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3 years ago

Is this correct? 6h - 1 = 7 h = 4

Mathematics

2 answers:

Naya [18.7K]3 years ago

8 0

That is incorrect the answer would be h=4/3

dimulka [17.4K]3 years ago

4 0

Answer:

$h=\frac{4}{3}$

Step-by-step explanation:

The answer is actually h = 4/3. Here are the steps below:

$6h-1=7~(Given)\\\\6h-1+1=7+1~(Add~1~on~both~sides)\\\\6h=8~(Simplify)\\\\\frac{6h}{6}=\frac{8}{6}~(Divide~6~on~both~sides)\\\\h=\frac{4}{3}~(Simplify)$

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HELP PLEASE ON 13- A, B, C Can anyone tell me if the ones I did are right

KiRa [710]

13a.) If you're dividing and the base (in this case the base is 10) is the same, subtract the exponents.
${10}^{7} \div {10}^{5} = {10}^{7 - 5} = {10}^{2}$
13b.) If you're multiplying and the base is the same, then you add the exponents:

${s}^{2} \times {s}^{3} \times s = {s}^{2 + 3 + 1} = {s}^{6}$
13c.) This is similar to 13b:

${6}^{4} \times {6}^{3} \times 6 = {6}^{4 + 3 + 1} = {6}^{8}$

4 0

3 years ago

What is the approximate distance from the origin to the point (3, −4, 5)? Round to the nearest unit. 4 units 7 units 8 units 9 u

Dafna11 [192]

Answer:

Option B is correct.

Step-by-step explanation:

The distance formula used is:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2}$

We need to find distance between origin and other point (3,-4,5)

Origin is: (0,0,0)

x₁ = 0, y₁ = 0, z₁ =0 and x₂= 3, y₂= -4 and z₂ = 5

Putting values in the distance formula we get:

$d=\sqrt{(3-0)^2+(-4+0)^2+(5-0)^2}\\d=\sqrt{(3)^2+(-4)^2+(5)^2}\\d=\sqrt{9+16+25}\\d=\sqrt{50}\\d=7$

The Distance from the origin to the point (3, −4, 5) is 7 units.

Option B is correct.

3 0

3 years ago

liam has 8 3/4 gallons of paint. he wants to use 2/5 of paint to paint his livingroom. how many gallons of paint will liam use?

slava [35]

Answer:

Liam will use 3.5 gallons of paint to paint his living room

Solution:

Given that Liam has $8 \frac{3}{4}$ gallons of paint.

He uses $\frac{2}{5}$ of paint to paint his living room

We need to find how many gallons of paint will Liam use

The gallons of paint Liam used can be found as follows:

Amount of paint Liam has = $8 \frac{3}{4}$ gallons

Converting mixed fraction $8 \frac{3}{4}$ to decimal we get 8.75

Amount of paint used = 2/5th of available amount

$= \frac{2}{5} \times 8.75=3.5 \text { or } 3 \frac{1}{2} \text { gallons }$

Hence Liam will use 3.5 gallons of paint to paint his living room

3 0

3 years ago

A map has a scale of 3 cm: 18 km. If Riverside and Smithville are 54 km apart then how many cm is that on a map?

Sladkaya [172]

Answer:

9 cm

Step-by-step explanation:

If the scale is 3cm:18 km, then x cm : 54km will be the distance between Riverside and Smithville. Since 18 *3 = 54 then 3cm * 3 = 9cm. On the map they are 9 cm apart.

5 0

3 years ago

Bought three books: 150, if one book cost 50% more than the other two combined what was the price of the more expensive book

EleoNora [17]

Two cheaper books = x
more expensive = 1.5x
so, 2.5x=150
150/2.5=x=60
therefore the more expensive book = 90

7 0

3 years ago