2x +(3y+8z)=(2x+3y)+8z an example of which property?

3+3/4x= 7/10 do not use decimals in your answer

murzikaleks [220]

Answer:

x = $-\frac{45}{15}$

Step-by-step explanation:

We have the equation: 3 + $\frac{3}{4} x$ = $\frac{7}{10}$

Move the constant (in this case the constant is 3) to the right side of the equation, changing its sign

$\frac{3}{4} x$ = $\frac{7}{10}$ - 3

Calculate the difference.

$\frac{3}{4} x$ = $-\frac{23}{10}$

Divide.

(when dividing two fractions, you can change it to a multiplication problem by switching the numerator and denominator of the divisor.)

So, we get the equation $-\frac{23}{10}$ x $\frac{4}{3}$ which is $-\frac{45}{15}$ .

I hope this helps!

7 0

3 years ago

If r = 18 and t = 6, what is the value of the following expression? r + 42 ÷ t · 5

AleksAgata [21]

Answer:

53

Step-by-step explanation:

42/6=7

7*5=35

18+35=53

4 0

3 years ago

Helpppppppppppppopppppp

Fittoniya [83]

Answer:

9x+18

Step-by-step explanation:

7 0

2 years ago

Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of pre

Maru [420]

Answer:

The large sample n = 117.07

Step-by-step explanation:

Step(i):-

Given that the estimate error (M.E) = 0.08

The proportion (p) = 0.75

q =1-p = 1- 0.75 =0.25

Level of significance = 0.05

Z₀.₀₅ = 1.96≅ 2

Step(ii):-

The Marginal error is determined by

M.E = $\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }$

$0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }$

Cross multiplication , we get

$\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }$

√n = $\frac{2 X0.4330}{0.08} = 10.825$

squaring on both sides , we get

n = 117.07

Final answer:-

The large sample n = 117.07

6 0

2 years ago

Can you conclude from the figure that ABC is similar to DEF? Explain.

pishuonlain [190]

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.

Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.

8 0

3 years ago