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1 year ago

PQ= 2x +1 and QR= 5x - 44; find PQ

Mathematics

2 answers:

Lena [83]1 year ago

6 0

2x+1=5x-44 that would be your equation

next start to simplify

subtract 1 from both sides so you are left with 2x=5x-45

then subtract 5x from both sides and you have -3x=-45

then finally divide -3 from -45 to get x=15

vova2212 [387]1 year ago

6 0

Answer:

$PQ=31\ units$

Step-by-step explanation:

we know that

In this problem Q is the midpoint of PR

$PQ=QR$

we have

$PQ=2x+1$ -----> equation A

$QR=5x-44$ -----> equation B

equate equation A and equation B

$2x+1=5x-44$

solve for x

$5x-2x=1+44$

$3x=45$

$x=15$

Find the value of PQ

$PQ=2x+1$ ------> $PQ=2(15)+1=31\ units$

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A student is raising money for cancer research. A local business agrees to donate an additional 25% of what the student raises,

bixtya [17]

Answer: 585 maybe??

Step-by-step explanation:

450/100 = 4.5

4,5 = 1 percent of the total amount.

4.5 x 25 = 112.5

112 = 25 percent of 450

4.5 x 5 = 22.5

22.5 = 5 percent of 450

Hope u understand and that this helps:)

4 0

1 year ago

1. Mac is about to sue his contractor who promised to install a water tank that holds 1880 gallons of water. Mac knows that 1880

zzz [600]

Answer:

option C.

Yes, the water tank is about 245 cubic feet too small

Step-by-step explanation:

step 1

Determine the volume of the cylindrical tank

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

Remember that

$1\ ft=12\ in$

we have

$r=6\ ft\\h=2\ ft\ 2\ in=2+(2/12)=\frac{13}{6}\ ft$

assume

$\pi =3.14$

substitute

$V=(3.14)(6)^{2}(\frac{13}{6})$

$V=244.92\ ft^3$

Compare with 251 cubic feet

$244.92\ ft^3 < 251\ ft^3$

therefore

Yes, the water tank is about 245 cubic feet too small

8 0

2 years ago

Sierra is selling bracelets to raise money for the Language Club at school. Each bracelet with yellow beads sells for $5. Each b

matrenka [14]

Answer:

Correct answer is:

$5y+6r=660\\y=2r+8$

Step-by-step explanation:

Given that Number of bracelets with yellow beads is represented by $y$

Each bracelet with yellow beads is sold for $5.

Total money raised by bracelets with yellow beads = Number of bracelets sold $\times$ Money raised by sale of one such bracelet = $5y$

Also Given that Number of bracelets with Orange beads is represented by $r$

Each bracelet with orange beads is sold for $6.

Total money raised by bracelets with orange beads = Number of bracelets sold $\times$ Money raised by sale of one such bracelet = $6r$

Given that total money raised by sale of both type of bracelets is $660.

so, the first equation becomes:

$5y+6r=660 ....... (1)$

It is also given that "<em>The number of bracelets with yellow beads that Sierra sold is 8 more than twice the number of bracelets with orange beads</em>"

$\Rightarrow r =2r+8 ...... (2)$

So, by equation (1) and (2), the system of equations is:

$5y+6r=660\\y=2r+8$

5 0

1 year ago

Jennifer has a bag of chips that contains 2 red chips and 1 black chip. If she also has a fair die, what is the probability that

fredd [130]

<span> the probability that she rolls an odd number AND and pulls a red chip

so it is = Prob(odd no) * Prob(red chip)

Prob(odd no) for a fair die = 1/2

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so the ans is 1/2 * 2/3 = 1/3

</span>

7 0

2 years ago

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Arte-miy333 [17]

Answer:

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Step-by-step explanation:

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2 years ago

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