Step-by-step explanation:
Share 20pounds in the ratio 2:3
Total ratio=2+3=5
2/5×20=8
20-8=12
Sharing 20pounds in that ratio gives 8pounds:12pounds
Share 15cm in the ratio 1:3
Total ratio=1+4=4
¼×15=3.75
15-3.75=11.25
Sharing 15cm in that ratio gives 3.75:11.25
Argyle sells computers. He keeps one
eighth of his sales as a commission.
How much must he sell to earn $500?
Answer:
Note: I'm assuming that he keeps 1/8 of the money spent for himself.
If this is what the question was asking, then the answer would be:
Argyle must sell $4,000 worth of computers.
Step-by-step explanation:
First, we write an equation.
1/8n = $500
Note: n is the variable I'm using to represent the amount of money Argyle must sell to get $500 as commission.
Then, to get the value of n and to get rid of the fraction, we multiply both sides by 8:
1/8n * 8 = $500 * 8
= n = $4000
Therefore, Argyle must sell $4,000 worth of computers to keep 1/8 ($500) as commission.
Which number represents the BASE?
42=16
A. 4
B. 2
C. 16
Answer:
2
Step-by-step explanation:
A submarine rises to the ocean's surface at 720 feet in 6 minutes. Find the points submarine's change in elevation per minute.
Answer:
The submarine gains 120 feet of elevation per minute.
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP
Answer:
The answer is 21
Step-by-step explanation:
cu = -3( 5, -12)
= -15 + 36
= 21
Daniel read 1/3 of a book in the morning, and he read some more at night. By the end of the day, he still had 2/5 of the book left to read. How much of the book did Daniel read at night?
Answer:amount read at night =4/15
Step-by-step explanation:
Step 1
Since we are dealing with fractions,
Let Total amount of book contained to read = 1 whole
Therefore
Amount read in the morning + amount read at night +amount remaining = Total amount of book contained to read which gves us the equation
1/3 + x + 2/5 = 1
Step 2 --- solving
1/3 + x + 2/5 = 1
1/3 + 2/5 + x= 1
5 + 6 / 15 + x = 1
11/15 + x= 1
x= 1 - 11/15
15/15 - 11/15
x = amount read at night =4/15
2) translation: 1 unit right and 2 units down
an equation of a line that passes through the point (15,2) and is perpendicular to the line -10x+8y = 3?
Answer:
y = -⁴/₅x + 14Step-by-step explanation:
Changing to slope-intercept form:
-10x + 8y = 3 {add 10x to both sides}
8y = 10x + 3 {divide both sides by 8}
y = ⁵/₄x + ³/₈
Two lines are perpendicular if the product of their slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
y = ⁵/₄x + ³/₈ ⇒ m₁=⁵/₄
⁵/₄×m₂ = -1 ⇒ m₂ = -⁴/₅
The line y=-⁴/₅x+b passes through point (15, 2) so the equation:
2 = -⁴/₅×15 + b must be true
2 = -12 + b
b = 14
Therefore equation in slope-intercept form:
y = -⁴/₅x + 14
I need help fast thank you!!
Answer: hypotenuse is 37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
The cost for the company to ship the boxes varies indirectly with the number of boxes being shipped. If 25 boxes are shipped at once, the cost will be $10 per box.
John hit a golf ball from the ground and it followed the projectile h(t)=-16t²+100t+0, where is the time in seconds, and ℎ is the height of the ball. Use the quadratic formula to solve the two roots. These represent the 2 times that the ball is on the ground. At what time does the golf ball land? What is the max height of the golf ball? At what time (t) is the golf ball at the maximum height?
Answer:
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
Step-by-step explanation:
Step(i):-
Given
h(t)=-16t²+100t ...(i)
Differentiating equation (i) with respective to 't'
[tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]
-32t + 100 =0
⇒ -32 t = -100
[tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]
t = 3.125 > 0
Step(ii):-
Given h(t) = -16t²+100t = 0
t ( -16 t + 100 ) =0
t =0 and -16t = -100
t =0 and t = 6.25
Step(iii):-
h(t) = -16t²+100t ...(i)
put t=0 in equation (i)
h(0) = 0
put t = 3.125 in equation (i)
h(t) = -16(3.125)²+100(3.125)
h (t) = 156.25
Put t = 6.25
h(t) = -16(6.25)²+100(6.25)
= 0
The maximum value h(t) = 156.25 at 3.125
final answer:-
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
What is the image point of (−2,5) after a translation left 5 units and up 3 units?
Answer:
(-7,8)
Step-by-step explanation:
The given point (x,y)=(-2,5)
Assuming that right and up directions are positive, so left and down directions are negative.
So, after a translation left 5 units and up 3 units, the image point = (x-5, y+3)
=(-2-5, 5+3)= (-7,8)
Hence, the image point is (-7,8).
HELLPPP
2. If the temperature is given by the equation y= 5x + 50, how would you describe what is
happening to the temperature?
Answer:
Step-by-step explanation:
The temperature starts at 50 and increases because the slope is positive.
Solving systems of equation using elimination
1)2x+2y = 8
x – 2y = 4
2)x+y=8
x-y=4
3)2x+2y=4
x-y=4
4)2x+2y=4
x-y=4
5)x+2y=8
x+3y=4
I need the answer for each problem. Please help is due in 30 minutes!
Answer:
2x+2y = 8
x – 2y = 4
3x=12
x=12/3=4
x=4
2x+2y=8
2(4) + 2y = 8
8+2y = 8
2y=8-8
2y=0
y=0/2=0
2(4)+2(0)=8
8+0=8
x+y=8
x-y=4
2x=12
x=12/2=6
6+y=8
y=8-6=2
6+2=8
2x+2y=4
x-y=4
2x+2y=4
2(x-y=4)
2x+2y=4
2x-2y=8
4x=12
x=12/4=3
2(3)+2y=4
6+2y=4
2y=4-6
2y=-2
y=-2/2=-1
2(3)+2(-1)=4
6+-2=4
x+2y=8
-(x+3y=4)
x+2y=8
-x-3y=-4
-1y=4
y=4/-1=-4
x+2(-4)=8
x+-8=8
x=8+8=16
The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?
Answer:
8 inches = 120 miles
Step-by-step explanation:
If 2 inches is equivalent to 30 miles, then divide 120 by 30 then times the answer by two.
120 / 30 = 4
4 x 2 = 8
8 inches = 120 miles
To check;
30 x 4 = 120
8 / 2 = 4
Hope this helps!!!
Answer:
The answer is 8in.
Step-by-step explanation:
Calculated 120/30
Is 2x + 3 + 7x equivalent to the expression 3(3x + 1) ?
Answer:
Yes
Step-by-step explanation:
3(3x+1) = 9x+3
2x+3+7x = 9x+3
Factor as the product of two binomials
36+12x+x^2
Answer:(x+6) (x+6)
(x+6)^2
Step-by-step explanation:
36+12x+x^2
x^2 +12x +36
What 2 numbers multiply to 36 and add to 12
6*6 = 36
6+6 =12
(x+6) (x+6)
(x+6)^2
Khan said so:
(6+x) (6-x)
Use a number line to order the numbers from least to greatest.
HELLLPPPP!!!!!
what is the slope of the line y=2x+5?
Answer:
2
Step-by-step explanation:
I WILL GIVE YOU BRAINLY PLSS
There are 256 vehicles in a car dealership’s lot. At least 113 of them are hybrid
vehicles. Which inequality describes how many vehicles, at most, are not hybrid?
A. ≤ 143
B. 143
D. ≥ 143
PLSS SHOW YOUR WORK PLSS
Answer:
B
Step-by-step explanation:
you can't have 143
but you also have toe have less
so < 143
Answer:
≤143
Step-by-step explanation:
At most means no more than, so it would be less than or equal to.
Rena has posters that measure 8 inches wide by 10 inches tall. If she uses a poster maker which creates similar posters, what is the area of the poster if the height of the poster is 35 inches?
Answer:
B . 980 just trust me
Step-by-step explanation:
You set up proportions
The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?
Answer:
There are two possible solutions for [tex]g(x)[/tex]:
[tex]g(x) = (x+3)^{2}-5[/tex]
[tex]g(x) = x^{2}-3\cdot x +4[/tex]
Step-by-step explanation:
From statement, we understand that [tex]g(x)[/tex] is defined by the following operation:
[tex]g(x) = f(x) +5[/tex] (1)
If we know that [tex]f(x) = (x+3)^{2}-10[/tex], then [tex]g(x)[/tex] is defined by:
[tex]g(x) = (x+3)^{2}-10+5[/tex]
[tex]g(x) = (x+3)^{2}-5[/tex]
[tex]g(x) = x^{2}-3\cdot x + 9 -5[/tex]
[tex]g(x) = x^{2}-3\cdot x +4[/tex]
Answer:
There are two possible solutions
Step-by-step explanation:
if you roll a six sided die ten times, whats P(x>3)
Answer:
1 Binomcdf (10,1/6,3)
Step-by-step explanation:
Find the slope of the line through (3, -4) and (5, 4). Be sure to simplify completely.
Answer: 4
Step-by-step explanation: (3,-4) (5,4)
4-(-4)= 8
5-3= 2
Divide both numerator and denominator by 2
The slope is 4
Which choices are equivalent to the fraction below? Check all that apply. 16\20
Answer:
To write 16.20 as a fraction you have to write 16.20 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 16.20 = 16.20/1 = 162/10 And finally we have:
Step-by-step explanation:
hope it work for you.
55°
Find the measure of each angle indicated.
70°
Answer:
60
Step-by-step explanation:
The perimeter of a rectangle is 70cm. if its length is decreased by 5cm and its width is increased by 5cm, its area will increase by 50 cm^2. Find the length and the width of the original rectangle.
Answer:
l=25, w=10
Step-by-step explanation:
2(25)+2(10)=70
25*10=250
25-5=20
10+5=15
20*15=300
Answer:
width = 10
lenghth = 25
Step-by-step explanation:
I need help please and thank you
Suppose y varies directly as x, and y=26 when x=8. Find x when y=65.
Answer:
when y=65, x=20
Step-by-step explanation:
We are given:
y varies directly as x
and y=26, when x=8
We need to find x, when y = 65
y varies directly as x can be written as:
[tex]y\:\alpha \:x\\y=kx[/tex]
Where k is constant of proportionality.
Finding k, when y=26 and x=8
[tex]y=kx\\26=k(8)\\k=\frac{26}{8}\\k=3.25[/tex]
We get the value of k = 3.25
Now, we need to find value of x, when y=65 and k=3.25
[tex]y=kx\\65=3.25(x)\\x=\frac{65}{3.25}\\x=20[/tex]
So, when y=65, x=20
The graph shows the linear relationship between the total sales and the amount of items purchased from the local Dollar Store
Which equation best represents the relationship shown in the graph?
Answer:
A. Y= 2x+1
Step-by-step explanation:
The reason for this is if you use the formula Y=Mx+ b it will help you solve this question so lets say you take the points (3,1) Where the 3 is the Y value and the 1 is the X value, so now you would show your work starting by labeling the (3,1) points and label them as their value, then write your formula Y=Mx+ b and then replace those values as 3=2(1)+1 and that equals 3.
A butcher has 3 1 3 pounds of ground beef that will be priced at $1.35 per pound. He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $ .
Answer:
$0.56
Step-by-step explanation:
Cost of 3 1/3 pounds of beef at $1.35 per pound
= 3 1/3 × 1.35
= 10/3 × 1.35
= $4.5
He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $
= $4.5 / 8
= $0.5625
Approximately $0.56 to the nearest cent