Answer:
2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)
Step-by-step explanation:
Factor x^2-x-12: (x+3)(x-4)
Factor x^2-16: (x+4)(x-4)
So, LCD would be (x+3)(x-4)(x+4)
Rewritten: 2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)
I hope this helped and have a good rest of your day!
What is the solution to this system of equations? (Possible answers included)
Answer:
A. 2,6
Step-by-step explanation:
Looking at the lines, the lines intercept through 2,6.
Have a great day (:
Simon is cutting lengths of ribbon for an art project. He cuts a 2.7-meter ribbon, a 1.15-meter ribbon, and a 0.65-meter ribbon. What is the total amount of ribbon Simon cut?
Answer:
4.5 meters
Step-by-step explanation:
you just add them 2.7 + 1.15 = 3.85 + 0.65 + 4.5
Answer:
4.5 m
Step-by-step explanation:
2.7
+ 1.15
+ 0.65
= 4.50 meters of ribbon
Hope this helps!
:
The CoffeeShop is creating a new blend of coffee. Coffee A sells
for $5 per pound. Coffee B sells for $9 per pound. The
Coffee Shop will mix 20 pounds of the new blend and sell it for $6
per pound. The following equations represent the problem of
keeping the cost of the blend consistent with the Ingredients.
a + b = 20
5a + 9b = 120
a = pounds of Coffee A and b = pounds of Coffee B
How many pounds of Coffee B should be used in the blend?
Let x = pounds of $12 per pound coffee
then
20-x = pounds of $9 per pound coffee
.
12x + 9(20-x) = 10(20)
12x + 180 - 9x = 200
3x + 180 = 200
3x = 20
x = 20/3
x = 6 and 2/3 pounds of $12 per pound coffee
.
Amount of $9 per pound coffee:
20-x = 20-20/3 = 60/3 - 20/3 = 40/3
or
13 and 1/3 pounds of $9 per pound coffee
Shayla purchased a vase in the shape of a rectangular prism. The area of the bottom of the vase is 18 square inches, and the height of the vase is 8 inches. How many cubic inches of water will completely fill the vase?
A : 26
B:144
C:648
D : 2,592
Answer:
B:144
Step-by-step explanation:
18*8=144
A. 625in^3
B. 25in^3
C. 125in^3
D. 5in^3
Answer:
125in^3
Step-by-step explanation:
All sides of a cube are equal
∴ vol. of cube= side³
Side = 5in
Vol= (5)³=125
∴ Volume = 125in³
The population of a school is 2100 and is increasing at the rate of 3%;6 years.
Write a function to model the situation.
Answer:
p = 2100e^0.3t , t=6 years
Step-by-step explanation:
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours. When Maya biked for 3 hours and then ran for 1 hour and 30 minutes, what was her average speed?
Answer: 8
Step-by-step explanation: Speed is distance/time
18/3 = 6 miles per hour running
18/2 = 9 miles per hour biking
3 hour bike = 27 miles
1.50 hour run (0.50 because 30 minutes is half of an hour) = 9 miles
27 + 9/3 + 1.50 = 36/4.5 or 8
The graph shows the numbers of quarts of yellow paint that must be mixed with different numbers of quarts of red paint to make a certain shade of orange paint.
Based on the graph, write an equation that shows the relationship between the number of quarts of yellow paint, y, and the number of quarts of red paint, x, needed to make the shade of orange paint.
Enter your equation in the space provided. Enter only your equation.
Answer:
y = 0.4x
Step-by-step explanation:
The graph shows that the relation is linear, so we can model this relation with a linear equation:
y = ax + b
To find the value of the parameters, we should get two points from the line and use their coordinates in the equation.
From point (0,0), we have:
0 = a*0 + b
b = 0
From point (2,5), we have:
2 = 5a + b
a = 2/5 = 0.4
So the equation we want is:
y = 0.4x
Do you have a triangle with 3 angles:60 degrees,60 degrees,and 63 degrees
Answer:
No
Step-by-step explanation:
The sum of all angles in a triangle is 180°. Because 60 + 60 + 63 = 183 ≠ 180, this is not a triangle.
The sum of all angles in triangle is equeal to 180°
We need to check sum of 60, 60 and 63.
60+60+63=183
183≠180
There is no such triangle
write the midpoint of the segment as an order pair.
Answer:
1. (3, 5)
2. (1/2, 4)
Step-by-step explanation:
To find the coordinates of the midpoint of a segment, find the average of the x-coordinates of the endpoints and the average of the y-coordinates of the endpoints.
1. (1, 2) and (5, 8)
x-coordinate of midpoint = (1 + 5)/2 = 6/2 = 3
y-coordinate of midpoint = (2 + 8)/2 = 10/2 = 5
Midpoint: (3, 5)
2. (0, 1) and (1, 7)
x-coordinate of midpoint = (0 + 1)/2 = 1/2
y-coordinate of midpoint = (1 + 7)/2 = 8/2 = 4
Midpoint: (1/2, 4)
What is the area of the regular polygon?
The diagonal is 10, so a side is [tex]{10/\sqrt{2} }[/tex]
The area would be 100/2
or 50 m^2.
What mathematical operation is used with scaling/dilations?
Answer:
The scale factor, r, determines how much bigger or smaller the dilation image will be compared to the preimage. k will always be a value that is greater than 0. Center Point The center point is the center of the dilation. You use the center point to measure the distances to the preimage and the dilation image.
Step-by-step explanation:
so multiplication
pls help me with this rq
Answer:
25 inches
Step-by-step explanation:
We can use a ratio to solve
width dr height dr
------------- = ----------
width act height act
15 inches x inches
--------------- = -----------------
3 ft 5 ft
Using cross products
15*5 = 3x
Divide each side by 3
15*5 /3 = 3x/3
25 =x
Segment AC is a diagonal of a regular polygon ABCDEF. What does Angle ACD equal.
A.36
B.5
C.72
D.108
Answer: the answer is D.108
find the value of x help plz
Answer:
5. x = 9
6. x = 12
7. x = 15
8. x = 11
Step-by-step explanation:
5. 90-56 = 34
34 = 3x + 7
27 = 3x
x = 9
6. 90 - 48 = 42
42 = 3x + 6
36 = 3x
x = 12
7. 90 - 47 = 43
43 = 2x + 13
30 = 2x
x= 15
8. 3x + 5x + 2 = 90
8x = 88
x = 11
Could somebody help me on this please
Answer:
right angle:-a Pythagorean theorem only works if the triangle is a right angle.
leg:- the two legs of a triangle are needed to complete the equation a²+b²=c²
hypotenuse:- too is needed to complete the equation too.
square root:- is used to simplify the equation at the end.
it was simplified by putting 169=x² in a square root.
Step-by-step explanation:
How are polynomials with operations, like other number systems, such as whole numbers and integers?
BRAINLIEST AWARD ASAP
(Please explain the way you got your answer)
3(2-4i)^2
Write the equation of the line that passes through the points (−1,−6) and (−5,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:you get two answers. y+6=-7/4(x+5) or y-1=-7/4(x+5)
Step-by-step explanation:
By the way the 7/4 is negative if you could not tell. You get this answer by finding the slope which is 1- -6/-5- -1 and get -7/4. Then you plug it into the formula y-y1=slope(x-x1). When you plug it in you should get that answer.
The equation of the line that passes through the point (-1, -6) and (-5, 1) is
y = (-7/4)x - 32/4
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line is y = mx + c
Now,
(-1, -6) and (-5, 1)
Slope = m
m = (1 + 6) / (-5 + 1)
m = 7/-4
m = -7/4
Now,
(-1, -6) = (x, y)
-6 = (-7/4) x -1 + c
-6 = 7/4 + c
c = -6 - 7/4
c = (-24 - 7) / 4
c = -32/4
The equation of the line is y = (-7/4)x - 32/4
Thus,
The equation of the line is
y = (-7/4)x - 32/4
Learn more about equation of a line here:
https://brainly.com/question/23087740
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PLEASE HELP ME!!
I don't understand.... If possible, please explain!
If ABC ≅ DCE,
Angle B = 2x + 31 and Angle E = 7x - 24
x = [?]
Answer:
The congruence statement tells you that both angle B and angle E are equal, since the triangles are identical!
Step-by-step explanation:
We want to set the equations equal to each other.
2x+31=7x-24
We need to isolate our variable, which is X.
1. Add 24 to both sides.
New Equation: 2x+55=7x
2. Subtract 2x from both sides.
New Equation: 55=5x
3. Divide by 5 from both sides so X is alone!
New Equation: x=11
Enough said! :D
Check the statement(s) below to ensure that distance readings are accurate.
Estimate measurements to the nearest 0.05 cm.
Start all measurements at the 1 cm mark.
Start all measurements from the corner of the ruler.
Start all measurements from the zero (0) mark.
Answer:
A and D
Step-by-step explanation:
Took test on Edg 2020 and was correct
Answer:
A: Estimate measurements to the nearest 0.05 cm.
D: Start all measurements from the zero (0) mark.
Morgan scored 41 points in 3 games. How many points would you expect him to make in an 11 game seasons.
Unit rate ______ points/games
Points in 11 games ______
Unit rate = 41 points / 3 games = 13 2/3 points per game
Point in 11 games = 13 2/3 points per game x 11 games = 150 1/3 total points, round to 150.
Which represents where f(x)=g(x)?
I need help I can’t figure this out
Answer:
12.04 = BC
Step-by-step explanation:
A tangent intersects at 90 degrees
We know AB and AC
We can use the Pythagorean theorem
a^2 + b^2 = c^2
AC^2 + AB^2 = BC^2
8^2 + 9^2 = BC^2
64+ 81 = BC^2
145 = BC^2
Take the square root of each side
sqrt(145) = BC^2
12.0415945 BC
To the nearest hundredth
12.04 = BC
What is the volume of the right rectangular prism, in cubic inches?
12 in
Area of base = 4 sq in
cubic inches
Answer:[tex]48\ in.^3[/tex]
Step-by-step explanation:
Given
height of prism [tex]h=12\ in.[/tex]
Area of base [tex]A=4\ in.^2[/tex]
Volume of a rectangular prism
[tex]V=height\times Area[/tex]
[tex]V=12\times 4[/tex]
[tex]V=48\ in.^3[/tex]
So, volume of Prism is [tex]48\ in.^3[/tex]
Answer:
48
Step-by-step explanation:
I'm doing the quiz, hope you guys have a good day.
(*˘︶˘*).。*♡
HELP QUICK PLZZZ HURRY!!!! ILL GIVE YOU 15 POINTS
Answer:
im so confused
can u make me brainliest Step-by-step explanation:
pleaseeeeeeeeeeeeeeeee
Answer:
What do you need help with?
Step-by-step explanation:
I'm happy to help! (If I can) (Probably not but maybe)
How can the diagram be used to evaluate Three-halves divided by three-fourths?
A number line going from 0 to 1 in increments of one-half.
Start at 0 and move lengths of Three-halves until arriving at Three-fourths. The answer is One-half.
Start at 0 and move lengths of Three-fourths until arriving at Three-halves. The answer is 2.
Start at 0 and move lengths of Three-halves until arriving at Three-fourths. The answer is 2.
Start at 0 and move lengths of Three-fourths until arriving at Three-halves. The answer is One-half.
Answer: c
Step-by-step explanation: I took the test
Help please i'm getting mad because i don't understand, and again. Thank you if you answered. PLEASE HURRY!!!
Answer:
D and E are the correct answers
Step-by-step explanation:
A is false: The difference between the greatest and least weights is NOT 1/2.
B is false: 2/9 of the packages weigh 5/8 pounds...not 1/4.
C is false: You can clearly see there were more than 12 packages purchased.
D is true: 3/4 = 6/8 and there is 1 package that weighs 6/8 pounds 1 x 3=3 and there is a total of 3 packages that weigh 1 1/8 pounds.
E is true: 1/2=4/8 and the smallest amount is 5/8 pounds which is over 1/2 pound.
~ Please mark me as brainliest :)
A girl measures the mass of a 8 cm3 block of sugar to be a 12.9 g. What is the density of the brown sugar. Give work.
Answer:
Density: 1.6g/cm^3
Step-by-step explanation:
Density = mass/volume
Mass: 12.9g
Volume: 8cm^3
12.9/8 = 1.6125
Rounded to tenths place.
1.6 grams/cm^3
Answer:
1.61 g/cm³
Step-by-step explanation:
Density is measured as the mass divided by the volume:
d = m / v, where d is the density, m is the mass, and v is the volume
Here, our mass is 12.9 g and our volume is 8 cm cubed, so plug these in:
d = m / c
d = 12.9 g / 8 cm³
d = 1.6125 ≈ 1.61 g/cm³
The density is 1.61 g/cm³.
Simplify the expression.
[tex]\sqrt\frac{16}{15} - \frac{1}{3}[/tex]