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4 years ago

The sum of the first and third of three consecutive even integers is 136. find the three even integers.

1 answer:

5 0

Based on your problem, you only have one given. So, you can't make an equation for this because there are not limits to the equation. The only thing that you know is that the three numbers are consecutive even integers. My way of solution for this is trial-and-error. However, it's really quite easy.

For example: 42 + 46 = 88. I have to increase the numbers more to reach 136. Suppose: 82 + 86 = 168. That exceeded 136. So, it must be between 46 and 82. Suppose again: 66 + 70 = 136. Therefore, the sequence of the consecutive even integers are 66, 68, and 70.

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At a farmers market strawberries cost $1.60 per pint, blueberries cost $2.30 per pint. A shopper bought twice as many pints of s

djverab [1.8K]

4 pints of strawberries and 2 pints of blueberries are bought

Solution:

Let "a" be the pints of strawberries bought

Let "b" be the pints of blueberries cost

Cost per pint of strawberry = $ 1.60

Cost per pint of blueberry = $ 2.30

A shopper bought twice as many pints of strawberries as pints of blueberries

Therefore,

a = 2b --------- eqn 1

They spent a total of $11.00. Therefore we frame a equation as:

pints of strawberries bought x Cost per pint of strawberry + pints of blueberries cost x Cost per pint of blueberry = 11

$a \times 1.60 + b \times 2.30 = 11$

1.6a + 2.3b = 11 --------- eqn 2

Substitute eqn 1 in eqn 2

1.6(2b) + 2.3b = 11

3.2b + 2.3b = 11

5.5b = 11

Divide both sides by 11

b = 2

Substitute b = 2 in eqn 1

a = 2(2)

a = 4

Thus 4 pints of strawberries and 2 pints of blueberries are bought

5 0

3 years ago

Test scores: Scores on a statistics exam had a mean of 75 with a standard deviation of 5. Scores on a calculus exam had a mean o

beks73 [17]

Answer:

CV for statistics exam = 15%

CV for calculus exam = 19%

Since the CV for calculus exam is higher, it has a greater spread relative to the mean than the statistics exam.

Step-by-step explanation:

To find coefficient variation we use the formula:

CV = (SD/mean) * 100

CV for the statistics exam:

where; SD= 5

mean= 75

CV = ( 5/75) *100

= 0.15 or 15%

CV for calculus exam

SD = 11

Mean= 58

CV= (11 /58) * 100

= 0.19 or 19%

8 0

3 years ago

In this figure , m<1=(2x)° and m<2 = (6x-6)° what is m<1

mojhsa [17]

Answer:

where is the figure?

Step-by-step explanation:

5 0

3 years ago

One x-intercept for a parabola is at the point (-2,0).

BARSIC [14]

You can find the x intercept by setting y to 0 and factor the equation.

0=2x^3+3x-2
0=(2x-1)(x+2)

We can make this equation =0 if x is -2 and 1/2.

So the x intercepts are (-2,0) and (0.5,0)

8 0

3 years ago

If mike read 30 pages an hour how long will it take him to read 1225 pages

Gnesinka [82]

Answer: 2450 min or 40hr and 50 min

Step-by-step explanation:

We can use a proportion to set up this equation.

$\frac{30 pages}{60 min} =\frac{1225 pages}{x min}$