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3 years ago

8

David needs a total of $400 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering

1 answer:

Nesterboy [21]3 years ago

8 0

400-40= $360

so he needs $360 more to buy a new bicycle

360/15 =24

therefore it will take him 24 weeks to earn $360 by selling newspapers

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PQ and RS are two lines that intersect at point T, as shown below: Two lines PQ and RS intersect at point T. Angles PTS and RTQ

inysia [295]

we know that

m∠PTS=m∠RTQ -----> by vertical angles

Step 1

m∠RTQ+m∠QTS= $180\°$ -------> by supplementary angles

solve for m∠QTS

m∠QTS= $180\°$ -m∠RTQ -------> equation $1$

Step 2

m∠PTS+m∠QTS= $180\°$ -------> by supplementary angles

solve for m∠QTS

m∠QTS= $180\°$ -m∠PTS -------> equation $2$

Step 3

equate equation $1$ and equation $2$

$180\°$ -m∠RTQ= $180\°$ -m∠PTS

-m∠RTQ=-m∠PTS

so

m∠RTQ=m∠PTS

therefore

<u>the answer is the option A</u>

Sum of the measures of angles RTQ and QTS is 180°

7 0

3 years ago

Read 2 more answers

Find the vertex of the graph of the function. f(x) = (x - 10)^2 + 2

larisa86 [58]

Vertex is the point where the graph of the function meets the x function.
This means that we know one of the coordinates of the vertex X=0 always.
We should calculate f(0) in order to find out point Y.
(0-10)^2=(-10)^2=100

4 0

3 years ago

Jimmy purchased 7 adult ticket and 6 student tickets for a total of $126. Jenny purchased 4 adult ticket and 2 student tickets f

xxTIMURxx [149]

Answer: The asnwer is so easy litteraly AOC 2024

Step-by-step explanation:

8 0

3 years ago

Julia is going to the store to buy candies. Small candies cost $4 and extra-large candies cost $12.She needs to purchase at leas

BartSMP [9]

Answer:

Small candies $=9$

Extra large candies $=12$

Step-by-step explanation:

Let small candies $=x$

Extra large candies $=y$

the number of candies is at least $20$ .

$x+y\geq20$

Cost of $1$ small candy $=\$4$

Cost of $1$ extra large candy $=\$12$

but she has only $\$180$ to spend

$4x+12y\leq180$

Solve for

$x+y=20.......(1)\\4x+12y=180.....(2)\\eqn(2)-eqn(1)\times4\\8y=100\\y=\frac{100}{8} \\y=\frac{25}{8} \\from\ eqn(1)\\x+\frac{25}{2}=20\\ x=20-\frac{25}{2} \\x=\frac{15}{2}$

Since number of candies should be integer.

let $x=7,y=13$

total spend $4\times7+12\times13=184$ which is more than $\$180$ , so this combination is not possible.

$let\ x=8,y=12\\8\times4+12\times12=176$

She has $\$4$ more so she can buy $1$ more small candy.

Hence small candy $=9$

extra large candy $=12$

4 0

3 years ago

the peach festival charges $5 for admission then$1.25 per pound of peaches picked. If Savanna went to the festival and picked 2.

Mumz [18]

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's do it step by step.

Already she has to pay $ $5$ for going in.

She has $2$ whole pounds.

$1.25$ x $2=2.5$ or $2 \frac{1}{2}$

Add $ $5$ and $ $2.5$ .

$5+2.5 = 7.5$

Now let's do $1.25 divided by 10.

$$$ $ $1.25$ divided by $ $10$ $=0.125$

Now let's do $0.125$ times $4$

$0.125$ x $4 = 0.5$

Now let's add 7.5 to 0.5

$7.5+0.5=8$

4 0

3 years ago