All categories

2 years ago

Zachery is solving the equation 3/4 (x - 8) = 12

Mathematics

1 answer:

Maru [420]2 years ago

6 0

Answer:

3/4*x - 3/4*8=12

3/4x -6=12

3/4x=12+6

3/4x=18

x=24

Step-by-step explanation:

multiply 3/4 into the content inside the brackets

have -3/4*8 cross the equal sign changing its sign from - to +

divide both sides by 3/4

You might be interested in

An unloaded truck and trailer, with the driver aboard, weighs 30{,}00030,00030, comma, 000 pounds. When fully loaded, the truck

kari74 [83]

Answer:

1131 pounds.

Step-by-step explanation:

We have been given that an unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. When fully loaded, the truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds.

First of all, we will find weight of 18 tires by multiplying 18 by 3,300 as:

$\text{Weight of tires of the fully loaded semi-truck}=18\times 3,300$

$\text{Weight of tires of the fully loaded semi-truck}=59,400$

The weight of 26 pallets would be weight of 18 tires minus weight of unloaded truck.

$\text{Weight of 26 pallets of cargo}=59,400-30,000$

$\text{Weight of 26 pallets of cargo}=29,400$

Now, we will divide 29,400 by 26 to find average weight of one pallet of cargo.

$\text{Average weight of one pallet of cargo}=\frac{29,400}{26}$

$\text{Average weight of one pallet of cargo}=1130.769230769$

$\text{Average weight of one pallet of cargo}\approx 1131$

Therefore, the average weight of one pallet of cargo is approximately 1131 pounds.

3 0

2 years ago

Shelly bought a house five years ago for $150,000 and obtained an 80% loan. Now the home is worth $140,000 and her loan balance

LiRa [457]

Answer:

The current equity is $32,000

Step-by-step explanation:

Here, we are to calculate the current equity of the House

Value of house initially is $150,000

loan borrowed is 80% of this

= 80/100 * 150,000 = $120,000

Now the house value is 140,000 and the loan amount is reduced to 12,000

The outstanding loan amount to pay would be 120,000-12,000 = 108,000

The current equity is thus = Assets - liability = 140,000-108,000 = $32,000

5 0

2 years ago

The stadium owner is considering an offer from Reliable Tools to change the name to Reliable Stadium. The company is offering to

defon

The answer is probably 590,000 because isn't it subtraction

6 0

2 years ago

Read 2 more answers

Tyler poured 15 cups of water into 2 equal sized bottles and filled each bottle. How much water was in each bottle?

Roman55 [17]

Answer:7.5

Step-by-step explanation:

you divided 15 into 2

6 0

2 years ago

Read 2 more answers

Lisa, a dentist, believes not enough teenagers floss daily. She would like to test the claim that the proportion of teenagers wh

kumpel [21]

Answer:

$z=\frac{0.3725 -0.4}{\sqrt{\frac{0.4(1-0.4)}{400}}}=-1.123$

The p value for a left tailed test would be:

$p_v =P(z$

Since the p value is very higher we can conclude that the true proportion of teenagers who floss twice a day is NOT less than 40%.

Step-by-step explanation:

Information given

n=400 represent the random sample given

X=149 represent the floss twice a day

$\hat p=\frac{149}{400}=0.3725$ estimated proportion of floss twice a day

$p_o=0.4$ is the value the proportion that we want to check

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to check proportion of teenagers who floss twice a day is less than 40%, so then the system of hypothesis are.:

Null hypothesis: $p \geq 0.4$

Alternative hypothesis: $p < 0.4$

For the one sample proportion test the statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

If we replace the info given we got:

$z=\frac{0.3725 -0.4}{\sqrt{\frac{0.4(1-0.4)}{400}}}=-1.123$

The p value for a left tailed test would be:

$p_v =P(z$

Since the p value is very higher we can conclude that the true proportion of teenagers who floss twice a day is NOT less than 40%.

6 0

2 years ago