Step-by-step explanation: The 9 in 857.9 differs from the value of 9 in 798.21 because in 857.9, the 9 is in the tenths place, while in 798.21, it is in the tens place.
A triangle has sides length of (4.1p+4.4q) centimeter,(6.4p-5.1r)centimeters ,and (1.3r+6.3q)centimeters . Which expression represents the perimeter , in centimeter , of triangle ?
Answer:
The perimeter of the rectangle is 10.5p + 10.7q - 3.8r
Step-by-step explanation:
The perimeter of the triangle is calculated by adding the values of the three sides.
In this case, the values of the individual sides are expressed algebraically.
We can still add them, however, taking into consideration like terms.
Perimenter of triangle = (4.1p+4.4q) + (6.4p-5.1r) + (1.3r+6.3q)
Perimeter = 4.1p + 6.4p + 4.4q + 6.3q -5.1r + 1.3r
Now we have grouped them, we can add the different groups separately
Perimeter = 10.5p + 10.7q - 3.8r
Therefore, the perimeter of the rectangle is 10.5p + 10.7q - 3.8r
James washes cars to earn money. He charges $7.00 per compact car, $10.00 per mid -sized car, and $15.00 per SUV. On Saturday, he washed 3 compact cars, 4 mid-sized cars, and 2 SUVs. How much money did he earn?
Answer:
$91.00
Step-by-step explanation:
From the above question, we obtained the following information.
James charges:
1 compact car = $7.00
1 mid sized car = $10.00
1 SUV = $15.00
On Saturday, he washed:
a) 3 compact cars
1 compact car = $7.00
3 compact cars = ?
= $7.00 × 3
= $21.00
b) 4 mid-sized cars
1 mid- sized car = $10.00
4 mid-sized cars = ?
= $10.00 × 4
= $40.00
c) 2 SUVs.
1 SUV = $15.00
2 SUVs = ?
= $15.00 × 2
= $30.00
How much money did he earn?
$21.00 + $40.00 + $30.00
= $91.00
Therefore, James earned $91.00
A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories. The equation 4c + 5 = 27 represents the relationship between these quantities. Step 1: Answer the following questions: a. What could the 5 represent in this situation? b. Priya said that neither 8 nor 3 could be the solution to the equation. Explain why she is correct. c. Find the solution to the equation.
Answer:
5 represent calories from other ingredients
c= 5 1/2 grams
Step-by-step explanation:
Total calories=c grams of carbohydrates + other ingredients
Total calories in granola bite=27
The equation 4c + 5 = 27 represents the relationship between these quantities
1. 5 represent calories from other ingredients
2. Priya said that neither 8 nor 3 could be the solution to the equation
4c + 5 = 27
When the solution is 8
4(8)+5=27
32+5=27
37 =27
Solution 8 gives a higher calories than total calories
When solution is 3
4(3)+5=27
12+5=27
17=27
Solution 3 gives a lower calories than total calories
3. Solution to the equation
4c + 5 = 27
Subtract 5 from both sides
4c+5-5=27-5
4c=22
Divide both sides by 4
c=22/4
=5 2/4
=5 1/2
c= 5 1/2 grams
The radius of a sphere is 3 inches. Which represents the volume of the sphere? 12π cubic inches 36π cubic inches 64π cubic inches 81π cubic inches. Please hurry
Answer:
The answer is
36π cubic inchesStep-by-step explanation:
Volume of a sphere is given by
[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]
where r is the radius
From the question
r = 3 inches
So the volume of the sphere is
[tex]V = \frac{4}{3}( {3)}^{3} \pi[/tex]
[tex]V = \frac{4}{3} \times 27\pi[/tex]
[tex]V = 4 \times 9 \times \pi[/tex]
We have the final answer as
Volume = 36 π cubic inches
Hope this helps you
Answer:
36pi cubic inches.
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!!
The lateral area of a right cylinder can be found by multiplying twice the number π by the radius times the height. If a right cylinder has radius r and height h, write an expression that represents the lateral area.
Answer:
AL=2πrhStep-by-step explanation:
The expression for the lateral area of a cylinder is given as
AL=2πrh
where r is the radius of the circular surface of the cylinder
and h represents the height of the cylinder
while the constant π has a value of 3.142
Now upon substitution we can solve for the lateral area and the unit for the lateral area is (units)^2 i,e cm^2, mm^2 or m^2 etc.
The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). If area = length × width, what is the length of the rectangle? x + 5 x – 15 x + 15 x – 5
Answer:
D
Step-by-step explanation:
The area of a rectangle is given by the formula:
[tex]A=\ell w[/tex]
So, we are given that the area is:
[tex]x^3-5x^2+3x-15[/tex]
And the width is:
[tex]x^2+3[/tex]
And we want to find the length. To do so, first substitute the expressions into the equation:
[tex]x^3-5x^2+3x-15=(x^2+3)\ell[/tex]
Thus, to find the length, divide by (x²+3):
[tex]\displaystyle \ell = \frac{x^3-5x^2+3x-15}{x^2+3}[/tex]
We can factor the numerator:
[tex]x^3-5x^2+3x-15[/tex]
From the first two terms, factor out a x².
From the third and fourth terms, factor out a 3:
[tex]=x^2(x-5)+3(x-5)[/tex]
Combine:
[tex]=(x^2+3)(x-5)[/tex]
Putting this back:
[tex]\displaystyle \ell = \frac{(x^2+3)(x-5)}{x^2+3}[/tex]
Cancel:
[tex]\ell =x-5[/tex]
Hence, our answer is D.
Answer:
D on Edge 2021 ;))
Step-by-step explanation:
you and a friend are playing a board game. Your final score x is 12 points less than your friends final score. write and solve an equation to find your final score.
your friend
round 9 | round 10.
22 | 12
| final score |
195
me: round 9 || round 10 ||
9 25
||final score ||
?
equation: 195 = ___
Your final score is __ points.
The equation formed using the given data is 195 = x + 12 and your final score is 183 points.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say your final score is x
Given that,
Your final score x is 12 points less than your friend's final score.
So,
x = friend final score - 12
Now,
Friend final score = 195
So,
x = 195 - 12
x + 12 = 195
195 = x + 12
Now,
x = 195 - 12 = 183
Hence "The equation formed using the given data is 195 = x + 12 and your final score is 183 points".
For more about the equation,
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What is the product of the coordinates of the midpoint of a line segment with endpoints at $(2,3)$ and $(-6,5)$?
how do i simplify this problem?
12r+5s-7T+9s-4r
Answer: To simplify this problem you combine the like terms in the equation (numbers with the same variables.)
Demo: 12r + -4r = 8r
Answer:
8r + 14s - 7T
Step-by-step explanation:
Hello!
We have to make sure the terms are like terms before we add them.
Like terms are terms with the same variable so we can add r's with r's, t's with t's, etc.
There are two r's and two s's so we can simplify those
12r - 4r = 8r
5s + 9s = 14s
Now put these all together with the T in the original equation to get the answer
8r + 14s - 7T
Hope this helps!
Write an equation in point-slope form of the line that passes through the point (-6, 6) and has a slope of m=3/2
Answer:
Hello!!!!
The answer is y-6=3/2(x+6)
Step-by-step explanation:
point slope form is y-y1=m(x-x1)
-6 is x1 and 6 is y1
m=3/2
then plug in these values
hope this helps!!!!
Answer:
y-6=3/2(x--6)
Step-by-step explanation:
I am the best at the maths thing
how many hours?????
Answer:
2.4 hours
Step-by-step explanation:
To find the number of hours it takes to cook 3 kilograms of meat, we must fist find the rate of the ration we have:
12 : 5
= 12 / 5
= 2.4
This means that if you mulitply this by the value of the weight of meat, you'll get the amount of time it takes to cook that amount of meat. We can do ths is find the time it takes to find the hours it takes to make 3 ilograms of meat:
x : 3
x = 3 * 2.4 = 7.2
x : 3
= 7.2 : 3
I takes 7.2 hours to cook 3 kilograms of meat. You can use this process to find all the other hours based on the weight.
I hope this helps! Tell me if I am wrong!
please help me out! and please add step by step so I’ll get it lol
Answer:
57
Step-by-step explanation:
-7+2*36-8
-7+72-8
65-8
57
The sum of the angle measures of any triangle is 180 degrees. Angle #2 is twice the length of Angle #1 and Angle #3 is 15 degrees less than the Angle #2. What is the measure of each angle?
Answer: The measure of angle 1 is 39 degrees,the measure of angle 2 is 78 degrees and the measure of angle 3 is 63 degrees.
Step-by-step explanation:
We will represent the measure of angle 1 by x because it is unknown.
It says that the measure of angle 2 is twice angle 1 so we could represent that as 2x and the measure of angle 2 is 15 less than angle 3 and we could also represent that by 2x - 15.
Now we know they all add up to 180 so add them up and set them equal to 180 and solve for x.
x + 2x + 2x -15 = 180
5x - 15 = 180
+15 +15
5x = 195
x = 39
If x is equal to 39 then the measure of angle 1 is 39 degrees and the measure of angle 2 is twice that so 2(39) = 78 which also gives us the measure of angle 2 as 78.
For angle 3 it says that it has to be 15 less than the measure of angle so subtract 15 from 78 to find the measure of angle 3.
78 - 15 = 63 The measure angle 3 is 63 degrees. Now add the measures all together to see if they equal 180 degrees .
Check:
39 + 78 + 63 = 180
180 = 180
Can someone please help me .
Answer:
l=(P-2W)/2 (first answer choice lol)
Step-by-step explanation:
Luna makes $500 per 4 hours and Kelly makes $490 per 3 hours
Luna works 8 days and Kelly works 10 days
Who makes more money?
Answer:
Kelly earns more.
Step-by-step explanation:
Find how much Luna makes first.
24hx8days=192 hours
Then put the 192 hours into groups of 4.
192h/4h=48
Now, we take 48 x 500 to find how much Luna makes.
48x$500=$24000
Now, we have found how much Luna makes. Now, we find how much Kelly makes.
24hx10d=240h
Then put the 240 hours in groups of three.
240h/3h=80
Now, we take 80x$490
80x$490=$32900
(disclaimer: This method is what i use, i always come up with them takes me super long)
1.338, 1.729, 1.755, 1.153, 1.806, 1.993, 1.45, 1.152, 1.935, 1.095
Order from Least to Greatest
Can u list it?
Answer:
1.095, 1.152, 1.153, 1.338, 1.45, 1.729, 1.755, 1.806, 1.935, 1.993
Step-by-step explanation:
An expirement consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be 4? Express your answer aa a fraction in simpleat form.
Answer:
[tex]\dfrac{1}{12}[/tex]
Step-by-step explanation:
Given:
Two fair number cubes i.e. two dice consisting the numbers 1, 2, 3, 4, 5, 6 on their faces and have equal probability of each number.
The dice are rolled.
To find:
Probability of getting the sum of two numbers as 4.
Solution:
First of all, let us have a look at the total possibilities when two dice are rolled:
([1][1], [1][2], [1][3], [1][4], [1][5], [1][6],
[2][1], [2][2], [2][3], [2][4], [2][5], [2][6],
[3][1], [3][2], [3][3], [3][4], [3][5], [3][6],
[4][1], [4][2], [4][3], [4][4], [4][5], [4][6],
[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],
[6][1], [6][2], [6][3], [6][4], [6][5], [6][6])
These are total 36 possible outcomes.
For getting a sum as 4:
Possible number of favorable cases are 3 (as highlighted in BOLD in above)
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Required probability is:
[tex]\dfrac{3}{36} = \bold{\dfrac{1}{12}}[/tex]
Evaluate the following expressions if a = 2, b = 3, x = 4, and y = 5.
b^2+3(2x-y)
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------
Answer: 18~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~First we need to substitute the value of the variable into the expression.
[tex]b^{2}+3(2x-y)[/tex] = [tex]3^{2} + 3 (2(4)-5)[/tex] .
Now we need to solve [tex]3^{2} + 3 (2(4)-5)[/tex].
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]3^{2} + 3 (2(4)-5)[/tex]
First, calculate 3 to the power of 2 and get 9.
[tex]9+3(2\times 4-5)=18[/tex]
Multiply 2 and 4 to get 8.
[tex]9+3(8-5) =18[/tex]
Subtract 5 from 8 to get 3.
[tex]9+3\times 3 =18[/tex]
Multiply 3 and 3 to get 9.
[tex]9+9 =18[/tex].
And the answer is, you guessed it, 18!0.6( 10n + 25 ) = 10 + 5n
Answer:
n=−5
Step-by-step explanation:
0.6(10n+25)=10+5n
Step 1: Simplify both sides of the equation.
0.6(10n+25)=10+5n
(0.6)(10n)+(0.6)(25)=10+5n(Distribute)
6n+15=10+5n
6n+15=5n+10
Step 2: Subtract 5n from both sides.
6n+15−5n=5n+10−5n
n+15=10
Step 3: Subtract 15 from both sides.
n+15−15=10−15
n=−5
A ______ equation is an equation in which each term is either a constant or the product of a constant and a single variable.
Answer:
linear
Step-by-step explanation:
hey there,
< Linear equations are constant. They are not like parabolas so they are not curved but instead are straight, which allows them to be constant. >
Hope this helped! Ask me any more questions if you still don't understand!
Answer: The answer is a Linear Function
Step-by-step explanation:
please help me with 4-6 and please answer the questions
Answer:
4-6=-2
4.
rotational - no
reflectional - yes
angle - 90° (vertical)
5.
rotational - no
reflectional - yes
angle - 90° (vertical)
6.
rotational - omnidirectional
reflectional - yes
angle - 90° (vertical)
aswell as (horizontal)
If 5x + 4 = 8x + 10, then x = ?
Answer:
x = - 2
Step-by-step explanation:
[tex]5x + 4 = 8x + 10 \\ 5x - 8x = 10 - 4 \\ - 3x = 6 \\ x = \frac{6}{ - 3} \\ x = - 2[/tex]
The solution of the equation 8x + 10 = 5x + 4 will be negative 2.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given below.
8x + 10 = 5x + 4
Simplify the equation, then we have
8x - 5x = 4 - 10
3x = - 6
x = - 6 / 3
x = - 2
The solution of the equation 8x + 10 = 5x + 4 will be negative 2.
More about the solution of the equation link is given below.
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At a store, Eva bought two shirts and five hats for $154.00. Nicole bought three same shirts and four same hats for $168.00. what is the price of each shirt
Answer:
shirts are $32 each and hats are $18 each
Step-by-step explanation:
x = shirts
y = hats
2x + 5y = 154
3x + 4y = 168
use either substitution or elimination
x = $32
y = $18
The price of each shirt is $32 while the price of each hat is $18.
let
the price of each shirt = x
the price of each hat = y
Eva's purchase will be
2x + 5y = 154Nicole's purchase will be
3x + 4y = 168Combine the equation to find the price of each shirt and hat.
2x + 5y = 154
3x + 4y = 168
2x = 154 - 5y
x = 77 - 5 / 2 y
3x + 4y = 168
3(77 - 5 / 2 y) + 4y = 168
231 - 15 / 2 y + 4y = 168
168 - 231 = - 7 /2 y
- 63 = - 7 / 2 y
cross multiply
-126 = -7y
y = 18
2x + 5(18) = 154
2x + 90 = 154
2x = 154 - 90
2x = 64
x = 64 / 2
x = 32
Price of each shirt = $32
price of each hat = $18
read more: https://brainly.com/question/19055987?referrer=searchResults
two-thirds of the 27 students in the class had perfect attendance for the first half of the year. How many students had a perfect attendance record? HELP
Answer:
18
Step-by-step explanation:
1/3 of 27 is 9 so 2/3 is 18
BRIANLIEST!!!BRAINLIEST!!!!BRAINLIEST!!!!BRAINLIEST!!!!
COULD SOMEONE PLEASE HELP ME OUT HERE???!!!8 POINTS!!!!
Answer:
For the first one it would be A. x = -3, 4 because they where f(x) and g(x) intersect.
Step-by-step explanation:
For the second one it would be B. Fuction 1 has the larger maximum at (4,1) because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.
Answer:
I believe it is A
Step-by-step explanation:
A life insurance company sells a $240,000 one year term life insurance policy to a 25-year old female for $225. The probability that the female survives the year is .999572. Find the expected value for the insurance company.
Answer:
$122.28
Step-by-step explanation:
Give the following :
Insurance worth = $240,000
Price sold = $225
P(survival) = 0.999572
P(death) = 1 - 0.999572 = 0.000428
If she survives, insurance firm makes $225
If she dies, insurance firm pays $240,000, hence the company losses :
$(225 - 240,000) = $−239775
Expected value (E(x)) = sum of P(i) * X(i)
E(x) = (P(survival) * profit made) + (P(death) * loss incurred)
E(x) = (225 * 0.999572) + (0.000428 * −239775)
= 224.9037 - 102.6237
=$ 122.28
Answer:
$773.3587
Step-by-step explanation:
The probability that the female survives = 0.999572
therefore, probability that female dies = 1-0.999572 = 0.000428
if the female survives the insurance company makes = $225
x=$250
If the female dies the insurance company pays $240,000.
So, the amount with the company = 240000-225 = $ 2390775
Therefore Expected value = 250(0.999572)-2390775(0.000428)= $773.3587
please help me will mark as brainlist
Answer:
17.3825
Step-by-step explanation:
First I figured out the area of the square which is 18×18=324
Then I found out the are of the circle which is 254.47, so 324 - 254.47 = 69.53
Then there are 4 times the shaded are so divided by 4, so 69.53 ÷ 4 = 17.3825
PLEASE GIVE BRAINLIEST!
Answer:
shaded area = 17.38 cm²
Step-by-step explanation:
given:
diameter of circle = 18 cm and = side of square
π = 3.142
shaded area = ( Area of square - Area of circle ) x 1 / 4
Area of square = s² = 18² = 324 ²cm
Area of circle = π d² / 4
= 3.142 (18²) / 4
= 254.5 cm²
therefore, shaded area = ( 324 cm² - 254.5 cm² ) * 1/4
= 17.38 cm²
The density of a certain material is such that it weighs 6 pounds per pint of volume.
Express this density in grams per liter. Round your answer to the nearest whole
number
Answer:
Density = 5751.66 gram per litre
Step-by-step explanation:
It is given that the density of a certain material 6 pounds per pint.
The conversion from pint to liter is as follows :
1 pint = 0.473 litre
The conversion from pounds to kg is as follows :
1 pound = 453.59 kg
We need to express the density from pounds per pint to grams per liter.
1 pound per pint = 958.611 gram per litre
So,
6 pound per pint = 958.611 × 6 gram per litre
6 pound per pint = 5751.66 gram per litre
Answer:
The last step says the answer is 5751.66
Anyone? Know how to do this?
Answer:
x = 4length = 19 ftwidth = 11 ftStep-by-step explanation:
The area is given by the product of length and width.
A = LW
209 = (4x +3)(4x -5)
209 = 16x^2 -8x -15
224 = 16x^2 -8x
You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".
14 = x^2 -(1/2)x
14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient
(x -0.25)^2 = 14.0625
x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25
Only positive values of x are useful here, so we have
x = 4
Then the dimensions are ...
length = 4x +3 = 4(4) +3 = 19 . . . feet
width = 4x -5 = 16 -5 = 11 . . . feet
Help please!!! Tyyyyyy
Answer:
D
Step-by-step explanation:
So we have the equation:
[tex]ax+by+c=0[/tex]
First, let's convert this to slope-intercept form.
Subtract ax from both sides:
[tex]by+c=-ax[/tex]
Subtract c from both sides:
[tex]by=-ax-c[/tex]
Divide everything by b:
[tex]y=-\frac{a}{b}x-\frac{c}{b}[/tex]
We are told that a>0, b<0, and c>0.
In other words, a is positive, b is negative, and c is positive.
The slope of the equation is -a/b.
Since a is positive and b is negative, we will have:
-(+)/(-).
The negatives will cancel out. Therefore, our slope will be positive.
Since our slope is positive, our line must be upwards sloping. Eliminate answers A and C.
Also, our y-intercept is:
-c/b.
c is positive and b is negative. Thus, similarly:
-(+)/(-).
Again, the negatives cancel. This means that the y-intercept must be positive.
Out of B and D, the graph that has a positive y-intercept is D.
D is our answer :)