The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116.

Answers

Answer 1

Answer:

10 and 42

Step-by-step explanation:

The difficulty with word problems is translating them into math.

Let's do that

---------------------

The sum of a number and two times a smaller number is 62.

let's call the bigger number b, and the smaller number s

b + 2s = 62

Three times the bigger number exceeds the smaller number by 116

3b = s + 116

-----------------------

Now manipulate one of the equations to isolate the variable

3b = s + 116

Subtract 116 from both sides

3b - 116 = s

substitute for s = 3b - 116 in

b + 2s = 62

b + 2(3b - 116) = 62

Distribute

b + 6b - 232 = 62

combine like terms

7b = 294

Divide both sides by 7

b = 42

to find s plug in b = 42 into

b + 2s = 62

42 + 2s = 62

subtract 42 from both side

2s = 20

divide both sides by 2

s = 10


Related Questions

Match each power of a power expression with its simplified expression

Answers

(4)-

= 4⁰×-⁹

= 4⁰

(-4)²

= -4⁹ײ

= -4¹⁸

=( -4)¹⁸

(4-³)-³

= 4-³ × -³

= 4⁹

(4)-³

= 4⁶ × -³

= 4-¹⁸

= 1/4¹⁸

Jacob buys 8 copies of a book for presents for friends. It costs her a total of $119.60. Write an equation that can be used to find out how much each book, b, was sold for.

Answers

Answer:

8b=119.60

Step-by-step explanation:

8b=119.60

B=14.95

Help pls pls pls pls

Answers

Answer:

C

Step-by-step explanation:

Answer:

option c is correct

Step-by-step explanation:

y = 2x +5

5 = 2*0 +5

5 = 0 +5

5=5

y = 2x +5

9 = 2*2 + 5

=9 = 4 +5

9=9

y = 2x +5

13 = 2*4 +5

13 = 8 + 5

13 = 13

therefore option c is correct because it satisfies all the elements of x and y of the given function when we substitute the values.

What is the perimeter of the parallelogram???

Answers

answer: 22

explanation: the easiest way is to separate one of the diagonals into a triangle and use the pythagorean theorem.
a^2 + b^2 = c^2
4^2 + 3^3 = c^2
16 + 9 = c^2
25 = c^2
5 = c
you now know that both of the diagonals have a length of 5.
by counting the units on the two straight, you know that their length is 6.
6 + 6 + 5 + 5 = 22

What is the value of x?
45°
m
(2x-5)
n

Answers

Answer:

x = 70

Step-by-step explanation:

The two angles are same side interior angles and same side interior angles add to 180

45+ (2x-5) = 180

Combine like terms

2x +40 = 180

Subtract 40 from each side

2x+40-40 =180-40

2x =140

Divide by 2

2x/2 = 140/2

x = 70

Answer:

x=70

Step-by-step explanation:

hope it helped! :)

have a nice day

(Please help this is due by Tuesday)

Answers

Answer:

A

Step-by-step explanation:

20
Select the correct pairs of triangles.
The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
Triangle 1: 55°, 45°
Triangle 2: 55°, 80°
Triangle 1: 103°, 32
Triangle 2: 103, 25°
Triangle 1: 73°, 47°
Triangle 2: 47°, 30°
Triangle 1: 105°, 23°
Triangle 2: 52°, 105
Triangle 1: 99, 41°
Triangle 2: 40°, 999
Reset
Next

Answers

Answer:

Your answer would be the third one

Step-by-step explanation:

Triangle 1 - 73, 45

Triangle 2 - 47, 30

Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.

Option (4) is correct.

What is a Triangle?

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data:

We are given two angles for each pair of triangles, and we have to find out which of the pair of triangles are similar.

For any two triangles to be similar, it must have 2 angles which are having the same measure.

For, Triangle 1: 55°, 45° and Triangle 2: 55°, 80°

Only one angle is same, hence not similar.

Triangle 1: 103°, 32° and Triangle 2: 103°, 25°

Only one angle is same, hence not similar.

Triangle 1: 73°, 47° and Triangle 2: 47°, 30°

Only one angle is same, hence not similar.

Triangle 1: 105°, 23° and Triangle 2: 52°, 105

By using angle sum property in Triangle 1 the remaining angles is:

= 180 - (105 + 23) = 52°

By using angle sum property in Triangle 2 the remaining angles is:

= 180 - (52 + 105) = 23°

2 angles are same, hence similar.

Triangle 1: 99, 41° and Triangle 2: 40°, 99°

Only one angle is same, hence not similar.

Hence, Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.

To learn more on Triangle, click:

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ded the colour of each car going past his house one morning.
e results are shown below.
blue red red silver silver silver silver silver blue silver blue blue black red
red silver silver red black red
complete the table for Jay's results.
Colour
Frequency
blue
red
silver
black
Tally
4 4
= b
till
= 8
2
nich colour of car did Jay record most often?

Answers

Answer:

The correct answer is -

1. An image with correct tally marks and frequency values is attached.

2. Silver

Step-by-step explanation:

The given data of different color cars that going past his house one morning is given in 20 times. The frequency of each car is -

Blue cars - 4 times out of 20

red - 6 times out of 20

silver - 8 times out of 20

black - 2 times out of 20

The complete table is attached as an image -

2. the maximum frequency of the car is the silver car so Jay must have recorded the silver car most often.

which is the correct classification square root of 32?

Answers

Answer:

5.65

Step-by-step explanation:

But if you need to round it would be 6.

Hope this helps!

Good Luck!

(e+8)°
(3e-4°
Need help asap thx

Answers

Answer:

e=44°

Step-by-step explanation:

3e-4+e+8 = 180 degree (being linear pair)

4e+4=180

4e=180-4

4e=176

e=176/4

e=44 degree

If people send links report them

The cost of a computer processor is directly proportional to its speed.
A 4GHz processor costs £400.

Find the cost of a 6GHz processor

Answers

Answer:

Step-by-step explanation:

If cost is directly proportional to speed, then the equation for this is

£ = ks, where k is the constant of proportionality. We need to solve for this first.

400 = k4 so

100 = k. Now we will use that k value in the next equation to find the cost of a 6GHz processor:

£ = (100)(6) so

£ = 600

Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone. What is Jalen’s error?
The height does not lie on the base because it is perpendicular to the base.
The radius does not lie on the base because it contains the center of the base.
The diameter does not lie on the base because it contains a radius of the circle.
The base does not contain the height, the radius, or the diameter because it is a circle.

Answers

Answer:

A, or "The height does not lie on the base because it's perpendicular to the base."

Step-by-step explanation:

EDGE 2021

Option A is correct, the height does not lie on the base because it is perpendicular to the base.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone.

We have to find the Jalen’s error.

As we know that height does not lies on the base because it is perpendicular to the base.

The Jalens error is that height does not lie on the base because it is perpendicular to the base is a error statement.

Hence, option A is correct, the height does not lie on the base because it is perpendicular to the base.

To learn more on Three dimensional figure click:

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What is the slope of the line in the graph?

Answers

Answer:

The slope of the line is 1

Step-by-step explanation:

The slop is 1 duee to my thinkiny

Which linear inequality is represented by the graph?
y<3x+2
y>3x+2
y<1/3x+2
y>1/3x+2​

Answers

Answer:

Y < 3x+2

Step-by-step explanation:

Alright so if you ever get stuck on something like this, Go on demos and put in (0,2) and then add in (-3,-7) and then add in the other answers to see if they match.

So your answer is:

y>3x+2

B
20°
?
A
4.
С
( I need an answer )

Answers

Answer:

10.9899097

Step-by-step explanation:

Trigonometry.

Tan = opposite/adjacent

Adjacent = Opposite / Tan(20)

Use an algebraic approach to solve the problem.

If a ring costs a jeweler $1500, at what price should it be sold to yield a profit of 50% on the selling price?

Answers

Answer:

$2250

Step-by-step explanation:

selling the ring at 100% of $1500 would equal 1500 and yield no profit

therefore, you must sell the ring at 150% (where 100% covers the cost and the additional 50% provides the profit) of 1500

1.5 x 1500 = 2250

Please help I will give brainliest to whoever answer correct first

Answers

The correct answer is y=1/3x-3

PLEASE HELP QUICK
graph and show work and i will give 30 points

Answers

The equation is
4x-2y=-2
4x=2y-2
4x+2=2y
2x+1=y

If valorie made five times more baskets than her brother Vance

But if she made 70 baskets how many baskets did Vance make

Answers

Answer:

I say its 14 because it says  times more" so u would divide 70 by 5 but im debating between 14 and 65

Step-by-step explanation:

The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.

Answers

Answer:

C = 4 pi ft

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

Solving for r

4 pi = pi r^2

Dividing each side by pi

4 = r^2

Taking the square root of each side

sqrt(4) = sqrt(r^2)

2 = r

Now we can find the circumference

C = 2 * pi *r

C = 2*pi*2

C = 4 pi ft

Which of the following expressions is equivalent to the one shown below? (4^3)5 A. 49 B. 42 C. 48 O D. 415​

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{(4^3)(5)}[/tex]

[tex]\mathsf{4^3}[/tex]

[tex]\mathsf{= 4 \times 4\times 4}[/tex]

[tex]\mathsf{= 16 \times 4}[/tex]

[tex]\mathsf{= \bf 64}[/tex]

[tex]\mathsf{64(5)}[/tex]

[tex]\mathsf{= \bf 320}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 320}\huge\textsf{ (NONE of the ABOVE)}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

the person below isn't giving the right answer choice did you ever get the answer for this question please comment me the answer cuz they clearly don't see the answer choice

aasaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

mjmdsfkjdsfjdfdjkfhdkfdkfdjhkjhfk

Step-by-step explanation:

dfjdbfjfshdgdsjhdh

Answer:

aasaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

hee haw i beat u i put more a's in my answer

Can i plz get some help been stuck for while
What is the volume of the shape shown

Answers

Answer:

Yea sure its 102.5meters squared

Dan rolls a fair dice and flips a fair coin what is the probability of obtaining an even number and a head

Answers

Half the numbers on the die are even so you have a 1/2 probability of getting an even number. There is also. 1/2 probability of getting heads on a coin flip.

To find the probability of both happening, multiply the probability of each together:

1/2 x 1/2 = 1/4

The probability of getting an even number and heads is 1/4

The answer is 1/4

Dan rolls a fair dice and flips a fair coin what is the probability of obtaining an even number and a head

A car can travel 76 miles on 4 gallons of gasoline. How far can it travel on 8
gallons?

Answers

Answer:

152 gallons

Step-by-step explanation:

76÷4=19

19x8=152

Answer:

152 miles

Step-by-step explanation:

76 x 2 = 152


What is the coefficient of the expression:
3n+4

Answers

Answer:

The coefficient is 3, the number right before the variable.

Answer:

3

Step-by-step explanation:

A total of h males and (h - 2) females visit the museum on a certain day. If total of visitors for that day is 80, what is the value of h? A. 38 С. 40 B. 39 D. 41​

Answers

Given:

Number of males = h

Number of females = (h-2)

Total number of visitors = 80

To find:

The value of h.

Solution:

We have,

Number of males = h

Number of females = (h-2)

So, the total number of visitors is:

[tex]Total=h+(h-2)[/tex]

[tex]Total=2h-2[/tex]

It is given that the total number of visitors is 80. So,

[tex]2h-2=80[/tex]

[tex]2h=80+2[/tex]

[tex]2h=82[/tex]

Divide both sides by 2.

[tex]h=\dfrac{82}{2}[/tex]

[tex]h=41[/tex]

Therefore, the correct option is D.

what is an expression showing the sum of 5 less than the number k

Answers

Answer:

 5<k  

Step-by-step explanation:

Answer:

k-5

Step-by-step explanation:

So, lets go over each part of the sentence, and turn it into a expression.

So it first says sum. This means addition, so we can start our expression with:

+

Next is says of 5. So we know its the addition of 5:

+5

Next it says less than. So now we know less than, which is subtraction. So we can swap the addition sign for a - sign:

-5

Finally it says the number k. So we know that the subtracted value is k:

k-5

So this is your expression!

Hope this helps!

Area of shaded circle
#17 and #18 with explanations pleaseee​

Answers

ummmmm sorry but good luck

BERE
Which function represents exponential decay?
o
f(x) = {
f(x) = (-)
o pux) = 4(-3)
Of(x) = 4

Answers

Step-by-step explanation:

Sorry I don't kNkw the amswer

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