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2 years ago

15

What is the answer for 5e=3e+36.please show work.

2 answers:

My name is Ann [436]2 years ago

7 0

$5e=3e+36\\
2e=36\\
e=18$

MissTica2 years ago

3 0

$5e=3e+36\ \ \ | subtract\ 3e\\\\
2e=36\ \ \ \ | divide\ by\ 2\\\\
e=18$

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Francis is making cookies. The recipe for chocolate chip cookies calls for 2 2/3 cups of flour, the recipe for peanut butter cal

Alja [10]

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3 years ago

The difference of this equation.

yaroslaw [1]

Answer:

$\frac{23}{(y-8)(y+8)}=\frac{23}{y^{2}-64}$

Step-by-step explanation:

$\frac{3y - 1}{(y-8)(y+8)} -\frac{3}{y+8} = \frac{3y - 1}{(y-8)(y+8)} -\frac{3(y-8)}{(y-8)(y+8)} =\\\\=\frac{3y - 1-3y+24}{(y-8)(y+8)} = \frac{23}{(y-8)(y+8)}=\frac{23}{y^{2}-64}$

4 0

3 years ago

If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

so

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

so

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

3 years ago

for a field trip 4 students rode in cars and the rest filled nine buses. how many students were in each bus if 472 students were

Lemur [1.5K]

The answer is 52

x - the number of students in a bus

4 + 9x = 472
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x = 468 / 9
x = 52

4 0

2 years ago

Read 2 more answers

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wariber [46]

Answer:

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Step-by-step explanation:

Because angle 4 is an exterior angle of given triangle which will be equal to the Measure of angle 2 + measure of angle 3

6 0

2 years ago