Answer:
361-265＝96
96÷32＝3
3hours of labor was needed to complete the job
An empty suitcase has a mass of 2 kilograms draw a bar model to find its mass in grams.(1 kilogram=1000grams)
Answer:
2000 kilograms
Step-by-step explanation:
Please see picture attatched! Joanne wants to join a gym. As a member of the gym, Joanne must pay a registration fee as well as a monthly membership fee. The expression 24.72m + 49.95 represents the total amount Joanne pays for her registration and membership for m months. What do the different parts of the expression model? Drag the parts of the expression into the boxes to match each description. please look at the picture to see full!
Joanne has to pay monthly membership fees = $24.72 per month
And registration fee = $49.95
Here,
The given expression is 24.72 m + 49.95
Joanne has to pay registration fee as well as monthly membership.
And, m denotes the number of months.
We have to explain the different part of given expression.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Now,
The given expression is ;
⇒ 24.72 m + 49.95
Joanne has to pay registration fee as well as monthly membership.
Where, m denotes the number of months.
From the expression;
⇒ 24.72 m + 49.95
We can see that,
Joanne has to pay monthly membership fees = $24.72 per month
And registration fee = $49.95
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Pete the Handyman
Pete is a flooring contractor, he sets floor tile for a living. Pete submits a bid for each new job. Every
time he bids for a job, he measures the area of the floor that he will tile and then determines how
much material he will need. He charges the following prices for each job:
Foxed fee:
Labor and tile charge:
$250.00 (includes adhesive and grou)
$7.50 per
x will represent the number of square feet. y will represent the total cost of the project.
1.
Which equation represents Pete's bid?
y = 7.50x + 250
С.
y = 250x + 7.50
b.
y = 750x + 2.50
y= 2.50x = 750
The answer is 4(d+14) I need that simplified? Help!!
Answer:
4d+56
Step-by-step explanation:
4(d+14) you must do distributive property to simplify this answer.
4d + 56 after distributing remove parentheses
Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-10, 12) and point (5, 3) rounded to the nearest tenth?
Answer:
The answer is 17.5 unitsStep-by-step explanation:
Using the distance formula
[tex]d = \sqrt{ ({x2 - x1})^{2} + ({y2 - y1})^{2} } [/tex]the distance between (-10, 12) and (5, 3) is
[tex]d = \sqrt{ ({5 + 10})^{2} + ({3 - 12})^{2} } [/tex][tex]d = \sqrt{ {15}^{2} + ( { - 9})^{2} } [/tex][tex]d = \sqrt{225 + 81} [/tex][tex]d = \sqrt{306} [/tex][tex]d = 3 \sqrt{34} [/tex]d = 17.492855
We have the final answer as
d = 17.5 units to the nearest tenthHope this helps you
Answer:17.5
Step-by-step explanation:
-6n-2n=16
What are all the steps
Answer:
n = 2
Step-by-step explanation:
- 6n - 2n = 16
- 8n = 16
n = 16/-8
n = -2
Answer:
[tex] - 6n \: - 2n \: = 16[/tex]
[tex] = ) - 8n \: = 16[/tex]
[tex] = )n \: = \frac{16}{ - 8} [/tex]
[tex] = )n \: = - 2[/tex]
The stem-and-leaf plot below displays the ages of 30 attorneys at a small law firm.
Stems Attorneys
4 99
5 00112589
6 1234458
7 1233458
8 0137
9 12
What is the age of the oldest attorney? What is the age of the youngest attorney?
A. The oldest attorney is 102 years old. The youngest attorney is 31 years old.
B. The oldest attorney is 91 years old. The youngest attorney is 48 years old.
C. The oldest attorney is 82 years old. The youngest attorney is 59 years old.
D. The oldest attorney is 92 years old. The youngest attorney is 49 years old.
Answer:
D. The oldest is 92 youngest 49
Step-by-step explanation:
we can get the answer by pairing each of the values on the left hand side that is these values 4 5 6 7 9 with values on the right.
the first age from the top row is 49 the second is 49
from the second row it is 50 50 51 51 52 5 59
from the 3rd row 61 62 63 64 64 65 6
from the forth row t s 71 72 73 73 74 75 7
from the fifth row it is 80 81 83 87
from the sxth row it is 91 92.
each of the numbers have just written out represents age. the oldest age there is 92 whle the youngest s 49. It is simply each number under attorney paired wth stem to make a number.
I added an attachment with the pairing
what is the mathmatical property of 7+(5-8)=(7+5)-8 out of Communicative and assoiative propetys and the other 2
Answer:
This demonstrates the associative property of addition which states that a + (b + c) = (a + b) + c. Basically, it states that it doesn't matter which order you add numbers in, you will always get the same result.
Solve 64^x = 16^(x−1). (1 point) Select one: a. x = −2 b. x = −1 c. x = negative 1 over 4 d. x = negative 1 over 3
Answer:
a. x = -2
Step-by-step explanation:
64ˣ = 16⁽ˣ⁻¹)
64 = 4³
16 = 4²
4³⁽ˣ⁾ = 4²⁽ˣ⁻¹)
4³ˣ = 4²ˣ⁻²
3x = 2x - 2
x = -2
Answer:
[tex]\huge \boxed{x=-2}[/tex]
Step-by-step explanation:
64^x = 16^(x-1)
Rewrite the bases with base of 4.
(4^3)^x = (4^2)^(x-1)
Multiply exponents.
4^(3x) = 4^(2(x-1))
Cancel same bases.
3x = 2(x-1)
Expand brackets.
3x = 2x - 2
Subtract 2x from both sides.
x = -2
How many grams is 6 ounces?
Answer:
170.097
Step-by-step explanation:
1 ounce = 28.3495 grams.
28.3495 x 6 = 170.097
Answer:
170.097 grams Mark me as brainliest!!!!
Step-by-step explanation:
Express as a trinomial (2x+8)(x-3)
Answer:
[tex]\huge\boxed{(2x+8)(x-3)=2x^2+2x-24}[/tex]
Step-by-step explanation:
[tex]\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2x+8)(x-3)=(2x)(x)+(2x)(-3)+(8)(x)+(8)(-3)\\\\=2x^2-6x+8x-24\qquad\text{combine like terms}\\\\=2x^2+(-6x+8x)-24\\\\=2x^2+2x-24[/tex]
Answer:
2x^2+2x-24
Step-by-step explanation:
when you see two parentheses, you should first think : FOIL!
you take the First terms in each of the parentheses which is 2x and x and multiply them. (2x^2)
then you take the Outer terms in the parenthesis which is 2x and -3 and multiply them. (-6x)
then you take the Inside terms which is +8 and x and multiply them. (+8x)
lastly, you take the Last terms which is +8 and -3 and multiply them. (-24)
you should get this : 2x^2-6x+8x-24. combine like terms and there's your answer!
i also advise you to write down all your terms until you are familiar with this foil stuff. don't be ashamed if you need to write them down! you'll get the hang of it! :)
2 x + 3 y = 11 x − 3 y = 1 What is the solution ( x , y ) to the given system of equations?
Answer:
(4, 1 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 11 → (1)
x - 3y = 1 → (2)
Adding (1) and (2) term by term will eliminate the term in y
3x = 12 ( divide both sides by 3 )
x = 4
Substitute x = 4 into either of the 2 equations and evaluate for y
Substituting into (1)
2(4) + 3y = 11
8 + 3y = 11 ( subtract 8 from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
Solution is (4, 1 )
Find the average rate of change of f(x) with respect to x on the interval. [tex]f(x)=x^2-4 ; [-4,3][/tex]
Answer:
The average rate of function of f on the given interval is -1.
Step-by-step explanation:
Recall that the average rate of change is simply the slope of the function between two points.
We are given the function:
[tex]f(x)=x^2-4[/tex]
And we want to find its average rate of change on the interval [-4, 3].
Evaluate the two endpoints:
[tex]\displaystyle \begin{aligned} f(-4) & = (-4)^2 - 4 \\ \\ & = 16 - 4 \\ \\ & = 12\end{aligned}[/tex]
Likewise:
[tex]\displaystyle \begin{aligned} f(3) & = (3)^2 - 4 \\ \\ & = 9 - 4 \\ \\ & = 5\end{aligned}[/tex]
Recall that slope is given by:
[tex]\displaystyle m = \frac{\Delta y}{\Delta x}[/tex]
Hence, the average rate of change is:
[tex]\displaystyle\begin{aligned} \text{Avg Rate of Change} & = \frac{(5)-(12)}{(3)-(-4)} \\ \\ &= \frac{-7}{7} \\ \\ & = -1\end{aligned}[/tex]
In conclusion, the average rate of function of the given function on the given interval is -
For the scale factor n = 3, select a line segment other than LK that is not a vertical or horizontal line segment. Next, compute the slope m of your
line segment in the preimage and the image using the slope formula m= Show your work.
Answer:
Plato
Step-by-step explanation:
The line segment chosen is HI. Its image is H'I'. The slope of preimage HI is -1.25 and the slope of the image H'I' is -1.25.
What is the scale factor?The Scale Factor is used to scale shapes in different dimensions. We study different geometrical shapes in geometry, both two-dimensional and three-dimensional. The scale factor is a metric for comparing figures with similar appearances but differing scales or metrics.
What are images and preimages?The image of a transformation is the shape after the transformation. The preimage of a transformation is the shape before the transformation. The image is scale factor times preimage.
How do we determine the slope of a line?A line passing through the points (x₁, y₁) and (x₂, y₂) will have a slope
m = (y₂ - y₁)/(x₂ - x₁).
How do we solve the given question?We are asked to select a line segment other than LK, which is not a vertical or horizontal line segment, for the scale factor n = 3.
So, we have to select a preimage( other than LK), and its image (3 times the preimage).
So we select the preimage as HI and its image as H'I', as the scale factor between them is n = 3, and HI is not a vertical or horizontal line segment.
Now, we calculate their slopes.
For the preimage HI (slope is m₁):
HI passes through the points (2, 0) and (0, 2.5). Substituting these values in the slope formula, we get
m₁ = (2.5-0)/(0-2) = -2.5/2 = -1.25.
For the image H'I' (slope is m₂):
HI passes through the points (6, 0) and (0, 7.5). Substituting these values in the slope formula, we get
m₂ = (7.5-0)/(0-6) = -7.5/6 = -1.25.
∴ The line segment chosen is HI. Its image is H'I'. The slope of preimage HI is -1.25 and the slope of the image H'I' is -1.25.
NOTE: The slopes of images and preimages are always the same as the image is just an enlarged or diminished form of the preimage.
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PLEASE HELP find distance between points
Step-by-step explanation:
To find the distance between two points, we have to use the distance formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
Let's solve for line PQ first. We plug in the points into the formula and solve from there.
P: (-5, 1)
Q: (-2, -5)
[tex]PQ=\sqrt{(-2+5)^2+(-5-1)^2 }[/tex]
[tex]PQ=\sqrt{(3)^2+(-6)^2 }[/tex]
[tex]PQ=\sqrt{9+36}[/tex]
[tex]PQ=\sqrt{45}[/tex]
[tex]PQ=3\sqrt{5}[/tex]
Now, let's solve line ML.
M: (5, 3)
L: (2, -3)
[tex]ML=\sqrt{(2-5)^2+(-3-3)^2 }[/tex]
[tex]ML=\sqrt{(-3)^2+(-6)^2}[/tex]
[tex]ML=\sqrt{9+36}[/tex]
[tex]ML=\sqrt{45}[/tex]
[tex]ML=3\sqrt{5}[/tex]
Answer: 3√5, 3√5, yes, they are congruent.
Round 72.46387 to the nearest hundredth
Answer:
Answer = 72.46
Answer: 72.46
Step-by-step explanation:
Nearest hundredth is second place to the right of decimal point
- 72.46387
- The second place to the right of decimal point is 6.
Look at the place after 6 to determine whether or not to move up.
- The next place is 3, and 3 is less than 5, so we keep the place.
72.46
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Will mark brainliest for fastest answer and right
Answer:
19
Step-by-step explanation:
10 + 9 = 19. If you look at how many students are above the "30 mark", you will count 10 on the first bar and 9 on the second.
Can please someone help me with this calculus problem? Thanks! ∫(4x-6)(x²-3x+1)^5 dx
Looks like the integral is
[tex]I=\displaystyle\int (4x-6)(x^2-3x+1)^5\,\mathrm dx[/tex]
If you we substitute [tex]y=x^2-3x+1[/tex] and [tex]\mathrm dy=(2x-3)\,\mathrm dx[/tex], we get
[tex]I=\displaystyle2\int(2x-3)(x^2-3x+1)^5\,\mathrm dx=2\int y^5\,\mathrm dy[/tex]
Now use the power rule, and replace y accordingly:
[tex]I=\dfrac{2y^6}6+C=\dfrac{y^6}3+C=\boxed{\dfrac{(x^2-3x+1)^5}3+C}[/tex]
((4-x)/5)+((x+2)/3)=6 Please Help Soon
Answer: x = 34
Step-by-step explanation:
⁴ ⁻ˣ/₅ + ˣ + 2/₃ = 6
Now resolve into fraction and convert to a linear equation
4 - x /₅ + x + 2/₃ = 6
3( 4 -x ) + 5( x + 2 )/15 = 6
3( 4 - x ) + 5( x + 2 ) = 6 x 15
12 - 3x + 5x + 10 = 90
2x + 22 = 90
2x = 90 - 22
2x = 68
x = 34
The histogram shows the number of miles driven by a sample of automobiles in New York City. What is the maximum possible number of miles traveled by an automobile included in the histogram?
Answer:
The maximum possible number of miles traveled by an automobile included in the histogram is 40,000 miles.
Step-by-step explanation:
A histogram is a bar graph reprinting the frequency of various categories.
In a histogram the y-axis represents the frequency and the x-axis represents the categories.
Consider the histogram provided for the number of miles driven by a sample of automobiles in New York City.
The y-axis represents the frequency and the x-axis represents the number of miles driven.
The category 10,000 miles has the highest frequency at 30.
And the maximum possible number of miles traveled by an automobile is 40,000 miles.
Thus, the maximum possible number of miles traveled by an automobile included in the histogram is 40,000 miles.
Answer:
42,500 miles
This is your correct answer
In the student council election, Davina received 50 votes, Binh received 40 votes and Eden received 80 votes. What is the ratio of Binh’s votes to Davina’s votes in simplest form?
Answer:
4:5
Step-by-step explanation:
Davina received 50 votes
Binh reveived 40 votes
It asked for ratio of Binh’s votes to Davina’s
so the ratio is first Binh's 40 to Davina's 50 that's 40 to 50
It want it in simplest form so you find the greatest common factor of 40 and 50 which is 10.
40/10 and 50/10 is 4 to 5
So the answer is 4:5(The ":" means "to")
The ratio of Binh’s votes to Davina’s votes is 4:5
What is ratio?The comparison of two numbers or quantities by division is known as the ratio.
Given that, In the student council election, Davina received 50 votes, Binh received 40 votes and Eden received 80 votes.
Required ratio = Binh’s votes \ Davina’s votes
= 40/50
= 4/5
Hence, The ratio of Binh’s votes to Davina’s votes is 4:5
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square root (2x)^8 simplified
Answer:
256x^8
Step-by-step explanation:
1. Use separation of variables to find the solution to the differential equation subject to the given initial condition.
dy/dx = 5y/x, y = 4 while x = 1
2. Find the solution to the differential equation, subject to the given initial condition.
4(du/dt) = u^2, u(0) = 7
Answer:
Step-by-step explanation:
Given the differential equation dy/dx = 5y/x subject to the condition y = 4 and x = 1. Using the variable separable method of solving differential equation, we will have;
dy/dx = 5y/x
Separate the variables
dy/5y = dx/x
Integrate both sides of the expression
[tex]\frac{1}{5}\int\limits \frac{1}{y} \, dy = \int\limits \frac{dx}{x} \\ \\\frac{1}{5}lny = lnx + C\\\\lny = 5lnx+5C\\[/tex]
using the initial condition y = 4 while x = 1
ln4 = 5ln1 + 5C
ln4 = 0+5C
C = ln4/5
Substituting the value of C back into the expression;
[tex]lny = 5 lnx+5(ln4/5)\\lny = 5lnx+ln4\\lny = lnx^5+ln4\\lny = ln(4x^5)\\y = 4x^5[/tex]
Hence the solution to the differential equation is y = 4x⁵
b) Given 4(du/dt) = u²
du/dt = u²/4
du/ u² = dt/4
u⁻²du = 1/4 dt
integrate both sides of the equation
[tex]\int\limit {u^{-2}} \, du = \int\limits\frac{1}{4} \, dt\\\\\frac{u^{-1}}{-1} = \frac{t}{4} + C\\\\\frac{-1}{u} = \frac{t}{4} + C[/tex]
Imputing the initial condition u(0) = 7 i.e when t = 0, u = 7
[tex]\frac{-1}{7} = \frac{0}{4} + C\\\\\frac{-1}{7} = C\\[/tex]
[tex]\frac{-1}{u} = \frac{t}{4} - \frac{1}{7}[/tex]
Hence the solution to the DE is [tex]\frac{-1}{u} = \frac{t}{4} - \frac{1}{7}[/tex]
find the sum of the interior angles of a regular hexagon and hence the size of each interior angle
Answer: (a) 720°, (b) 120°
Step-by-step explanation:
A hexagon is a polygon with six sides.
Formula for finding the interior angle of a polygon = ( 2n - 4 )complementary
= ( 2n - 4 ) 90
complimentary angle is 90° or
= ( n - 2 )supplementary
supplementary angle is 180° . Now solving the question now since n = 6
we now put it in any of the formula above
( 2 x 6 - 4 ) x 90 = ( 12 - 4 ) x 90
= 8 x 90
= 720° or
( 6 - 2 ) x 180 = 4 x 180
= 720°.
The second part of the question, each size of the interior angle
= ⁷²⁰/₆
= 120°
Give the probability distribution for the indicated random variable. HINT [See Example 3.] (Enter your probabilities as fractions.) A red die and a green die are rolled, and X is the larger of the two numbers facing up. x 1 2 3 4 5 6
Full question attached
Answer explanation attached
Answer:
bottom right histogram fits the distribution
Step-by-step explanation:
we have chosen the bottom right histogram from the options as this fits the distribution best. It can be observed that probability for each outcome from 1(left from the table) increases till 6(right from the table)
The ratio of adults to students on a class field trip is 2 to 5. If there are 12 more students than adults, which proportion and solution represent this situation?
Answer:
X/y = 2/5
Y= x+12
Where y = students
X= adults
Number of adults= 8
Number of students= 20
Step-by-step explanation:
The ratio of adults to students on a class field trip is 2 to 5. If there are 12 more students than adults.
Let adult be x
Let student be y
X/y = 2/5
5x= 2y.... equation one
Y= x+12..... equation two
Substituting equation two into equation one
5x= 2(x+12).
5x = 2x +24
3x= 24.
X= 8
Y= x+12
Y= 8+12
Y= 20
Number of adults= 8
Number of students= 20
greates common factor of 8x+2
Answer: 2
Step-by-step explanation:
Find the prime factors of each term
Find the area of the surface generated by revolving x equals t plus StartRoot 2 EndRoot, y equals StartFraction t squared Over 2 EndFraction plus StartRoot 2 EndRoot t plus 3 , negative StartRoot 2 EndRoot less than or equals t less than or equals StartRoot 2 EndRoot about the y dash axis. The surface area obtained by revolving the given curve around the y dash axis is
Enter the number 99.4177 rounded to the nearest hundredth (two decimal places)
Answer: The number 99.4177 rounded to the nearest hundredth is 99.42.
Step-by-step explanation:
Here's how I got my answer:
Since you need to round to the nearest hundredth, then round to the first two decimal places. So if the number is 5 or greater, then round up. If the number is 4 or lesser, then do not round up.
In this scenario:
99.4177
Round the 1 in the hundredths place up to 2, because 7 is on the greater end. Since they are just asking you for the hundredths place, then do not round anything else.
Hence, your final answer is 99.42.
Name 1 thing you do regularly that involves math.
Answer:
Cooking., You either end up with great food because you measured the and use the right amount of ingredients or food that isn't the best because you used too little or too much ingredients.
Bonus) For Time Management, it involves math by scheduling activities and other things such things in life at certain times and some things should be met within certain time limits and such.
Answer: Hi!
Shopping! When you're shopping in a store, you have to calculate and estimate the prices of food and items in your head, (or on paper), so you know the total amount of money you are going to use. Many times the amount of money for an item is a fraction, too!
Hope this helps!