Answer:
3x+21=57
Step-by-step explanation:
When we use distributive property we do
[tex]3*x[/tex] and [tex]3*7[/tex] which will like this when rewritten [tex]3x+21=57[/tex]
Check answer:
[tex]3x+21=57\\-21=-21\\3x=36[/tex] [tex]\frac{3x}{3} =\frac{36}{3}[/tex]
x=12 3(12)+21=57
36+21=57
One side of a rectangle is 24 cm longer than four times another side. Find the length of the sides, given that the area of the rectangle is 1260 cm ^ 2 . Enter both sides, separated by a comma. Length of the sides: cm
Answer:
84 cm, 15 cm
Step-by-step explanation:
Check the attachment.
A machine fills boxed at a constant rate. At the end of 35 minutes, it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxed and the number of boxes it has filled?
Answer:
35 divided by 5 = 7
Step-by-step explanation:
Solve the equation 7(x + 4) = -21.
x =
Answer:
-7
Step-by-step explanation:
7(x+4)=-21
x+4=-21/7
x+4=-3
x=-3-4
x=-7
Five is to three as thirty is to what number?
5/3 = 30/x. Multiplying across: 5x = 3 times 30. Solving this gives you 5x = 150, or x = 30.
Determine the solution, if any, to the system of equations below
8x - 2y = 1
-4x + y=3
Show your work.
Answer:
This question cant be determine
Step-by-step explanation:
there's no input
PLEASE HELP ASAP! Find the volume of the prism.
Answer:
5 * sqrt(3)
Step-by-step explanation:
First, find the area of the triangle. Do this by determining the height of the triangle. The main triangle is really two right triangles, so do half of it at a time. This causes the base to become one.
According to the Pythagorean Theorem, the height is the square root of 3.
The area of one half of the triangle is sqrt(3)/2, but you need to double that to find the whole triangle's area, so the whole area is sqrt(3).
Now just multiply by 5.
The answer is 5 * sqrt(3), the one you have selected in the image.
A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all of their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?
How much is the family spending all at the fair?
Answer:
$18.50
Step-by-step explanation:
because there are 6 people, to find out the total discount, we do:
2.50 x 6 = 15
This means that they saved $15 out of the $96. So, to find out the total before the discount, all we have to do is
96 + 15 = 111
Then, to find the cost of 1 ticket, before discount, we do 111 / 6, which gives us:
$18.50
Hope this helps! If you have any further questions, let me know!
- profparis
How many pieces of stone each of size 20 cm x 30 cm x 10 cm are required to construct a wall of 20 m x 60 cm x 2m?
4000 pieces of stones needed
Explanation:
All measurements should be taken in cm unit wise
For wall:
20 m = 2000 cm60 cm = 60 cm2 m = 200 cmFor each stone:
20 cm30 cm10 cmVolume of the wall:
2000 x 60 x 200 24000000 cm³Volume of each stone:
20 x 30 x 106000 cm³Pieces of stone needed:
24000000/60004000 pieces of stonesAnswer:
=> 4000 pieces
Step-by-step explanation:
First change m into cm
20m -> 2000cm
2m -> 200cm
volume of wall = 2000×200×60
=> 24000000 cm³
volume of each stone = 20×30×10
=> 6000 cm³
stone needed = 24000000/6000
=> 4000 pieces
what is the solution to this system of equations?
4x+y=6
x-2y=6
x=2 and y=(-2)
hope it helps...
Answer:
y = ( -2 )
x = 2
Step-by-step explanation:
4x + y = 6 ⇒ ( 1 )
x - 2y = 6 ⇒ ( 2 )
x = 6 + 2y ⇒ ( 3 )
First, let us find the value of y.
For that, we can replace x with ( 6 + 2y ).
Let us use equation 1 for that.
4x + y = 6
4 ( 6 + 2y ) + y = 6
24 + 8y + y = 6
24 + 9y = 6
9y = 6 - 24
9y = -18
Divide both sides by 9.
y = -2
Now let us find the value of x by replacing y with -2.
For that let us take equation 3.
x = 6 + 2y
x = 6 + 2 × -2
x = 6 - 4
x = 2
Which function represents the sequence? 45, 40, 35, 30, 25
Answer:
the function is subtracting 5 from the next number, the next number would be 20. If this helped please mark brainliest
Step-by-step explanation:
WILL MARK BRAINLIEST PLS HELP!! Given the functions f(x) = x ^ 3 + x ^ 2 - 2x + 3 and g(x) = log (x) + 2 what type of functions are f(x) and g(x) ? Justify your answerWhat key features do f(x) and g(x) have in common ? (Consider domain , range, xintercepts , and y intercepts)
The functions f(x) and g(x) are different functions.
How to explain the function?The function f(x) is a cubic function, while the function g(x) is a logarithmic function. The common feature of both functions is their range
The functions are given as:
f(x) = x³ + x² - 2x + 3 and g(x) = log(x) + 2
This means that the function f(x) is a cubic function, while the function g(x) is a logarithmic function.
From the attached graph, we have the following features:
Domain: -∞ < x < ∞
Range: -∞ < y < ∞
y-intercept = 3
x - intercepts = -2.37
Function g(x)
Domain: x > 0
Range: -∞ < y < ∞
y - intercept = None
x - intercepts = 0.01
By comparing the key features above, we can conclude that the common features in both functions are their range
Read more about functions at:
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∠A and \angle B∠B are vertical angles. If m\angle A=(7x-6)^{\circ}∠A=(7x−6) ∘ and m\angle B=(8x-27)^{\circ}∠B=(8x−27) ∘ , then find the measure of \angle B∠B.
Answer: 141 degrees
Step-by-step explanation:
Buddy orders 50 burritos for a conference meeting.
Each burrito costs $5 how much will he spend?
A $316
B $134
C $250
D $562
Pietro is measuring the thickness of his favorite books. He rounds his measurements to the nearest \dfrac{1}{8} 8 1 start fraction, 1, divided by, 8, end fraction inch and records the information on the line plot below. A line plot labeled 0 to 2 with tick marks every one-eighth unit. Dots are plotted as follows: 3 dots above one and one-eighth, 1 dot above one and two-eighths, 4 dots above one and five-eighths, 2 dots above one and six-eighths, and 1 dot above the 2. A line plot labeled 0 to 2 with tick marks every one-eighth unit. Dots are plotted as follows: 3 dots above one and one-eighth, 1 dot above one and two-eighths, 4 dots above one and five-eighths, 2 dots above one and six-eighths, and 1 dot above the 2. What is the total thickness of the two thickest books? \text{ inches} inches
Answer:
3 6/8
Step-by-step explanation:
im probably giving answers to 9 year olds rn LOL and anyways theres a number line there so you can see the heaviest which is 2 and 1 6/8 so then just add them like this 2+1=3+6/8=3 6/8 hope i helped like a 9 year old LOL
help pls!!!
free brainleist
Answer:
28
Step-by-step explanation:
subtract 248 from 360 to get 112, add up all x's to get 4, then divide 112 by 4 to get 28
Answer:
ah P00
Step-by-step explanation:
in a promotion at a local diner ever twelfth customer will get a free hamburger and every ninth customer will get a free milkshake which customer will be first to get a free sandwich and a free drink
what is 2+2x490+30 divided by 100
Answer:
982.3
Step-by-step explanation:
Vanessa wants to play a video game that charges .12 a minute. If ahe has 15.00 to spend how many minutes can she play at most
Answer:
125
Step-by-step explanation:
15/12 you get 125. Then multiple it by 100 and you get 125.
HELLPP PLEASE ASAP!!!!
help?????????? i don't really know how to answer
Answer:
[tex] \fbox{4\:dollars\:and\:99\:cents}[/tex]
Step-by-step explanation:
Given:
Total money Marsha gave = 20$
Total money she received in return = 5.03$
Number of pairs of socks she purchased= 3 pairs
To find: Cost of each pair of socks =?
Solution:
Let the cost of each pair of socks is x, and the equation that satisfies above scenario would be,
[tex]3x + 5.03 = 20 \\ 3x = 20 - 5.03 \\ 3x = 14.97 \\ x = \frac{14.97}{3} \\ x = \cancel{\frac{14.97}{3} } \: ^{4.99} \\ x = 4.99[/tex]
Each pair of socks cost 4.99 dollar which can be written as 4 dollars and 99 cents.
Thanks for joining brainly community!
Answer:
$4.99
Step-by-step explanation:
Since the cashier gave $5.03 in change, Marsha paid $5.03 extra for the 3 pairs of socks. This means that the cost is;
⇒ Cost for 3 pairs of socks = 20 - 5.03 = $14.97⇒ Cost for 3 pairs of socks = $14.97To determine the cost for each pair of socks, we need to divide 3 both sides of the equation obtained above, as it is the cost for 3 pairs of socks.
⇒ Cost for 3 pairs of socks/3 = $14.97/3⇒ Cost for each pair of socks = $4.99Therefore, the cost for each pair of socks $4.99.
find the slope of the line graphed below.
Answer: I got 4/7
Step-by-step explanation:
(-3,1)(4,5)[this points from graph btw]
the formula of slop is [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1} }[/tex]
[tex]\frac{5-1}{4-(-3)\\}\\ \\\frac{5-1}{4+3} \\\\=\frac{4}{7}[/tex]
Each day, Mr. Bowman selects a piece of paper from a bag to determine whether
plece: walk or backyard. Mr. Bowman's students pulled a piece of paper from the bag
results.
Answer : Backyard
Step-by-step explanation:
pls help!!! What is the surface area of the pyramid?
Answer:
SA = 224 ft^2
Step-by-step explanation:
B - base
H - height
SA - surface area
B = 8
H = 10
SA = (B×B) + 4((1/2)×(B×H))
SA = (8×8) + 4((1/2)×(8×10))
SA = 224 ft^2
When the bank returns a check for which there is not enough money in the bank to cover it, what do we call the check?
o uncovered
O irresponsible
O bounced
o free
Help Asap please 100 points
Zero and Negative Exponents 4-30=_
Answer:
-26
Step-by-step explanation:
4-30=-26
What is the measure of each angle in the circle?
36°
40°
45°
60°
Answer:
45 degrees
Step-by-step explanation:
360 degrees is a whole circle, and there are 8 slots
360 / 8 = 45
An alloy weighing 30 lbs is 119 tin The alloy was made by mixing a 15% tin alloy and a 9% tin allov. How many pounds of each alloy were used to make the 11% alloy?
We let x = pounds of alloy that is 15% tin
The problem is modeled by the equation:
0.11(30) = 0.15x + 0.09(30-x)
The equation means that the amount of tin does not change. Also, the amount of alloy (total weight - weight of 15% alloy) is (30-x).
Solving for x:
3.3 = 0.15x +2.7 - 0.09x
.06x = 0.6
x = 10 lbs
30-10 = 20 lbs
10 lbs. of the 15% alloy and 20 lbs. of the 9% alloy
If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where x=√2/2, what is the exact measure of θ?
The exact measure of the angle is 45°.
How to get the angle?
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
[tex]1 = \sqrt{( \frac{\sqrt{2} }{2} )^2 + y^2} \\\\1^2 = \frac{2}{4} + y^2\\1 - 1/2 = y^2\\\\1/\sqrt{2} = y[/tex]
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
If you want to learn more about angles, you can read:
https://brainly.com/question/17972372
Identify the domain of the following rational expression:
7x
3x+15
O All real numbers except 5.
O All real numbers except 15.
O All real numbers except - 15.
O All real numbers except - 5.
The domain for the rational expression as given in the task content is; All real numbers except -5.
Domain of Rational functionsThe domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.
On this note, the expression is undefined when, 3x + 15 = 0.
Hence, the domain is All real numbers except -5.
Read more on rational functions;
https://brainly.com/question/13763081