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3 years ago

(8m6+ 4m) + (5m-m + 7m6) + 2m(5m2)

Mathematics

1 answer:

sp2606 [1]3 years ago

7 0

Answer:

8m + 10m³ + 15m⁶

Step-by-step explanation:

Combine all like-terms:

4m + [5m - m] = 8m

7m⁶ + 8m⁶ = 15m⁶

2m[5m²] = 10m³ [According to the Product-to-Power Exponential Rule, whenever you multiply terms with exponents and coefficients, you add the exponents while you multiply the coefficients.]

All the like-terms have been paired up, and so you have your answer.

I am joyous to assist you anytime.

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There are 80 major sources of pollen in state A. These pollen sources are categorized as grasses, weeds, and trees. If the numb

Oxana [17]

Answer:

Grasses: 12

Weeds: 29

Trees: 39

Step-by-step explanation:

Let G, W and T represent number of grasses, weeds, and trees that are major pollen sources.

We have been given that there are 80 major sources of pollen in state A. We can represent this information in an equation as:

$G+W+T=80...(1)$

We are told that the number of weeds is 7 less than thrice the number of grasses. We can represent this information in an equation as:

$W=3G-7...(2)$

We are also told that the number of trees is 3 more than thrice the number of grasses. We can represent this information in an equation as:

$T=3G+3...(3)$

Upon substituting equation (2) and equation (3) in equation (1), we will get:

$G+3G-7+3G+3=80$

$7G-4=80$

$7G-4+4=80+4$

$7G=84$

$\frac{7G}{7}=\frac{84}{7}$

$G=12$

Therefore, there are 12 grasses that are major pollen sources.

Number of weeds that are major pollen sources:

$W=3G-7\Rightarrow 3(12)-7=36-7=29$

Therefore, there are 29 weeds that are major pollen sources.

Number of trees that are major pollen sources:

$T=3G+3\Rightarrow 3(12)+3=36+3=39$

Therefore, there are 39 trees that are major pollen sources.

6 0

3 years ago

Write an expression for the calculation divide 15 into thirds and subtract from 14 divided into half

Mazyrski [523]

15 ~ 3 - (14~2) just a note, this ~ means the division sign

3 0

4 years ago

Which sign makes the statement true is 1<,>,or =to -8

djverab [1.8K]

Answer:

1<-8

Step-by-step explanation:

From what i believe your asking 1<-8 is how it should go. Because a positive 1 is greater than a negative 8.Anyone correct me if im wrong...

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3 years ago

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Annie plants 6 rows of small flower bulbs in a garden. She plants 132 bulbs in each row. How many bulbs does Annie plant?

Maksim231197 [3]

She plants 792 bulbs

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3 years ago

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The length of a shadow of a tree is 150 feet when the angle of elevation of the sun is 39°. Approximate the height of the tree.

fomenos

Answer:

The height of tree is approximately 121.5 feet.

Step-by-step explanation:

We are given following in question:

Length of shadow = 150 feet

Angle of elevation of the sun =

$\theta = 39^\circ$

The tree and the shadow forms a right angled triangle.

Thus, with the help of trigonometric relation, we can write:

$\tan \theta = \dfrac{\text{Height of tree}}{\text{Length of shadow}}$

Let x feet be the height of tree.

Putting all the values, we get,

$\tan 39^\circ = \dfrac{x}{150}\\\\0.80978 = \dfrac{x}{150}\\\\\Rightarrow x = 150\times 0.80978\\\Rightarrow x = 121.467 \approx 121.5$

Thus, the height of tree is approximately 121.5 feet.

6 0

4 years ago