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2 years ago

Ms. Wilson bought 5 pencils for w dollars. Each pen costs 35 cents more than a pencil.

Mathematics

1 answer:

pochemuha2 years ago

7 0

Algebraic expression for each statement in terms of w would be:

Each pencil will cost: w/5.

A pen will cost: w/5 + 0.35

Number of pencils 20 dollars will buy = w/5 = 20/5 =4 pencils.

<h3>What is an Algebraic Expression?</h3>

Algebraic expression in mathematics is an expression that is made up of variables, constant, and mathematical symbols, which can be used to represent a statement.

Thus:

Let w represents the price for 5 pencils.

Each pencil will cost: w/5.

A pen will cost: w/5 + 0.35

a. cost in dollars for a pen = w/5 + 0.35

b. Number of pencils 20 dollars will buy = w/5 = 20/5 =4 pencils.

Learn more about algebraic expression on:

brainly.com/question/12470265

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abruzzese [7]

Answer:

zero goats and 120 Ilamas to get profit of $15,120

Step-by-step explanation:

Goats: G

Ilamas: l

Explicit constraints:

2G + 5l ≤ 400

100G+ 80l≤ 13,200

Implicit constraints

G≥0

I≥0

P= 84G+ 126l

See attachment for optimal area

substituting coordinats of optimal region in profit equation to get profit

When G= 132, l=0

P=84(132) + 126(0)

P=11,088

When G=0, l=120

P=84(0)+ 126(120)

P = 15120

When G= 100, l=40

P=84(100)+126(40)

P=13440

3 0

3 years ago

2. BT bisects ZABC. MZABT = 4x-16 and m CBT = 2x + 6 Find MZABT.

Paladinen [302]

Answer:

The measure of angle ABT is 28°

Step-by-step explanation:

* Lets revise the bisector of a angle

- If a ray bisects and angle that mean the ray divide the angle into

two equal parts in measure

- Ex: if the ray BD bisects angle ABC, then the measure of angle ABD is

equal to the measure of angle CBD

* Lets solve the problem

∵ BT bisects ∠ABC

∴ m∠ABT = m∠CBT

∵ m∠ABT = 4x - 16

∵ m∠CBT = 2x + 6

- Equate the two values

∴ 4x - 16 = 2x + 6

- Lets solve the equation by subtracting 2x from both sides and

adding 16 to both sides

∴ 4x - 2x = 6 + 16

∴ 2x = 22 ⇒ divide both sides by 2

∴ x = 11

- Lets find the measure of angle ABT

∵ m∠ABT = 4x - 16

- Substitute x by 11

∴ m∠ABT = 4(11) - 16 = 44 - 16 = 28°

* The measure of angle ABT is 28°

6 0

3 years ago

Solve 3(x + 2) > x.

Georgia [21]

3(x + 2) > x
3x + 6 > x
3x - 3x + 6 > x - 3x
6 > -2x
6/-2 < -2x/-2
-3< x
(When dividing by a negative, reverse the direction of the inequality side, reverse it EVERY time you divide by a negative)

ANSWER: -3 < x

5 0

2 years ago

Point R is located at (1, 2) on a coordinate grid. Point S is located at (4, 5) on the same

Aleksandr-060686 [28]

Answer:

4.2 units

most likely answer choice B

Step-by-step explanation:

(1, 2) and (4, 5)

To find the distance between two points, we use the distance formula:

$d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }$

Let's plug in what we know.

$d = \sqrt{(4 - 1)^2 + (5 - 2)^2 }$

Evaluate the parentheses.

$d = \sqrt{(3)^2 + (3)^2 }$

Evaluate the exponents.

$d = \sqrt{(9) + (9) }$

Add.

$d=\sqrt{18}$

Evaluate the radical.

d = 4.24

Round to the nearest tenth.

d = 4.2 units

*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.

Hope this helps!

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3 years ago

13/16 - 1/4.¿ using 5th grade work

MatroZZZ [7]

Answer:

$\frac{9}{16}$

Step-by-step explanation:

3 0

3 years ago

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