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Alex
3 years ago
12

Blake wants to break apart the 7 in 5 × 7. Complete the equation to show two different ways Blake could break apart the 7. Choos

e the numbers in the box. Numbers may be used more than once. 5 × 7 = 5 × ( 5 + _ ) 5 × 7 = 5 × ( __ + __ )

Mathematics
1 answer:
Aleks [24]3 years ago
5 0
5+2=7, so the first blank is 2. 
For the second blank, you just need two numbers in the box that when added, equals 7. (So 1,6 or 3,4)
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The base of the triangle decreases by 30% and the height increases by 20%.
sergeinik [125]

Answer:

Area decreases by 16%

Step-by-step explanation:

Use formula for the area of the triangle

A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}

<u>Initial triangle:</u>

The base is 18 cm

The height is 5 cm

The area is

A_{initial}=\dfrac{1}{2}\cdot 18\cdot 5=45\ cm^2

<u>New triangle:</u>

The base is (1-0.3)\cdot 18=0.7\cdot 18=12.6\ cm

The height is (1+0.2)\cdot 5=1.2\cdot 5=6\ cm

The area is

A_{new}=\dfrac{1}{2}\cdot 12.6\cdot 6=37.8\ cm^2

Area decreases by

100\%-\dfrac{37.8}{45}\cdot 100\%=100\%-84\%=16\%

5 0
3 years ago
4/9 divided by what equals 12
Dahasolnce [82]
(4/9)/x= 12

Multiply both sides by x
4/9=12x

Divide both sides by 12
(4/9)*(1/12)= 4/108
4/108= 1/27

Final answer: 1/27
5 0
3 years ago
Ace Cars says they will pay Jim a 10% commission on the sale price of each car. Budget Cars says they will pay him $500 per week
Arisa [49]

Answer:

  $20,000

Step-by-step explanation:

You can quickly figure this by recognizing that the difference in commission must be the same as the base salary:

  2.5%(car price) = $500

  car price = $500/0.025 = $20,000

__

If you prefer, you can get there with equations.

At Job 1, the pay is ...

  y = 10%×(car price)

At Job 2, the pay is ...

  y = 7.5%×(car price)

Setting the equal (the two opportunities pay the same), we have ...

  0.10(car price) = 500 +0.075(car price)

  0.025(car price) = 500 . . . . . . . . subtract 0.075(car price)

  car price = 500/0.025 = 20,000 . . . . divide by 0.025

Jim would have to sell a $20,000 car each week for the jobs to pay the same.

8 0
3 years ago
The bacteria took 1 hour and 40 minutes to fill the initial bottle. Explain how it only took 10 minutes to fill 3 additional emp
geniusboy [140]
Bacteria growth occurs exponentially; bacteria divides into 2 every t minutes (similar to the penny doubling every day story). If one gets filled, and the contents divides once, there will be enough for 2 bottles; when these two are ready to divide, there will be enough for 4. This growth process begins very slowly - 1, 2, 4, 8, 16, 32; but it soon speeds up greatly, 64, 128, 256, 512, 1024, 2048.
6 0
3 years ago
Read 2 more answers
For questions 8 – 10, answer the questions about tangent-tangent angles.
olchik [2.2K]

Answer:

m(arc ZWY) = 305°

Step-by-step explanation:

8). Formula for the angle formed outside the circle by the intersection of two tangents or two secants is,

Angle formed by two tangents = \frac{1}{2}(\text{Difference of intercepted arcs})

                                                   = \frac{1}{2}(220-140)

                                                   = \frac{1}{2}(80)

                                                   = 40°

9). Following the same rule as above,

Angle formed between two tangents = \frac{1}{2}(\text{Difference of intercepted arcs})

125 = \frac{1}{2}[m(\text{major arc})-m(\text{minor arc})]

250 = [m(\text{arc ZWY})-m(\text{arc ZY})]

250 = m(arc ZWY) - 55

m(arc ZWY) = 305°

Therefore, measure of arc ZWY = 305° will be the answer.

10). m(arc BAC) = \frac{1}{2}([m(\text{arc BDC})-m(\text{arc BC})])

                          = \frac{1}{2}(254-106)

                          = \frac{148}{2}

                          = 74°

4 0
2 years ago
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