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pychu [463]
2 years ago
14

It is given that;

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
3 0

Step-by-step explanation:

(i) T = { 4, 8, 12}

U = {1,2,3,4,6,8,12,24}

(iii) TUU = {1,2,3,4,6,8,12,24}

(iv) yes, because all the elements in T are also the elements in U.

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In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of
frosja888 [35]

Answer:

3/10 is orange juice.

Step-by-step explanation:

Step 1: Find the total mL in the concoction

15 + 25 + 10 = 50 mL in a fruit cocktail

Step 2: Find the proportion of orange juice in 1 serving (50 mL) of cocktail

15/50 = 3/10

8 0
3 years ago
Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side the area of the smaller
horsena [70]

Answer: 20 feet by 20 feet.


Step-by-step explanation:

1. You know that x is the original measure of one side. Since it is a square, all its sides are equal.

2. Therefore, to solve the problem you only need to solve for x, as you can see below:

- You have that:

(a-b)^{2}=a^{2}-2ab+b^{2}

- Then, you obtain the following quadratic equation:

(x-8)^{2} =144\\x^{2}-2(x)(8)+8^{2}=144\\x^{2}-16x-80=0

- Apply the Quadratic formula to solve it:

x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}\\a=1\\b=-16\\c=-80

- Then, you obtain:

x_1=20\\x_2=-4

3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.


3 0
3 years ago
Read 2 more answers
Use the distributive property to expand -4 (-2/5 + 3 x). Which is an equivalent expression?
Brrunno [24]

Answer:

8/5-12x.

Step-by-step explanation:

To distribute, you simply need to multiply each of the terms inside of the parenthesis by -4. This will give you:

=-4(\frac{-2}{5})-4(3x)

=8/5-12x. This is your answer!

7 0
2 years ago
Which represents the solution(s) of the graphed system of equations, y = x2 + 2x – 3 and y = x – 1?
Sonja [21]

Answer:

Second option: (-2,-3) and (1,0)

Step-by-step explanation:

Given the system of equations \left \{ {{y = x^2 + 2x-3} \atop {y = x - 1}} \right., you can rewrite them in this form:

x^2 + 2x-3= x - 1

Simplify:

x^2 + 2x-3-x+1=0\\\\x^2+x-2=0

Factor the quadratic equation. Choose two number whose sum be 1 and whose product be -2. These are: 2 and -1, then:

(x+2)(x-1)=0\\\\x_1=-2\\\\x_2=1

Substitute each value of "x"  into any of the original equation to find the values of "y":

y_1= (-2) - 1=-3\\\\y_2=(1)-1=0

Then, the solutions are:

(-2,-3) and (1,0)

7 0
3 years ago
Read 2 more answers
Find the value of x and the value of y for which (x,23) and (18,y) ate the points on the graph y=0.5x+15
shutvik [7]

Answer:

x=16; y=24

Step-by-step explanation:

for (x,23), 23=0.5x+15

x=16

for (18xy), y=0.5*18+15=24

8 0
3 years ago
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