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The sum of two numbers is 51. The smaller number is 17 less than the larger number. What are the numbers?
Larger number
smaller number
Answer:
smaller number = 17, larger number = 34
Step-by-step explanation:
Let x be the smaller number and y be the larger nuber
x + y = 51 --(1)
y - 17 = x --(2)
Sub (2) into (1)
y - 17 + y = 51
y = 34
Put y = 34 into (2)
34 - 17 = x
x = 17
Ans: smaller number = 17, larger number = 34
Answer:
Let get large number is x and small number as y.
sum of two numbers is 51.(small number + large number = 51)
ie. x +y =51 --------(1)
The smaller number is 17 less than the larger number.
x-y = 17 ------------(2)
(1) +(2);
(x + y ) + (x - y) = 51 +17
2x = 68
x=34
Substituted for (1);
x + y =51
34 + y =51
y= 51 -34
y= 17
Step-by-step explanation:
Given f(x) = 2x ^ 2 + kx - 20 and the remainder when f(x) is divided by x - 10 is 90, then what is the value of k?
Answer:
k = -9
Step-by-step explanation:
f(x) = 2x²+kx-20
From remainder theorem,
x = 10 and f(10) = 90
f(10) = 90
Subsitute the value of x into the expression above.
f(10) = 2(10²)+10k-20 = 90
200+10k-20 = 90
Solve for k by collecting like terms
10 k = 90+20-200
10k = 110-200
10k = -90
k = -90/10
k = -9.
Hence the value of the constant is -9
Pls help me solve 10k - 90 =m -10 *
Answer:
M = 10k - 80 and k = m/10 + 80
Step-by-step explanation:
You travel 30 miles per hour for 4.2
hours. How far did you travel?
Answer:
126 miles
Step-by-step explanation:
If I remember right, you'll have to multiply 30 by 4.2 and get 126 miles since each hour is 30 miles.
In Triangle JKL, K is 3 times the measure of J, and L is 8 times the measure of J. Find the measure of each angle in Triangle JKL.
Answer: The measure of angle J = 15°, measure of angle K =45° and the measure of angle J = 120°.
Step-by-step explanation:
Let the measure of angle J be x.
Then, the measure of angle K will be 3x
and the measure of angle L = 8x
Since the sum of all angles of a triangle is 180 degrees.
Then,
angle J + angle K + angle L = 180 degrees
⇒ x+3x+8x =180
⇒ 12x = 180
⇒x = 15 [divide both sides by 12]
Hence, the measure of angle J = 15°, measure of angle K = 3(15) =45° and the measure of angle J = 8 (15) = 120°.
i.e. the measure of angle J = 15°, measure of angle K =45° and the measure of angle J = 120°.
Which of the following is the solution to IX-131< 18?
Inequalities
Answer:
is there supposed to be a pic attached I need more info
whats the area of this figure?
Answer:
area = 396 ft²
Step-by-step explanation:
area = (12 x 19) +(19 x 6) + (9 x 6) = 396 ft²
Two cars are side by side. One is 3.9 meters long. The other is 6% shorter. How long is the second car?
Answer:
3.66meters long
Step-by-step explanation:
since it's 6% shorter you calculate 3.9 times .94(which is basically 94 percent) which gives you 3.66 meters long
2) Jill is a pharmaceutical sales-person for Rx 'R
Us. She is paid a monthly salary of $4800
plus 5°. commission on sales. How much yearly
sales does Jill have to generate in order for her
yearly pay to be $50.000?
A) $240.000
B) $250.000
C) $260,000
D) $270,000
E) $280,000
A train is traveling at a constant speed in miles per hour. Hours (x) Miles (y) Which equation models the data in the table? 1 20 2 100 O y=20x 3 180 O y = x + 80 4 260 5 340 Oy=60x – 80 O y = = 80x — 60
Given:
A train is traveling at a constant speed in miles per hour.
The table of value is:
Hours (x) Miles (y)
1 20
2 100
3 180
4 260
5 340
To find:
The equation for the given data table.
Solution:
It is given that the train is traveling at a constant speed in miles per hour. So, it is a linear relationship.
Choose any two point from the given table of value. Let the two points are (1,20) and (2,100). So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-20=\dfrac{100-20}{2-1}(x-1)[/tex]
[tex]y-20=\dfrac{80}{1}(x-1)[/tex]
[tex]y-20=80(x-1)[/tex]
Add 20 on both sides.
[tex]y=80(x-1)+20[/tex]
[tex]y=80x-80+20[/tex]
[tex]y=80x-60[/tex]
Therefore, the correct option is D.
im spending all my points for this smh
Answer:
Ask a tutor girl under it you will see ask a tutor so click that
100 PTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
The width of a rectangular field is represented by x. The length of the rectangle is 5 more feet than the width. The total area of the field is 24 square inches. Write an equation to represent the area of the rectangle.
Answer:
24 ÷ x = 5
i hope this helps :)
Answer:
It is 24 ÷ x = 5
Step-by-step explanation:
Sarah is designing a flower garden and has allowed herself $300 for expense. she finds flowers for $6 each and bushes for 10$ each which of the flowing combination of flowers and bushes could Sarah buy considering her budget.
13 flowers and 23 bushes
16 flowers and 21 bushes
8 flowers 26 bushes
25 flowers 14 bushes
Answer:
25 flowers 14 bushes
Step-by-step explanation:
13f/23b = 308
16f/21b = 306
8f/260 = 308
25 · 6 = 150
14 · 10 = 140
140+150 = $290
Sarah can buy 25 flowers and 14 bushes considering her budget.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Let x be the number of flowers and y be the number of bushes.
Total expense = $300
Cost for each flower = $6
Cost for each bush = $10
We get an equation,
6x + 10y = 300
(a) 13 flowers and 23 bushes
Total cost = (6 × 13) + (10 × 23) = $308
(b) 16 flowers and 21 bushes
Total cost = (6 × 16) + (10 × 21) = $306
(c) 8 flowers 26 bushes
Total cost = (6 × 8) + (10 × 26) = $308
(d) 25 flowers 14 bushes
Total cost = (6 × 25) + (10 × 14) = $290
Hence the possible combination is 25 flowers and 14 bushes.
Learn more about Equations here :
https://brainly.com/question/29657988
#SPJ2
Evan jarred 10 liters of jam after 2 days. How many days does Evan need to spend making jam if he wants to jar 15 liters of jam in all? Assume the relationship is directly proportional.
Find liters per day by dividing the amount made by the number of days :
10 liters / 2 days = 5 liters per day.
Find how much more he needs to make by subtracting the amount made from the total he wants:
15 liters - 10 liters = 5 liters more needed.
Divide amount needed by time:
5/5 = 1
He will need to spend 1 more day, which means he will spend a total of 3 days to make 15 liters.
One year, the population of a city was 335,000. Several years later it was 314,900. Find the percent decrease.
Mr. Moss had 2 gallons of paint. He painted 3 doors. How many benches can he paint with the paint that is left? Show your work.
Answer:
uh depends on how much paint he used for the doors and how much paint he needs for the benches
Step-by-step explanation:
Plz, answer this question plz!
Answer:
the second option im pretty sure
Answer:
4/48. I don't know for sure, but I think B is the correct answer
what do u do when your teacher comments this in a assighnment?."I can't accept this. It is clear that you copied and pasted from the internet. I will give you another chance to do it correctly - using your own thoughts, not the internet." T_T my teacher found out ......:((
Answer:
Deny. Deny. Deny.
Step-by-step explanation:
Say how crazy the similarities are but you genuinely wrote what came to mind and you did not even look up the topic online. If that fails just grovel and come up with a sob story so they are no so harsh. Hope this helps <3
PLEASE HELPPPPP MEEEEE !!!!
It cost $730 to put on a school play . How many tickets must be sold at $6 a piece in order to make a profit
Answer:
122
Step-by-step explanation:
if you do 730 divided by 6 the answer is 121.6666667 so you round it up to 122
would the answer be 36?
Answer:
No, it would be 72
Step-by-step explanation:
In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)
Pls give brainliest
A trapezoid is broken into a triangle and rectangle. The rectangle has a base of 10 centimeters and a height of 12 centimeters. The triangle has a base of 4 centimeters and a height of 12 centimeters.
A trapezoid was broken into a triangle and rectangle.
The area of the rectangle is _____cm2.
The area of the triangle is ______cm2.
The area of the trapezoid is ______cm2.
Answer:
area of rectangle = 120 cm²
area of triangle = 24 cm²
area of trapezoid = 144 cm²
Step-by-step explanation:
12 * 10 = 120
12 * 4 = 48
48 / 2
add the triangle and rectangle area together
28
The members of a tennis team have a goal of raising at least $500 for new equipment. They have already raised $275.
The team members plan to raise more money by washing cars. They will charge $5 for each car they wash.
Let c represent the number of cars the team members will wash. Which of the following could be used to find the least
number of cars they must wash to reach their goal?
A 5c+275 > 500
B 5c + 275 > 500
c) 5c - 275 > 500
D 50 - 275 > 500
Answer:
A 5c+ 275 > 500
Step-by-step explanation:
what is the degree of angle YQR
Answer: Angle is 3
Step-by-step explanation:
16x - 27 = 5x + 6
-5x -5x
______________
11x - 27 = 6
+ 27 +27
___________
11x = 33
__ __
11 11
x = 3
PLEASE HELP:,). The difference between the two numbers is 12. If you increase the first number by 2 and decrease the second number by 10, the first number is 9 times larger than the second. Find these numbers.
Answer:
25 and 13
Step-by-step explanation:
25 - 13 = 12
25 + 2 = 27
13 -10 =3
27 is 9 times larger than 3
Rewrite the function f (x) = 3 (x - 1)^2 – 2 in the form f(x) = ax^2+bx+c
Answer: 3x^2-6x+1
Step-by-step explanation:
In this question, you just have to foil out the expression and multiply things out to get the results. Rewrite it if you need so you can caluate it like what I did in this picture.
A school sold tickets to a musical,
The school received $5.25 per ticket sold.
Write an equation that represents the relationship between the number of tickets sold and the tota
Let t = the total amount of money collected and n = number of tickets sold.
Determine the measure of ∠DFB.
Question 6 options:
1) 67°
2) 69°
3) 68°
4) 136°
Answer:
136
Step-by-step explanation:
Just took the test and got it right good luck with the rest
How do I solve and show work?
Answer:
this is the answer⬆hope it helps
The area of a rectangular gymnasium is (5x+5x) square feet. If it is 5x feet wide, what is the length, in feet?
A. x + 1
B 5x
0. 12
D
x + x
Answer:
Step-by-step explanation:
Area = L x W gym area is (5x + 5x) ft² if W = 5x Find the L
Area = L x W divide both sides by W
Area/W = (L x W) / W
Area/W = L = Area/W
L = Area/W
= (5x + 5x) / (5x)
= 5x( 1 + 1) / 5x
= 5x(2) / 5x the 5x's cancel each other 5x/5x = 1
= 2 ft I got 2. I suspect the 12 was a typo and should have been 2