the sum of two numbers is 68. the larger number is 14 more than the smaller number. what are the numbers?

Answers

Answer 1
Let the smaller number be x.Then, the larger number = x + 14Given, the sum of these two numbers is 68.Therefore, by the problemx + (x + 14) = 68or, 2x + 14 = 68or, 2x = 68 - 14or, 2x = 54or, x = 54 ÷ 2or, x = 27Therefore, the smaller number is 27.So, the larger number = (27 + 14) = 41

Answer:

The numbers are 27 and 41.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer 2

Answer:

The numbers would be 41 and 27

Step-by-step explanation:

It would be 41 and 27 because the number we know is 64 so if you divide that by 2 you have 34 (34+34=68) and if you then take half of 14 (14 comes from this part of the question "the larger number is 14 more than the smaller number".) (14/2=7) 7 from one side and add it to the other side you get 41+27=68

(we can also fact check this because your smaller number 27 plus 14 equal 41, then and 41 plus 27 equals 68)


Related Questions


help with steps
questions on image​

Answers

Answer:

24

Step-by-step explanation:

all odd numbers possible: 1, 3, 5, 7

__ __ __ __

there are 4 possibilities for the first blank

for the second blank there are 4-1 = 3 possibilities as one of the numbers will have been used

for the third blank there are 4-2 = 2 possibilities as 2 of the numbers have been used

for the last blank there is only 1 possibility

so the number of solutions possible is 4 x 3 x 2 x 1 = 24

help. please..
with steps.​

Answers

Answer:

  Option 2

Step-by-step explanation:

The account balance multiplier for the compound interest option is ...

  (1 +r)^t = 1.05^8 ≈ 1.477455

The account balance multiplier for the simple interest option is ...

  (1 +rt) = 1 +0.06·8 = 1.48

Jadwa should choose option 2 for this investment. It will earn about £5.09 more in interest over the 8-year period.

_____

£2000 · (1.48 -1.477455) ≈ £5.09

__

In the above formulas, r is the interest rate, and t is the number of years.

1. Which value is the closest to 0.9.997?
a.
1,000
b.
81
C.
10,000
d.
10

Answers

I think the answer would be D. 10 is closest to 0.9997

Just a little help please ☺️
Simplify

(3^8/3^5)3

3^9
3^39
3^10
3^6

Answers

[tex]\left(\dfrac{3^8}{3^5} \right)^3\\\\\\=\left(3^{8-5}\right)^3\\\\=(3^3)^3\\\\=(3)^{3\cdot 3}\\\\=3^9[/tex]

PLZZ HELP ASAP

Order these numbers from least to greatest ​

Answers

Answer:

1.4722, 2.901, 2.9, 2.91

Step-by-step explanation:

Third, first, second, fourth

Select the correct answer.
Martha manages a home improvement store and uses this function to model the number of customers that visit the store each hour on a
Saturday afternoon.
n(t) = -2.82t2 + 25.746 + 60.87
Which graph would most likely be associated with this model?

Answers

The given quadratic equation gives the parameters of the shape of the

graph of the equation.

The graph that is most likely associated with the model is; graph B

Reasons:

The given function is n(t) = -2.82·t² + 25.74·t + 60.87

by analyzing the above function, we have;

At t = 0

n(0) = -2.82 × 0² + 25.74 × 0 + 60.87 = 60.87

The x-coordinate of the maximum point is given by [tex]\displaystyle x = -\frac{b}{2 \cdot a}[/tex]

Which gives;

[tex]\displaystyle t = -\frac{25.74}{2 \times (-2.82)} \approx 4.564[/tex]

The maximum value of the function is therefore;

n(4.564) = -2.82 × 4.564² + 25.74 × 4.564 + 60.87 ≈ 119.61

The characteristics of the equation are;

Initial value of equation = 60.87

t-coordinate of the maximum point, t ≈ 4.564

Maximum value of the of the function = 119.61

By comparing with the given graphs, we have;

[tex]\begin{tabular}{c|c|c|}&Graph A&Graph B\\Initial value&100&75\\t-value at max point&7&4\\Maximum value&200&125\end{array}\right][/tex]

Therefore, the graph that will most likely be associated with the model is; graph B.

Learn more about graphs of quadratic equations here:

https://brainly.com/question/10989920

Answer:

The correct answer is graph B.

Step-by-step explanation:

I got it right on the Edmentum test.

Evaluate 4+(m-n)^4 when m =7 and n = 5

Answers

Answer:

20.

Step-by-step explanation:

Plugging m = 7 and n = 5 into the given expression:

Answer = 4 + (7 - 5)^4

= 4 + 2^4

= 4 + 16

= 20.

The graph shows how the number of hats in your collection increased since you began collecting 6 months ago. How many hats did you collect during the second month? Hat Collection A graph has time (months) on the x-axis, and total number of hats on the y-axis. Lines connect points (0, 0), (1, 3), (2, 5), (3, 8), (4, 9), (5, 10), (6, 12). hats

Answers

Answer:

Step-by-step explanation:

Two hats were collected in the second month (5-3) =2.


A rectangular garden has a length of 3x + 13 feet and a width of 3x feet. Which expression represents the
area of the garden in square feet?

Answers

Answer:

40

Step-by-step explanation:

so it is 3X3 +13 =40

Hilda adds 5 to a number, then multiplies the sun by -2. The result is 6. Write and solve an equation to find the number, x. What is the number?

Answers

Answer:

-8

Step-by-step explanation:

-2*(x+5)=6

Divide both sides by -2

x+5=-3

x=-3-5

x=-8

8 less than the sum of u and 2

Answers

Answer:

(u+2)-8

Step-by-step explanation:

sum is addition, less than is subtraction

what is the area of the square units ? W (11,2), X (11,8), Y (14,8), Z (14,2)

Answers

Answer:

18 units²

Step-by-step explanation:

Find the side lengths then multiply the length and width to find the area.

What is the square root of -7

Answers

Answer:

negative numbers don't have square roots. a square is either positive or 0, so your questions answer doesn't exist. if you want positive 7 though, 5.291502... etc

I believe………it’s 0…….

If a = 5i and b
-2 + i, then find the value of ab in fully simplified form

Answers

42. 51 $\♤ ●gd rgbdyfurudgdhsuxu

Determine if they are congruent. State how they are.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is ~ D

[tex] \textsf{Not enough information }[/tex]

The given triangles are not congruent, because they they just have all their corresponding angles equal to one another, so we need more information ~

PLEASE EXPLAIN!! I WILL GIVE BRAINLIEST TO WHOEVER EXPLAINS!

If the relationship is proportional, what is the missing value from the table?

–18

–15

15

18

Answers

the answer is 15 ........

What is the name of this?

Answers

Answer:

Circumference of a circle

2* pi* radius which is the circumference of the circle

HELP!! joels apartment building is 42 ft tall and casts a shadow of 20ft. If Joel is 6 ft tall, how long is his shadow

Answers

Step-by-step explanation:

an object and its shadow create a right-angled triangle.

2 objects and their shadows create 2 similar right-angled triangles.

that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.

so,

42 × f = 6

f = 6/42 = 1/7

the length of Joel's shadow is then

20 × f = 20 × 1/7 = 2.857142857... ft

Help!!!!!!!!!!

PLEASE!

Answers

Answer:

B

Step-by-step explanation:

The Government Soldiers didn't knew that they were Americans

Answer:

B) the government soldiers did not know the climbers were Americans when they started shooting at them.

Step-by-step explanation:

the other answers don't make sense.

There was no mention of A) a message C) not knowing how to communicate

D) trying to warn about the rebels.

By context clues, we can infer that when it was revealed that they were Americans, they realized they were on the same side and began to help them and stopped shooting at them.

Solve the inequality . Graph solution . 1/5 > d+ 4/5

Answers

Answer:

B

Step-by-step explanation:

Answer:

b. d>-3/5

Step-by-step explanation:

L.C.M=5

5×1/5>5×d+4/5×5

1>5d+4

1-4>5d

-3>5d

-3/5>5d/5

-3/5>d

If y=8x and y=96 what does x equal

Answers

Answer:

X = 12

Step-by-step explanation:

8(12) = 96

Y= 96
Y= 8x
x = 96/8
x= 12

an equivalent expression to x-2y+3

Answers

Something x -2xsomething+3

Answer:

[tex]y=\frac{-x-3}{-2}[/tex]

Step-by-step explanation:

1. The first thing you should do is put it equal to 0:

   [tex]x-2y+3=0[/tex]

2. You want to get y by itself so the next thing you do is subtract 3 to the other side because it is being added right now. It should look like this:

[tex]x-2y+3=0[/tex]

            -3    -3

 [tex]x-2y=-3[/tex]

3. Since x is also being added on the left side of the equation you want to get x to the other side so you do the opposite of addition (subtraction) and subract the x to the other side of the equation:

 [tex]x-2y=-3[/tex]

-x              -x

[tex]-2y=-x-3[/tex]

4. The next thing you want to do is get rid of that -2. Right now it is being multiplied by the y and the opposite of multiplication is division, so you are going to want to divide -2 by both sides of the equation.

[tex]\frac{-2y}{-2} =\frac{-x-3}{-2}[/tex]

5. The -2's cancel out and the right side of the equation cannot be simplified anymore which makes the new or equivalent equation:

[tex]y=\frac{-x-3}{-2}[/tex]

help me please i cant math

Answers

Answer:

  (b)  3 +x = 12

Step-by-step explanation:

To solve these for x, you would ...

  a) divide by 3

  b) subtract 3

  c) add 3

  d) multiply by 3

The subtraction property of equality says you can subtract the same value from both sides of an equation without affecting the value of the variable(s). It is applicable when you need to subtract a quantity in order to get the variable by itself.

Solving 3 +x = 12 would make use of the Subtraction Property.

Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 â€"" 22x2 â€"" 9x 33. Her work is shown. Step 1: (6x3 â€"" 22x2) â€"" (9x 33) Step 2: 2x2(3x â€"" 11) â€"" 3(3x 11) Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next? Marisol should realize that her work shows that the polynomial is prime. Marisol should go back and group the terms in Step 1 as (6x3 â€"" 22x2) â€"" (9x â€"" 33). Marisol should go back and group the terms in Step 1 as (6x3 â€"" 22x2) (9x â€"" 33). Marisol should refactor the expression in Step 2 as 2x2(3x 11) â€"" 3(3x 11).

Answers

The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33) and it can be determined by using the factorization method.

Given that,

Marisol grouped the terms and factored the GCF out of the groups of the polynomial [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].

We have to find,

To factor out the common GCF out of the group, the following steps should have been taken by Marisol.

According to the question,

Marisol grouped the terms and factored the GCF out of the groups of the,

Polynomial; [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].

To factor out the common GCF out of the group, the following steps should have been taken by Marisol following all the steps given below.

Step1: Regroup into parts using parenthesis and taking the negative sign common,

        [tex]\rm= 6x^3- 22x^2- 9x + 33\\\\= (6x^3-22x^2) - (9x-33)[/tex]

Step2; Firstly find out the common terms and rewrite the equation,

        [tex]= (6x^3-22x^2) - (9x-33)\\\\= 2x^2(3x^2-11) -3(3x-11)\\\\= (2x^2-3) (3x-11)[/tex]

Hence, The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33).

For more details about Polynomial refer to the link given below.

https://brainly.com/question/25914835    

[1(23x5)]/2
Solve this questionssss
sdfghfght

Answers

First 23*5 = 115 then 1*115=115. 115/2 = 57.5

the EM wave emitted by the sun and responsible for heating the Earths atmosphere due to green house effect is

Answers

The answer is infrared radiation.

You have $6.72 to buy apples for an apple crisp recipe. Apples cost $0.96 each. Write and solve an inequality that represents the number of apples you can buy

Answers

$.96a=$6.72 I believe

Someone help me please

Answers

Answer:

Step-by-step explanation:

any minus temperature is < 7oC

0 is < 7oC

1 ... 6 is < 7oC

What is the domain of the function represented by the graph

Answers

Answer:

all real numbers i think

Step-by-step explanation:

The 1,600-meter race in the Olympics is very close to 1 mile long. How many kilometers is 1,600 meters?

Answers

1 kilometre is 1000 metres. So 1600 metres will be equal to 1.6 kilometres
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