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Vikentia [17]
1 year ago
8

Match each unit rate on the left with an equivalent phrase on the right. Some

Mathematics
1 answer:
Stella [2.4K]1 year ago
5 0

Answer:

  C, E, D

Step-by-step explanation:

A "unit rate" is a rate that has 1 unit in the denominator. Here, the rates are all given in terms of the number of apples in 1 basket. (The 1 basket is the 1 unit.)

<h3>Application</h3>

When rates are given with some number of units other than 1 in the denominator, divide the numerator by the denominator to find the unit rate.

Here, the unit rates are all more than one apple in each basket, so the number of apples must be a multiple of the number of baskets. Phrases "A" and "B" both have more baskets than apples, so will not be used.

  C: (304 apples)/(8 baskets) = (304/8) apples/basket = 38 apples/basket

  D: (294 apples)/(7 baskets) = (294/7) apples/basket = 42 apples/basket

  E: (405 apples)/(9 baskets) = (405/9) apples/basket = 45 apples/basket

<h3>Matching</h3>

  (38 apples)/(1 basket) = C: 38 apples/basket

  (45 apples)/(1 basket) = E: 45 apples/basket

  (42 apples)/(1 basket) = D: 42 apples/basket

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Write the sum or difference in the standard form a + bi.
REY [17]

Answer:

Sum = 13+ 4i            Difference = -5 - 8i

Step-by-step explanation:

Given complex number as (4 -2i)  and  (9 + 6i)

Sum of these complex number is

(4 -2i)  + (9 + 6i) = ( 4 +9) + (6i -2i)

                           = 13 +4i

Difference of these complex number is

(4 -2i)  - (9 + 6i) = (4 -9) - (2i +6i)

                        = -5 - 8i

Hence the sum and Difference of given complex numbers are

Sum = 13+ 4i            Difference = -5 - 8i              Answer

8 0
3 years ago
Priya filled 5 jars, using a total of 7 ½ cups of strawberry jam. How many cups of jam are in each jar?
Leya [2.2K]

Answer:

 1 1/2 cups of jam per jar

Step-by-step explanation:

Divide 7 1/2 by 5 to get 1 1/2 cups of jam per jar.

6 0
3 years ago
What is 84/144 in simplest form fraction?
cupoosta [38]
6/11 is the simplest form of the fraction. 
First you divide the top and bottom by two 84/2 and 144/2 
Next you get 42/77
Finally you see that both are factorable by 7 so you divde 42 and 77 by 7 to get 7/11
5 0
3 years ago
You move out into the country and you notice every Spring there are more and more Deer Fawns that appear. You decide to try and
marusya05 [52]

Answer: hello your question is incomplete attached below is the missing part

answer : There is no slope

Step-by-step explanation:

To interpret the slope we plot a graph of Winter severity index vs Fawn count

slope = Δy / Δx  = 0

attached below is the graph

There no slope because the graph is a curve and not a straight line graph

3 0
2 years ago
What is the sum of the expressions (2/3x −7)+(1/3 x+5)?
Anit [1.1K]
The answer is

Final result :

x - 2
Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

2 1
((—•x)-7)+((—•x)+5)
3 3
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

5 5 • 3
5 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x + 5 • 3 x + 15
————————— = ——————
3 3
Equation at the end of step 2 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 3 :

2
Simplify —
3
Equation at the end of step 3 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

7 7 • 3
7 = — = —————
1 3
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

2x - (7 • 3) 2x - 21
———————————— = ———————
3 3
Equation at the end of step 4 :

(2x - 21) (x + 15)
————————— + ————————
3 3
Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(2x-21) + (x+15) 3x - 6
———————————————— = ——————
3 3
Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

3x - 6 = 3 • (x - 2)

Final result :

x - 2

100% Verified!

Hope This Helps! :)
6 0
3 years ago
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