At a candy store a bag holds up to 1 pound of candy. Each jawbreaker (x) weighs 0.25 pounds and each gumball (y) weighs 0.1 pounds. Which inequality shows the solution for all combinations of the two candies that will fit in the 1-pound bag?

Answers

Answer 1

Answer: x - number of jawbreakers;
y - number of gumballs.
The weight of jawbreakers + gumballs must be less than or equal to 1 pound.
Inequality that shows the solution for all combinations of the two candies is:
0.25 x + 0.1 y ≤ 1

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A $5000 investment earns $1575 simple interest in three years. What is the annual interest rate?a. 1.05%
b. 3.15%
c. 10.5%
d. 31.5%

Answers

I=PRT
P=principal
I=interest
R=rate
T=time in years

Principal=5000
Interest=1575
R=?
T=3 years

I=PRT
1575=(5000)(R)(3)
1575=15000(R)
divide both sides by 15000
0.105=R
we need to covert to percent
x%=x/100
0.105/1 times 100/100=10.5/100=10.5%

answer is C

Translate the phrase into a mathematical expression and then evaluate it. Four squared divided by two cubed.

Answers

As an expression, it is 4² ÷ 2³. The answer to the expression is 2.

The grocery store sells kumquat for $4.50 a pound and Asian pears for $3.75 a pound write an equation in standard form for the weight of kumquat k and Asian pears p that a customer could buy with $16

Answers

Answer:

let k represents the kumquat weight(in pound) and p represents the Asian pears weight respectively.

As per the given conditions,

The grocery store sells kumquat for $ 4.50 a pound

⇒ for 1 pound $\rightarrow$ $4.50

then, in k pound = $4.50 k$

similarly,

The Asian pears for $3.75 a pound

⇒ for 1 pound $\rightarrow$ $3.75

then, in p pound = $3.75 k$

Standard form of the equation is in the form of Ax + By = C:

The weight of kumquat k and Asian pears p that customer could buy with $ 16,

then the standard form of equation is: 4.50k +3.75p = 16

1 pound kumquat = 4.50
1 pound pear = 3.75
4.50k + 3.75p = 16

Are the ratios 1:5 and 3:15 equal?

Answers

Answer:

no, 3/15 reduces to 1/3 and 1:3 isn't equal to 1:5

Answer:

yes they are because they are by three

Step-by-step explanation:

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