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3 years ago

(b12)3 The simplified expression is

Mathematics

1 answer:

AlexFokin [52]3 years ago

8 0

Answer:

b^36

Step-by-step explanation:

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Simplify the given equation.

Ede4ka [16]

Answer:

Part 1) $4-7x=15$

The value of x is $-\frac{11}{7}$

Part 2) $x=27$

Step-by-step explanation:

Part 1) Simplify the given equation

we have

$6 - (3x + 10)+4(2 - x)=15$

In the left side, remove the parenthesis and apply the distributive property

Remember that

$(-1)(+1)=-1\\(-1)(-1)=+1$

$6 -3x-10+4(2)-4(x)=15$

$6 -3x-10+8-4x=15$

Combine like terms left side

$4-7x=15$

Adds 7x both sides

$4=15+7x$

subtract 15 both sides

$-11=7x$

Divide by 7 both sides

$x=-\frac{11}{7}$

Part 2) Solve for x.

$5(x + 1) = 4(x + 8)$

Apply distributive property both sides

$5x+5=4x+32$

Group terms that contain the same variable

$5x-4x=32-5$

Combine like terms

$x=27$

6 0

3 years ago

CONDITIONAL PROBABILITY ASSISTANCE

Mars2501 [29]

Consider such events:

A - selected student is freshmen

B - selected student is girl

$A\cap B$ - selected student is freshman is girl

$A|B$ - choosen girl is freshmen.

Use formula $Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)}$ .

From the table you can see that girls that are freshmen are 4 from all 30 people, then $Pr(A\cap B)=\dfrac{4}{30}$ . There are 18 girls, then $Pr(B)=\dfrac{18}{30}$ . Substitute into the formula:

$Pr(A|B)=\dfrac{\frac{4}{30} }{\frac{18}{30} }=\dfrac{4}{18} =\dfrac{2}{9}$ .

Answer: $Pr(A|B)=\dfrac{2}{9}$ .

4 0

3 years ago

Prove: Quadrilateral ABCD is a parallelogram.

Brilliant_brown [7]

Answer:

Step 3.

m∠ AEB = m∠ CED .........By Vertical Angles Theorem.

Step-by-step explanation:

Vertical Angles Theorem:

Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines,are congruent.

If two lines intersect each other we have two pair of vertical opposite angles. As shown in the figure.

Here,

∠ 1 and ∠ 2 are vertical opposite angles and also they are equal.

∠ 3 and ∠ 4 are also vertical opposite angles and also they are equal.

For,

step 3. m∠ AEB = m∠ CED

Therefore, the reason for step 3 of this proof is Vertical Angles Theorem.

6 0

3 years ago

An airplane climbs at an angle of 16° with the ground. Find the ground

Tatiana [17]

Answer:

2403.2

Step-by-step explanation:

We get the length of the hypotenuse, and the base angle. To find the length of the base, we use the cosine of 16° since it is equal to the adjacent side length/ hypotenuse side length or cos 16°= x/2500. The isolate x by multiplying both sides by 2500. The cos 16° is around 0.96126, multiplied by 2500 (cos 16°(2500)) = 2403.1

6 0

2 years ago

3 out of every 10 students ages 6 to 14 have a magazine subscription supposed are 30 students in Annabelle's class about how man

Zigmanuir [339]

Answer: 9 students

Step-by-step explanation:

10 X 3 = 30

3 X 3 = 9 students

4 0

3 years ago