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ivanzaharov [21]
3 years ago
14

The sum of 4 consecutive integers is 40 what is the third number in this sequence?

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0
Let's represent the numbers by : x, x+1, x+2, x+3
x+x+1+x+2+x+3=40                     The third number in the sequence is x+2
4x+6=40                                           8.5+2=10.5
4x+6-6=40-6                               Therefore the third number in the sequence is
4x=34                                             10.5
4x/4=34/4
x=8.5
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You surveyed 112 students and found out that 14 went to the movies last week-
Cerrena [4.2K]

Answer:

c) 325

Step-by-step explanation:

The fraction of students that went to the movies is 14/112. To find the number of students who went to the movies from a larger group, you have to find a fraction equal to 14/112, whose denominator is 2600 (the number of students from the larger group).

14/112 = x/2600

You can do cross multiplication here. Cross multiplication is multiplying the denominator of one fraction by the numerator of the fraction equivalent to it. That product will be equal to the numerator of the first fraction * denominator of the second fraction.

112*x = 14*2600

x = 325

Approximately 325 students out of 2600 students would've gone to the movie last weekend.

4 0
3 years ago
Solve for r in the scientific formula d = rt.<br><br> r = _______
marta [7]
R = d/t is the answer. Hope this helped
4 0
3 years ago
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Ellie's Bakery is having a grand opening sale. All pastries are being discounted by 25%. Let x represent the regular price of an
Sindrei [870]

a) The expression to find the sale price of pastry =  0.75 x

b)  The regular price of the pastry bought by Kimberly = $2.70

Step-by-step explanation:

Step 1 :

Let x be the regular price of the pastry in the bakery

Percentage of discount = 25%

Amount of discount  = 0.25 x

The expression to find the sale price of pastry = x - 0.25 x = 0.75 x

Step 2 :

Sale price of the pastry bought by Kimberly = $2.03 = 0.75 x

<u>To find the regular price</u>

0.75x = 2.03

x = \frac{2.03}{0.75} = 2.70

Regular price of the pastry bought by Kimberly = $2.70

Step 3 :

Answer :

a) The expression to find the sale price of pastry =  0.75 x

b) The regular price of the pastry bought by Kimberly = $2.70

8 0
3 years ago
The water in a reservoir decreased by 47% during a drought. Before the drought, the reservoir held 44,580 acre ft (AF) of water.
RSB [31]


44,580 x 47 %

44,580 x .47 = 20,952.6

So, the water decreased 20,952.6 ft

If you want the water level after the drought just subtract.

44,580 - 20,952.6 =  23,627.4 ft

Hope this helps. :)

5 0
3 years ago
What are the roots of the equation?<br><br> x^2+24=−11x<br><br> Enter your answers in the boxes.
docker41 [41]
<span>The <u>correct answers</u> are:

x=-3 and x=-8.

Explanation<span>:

We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
8 0
3 years ago
Read 2 more answers
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