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2 years ago

A teacher has a box of 88 colored pencils. He gave 46 away. The teacher put the rest of the colored pencils into 7 equal groups

Mathematics

1 answer:

erastova [34]2 years ago

7 0

Answer:

6 pencils in each group

Step-by-step explanation:

Total = 88

Gave away = 46

Balance = 88 - 46 = 42

Divided into 7 groups, means : 42/7 = 6

So each group has 6 pencils

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Please answer my questions is really easy but idk

GrogVix [38]

Given:

$m \angle A B D=96^{\circ}$

$m \angle 2 =m \angle 1+ 26^{\circ}$

To find:

$m \angle 1$

Solution:

$m \angle DBC+ m \angle CBA = m \angle ABD$

$m \angle 1+ m \angle 2 = m \angle ABD$

Substitute $m \angle 2 =m \angle 1+ 26^{\circ}$ .

$m \angle 1+ m \angle 1 + 26^\circ = 96^\circ$

$2m \angle 1+ 26^\circ = 96^\circ$

Subtract 26° from both sides.

$2m \angle 1+ 26^\circ -26^\circ = 96^\circ -26^\circ$

$2m \angle 1 = 70^\circ$

Divide by 2 on both sides, we get

$m \angle 1=35^{\circ}$

Therefore, m∠1 = 35°.

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3 years ago

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A ladder leans against a 22-feet-tall apple tree. The base of the ladder forms a 42° angle with the ground. Approximately how ta

igomit [66]

(D) 33 feet

<u>Explanation:</u>

Given:

Height of the tree, h = 22 feet

angle, θ = 42°

Length of the ladder, l = ?

We know:

sin θ = Perpendicular / hypotenuse

So,

Sin θ = height of the tree / length of the ladder

$sin 42^0 = \frac{22}{l} \\\\0.67 = \frac{22}{l} \\\\l = 32.84 feet$

l = 32.84 feet ≈ 33 feet

Therefore, the length of the ladder be to reach the top of the apple tree is 33 feet.

6 0

2 years ago

Which equations model exponential growth?

elena-s [515]

P = A(1+r)^x

where P is the population at time x
A is the initial population and r is the growth/decay rate. Growth will be +positive r number added to the 1. Where as decay subtracts r. So any answers that are > than 1 which is answers A and B.

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2 years ago

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Whats the negation of this statement<br><br> x+y=10

attashe74 [19]

X = 10 - y

I hope this helps.:)

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3 years ago

The rectangle shown as a perimeter of 70 cm and the given area. It’s length is 8 more than twice it’s width. Write and solve a s

Olenka [21]

width of the rectangle = b = x

length of the rectangle = l = 8 + 2x

Perimeter of the rectangle = 70cm

Also, perimeter of the rectangle = 2(l + b)

70 = 2[x + (8 + 2x)]

70 = 2(x + 8 + 2x)

70 = 2(3x + 8)

70 = 6x + 16

70 - 16 = 6x

54 = 6x

54/6 = x

9 = x

Therefore, b = x

b = 9cm

l = 8 + 2x

I = 8 + 2×9

I = 8 + 18

I = 26cm

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2 years ago