a. It is rewritten as 15/4 + 4⅓
b. The fraction would be positive
c. The solution as a mixed fraction is: 8
<h3>What is a Mixed Fraction?</h3>
A mixed fraction is a number that has a combination of a fraction part and a whole number. For example, 2⅓ is a mixed fraction.
Given the expression, 15 / 4 – (-4⅓), the steps below can be used to solve the fractional expression as a mixed fraction:
a. Rewrite as addition:
15/4 + 4⅓ [note, minus multiplied by minus = plus]
b. The answer would be positive because we are adding two positive fractions.
c. Solve as mixed fraction as shown below:
15/4 + 13/3
The common denominator of the two fractions is 12, thus:
= [3(15) + 4(13)]/12
= [45 + 52]/12
= 97/12
Express as mixed fraction:
97/12 = 8
Learn more about mixed fractions on:
brainly.com/question/26836561
#SPJ1
12√18-6√20-3√50-8√45
<em>*Break each radical up into the product of a radical of a perfect square and a second radical*</em>
12(√9*√2)-6(√4*√5)-3(√25*√2)-8(√9*√5)
<em>*Simplify the radicals*</em>
12(3√2)-6(2√5)-3(5√2)-8(3√5)
<em>*Distribute*</em>
36√2-12√5-15√2-24√5
<em>*Combine like terms</em>*
21√2-36√5
Hope this helps!!
Answer: C) Three-fourths
I.e., the fraction 3/4
======================================================
Explanation:
Let's pick on the horizontal sides. Divide the image length Y'Z' = 9 over the corresponding preimage length YZ = 12 to get
(Y'Z')/(YZ) = 9/12 = 3/4 which is the scale factor
The scale factor is less than 1, meaning the image's lengths are shorter compared to the preimage's corresponding lengths.
-----------------
Alternative Paths:
You can pick any other pair of corresponding sides to get the same result:
- (X'Y')/(XY) = (7.5)/(10) = 75/100 = 3/4
- (Z'X')/(ZX) = 6/8 = 3/4
<span>m∠KNL = m∠MNJ
3(x+14) = 5x + 2
3x + 42 = 5x + 2
2x = 40
x = 20
</span>m∠KNL = 3(x+14)
m∠KNL = 3(20+14)
m∠KNL = 3(34)
m∠KNL = 102
Answer:
12,24,36,48,60,72,84,96,108,120,132,144,156,168,180,192,204,216,228,240,252,264
Step-by-step explanation:
