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VashaNatasha [74]
3 years ago
9

The sum of 4 consecutive integers is 354. What is the second number in this sequence?

Mathematics
1 answer:
Ulleksa [173]3 years ago
8 0

354 / 4 = 88.5

 so2 numbers below that and 2 numbers above that:

87 + 88 + 89 +90 =


2nd number is 88

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C=5p+215 for p the formula c=5p + 215 relates c, the total cost in dollars of hosting a birthday party at a skating rink,to p, t
Nezavi [6.7K]
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it should be 17, people 
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5 0
3 years ago
-9x-6y=15,9x-10y=145
vazorg [7]

-9x-6y=15

9x-10y=145

Find y first by eliminating the x.

Add the two equations together.

-9x+9x-6y+-10y=15+145

-6y+-10y=15+145

-6y-10y=160

-16y=160

divide both sides by -16 to get +y

-16y/-16=160/-16

y=-10

Use the substitution method to find x

-9x-6y=15

-9x-6(-10)=15

Do the bracket first

-9x+60=15

Move +60 to the other side. Sign changes from +60 to -60.

-9x+60-60=15-60

-9x=-45

Divide both sides by -9

-9x/-9=-45/-9

x=5

Answer:

( 5,-10)

3 0
4 years ago
A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular
kap26 [50]

Answer:

  a) no

  b) 143 rectangular containers

  c) 157 cylindrical containers

  d) both (preferring rectangular for the bulk of an order)

Step-by-step explanation:

a) If the company needs to package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs?

  No.*

For packaging 41 candles or fewer, the cylindrical container costs less than the rectangular one.

For packaging 6400 candles, there will be 10 candles left over if rectangular containers are used for most of the packaging needs. A dollar can be saved by packaging these remaining candles in a cylindrical container.

__

b) How many rectangular containers will be necessary to package 6,400 candles?

  6400/45 = 142 10/45

If rectangular containers are used for all, then 143 are needed.

__

c) How many cylindrical containers will be necessary to package 6,400 candles?

  6400/41 = 156 4/41

If cylindrical containers are used for all, the 157 are needed.

__

d) Which container should the company use to minimize costs?

  The cost of 143 rectangular containers is 143×$16 = $2288

  The cost of 157 cylindrical containers is 157×$15 = $2355

  The cost of 142 rectangular and 1 cylindrical container is $2287

If only one shape container is used, the company should use rectangular containers to minimize cost. If either shape can be used, cost will be minimized by using one cylindrical container for the remnant of the order.

_____

* This question is directed solely at the cost of materials required for packaging. We have advocated that both rectangular and cylindrical containers be made available. As a practical matter, the cost to the company of maintaining inventory of both sizes of containers may exceed the savings associated with using a cheaper container for smaller orders.

8 0
3 years ago
How are corresponding angles of two similar figures related
seraphim [82]

Answer:

the corresponding angles are equal in similar figures.

Step-by-step explanation:

When two figures are similar then the corresponding angles of the two figures are equal. the side of the figures are in proportional.

for example, when triangle ABC is similar to triangle DEF

then the corresponding angles are equal

<A=<D

<B=<E

<C=<F

so the corresponding angles are equal in similar figures.

6 0
3 years ago
Help me out the meaning
WITCHER [35]

slope intercept form:

y = mx + b

m = slope

b = y-intercept

the y-intercept is the place on the y-axis (vertical) where the line crosses. In this problem, the line crosses at (0,4), meaning the y-intercept is 4.

y = mx + 4

the slope is technically the rate of change (rise over run) bewteen points.

If you take the distance from point (-1,3) and (0,4) you get a slope of 1/1, or just 1

y = 1x +4

this could also be:

y = x + 4

(because the 1 is invisible but still there)

5 0
3 years ago
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