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3 years ago

4 tomatoes cost $3.40 what is the unit rate

Mathematics

1 answer:

IRINA_888 [86]3 years ago

7 0

The unit rat is the cost per 1 unit
cost per 1 tomatoe

3.4/4=1.7/2=0.85/1

unit rate is $0.85 per tomatoe

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The attendance at a family reunion was 160 people. This was 125% of last year's attendance. How many people attended the reunion

Alex787 [66]

If you would like to know how many people attended the reunion last year, you can calculate this using the following steps:

125% of last year's attendance is 160 people
125% of x is 160
125% * x = 160
125/100 * x = 160 /*100/125
x = 160 * 100 / 125
x = 128 people (last year)

Result: 128 people attended the reunion last year.

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3 years ago

(Scientific Notation LC)

trapecia [35]

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You always want the period to the right of the first number meaning you’ll start from there counting backwards because it is negative.

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1 year ago

A man has 32 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 545 cents, how many d

inn [45]

A dime is worth 10 cents and a quarter is worth 25 cents.

Let D be the number of dimes and Q be the number of quarters.

Since the total amount of coins in the pocket is 32, then:

$D+Q=32$

On the other hand, the total value of D dimes is 10D, while the total value of Q dimes is 25Q. Then, the total value of D dimes and Q cuarters is 10D+25Q, which must be equal to 545. Then:

$10D+25Q=545$

Notice that we have found a 2x2 system of equations:

$\begin{gathered} D+Q=32 \\ 10D+25Q=545 \end{gathered}$

Solve the system using the substitution method. To do so, isolate D from the first equation and replace the expression for D into the second equation to obtain a single equation in terms of Q:

$\begin{gathered} D+Q=32 \\ \Rightarrow D=32-Q \\ \\ 10D+25Q=545 \\ \Rightarrow10(32-Q)+25Q=545 \\ \Rightarrow320-10Q+25Q=545 \\ \Rightarrow25Q-10Q=545-320 \\ \Rightarrow15Q=225 \\ \Rightarrow Q=\frac{225}{15} \\ \\ \therefore Q=15 \end{gathered}$

Replace back Q=15 into the expression for D to find the amount of dimes:

$\begin{gathered} D=32-Q \\ =32-15 \\ =17 \end{gathered}$

Therefore, the amount of dimes that the man has is 17.

7 0

1 year ago

3. Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 4x + 1 (1

asambeis [7]

Answer:

D. y = -1/4x + 3

Step-by-step explanation:

If the line is perpendicular, it will have a opposite reciprocal slope.

So, the slope will be -1/4.

Plug in this slope and the given point into y = mx + b, and solve for b:

y = mx + b

-6 = -1/4(12) + b

-6 = -3 + b

-3 = b

Plug in the slope and y intercept into y = mx + b

y = -1/4x - 3

So, the correct answer is D. y = -1/4x + 3

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3 years ago

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Write a decimal in tenths that is less than 3.81 but greater than 3.0

marin [14]

Maybe 38/10. Transforming it into fractions, then in tenths

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3 years ago

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