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dedylja [7]
3 years ago
9

The sum of three consecutive integers is 84. Find the integers If the smallest integer is x, the equation will be

Mathematics
1 answer:
lions [1.4K]3 years ago
7 0
The three consecutive integers are 26, 28, and 30. Hope this helps!
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All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessarily the same as the weigh
BaLLatris [955]

Answer:

The largest possible weight of flour is 11.25  pounds.

Step-by-step explanation:

To start with, we will assume that the weight of 1 sack of sugar = x pounds

We will also assume that the weight of 1 sack of flour = y pounds

So, the weight of 2 sacks of sugar = 2 * (x) = 2x

Same thing goes for the weight of 3 sacks of flour  = 3 * (y) = 3y

Supposing that the weight of (2 sacks of sugar + 3 sacks of flour) ≤ 40 pounds

= 2x + 3y ≤ 40............ we'll call that equation 1.

Also, suppose that the weight of ( 1 sack of flour) ≤ 2 sacks of sugar + 5 pounds

= y ≤ 2x + 5........................ we'll call that equation 2

Therefore, we'll solve for the values of x and y in the two equations and we will get:

2x + 3y ≤ 40

y ≤  2x + 5

Now, substitute the value of y into equation 1

2x + 3y ≤ 40 ⇒ 2x + 3(2x +5) =40

⇒ 2x + 6x + 15= 40

⇒ 8x + 15 = 40

⇒ 8x = 25

⇒ x = 25/8

⇒ x = 3.12

x cannot be more than 3.12 pounds, so we solve for y

Putting the value of x into equation 2, we'll get

⇒ 2y + 5 = 2(3.12) + 5

⇒ y = 11.25 pounds.

So, n cannot be more than 11.25 pounds

8 0
3 years ago
There are 10 men and 14 women in Kathleen’s math class. What is the ratio of women to the total number of students in the class?
kari74 [83]

Answer:

14 to 25

Step-by-step explanation:

there are 14 women and 24 people altogether

5 0
3 years ago
A cylinder and a cone have the same base and height. The cylinder can hold about 4,712 mc015-1.jpg of sand. Jared says that the
exis [7]
The correct answer is C. So, lets go first to the equations that determine the volume of these solids. For the cylinder, that is simple; pi*r*r*h where r is the radius, h is the height and pi is the constant 3.14. For the cone, it is not easy to derive but one gets that the formula is:\frac{ \pi*r^2*h}{3}.

We notice thus that V_{cyl}=\pi*r^2*h=3V_{cone}. That holds irrespective of their radius or height; we only need to know that the heights and radii of the two objects are the same. Now, we have thus that:
\frac{V_{Cyl}}{V_{Cone} } =1/3.

We can check if this holds for Jared's statement; 1178/4712=0.25=1/4. So, it does not hold and thus Jared's statement is incorrect.
6 0
3 years ago
Read 2 more answers
Preston's vegetable patch is 7 yards wide and 17 yards long. Preston wants to build a fence around the vegetable patch. The fenc
bezimeni [28]

Answer: 238$

Step-by-step explanation: 7 x 17 = 119 mutiply this x 2.00 = 238

6 0
2 years ago
Olivia paid $10 and received $2.47 how much money did she spend​
disa [49]

Answer:

7.53

Step-by-step explanation:

10-2.47=7.53

6 0
3 years ago
Read 2 more answers
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