Factor the following polynomial:
5x(a - b) – 2y(a - b)
Answer:
(a - b)(5x - 2y)
Step-by-step explanation:
5x(a - b) – 2y(a - b) =
The factors in parentheses (shown in bold) are a common factor.
Factor (a - b) out from both terms.
= (a - b)(5x - 2y)
What does the expression n+3 represent??
Answer:
(?) +3
Explanation:
it would be whatever N equals then add 3
Shape of distribution
Answer:
where is the picture so i can help you
what’s the missing number ?
Answer:
84
Step-by-step explanation:
One way to solve proportions is to cross multiply. If we name the unknown value x, then we can see that:
2x = 12(14)
2x = 168
x = 84
Another way to solve proportions is to ask, what number did you multiply the first numerator by to get the second numerator. In this case, what do you have to multiply 2 with to get 14. The answer is 7, so that means you must also multiply the first denominator by 7 to get the second denominator, or in this case, the unknown value. 12 x 7 = 84, so the missing number is 84.
Hope this helped! :)
The ratio of the angles in a triangle is 2:3:4. What is the measure of the largest angle?
30°
60°
80°
20°
Answer:
80
Step-by-step explanation:
you can take the ratio 2:3:4 as
2x + 3x + 4x = 180
9x = 180
x= 20
4(20) = 80
Answer:
D) 20
Step-by-step explanation:
Set up an equation: 2x+3x+4x=180
9x=180
180/9=20
Answer: D) 20degrees
which point is an x-intercept of the quadratic function
f(x)=(x-8)(x+9) ?
Answer:
(0, 8)
Step-by-step explanation:
i just got this question
Answer:
(-9,0)
Step-by-step explanation:
To find the x intercept, set y=0 and solve for x
f(x) = (x-8) (x+9)
0 = (x-8) (x+9)
Using the zero product property
x-8 =0 x+9=0
x=8 x=-9
(8,0) (-9,0) are the x intercepts
A restaurant manager wants to know which dish is most popular in his restaurant. Who should the manager survey to best find out what he wants to know? A. employees of the restaurant B. people who eat at his restaurant C. people who eat out at least once a week D. members of his family
Answer:
B. People who eat there are likely to return and suggest what is good on the menu to friends and relatives.
What is the range 0 -9 -9 -6 -4 -7 -5 -3
Answer:
9
Step-by-step explanation:
put in order least to greatest
-9 -9 -7 -6 -5 -4 -3 0
9-0=9
range cannot be negative because it is the space between numbers and distance cannot be negative
Answer: The range is 9.
But The aquarium charges $12 per ticket for adults and $5per ticket for children. A group of 90 children and adult chaperones visited the aquartum on a held trip. If the total cost of their tickets was $548, how mamy chaperones were there?
Answer:
There were 76 childrens and 14 adults.
Step-by-step explanation:
Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:
children + adults = 90
Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:
5*children + 12*adults = 548
With these two equations we have a system of equations shown below:
children + adults = 90
5*children + 12*adults = 548
In order to solve this we will multiply the first equation by -5, and sum both equations we have:
-5*children - 5*adults = -450
5*children + 12*adults = 548
7*adults = 98
adults = 98/7 = 14
children + 14 = 90
children = 90 - 14 = 76
There were 76 childrens and 14 adults.
The length of a rectangular room is 5 feet longer than twice the width If the room's perimeter is 166 feet, what is the length?
A. 67 feet
B. 44 feet
C. None of these
D. 114 feet
E. 57 feet
Answer:
E. 57 feet
Step-by-step explanation:
If you draw a rectangle and label the long side 5+2x, and the short side x, then that represents the rectangular floor.
The 2x is "twice the width".
The 5 added to the 2x is "5 feet longer than"
The x is the width of the room.
If the equation for the whole perimeter is 2(5+2x)+2x=166 <-(The perimeter)
(Both of the long sides)^ ^(Both of the short sides)
Then we need to solve for x.
[tex]2(5+2x)+2x=166\\10+4x+2x=166\\10+6x=166\\6x=156\\x=26[/tex]
Next, we input the value we got into the equation 5+2x (The length of one side) and solve
[tex]5+2x\\5+2(26)\\5+52\\57[/tex]
So the length of the room is 57 feet.
Hope this helps!
Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?
Step-by-step explanation:
We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.
We want to find the initial vertical velocity of the ball.
The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,
[tex]v=v_o +at[/tex]
Here, v = -6.5 m/s, t = 1.5 s and a = -g
[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]
So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).
(4x2 - 10x + 9) + (6x - 2) =
A) 4x2 - 4x + 7
B) 4x2 - 4x + 11
C) 4x2 - 16x - 7
D) 4x2 - 16x + 11
Answer:
4x^2−4x+7
Step-by-step explanation:
Let's simplify step-by-step.
4x^2−10x+9+6x−2
=4x^2+−10x+9+6x+−2
Combine Like Terms:
=4x^2+−10x+9+6x+−2
=(4x^2)+(−10x+6x)+(9+−2)
=4x^2+−4x+7
Answer:
=4x^2−4x+7
Answer:
A
Step-by-step explanation:
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
Step-by-step explanation:
Q1) r = 6 ft
Area of semicircle = πr²/2 = 6*6*3.14/2
Area of shape = 6*6*3.14/2 + area of the rectangle attached.
option 2
Q2) length of the arc = circumference of the circle /2
=2πr/2
= 2 * 3.14 * 6 /2
=12 * 3.14/2 ft
option 1
Corinne made a deposit of $6,000 into an account with a simple interest rate of 5%. How much interest will be in the account after 8 years?
Answer:
$8,864.73
Step-by-step explanation:
Base amount: $6,000.00
Interest Rate: 5% (yearly)
Effective Annual Rate: 5%
Calculation period: 8 years
Write 21 9/1000 in decimal form
Answer:
the answer in decimal form is 21.009
Answer:
= 21.009
Step-by-step explanation:
First change it to an improper fraction
= 1000 x 21 + 9
= 21009/ 1000
You then divide it by 1000 without leaving a remainder.
= 21.009
Traci tries to teach her younger sister how to draw a rectangle. Traci tells her." Draw a shape with four straight sides." Traci sister draws the shape shown. The drawing of the shape includes 4 straight sides, but it is not a rectangle. How can Traci make her directions more clear?
Answer:
Traci could say draw 2 long parellel sides one on top of another. Then draw 2 smaller sides to connect the long sides.
Step-by-step explanation:
someone please help :)
Answer: 25
Step-by-step explanation:
they are corresponding angles
What two numbers have a sum of 191 and a difference of 63
Answer:
Step-by-step explanation:
a+b=191
a-b=63
i sum these
a+b+a-b=191+63
2a=254
a=254/2
a=127
b=191-127
b=64
Answer:
127 and 64
Step-by-step explanation:
To solve this, we can set up a system of equations.
We can name the first number x and the second number y.
x+y=191
x-y=63
We can use elimination to eliminate the y variable.
We do this by adding the equations together
x+y=191
+ x-y=63
_________
2x=254
Divide both sides by 2.
x=127
Now we can plug that in to find y.
x+y=191
127+y=191
Subtract 127 from both sides.
y=64
So our two numbers are 127 and 64.
Justin earned $25.67 one week and $37.85 the next
week. He also purchased a DVD for $19.99 and gas for
his car for $22.07. He started with a zero balance in his
checking account. Justin recorded all of these
transactions in his checkbook and ended up with a
balance of $105.58. Was his balance correct? If it was,
write an equation to support the answer.
Answer:
No, Justin isn't correct
Step-by-step explanation:
Because Justin added everything even the money he spent, and when he spent the money meaning subtracting them, he should get $21.46.
($25.67+$37.85)-($19.99+$22.07)=$21.46
↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑
Money earned Money spend Money left
Thank you so very much for helping
Answer:
Angle 2
Step-by-step explanation:
They are 90 degrees when added together
Answer:
<2
Step-by-step explanation:
Complementary angles add to 90 degrees ( form right angles)
<1 and <2 add to 90 degrees so they are complementary angles
If a right triangle is rotated around one of its legs for 360 degrees, what three dimensional shape is produced?
Answer:
The shape of a cone
Step-by-step explanation:
If we rotate the right triangle for 360 degrees around one leg, we will have a shape of a cone (a conical shape).
the leg we choose to rotate around will be the height of the cone.
The other leg will be the radius of the cone's base.
And the hypotenusa of the right triangle will be the slant height of the cone.
I am thinking of two unique whole numbers
Their sum is 12
The larger number is even
Twice the smaller number less than the larger number equals 6
Answer:
10 and 2
Step-by-step explanation:
10+2=12
10 is even
2*2=4 10-4+6
Hope this helps ! :)
Francine has a piece of wood that is five 5 5/12 feet long she uses three 3 1/4 feet of the wood from a science project how much for just Francine have left.
Answer:
4/3 ft
Corrected question;
Francine has a piece of wood that is five 5/12 feet long she uses three 1/4 feet of the wood from a science project how much for just Francine have left.
Step-by-step explanation:
Given;
Francine has a piece of wood that is five 5/12 feet long.
Total amount of wood T = 5 × 5/12 ft = 25/12 ft
she uses three 1/4 feet of the wood from a science project.
Amount of wood Used U = 3 × 1/4 = 3/4 ft
The amount of wood left equals the total amount of wood minus the amount of wood used;
The amount of wood left L = T - U = 25/12 - 3/4
L = 25/12 - 9/12
L = 16/12
L = 4/3 ft
A rule for creating a pattern is given below. The rule begins with a number called the input and creates a number called the output.
Rule: Multiply the input by 666 to get the output.
Which input and output table works for the rule?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Input Output
000 666
(Choice B)
B
Input Output
111 777
(Choice C)
C
Input Output
222 121212
Answer:
None of input and output table work for the rule.
Step-by-step explanation:
Start with the numbers given at A, B,C.
According to the rule you need to multiply by 666 to get the output.
A 000 * 666 = 0 (=NOT the output)
B 111 * 666 = 73926 (=NOT the output)
C 222 * 666 = 147852 (=NOT the output)
None of input and output table work for the rule.
Answer:
c
Step-by-step explanation:
khan academy
What is the surface area?
10 cm
8 cm
10 cm
12 cm
10 cm
square centimeters
Step-by-step explanation:
surface area = (2*0.5*12*8) + (2*10*10) + (12*10)
= 96 + 200 + 120
= 416 cm^2
HELP ME I DON'T UNDERSTAND THIS :(
Answer:
c
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AD}{WZ}[/tex] = [tex]\frac{CD}{YZ}[/tex] , substitute values
[tex]\frac{10}{46}[/tex] = [tex]\frac{5}{YZ}[/tex] ( cross- multiply )
10YZ = 230 ( divide both sides by 10 )
YZ = 23 → c
A hair stylist charges $25.00 for a hair cut, plus an 8% sales tax rate. How much change will you receive is you pay $30.00
Answer:
You will get $3 back
mark me as brainliest pls
Step-by-step explanation:
$25 times 8%= 2
25+2=27
30-27=3
Answer:
$3
Step-by-step explanation:
25*.08=2
25+2=27
30-27=3
If angle AOC = 40 degrees, how many degrees is angle ABC?
80........................
Point N′(7, –8) is the image of point N(7, 8) under a reflection. What is the image of (–4, –10) under the same reflection?
Answer:
Image of the point (-4, -10) after reflection will be (-4, 10).
Step-by-step explanation:
Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).
Rule for the reflection over the x-axis is
(x, y) → (x, -y)
Under the same reflection or following the same rule rule,
(-4, -10) → (-4, +10)
Therefore, image of the point (-4, -10) after reflection will be (-4, 10)
Find the exact value of T Image below
T= (tan(2z)+1)(2 cos(z)-1)/ y^ 2 -x^ 2 , where x = 9 , y = 41 and z = 30 degrees
please explain
Answer:
a) 1/800 or 0.00125
b) i) 0.0013
ii) 0.001
c) 60%
Step-by-step explanation:
T = [tan(2×30)+1][2cos(30)-1] ÷ (y²-x²)
T = (tan60 + 1)(2cos30 - 1) ÷ (41² - 9²)
T = (sqrt(3) + 1)(sqrt(3) - 1) ÷ 1600
T = (3-1)/1600
T = 2/1600
T = 1/800
T = 0.00125
Error: 0.002 - 0.00125
0.00075
%error
0.00075/0.00125 × 100
60%