Answer:
Please check the explanation.
Step-by-step explanation:
We know that the unit rate is termed as the slope of the line.
We also know that the slope is normally represented by a fraction which may be expressed as a unit rate found at the point on the graph.
We are given that a bottling machine fills 15 bottles of water every 6 seconds.
We want a unit rate where 1 is in the denominator.Thus,
unit rate = 15 bottles / 6 seconds
= 2.5 bottles / 1 second
= 2.5 bottles per second
Thus,
The unit rate = 2.5 bottles per second
We know that the unit rate represents the slope of the line which is normally represented by a fraction or ratio.
Therefore,
Slope = 15 / 6
= 2.5
If a population grows by 69%, what is the multiplier?
A college student mows lawns to cover his weekly expenses. The student charges $10 for each hour he spends .mowing lawns Identify the related and unknown quantities.
Which two unknown quantities in this situation are related?
A.
The amount of money the student earns
B.
The number of college students mowing lawns
C.
The number of hours the student spends mowing lawns
D.
The number of lawns the student mows
Answer:
A. and C.
Step-by-step explanation:
Select all of the fractions that are equivalent to -2/3
o 2/-3
o -3/-2
o -2/-3
o - 2/3
o -3/2
o -2/2
Please helppp
Answer:
Step-by-step explanation:
⇒o 2/-3 Doesn't matter where the minus is as long as there an odd numbere of them.
o -3/-2
o -2/-3
⇒o - 2/3 This is given. Is it really listed.
o -3/2
o -2/2
There really are only 2 of them. 3/2 in any form is not equal to 2/3.
-2/2 = - 1 not -2/3
-2/-3 There are an even number of - signs. The answer is 2/3
Find the distance between the two points in simplest radical form.
(-5,8) and (-3, 1)
Given:
The two points are (-5,8) and (-3,1).
To find:
The distance between the given two points in simplest radical form.
Solution:
Distance formula: The distance between two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between (-5,8) and (-3,1) is
[tex]d=\sqrt{(-3-(-5))^2+(1-8)^2}[/tex]
[tex]d=\sqrt{(-3+5)^2+(-7)^2}[/tex]
[tex]d=\sqrt{(2)^2+(-7)^2}[/tex]
[tex]d=\sqrt{4+49}[/tex]
[tex]d=\sqrt{53}[/tex]
Therefore, the distance between two points (-5,8) and (-3,1) is [tex]\sqrt{53}[/tex] units.
If f(x) = x4 – 5, then what is the remainder when f(x) is divided by x + 1?
Answer:
The remainder is: f(-1) = -4
Step-by-step explanation:
We know that when a polynomial function f(x) is divided by x-c, then the remainder is f(c)
Given the function
[tex]f\left(x\right)\:=\:x^4\:-\:5[/tex]
It is stated that the function f(x) is divided by x + 1.
Thus, substituting x = -1 in the function to find the remainder f(-1)
i.e
f(-1) = (-1)⁴ - 5
f(-1) = 1 - 5
f(-1) = -4
Therefore,
The remainder is: f(-1) = -4
Answer:
9
Step-by-step explanation:
Let fx) = x + 11 + 2 and g(x) - 2 x + 11. When does f(x) = g(x)?
Answer:when x= -2/3
That means, when the common product of f(x) & g(x) is x+2/3
Step-by-step explanation:
Can anyone help me please??? Almost done Thank you!!
Answer:
you might’ve already answered this but it’s 65
Step-by-step explanation:
the two sides in a triangle have to be congruent so if one angle is 65, the other has to be 65 too :)
Answer:
65
Step-by-step explanation:
the given triangle is an isoceles triangle and opposite angles of opposite equal sides of isosceles triangle are equal
convert 18 1/10 into a decimal.
Answer:
the answer is 18.1 1/10 is the same thing as .1
What is the diameter of the circle shown above?
A) 1 inch
B) 3.14 inches
C) 8 inches
D) 16 inches
HURRY PLEASE DUE IN A FEW MINUTES!!! WILL MARK THANKS, 5 STARTS AND BRANLIEST IF RIGHT!!!!!!
Answer:
D. 16 in.
Step-by-step explanation:
The radius of the circle is 8 in. The diameter of any circle is twice the radius.
2 x 8 = 16
The diameter is 16 in. long.
I hope this helped :)
Which of the following expressions are undefined? CHOOSE ALL THAT APPLY
A. 6/0
B. 5/0
C. 6/5-5
Answer:
6/0, 5/0, 6/5-5
Step-by-step explanation:
You cannot divide a number by 0:
6/0 is dividing by 05/0 is dividing by 06/5-5=6/0 which is dividing by 0Two candidates ran for class president. The candidate that won received 60% of the 380 total votes. How many votes did the winning candidate receive?
this all my points pls dont troll;-;
Answer: 228
Step-by-step explanation:
10% of 380 is 38.
The winning candidate got 60% of the votes.
So, we will multiply 38 by 6.
38 x 6 = 228
The answer to the question is 228.
can someone help me don't show my math hw? ily and tysm.
Answer:
Step-by-step explanation:
16)
[tex]\frac{4}{10} , \frac{32}{72}\\\\\frac{4}{10} = \frac{32}{72}[/tex]
Cross multiply,
4 * 72 = 32 * 10
288 ≠ 320
So, these are not in proportion.
17)
[tex]\frac{40}{25} = \frac{32}{20}[/tex]
Cross multiply,
40 * 20 = 32 * 25
800 = 800
So, these are in proportion.
18)
[tex]\frac{15}{45}=\frac{9}{c}[/tex]
Cross multiply,
15 * c = 9*45
c = [tex]\frac{9*45}{15}[/tex]
c = 9*3
c = 27
19)
[tex]\frac{16}{120} = \frac{v}{15}[/tex]
Cross multiply
16 * 15 = v * 120
[tex]\frac{16*15}{120} =[/tex] v
v = 2
What is 10and 1 half divided by 7 eights
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
10 1/2 / 7/8= 12
4. Tell if the measures 6, 14, and 13 can be side lengths of a triangle. If so, classify the triangle as acute,
right, or obtuse.
a. Yes; acute triangle
c. Yes; right triangle
b. Yes; obtuse triangle
Answer:
A. Yes; acute triangle
Step-by-step explanation:
a=6
b=14
c=13
Using Pythagorean theorem-
c^2 = a^2 + b^2
13^2 = 6^2 + 14^2
169 = 36 + 196
169 = 232
169 < 232
Therefore, (a) the triangle is acute.
If 169 =169 there would be a right triangle.
If c were greater than a + b there would be an obtuse triangle.
At a baseball training camp, a computer system plots the paths of balls hit during sessions at the batting cage and generates equations for those paths. The path of a ball hit by David is described the equation h(t)=-9-6t+3t^2 .Find how long it would take the ball to hit the ground in an open field. Solve by completing the square.
Your answer:
13
A local business is calculating the total profit made f(x) after selling
x cupcakes. The business would like to predict their profit by creating an equation for the function.
Write an equation that models the total profit for the business below.
Drag and drop the numbers into the boxes to create the function's equation. Not all numbers listed will be used.
x | f(x)
_____
3 | -5
7 | -2
11 | 1
15 |4
(it won’t allow me to send another pic with the chart so i hope this helps. & the picture i did attach are the things you have to use to create the problem it has to be in the form f(x) = _ x + _
Answer:
The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]
Step-by-step explanation:
We need to find equation from the table given
x f(x)
3 -5
7 -2
11 1
15 4
We can write equation in the form of [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
Finding Slope
We can used the slope formula to find slope: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table we have: [tex]x_1=3, y_1=-5, x_2=7, y_2=-2[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}[/tex]
So, we get slope [tex]m=\frac{3}{4}[/tex]
Now, finding y-intercept
Using the slope [tex]m=\frac{3}{4}[/tex] and point (3,-5) we can find y-intercept
[tex]y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}[/tex]
The y-intercept is [tex]b=\frac{-29}{4}[/tex]
So, the equation having slope [tex]m=\frac{3}{4}[/tex] and y-intercept [tex]b=\frac{-29}{4}[/tex] will be:
[tex]y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}[/tex]
The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]
rationalise the denoninator of 1 ÷ 5 - square root of 2
Answer:
Square root2 /3
Step-by-step explanation:
1. Multiply both numerator and denominator by square root of 2.
2. Square root 2 times itself is just 2 that so denominator is 5-2
3. 1 times Square root 2 is just Square root 2. So numerator is Square root 2
4. 5-2=3 so final answer is Square root 2 over 3
whats 2+2x (7/7)= to
Answer:
2+2x(7/7)= 0 (you do what's in the parenthesis first)
2+ 2x (1) =0 (then you multiply, and anything times 1 is itself)
2 + 2x= 0 (subtract 2 from both sides to get the x-term alone)
2x= -2 (divide both sides by 2 to get x isolated)
x= -1 (is your answer)
The toy factory at the North Pole uses 350 feet of wood to make 200 toys. At this rate,
how many feet of wood re needed to make 1 toy?
Answer:
1.75 feet of wood
Step-by-step explanation:
350/200 = 1.75
x/1 = 1.75
Multiply both sides by 1 to isolate x.
x = 1.75
Subtract. Write your answer in simplest form.
3 1/8 - 7/12
A. 2 1/24
B. 3 13/24
C. 2 13/24
D. 3 11/24
Answer:
I believe it is D
Step-by-step explanation:
A family has a hybrid car that gets 40 miles per gallon (mpg) and a pickup truck that gets 17 mpg. They drive at least 500 miles per week using both vehicles but don't want to use more than 20 gallons of gas. Make a recommendation for using each vehicle. Part A Write an expression that represents the total amount of gasoline used. Then write an inequality to show the maximum amount of gasoline that the family wants to use. Define the variables and list any constraints on the variables.
Answer:
[tex]Z=x+y[/tex]
[tex]x+y<20[/tex]
Step-by-step explanation:
Let the gallons of fuel used in the hybrid per week car be [tex]x[/tex] and [tex]y[/tex] be the number of gallons used in the pickup truck per week.
Number of miles driven using both vehicles is at least 500 per week. The inequality that represents the number of miles driven is.
[tex]40x+17y\geq 500[/tex]
The expression of total amount of fuel used would be [tex]Z=x+y[/tex].
Now the sum of the fuels used in both the cars is more than 20 gallons per week. The inequality that represents the total amount of gasoline used is
[tex]x+y<20[/tex]
if U={natural number less than 10}, M={multiples of 2}, N={factors of 8} and O={even number} then can we write M intersection (N intersection O) = (M intersection N) intersection O? verify
Answer:
yes
Step-by-step explanation:
u={1,2,3,4,5,6,7,8,9}
m={2,4,6,8}
N={1,2,4,8}
O={2,4,6,8}
Now
M intersection (N intersection O) = (M intersection N) intersection O
or , {2,4,6,8} intersection {2,4,8} ={2,4,8}
intersection {2,4,6,8 }
:. {2,4,8} ={2,4,8}
Solve.
The perimeter of a college athletic field is 100 meters and the length is 18 m more than the width
Find the length, width and area.
take the breadth as x and accordingly length as (x+18)
the formula for finding the perimeter of a rectangle is 2(l+b) now put the correct values as shown in the picture and form an equation this way you will be able to find x which is the breadth and length Is 18 morethan breadth ,now as u have found both length and breadth go ahead and find the area whose formula is length×breadth
HOPE IT HELPS
2x – 3y = 15
-2x + y = -1
Answer: -y=7
Explanation:
Think of your problem as subtraction:
2x-3y+15
-2x+3y=-1
Help brainliest for correct answer
Answer:
14 degrees.
Step-by-step explanation:
I am assuming that the 56 degree angle is at the centre of the circle.
The angle at the top in the circle = 1/2 * 56 = 28 degrees.
The reflex angle = 360 - 56 = 304 degrees.
If we draw a line from the vertex of the 56 degrees angle to the vertex of 28 degree angle we bisect the reflex angle and the 28 degree angle. Also the 2 triangles formed are congruent ( by SSS).
So x = 180 - 1/2 * 28 - 1/2 * 304
= 180 - 14 - 152
= 180 - 166
= 14 degrees.
I can't figure out d - 11
Answer: d = 17
Step-by-step explanation:
d - 11 = 6
So, by adding 11 to each side you'd get rid of the -11 on the left and isolate the variable
d = 17
What is the slope of the line represented by 3x - 7y = 28?
I’ll mark u as brainlist (all that apply)
Answer:
use some brain cells
Step-by-step explanation:
Tickets for a family of 6 to go skiing cost $48. whats the unit price ?
How do I solve and respond to this question?
Answer:
i think its 6 and 8
Step-by-step explanation:
sorry if i get it wrong
can you tell me if it is right or wrong