Answer:
x - 4
Step-by-step explanation:
Please write X2-7x+12 by x-3 as x^2 - 7x + 12. The " ^ " represents exponentiation.
Notice that x^2 - 7x + 12 factors as follows: (x - 3)(x - 4), and so the original division problem
x^2 - 7x + 12 (x - 3)(x - 4)
-------------------- becomes -------------------- = x - 4
x - 3 x - 3
for all x except x = 3 (because we cannot divide by zero).
Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of
popcorn each. If the friends spend a total of $62, how much does each small bag of popcorn cost?
Write and solve an equation.
help me plz which formula should I use??
Answer:
Multiply all the cm and u will get the answer.
Nina mixed 2 ⅛ pounds of apples, 1 ½ pounds of berries, and 1 ¼ pounds of grapes for a salad. She set aside ⅓ of the slad for dinner and put the rest in a container for later. How many pounds of salad did she put in the container?
Answer: [tex]\dfrac{13}{4}\ \text{or}\ 3\ \dfrac{1}{4}\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Nina mixed [tex]2\ \frac{1}{8}[/tex] pounds of apples, [tex]1\ \frac{1}{2}[/tex] pounds of berries, and [tex]1\ \frac{1}{4}[/tex] pounds of grapes.
Total salad is
[tex]\Rightarrow \dfrac{2\times 8+1}{8}+\dfrac{1\times 2+1}{2}+\dfrac{1\times 4+1}{4}\\\\\Rightarrow \dfrac{17}{8}+\dfrac{3}{2}+\dfrac{5}{4}=\dfrac{17+12+10}{8}\\\\\Rightarrow \dfrac{39}{8}\ \text{Pounds}[/tex]
Now, one-third of the salad is kept aside and the remaining is put in the container.
Amount of salad Put in the container is
[tex]\Rightarrow (1-\dfrac{1}{3})\cdot (\dfrac{39}{8})=\dfrac{13}{4}\ \text{Pounds}[/tex]
Find the measure of the indicated angles below.Drag the points to show the measure of the four angles
Answer Plzz
A. Angle E = 113°
B. x = 16°
ExplainNumber A
92 + 70 + 85 + ? = 360
162 + 85 + ? = 360
247 + ? = 360
? = 360 - 247
? = 113°
Number B
108 + 84 + ( x + 30 ) + ( 2x + 18 ) = 360
(180 + 84 + 30 + 18) + (x + 2x) = 360
312 + 3x = 360
3x = 360 - 312
3x = 48
x = 48/3
x = 16°
#LearnWithBrainly
HELP HELP HELP HELP HELP HELP HELP
Answer:
1) x = 50 m
2) Max area = 22500 m²
3) Max area of each pen = 1500 m²
4) y = 150 m
5) dimensions of pen are 50m and 30m
6) Graph is attached
Step-by-step explanation:
Area of a rectangle is length × width
Let length be y and let width be x
Thus;
A = xy
Fencing material is 600m
Thus,perimeter = 600
Perimeter is; P = 6(length) + 2(width)
Thus;
600 = 6x + 2y
y = (600 - 6x)/2
y = 300 - 3x
Thus,
A = x(300 - 3x)
A = -3x² + 300x
We can see that the coefficient of x² is negative. This means that the parabola will open downward and has a maximum value at the vertex.
The vertex formula is;
x = -b/2a
a = -3
b = 300
Thus;
x = -300/(2 × -3)
x = 50 m
Since y = 300 - 3x, then;
y = 300 - 3(50)
y = 150 m
Maximum area of entire garden = xy = 50 × 150 = 7500 m²
There are 5 pens, thus;
Max area of each pen = max area of entire garden/5 = 7500/5
Max area of each pen = 1500 m²
Dimensions of each pen will be;
x and y/5
>> x = 50 m and y/5 = 150/5 = 30m
Kailynn has been on a roll, and solving 5 math problems every 2.5 minutes. At this rae, how many problem will she solve in 30 minutes.
Answer:
60 math problems.
Step-by-step explanation:
30/2.5=12
12*5=60
Solve for a: c=10 and b=22
a+c=6
a=
Answer:
a = -4
Step-by-step explanation:
a + c = 6
substitute 10 for 'c'
a + 10 = 6
a = -4
Answer:
a has to be a negative since c is equal to 10 so a is -4 because -4 + 10= 6
Step-by-step explanation:
hope this helps.
What transformation is shown below?
reflection
can't be determined
rotation
translation
Answer:
it's a translation
Step-by-step explanation:
it just moved (3,0). If it were a rotation the y-axis wouldn't be the same. If it were a reflection you would be able to flip the blue triangle onto the red triangle.
Bryson is painting kitchen stools. Each stool requires 1 1/2 liters of paint. Bryson has 20 liters of paint, How many stool will he be able to paint?
Answer:
3
Step-by-step explanation:
5.5 litres paint needed for 1 stool
1 litres paint needed for 1/ 5.5
20 litres paint needed for 20/5.5
= 3.636
And now comes the twist, you can't paint 3.6 stools. also You can't paint 4 stools. You need to round down to 3
does anyone know how to do any of these types of problems?
9514 1404 393
Answer:
150°
Step-by-step explanation:
The rule here is that the external angle is half the difference of the arcs subtended. That relation is used to form an equation, which can then be solved for whatever measure is of interest.
(RB -EC)/2 = D
((13x +7) -(60))/2 = (5x -10)
13x -53 = 10x -20 . . . . . . . . . . multiply by 2
3x = 33 . . . . . . . . . . . . . . add 53-10x to both sides
x = 11 . . . . . . . . . . . . divide by 3
RB = 13x +7 = 13·11 +7 = 150
The measure of arc RB is 150°.
Choose the function whose graph is given by:
What are the solutions to the equation x2 + 4x – 12 = 0?
Answer:
Step-by-step explanation:
X=2,-6
I need this ASAP PLZ
Solve for x. Round your answer to the nearest tenth. HELPPPPP!
Answer:
x = 32.6°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{13}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{7}{13}[/tex] ) ≈ 32.6° ( to the nearest tenth )
I need help with this . Please show workings.
1. a class library has 275 books . It is increased by 50 books.
What percentage increase is this?
Answer:
18.18%Step-by-step explanation:
Initial number = 275Increase in number = 50Percent increase:
50/275*100% = 18.18%please help me with this please, this is due in a couple of minutes.
Answer:
There are 42 dogs and 105 cats at the shelter. To find the number of rabbits, subtract these numbers from the total number of animals at the shelter. So there are 21 rabbits at the shelter.
Step-by-step explanation:
Because there are 168 animals at the shelter and [tex]\frac{1}{4}[/tex] of the animals are dogs, you can infer that there are [tex]\frac{168}{4}[/tex] or 42 dogs at the shelter. The question says that [tex]\frac{5}{6}[/tex] of the remaining animals are cats, which you can get two things from this statement: #1, [tex]\frac{5}{6}[/tex] of the remaining animals (not including dogs) are cats in the shelter. #2, [tex]\frac{1}{6}[/tex] of the remaining animals (not including dogs) are rabbits in the shelter, since that is the remaining number of animals left that aren't cats or dogs. Using this, you can get the number of cats is the number of dogs subtracted by the total number of animals at the shelter and multiplied by [tex]\frac{5}{6}[/tex], which would be [tex]\frac{5}{6}[/tex](168 - 42) = [tex]\frac{5}{6}[/tex]*126 = 5 * 21 = 105 cats at the animal shelter. Since the number of rabbits is [tex]\frac{1}{5}[/tex] the number of cats in the shelter ([tex]\frac{5}{6}[/tex] = [tex]\frac{1}{6}[/tex] * 5), that means there are [tex]\frac{105}{5}[/tex] or 21 rabbits at the animal shelter, and that we'd need to subtract the number of cats and dogs from the total number of animals at the shelter to find the number of rabbits.
find CE 14 6 x - 5 2x + 3
The value of x from the similar triangles is x = 9 and the length of CE of the triangle ACE is CE = 35
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔACE
Let the second triangle be represented as ΔBDC
The measure of side AB = 6
The measure of side BC = x - 5
The measure of side AC = x + 1
The measure of side CD = 14
The measure of side DE = 2x + 3
The measure of side CE = 2x + 17
Now , ΔACE and ΔBDC are similar
So , the corresponding sides of similar triangles are in the same ratio
Substituting the values in the equation , we get
AC / CE = BD / CD
( x + 1 ) / ( 2x + 17 ) = ( x - 5 ) / 14
On simplifying the equation , we get
14x + 14 = 2x² - 10x + 17x - 85
Subtracting 14x + 14 on both sides of the equation , we get
2x² - 7x - 99 = 0
On factorizing the equation , we get
x = 9 or x = -11/2
Substituting the value of x in the equation , we get
The length of line segment CE = 2x + 17
The length of line segment CE = 2 ( 9 ) + 17
The length of line segment CE = 35
Hence , the length of CE is 35
To learn more about similar triangles click :
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question:4x²-9
answer:
Step-by-step explanation:
4x^2-9
=(2x)^2 -3^2
=(2x+3) (2x-3)
Hope this helps you.
Please help
See pic attached
Please help I’m failing lolz..
Answer:
Yes, since there are no other values in the bracket, the squared is only targeting -2. (Brainiest?)
Step-by-step explanation:
:)
Diego bought some raisins and walnuts to make trail
mix. Raisins cost $4 a pound and walnuts cost $8 a
pound. Diego spent $15 on both ingredients. Decide if
each pair of values could be a combination of raisins
and walnuts that Diego bought.
Explain your answer.
Answer:
The last one
Step-by-step explanation:
Find the volume of the cone in terms of pi. 405TT cm3 324TT cm3
405TT cm3 72TT cm3
The volume of the cone in terms of pi is 324π cubic cm.
What is volume of cone?Volume in mathematics describes how much space a three-dimensional item takes up. It is a measurement of the object's capacity, or the volume of fluid it can store. Typically, cubic units like cubic metres (m3) or cubic centimetres are used to determine an object's volume.
A three-dimensional object's shape affects the formula used to determine its volume. A rectangular prism's volume, for instance, can be determined by multiplying its length, width, and height.
The volume of the cone is given by the formula:
V = (1/3)πr²h
Now, for r = 9 and h = 12 we have:
V = (1/3)πr²h
V = (1/3)π(9²)(12)
V = 324π cubic cm
Hence, the volume of the cone in terms of pi is 324π cubic cm.
Learn more about volume of cone here:
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NO LINKS!!!!!!!!! please solve it and explain it.
Answer:
it nonlinear i think
Step-by-step explanation:
on the x it goes from a 3 3/5 to 5 2/5 then drops down to ten.
we already know this is wrong because linear means going straight and proportional when displayed on a graph instead of having zigzag and sharko lines
pls mark brainliest if its right thank u have a nice day! :D
In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th
Answer:
618.2203≈618.22
Step-by-step explanation:
618.2203≈618.22
ILL BRAINLIEST YOU IF YOU GET IT RIGHT
Answer:
option (C) W + 180° is right answer
Which is a true statement based on the dot plots below?
.
++
10 20 30 40 50 60
Set A
10 20 30 40 50 60
Set B
O Set A has the greater mean.
O Set A has the lesser range.
O Set B as the greater median
O Set B is less symmetric than Set A
Which model represents 1.56+0.33
Pls pls help me
Answer:
Model 2
Step-by-step explanation:
1.56 + 0.33 = 1.89
(c) Rashid has 210g of cocoa powder and plenty of the other ingredients.
He says that he can make at least 75 cupcakes.
Is he correct?
Explain your reasoning.
Answer:
He is incorrect. He would need 225g of cocoa powder
Step-by-step explanation:
1. Lets calculate how much powder do we need per one cupcake, so 60 divided by 20, since 60g makes 20 cupcakes, 60/20 = we get 3g of cocoa powder per one cupcake.
2. Now we can multiply that by 75, 75*3=225, and 225g is more than 210g
HELPP!!!!!!!!!!!!!!!!
Answer:
D.4 3/4
Step-by-step explanation:
hope it helps you
7.2 puzzle time did you hear about the smog worksheet 8th grade answer key
Answer: I Don't Know