All categories

2 years ago

–7.24 + 4.8n − 4.77 = –0.67 + 6.9n

Mathematics

2 answers:

AVprozaik [17]2 years ago

7 0

Answer: n = -5.4

Step-by-step explanation:

Andreyy892 years ago

7 0

Answer:

n = -5.4

Step-by-step explanation:

−7.24 + 4.8n − 4.77 = −0.67 + 6.9n

Subtract 4.77 from −7.24 to get −12.01.

-12.01 + 4.8n = -0.67 + 6.9n

Subtract 6.9n from both sides

-12.01 + 4.8n - 6.9n = 0.67

Combine 4.8n and −6.9n to get −2.1n

-12.01 = 2.1n = -0.67

Add 12.01 to both sides.

-2.1n = -0.67 + 12.01

Add −0.67 and 12.01 to get 11.34.

−2.1n = 11.34

Divide both sides by −2.1.

n = $\frac{1134}{-210}$

Reduce the Fraction $\frac{1134}{-210}$ to lowest terms by extracting and canceling out 42.

n = - $\frac{27}{5}$ = -5 $\frac{2}{5}$ = -5.4

You might be interested in

BRAINIST & 20 POINTS <br><br><br> *random answers will be reported*

kolezko [41]

Answer:

6-1

Step-by-step explanation:

3 0

2 years ago

A container has 3 apple juice boxes, 4 grape juice boxes and 5 orange juice boxes. Alex picks one juice box, drinks it and then

Eduardwww [97]

Hey!

Grape over total: $\frac{4}{12}$

After he drinks 1, there will be 1 less. That means it will be over 11

Orange over total: $\frac{5}{11}$

Now multiply the fractions

$\frac{4}{12} \times \frac{5}{11} = \frac{20}{132} \rightarrow \frac{10}{66} \rightarrow \frac{5}{33}$

That means the probability is: $\frac{5}{33}$

Good luck and hope this helps! :)

4 0

3 years ago

PLS help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

kati45 [8]

The area of the figure is 104.52 sq inches

<h3>How to determine the area of the figure?</h3>

In the complete figure, we have:

1 Rectangle: Base = 8 in and Height = 6 in

2 semicircles: Diameter = 6 inches

The area of the figure is

Area = Area of rectangle + Sum of Areas of semicircles

This gives

Area = Base * Height + 2 * π(d/2)^2

This gives

Area = 8 * 6+ 2 * 3.14 * (6/2)^2

Evaluate

Area = 104.52

Hence, the area of the figure is 104.52 sq inches

Read more about areas at:

brainly.com/question/24487155

#SPJ1

7 0

1 year ago

A closet contains 8 pairs of pants, 10 shirts, and 4 pairs of shoes. How many leaves on a tree diagram would represent all possi

EleoNora [17]

The answer is, there are 320 possible combinations of outfits

7 0

3 years ago

What type of triangle has side lengths 9, 10, and √130? A. obtuse B. not a triangle C. acute D. right

EastWind [94]

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

A^2 + B^2 = H^2

in this case H is the larger side, this must be √130.

then:

A and B must be 9 and 10.

9^2 + 10^2 = (√130)^2

81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

if A^2 + B^2 < H^2 then we have one angle larger than 90°, this is an obtuse angle.

(H is always the larger side, A and B are the two shorter ones).

In this case:

81 + 100 > 130

Then this must be an acute angle.

3 0

2 years ago