Find the area of a room that has a length of 3x + 1 and a width of 2x + 3.
Answer:
6x^2+11x+3
Step-by-step explanation:
Area= Length*Width
Area= (3x+1)(2x+3)
Use method FOIL (Front,Out,In,Last)
(3x*2x)+(3x*3)+(2x*1)+(3*1)
= 6x^2+9x+2x+3
Simplify:
6x^2+11x+3
Suppose babies born in a large hospital have a mean weight of 3831 grams, and a variance of 108,900. If 65 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 3882 grams? Round your answer to four decimal places
Answer:
0.8944
Step-by-step explanation:
We start by calculating the z-score
To calculate the z-score, we shall need the standard deviation
Mathematically, standard deviation is square root of variance
that will be; SD = √108,900 = 330
Formula for z-score is;
x-mean/SD/√n
where n is 65 in this case
z-score = (3882-3831)/330/√65 = 1.25
The probability we want to calculate is;
P( X < 1.25)
we can use the standard normal distribution table for this
Using the table;
P( X < 1.25) = 0.89435 which is 0.8944 to 4. decimal places
Answer:
0.8944
Step-by-step explanation:
3 divided by 2/5
A. 7
B. 7 1/5
C. 7 1/2
D. 8
The answeris (71/5)..
Answer:
C
Step-by-step explanation:
3 divided by 2/5 will become 3 times 5/2
multiply the numerator so 15
and the denominator is 2
15/2 is 7.5
so 7 and 1/2
so your answer is C
Type the correct answer in the box. Use numerals instead of words. What value of x makes this equation true? -2x + 3 = -15
What does x =
Answer:x=9
Step-by-step explanation:
-2x+3=-15
Subtract 3 on both sides:
-2x+3-3=-15-3
-2x=-18
Divide -2 on both sides:
-2x/-2=-18/-2
x=9
If the expression (- 2x + 3) is equivalent to (- 15), then [x] is equivalent to 9.
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the equation as follows -
- 2x + 3 = - 15
The given equation is -
- 2x + 3 = - 15
Solving, we get -
- 2x = - 15 - 3
- 2x = - 18
2x = 18
x = 9
Therefore, if the expression (- 2x + 3) is equivalent to (- 15), then [x] is equivalent to 9.
To solve more questions on functions, expressions and polynomials, visit the link below -
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HELPPPPPPP ASAPPPPP PLSSSSSA
Which assignment is that??
The pizza shop sells artwork by local artists. For each piece it sells, the shop receives a 15 percent commission. The most expensive piece it ever sold was priced at $225. Which expressions represent how much the shop received? Check all that apply.
Answer:
The 15 percent commission is what the shop received.
Step-by-step explanation:
It said that the most expensive piece it ever sold was 225
not that the most money they made is 225
a and b
Step-by-step explanation:
Please help I am doing a timed test I will choose brainliest
Write the standard form of the equation of a line with a slope of 3 passing through the point (-1, -5).
Select one:
a. -x + 3y + 14 = 0
b. x - 3y - 14 = 0
c. 3x - y - 2 = 0
d. -3x + y + 2 = 0
Step 1: We start by writing the equation of the line in slope-intercept form by solving for b.
[tex]-5 = 3(-1) + b\\\\-5 = -3 + b\\\\-2 = b\\[/tex]
Step 2: Now we set up the equation of the line in slope-intercept form.
[tex]y = 3x - 2[/tex]
Step 3: We can now convert the above equation from slope-intercept form to standard form.
[tex]y = 3x - 2\\\\-3x + y = -2\\\\-3x + y + 2 = 0[/tex]
The equation of the line in standard form is: D: -3x + y + 2 = 0.
Find the slope and the y-intercept of the line.
y = 8x-1
Answer:
Slope: 8 Y-intercept: -1
Step-by-step explanation:
This equation follows the format of y = mx + b. M would be the slope, b would be the y-intercept.
PLS HELP ILL GIVE BRAILIST
Answer:
14 hrs
Step-by-step explanation:
just keep adding up the miles till u get to 804 then u find out what half of 268 is which it is 134 then u add 804 plus 134 to get 938 then u find out how many hours that is which half 4 hours is and 2hrs
In response to very high demand, a new bike has been marked up by 25% and is now selling for $210.00. How much was the bike before the mark-up?
Answer:
210.00 divided by 4 = 52.5 then you would subtract 210 by 52.5 and you would get 157.5.
Step-by-step explanation:
What is the slope of the line that passes through the points (-4, 4)(−4,4) and (-6, 6) ?(−6,6)? Write your answer in simplest form.
Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year
Which equation can be used to determine the number of years, 2, at which the trees will be an equal height?
A:14 + 12x= 16 + 2x
B:16 + 12x = 14 +2x
С:12 + 16x =2 + 14x
D:12 + 14x= 2 + 16x
Answer:
The answer is D
The equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year.
Variety [A] = 14x + 12
Variety [B] = 16x + 2
The equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
Therefore, the equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
To solve more questions on straight lines, visit the link below-
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1. A recipe for a pan of brownies requires 1.50
cups of milk, 0.675 cups of sugar, and 1.05
cups of oil. How many cups of ingredients
will there be in the mixing bowl?
Answer:
3.225 cups
Step-by-step explanation:
1.50 cups + 0.675 cups + 1.05 cups = 3.225 cups
1.50 cups
1.05 cups
0.675 cups
3.225 cups
Given that x=8 and y= 12, calculate the value of x3 + y/4
Answer:
72
Step-by-step explanation:
8 times 3 = 24
12 divided by 4 = 3
24 times 3 = 72
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Solve by factoring.
x^2 + 6x = -9. Hint: This is a double root.
Answer:
x=-3
Step-by-step explanation:
my work is in the picture. lmk if you need me to explain more
Harriet needs to ship a small vase. The box she will use has a volume of 216 cubic inches. If the side lengths are all the same, what is the length of each side of the box?
Answer:
1080
Step-by-step explanation:
Insert brackets to make this calculation correct.
4 - 1 x 2 = 6
Answer:
(4-1)x2=6
Step-by-step explanation:
(4-1)x2=6
(3)X2=6
6=6
Answer:
[4 - 1] x 2 = 6
Step-by-step explanation:
Test out each possible solution.
Problem: 4 - 1 x 2 = 6
#1: [4 - 1] x 2 = 6
4 - 1 is 3.
3 x 2 is 6.
6 = 6 ✅
#2: 4 [-1 x 2] = 6
-1 x 2 is -2.
-2 [tex]\neq[/tex] 6 ❎
Therefore, #1 is correct.
What is the system of equations represented by the table of values for continuous
linear functions, f(x) and g(x), shown below?
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
A high school coach needs to buy new athletic shorts for 15 members of the basketball team. The coach must spend less than $200 and needs to determine how much he can spend per pair of shorts.
Answer:
Well i dont know the answers but it is 13.33
Step-by-step explanation:
He can spend 13 dollars per pair of shorts
Plz help I’ll mark brainliest
Answer:
J
Step-by-step explanation:
I did it in my head so?? ya
gl
A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents the first bus stop. The location of each stop after that is determined using the same relationships as those between the coordinates of the bus station and the first bus stop.
Which point represents the fourth bus stop?
A.
(11, 8)
B.
(13, 12)
C.
(15, 10)
D.
(19, 12)
Answer:
Y then X
Step-by-step explanation:
cause I know
Answer: C bc i think
A table measures 3.5 ft by 2.5 ft. What is the area of the table?
Answer:
A = 8.75 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of a table is
A = Length x Width
Given: Length=3.5ft and Width=2.5ft
A = 3.5ft x 2.5ft = 8.75 [tex]ft^{2}[/tex]
I have to order it from least to greatest in absolute value, and i dont get it can anyone help?
Answer:
ight A on top since it's the cmallest followed by B,C,D,E
Step-by-step explanation:
After traveling 345 miles, the Johnston family stopped at a rest stop for lunch. Looking at the map, they realized they had completed 3/5 of the trip. If d represents the total distance in miles, which equation can be used to find d?
A. 3/5 divided by d = 345
B. 3/5 x d = 345
C. 345 x d = 3/5
D. 345 divided by d = 5/3
Answer:
B
Step-by-step explanation:
Answer:
B. 3/5 x d = 345
Step-by-step explanation:
During an 8-hour shift, Sophia can make
24 sweaters.
Answer:
so what can we do for Sophia???
LOL
Step-by-step explanation:
Write the equation of the line that passes through the given points. (0,3) and (-17,1)
Whats the answer? Need help ASAP
Answer:
the equation: y=2/17x+3
the slope: 2/17
Step-by-step explanation:
Brainiest to the first CORRECT answer
Step-by-step explanation:
(9.16 * -30)= -27.48
(5.5 x 160)° 880
-6x+3y=-7 x-intercept
Answer:
X=-6 y=3
Step-by-step explanation:
Answer:
7/6
Step-by-step explanation:
-6x+3y=-7
-6x=-3y-7
x=1/2y+7/6
x-int= 7/6
A company's stockwas selling at 24$ a share.A month later it was selling at $30 a share. What is the percent gain
Answer:
20%
Step-by-step explanation:
% increase = (final − initial) / initial × 100%
= (30 − 25) / 25 × 100%
= 20%
Answer:
The percent gain is 25%
Step-by-step explanation:
LSA of a cube is 1600cm2, then its edge is:
Answer:
20 cm
Step-by-step explanation:
A cube has 6 faces. Two of the faces are bases. The other four faces are lateral faces.
Let the area of 1 face = x
4x = 1600 cm^2
x = 400 cm^2
Since the area of 1 face is 400 cm^2, then the side length is sqrt(400 cm^2) = 20 cm
Answer: 20 cm