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Masja [62]
3 years ago
8

Please help I’ll mark you brainliest if correct!

Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

Answer:

89.5

Step-by-step explanation:

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A manufacturer produces both two-slice and four-slice toasters. The two-slice toaster takes 6 hours of labor to produce and the
frosja888 [35]

We have two products: a two-slice toaster and a four-slice toaster.

Lets call T the number of two-slice toasters produced and F the number of four-slice toasters produced.

If we have 300 hours per week of labor, the sum of the labor required for T and F has to be lower or equal to that value.

The labor hours that take to make the two-slice toasters can be written as 6*T, as it is the product of the hours per unit (6 hours/unit) by the number of units (T units).

The same can be done for F, where the labor required can be expressed as 10*T.

If we add these terms, and make them be less or equal than 300, we get:

6T+10F\le300

The production capacity is 40 units, so the sum of T and F has to be less or equal than 40.

We can express this as:

T+F\le40

Answer:

The system of inequalities for this problem becomes:

\begin{gathered} 6T+10F\le300 \\ T+F\le40 \end{gathered}

6T+10F<=300

T+F<=40

6 0
1 year ago
X= -8y + 8<br> x= -2y + 2 <br> How do I solve this system of equations
Agata [3.3K]

Answer:

According the the Property of Equality (POE), if a=b and b=c, then a=c.

If -8y + 8 = x and x = -2y + 2, substitute so that it becomes -8y + 8 = -2y + 2.

Solve from there:

Move the y variables to their own side.

-8y + 2y = 2-8

-6y = -6

y = -6

Then plug the y into either equation to find x.

x = -2y + 2

x = -2(-6) + 2

x = 12 + 2

x = 14

5 0
3 years ago
∠1 ​ and ∠2 are complementary.
Kazeer [188]
If angles are complementary, they add up to 90 whereas when they are supplementary, the add up to 180. So now let's focus on this problem. It says angle 1 and 2 are complementary. Therefore;
angle 1 + angle 2 =90
x+(3x+30)=90
x+3x+30=90
4x+30=90
-30 -30
4x=60
4/4x=60/4
x=15
Therefore, the value of x is 15
6 0
3 years ago
Read 2 more answers
Decide whether the rates are equivalent.
ankoles [38]

Answer:

#1 is correct

Step-by-step explanation:

24 laps divided by 6 minutes equals 4 laps per minute.

72 laps divided by 18 minutes equals 4 laps per minute.

15 breaths divided by 36 seconds does not equal the same rate as 90 breaths divided by 3 minutes.

4 0
3 years ago
A+4a, plus, 4 when a=7a=7a, equals, 7.
babymother [125]

Answer:

fff

Step-by-step explanation:

fff

4 0
3 years ago
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