Answer:
To distribute means to divide something or give a share or part of something. For example, for the problem 4(6+2), you would use the distributive property and distribute the 4. Making the end result, 24+8.
Answer:
The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods
Step-by-step explanation:
solve the question.
Answer: 1
[tex](\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1[/tex]
Step-by-step explanation:
Rob buys 50 feet of border to place around the ceiling of a room. The ceiling is shaped like a square with sides that are 10.8 feet long. How many feet of border will Rob have left?
Answer:
Step-by-step explanation:
Rob needs 43.2 feet of border to place around the ceiling and Rob will have 6.8 feet of border left after placing it around the ceiling.
What is distance?
Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.
The perimeter of the ceiling is equal to the total length of border that Rob will need. The perimeter of a square is given by the formula P = 4s, where s is the length of one side of the square.
In this case, the length of one side of the square ceiling is 10.8 feet, so the perimeter is:
P = 4s = 4(10.8) = 43.2 feet
Therefore, Rob needs 43.2 feet of border to place around the ceiling.
Since he has purchased 50 feet of border, he will have:
50 - 43.2 = 6.8 feet
Rob will have 6.8 feet of border left after placing it around the ceiling.
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I need help on this one
Answer:
A
Step-by-step explanation:
Your cell phone plan costs $34.99 per month plus $0.15 for each text message you send or receive. You have at most $40 to spend on your cell phone bill. what is the maximum number of text messages that you can send or receive next month?
Answer:
33 texts
Step-by-step explanation:
34.99+0.15(t)=40
lets say t is number of texts
subtract 34.99 from both sides
0.15(t)=$5.01
divide 5.01 by .15
33.4
but you cant send .4 of a text
so 33 texts
Match the vocabulary word with the correct definition.
Answer:
1. right triangle - a triangle with one angle that measures 90 degrees
2.radius- a line segment from the center of a circle to any point on the circle
3. ray- a part of a line that has 1 endpoint that goes in one direction forever
4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same
5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure
6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure
Step-by-step explanation:
Point P′(–6, –4) is the image of point P(–2, 3) under a translation. What is the image of (5, –1) under the same translation?
A. (9, 6)
B. (–1, –5)
C. (1, –8)
D. (3, 2)
Answer:c
Step-by-step explanation:
9. a - 2a +5
pls help i’m kinda dumb
Find three consecutive integers such that if the third is subtracted from six times the sum of the first and second, the result is 452 more than twice the second.
Answer:
The numbers are 50, 51, and 52.
Step-by-step explanation:
The consecutive integers are (x-1), x, and (x+1).
6*(x-1+x)-(x+1)=452+2x
6x-6+6x-x-1=452+2x
9x = 459
x=51
The numbers are 50, 51, and 52.
what is -2(15 ÷ 5) + 7(-2)
Answer:
-20
Step-by-step explanation:
A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00for 20 hours of work. Find the amount of pay for 31 hours of work. ONLY NUMERICAL VALUE
Answer:
$190.65 for 31 hours
Step-by-step explanation:
P= ha
123=20a
123/20=a
6.15=a
P=6.15h
P= 6.15(31)
p=190.65
Susan runs 22 km in 2 hours and 45 minutes. What is her average speed in km an hour? Explain your answer please!
Answer:
22km= 2 hours and 45 mins
To find speed: Distance/Time
22/2.75 = 8
Your answer 8km/h
Step-by-step explanation: When finding speed, the formula is always distance divided by time. 45 minutes of 60 minutes is 3/4 of an hour, and 3/4 is 0.75 is decimal. So you add the 2 + .75, and you'll get 2.75. After you convert the time, you begin dividing and you'll get your answer!
What is the percent of change from 4 to 1?
Answer:
1 is 25% of 4, so 75% decrease
Step-by-step explanation:
What is the solution set for
3x 2 + 48 = 0 ?
O {6.9, -6.9}
O {4, -4}
O {21, -21]
O {41 , -4; }
Answer:
{ 4i, - 4i }
Step-by-step explanation:
Given
3x² + 48 = 0 ( subtract 48 from both sides )
3x² = - 48 ( divide both sides by 3 )
x² = - 16 ( take the square root of both sides )
x = ± [tex]\sqrt{-16}[/tex] = ± 4i
solution set is { - 4i, 4i }
Please answer correctly !!!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answer:
∠3, it is quite clear
Step-by-step explanation:
4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21
Answer and Step-by-step explanation:
A) A(t) = 5000(1 + 0.012)t
B) A(t) = 106260
A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.
B) When we plug 21 into the equation, we get 106260.
I hope this helps!
HELP ASAP!! WILL GIVE BRAINLIEST ❤️
Find the slope of the line passing through the given points using the slope formula. Enter the slope in
simplest form. Describe the slope as positive, negative, zero, or undefined.
(-5. 19) and (-1,7)
Answer:
[tex]m=-3[/tex]
The slope is negative.
General Formulas and Concepts:
Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 19)
Point (-1, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7-19}{-1-(-5)}[/tex]Simplify: [tex]m=\frac{7-19}{-1+5}[/tex]Subtract/Add: [tex]m=\frac{-12}{4}[/tex]Divide: [tex]m=-3[/tex]Suzy ordered some games online for $19 each. She paid a total of $8 for shipping. The total cost of the purchase was $122. How many games did she buy? 7) Using the word problem above, write an equation to find the number of games Suzy bought. (Hint: Don't do any of the steps to solve it, just write the equation) Your answer
Answer:
6
Step-by-step explanation:
122-8 shipping =114 /19=6
A company makes 130 bags.
49 of the bags have buttons but no zips.
32 of the bags have zips but no buttons.
39 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
130-49 = 81
Answer 81/130
The probability that the bag has buttons is 0.38.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.
Given that, a company makes 130 bags.
Here, the number of favorable outcomes = 49 and the total number of outcomes =130
Now, probability of an event = 49/130
= 0.38
Therefore, the probability that the bag has buttons is 0.38.
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Graph each linear equation that passes through the given pair of points. Use graph paper.
1. (2,2) and (4,5)
2. (0,1/2) and (2,3/2)
3. (-1,2) and (5,0)
4(-5,-3) and (-3,5)
Answer:
The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.
But let's be more complete:
Let's find the equations for each line:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
1) Here the points are (2,2) and (4,5)
then the slope is:
a = (5 - 2)/(4 - 2) = 3/2
y = (3/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)
2 = (3/2)*2 + b
2 = 3 + b
2 - 3 = b
-1 = b
y = (3/2)*x - 1
2) Here the points are (0,1/2) and (2,3/2)
then the slope is:
a = (3/2 - 1/2)/(2 - 0) = 1/2
y = (1/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)
1/2 = (1/2)*0 + b
1/2 = b
y = (1/2)*x + 1/2
3) Here the points are (-1,2) and (5,0)
then the slope is:
a = (0 - 2)/(5 + 1) = -1/3
y = (-1/3)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)
2 = (-1/3)*-1 + b
2 = 1/3 + b
2 - 1/3 = b
5/3 = b
y = (-1/3)*x + 5/3
4) Here the points are (-5,-3) and (-3,5)
then the slope is:
a = (5 + 3)/(-3 + 5) = -4
y = -4*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)
5 = -4*-3 + b
5 = 12 + b
5 - 12 = b
-7 = b
y = -4*x - 7
Now that we have all the equations, we can find the graphs.
where the colors are:
(4) green
(3) orange
(2) Blue
(1) Gray.
HELP ME PLEASE!
Complete the work to find the equation of a line that passes through point (–5, –3) and is parallel to line y – 3x = –7. Step 1: Write the equation of the given line in slope intercept form: y = 3x – 7. Step 2: Determine the slope of the parallel line: m = 3. Step 3: Substitute the slope and given point into y = mx + b to find the y-intercept of the new line. –3 = 3 (–5 ) + b 3 = –15 + b b = 12 Step 4: Write the equation of the line parallel to 3x – y = 7 that passes through point (–5, –3).
Answer:
Y=3x+12 (its the first option)
Step-by-step explanation:
I did the assignment.
The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.
Given :
The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):
Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
Step 2 - The one-point form is given below:
[tex](y-y_1) = m (x-x_1)[/tex]
Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.
Step 4 - Now, substitute the values of slope and the point in the above expression.
[tex](y+3) = 3 (x+5)[/tex]
y = 3x + 2
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Apply the distributive property to create an equivalent expression. (4b + 2e + 3) 3 =
Answer:
12b+6e+9
Step-by-step explanation:
You multiply 3 with every number inside the parentheses.
(3x4b)=12b
(3x2e)=6e
(3x3)=9
Word problem: A High School had a musical in which students ($5 tickets) and adults ($7 tickets) attended. If a total of 47 tickets were sold and they made a total of $269. How many student tickets were sold and how many adult tickets were sold?
Answer:
30 of them were students
17 were adults
Step-by-step explanation:
bunny and rabbit problems
if they were all adults
7 x 47 = 329
329 - 269 = 60
60/ (7-5) = 30
30 of them were students
17 were adults
For a class of students, the association between GPA and SAT math score is roughly linear. The
equation of the least-squares regression line relating y=SAT math score to x = GPA is û = 410.54 + 67.3x. Predict the SAT math score for Jessica, who has a 3.00 GPA.
Answer:
612.44
Step-by-step explanation:
Given the linear regression equation between SAT score and GPA
y = 410.54 + 67.3x
Where
y = SAT math score ; x = GPA
THE SAT math score for Jessica who has a GPA of 3.00
x = 3
y = 410.54 + 67.3(3)
y = 410.54 + 201.9
y = 612.44
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Answer:
whats ur question?
Step-by-step explanation:
Answer:
I don't understand
Step-by-step explanation:
Sorry, I cannot help
Im so confused pls help
Step-by-step explanation:
[tex] f(x) \: = \: \frac{4}{5} - \frac{5}{x + 1} [/tex]
[tex]f(x) \: \: = \: \: \frac{(4)(x + 1) - 5(5)}{5x + 5} [/tex]
[tex]f(x) \: \: = \: \: \frac{4x + 4 - 25}{5x + 5} [/tex]
[tex]f(x) \: \: = \: \: \frac{4x - 21}{5x + 5} [/tex]
f(x) = g(x)
[tex] \frac{4x - 21}{5x + 5} = \frac{2}{5x + 5} [/tex]
4x - 21 = 2
x = (21 + 2)/4
x = 5.75
Your neighbor leaves his yard, which is 120 ft from the bus stop. He begins to
walk toward you at the bus stop and then passes you. He walks at a speed of
4 ft/s. His distance d from you after t seconds is given by d = 1120 - 4tl. After
how many seconds is your neighbor 30 ft from you?
Answer:
22.5 seconds and 37.5 seconds
I hope this is helpful!
Why would a deferred annuity or annuities due be preferred as a retirement investment?
I believe the answer is: The tax deferred nature.
Investment is considered to has tax deferred nature if the tax payment for the investment can be made years later after its due. This favoured as a retirement plan because it make the investors have more money to spend during the productive years prior to retirement.
Using the divisibility rules, explain why 678 is divisible by 2, 3, and 6.
Answer:
678
678 is even, so it's divisible by 2
6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3
Since 678 is divisible by both 2 and 3, it has to be divisible by 6
Step-by-step explanation:
Help me plzzzzz
A cyclist rides her bike at a speed of 9 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 10 minutes? Do not round your answers.
Answer:
per minute: 0.15 km
in 10 minutes: 1.5
Step-by-step explanation:
there are 60 minutes in an hour. we need to find the constant rate of change (is that the name sorry). so 9/60 is 0.15. now we know she goes 0.15 km per minute. then do 10 times 0.15 since 10 minutes. you get 1.5. now we know.
I’m not sure how to do this, someone please help.
Answer:
A
Step-by-step explanation:
Answer: It is E (3, -7)