Answer:
the constant term of the expression represents the difference between Shelly and Terrence points.
What is the justification for step 2 in the solution process? 12 − x = 7x + 32 Step 1: -x = 7x + 20 Step 2: -8x = 20
A. the division property of equality
B.the addition property of equality
C. the subtraction property of equality
D. the multiplication property of equality
Answer:
C. the subtraction property of equality
Step-by-step explanation:
given
12 − x = 7x + 32
Subtract 12 from each side using the subtraction property of equality
Step 1: -x = 7x + 20
Subtract -7x from each side using the subtraction property of equality
Step 2: -8x = 20
factorise [tex]x^{2} + 11x[/tex]
Answer:
x(x+11)
Step-by-step explanation:
x^2+11x
Factor out x
x*x+11x
x(x+11)
A book sold 31,500 copies in its first month of release. Suppose this represents 8.9% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.
Answer:
35,393,258
Step-by-step explanation
[tex]\frac{31,500}{x} =\frac{0.089}{100}[/tex]
[tex]0.089x=3,150,000[/tex]
[tex]x= 35,393,258.427[/tex]
Rounded to the nearest whole number, that is 35,393,258.
Mark all the statements that are true please help
Step-by-step explanation:
the correct answer is option c
How many liters of a 35% salt solution must be mixed with 20 liters of 70% salt solution to obtain a solution that is 45% salt? What is the equation?
Answer:
.35 x + .70 (20) = .45(x+20)
50=x
Step-by-step explanation:
Let x = liters of 35% salt solution
We have 20 liters of 70%
We have a total of 20+x liters of 45%
.35 x + .70 (20) = .45(x+20)
Distribute
.35x + 14 = .45x +9
Subtract .35x from each side
14 = .10x +9
Subtract 9 from each side
5 = .10x
Divide each side by .1
5/.1 = x
50=x
Find the slope of the line through each pair
A.) (8, -7) and (5, -3). B.) (-5, 9) and (5, 11).
C.). (-8, -4) and (-4, -9).
Show your work.
Answer:A) -4/3 B) 1/2 C) -5/4
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
For A) let (x1, y1) = (8, -7), (x2, y2) = (5, -3)
Slope = (-3 -(-7)) / (5 - 8) = 4/-3
For B) let (x1, y1) = (-5, 9), (x2, y2) = (5, 11)
Slope = (11 - 9) / (5 - (-5)) = 2/10 = 1/2
For C) let (x1, y1) = (-8, -4), (x2, y2) = (-4, -9)
Slope = (-9 -(-4)) / (-4 - (-8)) = -5/4
can anyone help me with this?
Answer:
Step-by-step explanation:
a + 45 + 70 = 180 45 becomes an interior angle by being opposite a given vertically opposite angle.
a + 115 = 180 Subtract 115 from both sides
a = 65
b + 68 + 65 = 180 A straight line is 180 degrees.
b + 133 = 180
b = 180 - 133
b = 47
In the triangle b + c + 100 = 180
b = 47
47 + c + 100 = 180
147 + c = 180
c = 33
If C is an exterior angle then C + 33 = 180
C = 147
You have to decide whether c is an interior angle ( in which it is 33) or an exterior angle (in which case it is 147).
Find the equation of the linear function represented by the table below in slope-intercept form.
Helpp plzz
Answer:
Let's first find the slope.
-13 - (-8) / 2-1
-5/1
-5
The slope is -5.
The y intercept, or where the line crosses the y=axis, is equal to -3.
So, the equation is y=-5x-3
Let me know if this helps!
Find the total surface area.
8 km
4 km
3.9 km
2 km
8 km
Answer:
71.2 km²
Step-by-step explanation:
Triangles: 1/2(8)(3.9)=15.6 (2 of them - front and back)
Base: 8x2=16
Side: 4x2=8
Slant:8x2=16
15.6+15.6+16+8+16=71.2
please help!! will give brainliest
Answer:
In this question, since order doesn't really matter, we can consider cats and dogs to be the same thing.
So there are a total of 11 animals (5+6).
The first animal can be placed in 11 places.
The second animal can be placed in 10 places.
The third animal can be placed in 9 places.
.
.
.
The eleventh animal can be placed in 1 place. (the last spot, whatever that is)
So this question becomes fairly simple, it's just 11 factorial, which can be written as 11!, or 39916800.
Let me know if this helps!
3.7 as a mixed number
Answer:
[tex]3\frac{7}{10}[/tex]
Please tell me if I'm wrong, and maybe consider brainliest if it's correct of course.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Data should be analyzed using each of the following except:
A. measures of central tendency
B. shape
C. population size
D. spread
C. Examine the hourglasses (A), (B), and (C) and
find the best answer.
6
(A)
(B)
.(C)
6
a) (B) shows the most time passed.
b) (A) shows the most time passed.
c) (C) shows the most time passed.
d) (A), (B), and (C) show the same time passed.
6
Answer:add a screenshot
Step-by-step explanation:
I can't see the our glasses
Find the value of x.
B
10-X
3
D
х
2.
A
С
x = [?]
Answer:
3/(10-x) = 5/(10-x+x)
3/(10-x) = 1/2
6 = 10-x
x = 4
Hope this helps!
Write and solve an equation
Pang drove to his mother's house to drop off her new TV.
He drove at 50 miles per hour there and back, and spent 10 minutes dropping off the TV
The entire journey took him 94 minutes. How far away does his mother live?
Answer:
70 miles
Step-by-step explanation:
Subtracting ten minutes from the elapsed time 94 minutes tells us that the travel (at constant average speed) took 84 minutes. We convert 84 minutes to 84/60 hour.
distance = rate•time = 50 mi/hr (84/60 hour) = 50(1.4) = 70 miles
6=m/8 whats does m equal?
Answer:
m=48
Step-by-step explanation:
━━━━━━━☆☆━━━━━━━
▹ Answer
m = 48
▹ Step-by-Step Explanation
Rewrite:
m/8 = 6
Use the inverse operation:
8 * 6 = 48
m = 48
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 18% of the time. A random sample of 7 parts produced by this machine is chosen. Find the probability that more than 1 of these parts are defective.
Using the binomial distribution, it is found that:
0.3677 = 36.77% probability that more than 1 of these parts are defective.
-----------------
For each part, there are only two possible outcomes. Either they are defective, or they are not. The probability of a part being defective is independent of any other part, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of a success.
At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 18% of the time.
This means that [tex]p = 0.18[/tex]
A random sample of 7 parts produced by this machine is chosen.
This means that [tex]n = 7[/tex]
Find the probability that more than 1 of these parts are defective.
This is:
[tex]P(X \geq 1) = 1 - P(X < 1)[/tex]
In which
[tex]P(X < 1) = P(X = 0) + P(X = 1)[/tex]
Thus
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.18)^{0}.(0.82)^{7} = 0.2493[/tex]
[tex]P(X = 1) = C_{7,1}.(0.18)^{1}.(0.82)^{6} = 0.3830[/tex]
Then
[tex]P(X < 1) = P(X = 0) + P(X = 1) = 0.2493 + 0.3830 = 0.6323[/tex]
[tex]P(X \geq 1) = 1 - P(X < 1) = 1 - 0.6323 = 0.3677[/tex]
0.3677 = 36.77% probability that more than 1 of these parts are defective.
For more on the binomial probability distribution, you can check https://brainly.com/question/15557838
Which of the following could be the value of xy if y = 7and x>7?
Answer:
Any number greater than 49.
Step-by-step explanation:
Since 7>0 then multiplying both sides of x>7 by 7 will not effect the direction of the inequality.
If x>7, then 7x>7(7) or 7x>49 after simplifying.
Substituting y for 7 since y=7 gives yx>49.
By commutative property of multiplication we have xy>49.
So any number greater than 49.
Please help with 6 and 7
Answer:
6a) i- 2hrs 36mins ii- 3hrs 12mins
b) car A≈ 76.9km/h car B≈ 62.5km/h
c)------
7a) 35km
b) car A=75km car B=60km
c) 30km
d) car A≈36mins car B≈48mins
Step-by-step explanation:
6a) Using the graph follow the lines until they finish then go downwards until you get to the x-axis. The x-axis is going up by 12mins for each square.
b) Using the answer from a, you divide 200km by the time.
For car A 2hrs 36mins becomes 2.6 because 36mins/60mins=0.6
∴ car A: 200/2.6≈ 76.92km/h
For car B 3hrs 12mins becomes 3.2 because 12mins/60mins=0.2
∴ car B: 200/3.2≈ 62.5km/h
7a) Using the graph go down from where the line of car A finished to meet car B. The y-axis is going up by 5km for each square.
b) Starting from the x-axis at 1 hour go upwards to see where you meet the car B line (60km) and car A line(75km). (sorry if that does not really make sense).
c) Difference from car A line to car B:
155km-125km=30km
d) Going across from 50km meet car A line and go down to see it has been travelling for approx. 36mins. Then continue across to car B line, go down to see it reached 50km at approx. 48mins.
Hope this helps.
SP=2x+3, and LN=5x−14. Find SP.
Answer:
43
Step-by-step explanation:
Using Thales theorem:
● SP/LN = RP /RN
Notice that RN = 2×RP
● SP/LN = RP/2RP
● SP /LN = 1/2
● SP / (5x-14) = 0.5
● (2x+3)/(5x-14) = 0.5
● 2x+3 = 0.5(5x-14)
● 2x+3 = 2.5x -7
Add 7 to both sides
● 2x+3+7 = 2.5x-7+7
● 2x+10 = 2.5x
Sustract 2x brom both sides
● 2x+10-2x = 2.5x-2x
● 10 = 0.5x
Multiply both sides by 2
● 10×2 = 0.5x×2
● 20 = x
Replace x with 20 in Sp expression:
● SP = 2x+3
● SP = 2×20+3
● SP = 43
Hiiii can you help me ?
Answer:
842, 743, 394, 305, 836
Step-by-step explanation:
We arbitrarily chose the ones digit to start with as 2. (It must be 5 or less.) The other two digits are chosen by a random number generator, as shown in the attached.
The 5 three-digit numbers we chose are ...
842, 743, 394, 305, 836
Answer:
The only criteria the question gives are that there must be 5 numbers, and the numbers must have 3 digits. The ones digit in the numbers should go up by 1.
So, we can have 111, 112, 113, 114, and 115.
Hope this helps!
If x = 7, what is the value of 4(x - 5)
Answer:
8
Step-by-step explanation:
Because if x=7 then it would be 7-5 which equals 2 then you would times 2 and 4 together which equals 8 then you would have your answer which is 8.
Answer:
its 8
Step-by-step explanation:
x= 7
so replace the x with the value of 7
4(7-5)
7 minus 5 is 2
4·2
4 multipied by 2 is 8
so the answer is 8
The sum of two numbers must be 24 or greater. The product of the two numbers must be less than 60. Which system of inequalities represents this situation?
A
{x+y≥24xy<60
B
{x+y>24xy<60
C
{x+y≥24xy<60
D
{x+y>24xy<60
Answer:
A
Step-by-step explanation:
The sum means +, 24 or greater means ≥ 24
The product means multiplying. less than 60 means < 60
I don't really know how else to explain, so if you still don't understand, sorry.
I hope this helps!
pls ❤ and mark brainliest pls!
john is 15 years old. john's mom takes him and his younger soster to a football game. tickets are $22 for adults and $16 for children (18 and under). what is the total cost of thr tickets?
Answer:
$38
Step-by-step explanation:
cost of ticket for adult = $22
cost of ticket for youngster = $16
______________________________
cost of ticket for John's mom = $22 as she is adult
cost of ticket for john = $16 as he is young , his age is less than 18 years
Total cost of ticket for John and his mother = $22 + $16 = $38
A gray crayon is made with 5 mL of black wax for every 6 mL of white wax
Which of the following wax mixtures will create the same shade of gray?
choose 2 answers:
A 10 mL of black wax mixed with 24 mL of white wax
B 15 mL of black wax mixed with 18 mL of white wax
C 35 mL, of black wax mixed with 42 mL of white wax
D 20 mL of black wax mixed with 26 mL of white wax
E 45 mL of black wax mixed with 48 mL of white wax
Answer:
B and C
Step-by-step explanation:
The ratio of black to white is 5:6
The only mixtures that have this ratio is B and C
PLEASE HELP QUICK, WILL MARK BRAINLIEST!
Solve for x: −6 < x − 1 < 9
5 < x < 10
−5 < x < 10
−5 > x > 10
5 > x > −10
Answer:
−5 < x < 10
Step-by-step explanation:
−6 < x − 1 < 9
Add 1 to all sides
−6+1 < x − 1+1 < 9+1
−5 < x < 10
Answer:
B
Step-by-step explanation:
Add one to everything
-5 < x < 10
Best of Luck!
Point C is on the midpoint of a section of highway, represented by AB. If AB = 32 miles,
AC = 4x miles, and CB = 12 + x miles, explain three different ways
that
you
could
solve for x.
To solve this question, we need to understand the concept of midpoint.
Doing this, we get that x is equals to 4 miles., and we find it using each of these three ways:
[tex]AC = CB[/tex][tex]AC = \frac{AB}{2}[/tex][tex]CB = \frac{AB}{2}[/tex]Segment:
C is the midpoint of the segment AB, which means that:
The distance of the initial point A to the midpoint C is the same as the distance of the midpoint C to the final point B.
[tex]AC = CB[/tex]
The distance of the midpoint to one of the endpoints is half the total distance, that is:
[tex]AC = \frac{AB}{2}[/tex]
[tex]CB = \frac{AB}{2}[/tex]
Solution:
We have to solve for x, considering one of the three relations.
Considering:
[tex]AC = 4x, CB = 12 + x[/tex]
[tex]AC = CB[/tex]
[tex]4x = 12 + x[/tex]
[tex]4x - x = 12[/tex]
[tex]3x = 12[/tex]
[tex]x = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
The solution for x is x = 4 miles.
A similar question is found at https://brainly.com/question/24114584
Ava's car used 6 gallons of gas to drive 132 miles. At what rate does her car use gas in gallons per mile? Express your answer in simplest form.
Answer:
Rate of gas in gallons per mile
= 0.045454545 gallon/mile
Or
Rate of gas in gallons per mile
= 1/22 gallon/mile
Step-by-step explanation:
Ava's car uses 6 gallons of gas to drive through a distance of 132 miles.
Thanks rate of gallon to distance will be given by the formula below
Rate of gas in gallons per mile
=Number of gallons/ distance covered in miles
Rate of gas in gallons per mile= 6/132
Rate of gas in gallons per mile= 1/22
Rate of gas in gallons per mile
= 0.045454545 gallon/mile
helphelphelphelphelphelp
Answer:
E - (8,-9)
F - (9,-9)
G - (9,-4)
Step-by-step explanation:
The first number in the bracket relates to the x-axis
The second number relates to the y-axis
A net that can be folded into a rectangular prism.
This net could be folded to form a .
This figure will have faces, edges, and vertices.
Answer:
rectangular pyramid, 5, 8,5
Step-by-step explanation:
Answer:
✔ rectangular pyramid
This figure will have
✔ 5
faces,
✔ 8
edges, and
✔ 5
vertices.
the person above is correct