The sum of two numbers is 97. The larger number is three less than four times the smaller number. Find the numbers.

Answers

Answer 1

Answer:

20 and 77

Step-by-step explanation:

4x-3+x=97

5x-3=97

5x=97+3

5x=100

x=20

Have a NICE day

Answer 2

The larger number is 77 and the smaller number is 20.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The sum of two numbers is 97.

Assuming the numbers to be a and b.

∴ a + b = 97...(i)

Also given, The larger number is three less than four times the smaller number,

Assuming the larger number to be a, therefore a = 4b - 3...(ii)

Substituting the value of a in eqn(i) we get,

4b - 3 + b = 97.

5b = 100.

b = 20, hence a = 77.

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Related Questions

Rewrite the following equation in slope intercept form Y+10= 1/4 (x+8)

Answers

Answer:

y=1/4x-8

Step-by-step explanation:

pemdas just move y to the side

What is another name for ray AE?

Answers

Answer:

11. Another name for segment [tex]\overline {BD}[/tex] is [tex]\overline {DB}[/tex]

12. Another name for segment [tex]\overline {AC}[/tex] is [tex]\overline {CA}[/tex]

13. Another name for ray [tex]\underset{AE}{\rightarrow} {}[/tex] is [tex]\underset{EC}{\rightarrow} {}[/tex]

14. The rays that have E as endpoint are [tex]\underset{EA}{\rightarrow} {}[/tex], [tex]\underset{EB}{\rightarrow} {}[/tex], [tex]\underset{EC}{\rightarrow} {}[/tex], and [tex]\underset{ED}{\rightarrow} {}[/tex]

15. Two pairs of opposite rays are, [tex]\underset{EA}{\rightarrow} {}[/tex], [tex]\underset{EC}{\rightarrow} {}[/tex] and  [tex]\underset{EB}{\rightarrow} {}[/tex], [tex]\underset{ED}{\rightarrow} {}[/tex]

Step-by-step explanation:

The answer is

11. Another name for segment BD is DB

12. Another name for segment AC is CA

13. Another name for ray AE is EC

14. The rays that have E as an endpoint are EA, EB, EC, and ED

15. Two pairs of opposite rays are, EA, EC, and EB, ED.

How are lines and angles related?

Taken into consideration as a breadth less length by means of Euclid, strains shape the idea of Euclidean geometry. While two rays (part of an immediate line) intersect each other within the equal aircraft, they form an perspective. The point of intersection is referred to as a vertex.

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PLEASE HELP Which of the following diagrams shows a line that is tangent to the circle?

Answers

THE ANSWER IS ddddddddd

The solution is,  : The figure shows a line tangent to the circle is, 4th figure.

What is a tangent?

As we know that, a tangent can be mentioned as a line segment to a circle which intersect the circle at exactly one point and that point is a tangency point.

here, we have,

the given figures,

we have to find the line  that is tangent to the circle.

we know that,

a tangent is a line segment to a circle which intersect the circle at exactly one point and that point is a tangency point.

And the radius from the center of the circle to the point of tangent is always perpendicular to the tangent line.

now, from this figures we get,

From this we conclude that, 4th figure is a right angled triangle that means the radius from the center of the circle to the point of tangent is always perpendicular to the tangent line.

Hence, The figure shows a line tangent to the circle is, 4th figure.

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The endpoints of CD are C (4,6) and D(-1, -1). Find the coordinates of the midpoint M.
Coordinates of midpoint M: OO
6
HELP ME PLEASE 20 POINTS
HELP

Answers

Answer:

The answer is

[tex]( \frac{3}{2} \: , \frac{5}{2} ) \: \: or \: \: (1.5 \: \: , \: \: 2.5)[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C (4,6) and D(-1, -1)

The coordinates of the midpoint is

[tex]M = ( \frac{4 - 1}{2} , \: \frac{6 - 1}{2} )[/tex]

We have the final answer as

[tex]( \frac{3}{2} \: , \frac{5}{2} ) \: \: or \: \: (1.5 \: \: , \: \: 2.5)[/tex]

Hope this helps you

What is the purpose of a reference point? to provide a standard system of measurement to establish a point from which to measure future distance, or if the movement has occurred to determine the speed of an object in miles per hour to provide a standard form which to evaluate variables in an experiment

Answers

Answer:

to establish a point from which to measure future distance

Step-by-step explanation:

to establish a point is to measure distance

which of the following is a irrational number? square root of 41. negative square root of 9. negative square root of 25. negative square root of 64

Answers

The correct answer is the square root of 29, because it goes on forever and has no end.

Need help asap ALGEBRA 2
given m||n find the value of x​

Answers

Answer:

x=15

Step-by-step explanation:

These angles are corresponding angles and with parallel lines corresponding angles are equal

9x+19 = 10x+4

Subtract 9x from each side

9x+19 -9x = 10x+4-9x

19 = x+4

Subtract 9 from each side

19-4 =x

15=x

[tex]\huge\underline{\underline{\mathfrak{\red{A}\green{n}\pink{s}\orange{w}\blue{e}{r}}}}[/tex]

x = 15




1. You have one-quarter cup of orange juice. Do you have enough to make the recipe? Explain.

2. You have 1/8 ounce of whole wheat grains. How many more ounces do you need to make the recipe?

Answers

Answer:

ehhfosfgdfukgjs,vbhsgkrdzca

Step-by-step explanation:

Robert's monthly bank statement showed the following deposits and withdrawals: -−$113.24, $98.07, -−$18.74, -−$98.17, $37.13 If Robert's balance in the account was $110.31 at the beginning of the month, what was the account balance at the end of the month? Answer: \$$

Answers

Answer:

The correct answer is −94.95

One of two complementary angles is 16 degrees less than its complement. Find the
measure of both angles.

Answers

Answer:

106 and 74 degrees.

Step-by-step explanation:

Since 90 + 90 = 180, if you just add 16 to 90 you will get 106. Then you can subtract 106 from 180, which gives you 74 degrees.

what are ratios equivalent to 48:16

Answers

Answer:

24:8   12:4

Step-by-step explanation:

techinaclly there are infinite ratios equivelent to that ratio but here is a couple

Answer:

[tex] \frac{48}{16} [/tex]

[tex] \frac{48}{16} \div \frac{16}{16} [/tex]

[tex] \frac{3}{1} [/tex]

3 : 1

Please help me!!!!!!!

Answers

Answer:

Option C

Step-by-step explanation:

[tex]f(x) = 40( \frac{1}{4} )^{x} [/tex]

what is the largset prime number less that 40

Answers

Answer:

37

Step-by-step explanation:

37 can only be multiplied by 1 and 37. Because prime numbers cannot be multiplied by any whole number except 1 and itself, the answer must be 37.

Answer:

37

Step-by-step explanation:

37 can only be divided by 37 and 1, nothing else.

38 is divisible by 2 and 19.

39 is divisible by 3 and 13.

Steve weighs 18 more pounds than Ryan. If their weight totals 144 pounds, how much does Ryan weigh?

Answers

Answer:

Shouldn't the answer be 126?

Step-by-step explanation:

I'm pretty sure you just have to subtract 18 from 144.

X = Ryan’s weight
X+ 18 = Steve’s weight

X + X + 18 = 144
2X = 144/18
2X/2 = 126/2
X = 63

Ryan weighs 63 lbs
Steve weighs 81 lbs

She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends.

Answers

Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50.

We weren't provided with questions to answer. But, I will assume that we need to determine the number of units to be sold to break-even.

To calculate the break-even point in units and dollars, we need to use the following formulas:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 200 / (13.5 - 7.8)

Break-even point in units= 35 units

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 200 / (5.7/13.5)

Break-even point (dollars)= $473.68

If you want to reach a certain profit:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio

8 - 2(3х – 1) = x+ 9?

Answers

Answer:

x=1/7 or 0.14

Step-by-step explanation:

first you distribute: 8-6x+2=x+9

next combine like terms (8 and 2): -6x+10=x+9

then subtract 1x from both sides: -7x+10=9

then subtract 10 from both sides: -7x=-1

divide both sides by -7: x=1/7 or 0.14

using the approximation 3.14 for π what is the radius of a circle with circumference 40.8?

Answers

Answer:

6.50

Step-by-step explanation:

C = 2πr

40.8 = 2(3.14)r

40.8 = 6.28r

r = 6.50

Answer:

it would be 6.49

Step-by-step explanation:

Circumference=2πr but in this case it is 40.8=2(3.14)r

So you would multiply 2 times 3.14 so now you are at 40.8=6.28r

Then you divide 40.8 by 6.28 to isolate the r and it would equal to approximately 6.49 for r or the radius.

Which of the following inequalities are true? Select all of the correct
comparisons.
477 > 8
0
- 4.5 <
3
03 10 < 9
< 1.2

Answers

477>80 is correct

-4.5<3 this one is also correct

Answer:

477>80

-4.5<3

Step-by-step explanation:

what is 16÷8+5×2 explain steps, evaluate the expression​

Answers

16/8 + 5 x 2

to solve it we must solve the multiplication or division first

lets solve division first

16/8=2

=2 + 5 x 2

then we solve the multiplication

5 x 2=10

=2 + 10

now its simpler so

2+10=12

Answer: 12

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{12}}}}}[/tex]

Step-by-step explanation:

Use BODMAS rule :

Bracket , Of , Division , Multiplication , Addition , Subtraction

[tex] \sf{16 \div 8 + 5 \times 2}[/tex]

Divide 16 by 8

[tex] \dashrightarrow{ \sf{2 + 5 \times 2}}[/tex]

Multiply the numbers : 5 and 2

[tex] \dashrightarrow{ \sf{2 + 10}}[/tex]

Add the numbers : 2 and 10

[tex] \dashrightarrow{ \sf{12}}[/tex]

Hope I helped!

Best regards! :D

Solve for h:
A = 2(pi)rh + 2(pi)r^2

Answers

Answer:

6.283185hr+6.283185r2

Step-by-step explanation:

Expand (2x-5y)⁷ and find fourth form​

Answers

Step-by-step explanation:

By binomial theorem,

T(r+1) = nCr * a^(r+1) * b^r

Term 4 = 7C3 * (2x)^4 * (-5y)^3 = 35 * (16x^4) * (-125y^3) = -70000x^4y^3.

Divide:
8.9) 810.434

Answers

Answer:

0.01098177026

Explanation:

8.9/810.434 = 0.01098177026

Jenny has 2.40 deducted from her monthly allowance every time she forgets a chore

Answers

Answer:

Whatever her allowance is - 2.40 every time she skips a chore would be your answer.

Step-by-step explanation:

Deducted- Taken away/subtracted

options:
A. Includes
B. Does not include​

Answers

Answer:

The answer is A

Step-by-step explanation:

Just trust me

the answer is a hope this helps

I need help with my math homework

Answers

Answer:

what type of math is it?

Step-by-step explanation:

What is your question? I think I would be able to help out

Find the degree measure of each angle.
D
E
73° 39°
B
ZEBF
ZEBA
ZDBE
ZABF
ABC

Answers

Answer:

in screenshot

Step-by-step explanation:

Expand & simplify ( x − 1 ) ( x − 1 )

Answers

Answer:

x²-2x+1

Step-by-step explanation:

(x-1) (x-1)

(x-1)²

(x)²-2(x)(1)+(1)²

x²-2x+1

The sum of two numbers, x and y is 14. Twice the first number x and triple the second number y is 63. Find x and y.

Answers

Answer:

x = -21, y = 35.

Step-by-step explanation:

Use the elimination method:

x + y = 14

2x + 3y = 63

Multiply the first equation by -2:

-2x - 2y = -28

Add this to the second equation to eliminate x:

y = 35

So x  + 35 = 14

x = 14 - 35

x = -21.

A college student is moving into a campus dormitory. The student rents a moving truck for $19.95 plus $.99 per mile. Before returning the truck, the students fills the tank with gasoline, which costs $65.32. The total cost is $144.67 . How many miles did the student drive the truck? PLZ HURRY!!!

Answers

Rent = 19.95
Gasoline = 65.32
Total cost = 144.67

144.67 - (19.95 + 65.32)
144.67 - 85.27
59.40 / .99
60 miles

How can I write Five less than the quotient of a number and 3 is -7 in algabreaic expression

Answers

Answer:

[tex](n\div{3})-5={-7}[/tex]

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