All categories

2 years ago

The sum of two consecutive integers is −51. Find the integers.

Mathematics

1 answer:

yawa3891 [41]2 years ago

6 0

9514 1404 393

Answer:

-26, -25

Step-by-step explanation:

The average of the two is their sum divided by 2: -51/2 = -25.5. The average of consecutive integers is halfway between them.

Hence, one is -26 and one is -25.

You might be interested in

Please please help me

Gekata [30.6K]

Answer:

$\large\boxed{\dfrac{\boxed{8}}{81}}$

Step-by-step explanation:

$\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...,\ a_n\ \text{is the geometric sequence, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=constant=r-\text{common ration}.\\\\\text{We have}\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{2}{9},\ \dfrac{4}{27},\ ...\\\\\dfrac{\frac{1}{3}}{\frac{1}{2}}=\dfrac{1}{3}\cdot\dfrac{2}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{2}{9}}{\frac{1}{3}}=\dfrac{2}{9}\cdot\dfrac{3}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{4}{27}}{\frac{2}{9}}=\dfrac{4}{27}\cdot\dfrac{9}{2}=\dfrac{2}{3}$

$\bold{CORRECT}\\\\\dfrac{x}{\frac{4}{27}}=\dfrac{2}{3}\qquad\text{multiply both sides by}\ \dfrac{4}{27}\\\\x=\dfrac{2}{3}\cdot\dfrac{4}{27}\\\\x=\dfrac{8}{81}$

8 0

3 years ago

What is the answer and work for these attached below

GrogVix [38]

-4(-5-b)=1/3(b+16) Multiply both sides by 3 to get rid of the fraction
-12(-5-b)=b+16 distribute the -12 to get rid of the parenthesis
60+12b=b+16 get the b on the left side and non b values to the right side
11b=-44 solve for b
b=-44/11 simplify the fraction
b=-4

3/5(t+18)=-3(2-t) multiply both sides by 5/3 to get rid of thefraction
t+18=-5(2-t) distribute the -5 to get rid of the parenthises
t+18=-10+5t get the t to the left side and non t values to the right
-4t=-28 solve for t
t=7

5 0

3 years ago

Could someone PLEASE just HELP me with this question.

agasfer [191]

<u>Answer</u>

$\frac{7}{37}$

<u>Detailed Explanation </u>

To simply answer this, since .189 has three digits we are going to be inserting 999 as the denominator since it is a repeating decimal.

$\frac{189}{999}$

We could simplify the answer!

$\frac{189}{999}$

Therefore, the answer would simply be $\frac{7}{37}$

$\frac{7}{37}$

<u>Always Remember </u>

In the future, always remember whenever you have a three digit decimal and the problem asks you to convert it into a fraction, you should always insert 1000 as the denominator (the numerator is basically the decimal without the decimal point) and simplify if necessary.

5 0

3 years ago

Read 2 more answers

Please help me it is very much appreciated

pshichka [43]

Hope it helps you!

-miraculousfanx-

7 0

3 years ago

PLS HELP ME ASAP I WiLL MARK THE BRAINLIEST

Fittoniya [83]

Answer:

1400 is the volume and the surface area 980

Step-by-step explanation:

4 0

2 years ago