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Paraphin [41]
3 years ago
13

NEED ASAP!!! Assessment items Each month, Helder volunteers x hours at the hospital and 8 hours at the local food bank. To find

how many hours he will spend volunteering over 3 months, Helder calculates: x + 8 + x + 8 + x + 8 What is another way Helder can calculate how many hours he will volunteer in total over the 3 months?
Drag and drop the equivalent expression in the box
3x+8
3(x+8)
x+24
x+8
Mathematics
1 answer:
iragen [17]3 years ago
5 0

Answer:

3(x+8) is the answer

Step-by-step explanation:

You want the total number of hours worked over 3 months which gives you 3x and you would then need 8 hours for 3 months which give you 3x+24. So you would need 3(x+8).

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What is a group of objects that share common characteristics and are well-defined?​
svetoff [14.1K]

Answer:

The options as included in the attachment section are:

A. real numbers B.Cardinality C.element D.Set

The answer is D. Set

Step-by-step explanation:

In mathematics, a set is a group of well-defined objects that share common characteristics as rightly stated in this question. So in a mathematical calculation, the elements or objects collected as a group is called SET. The types of set include empty set, finite set, infinite set, universal set etc.

- Since set represents the whole collection or group, each object, which can be number, letter etc. in the group is an ELEMENT. Likewise, the cardinality of a set refers to the number of elements contained in a particular set.

3 0
3 years ago
Your parents are purchasing a mobile home for $89,000. The sales tax is 4.2%, they make a $3,000 down payment, and they have an
cricket20 [7]
The answer would be $352.95. 
3 0
3 years ago
12 – 7x ≤-2 <br> solve and show work
vova2212 [387]

Answer:

x≥2

Step-by-step explanation:

Let's solve your inequality step-by-step.

12−7x≤−2

Step 1: Simplify both sides of the inequality.

−7x+12≤−2

Step 2: Subtract 12 from both sides.

−7x+12−12≤−2−12

−7x≤−14

Step 3: Divide both sides by -7.

−7x/−7 ≤ −14/−7

x≥2

8 0
2 years ago
A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.
Black_prince [1.1K]

Answer:

\frac{19}{12}\ pounds

or

1\frac{7}{12}\ pounds

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}

Convert mixed number to an improper fractions

1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}

3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}

Substitute in the expression above

x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}

solve for x

Multiply by (4*6) both sides to remove the fractions

24x+30+16=84

Combine like terms left side

24x+46=84

subtract 46 both sides

24x=84-46

24x=38

Divide by 24 both sides

x=\frac{38}{24}\ pounds

simplify

x=\frac{19}{12}\ pounds

Convert to mixed number

\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds

4 0
3 years ago
Help me as soon as possible PLEASE HELP
disa [49]

Answer:

QRT = 47, TRS = 133

Step-by-step explanation:

Since QRS is a line, QRT + TRS = 180.

QRT+TRS=180\\3x+5+10x-7=180\\

Then, solve for x. Combine like terms.

13x-2=180\\13x=182\\x=14

Then, plug in 14 for x.

1. (3*14+5)\\\\QRT = 47\\\\2. (10*14-7)\\\\TRS = 133

7 0
3 years ago
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