Answer:
[tex]31 \frac{4}{15}[/tex]
Step-by-step explanation:
(convert the mixed numbers into improper fractions = [tex]a\frac{b}{c} = \frac{a*c+b}{c}[/tex] )
[tex]\frac{4*3+2}{3}*\frac{6*10+7}{10}[/tex]
Steps if needed:
4*3 = 12+2 =14
6*10=60+7=67
[tex]\frac{14}{3} *\frac{67}{10}=\frac{14*67}{3*10}[/tex]
= [tex]\frac{938}{30}[/tex]
Simplify: Divide by 2
[tex]\frac{469}{15}[/tex] || 938/2 = 469 30/2 = 15
Convert your answer to a mixed fraction
[tex]31\frac{4}{15}[/tex]
469/15 = 31.26....
15*31 = 465
465+4 = 469
So your answer is 31 4/15
What is the equation of the line that goes through
the points (4,6) and (2,12)?
A.y=3x+18
B.y=-3x+18
C.y=-3x+6
D.y=3x
Answer:
B) y=-3x+18
Find the slope of the line that passes through each pair of points (-8, 5) (3, -6)
Answer:
[tex]m=-1[/tex]
Step-by-step explanation:
Given the following question:
Point A = (-8, 5) = (x1, y1)
Point B = (3, -6) = (x2, y2)
To find the answer we have to use the formula to calculate slope or rise over run.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-6-5}{3--8} =\frac{-11}{11}[/tex]
[tex]-11\div11=-1[/tex]
[tex]m=-1[/tex]
The slope of the line that passes through the points (-8, 5) and (3, -6) is "m = -1."
Hope this helps.
A newspaper advertisement offers a $6500 used car for nothing down and 36 easy monthly payments of
$196.80. What is the total amount paid for the car, and what is the total finance charge? Calculate the
simple interest rate charged.
Total Amount:
Total Finance Charge
$
Simple Interest Rate:
%
Using simple interest, it is found that:
The total amount paid was of $7,084.8.The finance charge was of $584.8.The simple interest rate was of 3%.Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of interest after t years in is modeled by:
[tex]I = Prt[/tex]
In which:
P is the initial amount.r is the interest rate, as a decimal.In this problem, the amount paid was of 36 monthly payments of
$196.80, hence:
36 x 196.80 = $7084.8.
The total amount paid was of $7,084.8.
The original price is of $6,500, hence the finance charge was of:
7084.8 - 6500 = $584.8.
For interest, we have that:
[tex]I = 584.8, P = 6500, t = 3[/tex], hence:
[tex]I = Prt[/tex]
[tex]584.8 = 6500(3)r[/tex]
[tex]r = \frac{584.8}{6500 \times 3}[/tex]
[tex]r = 0.03[/tex]
The simple interest rate was of 3%.
More can be learned about simple interest at https://brainly.com/question/25296782
help me on this one i am stuck
Answer number 10 and number 3 and 4
Answer:
where's the 10 and 3,4 ? uh there's no number
Elena works at an appliance store. She recorded her recent sales.
ovens 5
washing machines 6
dishwashers 4
Of the next 12 appliances Elena sells, how many should she expect to be ovens, given the past data?
Using proportions, it is found that she should expect 4 of the next 12 appliances to be ovens.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that out of 15 items, 5 are ovens. How many will be out of 12? To find out, we start with the rule of three.
15 items - 5 ovens
12 items - x ovens
Applying cross multiplication:
15x = 60
x = 4.
Hence, 4 of the next 12 appliances to be ovens.
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PLESE HELP ME WITH THESE TWO PLEASE!! I NEED HELP
8.
Petunia's Rolls Royce uses 15 L of gas per 100 km. How many litres of gas would she
use to go on a 820 km trip?
10. At a bankruptcy sale, stereo sets were advertised at 60% off. Sales tax is 7%. How
much would be paid in all for a stereo regularly selling for $68.95?
Answer:
8. 820 km
Step-by-step explanation:
8.
15 I per 100 km
x liter per 820 km on cross multiplication
(820 * 15) / 100 = x
12300/100 = x
123 liter =x in total 123 liter of gas will be required to travel 820 km.
Answer:
8.820
Step-by-step explanation:
hope it helps you bro
Jennifer needs to fit 28 t-shirts into her
new dresser. Each drawer can hold 6
shirts. How many drawers will she need
to use to put all of the t-shirts away?
[?] drawers
Hint: if your quotient has a remainder,
you will need to add one more drawer
so that all of the shirts can be put away.
Enter
Answer:
SO 28 new t shirts.
Each drawer can hole 6 tshirts.
How many drawers needed.
Now this is a division problem, how many “6 tshirts” can fit into 28 t shirts.
Something like that.
Anyways its 28/6 or 28 ÷ 6 = 4 remainder 4
4 r 4
Now we need all t shirts put away not 24 and have 4 left over. So we can just get another drawer and add it to the whole number.
So 5 drawers
8.
Create a list of the possible outcomes of the spinner and die.
List pls!
Answer:
Step-by-step explanation:
When we spin the spinner, there are four equally likely outcomes: "A," "B," "C," and "D." An experiment consists of rolling the die and then spinning the spinner. The face of the spinner has four congruent regions, labeled "A," "B," "C," and "D," respectively.
Answer:
It depends what type of spinner it is, but the basics of the spinner is 1/(whatever the number of spaces in it are)
For the die, it's 1/6
Triangle ABC has angle measures as shown below. Using the information in the
diagram, find the value of x. Be sure to write your answer down on a piece of paper -
you will need it for Question 4.
In your answer, give the value of x and explain how you calculated it.
3(x + 2)°
35
52°
0
Answer:
x=29 i know because i put that and it was a 100
6 mm
13 mr
12 mm
Surface Area:
Answer:
[tex] \frac{1}{2} \times 12 \times 6 = 36mm[/tex]
I'm gonna cry someone please help.
Answer:
Median for a: 50 because it is in the middle of the points
Median for b: 35 because it is in the middle of the points.
Step-by-step explanation:
What i do is i write all the numbers out as shown in graph and cross one out on both sides untill there is one left.
IQR A: 15
IQR B: 15
Find the 25 percentile the. the 75 pecentile then subtract the numbers off from eachother.
Have an amazing day!
PLEASE RATE!
PLEASE HELP ME ASAP !! Manny has $12,000 and is
saving for a used car that
costs $15,000. He is able to
save $300.00 per month
toward his car. Write and
solve an inequality for this
situation if m represents the
number of months that
Manny must save to buy the car.
Answer:
12,000+300m >= 15,000
300m >= 3,000
m>= 10
Step-by-step explanation:
This is basically the inequality that represents the problem and is solved algebratically.
Answer:
Inequality: 12,000 + 300m > 15,000
m = 10
It will take Manny 10 months to get the money for his car.
Step-by-step explanation:
The inequality is 12,000 + 300m > 15,000 ($12,000 + 300 dollars per month > $15,000)
Here is an image of how to solve the inequality:
An artist wants to create a painting on a semicircle canvas with a radius of 13 feet. He wants to surround the canvas with a piece of string. The string costs $1.05 per foot. How much will the piece of string that he needs cost? Round your answer to the nearest dollar.
A. $43
B. $82
C. $14
D. $41
What is the area of a sector with a central angle of 2π9 radians and a diameter of 20. 6 mm? Use 3. 14 for πand round your answer to the nearest hundredth. Enter your answer as a decimal in the box. Mm².
The area of a sector with a central angle of 2π/9 radians and a diameter of 20.6 mm is 37.01 mm²
It is given that
Central angle α= 2π/9
Diameter d= 20.6mm
So, radius r= 10.3mm
What is the formula for the area of the sector?The area of a sector with central angle α and radius r is 0.5*r²*α
So, area of given sector = 0.5*10.3² * 2π/9
Area of given sector = 37.01 mm²
Therefore, the area of a sector with a central angle of 2π/9 radians and a diameter of 20.6 mm is 37.01 mm².
To get more about the sector of a circle visit:
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Answer:
the answer is 37.01 took the test
Step-by-step explanation:
What would be your first step in completely factoring 6a” - 15a + 6?
A Look for factors of 6a² and 6
B
Factor out a common factor of a
C) Factor out a tommon factor of 6
D Factor out a common factor of 3
This is completely factored.
Answer:
Step-by-step explanation:
When you speak of common factors, you mean that every term must contain the common factor.
In addition terms are determined by isolated minus or plus signs.
The answer is D
3 goes into 15. six does not.
9. Find the measure of arc UPT.
Answer: 324 degrees
Step-by-step explanation:
help me pleaseeeeeeeeee
Answer:
Acute
Step-by-step explanation:
Answer:
If you are finding out the lower angles they are acute but the top is right
Step-by-step explanation:
Ada’s history teacher wrote a test for the class.
a
The test is 26 questions long and is worth 123 points.
Ada wrote two equations, where m represents the
number of multiple choice questions on the test, and
s represents the number of essay questions on the test.
–
m+s= 26
3m + 8s = 123
How many essay questions are on the test?
Answer:
9 essay questions.
Step-by-step explanation:
We have been given that ada’s history teacher writes a test for the class with 26 questions. We can represent this information in an equation as:
x+y=26
We are also told that multiple choice worth 3 points each, so total number of points for x questions will be 3x.
As essays worth 8 points each, so total number of points for y questions will be 8y.
Since the test is worth 123 points, so we can represent this information in an equation as:
3x + 8y= 123
Now we will use substitution method to solve system of linear equations.
From equation (1) we will get,
x=26-y
Substituting this value in equation (2) we will get,
3×(26-y)+8y=123
78-3y+8y=123
78+5y=123
Let us subtract 78 from both sides of our equation.
78-78+5y=123-78
5y=45
Let us divide both sides of our equation by 5.
5y/5=45/5
y=9
Find c plissssssssssss
The value of c is equal to [tex]7\sqrt{2}[/tex]
Data:
Opposite = 7Angle = 45 degreeshypothenuse = cTrigonometric RatioTo solve this problem, we need to use trigonometric ratio SOHCAHTOA.
Since we have opposite and hypothenuse value, we can use sine angle for this.
[tex]sin \theta = \frac{opposite}{hypothenuse}[/tex]
Let's substitute the values into the formula
[tex]sin45 = \frac{7}{c}\\ c = \frac{7}{sin 45} \\c = 7\sqrt{2}[/tex]
The value of c is equal to [tex]7\sqrt{2}[/tex]
Learn more on trigonometric ratio here;
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Question 1
A coach plans to order new volleyballs and soccer balls.
• The cost of each volleyball is $20.
• The cost of each soccer ball is $25.
The coach plans to order at least 50 volleyballs and soccer balls in all,
• The coach can spend a maximum of $1,100,
Which graph represents x, the number of volleyballs, and y, the number of soccer balls that the coach can order?
601
SO
40
Numberof Soccer Balls
30
20
10
0
60
10 20 30 40 50
Number of Volleyballs
The inequality is given by 20x + 25y ≤ 1100 and x + y > 50
What is an inequality?
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let y represent the number of soccer balls and x represent the number of volleyballs.
The coach can spend a maximum of $1,100, hence:
20x + 25y ≤ 1100
Also, The coach plans to order at least 50, hence:
x + y > 50
The inequality is given by 20x + 25y ≤ 1100 and x + y > 50
Find out more on inequality at: https://brainly.com/question/24372553
A sheet cake and a birthday cake are both made from the same batter. The sheet cake is in the shape of a rectangular
prism that is 12 inches long. 9 Inches wide, and 2 inches tall. The birthday cake is in the shape of a cylinder with a base
radius of 4.5 inches and a height of 4 Inches.
If the sheet cake has a total of 3,600 calories, approximately how many calories are in the birthday cake?
Answer:
The round birthday cake has 4241 calories. Do not touch. Mine.
Step-by-step explanation:
See attached image. A calorie density is calculated for the sheet cake (calories/in^3) and used to find the calories in the birthday cake.
pls quickkkkkkkkkkkkkk
Answer:
See below.
Step-by-step explanation:
i) A + B + C
= 4x² + y² - 6xy + 3y² + 12x² + 8xy + 6x² + 8y² + 6xy
= 24x² + 12y² + 8xy
ii) 2A + B - C
= 2(4x² + y² - 6xy) + 3y² + 12x² + 8xy - 6x² - 8y² - 6xy
= 8x² + 2y² - 12xy + 3y² + 12x² + 8xy - 6x² - 8y² - 6xy
= 14x² - 3y² - 10xy
A 16-foot ladder is resting against a wall when the bottom of the ladder begins to slip from the wall at a rate of 0.75 ft/s. Find the rate at which the top of the ladder is sliding down the wall when the bottom of the ladder is 10 ft away from the wall.
Answer:
8 feet from the wall.
What is the value of d?
Answer:
61°
Step-by-step explanation:
The right angle is formed by 29° and an unknown angle. However, we know the unknown angle's value as 61° because 90 - 29 = 61.
The Angle with 61° is congruent to Angle D because they're vertical angles, making d 61°.
Use the formula to figure out the area. Calculate your answer to the nearest hundredth.
Answer:
113.04in^2
Step-by-step explanation:
pi*6^2
36pi
substitute 3.14 for pi
36*3.14=113.04
Solution:
Note that:
R = 6 inFormula of area of circle: πr²π = 3.14Substituting the radius in the formula.
Formula of area of circle: πr²=> Formula of area of circle: 3.14 x 6²Finding the area:
=> Formula of area of circle: 3.14 x 36=> Formula of area of circle: 113.04 in²Evaluate the expression below when x = 4 and y = 12.
5x2−3y
Answer:
44
Step-by-step explanation:
substitute x = 4 and y = 12 into the expression
5x² - 3y
= 5(4)² - 3(12)
= 5(16) - 36
= 80 - 36
= 44
tim is now 12 years old after how many years will his age be greater than twice his present age?
Answer:
13
Step-by-step explanation:
12*2 is 24, and we need it to be more so 25, and 25-12 is 13
Use the box plot to determine which statement is accurate.
A) About 25% of adults have cholesterol levels of at most 212.
B) About 75% of adults have cholesterol levels less than 180.
C) One half of the cholesterol levels are between 180 and 197.5
D) One half of the cholesterol levels are between 180 and 211.
The accurate statements are:
A) About 25% of adults have cholesterol levels of at most 212.
D) One half of the cholesterol levels are between 180 and 211.
Q₃ (the third quartile) is 211, which is less than 212,
About 25% of adults have cholesterol levels of at most 212 is accurate.
Q₁ (the first quartile) is 100, which is greater than 180, About 75% of adults have cholesterol levels less than 180 is not accurate. We cannot determine that about 75% of adults have cholesterol levels less than 180 based on the given information.
The median divides the data into two equal halves, and it falls between Q₁ and Q₃.
So, one half of the cholesterol levels are between Q₁ and the median, but not specifically between 180 and 197.5.
One half of the cholesterol levels are between 180 and 211, as Q₁ is the lower boundary and Q₃ is the upper boundary of the interquartile range.
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#SPJ2
( 2 • 10^6 ) * ( 6 • 10^7 )
Answer:
120,000,000,000,000
Step-by-step explanation:
(2×10^6)= 2,000,000
(6×10^7)=60,000,000
2,000,000×60,000,000=120,000,000,000,000