Answer:
x² - 4x = 21
x² - 4x - 21 = 0
x² - 7x + 3x - 21 = 0
x( x - 7 ) + 3 ( x - 7 ) = 0
( x + 3 ) ( x - 7 ) = 0
x + 3 = 0 and x - 7 = 0
x = -3 and x = 7
Circle O has a circumference of approximately 2507 ft.
What is the approximate length of the diameter, d?
40 ft
80 ft
125 ft
o
250 ft
Answer:
80 ft (b)
Hope it helps
Step-by-step explanation:
Circumference= π * diameter
Since the circumference is given..
250 = πd
d = 250/π
= 250/3.14
= 79.6
= 80 feet approx
Find the slope of the line that passes through (10, 8) and (1, 4).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Step-by-step explanation:
4-8 = -4
1-10 = -9
-4/-9 simplifies to 4/9
electricity has two different rates off peak is 10pm to 6am and charged at 8p per hour. peak is 6am to 10pm and is charged at 12p per hour. alison turns uses electricity from 8pm to 11:30 pm. what is the dost of her electricity for that period
Answer:
32p
Step-by-step explanation:
the times between 8pm and 11.30pm are:
8pm,9pm,10pm,11pm,11.30pm.
so, find the cost associated with each of them:
8pm: 12p
9pm: 12p
10pm: 12p
11pm:8p
11.30pm: 4p
sum:12+12+12+8+4 = 12 x 4 = 32p
show the relationship between the number of miles and the number of hours in the ratio 12 to 1
Answer:
The person has a speed of 12 miles per hour.
Step-by-step explanation:
The ratio is 12 miles to 1 hour.
This means, that in every hour, the person can move 12 miles and has a speed of 12 miles per hour.
If karri takes a 7 question true false test and guess on every question, what is the probability that she gets all 7 questions correct? Answer in decimal form to 4 decimal places.
The function f(x) is shown in the graph above
The function g(x) = -2x - 5
compare the slopes
A. The slope of f(x) is undefined and the slope of g(x) is negative
B. the slope of f(x) is the same as the slope of g(x)
C. The slope of f(x) is less than the slope of g(x)
D. The slope of f(x) is greater than the slope of g(x)
Answer:
B. the slope of f(x) is the same as the slope of g(x)
Step-by-step explanation:
B. the slope of f(x) is the same as the slope of g(x); that slope is m = -2.
Answer:
D ye
Step-by-step explanation:
x:28=1:8
Whats the answer eh
Answer:
Step-by-step explanation:
We can setup the equation as
x/28 = 1/8
Cross multiplying we get
8x = 28
Dividing by 8 we get
x = 28/8 = 7/2
£90 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as Gavin. How much does Mark get?
Answer:
Mark gets £54
Step-by-step explanation:
Let Gavin share=x
Henry=3x
Mark=2(3x)
x+3x+2(3x)=£90
x+3x+6x=£90
10x=£90
x=9
Gavin=x=£9
Henry=3x
=3(9)=£27
Mark=2(3x)
=2(3*9)
=2(27)
=£54
What is the probability of rolling 2 sixes in a row with a single die?
Answer:
i think it might be 0.5 over 6
Step-by-step explanation:
Answer:
1/36
Step-by-step explanation:
Because there are a total of 36 possibilities when rolling a dice twice (6x6) and out of that there is only one chance to get two sixes
help I know is easy but I don't know
Answer:
? = 2 sqrt(21)
Step-by-step explanation:
We can use the Pythagorean theorem to solve since this is a right triangle
a^2 + b^2 =c^2
?^2 + 4^2 = 10 ^2
?^2 + 16 = 100
Subtract 16 from each side
?^2 +16-16 = 100-16
?^2 = 84
Take the square root of each side
sqrt(?^2) = sqrt(84)
? = sqrt(4) sqrt(21)
? = 2 sqrt(21)
Answer:
[tex]? =9.16515139[/tex]
Step-by-step explanation:
→You can use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
→The "a," and "b," are the legs, and the "c," is the hypotenuse. In this case, we area already given the hypotenuse (10), and are solving for the leg. So plug in the numbers, like so:
[tex]4^2+b^2=10^2[/tex]
[tex]16 + b^2=100[/tex]
→Subtract 16 from both sides:
[tex]b^2 = 84[/tex]
→To get "b," by itself, square root both sides, like so:
[tex]\sqrt{b^2} = \sqrt{84}[/tex]
[tex]b = 9.16515139[/tex]
Write four rational numbers between a.2/3 and 4/5 b.-3/2 and 5/3
Answer:
a. 3/4, 7/9, 15/19, 31/39
b. -1, 0, 1, 4/3
Step-by-step explanation:
Pick any number that you can write into a fraction that lies between the 2.
PLEASE HELP WILL MARK BRAINLIEST
Graph the inequality below on the number line.
Answer:
open circle on negative 10 with the arrow going to the right. one trick is when the variable is on the left the inequality sign points to where the arrow will go and > is open circle > with a line under is closed circle
BRAINLIEST!
What is the measure of angle ABC?
Answer:
the measure of angle ABC is 73°
Step-by-step explanation:
This is inscribed angle and theorem says that its measure is 1/2 of intercepted arc
m∠ABC =1/2 m arcAC = 1/2 * 146°° =73°
Answer:
It is 180 degrees
~Hope this helps!!Stay safe~
One number is 5 more than twice another and their sum is 23.
Which of the following system of equations represents the word problem?
y= 2( x + 5) and x + y= 23
x + y = 23 and y= 2 x + 5
y=x+ 5 and y + 2(x+5) = 23
Answer:
x + y = 23 and y= 2 x + 5
Step-by-step explanation:
The number is 5 more than twice another so 2x + 5 = y
The two numbers have a sum of 23 so x + y = 23.
help!!!!! 50(1+0.05)7 what is the future amount=
Answer:
Brainliest goes to me!
Step-by-step explanation:
367.5
50(1.05)7
50 x 1.05 x 7 = 367.5
or
50 x 1.05^7 = 70.3550211328125
Answer:
[tex]70.36[/tex]
Step-by-step explanation:
[tex]50(1+0.05)^7[/tex]
[tex]50 \times (1.05)^7[/tex]
[tex]=70.355021[/tex]
5x 2 + 15x=0 is a quadratic equation.
True
False
Answer:
True
Step-by-step explanation:
A jar contains 56 quarters and pennies. The total value of the coins is $3.92. Which system of equations can be used to find p, the number of pennies, and q, the number of quarters?
Answer:
let x = the number of nickels
the number of pennies can be represented by (56 - x)
.05x + .01(56 - x) = 1.52
5x + (56 - x) = 152 if in the above line we multiply both sides of the equation by 100
4x + 56 = 152
4x = 96
x = 24
There are 24 nickels and 56 - 24 = 32 pennies
24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52
Step-by-step explanation:
how to find what is force if pressure and are is given please answer I will mark brainiest
Answer: Pressure and force are related, and so you can calculate one if you know the other by using the physics equation,
P = F/A. Because pressure is force divided by area,
its meter-kilogram-second (MKS) units are newtons per square meter,
or N/m2.
Autumn is working two summer jobs, making $16 per hour tutoring and making $12 per hour landscaping. In a given week, she can work no more than 17 total hours and must earn at least $240. If Autumn worked 3 hours landscaping, determine all possible values for the number of whole hours tutoring that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer:
13,14
Step-by-step explanation:
t = tutoring
l = landscaping
16t+ 12l ≥240
t+l ≤17
We know that she worked 3 hours landscaping
l =3
t+3≤17
t ≤14
16t+ 12*3 ≥240
16t + 36 ≥240
Subtract 36 from each side
16t ≥204
Divide each side by 16
t ≥204/16
t ≥12.75
We know that
12.75 ≤t≤14
She has to work whole hours
13,14
Given 4 coordinate points — A(2, 0), B(4, 0), C(5, –2), D(1, –2) â€" identify the figure showing a
rotation of 180Âabout the origin O.
Answer:
Option B
Step-by-step explanation:
First we would identify the coordinates of the points before they are rotated.
A(2, 0), B(4, 0), C(5, -2), D(1, -2)
Plot a graph with the coordinates.
We find that the figure appears in the fourth quadrant.
Find attached the diagram.
To rotate the figure obtained by 180° about the origin zero, we would change the signs of the coordinates to become opposite.
That is positive sign becomes negative and vice versa:
A(-2, 0), B(-4, 0), C(-5, 2), D(-1, 2)
This implies that we rotated the figure 90° twice. When this is done, the figure would appear in second quadrant.
Plotting the new coordinates on a graph would give option B.
Please help me with this it's really important
A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?
Answer:
There are 14 4-point questions and 26 2-point questions.
Step-by-step explanation:
m = number of 4-point questions
n = number of 2-point questions
m+n =40
4m + 2n =108
You can solve system by elimination:
Multiply the 1st equation by -4 and keep the 2nd equation the same.
−4(m+n=40) → -4m -4n= -160
4m+2n=108 add them up
-2n = -52 divide both sides by -2
n = 26
plug it back in to solve for m
m + n = 40 →m + 26 =40 subtract 26 to both sides
m = 14
Answer:
m=14, n=26
Step-by-step explanation:
what is the rule for the reflection?
Answer:
(x,y)→(x,−y)
Step-by-step explanation:
I did it before
PLZ HELP FAST!!! WILL GIVE BRAINLIEST!!! The linear function graphed below represents Tim’s age in the years since he was married. Which of these statements is correct? PLZ HELP FAST!!!
Answer:
C) The initial value is 32, and the rate of change is 1.
Step-by-step explanation:
This is the correct answer for edge
Type the integer that makes the following addition sentence true:
+ 83 = 19
Answer:
The answer is: -64
Step-by-step explanation:
To get the answer of -64, you would have to subtract. To subtract you would use this equation: 19 - 83. This would get you -64. To double check your answer, you would add -64 + 19 to make sure your answer is 83.
I would appreciate if you mark me as brainliest! :D
Diameter:
17 in
Radius:
Circumference:
What is the circumference of 17inches
What is the product 6(x^2-1)*6x-1/6(x-1) A)6(x-1)^2 B)6(x^2-1) C)(x+1)(6x-1) D)(x-1)(6x-1
Answer:
D
Step-by-step explanation:
(6x^2-6)×(6x-1)/(6x-6)
Simplify
U get (x+1)(6x-1)
Which expression has the least value?
A. 3(33)
B. 0 31-33)
C. 0-31-33)
D. 3(3-3)
Answer:
I think it is C but can't be sure because B isn't clear.
Step-by-step explanation:
If 2x - 9y = 14 and 6x = 42 +y, what is the value of the product xy?
Answer:
The product x time y is zero (0)
Step-by-step explanation:
Notice that you are given a system of two equations with two unknowns, so, let's proceed to find the unknowns by the method of substitution (easiest since it is very simple to find "y" in terms of 'x" from the second equation).
Then we use that expression to substitute for "y" in the first equation and solve for x:
[tex]6x=42+y\\y=6x-42\\Then:\\2x-9y=14\\can\,\,be\,\,written\,\,as:\\2x-9(6x-42)=14\\2x-54x+372=14\\-52x=-364\\x=(-364)/(-52)\\x=7[/tex]
Now we use this result in the substitution equation to find the value of "y":
[tex]y=6x-42\\y=6\,(7)-42\\y=42-42\\y=0[/tex]
Then, the product x times y is: 7 times 0 = 0
The product renders zero (0)
a food manufacturer recently developed a new preservative to extend the shelf life of its perishable food items. It makes two batches of the perishable items. The preservative is added only to the second batch. After some time, researcher compares the shelf life of the batches. which method is the researcher applying?
Answer:
The researcher is using the Experiment method
Step-by-step explanation:
Plato
Answer:
Experiment
Step-by-step explanation:
PLATO/Edmentum
I GOT IT RIGHT!!!
PLSS HELP ME THXS YOUUUUU!!!!!
Answer: Point A
Air pressure is essentially the weight of the air pressing down; it's greatest when there's the most air above, so at the lowest point, which is point A, elevation 1000 feet.