Answers
Answer:
x = 3.53 ( this may not be the exact number because my factoring is rusty)
Step-by-step explanation:
7x/(7x + 3) = (20x - 4)/(22x - 2)
7x(22x - 2) = (20x - 4)(7x + 3)
154x² - 14x = 140x² + 60x -28x -12
combine like terms & reduce:
14x² -46x - 12 = 0
divide by 2 to simplify:
7x² - 23x - 6 = 0
factor:
(7x + 1.7)(x - 3.53) = 0
x = 3.53
Related Questions
cuantas horas son de 7am a 7pm
Answers
40 of the cats at the pet store are black, which is 25% of all cats. How many cats are there at the pet store
Answers
Answer:
There are 160 cats at the store.
Step-by-step explanation:
There are 40 black cats, which is 25% of all the cats. You are trying to find all the cats at the store, or 100% of the cats at the store. So:
40 = 25%
40(4) = 25% (4)
160 = 100%
There are 160 cats at the store.
Answer:
160
Step-by-step explanation:
25%=1/4=0.25
=40×4
=160
In the cylinder, the radius of the circular base is 3.5 centimeters, and the height of the cylinder is 11 centimeters. The volume of the cylinder is
Answers
Answer:
33.69[tex]\pi[/tex] or 105.83
Step-by-step explanation:
Volume for a cylinder is
V= [tex]\pi r^{2}h[/tex]
we need to find the radius from the base
B = 2[tex]\pi[/tex]r
B= 3.5/2 = 1.75
V =[tex]\pi 1.75^{2}*11[/tex]
V = 33.69[tex]\pi[/tex] or 105.83 depending if you want it in pi for or not
PLEASE HELP ASAP
trigonometry
Answers
Answer:
5). x = 11.9°
6). x = 27.2°
Step-by-step explanation:
5). By applying cosine rule in the given triangle,
cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(32)° = [tex]\frac{x}{14}[/tex]
x = 14cos(32)°
x = 11.87
x ≈ 11.9°
6). By applying sine rule in the given triangle,
sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(54°) = [tex]\frac{22}{x}[/tex]
x = [tex]\frac{22}{\text{sin(54)}}[/tex]
x = 27.19°
x ≈ 27.2°
Factorise the expressions.
Answers
Answer:
Q.1 lx²+mx
=x(lx+m)
Q.2 x² - ax - bx + ab
= x(x - a) - b(x - a)
=(x - b)(x - a)
Q.3 6ab - b²+ 12ac - 2bc
= b(6a - b) - 2a(6a - b)
=(b - 2a)(6a - b)
Suppose you are to select a password of size 4. The first character should be any lowercase letter or a digit, while the second should be a non-zero digit. The third should be any lower case letter, and the fourth should be any lowercase letter, which is different from the third. b. Consider a group of ten students, and six of them are boys. A committee of 3 students is expected to select from the above group. How many committees can you select with at least two girls
Answers
First question seems incomplete :
Answer:
40 ways
Step-by-step explanation:
Question B:
Number of boys = 6
Number of girls = 4
Number of people in committee = 3
Number of ways of selecting committee with atleast 2 girls :
We either have :
(2 girls 1 boy) or (3girls 0 boy)
(4C2 * 6C1) + (4C3 * 6C0)
nCr = n! ÷ (n-r)!r!
4C2 = 4! ÷ 2!2! = 6
6C1 = 6! ÷ 5!1! = 6
4C3 = 4! ÷ 1!3! = 4
6C0 = 6! ÷ 6!0! = 1
(6 * 6) + (4 * 1)
36 + 4
= 40 ways
What is the volume of a sphere that has a radius that measures 3 feet?
Answers
Answer:
About V≈113.1ft³
Step-by-step explanation:
Amy’s watch loses time at the rate of 3 minutes every 5 days. Fine the number of days before the watch loses one hour or time
Please note that this is directly proportional applications and the formula is output unit/input unit times input unit
Answers
Answer:
100 daysStep-by-step explanation:
3 min loss ⇔ 5 days60 min loss ⇔ x daysCross multiply and solve for x:
3x = 5*603x = 300x = 300/3x = 100 daysSolve: 64-3x-3 .64+22=38
Answers
4.0/5
136
The answer is x = -8/9.
Hope you have a good rest of your day. :)
Answer:
B. [tex]x=-\frac{8}{9}[/tex]
Step-by-step explanation:
edge 2021
:) Good luck, loves!
Please any help i need it now please
i will mark you brill
Answers
Answer:
(x+2.25) ×24
This is how it is written
Answer:
Step-by-step explanation:
y = 24*(x + 2.25)
There, that's an algebraic expression for 24 times the sum of a number and 2.25.
Express $112 for 14 hours as a unit rate.
A. O $11/hr
B. O $112/week
C. O $8/hr
D. O $9/hr
Answers
Answer:
52
Step-by-step explanation:
hmm
Answer: C. O $8/hr
Step-by-step explanation:
To solve this, we divide 112 by 14.The answer is 8.
Jessica has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of 15 cm, a width of 6.4 cm, and a height of 8 cm. What is the volume of the purse?
Answers
The number of minutes, m, of exercise, and the number of calories, c, burned during exercise. What is the independent variable?
Answers
Answer:
number of minutes
Step-by-step explanation:
!MAGOR HELP!
Question and answers are in the pic
Answers
Need help with these math problems
Answers
Answer:
1. 34 sq.m.
2. 21 sq.m
3. A square pyramid has 1 square base and 4 triangular faces.
a. 36 square centimeters
b. 48 square centimeters
c. 84 square centimeters
4. a. 248 square centimeters
b. 1240 square centimeters
5. 140.8 square centimeters
Is the expression 6(1 + m) equal to 6 + 6m? Why or why not? How do you know?
Answers
Answer:
Yes, they are equal because of distributive property
Step-by-step explanation:
6(1 + m) = 6 + 6m
Hi please help me i will mark as brainiest just please help!
Answers
Answer:
B
Step-by-step explanation:
Kahlil wants it to be more than 10 seconds long, and his friend wants it 5 seconds longer than that. So it has to be at least 10 + 5 seconds long or 15 seconds. B is the only option with >15, and all the possible track lengths below satisfy the inequality.
Which of the following examples has a unit rate of 70 miles per hour? Select all
that apply.
A) 210 miles in 3 hours
B) 420 miles in 6 hours
C) 280 miles in 5 hours
D) 560 miles in 8 hours
E) 560 miles in 7 hours
Answers
Answer:
A, B and D are the answers.
Answer:
A, B, D.
Step-by-step explanation:
Line a is parallel to line b. If the
measure of Z2 is 78°, what is the
measure of Z8?
78° =21
314
615
78
b
Answers
This is because alternate exterior angles are congruent when we have parallel lines like this.
Angle 2 and angle 8 are both outside the parallel lines, so that's what makes them exterior angles. Also, they are on alternating sides of the transversal line (angle 2 on the left, angle 8 on the right). So that's where the "alternating" comes from. The other pair of alternate exterior angles is angle 1 and angle 7.
Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of time required for bodily absorption of brand A and brand B headache remedies. Twelve people were randomly selected and given an oral dose of brand A and another 12 people were randomly selected and given an oral dose of brand B. The lengths of time in minutes for the drugs to reach a specified level in the blood were recorded. The mean and standard deviation for brand A was 21.8 and 8.7 minutes, respectively. The mean and standard deviation for brand B was 18.9 and 7.5 minutes, respectively. Past experience with the drug composition of the two remedies permits researchers to assume that both distributions are approximately Normal. Let us use a 5% level of significance to test the claim that there is no difference in the mean time required for bodily absorption.
Required:
Find or estimate the p — value of the sample test statistic.
Answers
Answer:
[tex]t = 0.875[/tex]
Step-by-step explanation:
Given
Brand A Brand B
[tex]n_ 1= 12[/tex] [tex]n_2 = 12[/tex]
[tex]\bar x_1 = 21.8[/tex] [tex]\bar x_2 = 18.9[/tex]
[tex]\sigma_1 = 8.7[/tex] [tex]\sigma_2 = 7.5[/tex]
Required
Determine the test statistic (t)
This is calculated as:
[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]
Calculate s using:
[tex]s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}[/tex]
The equation becomes:
[tex]s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}[/tex]
[tex]s = \sqrt{\frac{1451.34}{22}}[/tex]
[tex]s = \sqrt{65.97}[/tex]
[tex]s = 8.12[/tex]
So:
[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * 0.408}}[/tex]
[tex]t = \frac{2.9}{3.31296}}[/tex]
[tex]t = 0.875[/tex]
Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 80 feet. His back yard has a length of 20 feet and a width of 30 feet. How many square feet of sod does Jayden need to purchase? OA. 4,300 square feet OB. 4,600 square feet OC. 2,600 square feet OD. 4,150 square feet
Answers
Answer:
4,300 square feet
Step-by-step explanation:
First, calculate the area of Jayden's front yard.
50 feet × 80 feet = 4,000 square feet
Next, find the area of half of Jayden's back yard.
1/2(20 feet × 30 feet) = 300 square feet
Last, add the two areas together.
4,000 feet + 300 feet = 4,300 square feet
So, Jayden needs to purchase 4,300 square feet of sod
How much would you need to deposit in an account now in order to have $2000 in the account in 15
years? Assume the account earns 2% interest compounded monthly.
Answers
4000 mcmcnxmamnxmxmnxnxns
Kia donated a $20 bill plus 1 of
the balance in her short-term savings
account to a medical fundraiser. If Kia
donated a total of $100, how much was
in her short-term savings account?
Answers
$100 - $20 = $80
Understand?
Can please someone help with this two problems?
Answers
Answer:
A and C
Step-by-step explanation:
20) Since the triangles are similar, you can say that 98 corresponds to 42 and 77 corresponds to 3x+6, because of this you can write an equation ((98/77)(3x-6) =42) and then simplify to get x = 13.
21) Since ABC and DFE are similar, we can say that 2x+2 corresponds to x+3 and 24 corresponds to 16. You can write this as the equation (24/2x+2)(x+3) = 16 and simplify to get x=5.
I hope this helps :)
Solve | 2x - 6 | = |x| by graphing
Answers
Answer:
X=2 & X=6
Step-by-step explanation:
If you graph the equation (I recommend using desmos) you can see that X equals 2 & 6.
giving brainliest !! *easy*
Answers
One spring day, Jin noted the time of day and the temperature, in degrees Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 56° F. For the next 5 hours, the temperature rose 1° per hour. For the next 4 hours, it rose 2° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 1° per hour. The temperature then dropped steadily until the temperature was 62° at midnight. On the set of axes below, graph Jin's data.
Answers
Answer:
This is how the graph will look like because I don't have a graph that why I use a note
Step-by-step explanation:
At 6am it is 56°.For the next 5hours it increases to 61° since it is 1° per hour and after 4 hours again it will increase to 69° because it is 2° per hour and it stayed steady till 6pm and it dropped the next 3 hours which the temperature now reduces to 66° and dropped steadily to 62° at midnight
The temperature variations is represented on the graph attached with the answer.
What is graph?A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
At 6am it is 56°.For the next 5hours it increases to 61° since it is 1° per hour and after 4 hours again it will increase to 69° because it is 2° per hour and it stayed steady till 6pm and it dropped the next 3 hours which the temperature now reduces to 66° and dropped steadily to 62° at midnight
To know more about Graph follow
https://brainly.com/question/4025726
#SPJ2
Adam is comparing the graphs of y=4x and y=8x. Which of the following statements is TRUE?
Answers
hi good day plss help me plssssssssss i need yoyre help now plss
Answers
Answer:
6.c 7.c 8. b 9. a 10. a
Step-by-step explanation:
6=c as 39.10-19.56
7. 89.2-78.6
8. 8.03-5.1
9. 40.98-15.6
10.55.6-47.5
Answer this ASAP the last question that due 5 minutes
Answers
Answer:
C
Step-by-step explanation:
If you graph the points, count boxes from the orgin (0,0).
You will have to go 3 to the right (on x), and up 6 (on y).