All categories

1 year ago

The sum of two integers is 67 the larger is 23 less than twice the smaller find the two integers

Mathematics

1 answer:

Alekssandra [29.7K]1 year ago

4 0

Answer:

<h2>Smaller Integer = 30</h2><h2>Larger integer = 37</h2>

Step-by-step explanation:

<h2>Conditions:</h2>

There are two integers whose value are to bee found out.
Sum of those two integers is 63.
The larger integer is 23 less than twice the smaller one.

The two integers in the given condition.

<h2>Solution:</h2>

Let,

The smaller integer be x

So, larger integer will be = 2x - 23

Given,

The sum of these two integers is = 67

∴ According to the condition,

=> x + 2x - 23 = 67

(Taking the like terms on each sides)

=> x + 2x = 23 + 67

(Adding the like terms)

=> 3x = 90

(Dividing each side with 3)

=> x = 30

Then,

The smaller integer is = x = 30

and, Larger integer is = 2x - 23 = 37

Hence,

The required smaller and larger integers are 30 and 37 respectively (Ans)

You might be interested in

James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collecti

Stolb23 [73]

Answer:

Step-by-step explanation:

Using process of elimination we know that it cannot be a,b or c because after you add the 2 new stamps james collected the ratio is 8:12 which cannot be 1:2 because 8 is not half, can't be B because 8 is less than 12, Also cannot be C because 8 is less than 12

8 0

2 years ago

An exponential function with a base of 1/2 has been vertically compressed by a factor of 3/4 and reflected in the x-axis. It's a

joja [24]

We are asked in this problem to determine the expression of an exponential function given the data above. The standard form of an exponential function is expressed as y = a^x + b was a is the base constant and b is another constant. In this case, a is given to be equal to 1/2. since the graph is said to be shrunk down to 3/4 then the initial expression would have to be y = 3/4*(1/2)^x + b. b is determined through the given asymptote in the problem. An asymptote is an axis or the line in which the graph approaches but never touches. b is equal to -4. In this case, the overall expression is y = 3/4 *(1/2)^x - 4.

7 0

3 years ago

Factor the expression using distributive property: 72b + 45

ANTONII [103]

The answer would be 9(8b+5)
this is how you do it...
1. find the GCF of both numbers in this one the GCF would be 9
now, what do you multiply 9 by to get 72... 8, so 8 would go into the parenthesis and because there is a variable there which is 'b' the 8 would become '8b' now what do you multiply 9 with to get 45? '5' so you would add 5 into the parenthesis and that would be your answer!

Hope this helped! :D

8 0

2 years ago

Which expression is equal to -18b^-4

victus00 [196]

Answer:

$- \frac{18}{ {b}^{4} }$

Step-by-step explanation:

$- 18b {}^{ - 4}$

express b^-4 with a positive exponent using:

$a {}^{ - n} = \frac{1}{ {a}^{n} }$

$- 18 \frac{1}{ {b}^{4} }$

$- \frac{18}{ {b}^{4} }$

8 0

2 years ago

WILL REWARD/// BRAINLIEST/// 20 POINTS

eimsori [14]

Right triangles have 3 sides and can be named according to an angle other than the 90 degree one. They are named opposite, adajacent, and hypotenese.
Then use SOHCAHTOA.
SOH means sin equals opposite/hypotunse.
CAH means cosine equals adjacent/hypotnuse.
TOA means tagent equals opposite/adjacent.
Hard to explain without a diagram. :)

4 0

2 years ago