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2 years ago

9

You call two car rental companies to find out their rental prices Company A charges $75 plus $.30 per mile and Company B charges

$80 plus $.25 per mile. If you are traveling 150 miles, which company gives you the better deal?

1 answer:

eduard2 years ago

5 0

Company A= 75+•30x150=120
Company B= 80+•25x150=117.50
Altogether company A gives the better deal at $117.50

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The sum of the areas of two circles is 80 pie square meters. Find the length of a radius of each circle if one of them is twice

Svetach [21]

Answer:

The radius of the circles are $4\ m$ and $8\ m$

Step-by-step explanation:

Let

x-----> the radius of larger circle

y----> the radius of smaller circle

we know that

$\pi x^{2} +\pi y^{2}=80\pi$

$x^{2} +y^{2}=80$ -----> equation A

Remember that

$x=2y$ -----> equation B

substitute equation B in equation A and solve for y

$(2y)^{2} +y^{2}=80$

$4y^{2} +y^{2}=80$

$5y^{2}=80$

$y^{2}=16$

$y=4\ m$

Find the value of x

$x=2y$

$x=2(4)=8\ m$

therefore

The radius of the circles are $4\ m$ and $8\ m$

4 0

3 years ago

Abcd is a rectangle if DB=26 and DC=24 find bc

Anettt [7]

Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

Let's first establish that triangle BCD is a right-angle triangle.

Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:

a^2 + b^2 = c^2

Where c = hypotenus of right-angle triangle

Where a and c = other two sides of triangle

Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:

Let a = BC

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

a^2 + 24^2 = 26^2

a^2 = 26^2 - 24^2

a = square root of ( 26^2 - 24^2 )

a = square root of ( 676 - 576 )

a = square root of ( 100 )

a = 10

Therefore, as a = BC, BC = 10.

If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:

a = BC = 10

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

10^2 + 24^2 = 26^2

100 + 576 = 676

676 = 676

FINAL ANSWER:

Therefore, BC is equivalent to 10.

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3

7 0

3 years ago

Write 9 decimals with three decimal places that when rounded to the nearest tenth round to 1.3

zmey [24]

1.291
1.251
1.341
1.331
1.321
1.311
1.281
1.271
1.261

6 0

3 years ago

Read 2 more answers

How many meters are in 20 yards ?

Dafna1 [17]

Answer:

18.288

Step-by-step explanation:

4 0

3 years ago

What’s the 5th term is 2,14,98

iragen [17]

$\bold{\huge{\orange{\underline{ Solution }}}}$

<h3><u>Correct </u><u>Question </u><u>:</u><u>-</u></h3>

What is the 5th term of an AP 2 , 14 ....98 .

<h3><u>Given </u><u>:</u><u>-</u><u> </u></h3>

<u>We </u><u>have </u><u> </u><u>AP</u><u>, </u>

$\sf{ 2 , 14 ,.... 98 }$
<u>AP </u><u>is </u><u>the </u><u>arithmetic </u><u>progression </u><u>or </u><u>a </u><u>sequence </u><u>of </u><u>numbers </u><u>in </u><u>which </u><u>succeeding </u><u>number </u><u>is </u><u>differ </u><u>from </u><u>preceeding </u><u>number </u><u>by </u><u>a </u><u>common </u><u>value</u><u>. </u>

<h3><u>Solution </u><u>:</u><u>-</u></h3>

<u>We </u><u>have </u><u>an </u><u>AP </u><u>:</u><u>-</u><u> </u><u>2</u><u> </u><u>,</u><u> </u><u>1</u><u>4</u><u> </u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>9</u><u>8</u>

<u>Therefore</u><u>, </u>

$\sf{a1\: or \:1st\: term = 2 }$
$\sf{a2 \:or \:2nd\: term = 14 }$
$\sf{an \:or\: last\: term = 98}$

<u>Here</u><u>, </u>

Common difference of an AP

$\sf{ a2 - a1 }$

$\sf{ = 14 - 2}$

$\sf{ = 12}$

Thus, The common difference is 12

<u>Now</u><u>, </u>

We know that,

$\sf{an = a1 + ( n - 1 )d}$

$\sf{a5 = 2 + ( 5 - 1 )12}$

$\sf{a5 = 2 + 4 × 12}$

$\sf{a5 = 2 + 48}$

$\sf{\red{a5 = 50}}$

Hence, The 5th term of given AP is 50

4 0

2 years ago