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victus00 [196]
3 years ago
6

Find two consecutive odd integers whose sum is 111

Mathematics
2 answers:
notka56 [123]3 years ago
8 0
The two odd numbers who’s sum is 111 are 53.5 and 57.5.
VARVARA [1.3K]3 years ago
7 0

Answer:

54.5 and 56.5

Step-by-step explanation:

To solve this, we need to know the meaning of the term 'consecutive odd integers'

Consecutive odd integers are odd odd integers which follow each other in the pattern such as; 1, 3, 5, 7,9,11,13,15------etc

This implies they take the form n, n+2, n+4, n+6, n+8, n+10--------etc where n is an odd number.

Haven gotten the above definition, we will now proceed to solve the question.

we are ask to find the two consecutive odd numbers whose sum is 111

let the two numbers be n and n+2

n + n+2 =111

2n + 2 = 111

subtract 2 from both-side of the equation

2n + 2 - 2 = 111 -2

2n = 109

Divide both-side of the equation by 2

\frac{2n}{2}   =  \frac{109}{2}

(at the left-hand side of the equation 2 will cancel-out 2, leaving us with just n and on the right-hand side of the equation 109 will be divided by 2)

n = 54.5

The first number is n=54.5

The second number is n+2 = 54.5 + 2 =56.5

Therefore, the two consecutive numbers whose sum is 111 is 54.5 and 56.5

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Write the slope-intercept form of the equation for the line that passes through the point (-1,3) and has a slope of 5/3​
cricket20 [7]

Answer:

y=\frac{5}{3}x+4\frac{2}{3}

Step-by-step explanation:

slope-intercept form: y = mx + b

Given:

Slope(m) = \frac{5}{3}

Point = (-1, 3)

To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:

3=\frac{5}{3}(-1)+b

3=-\frac{5}{3}+b

4\frac{2}{3}=b

Now that we know the values of b and m, we can write the equation:

y = \frac{5}{3}x+4\frac{2}{3}

4 0
2 years ago
What is the equation of the horizontal asymptote? f(x)=4(52)x+7<br> y=?
natta225 [31]

ANSWER

y=7

EXPLANATION

The horizontal asymptote of an exponential function

f(x)= a {(b)}^{x}  + c

is y=c.

The given exponential function is

f(x)= 4 {(52)}^{x}  + 7

When we compare to

f(x)= a {(b)}^{x}  + c

c=7, therefore the horizontal asymptote is y=7.

4 0
3 years ago
6b. Create a table that shows the relationship between the amount of
goblinko [34]

Answer:

120 x W = M

Step-by-step explanation:

If she makes 120 per week working then the number of the week she has work multiplied by 120 is her total for whichever week

8 0
2 years ago
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
mars1129 [50]

Answer:

2c^2 - 2c - 3

Step-by-step explanation:

Next time, please share the answer choices.  Thank you.

Group together the 'c' terms in 2 + 7c – 4c2 – 3c + 4:

                                                     2  + 4c and -4c^2 + 4  Then we have:

-4c^2 + 4c + 6

We should reduce this by factoring -2 out of all three terms:

2c^2 - 2c - 3  This is the desired quadratic in standard form.

3 0
2 years ago
Helpp!! Thank you! Take care!!
alina1380 [7]

Answer:

B or $12.50

Step-by-step explanation:

To get the answer, you have to solve x from the equation 4.5x = 56.25

To solve, you have to divide 4.5 from each side, making the equation look like,

x = 12.5

Hope this helps!!

Plz let me know if I'm wrong...

7 0
3 years ago
Read 2 more answers
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