Answer:
8x +12
Step-by-step explanation:
The outside factor is applied to each term inside parentheses:
4(2x +3) = 4(2x) +4(3) = 8x +12
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To simplify this expression, we should use the Distributive Property.
It states that
a(b+c)=ab+ac
Let's use it:
4(2x+3)
8x+12
That's the answer.
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Please solve the equation below.
2x+4=3(x-4)
Answer:
x=16Step-by-step explanation:
[tex]\sf 2x+4=3(x-4)[/tex]
[tex]\sf 2x+4=3x-12[/tex]
[tex]\sf 2x+4-4=3x-12-4[/tex]
[tex]\sf 2x=3x-16[/tex]
[tex]\sf 2x-3x=3x-16-3x[/tex]
[tex]\sf -x=-16[/tex]
[tex]\sf \cfrac{-x}{-1}=\cfrac{-16}{-1}[/tex]
[tex]\sf x=16[/tex]
solve the equation below :-
2x+4=3(x-4)
Answer:-x = 16
Explanation:-=> 2x+4 = 3(x-4)
=> 2x+4 = 3x-12
=> 2x+4 - 4 = 3x-12 - 4 (Subtract 4 on both the sides)
=> 2x = 3x-16
=> 2x-3x = -16
=> -x = -16
=> -x/-1 = -16/-1
=> x = 16
What is the length of leg y of the right triangle? (1 point)
A right triangle with hypotenuse 37 and legs 35 and y
A)2
B)8
C)12
D)35
Answer:
C)12
Step-by-step explanation:
[tex] {y}^{2} = {37}^{2} - {35}^{2} [/tex]
[tex] {y}^{2} = 1369 - 1225[/tex]
[tex] {y}^{2} = 144[/tex]
[tex]y = 12[/tex]
{(x,y) | 2x - 3y < 6, x ∈ I, y ∈ I}
{(x,y) | -2x +5y > -10, x ∈ I, y ∈ I}
Answer:
1. (-10,-5)
2.(1/2,-1) 3. All real numbers infinite solution 4.(3 9)
Step-by-step explanation:
A plane travelled at an average speed of 528.6 km/h on a flight. How far did the plane travel in 4.75 hours? Round off your answer to the nearest whole number.
Answer: 2,511 km
Step-by-step explanation:
5828.6*4.75 = 2,510.85 rounded to 2,511
Using a stopwatch, Tyrone determines it takes him 58. 2 minutes to travel 30 miles to work. The stopwatch measures to hundredths of a minute. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work? 1 mile = 5,280 feet 19. 8 feet per second 19. 84 feet per second 45. 3 feet per second 45. 36 feet per second.
The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
Given that,
Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.
We have to determine,
Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?
According to the question,
Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,
the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,
[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]
Substitute the values in the equation,
[tex]\rm Speed = \dfrac{Distance}{Time}\\\\Speed = \dfrac{30}{58.2}\\\\Speed = \dfrac{50}{97} \ miles \ per \ minute[/tex]
If 1 mile = 5,280 feet, then his speed is,
[tex]\rm Speed = \dfrac{50}{97} \ miles \ per \ minute\\\\ Speed = \dfrac{50}{97} \times 5280 \\\\ Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\[/tex]
And 1 minute = 60 seconds, then his speed is,
[tex]\rm Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\\\ Speed= \dfrac{26,400}{97} \times \dfrac{1}{60} \\\\ Speed = \dfrac{4400}{97} \ feet \ per \ second \\\\ Speed = 45.36 \ feet \ per \ second[/tex]
Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
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You’re buying hand lotion. The lotion comes in rectangular pyramid-shaped bottles. Bottle A has a base of 1 in x 2 in, and a height of 6 in. Bottle B is a wider bottle with a base of 1.5 in x 3 in, and a height of 4 inches. Which bottle has more lotion?
Answer:
Bottle B has a larger volume of lotion therefore the correct answer
Step-by-step explanation:
1×2×6=12/3=4 Bottle A
1.5×3×4=18/3=6 Bottle B
Answer:
Bottle B contains 6 in3 of lotion, and Bottle A contains 4 in3. Bottle B contains more.
Step-by-step explanation:
pf
Adrian, Ben and Charlie share some sweets in the ratio 7.4.11
Charlie got 52 more sweets than Adrian. Work out the total amount of sweets.
Answer:
286 sweets.
Step-by-step explanation:
If Adrian had x sweets, Charlie got x+52 sweets.
The number of parts is 7+4+11 = 22.
So Adrian had 7/22 of the total and Charlie had 11/22 = 1/2 of the total.
This means that Ben had 4/22 = 2/11 of the total.
If y is the total number of sweets:
y = x + x + 52 + 2y/11
9y/11 = 2x + 52
2x = 9y/11 - 52.............(1)
Also x + 52 = y/2
y = 2x + 104
2x = y - 104...............(2)
Equating (1) and (2) - (as there is 2x on left side of both equations):-
9y/11 - 52 = y - 104
52 = 2y/11
y = 52 * 11/2
y = 286 sweets.
The first 5 terms of a quadratic sequence are
-1, 5, 15, 29,47
Find the nth term of this sequence.
Step-by-step explanation:
an = 2n^2 - 3 · Anonymous. -1, 5, 15, 29, 47, ... an = 2 n^2 - 3.
The required nth term will be 2n² - 3 in the given quadratic sequence.
What are the sequences?Sequences are defined as an arrangement of numbers that is in a particular order.
The first 5 terms of a quadratic sequence are following as:
-1, 5, 15, 29, 47,
We have to determine the nth term of the given sequence.
As per the given question, we have
-1, 5, 15, 29, 47,
We can rewrite the above numbers in the sequence as
first term = -1 = 2(1)²-3,
second term = 5 = 2(2)²-3,
3d term = 15 = 2(3)²-3,
4th term = 29 = 2(4)²-3,
5th term = 47 = 2(5)²-3
Similarly, nth term = 2n² - 3
Therefore, the required nth term will be 2n² - 3 in the given quadratic sequence.
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What value of t makes the equation true?
tx3 = 12 x 6
Answer: 24
Step-by-step explanation:
tx3 = 12 x 6
3t = 12*6
3t = 72
t = 24
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
y = (x - 5)(5x + 4)-5x^2
Answer:
the constant term is: -20
quadratic term is: -5x^2
Step-by-step explanation:
A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 membership fee and $5 for each class. The second program does not have a membership fee, but charges $10 for each class. For how many classes will the programs cost the same? If the variable c represents the number of classes, what is the other variable for the scenario? d, representing the number of dogs in each class h, representing the number of hours p, representing the number of programs t, representing the total cost.
Answer:
7?
Step-by-step explanation:
The programs cost the same for 7 classes.
Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.
The first program charges $35 membership fee and $5 for each class.
The second program charges only $10 for each class.
Now the total cost say [tex]t_{1}[/tex], for first program can be written in equation form as,
[tex]t_{1} =35+5c[/tex], here c is the no. of classes.
Similarly, the total cost say [tex]t_{2}[/tex] , for second program can be written in equation form as,
[tex]t_{2} =10c[/tex].
We have to find out the no. of classes for which the two programs cost the same.
according to the question,
[tex]t_{1} =t_{2}[/tex]
[tex]35+5c=10c\\10c-5c=35\\5c=35\\c=7[/tex]
Hence for 7 of classes the programs cost the same.
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Answer:
Both graphs have a y-intercept of (0,1) and y=6^x is steeper
Step-by-step explanation:
Plug in 0 for x to find the y-intercept. THey would both be raised to the 0th power meaning both y's equal 1. So, they both have the y-intercept of (0,1).
y=6^x is steeper becuase when you graph it, you can see it is. Also of course 6 is higher than 3.
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Find the common diffrence
2)23,21,19.17
Answer:
goes down by 2 ?
Step-by-step explanation:
23-2=21
21-2=19
19-2=17
17-2=15
HELP!!!!! I DONT KNOW THIS
Answer:
neither
Step-by-step explanation:
exponential grows larger with each step and liner is constant
Answer:
Exponential because you don't start at 0
Step-by-step explanation:
Candi must take 15 ml of Medicine A three times daily, until it is finished. If the bottle of Medicine A contains, 5 L, how many days will she be taking the medication?
Round off your answer to the nearest whole number.
Candi would be taken medicine A for 11 days for her to complete the medication.
1 L = 1000 ml
Candi needs to take 15 ml of Medicine A three times daily. Therefore:
Amount of drug taken by Candi daily = 15 ml * 3 times = 45 ml = 0.045 L
Since the bottle contains 5 L, The number of days she needs to take the madication is:
Number of days = 5 L / 0.045 L = 11 days
Candi would be taken medicine A for 11 days for her to complete the medication.
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Ms. Jackson wants to rent for a week. It will cost the weekly fee plus $0.30 per mile driven. Let m = the number of miles Ms. Jackson drives during the week.
c = cost
w = weekly fee
Equation:
c = 0.30m + w
11,046 as a decimal
Answer:
It cant be converted to decimal or fraction while it is a integer
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How can I use the scale factor to determine if a picture is a reduction?
Answer:
hope it's help pohh mark me brain less
How would four billion, nineteen million, three hundred thirty-seven thousand, two be written in standard form?
rewrite expression as a single power. 5^3/5^6
Answer:
1/125
Step-by-step explanation:
Simply subtract the exponents
in this case 6 - 3 so then its now 5 / 5^3
now just make the numerator a 1
1 / 5^3
5x5x5 = 125
1/125
Answer:
0.008
Step-by-step explanation:
i did 5 to the 3rd power which is 125
Then i did 5 to the 6 power and got 15625
finally I divided the answers and got 0.008 or in 125
Lesson 3: Revisiting Proportional Relationships
20 ÷ ____ = 5 need your help
Answer:
4
Step-by-step explanation:
100 POINTS PLEASE HELP ME 100 POINTS (make fullscreen)
Answer:
1) 64, 2) 6, 3) 26, 4) 33Step-by-step explanation:
#1Sum of interior angles is 180
70 + 46 + x = 180116 + x = 180x = 64#2Sum of interior angles is 180
84 + 7x + 1 + 9x - 1 = 8416x + 84 = 18016x = 96x = 6#3Vertical angles are same, the sum of remaining angles is same for both triangles:
35 + 25 = 34 + x60 = 34 + xx = 60 - 34x = 26#4Exterior angle is same as the sum of non-adjacent interior angles:
5x - 7 + 6x + 3 = 8411x - 4 = 8411x = 88x = 8m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33identicalAnswer:
1) 64, 2) 6, 3) 26, 4) 33
Step-by-step explanation:
#1
Sum of interior angles is 180
70 + 46 + x = 180
116 + x = 180
x = 64
#2
Sum of interior angles is 180
84 + 7x + 1 + 9x - 1 = 84
16x + 84 = 180
16x = 96
x = 6
#3
Vertical angles are identical, the sum of remaining angles is the same for both triangles:
35 + 25 = 34 + x
60 = 34 + x
x = 60 - 34
x = 26
#4
The exterior angle is the same as the sum of non-adjacent interior angles:
5x - 7 + 6x + 3 = 84
11x - 4 = 84
11x = 88
x = 8
m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33
how do you solve this do i need to plpug in the formula
Answer:
B. -2, 2
Step-by-step explanation:
Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...
f(x) = 1/2x +1
If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.
1/2x +1 = √(x +2)
Squaring both sides, we get ...
1/4x² +x + 1 = x +2
1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides
x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4
(x -2)(x +2) = 0 . . . . factor the difference of squares
x = -2, 2 . . . . . . . . . values of x that make the factors zero
The solutions to f(x) = g(x) are x = -2 and x = 2.
_____
Additional comment
The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.
The square of (ax +b) is ...
(ax +b)² = a²x² +2abx +b²
The point-slope equation of a line is ...
y = mx + b . . . . . line with slope m and y-intercept b
my Christmas present to you
Use the original price and the markdown to find the retail price.
Original price: $80; Markdown: 16%
Answer:
its b
Step-by-step explanation:
Answer:
The answer would be $67.2.
Step-by-step explanation: The answer would be $67.2. Take 80, divide it by 100 to get 1% of 80, 0.80. Now since you are taking 16% off the original price (100%), you multiply 0.80 (1%) by 84 (for 84% price), to get $67.2. This means, after the markdown, the 80$ item is now $67.2
Write (3 + 4i) + (8 + 2i) as a complex number in standard form.
А.11 - 6i
В.5 + 12i
C.7 + 10i
D. 11 + 61
Answer:
D. 11+6i
Step-by-step explanation:
3+8+4i+2i
11+6i
8x - 60 less than or equal to 2 (5 - 3x)
Answer:
x less than or equal to 5
i think thats what u wanted
Given SV//TU and SVX=UTX
Prove: VUTS is a parallelogram
Write a paragraph proof.
Thank you! :)
Answer:
ΔSVX ≅ ΔUTX Given
SV // TU Given
SV ≅ TU Corresponding part of congruent triangle
VUTS parallelogram Definition of parallelogram.
Hint: 1) If any one pair of opposite side is congruent and parallel, then the quadrilateral is parallelogram.
2) If two pair of opposite sides are parallel then it is a parallelogram.
Step-by-step explanation:
The value of a small airplane depreciates exponentially every year after it is
purchased. The value, in thousands of dollars, alt), of Plane X, t years after purchase
can be approximated by this function.
Answer: the operation can be said as x( 576-68)t-5= x
Step-by-step explanation:
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