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2 years ago

Three consecutive integers have a sum of 114. what are the three integers

Mathematics

2 answers:

Anuta_ua [19.1K]2 years ago

8 0

Let the smallest one be x, the second one is then x+1, the third one is x+2
x+(x+1)+(x+2)=114
3x+3=114
3x=111
x=37
the three consecutive integers are: 37,38,39

Mandarinka [93]2 years ago

7 0

Our three consecutive integers are 37, 38, and 39.

Work is provided in the image attached.

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Kimane and a friend picked apples. Kimane picked 4 2/3 and his friend picked 5 5/6 pounds. About how many pound of apples do the

Gala2k [10]

Answer:

$9\dfrac{1}{2}$

Step-by-step explanation:

To find many more pounds of apples Kimane and his friend needs to get, we first need to find out how many pounds of apples they picked together.

Kimane = $4\dfrac{2}{3}$

Friend = $5\dfrac{5}{6}$

We add them together to find out how many pounds of apples they currently have.

Total Pounds = $4\dfrac{2}{3}+5\dfrac{5}{6}$

Just to make the equation clearer, we separate the whole numbers from the fractions.

$=4+5+\dfrac{2}{3}+\dfrac{5}{6}$

$=9+\dfrac{2}{3}+\dfrac{5}{6}$

Now since we cannot add the 2 fractions directly since they have different denominators, we need to convert the $/dfrac{2}{3}$ into a fraction with the same denominator.

We multiply both the numerator and denominator by 2 to have the same denominator.

$\dfrac{2*2}{3*2}=\dfrac{4}{6}$

So now we have:

$=9+\dfrac{4}{6}+\dfrac{5}{6}$

$=9+\dfrac{9}{6}or1\dfrac{1}{2}$

$Total Pounds = 10\dfrac{1}{2}$

Now that we know how many pounds Kimane and his friend collected, we simply subtract 20 and the total amount Kimane and his friend had already collected.

$20-10\dfrac{1}{2}$

$=9\dfrac{1}{2}$

So Kimane and his friend still need to get $9\dfrac{1}{2}$ more pounds of apples to get 20 pounds of apples.

6 0

2 years ago

Solve for R. P=R−C What is R equal to?

kykrilka [37]

Answer:

R = P+C

Step-by-step explanation:

P = R-C

+C +C

R = P+C

6 0

2 years ago

On a coordinate grid, point R is at (−6, 2) and point S is at (8, 2). The distance (in units) between points R and S is ______.

Talja [164]

You can use the distance formula:
d=sqroot(x2-x1)squared + (y2-y1)squared.
Plug in values: d=sqroot(8-(-6))squared + (2-2)squared
Simplify: d=sqroot(196)+0
Simplify:d=sqroot(196
Square Root: d=14 units

4 0

2 years ago

PLEASE HELPPP. What is the value of X? type the number TYPE ONLY THE NUMBER

masha68 [24]

Answer:

Value of X is 11

Step-by-step explanation:

hope it helps

7 0

2 years ago

I have $11.60 in dimes and quarters. I have 32 more dimes than quarters. How many dimes and how many quarters do I have?

Kazeer [188]

D=dimes
Q=quarters

D=32+Q
Q=?
D+Q=$11.6
D=(32*10)+Q=
$3.2+Q
$11.6-$3.2=$8.4
Each quarter must include 1 dime from now on because there’s 32 MORE dimes than quarters. $8.4/$0.35=24. (Divide 8.4 dollars by 1quarter+1dime, which is 35 cents.)

35 cents goes into $8.4 dollars 24 times. This means there’s 24 quarters and 24 more dimes. Returning to our original equations,
D=32+24
D=56
Q=24

This follows the rule of having 32 more dimes than quarters and the two add up to the correct amount, $11.60

There’s 56 dimes and 24 quarters

8 0

2 years ago