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2 years ago

Christine is building a deck in her backyard. In order to place the

Mathematics

1 answer:

VLD [36.1K]2 years ago

5 0

Answer:

you will barely get any answers quick on here

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Complete the given ordered pairs for the equation. y = 2x + 1 (5, ) (0, ) (-2, )

VikaD [51]

Answer:

(5,11)

(0,1)

(-2,-3)

Step-by-step explanation:

y=2(5)+1

y=10+1

y=11

so... (5,11)

y=2(0)+1

y=0+1

y=1

so... (0,1)

y=2(-2)+1

y=-4+1

y=-3

so... (-2,-3)

6 0

2 years ago

The concession stand at football games sells pizza and drinks. You buy 4 drink and 6 slices of pizza for $6.70. Your friend buys

AfilCa [17]

Answer:

drinks: $0.55
pizza slices: $0.75

Step-by-step explanation:

Let d represent the cost of a drink, and p represent the cost of a pizza slice. Then the two purchases can be represented by ...

4d +6p = 6.70
3d +4p = 4.65

To solve these equations by elimination, choose a variable to eliminate and look at the coefficients of that in the two equations. If we choose to eliminate p, we see the coefficients of p are 6 and 4. The least common multiple of these numbers is 12. We can multiply the first equation by -2 and the second equation by +3 and the resulting coefficients of p will be -12 and +12. Adding the results of these multiplications will make the p terms add to zero.

-2(4d +6p) +3(3d +4p) = -2(6.70) +3(4.65)

-8d -12p +9d +12p = -13.40 +13.95 . . . . . . . . . eliminate parentheses

d = 0.55 . . . . . . . . . collect terms

Now, we can substitute this value into either equation to find the value of p. Using the first equation, we get ...

4(0.55) +6p = 6.70

6p = 4.50 . . . . . . . . . subtract 2.20

p = 0.75 . . . . . . . . . . divide by 6

The cost of a drink is $0.55; the cost of a slice of pizza is $0.75.

3 0

3 years ago

Read 2 more answers

Find the slope of the line that passes through (-2,-3) and (1,1).

Serga [27]

Slope formula : (y2 - y1) / (x2 - x1)
(-2,-3)...x1 = -2 and y1 = -3
(1,1)...x2 = 1 and y2 = 1
time to sub and solve
slope = (1 - (-2) / (1 - (-3) = (1 + 2) / (1 + 3) = 3/4 <==

8 0

3 years ago

Read 2 more answers

Common differences among the

drek231 [11]

The x is horizontal on a graph and then the y axis is vertical on a graph.

3 0

3 years ago

How many integers between 10 and 60, inclusive, can be evenly divided by neither 2 nor 3?

erastovalidia [21]

Find total number of integers.

$a_1=10,a_n=60,d=1 \\a_n=a_1+(n-1)d \\60=10+(n-1)1 \\n-1=50 \\n=51$

Find how many integers is divisible by 2.

$a_1=10,a_n=60,d=2
\\a_n=a_1+(n-1)d
\\60=10+(n-1)2
\\2(n-1)=50
\\n-1=25
\\n=26$

Eliminate even numbers.

11, 13, 15,..., 57, 59

This array contains 51 - 26 = 25 numbers.

Eliminate numbers before the first number divisible by 3 and after the last number divisible by 3.

15, 17, 19,..., 55, 57

This array contains 25 - 3 = 22 numbers.

Now we should eliminate numbers divisible by 3: 15, 21, 27...

$a_1=15,a_n=57,d=6,n=?
\\a_n=a_1+(n-1)d
\\57=15+(n-1)6
\\6(n-1)=42
\\n-1=7
\\n=8$

There are 8 such numbers.

Therefore, there are 25 - 8 = 17 numbers that can be evenly divided by neither 2 nor 3

6 0

3 years ago