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aliya0001 [1]
3 years ago
14

Write a unit rate that compares the quantities. 18 carrots in 6 bunches

Mathematics
1 answer:
storchak [24]3 years ago
6 0

Answer:

3 Carrots per One Bunch

Step-by-step explanation:

18 divided by 6

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Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the
butalik [34]

Answer:

A- 6 + 2(x + 4) = 1/2(3-x)

Step-by-step explanation:

4 0
3 years ago
Write an inequality representing the fact that the total perimeter of the garden is at most 40 ft
dlinn [17]

Answer:

Part A) x+y\leq 20

Part B) The solution in the attached figure

Step-by-step explanation:

<u><em>The complete question is</em></u>

Suppose Rick has 40 ft of fencing with which he can build a rectangular garden. Let X represent the length of the garden and let Y represent the width.

A. Please write an inequality representing the fact that the total perimeter of the garden is at most 40 ft.

B. Please sketch part of the solution set for this inequality that represents all possible values for the length and width of the garden.

Part A)

Let

x ----> the length of the rectangular garden

y ----> the width of the rectangular garden

we know that

The perimeter of the rectangular garden is equal to

P=2x+2y

In this problem the word "at most" means "less than or equal to"

so

The inequality that represent this situation is

2x+2y\leq 40

Simplify

x+y\leq 20

Part B) we have

x+y\leq 20

Isolate the variable y

subtract x both sides

y\leq -x+20

The solution of the inequality is the shaded area below the solid line y= -x+20

The slope of the solid line is negative (m=-1)

The y-intercept of the solid line is (0,20)

The x-intercept of the solid line is (20,0)

therefore

The solution is the triangular shaded area

see the attached figure

Remember that

Both the length and the width must be positive

3 0
4 years ago
I am just completely lost and am unsure of how to approach this problem.
Anastasy [175]

Answer:

68°

Step-by-step explanation:

As BA⊥BD, so ∠ABD = 90°

also, ∠ABD = ∠CBD + ∠ABC

⇒ 90° = 4x + 52° + 8x - 10°

⇒  12x = 48°

⇒  x = 4°

now,

∠CBD = 4x + 52°

          = 4(4°) + 52°

          = 68°

5 0
3 years ago
What is the value of x in the equation 3(2x + 4) = -6?<br> 0-3<br> O<br> 012<br> 19
yulyashka [42]

Answer:

x = -3

Step by step explaination-

3(2(-3) + 4) = -6

7 0
3 years ago
insulin comes in 10 cubic centimeter(cc) vials labeled in the number of units of insulin per cubic centimeter of fluid. A vial m
Sergio [31]

Answer:

<em>8.25 cc fluid should be drawn into the syringe from the U40 vial.</em>

Step-by-step explanation:

The amount of a U40 vial insulin fluid is 10 cc.

A vial marked U40 has 40 units of insulin per cubic centimeter of fluid.

Suppose, if a patient needs 33 units of insulin, then x cc fluid should be drawn.

So, <u>according to the ratio of "cubic centimeter" to "the units of insulin"</u>, the equation will be.........

\frac{x}{33}=\frac{10}{40}\\ \\40x=330\\ \\ x=\frac{330}{40}=8.25

So, 8.25 cc fluid should be drawn into the syringe from the U40 vial.

8 0
3 years ago
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