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3 years ago

May someone please help with the way please

Mathematics

1 answer:

Oksana_A [137]3 years ago

5 0

Answer:

17.6 m²

Step-by-step explanation:

Given the ratio of similar shapes = a : b, then

area of shapes = a ² : b²

Δ PTQ and Δ PRS are similar and so the ratio of corresponding sides are equal, that is

PT : PR = 6 : 9 = 2 : 3, thus

ratio of areas = 2² : 3² = 4 : 9

let the area of Δ PQT be x, then using proportion

$\frac{4}{x}$ = $\frac{9}{x+22}$ ( cross- multiply )

9x = 4(x + 22) ← distribute

9x = 4x + 88 ( subtract 4x from both sides )

5x = 88 ( divide both sides by 5 )

x = 17.6

Thus area of Δ PQT = 17.6 m²

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Caroline earns $49000 a year, and her friend Jennifer earns $51000 a year but doesn't belong to a health fund. The tax rule this

Lina20 [59]

Answer:

Caroline has to pay $8600 taxes

Jennifer has to pay $10320 taxes

Step-by-step explanation:

I guess the question is who has to pay how much taxes, right ?

Caroline earns $49000, and I guess, she belongs to a health fund.

she has to pay $5000 for the first $40000.

and for the remaining $9000 she has to pay $0.40 per dollar.

that means 9000×0.4 = $3600

and no penalties for no health fund.

so altogether $5000 + $3600 = $8600 taxes

Jennifer earns $51000 and did not belong to a health fund.

she has to pay $9000 for the first $50000.

and for the remaining $1000 she had to pay $0.30 part dollar.

that means 1000×0.3 = $300

and 2% of the total income because no health fund

51000×0.02 = $1020

so, altogether $9000+$300+$1020 = $10320 taxes

5 0

2 years ago

Plz help me do this math problem

Afina-wow [57]

For 100 people, we will need 100/25=4 times the listed quantities.

Saussage rolls = 50*4 = 200 saussage rolls
Sandwiches = 75*4 = 300 sandwiches
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6 0

3 years ago

Read 2 more answers

Explain your answer !! Have a nice day Will give braisnlt

11111nata11111 [884]

Answer:

The price of hot dog is $2.5 and that of a pretzel is $1.25.

Step-by-step explanation:

Let the cost of hotdogs be x and that of pretzels be x.

So,

4x+3y = 13.75 ...(1)

and

2x+5y = 11.25 ...(2)

Multiply equation (2) by 2.

4x+10y = 22.5 ...(3)

Subtract equation (1) from (3).

4x+10y-(4x+3y) = 22.5-13.75

4x+10y-4x-3y = 8.75

7y = 8.75

y = 1.25

Put the value of y in equation (1).

4x+3(1.25) = 13.75

4x+3.75 = 13.75

4x = 13.75-3.75

4x = 10

x = 2.5

So, the price of hot dog is $2.5 and that of a pretzel is $1.25.

3 0

2 years ago

a survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. Th

Feliz [49]

I fear that there is an error copying your assignment.
65% of the students walked. Are all of the other students on buses? Are there both public buses AND private buses?
Assuming that you need to know BOTH kinds of buses, try this:

65% of the students walked, so since 100% - 65% = 35% then this means that 35% of the students were on buses.
Since we know that there are 360 more walkers than bus riders, then one equation we know is: 65% of S = 360 + 35% of S (let S = total # of students)
.65 S = 360 + .35 S
 - .35 S = - .35 S Subtract .35 S from both sides
 .30 S = 360 Divide both sides by .30 (or .3)
.30 .30
S = 1,200 so we know that this is the total number of students, but that is not what was asked.
They want to know how many are on buses and specifically how many are on public buses, if I read this correctly.
Since the walkers = 65% of 1,2000 and we know of means TIMES, then
.65 (1,200) = 780 walkers
1,200 total students minus 780 walkers = 420 bus riders

Now, if there is not a misprint and we really have to figure out the public bus riders as compared to the private bus riders, then remember the ratio from above in the question: 4 bus: 3 public buses
Now if I read this right, that means that 3/4ths of the bus riders were on public buses
so 3/4 of 420 means 3/4 times 420 = 3 times 105 = 315 public bus riders (which coincidentally leaves 105 private bus riders, but since they are private we don't know much about them. Ha-Ha..... I made a lame joke.)

So your answer is 315 public bus riders

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melisa1 [442]

Answer:

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