All categories

4 years ago

Given: marked, PQ=8 PR=2x, TU=2z+3, ST=5z Find: PR and ST

Mathematics

1 answer:

Ivenika [448]4 years ago

5 0

Answer:

PR=8; ST=5

Step-by-step explanation:

Find PR:

PQ=PR

8=2x

x=4

PR=2x=2(4)=8

Find ST:

TU=ST

2z+3=5z

3=3z

z=1

ST=5z=5(1)=5

You might be interested in

280 pages; 20% decrease

vitfil [10]

The answer would be 224 pages!

5 0

3 years ago

Read 2 more answers

a company can make 5000 crayons in 6 minutes how many crayons can be made in 3 hours. please show the steps!

Sloan [31]

6 mins goes into 60 mins ten times.
so, first do
$5000 \times 10 = 50000$
now 50000 crauons are being made in 1 hour but your are trying to find how many crayons are being made in 3 hours
so, you multiply
$50000 \times 3 = 150000$
150000 is how many crayons are made in 3 hours.

7 0

3 years ago

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,783 was collected on the sale of 1,235 ticket

choli [55]

A = the number of adult tickets

S = the number of student tickets

[you can use different variables x, z, t, etc...]

5A + S = 2783 [$5 per adult plus $1 per student = total $2783]

A + S = 1235 [# of adults plus # of students = 1235]

To find A and S, you need to do substitution. First isolate one of the variables using either one of the equations, I will isolate the A in A + S = 1235:

A + S = 1235 Subtract S on both sides of the equation

A = 1235 - S

Next substitute/plug in (1235 - S) for A to find the value of S:

5A + S = 2783 [isolate/get S by itself in the equation]

5(1235 - S) + S = 2783 Distribute/multiply 5 into (1235 - S)

(5)1235 - (5)S + S = 2783

6175 - 5S + S = 2783 Combine like terms (-5s and S)

6175 - 4S = 2783 Subtract 6175 on both sides

-4S = -3392 Divide -4 on both sides

S = 848

Now that you found S, you can use it to find A:

A + S = 1235

A + 848 = 1235 Subtract 848 on both sides

A = 387

S = 848 student tickets

A = 387 adult tickets

6 0

3 years ago

Harry walks to a produce market to buy bananas. If a pound of bananas costs $0.49, how much will Harry pay for 3 pounds of banan

romanna [79]

Answer:

1.47

Step-by-step explanation:

it will be 1.47 for three pounds

4 0

3 years ago

Read 2 more answers

1 - 500 principal earning 4% compounded quarterly, after 6 year.

Keith_Richards [23]

You'll have <span>$634.87 after 6 years at 4% compounded quarterly, thus B:
You'll have </span><span>$3,619.80 after 6 months at 6.75% compounded monthly, thus A:

</span>Formulas where n = 1 (compounded once per period or unit t)
1. Calculate Accrued Amount (Principal + Interest) A = P(1 + r)^t
2. Calculate Principal Amount, solve for P. P = A / (1 + r)^t
4. Calculate the rate of interest in decimal, solve for r. r = (A/P)1/(^t - 1)
5. Calculate rate of interest in percent. ...Calculate time, solve for t.

4 0

3 years ago