Which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three

Mathematics

1 answer:

marissa [1.9K]4 years ago

4 0

Answer:

So quotient means that you're dividing, so put a ÷

Next, it says the dividend, or the part being divided is -8, so now you have this: -8 ÷

Lastly, it says the divisor, or the part doing the dividing, is a quantity equal to the sum of "some number" (we'll use x) and 3. Since the divisor is one quantity collectively, you have to put it in parentheses.

This gives you: (x + 3)

When you put it all together, you get -8 ÷ (x + 3).

This can also be written as a fraction by putting -8 over (x+3)

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A health food company packs almond butter in jars. Some jars hold 250 g. Other jars hold 500 g. On Tuesday, the company packed 1

MArishka [77]

Let the number of 250g=0.25 kg jars be x and that of 500g=0.5 kg jams be y;
therefore:
total number of jars ws
x+y=511
x=511-y..........i

total mount kgs was:
0.25x+0.5y=186.5....ii
substituting i in ii
0.25(511-y)+0.5y=186.5
127.75-0.25y+0.5y=186.5
solving for y we get:
0.25y=186.5-127.75
0.25y=58.75
y=58.75/0.25
y=235 jars
and
x=511-x
=511-235
=276
hence we conclude that there was 235 jars with 0.5 kg almond and 276 jars with 0.25 kg almonds

5 0

4 years ago

Read 2 more answers

∠ACE is formed by two secants intersecting outside of a circle. If minor arc BD = 25°, minor arc AB = 115°, and minor arc DE = 1

dmitriy555 [2]

Answer:

m∠ACE = 40°

Step-by-step explanation:

Consider the below figure attached with this question.

Given information: arc BD = 25°, minor arc AB = 115°, and minor arc DE = 115°.

We need to find the measure of ∠ACE.

minor arc AB + minor arc BD + minor arc DE + minor arc AE = 360°