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raketka [301]
3 years ago
5

A pet store sells dog food in a 3-pound bag for $12.00 and a 5-pound bag for $14.25. Which bag of dog food is the better buy? Ex

plain.
Mathematics
1 answer:
Bess [88]3 years ago
5 0

The 5-pound bag is better value.

The easiest way to compare and find out which is a better buy is to find out how much is being charged for 1-pound of food in each bag.

$12 is divided by 3 beacuse it's a 3-pound bag and we are aiming to find what 1-pound is equal to.

$12 ÷ 3 = $4

So the first bag charges $4 per pound of food.

Then use the same method for the 5-pound bag.

$14.25 ÷ 5 = $2.85

So the second charges $2.85 per pound of food.

So as we can see, the 5-pound bag is clearly better value. For each pound of food you are saving $1.15 in comparison to what you would be spending if you opted for the first bag.

Hope this helps!

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3 years ago
13. In A ABC, if m BF is an angle bisector, find<br> m
Tresset [83]

If in the triangle ABC , BF is an angle bisector and ∠ABF=41° then angle m∠BCE=8°.

Given that m∠ABF=41° and BF is an angle bisector.

We are required to find the angle m∠BCE if BF is an angle bisector.

Angle bisector basically divides an angle into two parts.

If BF is an angle bisector then ∠ABF=∠FBC by assuming that the angle is divided into two parts.

In this way ∠ABC=2*∠ABF

∠ABC=2*41

=82°

In ΔECB we got that ∠CEB=90° and ∠ABC=82° and we have to find ∠BCE.

∠BCE+∠CEB+EBC=180  (Sum of all the angles in a triangle is 180°)

∠BCE+90+82=180

∠BCE=180-172

∠BCE=8°

Hence if BF is an angle bisector then angle m∠BCE=8°.

Learn more about angles at brainly.com/question/25716982

#SPJ1

4 0
1 year ago
4. If the paint costs $30 per gallon and you need to spend $60 on supplies, and you can
Bezzdna [24]

Step-by-step explanation:

if I understand this right, then you need paint and additional supplies.

but I don't see any information indicating how many gallons of paint I will need.

so, I can go only with the 1 gallon specified.

so,

1×30 + 60 = $90

we can save $45 per month.

then we need

90 / 45 = 2

months to have enough money.

please update the numbers to how many gallons you really need, and then take that result and divide it by the 45 savings per month.

3 0
2 years ago
Solve the proportion 15/6 = 10/p
V125BC [204]

Answer:

  p = 4

Step-by-step explanation:

The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)

<h3>Cross multiply</h3>

This means multiply both sides of the equation by the product of the denominators:

  (15/6)(6p) = (10/p)(6p) . . . . "cross multiply"

  15p = 60 . . . . . . simplify

<h3>Second step</h3>

Now, divide by the coefficient of the variable.

  15p/15 = 60/15

  p = 4

The solution is p = 4.

__

<em>Additional comment</em>

If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.

__

For example, to solve ...

  2/5 = p/10

you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.

__

Any proportion can be written 4 ways:

  \dfrac{a}{b}=\dfrac{c}{d}\ \Leftrightarrow\ \dfrac{a}{c}=\dfrac{b}{d}\ \Leftrightarrow\ \dfrac{b}{a}=\dfrac{d}{c}\ \Leftrightarrow\ \dfrac{c}{a}=\dfrac{d}{b}

This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:

  6/15 = p/10   ⇒   p = 10(6/15) = 4

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Answer:

When graphing a linear inequality on a number line, use an open circle for <em><u>"less than" or "greater than",</u></em> and a closed circle for "less than or equal to" or "greater than or equal to".

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