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otez555 [7]
3 years ago
9

Taylor has a $30 gift card that she can spend at the store. She has already bought a $9 picture frame, and she wants to buy $3 j

ournals with the leftover money on the card. How many journals can she buy without going over the card's limit? What is the variable
Mathematics
1 answer:
Lorico [155]3 years ago
7 0

Answer:

9

Step-by-step explanation:

total is 30

spent is $9

this is total money minus the amount of the picture frame

30-9

21 divide by 3

the total sum of journals bought was 9

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Tim installs 50 square feet of his floor in 45 minutes. At this rate, how long does it take him to install 495 square feet?
77julia77 [94]

Answer:

99.5 minutes

Step-by-step explanation:

50=45

495=?

495×45÷50=99.5

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3 years ago
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Andy's soccer team scored 5 goals in each of 7 games and 6 goals in another game.How many goals did Andy's team score?Write an e
rosijanka [135]

Answer:

Step-by-step explanation: 41

8 0
3 years ago
En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz
nadezda [96]

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

<em>d</em> = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

4 0
3 years ago
tana fills the prism shown (3 1/4 and 4 inch) with 110 1/2 in squared of liquid what is the height of the prism
mixas84 [53]
(X)(3.25)(4)= 110.5
4
(x)(3.25)= 27.625
3.25
x = 8.5
(8.5)(3.25)(4)= 110.5
5 0
3 years ago
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Can anybody help me with this?
r-ruslan [8.4K]
Study..................................................
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2 years ago
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