Answer:
x = 21Step-by-step explanation:
5x - 12 = 3x + 30
5x - 3x = 30 + 12
2x = 42
x = 21
---------------------
check
5 * 21 - 12 = 3 * 21 + 30
93 = 93
the answer is good
Circle the multiplication problem that does not belong with the other three. explain 12×8=,22×4=,42×2=,33×3=
Answer: 12 x 8
Step-by-step explanation: The other three are not the basic multiplication facts from 0 - 12.
Tutori
A decade ago, the average class size at Belmont Middle School was 30 students. Now it is
40% larger. What is the average class size currently?
PLS HELP
Answer:
42 studentsStep-by-step explanation:
Initial class size = 30 students
Class size now is 40% larger:
30 + 40% = 30 + 30*40/100 = 30 + 12 = 42First let's find larged amount
[tex]\\ \sf\longmapsto 40\%\:of\:30[/tex]
[tex]\\ \sf\longmapsto 0.4(30)[/tex]
[tex]\\ \sf\longmapsto 12[/tex]
Class size=30+12=42students
Samantha had a board that was 6 ft. 8 in. long. She cut off a piece that was 2 ft. 10 in. long. How much board does she have left?
Answer:
she would have 3ft. 10 inches of board
Step-by-step explanation:
Answer:
3ft and 10inches
Step-by-step explanation:
so 6ft 8 in minus 10in is 5ft 10 in
then 5ft minus 2ft is 2ft the rest is a piece of cake
100 POINTS If x and y are real numbers, what is the simplified radical form of [tex](x^{2} y^{5} )^{\frac{1}{5} }[/tex]
Answer: [tex]x^{2/5}[/tex][tex]y[/tex]
Step-by-step explanation:
([tex]x^{2}[/tex][tex]y^{5}[/tex])^[tex]^{1/5}[/tex]
= [tex]x^{2/5}[/tex][tex]y[/tex]
A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type are driven for 1000 miles on each of 18 different cars. In a separate experiment, 18 cars were outfitted with tires with tread type A, and another 18 were outfitted with tires with tread type B. Each car was driven 1000 miles. The cars with tread type A averaged 23.95 mpg, with a standard deviation of 1.79 mpg. The cars with tread type B averaged 22.19 mpg, with a standard deviation of 1.95 mpg. Let μX represent the population mean mileage for tread type A and let μY represent the population mean mileage for tread type B.
Required:
Find a 99% confidence interval for the difference μXâμY. Round the answers to three decimal places.
Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).
We are given the standard deviation for the samples, hence, the t-distribution is used to solve this question.
The standard errors are given by:
[tex]s_A = \frac{1.79}{\sqrt{18}} = 0.4219[/tex]
[tex]s_B = \frac{1.95}{\sqrt{18}} = 0.4596[/tex]
For the distribution of differences, the mean and the standard error are given by:
[tex]\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76[/tex]
[tex]s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239[/tex]
The interval is given by:
[tex]\overline{x} \pm ts[/tex]
The critical value for a two-tailed 99% confidence interval with 18 + 18 - 2 = 34 df is t = 2.7284.
Then:
[tex]\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058[/tex]
[tex]\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462[/tex]
The 99% confidence interval for the difference is (0.058, 3.462).
For more on the t-distribution, you can check https://brainly.com/question/16162795
∠a = 85°, what does ∠b equal?
Answer:
∠b = 95°
Step-by-step explanation:
Assuming these angles are Supplementary, it would look something like this:
/
∠b / ∠a
_______________/__________________
If this is true, and ∠a = 85°, then this means that ∠b must equal 95° because being supplementary angles means all angles add to 180°, so 180 - 85 = 95
Answer:
90° − 85° = 5°
Round off the decimal 55.345 to 2 decimal places.
Answer:
Step-by-step explanation:
55.345 is rounded off two places therefore, the hundreths place
the number next to 4 is 5 in the thousandths place. 5 is high and therefore 4 is changed to 5 and makes it 53.35
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that apply. In addition to the Privileges and Immunities Clause, Article IV, Section 2 includes the
Hello!
-----------------------------------------------------------------------------------------------------------------
2x+5y=10
We want to turn this equation into y=mx+b form:
5y=-2x+10
Divide both sides by 5:
y=-2/5x+2
Now, the equation of the line parallel to it:
Remember, parallel lines have the same slope.
So these two lines have the same slope (-2/5)
Now, use Point-Slope form:
y-y1=m(x-x1)
y=1=-2/5(x-(-5)
y-1=-2/5(x+5)
y-1=-2/5x-2
y=-2/5x-2+1
y=-2/5-1
Hence, this is the required solution. I hope you find it helpful!
~SparklingFlower
--------------------------------------------------------------------------------------------------------------
ITS 100 POINTS!!!! AND DO IT IN A STEP BY STEP EXPLAINATION.
A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered pair (5, 2) is on the graphed line.
Part A: What is the price of 1 pound of cabbage? Show your work. (8 points)
Part B: What does the ordered pair (10, 4) on the graph represent? Explain in words. (2 points)
Answer:
part a: If x represents the number of pounds of cabbage and y represents the price in dollars, then (5, 2) means that 5 pounds of cabbage costs $2.00. If that is true, then 1 pound of cabbage will cost $0.40. (divide both values by 5)
The ordered pair (10, 4) means that 10 pounds of cabbage cost $4.00.
explanation: sorry its late but hope it helps
For a project in her Geometry class, Kylie uses a mirror on the ground to measure the
height of her school's flagpole. She walks a distance of 14.25 meters from the flagpole,
then places a mirror on flat on the ground, marked with an X at the center. She then
steps 1.35 meters to the other side of the mirror, until she can see the top of the
flagpole clearly marked in the X. Her partner measures the distance from her eyes to
the ground to be 1.25 meters. How tall is the flagpole? Round your answer to the
nearest hundredth of a meter.
The project in her Geometric class is an illustration of equivalent ratios
The approximated height of the flagpole is 13.19 meters
The given parameters are:
Distance from flagpole (D) = 14.25
Distance to the other side of the mirror (d) = 1.35
Kylie's height (h) = 1.25
To calculate the height (H) of the flagpole, we make use of the following equivalent ratios
[tex]\mathbf{D :d = H :h}[/tex]
Substitute known values
[tex]\mathbf{14.25 :1.35 = H :1.25}[/tex]
Express as fraction
[tex]\mathbf{\frac{14.25 }{1.35 }= \frac{H }{1.25}}[/tex]
Multiply both sides by 1.25
[tex]\mathbf{H = 1.25 \times \frac{14.25 }{1.35 }}[/tex]
Multiply
[tex]\mathbf{H = 13.19 }[/tex]
Hence, the approximated height of the flagpole is 13.19 meters
Read more about equivalent ratios at:
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(PHOTO) please help need this done by tomorrow thank you.
Answer: 125
Step-by-step explanation: ∠4 and 55 are supplementary angles. This means that ∠4 and 55 add up to 180. We can use this to solve for ∠4.
180 - 55 = ∠4
125 = ∠4
So, ∠4 is equal to 125 degrees.
Would appreciate brainly <3
Help help help help help help help help help help help
Answer:
Step-by-step explanation:
A' = (2 + 3, 1 + 2) = (5, 3)
B' = (-1 + 3, -3 + 2) = (2, -1)
C' = (3 + 3, -3 + 2) = (6, -1)
Select all ratios equivalent to 5:3.
13:9
9:15
20:12
Answer:
20:12
brainlest if it helped
Step-by-step explanation:
Answer:
20:12
Step-by-step explanation:
if you multiply 5:3 by 4, they'll end up with 20:12.
A teacher selects 4 students from her class of 37 to work together on a project. How many ways are there for her to select the students
Answer:
The correct answer is 66,045
Grace and Jackie are both accountants. They each charge their customers an hourly fee for their service, as described below. Grace charges $540 for 18 hours of service. Jackie charges $40 per hour. Who charges more per hour?
Answer:
Jackie
Step-by-step explanation:
Since Grace charges 30 an hour (540 divided by 18 is 30) and Jackie charges 40 and hour, so Jackie would charge more.
please help with this math
Each student in Mr. Ricardo's class has one camera that holds
320 pictures. He asks each student to delete 1/4 of the pictures and turn in the rest. Which of the following functions best represents the number of pictures, p that Mr. Ricardo will collect depending on the number of cameras, that his students have?
A) p=80c
B) p=160c
C) p=240c
D) p=320c
Answer:
C) p = 240cStep-by-step explanation:
Each camera has 320 pictures.
If 1/4 of pictures deleted, remaining number is:
320 - 1/4*320 = 320 - 80 = 240Total number of pictures is:
p = 240cCorrect choice is C
help pls home work home qork
Answer:
the answer is this sign >. it means the answer on the left is greater than the one on the right
given the sequence tn defined recursively below, find t4.
Answer:
[tex]t_4 = 20[/tex]
Step-by-step explanation:
The base case in the recursive function are:
[tex]t_1 = 1[/tex]
[tex]t_2 = 2[/tex]
The recursive case is equal to:
[tex]t_n = 2t_{n-1} + 3t_{n-2}[/tex]
So replace [tex]t_n[/tex] for [tex]t_4[/tex]:
[tex]t_4 = 2t_{3} + 3t_{2}[/tex]
In the new expression [tex]t_2[/tex] is a base case so you don't have to worry for that part, but [tex]t_3[/tex] is still the recursive case so evaluate again in [tex]t_n[/tex]
[tex]t_3 = 2t_{2} + 3t_{1}[/tex]
[tex]t_2[/tex] and [tex]t_1\\[/tex] are define as base cases so you replace for it's numbers:
[tex]t_3 = 2(2) + 3(1) = 7[/tex]
Now return to [tex]t_4[/tex] and replace for the new values:
[tex]t_4 = 2(7) + 3(2) = 14 + 6 = 20[/tex]
So the final answer is 20
Write the letter of the arrow that matches each probability word.
a)
*certain' is shown by the letter
b)
'evens' is shown by the letter
C)
'impossible' is shown by the letter
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
A. " Certain " is shown by letter E
B. " Even " is shown by letter C
C. " Impossible " is shown by letter A
3 bombas de agua llenan una piscina en 10 días trabajando 5 horas diarias.
Si hay 5 bombas de agua, ¿cuántos días demoran en llenar la misma piscina, si trabajan 8 horas diarias?
5 bombas deben trabajar durante 4 dias para llenar la piscina.
¿cuántos días demoran en llenar la misma piscina, si trabajan 8 horas diarias?Cada bomba trabaja a un rate (razon de trabajo) R.
Sabemos que 3 bombas, trabajando 5 horas diarias por 10 días (un total de 50 horas), llena una piscina, entonces:
(3R)*50 horas= 1 piscina.
R = (1 piscina)/(150 horas).
Es decir, una sola bomba tarda 150 horas en llenar una piscina.
En el caso de que 5 bombas trabajen, tenemos que para llenar una piscina tienen que trabajar un tiempo T.
5*((1 piscina)/(150 horas))*T = 1 piscina.
(1 piscina)/(30 horas)
Resolviendo para T, obtenemos:
T = 1 piscina*(30 horas)/(1 piscina) = 30 horas.
Y sabemos que trabajan 8 horas diarias, es decir, las bombas deben trabajar durante:
30/8 = 3.75 ≈ 4 días.
5 bombas deben trabajar durante 4 dias para llenar la piscina.
Sí quieres aprender más sobre razones de trabajo.
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What is 26 out of 100 expressed as a ratio in simplified form?
26:100
..............................
26 percent in simplest form is the fraction 13/50. Since 'percent' means 'per hundred,' 26 percent would be equivalent to the fraction 26/100.
Which equation would you use to solve the following situation?
There are 6 cookies in the cookie jar. Sean bakes some more and now there are 15 cookies in the jar. How many cookies did Sean bake?
6 + x = 15.
x - 6 = 15.
15 + 6 = x.
6 - x = 15.
Answer:
6+x=15 (x=9)
Step-by-step explanation:
6 cookies + the newly baked ones = 15 cookies
we know there was 6 cookies and we knew that the result is 15, which means that we "don't know" how many cookies are baked. So the answer is 6+x=15
Would you rather have 15/20 of a pizza or 3/4 of a pizza? Explain your answer and how you solved the problem. plz hurry!
Find two solutions of y=2x-3
Point 1: (x,y) --->
Point 2: (x,y) --->
The slope of the line is 2/1 and the y-intercept is (0,-3). Using that information, we can figure out two points on the line.
Point 1: (0,-3)
Point 2: (1,-1)
Solve:
8t + 2 = 8 (4) + 2 = 32 + 2 = ?
Whats the question mark?
Answer:34
Step-by-step explanation:
32+2=34
Answer:
= 34
Step-by-step explanation:
8t + 2 = (4) + 2 = 32 + 2 = 34
that's my answer , i wish my answer helps you
What is -1.2 -29/20 =
Answer:
-2.65
Step-by-step explanation:
A car drove 55 miles per hour for 8.2 hours and 75 miles per hour for 3.6 hours. How far did the car drive?
Answer:
Step-by-step explanation:
So at 38mph you are roughly traveling .6333 miles a minute. So 13 miles would take you roughly 8.2 minutes. How does one figure out this?
We know that there are 60minutes in an hour. We know you’re driving 38miles per hour. Dividing 38 by 60 gives you the miles per minute. Multiple that by how many miles you’re driving to get an estimate of the minutes it takes to drive those miles.
PASSCODE DECODER RING SHRI o If it takes 6 hours to bake 3 cakes, then at that rate, how many cakes could be baked in 12 hours? If Ava makes $15 in 2 hours, what is her rate of pay? 3nt took 5 hours to mow 6 yards. At that rate, how many yards can be mowed in 20 hours? co malaya $ o 94 If 10 bags of ice cost $12, how much does 1 bag cost? 5 A car gets 30 miles per gallon of gas. At that rate, how many gallons would it take for the car to go 360 If you type 75 words in 3 minutes, at what rate do you type? RECORD PASSCODE Directions Complete the questions, match each answer on the decoder eing, med record the letter from that spot When complete, go back to The Nission page te access the posscode reader to check your answer and solve another part of the mystery
The rate is a fraction that compares the values of two quantities. The expected answers to the questions are given below:
1. Given that 3 cakes takes 6 hours to bake, then:
1 cake = [tex]\frac{6}{3}[/tex]
= 2 hours
So that;
the number of cake to be baked in 12 hours = [tex]\frac{12 hours}{2 hours}[/tex]
= 6
The number of cake to be baked in 12 hours is 6.
2. Ava's rate of pay = [tex]\frac{15}{2}[/tex]
= $7.5 pr hour
Thus Ava's rate of pay is $7.5 per hour.
3. It took 5 hours to mow 6 yards. Thus;
To mow 1 yard = [tex]\frac{5}{6}[/tex] hours
The number of yards to be mowed in 20 hours = 20 ÷ [tex]\frac{5}{6}[/tex]
= 20 x [tex]\frac{6}{5}[/tex]
= 24
The number of yards to be mowed in 20 hours is 24.
4. Given that 10 bags of rice cost $12, then;
1 bag = [tex]\frac{12}{10}[/tex]
= 1.2
1 bag = $1.2
The cost of a bag of rice is $1.2.
5. Rate = 30 miles per gallon
The number of gallons required = [tex]\frac{360}{30}[/tex]
= 12
Thus 12 gallons would be required by the car to travel 360 miles.
6. Rate = [tex]\frac{75}{3}[/tex]
= 25
Rate = 25 words per minute
The typing speed is 25 words per minute.
For more on rate, check: https://brainly.com/question/119866
Help help hep helphelp help
Answer:
32 qt = 8 gal
Step-by-step explanation:
1 qt x 32 = 1/4 gal x 32
32 qt = 32/4 gal
32 qt = 8 gal