What is the unit rate of $112 in 8 hours

A cistern can be completely drained by a pipe in 6 hours. It can be filled by two pipes in 4 hours and 5 hours, respectively. Ho

boyakko [2]

X/4 +x/5 -x/6=1
make the denominator the same:
15x/60 +12x/60 -10x/60=1
17x=60
x=60/17=3.53 hours

the second choice is the correct answer.

6 0

3 years ago

I need help with this as soon as possible!

Kay [80]

Answer:

1. -3/6 is negative, because it descends by 3 and goes over by 6.

2. My first answer literally gives the keyword negative, therefore it's a negative line because it has a <em>negative slope</em>.

1. -8/0 is undefined, because there is a rise but there is no run, which also means that it's a:

2. vertical line

1. -5/-10 simplifies to 5/10 or 1/2, which is positive because it rises by 5(or 1) and runs over by 10(or 2).

2. Thus, this means that it's a positive line since it has a <em>positive slope</em>.

1. 0/-2 is zero, because when you actually solve the equation it'll equal 0.

2. This means that it'll have a horizontal line since there is no rise but there is a run only.

8 0

2 years ago

Calculate the length b to two decimal places.

Andrej [43]

Answer:

B. 21.64

Step-by-step explanation:

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

$c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta$

Upon substituting our given values in the formula we will get,

$(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)$

$(AC)^{2}=225+144-360\text{ cos}(106)$

$(AC)^{2}=369-360(-0.275637355817)$

$(AC)^{2}=369+99.22944809412$

$(AC)^{2}=468.22944809412$

Upon taking square root of both sides of our equation we will be get,

$AC=\sqrt{468.22944809412}$

$AC=21.6386101238993629\approx 21.64$

Therefore, the length of b is 21.64 and option B is the correct choice.

6 0

3 years ago

Use front-end estimation to estimate the sum. 56.7 + 23.44

Reika [66]

57+23 = 80
not rounded it's 80.14

7 0

3 years ago

You need 2b cups of flour for making b loaves of bread. You have 8 cups of flour . Do you have enough for 5 loafs of bread?Expla

lubasha [3.4K]

Answer:

No. I don't have enough Flour to make 5 loaves of bread.

From the Amount of flour i had i can make 4 loaves only.

Step-by-step explanation:

Given:

Flour required for making loaves of bread = $2b$ cups

Amount of flour i had = 8 cups

Number of loaves of bread = $b$

We need to find the we have enough flour to make 5 loafs of bread.

Solution:

We know that;

Amount of flour I had is equal to Flour required for making loaves of bread

framing in equation form we get;

$2b=8$

Dividing both side by 2 we get;

$\frac{2b}{2} =\frac{8}{2}$

$b=4$

Hence From the Amount of flour i had i can make 4 loaves only.

Hence I don't have enough Flour to make 5 loaves of bread.

3 0

3 years ago