MATHEMATICS MIDDLE SCHOOL

The sum of y and -30 is 40

Answers

Answer 1

Answer:

Answer:

The answer is 70

Step-by-step explanation:

Just add 40 and 30 and you'll get your answer

Answer 2

Answer:

Final answer:

To find the value of y, set up an equation where y + (-30) = 40. Solve for y by isolating it on one side of the equation.

Explanation:

To solve this problem, we can set up an equation using the information given. Let's represent the unknown number, which is the sum of y and -30, as x. We can write the equation x = 40. To find the value of x, we'll need to isolate it by performing the opposite operation of adding -30, which is adding 30 to both sides of the equation. This gives us x + 30 = 70. Finally, subtracting 30 from both sides gives us x = 70.

Learn more about Solving equations here:

brainly.com/question/18322830

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Ava needs 2 pounds of vegetables for her party. She already has 14 pound of carrots and 12 pound of broccoli.

Drag weights of vegetables she can add to the vegetables she already has to make exactly 2 pounds.

Answers

Answer:

The possible amounts of vegetables - 2 pounds of carrot and 0 pounds of broccoli, 0 pounds of carrot and 2 pounds of broccoli, 1 pound of carrot and 1 pound of broccoli

Step-by-step explanation:

It is given that,

Ava has already purchased the amount of vegetables given by,

Carrots = 14 pounds

Broccoli = 12 pounds

She needs exactly 2 pounds of the vegetables for the party.

Thus, the possible amount of vegetables she can have is,

Total Pounds Carrots (pounds) Broccoli (pounds)

2 2 0

2 0 2

2 1 1

Answer:

She can add 5/8 pounds of more broccoli and 5/8 pounds of lettuce

Step-by-step explanation:

The problem has errors. The right problem is

Ava needs 2 pounds of vegetables for her party. She already has 1/4 pound of carrots and 1/2 pound of broccoli. Drag weights of vegetables she can add to the vegetables she already has to make exactly 2 pounds.

We know that Ava already as 1/2 pounds of broccoli and 1/4 pounds of carrots, so in total she has

$(1)/(2)+(1)/(4)=(4+2)/(8)=(6)/(8)=(3)/(4) lb$

To know how many pounds she needs, we have to find the difference

$2-(3)/(4)= (8-3)/(4)=(5)/(4)lb$

Therefore, she needs to add 5/4 pounds of another vegetable to make exactly 2 pounds. She can add 5/8 pounds of more broccoli and 5/8 pounds of lettuce

There ratio of boys to girls is 17:3 there are 740 people how many boys are there

Answers

ratio of boys to girls= 17:3
number of people= 740

to find the number of boys out of 740 people, you have to add the ratio together and divide 740 by it. then multiply the answer by 17 because the ratio for boys is 17.

17+3=20

740÷20=37
37×17=629

answer= 629
hope this helps....

Dexter rides his bike 3 1/4 miles each day on Monday, Wednesday, and Friday. On Tuesday and Thursday he rides 7 3/8 miles each day. How many miles does he ride for the five days?

A. 9 3/4 miles

B. 10 5/8 miles

C. 14 3/4 miles

D. 24 1/2 miles

Answers

3(3.25)+2(7.375)

9.75+14.75

24.5 or 24 1/2

A cone has a radius of 5 inches and a height of 18 inches. What is the exact volume of the cone?

Answers

volume of cone = pi x r^2 x h/3
= pi x 5^2 x 18/3
answer = 471.238898

You do V≈471.24in³ so... you can ad the numbers so that you can do that

The bed of a pick up truck measures 4' x 8" to the nearest inch what is the length of the longest thin metal bar that will lie flat in the bed

Answers

ok so what y ou want to do it to max space, lie it diagonally
use pythagoren theorem
first convert the units

4'=4 feet
8''=8 inches
convert to inches
4 feet times 12=48 inches

so
pythagorea theorem is
a^2+b^2=c^2
c=hypotonuse
a and b are legs
in a right triangle

8 and 48 are the legs
fidn hypotonuse

8^2+48^2=c^2
64+2304=c^2
2368=c^2
8√37=c
aprox
48.66=c
4 feet amd 0.66 inches

Which point is 7 units from (–2, 4)? A.
(–5, 4)

B.
(–2, 3)

C.
(5, 4)

D.
(9, 4)

Answers

The distance formula:
$d=√((x_2-x_1)^2+(y_2-y_1)^2)$

$(x_1,y_1)=(-2,4) \nd=7 \n \n7=√((x-(-2))^2+(y-4)^2) \n7=√((x+2)^2+(y-4)^2) \ \ \ |^2 \n49=(x+2)^2+(y-4)^2$
Check which point satisfies the equation:
$(x,y)=(-5,4) \n49 \stackrel{?}{=} (-5+2)^2+(4-4)^2 \n49 \stackrel{?}{=} (-3)^2+0^2 \n49 \stackrel{?}{=} 9 \n49 \not= 9 \ndoesn't \ satisfy \ the \ equation$

$(x,y)=(-2,3) \n49 \stackrel{?}{=} (-2+2)^2+(3-4)^2 \n49 \stackrel{?}{=} 0^2+(-1)^2 \n49 \stackrel{?}{=} 1 \n49 \not= 1 \ndoesn't \ satisfy \ the \ equation$

$(x,y)=(5,4) \n49 \stackrel{?}{=} (5+2)^2+(4-4)^2 \n49 \stackrel{?}{=} 7^2+0^2 \n49 \stackrel{?}{=} 49 \n49=49 \nsatisfies \ the \ equation$

$(x,y)=(9,4) \n49 \stackrel{?}{=} (9+2)^2+(4-4)^2 \n49 \stackrel{?}{=} 11^2+0^2 \n49 \stackrel{?}{=} 121 \n49 \not= 121 \ndoesn't \ satisfy \ the \ equation$

The answer is C.

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