percentages are taken over a total of 100.

We assume the man's total income to be Rs. Y.

∴ We can say that the man is left with 95% of Y.

We know the man is left with Rs. 7600. So we can write this case as:

95% of Y = 7600

or, 95/100 of Y = 7600

or, (95/100)*Y = 7600

or, Y = (7600*100)/95 = 760000/95 = 40000/5 = 8000.

∴ The man's income is Rs. 8000. He has been left with 95 percent of his income = Rs. 7600.

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Answer:

y = -4x + 3

Step-by-step explanation:

m = slop

b = y-int

y = mx + b

Answer:

A Blue Viper

Step-by-step explanation:

A Blue Viper can travel 18 2/5 miles on 4/5  tank of gas.

It can travel on full tank:

A Red Rocket can travel 17 2/5 miles on 3/4 tank of gas.

It can travel on full tank:

A Blue Viper can travel further as:

Answer: The original price was  $125

Step-by-step explanation:

If an item is on sale for $100 and it was discounted by 20%  then we could set up an equation and solve for the original price.

Remember if there were 20% discount then 80% of the price will be left.

80% * x = 100    

0.8x =100

x = 125

Step-by-step explanation:

We have :

• Selling Price = $100

• discount = 20%

As we know

• Selling Price = Cost - Discount

Now we have

• Discount = 20%

Let cost be x

→ Selling Price = x - 20% of x

→ selling price = 80% of x

→ 80% of x = 100

→ 80/100 x = 100

→ x = 100 × 100 / 80

→ x = $ 125

Answer:

There are 46 more skiers than snowboarder

Step-by-step explanation:

Given

Ratio of Snowboarders to Skiers

On Friday:

[tex]Ratio = 8 : 3[/tex]

On Saturday:

[tex]Ratio = 4 : 7[/tex]

Population = 168

Required

Determine the difference in the number of skiers and snowboarders on Saturday

On Saturday, we have

[tex]Ratio = 4 : 7[/tex]

Calculate Total

[tex]Total = 4 + 7[/tex]

[tex]Total = 11[/tex]

Calculate the number of skiers

[tex]Skiers = \frac{7}{11} * 168[/tex]

[tex]Skiers = \frac{1176}{11}[/tex]

[tex]Skiers = 107[/tex] (Approximated)

Calculate the number of snowboarders

[tex]Snowboarders = \frac{4}{11} * 168[/tex]

[tex]Snowboarders = \frac{672}{11}[/tex]

[tex]Snowboarders = 61[/tex] (Approximated)

Calculate the difference

[tex]Difference = 107 - 61[/tex]

[tex]Difference = 46[/tex]

Hence, there are 46 more skiers than snowboarder

Answer:63

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

Answer:

I think so

Step-by-step explanation:

I think all numbers are technically natural

Answer:

true

Step-by-step explanation:

16,000 / 10 = 1,600

Answer:

60

Step-by-step explanation:

Answer:

1=27

2=34

Step-by-step explanation:

1)9y power 2÷3

or, y=9 power 2÷3

or, y=9×9÷3

or, y=81÷3

or, y=27

2) (8x power 2+4x)÷2

=(8x×8+4x)÷2

=(64x+4x)÷2

=68x÷2

or, x=68÷2

or, x=34

Answer:

It's D) 97°

Step-by-step explanation:

Just stick this in ya brain

Supplementary angles => sum => 180

Answer:

D

Step-by-step explanation:

So, we know that ∠XYZ and ∠PQR are supplementary angles. This means that their total sum is 180 degrees. In an equation, this is:

[tex]\angle PQR+\angle XYZ=180[/tex]

Since we already know the measure of PQR, substitute 83 for PQR:

[tex]83+\angle XYZ=180[/tex]

Subtract 83 from both sides:

[tex](83+\angle XYZ)-83=(180)-83\\\angle XYZ=97\textdegree[/tex]

The answer is D

Answer:

Population: A) All woman in the country

Step-by-step explanation:

Sample: A) The 1004 woman selected

Answer:

$18 per week

Explanation:

google

The amount that is withheld weekly for federal income tax is $52.25

Federal Insurance Contribution Act is the legal organization used in the United States which contain the rules and regulations applied for calculating payroll taxes on the paychecks of the employee. The tax process is contributed by both the employees as well as the employers for funding the social security and Medicare programs.

The rate of federal tax withheld for the weekly paycheck is:

= 6.2% of social security + 1.45% for medicare

= 7.65% of the gross weekly pay.

If Beverly Hibbs earns $683.00 a week, the amount withheld weekly by the Federal income tax is:

= 0.0765 × 683

= $52.25

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Answer:

x > 23

Step-by-step explanation:

5x – 1 < 7x - 47​

Add 1 to -47, you get -46.

5x < 7x - 46

Subtract 7x from 5x.

-2x < -46

Multiply both sides to reverse the inequality.

2x > 46

Divide both sides by 2.

x > 23

Answer:

The answer is C in my opinion and it is one of confusing question i have ever seen

Step-by-step explanation:

If he scored 351 points last years and he plays 18 games this year and if we want to know the points that he need to beat last year score in thsi year we need to divide 351÷18=19.5 so he will need to have no morethan 20 points because 19.5 is also enough to get the score

I hope u like it

Answer:

Step-by-step explanation:

[tex]4+3\left(15-2^3\right)\\\\3\left(15-2^3\right)=21\\\\=4+21\\\\=25[/tex]

Answer:

25

Step-by-step explanation:

4+3(15-2^(3)

4+3(15-(2*2*2)

4+3(15-8)

4+3(7)

4+21=25

Answer:

make x the subject of formula then = 6/48

Answer:

40th term = 241.

Step-by-step explanation:

17th term:

=  a1 + 16d = 80

12th term

=  a1 + 11d = 45       Subtracting the 2 equations:

5d = 80 - 45 = 35

d = 7

and a1 + 16(7) = 80

a1 = 80 -112 = -32.

Therefore the 40th term = -32 + 39*7

= 241.

Answer:

I think the value of x might be 127°

Given :

Monthly practice time , T=35 hours .

This month, he has practiced 8.5 hours in week 1, 12 hours in week 2, and 5.5 hours in week 3.

To Find :

Many more hours of practice time does Jason need to complete .

Solution :

Number of hours he practice in week 1 , [tex]t_1=8.5\ hours[/tex] .

Number of hours he practice in week 2 , [tex]t_2=12\ hours[/tex] .

Number of hours he practice in week 3 , [tex]t_3=5.5\ hours[/tex] .

Now , number of hours left is :

[tex]t=T-t_1-t_2-t_3\\\\t=35-(8.5+12+5.5)\ hours\\\\t=8\ hours[/tex]

Hence , this is the required solution .

Answer:

x = 11/c

Step-by-step explanation:

To solve this equation for x, we simply need to apply equation operations and isolate the x variable.

cx - 4 = 7

cx - 4 + 4 = 7 + 4

cx = 7 + 4

cx = 11

cx * (1/c) = 11 * (1/c)

x = 11 * (1/c)

x = 11/c

Cheers.

Answer:

Step-by-step explanation:

The real part is everything that does not multiply i. The imaginary part is everything that does multiply i.

Conventionally, the real part is written first:

  z = -32 +73i

Re(z) = -32

Im(z) = 73

Answer:

because if u divide the top and bottom by 5, you'll get 2/5

Step-by-step explanation:

Answer: Porque dividir ambos por 5 y eso es lo más bajo que pueden ir

Step-by-step explanation:

10 / 5 = 2

25 / 5 = 5

Answer:

w = 9

Step-by-step explanation:

We can use ratios to solve

2        3

---- = ------

6         w

Using cross products

2w = 3*6

2w = 18

Divide by 2

w = 9

Answer: 10 Feet by 15 Feet

Step-by-step explanation: