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valkas [14]
2 years ago
9

Solve for x: 5x + 15 = 28​

Mathematics
1 answer:
koban [17]2 years ago
8 0

Answer:

x=\frac{13}{5}

Step-by-step explanation:

In order to get the answer to this question you need to subtract and divide on both sides.

5x + 15 = 28

Minus 15 on both sides:

28-15=13

5x=13

Divide 5 on both sides:

13\div5=\frac{13}{5}

x=\frac{13}{5}

Hope this helps.

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Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

\displaystyle \tan 82^\circ=\frac{h}{100}

Solving for h:

h = 100\tan 82^\circ

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

7 0
3 years ago
The chickens on a certain farm consumed 600 pounds of feed in half a year. During that time the total number of eggs laid was 5,
raketka [301]
600*1,25$=750$
\frac{750}{5000}=\frac{3}{20}=0,15
8 0
3 years ago
Read 2 more answers
Please show your work and explain it.
Maru [420]

Answer:

f(x)=\dfrac{x+2}{2(x-2)}

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}

Next we factor what we can so we can further simplify the rest of the equation:

=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\

We can now cancel out (x+2)

=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}

Next we factor out even more:

=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

=\dfrac{(x+2)(1)}{(x-2)(2)}

And we can now simplify it to:

=\dfrac{x+2}{2(x-2)}

6 0
3 years ago
Type the correct answer in each box. Write your answers in decimal form, rounded to the nearest tenth, if necessary. Type the so
strojnjashka [21]

Answer:

-1/2 and -1

Step-by-step explanation:

This is the answer I used in my test, not sure if it is correct, but hope it helps!

8 0
2 years ago
Does anybody know the correct answer?
d1i1m1o1n [39]

Answer:

arithmetic

Step-by-step explanation:

hope it helped

5 0
3 years ago
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