Answer:
The answer to your question is below
Step-by-step explanation:
a)
z² - 5z + 8
Equal to zero z² - 5z + 8 = 0
Subtract 8 in both sides z² - 5z + 8 - 8 = 0 - 8
Simplify z² - 5z = -8
Divide -5 by 2 write the result
in both sides of the equation z² - 5z + (-5/2)² = -8 + (-5/2)²
to the power of 2
Simplify z² - 5z + 25/4 = -8 + 25/4
z² - 5z + 25/4 = -32/4 + 25/4
z² - 5z + 25/4 = -7/4
Factor (z - 5/2)² = -7/4
b)
x² - 0.6x + 1
Convert 0.6 to a fraction 0.6 = 6/10 = 3/5
x² - 3/5x + 1
Equal to zero x² - 3/5x + 1 = 0
Subtract -1 in both sides z² - 3/5z + 1 - 1 = 0 - 1
Simplify z² - 3/5z = - 1
Divide -3/5 by 2 write the result
in both sides of the equation z² - 3/5z + (-3/10)² = -1 + (-3/10)²
to the power of 2
Simplify z² - 3/5z + 9/100 = -1 + 9/100
z² - 3/5z + 9/100 = -100/100 + 9/100
z² - 3/5z + 9/100 = -91/100
Factor (z - 3/10)² = -91/100
Answer:
8 walls
Step-by-step explanation:
While painting the interior of a large house, Gene is going to transfer some paint in a large 5 gallon container to a smaller bucket. Unfortunately he slips and spills 2 gallons of paint all over the floor.
The remaining amount of paint is
= 5 gallons - 2 gallons
= 3 gallons
If each wall in the house takes 9/24 of a gallon to paint, how many walls can he paint with what he has left?
Hence:
9/24 gallon = 1 Wall
3 gallons = x wall
Cross Multiply
9/24 × x = 3 × 1
x= 3 ÷ 9/24
x = 3 × 24/9
x = 8 walls
He can paint 8 walls with what is left.
B. 110
C. 130
D. 180
Using matrices to solve, the number of calories that are in 1 serving of milk is; 110 Calories
Let the calories in one serving of milk be x
Let the calories in one serving of juice be y
Let the calories in one serving of soda be z
Thus, for Joe, equation to show amount of calories is;;
2x + y + z = 530 -----(1)
For Darius, equation to show amount of calories is; ;
x + 2y = 370 ------(2)
For Marian, equation to show amount of calories is;
3x + z = 510 ------(3)
Using matrix calculator online to calculate this 3 equations, we have;
x = 110 calories.
Read more about Linear Programming at; brainly.com/question/23414950
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Answer:
the answer is B on ed2020
Step-by-step explanation:
for answer b, if you subtract 330 from 510 you get soda = 180 cal. then if you subtract 110 from 370 you get 260, and 260 divided by two (he consumed 2 juice) equals 130.
so you have soda = 180 cal and juice = 130 cal
if you plug it into joe's calorie intake you do 130 (1 serving of juice) + 180 (1 serving of soda) and + 220 (two servings of milk) you get 530 which is joe's total calorie intake in liquids, so B (110) is correct
£132 in the ratio 3:8 as 36 and 96.
A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two quantities of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol. As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Ratio= 3:8
Now, total = 3+ 8 = 11
So, First
£132 x 8/ 11
= 12 x 8
= 96
and, second
132 / 3/11
= 12 x 3
= 36
Hence, £132 in the ratio 3:8 as 36 and 96.
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Answer:
2/3 ≈ 0.666667
5/11 ≈ 0.454545
5/6 ≈ 0.833333
6/7 ≈ 0.857143
Step-by-step explanation:
Easiest and fastest way to do this is to use a calculator to find your decimals and then approximate.
Answer:
2/3 = 2 divided by 3 so 2 divided by 3 = 0.666667. We round up because it is a repeating decimal which goes on forever
5/11= 5 divided by 11 = 0.454545
5/6 = 5 divided by 6 =0.833333
6/7 = 6 divided by 7 = 0.857143
rounded up because it is an infinite decimal
Hope this helps
Step-by-step explanation: