All categories

4 years ago

the sum of two consecutive integers is -49. Write an equation that models this situation and find the values of the two integers

Mathematics

1 answer:

algol [13]4 years ago

7 0

X + x +1 = -49
2x + 1 = -49
2x +1 -1 = -49 -1
2x = -50
x = -25
x + 1 = -24
Check -25 + -24 = -49

You might be interested in

386÷9 <img src="https://tex.z-dn.net/?f=9%20%5Csqrt%7B386%7D%20" id="TexFormula1" title="9 \sqrt{386} " alt="9 \sqrt{386} " a

Vikentia [17]

the answer would be 42.9 because the final answer (not rounded) would be 42.8888 however if you round the 8 you get 42.9

8 0

4 years ago

Which points lie on the graph of f(x) = -√-x?

padilas [110]

Answer:

(-4, -2).

(0, 0).

Step-by-step explanation:

Both coordinates will be negative or (0.0).

3 0

2 years ago

Read 2 more answers

Equation of the line (4,1) and (8,5)

Hatshy [7]

Answer:

when in doubt, the answer is 0

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha

amid [387]

Answer:

Given:

mean, u = 6.2

sample size, n = 180

Sample mean, X' = 6.3

s.d $\sigma$ = 0.9

Significance level = 0.05

The null and alternative hypothesis will be:

H0 : u = 6.2

H1 : u > 6.2

Degree of freedom = 180 - 1 = 179

Using t table, the t critical value,

t> t(0.05, 179) = 1.6534

The test statistic:

$t = \frac{X' - u}{\frac{\sigma}{\sqrt{n}}}$

$T = \frac{6.3 - 6.2}{\frac{0.9}{\sqrt{180}}} = 1.4907$

Since the test statistic(t calculated value) 1.4907 < t critical value (1.6534), we fail to reject the null hypothesis H0.

4 0

3 years ago

Kaitlyn is making a quilt she purchased a 46 foot long piece of lace to sew around the edges of the quilt she needs 322 inches o

kupik [55]

Answer:

19.17 feet of lace will be leftover.

Step-by-step explanation:

Given:

Kaitlyn is making a quilt she purchased a 46 feet long piece of lace to sew around the edges of the quilt she needs 322 inches of lace for the quilt.

Now, to find the feet of lace will be leftover.

Total feet of lace = 46.

Kaitlyn needs lace for the quilt = 322 inches.

So, by using conversion factor we change inches into feet:

12 inches = 1 foot.

322 inches = $\frac{322}{12} =26.83\ feet.$

Feet of lace she need for the quilt = 26.83.

Now, to get the feet of leftover lace:

Total feet of lace - feet of lace she need for the quilt

$=46-26.83$

$=19.17\ feet.$

Therefore, 19.17 feet of lace will be leftover.

3 0

3 years ago