Answers
Answer:
[tex]\boxed{\sf{x=24}}[/tex]Step-by-step explanation:
GIVEN:
To find the missing number in the proportion, you have to isolate it the term of x from one side of the equation.
[tex]\sf{\dfrac{8}{7}=\dfrac{x}{21} }[/tex]
First, thing you do is switch sides.
[tex]\sf{\dfrac{x}{21}=\dfrac{8}{7} }[/tex]
Multiply by 21 from both sides.
[tex]\Longrightarrow: \sf{\dfrac{21x}{21}=\dfrac{8*21}{7} }[/tex]
Solve.
Multiply the numbers from left to right.
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract[tex]\Longrightarrow: \sf{\dfrac{8*21}{7}=\dfrac{168}{7}=24 }[/tex]
[tex]\Longrightarrow: \boxed{\sf{x=24}}[/tex]
Therefore, the final answer is x=24.I hope this helps. Let me know if you have any questions.
Related Questions
An object was launched from the ground. The graph below shows the path that the object took. Use the graph to answer questions 9-10.
What is the domain?
What is the range?
Answers
Answer:
See below ~
Step-by-step explanation:
Domain
Range of x values in the graphIt is from 0 to 4⇒ 0 ≤ x ≤ 4Range
Range of y values in the graphIt is from 0 to 64⇒ 0 ≤ y ≤ 64Answer:
range is 4 domain is 64 i think
Step-by-step explanation:
If the discriminant is negative, you will have....
1) two irrational solutions
2) no solution
3) two real solutions
4) one solution
Answers
Answer:
Hi mate I got you
Step-by-step explanation:
A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.
A negative discriminant indicates that neither of the solutions are real numbers.
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
PLEASE HELP ME!!!!! GIVING (17 POINTS)
Answers
Answer:
61.) A, B, A
62.) 120 minutes
Step-by-step explanation:
61.) 48 is a multiple of 6. A multiple is a number which can be fully divided into another number (divded without remainder). Therefore, 48 is a multiple of 6 because 6 * 8 = 48 meaning that 48/6 would equal 8. Because there is no remainder, Carly can put the beads into 6 equal groups.
62.) This is a simple conversion problem. Since they are asking the amount of minutes, you need to convert 2 hours to minutes. You do not need to calculate it or set up a formula because there are 60 minutes in one hour, therore, in 2 hours there are 120 minutes (60 minutes + 60 minutes).
Are you getting enough sleep? Many kids aren’t getting enough sleep, and TV might be part of the problem. Among 2002 randomly selected 8- to 18-year-olds in the United States, 71% had a TV in their bedroom. What is the lower boundary of our confidence interval at the 99% level?
a. 6547
b. 6714
c. 6677
d. 6839
Answers
Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:
d. 68.39%.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The sample size and estimate are given by:
[tex]n = 2002, \pi = 0.71[/tex]
Hence, the lower bound is given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.71 - 2.575\sqrt{\frac{0.71(0.29)}{2002}} = 0.6839[/tex]
Hence the lower bound is of 68.39%, which means that option D is correct.
More can be learned about the z-distribution at https://brainly.com/question/25890103
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A researcher estimates that a fossil is 3200 years old. Using carbon-14 dating, a procedure used to determine the age of an object, the researcher discovers that the fossil is 3600 years old.
Find the percent error
What other estimate gives the same percent error
Answers
Answer:
11.1%
Step-by-step explanation:
% error = [(3600-3200)/3600] * 100
= 11.1%
The area of the figure is
square units.? (HELP NOWWW) (PLS AND TY!!)
Answers
Answer:
I think it's 50....
Step-by-step explanation:
I added 21 for the base plus 9 for one side, 8 for the other side plus another 9 for the top and added 3
So 21 + 9 + 8 + 9 + 3 = 50
I hope it's right
Ed buys a box of eggs costing £1.90, two packs of bacon for £3.10 each and two tins of baked
beans.
He pays with a £10 note and gets 50p change.
How much does a tin of beans cost in pounds
Answers
Answer:
tin of beans = .70 pound
Step-by-step explanation:
10 = 1.90 + 2 * 3.10 + .50 + 2b
b = .70
find the rule
5. 11
6. 13
8. n
10. 21
Answers
Answer:
n = 17
Step-by-step explanation:
Method 1The difference between the 5th and 6th terms is 13 - 11 = 2
Therefore, the next term can be found by adding 2 each time.
If we continue with this sequence, we get:
5 = 11
6 = 13
7 = 13 + 2 = 15
8 = 15 + 2 = 17
9 = 17 + 2 = 19
10 = 19 + 2 = 21
So n = 17
-------------------------------------------------------------------------------------
Method 2Arithmetic sequence
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven terms of the sequence:
[tex]a_5=11\\a_6=13\\a_8=n\\a_{10}=21[/tex]
The common difference can be found by subtracting one term from the next term:
[tex]d=13-11=2[/tex]
To find a, substitute the found value of d into the equation for one of the given terms:
[tex]\begin{aligned}a_5 =a+(5-1)2 & =11\\ a+8 & =11\\ a & = 3\end{aligned}[/tex]
Therefore, the formula to find the nth term is:
[tex]\implies a_n=3+(n-1)2[/tex]
[tex]\implies a_n=2n+1[/tex]
So, the 8th term is:
[tex]\implies a_8=2(8)+1=17[/tex]
Lets form a equation
(5,11)(6,13)Slope:-
m=13-11/6-5=2Equation:-
y-11=2(x-5)So
Put x=8
n-11=2(8-5)n-11=2(3)n-11=6n=17An apartment building contains 100 units. The one-bedroom units rent for $600 per month. When all the units are rented out, the total monthy rent paid by the tenants is $55,275. How many two-bedroom apartments are there?
O 45
O 66
O 55
O 50
Answers
Answer:
55
Step-by-step explanation:
Let x represent the number of one bedroom units and y represent the number of two bedroom units.
Since the apartment building contains 100 units:
1) x + y = 100
The total monthly rent paid by the tenants is $55,275, so:
2) 495x + 600y = 55275
Solving equation 1 and 2 gives:
x = 45, y = 55
So, there are 55 two-bedroom units in the apartment.
A movie distributor found that the relationship between the amount it spends on advertisements for a particular movie and the amount of money the movie takes in can be modeled by the equation y = 1.2x + 24, where x is the amount spent on advertisements in millions of dollars and y is the amount taken in by the movie in millions of dollars. According to the model, how much should the movie distributor spend on advertisements if it wants the movie to take in $36,000,000?
A $10,000,000
B $20,000,000
C $30,000,000
D $50,000,000
Answers
Answer:
i believe the answer is B, im not 100% though
Step-by-step explanation:
Lisa makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend babysitting that weekend?
Answers
Answer:
11 Hours
Step-by-step explanation:
Let's say Lisa makes x hours babysitting and y hours giving music lessons.
Because she worked a total of 18 hours, we know that x + y = 18.
5 * x is how much money she earns babysitting for x hours, while 12 * y is how much money she earns giving music lessons for y hours. Adding them up gives her total revenue:
5x + 12y = 139
We now have a system of equations. Let's multiply both sides of x + y = 18 by 12:
12 * (x + y) = 18 * 12
12x + 12y = 216
Now, subtract 5x + 12y = 139 from 12x + 12y = 216:
12x + 12y = 216
- 5x + 12y = 139
_________________
7x + 0y = 77
Divide both sides by 7:
x = 11
Thus, Lisa spent 11 hours babysitting.
Answer:
11 hours baby sitting and 7 hours music lessons
Step-by-step explanation:
you have to solve:
x + y = 18
and
5x + 12y= 139
assuming that x is the total hours of baby sitting and y is the total hours of music lessons
Natalie just rented an apartment for $900 a month for the first year. She was told that the rent will increase by $50 each year. About how much will her rent be in the 7th year
Answers
Answer:
The correct answer is $75,900.
Step-by-step explanation:
Select the place where the digit 6 sits in this number. 607,182
Answers
Answer:
Hundred Thousand
Step-by-step explanation:
Hundred Thousand
I hope it helped you
Answer:
Hundred thousand
Step-by-step explanation:
The digit 6 is in the hundred thousand place.
To understand place values, see the attached file.
[tex]\rule[225]{225}{2}[/tex]
You are analyzing the survey results tabulated below. The first survey question (yes/no) is whether the respondent is over 40, and the second survey question (low-cal, regular) is whether the respondent prefers your low-cal butter or the regular.
Answers
Answer:
Step-by-step explanation:
PLEASE CHOOSE CORRECT OPTION AND WITH EXPLANATION 25 POINTS
Answers
Answer:
B. (x, y) ⇒ (x, -y)
Step-by-step explanation:
When a point is reflected over the x-axis, it is moved along a vertical line to the same distance on the other side of the x-axis.
The x-coordinate of a point identifies its distance from the y-axis--the vertical line it is on. The y-coordinate identifies its distance from the x-axis. Changing the sign of the y-coordinate moves the point to the same distance on the other side of the x-axis--reflecting it over the x-axis.
__
The given points ABC and A'B'C' all match the pattern ...
(x, y) ⇒ (x, -y)
A(-1, 7) ⇒ A'(-1, -7)
B(6, 5) ⇒ B'(6, -5)
C(-2, 2) ⇒ C'(-2, -2)
so the image points represent a reflection over the x-axis of the original points.
please help im so confused
Answers
Answer:
X=35
Step-by-step explanation:
all angles on a straight line equal 180 degrees
there fore the equation for x will be,
180= 40+(2X+30)+40
180=40+ 2X +30+40
180 =2X+110
180-110=2X
70=2X
70/2=X
35=X
A farmer plants five apple trees in 25 minutes. If he continues to work at a constant rate, how long will it take him to plant 200 trees?
Answers
five apple trees in 25 mins.
to find:the duration he'll take to plant 200 trees.
solution:let the time taken to plant 1 tree be x.
5x=25
=>x=25/5-5 mins
time taken to plant 200 trees:
trees=200*5
=1000mins
=16.67 hours.
therefore, he'll take 16.67 hours to plant 200 trees.
trees=200*5
=1000 mins
=16.67 hours.
he will take 16.67hours to plant 200 trees.
Mila invested $82,000 in an account paying an interest rate of 4 % compounded
annually. Chase invested $82,000 in an account paying an interest rate of 5%
Compounded quarterly. To the nearest dollar, how much money would Mila have in
her account when Chase's money has tripled in value?
Answers
Answer:
Step-by-step explanation:
From an electronic shop, 34 washing machines were sold on a particular day. The price of one washing machine was 8,400. Find the total amount collected by selling the washing machines on that day
Answers
Answer:
$201,600
Step-by-step explanation:
Multiply 34 and 84, which is 2016. Then add 2 zeros at the end because there are 2 zeros in 8400. So, the answer is 201,600 dollars.
What is the answer
1^32
Answers
Answer:
1^32=1
Step-by-step explanation:
The equation of line p is y+7= – 1/2 (x–5). Line q is parallel to line p and passes through (4,8). What is the equation of line q? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Answers
Answer:
y = -1/2 x + 10.
Step-by-step explanation:
The line q has the same slope (-1/2) as line p as the 2 lines are parallel.
Equation of the line q:
y - 8 = -1/2(x - 4)
y - 8 = -1/2x + 2
y = -1/2 x + 2 + 8
y = -1/2 x + 10.
Which of the following would best be solved using completing the square?
A) 2x^3 - 12x^2 + 5x - 30 = 0
B)5x^2 + 7x = 12
C) x^2 = 81
D) x^2 + 4x - 21 = 0
Answers
17 The price of a game console that regularly
sells for $800 is
reduced to $616. By what
percentage is the price reduced?
A
23%
C
77%
B
30%
D
25%
Answers
Answer:
A
Step-by-step explanation:You can use a calculator also 1% of 800 is 8 .So multiply 20 by 8 which is 160 and 8 times 3 is 24 and 160 plus 24 is 184.
Answer: 223%
Step-by-step explanation:
Deduct 616 from 800 to get the amount reduced. 800-616=184
184/800=0.23
convert to a percentage by multiplying by 100
which expression is equivalent to 35m2-63
Answers
An expression is formed of numbers, variables, and mathematical operations. The expression that is equivalent to 35m²-63 is 7(5m²-9).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given the expression 35m²-63, which can be written as,
[tex]35m^2-63\\[/tex]
Taking 7 as common from both the terms,
[tex]= 7(5m^2-9)\\[/tex]
Hence, the expression that is equivalent to 35m²-63 is 7(5m²-9).
Learn more about Expression:
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The average daily inchworm moves foot in 10 seconds. At this current rate, how long
will it take an earthworm to move 24 inches? Show your calculations. (Give your answer
in seconds)
ve won to anolleo I no slim as
os asb 'TOL
anonicolso to wore on Del 6
Answers
Answer:
20 seconds
Step-by-step explanation:
1ft in 10 seconds = 12 in / 10 sec
to get 24 inches, or 2 feet, we simply multiply that by 2:
(12 in /10 sec) * 2
24 in /20 sec
Answer:
20 seconds!
Step-by-step explanation:
A foot is equal to 12 inches meaning you take 12 and divide it by 24 to get 2 meaning its 2 feet. and if it took 10 seconds for one foot, then it will take 20 seconds for 2 feet
Choose the factor pairs of 25.
1 and 25, 3 and 10, 5 and 6
1 and 25, 3 and 9
1 and 25, 2 and 11
1 and 25, 5 and 5
anyone also want to be friends?
Answers
Answer:
1 and 25, 5 and 5, and i'll be ur friend ^w^
Step-by-step explanation:
5 and 5 is the only mutiplication beside one to get to 25, and i can be ur friend ^w^
Jack bought 5 pounds of halloween candy. he gave out 3 pounds of the candy to trick or treaters and ate 10 ounces of the candy . how many ounces of halloween candy does jack have left
Answers
Answer:
1 pound 6 ounces
Step-by-step explanation:
Solve for x. -3+8x-5=-8 A. -2 B. -1 C. -3/4 D. 0
Answers
Answer:
0
Step-by-step explanation:
-3+8x-5=-8
8x-8=-8
8x=-8+8
x=0/8
x=0
Answer:
D. 0
Step-by-step explanation:
-3+8(0)-5 = -8
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1400 grams and mass was decreasing by 12% per day. Determine the mass of the radioactive sample at the beginning of the 8th day of the experiment. Round to the nearest tenth (if necessary).
Answers
Answer:
572.1 gm will be left
Step-by-step explanation:
seven days of decay to find how much is still there on the 8th day
1400 ( 1 - .12)^7 =
What is the slope of the line below
Answers
Answer:
y=.5x+1.5
Step-by-step explanation:
The slope is .5