Answer:
12
Step-by-step explanation:
this equation is in slope intercept form which is
y=mx+b
you just have to remember that m is your slope and b is your y intercept
therefore, the y intercept is 12
<h2>
Hello!</h2>
The answers are:
A.
and ![\frac{10}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D)
D.
and ![1\frac{5}{7}](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B7%7D)
<h2>
Why?</h2>
To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.
We are given two fractions that are like fractions. Those fractions are:
Option A.
and ![\frac{10}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D)
We have that:
![\frac{10}{12}=\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D%3D%5Cfrac%7B5%7D%7B6%7D)
So, we have that the pairs of numbers
and
![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.
Option D.
and ![1\frac{5}{7}](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B7%7D)
We have that:
![1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B7%7D%3D1%2B%5Cfrac%7B5%7D%7B7%7D%3D%5Cfrac%7B7%2B5%7D%7B7%7D%3D%5Cfrac%7B12%7D%7B7%7D)
So, we have that the pair of numbers
and
![\frac{12}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B7%7D)
Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.
Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.
The other options are:
![\frac{3}{2},\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%2C%5Cfrac%7B2%7D%7B3%7D)
and
![3\frac{1}{2},4\frac{4}{4}](https://tex.z-dn.net/?f=3%5Cfrac%7B1%7D%7B2%7D%2C4%5Cfrac%7B4%7D%7B4%7D)
We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.
Hence, the answers are:
A.
and ![\frac{10}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D)
D.
and ![1\frac{5}{7}](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B7%7D)
Have a nice day!
Answer:
9 3/4 pages = x
Step-by-step explanation:
change 3 1/4 to a decimal
![\frac{3.25}{8} = \frac{x}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B3.25%7D%7B8%7D%20%3D%20%5Cfrac%7Bx%7D%7B24%7D)
![3.25(24) = 8x](https://tex.z-dn.net/?f=3.25%2824%29%20%3D%208x)
![78 = 8x](https://tex.z-dn.net/?f=78%20%3D%208x)
![\frac{78}{8} = x](https://tex.z-dn.net/?f=%5Cfrac%7B78%7D%7B8%7D%20%3D%20x)
![9\frac{3}{4} =x](https://tex.z-dn.net/?f=9%5Cfrac%7B3%7D%7B4%7D%20%3Dx)
working with the fraction
3 1/4 /8 = x/ 24
3 1/4 (24) = 8x
13/4 (24) = 8x
316/4 = 8x
78 = 8x
78/8 = x
9 3/4 = x
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, thus
∠1 = 180° - (72 + 57)° = 180° - 129° = 51°
The right angle at the left vertex is composed of 72° and ∠2, thus
∠2 = 90° - 72° = 18°
57° and ∠3 form a straight angle and are supplementary, thus
∠3 = 180° - 57° = 123°
∠4 = 180° - (∠2 + ∠3 ) ← sum of angles in a triangle
∠4 = 180° - (18 + 123)° = 180° - 141° = 39°
If a 1L IV contains 60meq of kcal and the IV was discontinued after 400ml has infused, then the amount of IV received by the patient is 24meq of kcal.
Calculation for the Amount of IV
It is given that,
1L IV contains 60meq of kcal
⇒ 1000 mL of IV contains 60meq of kcal
⇒ 1 mL of IV will contain 60 / 1000 meq of kcal
As per the question,
The amount of IV infused in the patient = 400 mL
⇒ The amount of IV received by the patient in meq of kcal = 400 × (60 / 1000)
= 4 × 6
= 24 meq of kcal
Hence, the patient receives 24meq of kcal amount of IV.
Learn more about amount here:
brainly.com/question/4567186
#SPJ1