Answer:
surface area of the rectangular shaped cereal box = 384 ft²
Step-by-step explanation:
The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .
Surface area of the prism is the sum of the area of all the faces. Therefore,
surface area = 2wl + 2lh + 2hw
where
l = length
w = width
h = height
surface area = 2wl + 2lh + 2hw
l = 9 inches
w = 4 inches
h = 12 inches
surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)
surface area = 2(36) + 2(108) + 2(48)
surface area = 72 + 216 + 96
surface area of the rectangular shaped cereal box = 384 ft²
Answer:
The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .
Surface area of the prism is the sum of the area of all the faces. Therefore,
surface area = 2wl + 2lh + 2hw
where
l = length
w = width
h = height
surface area = 2wl + 2lh + 2hw
l = 9 inches
w = 4 inches
h = 12 inches
surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)
surface area = 2(36) + 2(108) + 2(48)
surface area = 72 + 216 + 96
surface area of the rectangular shaped cereal box = 384 ft
Step-by-step explanation:
Sarah is buying plants and soil for her garden! The soil Sarah wants costs $3.50 per bag, and the plants she wants are $8 each. Sarah can buy at most 20 items, as this is all she can fit in her car, and she cannot spend more than $150. Let x represents the number of bags of soil and y represents the number of plants:
Answer:
x+y ≤20
3.50 x +8 y ≤150
Step-by-step explanation:
Hi, the rest of the question is:
How do you write a system of linear inequalities to model the situation?
So, for the first inequality:
The sum of the number of soil bags (x) and plants(y) bought must be less or equal to 20.
x+y ≤20
For the second inequality:
The product of the number of soil bags (x) and the price of each bag (3.50) ; plus the number of plants bought(y) and the price of each plant (8) must be less or equal to 150.
3.50 x +8 y ≤150
In conclusion, the system is:
x+y ≤20
3.50 x +8 y ≤150
The line plot shows the number of bags of grapes,grouped by weight, to the nearest 1/8 pound. How many bags of grapes had a weight of 3/8 pound or less
Answer:
2.25 pounds
Step-by-step explanation:
The diagram showing the weight of bags with grapes is shown in the attached file below.
From the diagram; number of bags of grapes that had a weight of [tex]\dfrac{3}{8}[/tex] pounds or less is:
[tex]\dfrac{3}{8}[/tex] pounds = 3
[tex]\dfrac{1}{4}[/tex] pounds = 4
[tex]\dfrac{1}{8}[/tex] pounds = 1
Thus; the total is = 3+4+1 = 8
However, The total weight of the grapes in the bag that had a weight of [tex]\dfrac{3}{8}[/tex] pounds or less is :
= [tex]\dfrac{3}{8}(3) + \dfrac{1}{4}(4) + \dfrac{1}{8}(1)[/tex]
= [tex]\dfrac{9}{8} + 1 + \dfrac{1}{8}[/tex]
= [tex]\dfrac{9+8+1}{8}[/tex]
= [tex]\dfrac{18}{8}[/tex]
= 2.25 pounds
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
Answer:
$5,368,709.12
Step-by-step explanation:
Kono Dio Da!!
Answer:
5368709.12
Step-by-step explanation:
i just did this earlier
The function f(x)=200/x + 10 models the cost per student of a field trip when x students go on the trip. How is the parent function f(x)=1/x transformed to create the function f(x)=200/x + 10
Answer:
Step-by-step explanation:
We need to explain the transformations applied to 1/x to get f(x). We get f by following the following steps.
1. Multiply 1/x by 200 to get the function 200/x. This represents taking the graph of 1/x and expanding it vertically by a factor of 200.
2. Sum 10 units to 200/x. This represents a vertical shift of 10 units to the graph of 200/x.
8y=4x-32/2 slope intercept form
Answer:
y=0.5x-2
Step-by-step explanation:
8y=4x-32/2
First thing you are going to do is solve for 32/2=16 and then enter it into the equation.
8y=4x-16
Second thing you are going to do is divide everything by 8 to get rid of 8y.
8y=4x-16
-------------
8
4/8=0.5 and 16/8=2
y=0.5x-2
3x-2y=2 in slope intercept form
Answer:
y= - 3/2x + 1
A bag has 4 blue buttons, 2 yellow buttons, and 5 brown buttons. What is the probability of pulling a brown button?
Answer: 5/11
Step-by-step explanation:
There are 11 options, and 5 of them give the outcome you want.
5/11
2x² - x-6=0 resuelve
Answer:
x = -3/2 x=2
Step-by-step explanation:
2x² - x-6=0
Factor
(2x ) (x ) =0
6 = 2*3
2*-2 +3 = -1
(2x +3 ) (x -2 ) =0
2x+3 =0 x-2 =0
2x = -3 x=2
x = -3/2 x=2
Sandy was given this function. f(x)=3x2−24+1/3 She used the method of completing the square to rewrite the function. In this second step of her process, r and s are real numbers. f(x)=3(x2−8x+r)+1/3+s What are the values of r and s? Enter your answers in the boxes.
Answer:
[tex]r = 16[/tex], [tex]s = -48[/tex]
Step-by-step explanation:
The values of [tex]r[/tex] and [tex]s[/tex] can be found with the help of algebraic manipulation on the second-order polynomial described on statement:
[tex]f(x) = 3\cdot x^{2} - 24\cdot x + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2} - 8\cdot x) + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2} - 8\cdot x + 16 - 16) + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2}-8\cdot x + 16) + \frac{1}{3} - 48[/tex]
By comparing each expression, the results are presented below:
[tex]r = 16[/tex], [tex]s = -48[/tex]
What is equivalent to -1/4y -2 1/4y + 1/2 (4-2y) a) -3y + 2 b) -3 1/2y + 2 c) -4y + 4
d) -4 1/2y + 2
Answer:
B. -3 1/2y + 2
Step-by-step explanation:
Our expression is: [tex]\frac{-1}{4} y-2\frac{1}{4} y+\frac{1}{2} (4-2y)[/tex].
Let's first distribute out that parentheses. Remember that distribution is simply taking the sum of the product of the outside term with each of the inside terms. Here, the outside term is 1/2 and the inside terms are 4 and -2y:
[tex]\frac{1}{2} (4-2y)=\frac{1}{2} *4+\frac{1}{2} *(-2y)=2-y[/tex]
Now, we have:
[tex]\frac{-1}{4} y-2\frac{1}{4} y+2-y[/tex]
We want to combine like terms, which means combining all the terms with y in them:
[tex]\frac{-1}{4} y-2\frac{1}{4} y-y+2=\frac{-1}{4} y-\frac{9}{4} y-\frac{4}{4} y+2=\frac{-1-9-4}{4} y+2=\frac{-14}{4} y+2=\frac{-7}{2} y+2[/tex]
Remember that -7/2 can be written as the mixed number -3 1/2, so our final answer is:
-3 1/2y + 2
The answer is thus B.
~ an aesthetics lover
i need the missing blanks .
Answer:
K, (-3.5,-5), E, (3.5, 3)
Step-by-step explanation:
If the quadratic model applies the function f(x) = -0.11688x² + 2.5355x + 7.0238, what is the predicted value and residual when the tree is 7 years old with a height of 19?
Answer:
predicted value = 19.04518
Residual = -0.04518
Step-by-step explanation:
Residual = y - predicted y
In this case y = 19 for a 7 year old tree.
f(7) = 19.04518
Residual = 19 - 19.04518
Residual = -0.04518
The probability that Shruti succeeds at any given free-throw is 80%, percent. She was curious how many free-throws she can expect to succeed in a sample of 12 free-throws.
She simulated 25 samples of 12 free-throws where each free-throw had a 0.8, point, 8 probability of being a success.
Shruti counted how many free-throws were successes in each simulated sample. Here are her results:
Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Give your answer as either a fraction or a decimal.
Answer:
0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either she makes it, or she does not. The probability of making a free throw is independent of other free throws. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that Shruti succeeds at any given free-throw is 80%, percent.
This means that [tex]p = 0.8[/tex]
Sample of 12 free throws:
This means that [tex]n = 12[/tex]
Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{12,10}.(0.8)^{10}.(0.2)^{2} = 0.2835[/tex]
[tex]P(X = 11) = C_{12,11}.(0.8)^{11}.(0.2)^{1} = 0.2062[/tex]
[tex]P(X = 12) = C_{12,12}.(0.8)^{12}.(0.2)^{0} = 0.0687[/tex]
[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) = 0.2835 + 0.2062 + 0.0687 = 0.5584[/tex]
0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Answer:0.8
Step-by-step explanation:in 5 of the 25 stimulated trials, scrutiny continued federal than 10 successes
Reduce the following mixed number 2 2/8
Answer:
2 1/4
Step-by-step explanation:
2 2/8
The top and bottom of the fraction can be divided by 2
2 1/4
Find the exact value of sin 300°.
Answer:
-0.86602540378 or -√3/2
how do you write 2x - 2y = 8 in slope-intercept form ?
Answer:
y=x-4
Step-by-step explanation:
The general scaffold for the slope intercept form is y=mx+b, where m is the slope and b is the y intercept. You can rearrange the equation that you are given like this:
2x-2y=8
-2y=-2x+8
y=x-4
Hope this helps!
Answer:
Rearrange the equation so that it is written in slope intercept form:
y=mx+b.
2x+2y=8.
2y=−2x+8.
y=−x+4.
if anyone know probability stuff pls help w this!!
Answer:
A - 9/34
B - 7/34
Step-by-step explanation:
A girl grabs a lollipop - 9/34 (Event A)
A boy grabs a fruit chew - 7/34 (Event B)
Because there are 34 possibilities in total....
Thanks!
Isaiah was given a gift card for a coffee shop. Each morning, Isaiah uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and after buying 16 cups of coffee, the card had a $5 remaining balance. Write an equation for A(x),A(x), representing the amount money remaining on the card after buying xx cups of coffee.
Answer:
$45-$2.50xx
Step-by-step explanation:
Let first of all determine the original amount on the gift card as follows
amount utilized=$2.50*16=$40
balance left after utilizing $40=$5
original amount on the gift card=amount utilized+balance left=$40+$5=$45
if xx cups of coffee is purchased ,the amount utilized would be xx*$2.50
i.e $2.50xx
The equation for the amount left would total amount on the gift card minus the $2.50xx
equation for amount remaining =$45-$2.50xx
If the questioner has duplicated x,which means he or she meant just x
equation of the amount remaining would=$45-$2.50x
Find the surface area of a right cone that has a diameter of 11.2 feet and a height of 9.2 feet. Round your answer to the nearest hundredth.
Answer:
S=288ft^2
Step-by-step explanation:
d=11.2ft, h=9.2ft
r=d/2=11.2/2=5.6
e=√r^2+h^2=√5.6^2+9.2^2
e=10.77ft
s=πr^2+πre
s=π(5.6)^2+π(5.6) (10.77)
s=91.67π
s≈288ft^2
If the slant height of the cone is 10.77 feet and the radius of the base circle is 5.6 feet. Then the surface area of the cone is 189.48 square feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The height of the cone is 9.2 feet and the diameter is 11.2 feet. Then the radius will be
r = d/2
r = 11.2/2
r = 5.6
Then the slant height of the cone will be
[tex]l = \sqrt{5.6^2 + 9.2}\\\\l = 10.77 \ \rm ft[/tex]
Then the surface area of the cone will be
[tex]\rm Surface \ area = \pi rl\\\\Surface \ area = \pi \times 5.6 \times 10.77\\\\Surface \ area = 189.48 \ ft^2[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
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two integers that multiply to 18 and add to -11
Answer:
-9 and 2
Step-by-step explanation:
What is 13 - 4 x = 1 - x?
Answer:
x=4
Step-by-step explanation
Answer:
x = 4
Explanation:
Which is the correct way to model the equation-+8 = 7x+(-8) using algebra tiles?
1 positive x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 positive unit tiles on the right side
8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
8 positive x-tiles and 1 negative unit tile on the left side; 8 negative X-tiles and 7 positive unit tiles on the right side
VX
Answer:
Step-by-step explanation:
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
Answer:
the answer is c
Step-by-step explanation:
I need answers asap
Answer:
22/24
Step-by-step explanation:
100 POINTS!!!!!! the following stem and leaf plot shows the number of hours that mrs. dixon's students spent on their pre calc work last week. what is the mean absolute deviation for the data
Answer:
11.2467
Step-by-step explanation:
First we need to find the mean
Add up all the data and divide by number of points)
(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30
261/10
26.1
Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points
((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30
11.2467
Answer:
11 16/75
Step-by-step explanation:
Find the mean: sum/n
783/30
26.1
Find individual |x - 26.1| and add them:
|6-26.1| + |7-26.1| + ...... + |50-26.1|
= 20.1 + 19.1 + .... + 23.9
= 336.4
M.A.D = 336.4/30
11 16/75
Humberto deposited $50 in a new account at his bank. The bank pays 5.3% annual simple interest on this account. Humberto makes no additional deposits or withdrawals. How much money will be in his account at the end of 5.5 years?
Answer:
$58.415
Step-by-step explanation:
Initial value: 50 dollars
Independent variable: 5.3%
Dependent variable: Y
This equation can be written in slope intercept form:
[tex]y=mx+b[/tex]
[tex]y= 1.53x+50[/tex]
x= the number of years
[tex]y= 1.53(5.5)+50[/tex]
[tex]y=8.415+ 50[/tex]
[tex]y= 58.415[/tex]
If the point (a,1) lies on the line y = 3x - 5, what is the value of a?
Answer:
a = 2
Step-by-step explanation:
Note that a point uses (x , y).
y = 1
x = a
Plug in 1 for y in the equation, and a for x:
y = 3x - 5
1 = 3a - 5
Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First add 5 to both sides:
1 (+5) = 3a - 5 (+5)
1 + 5 = 3a
6 = 3a
Next, divide 3 from both sides:
(6)/3 = (3a)/3
a = 6/3
a = 2
2 is your value for a.
~
For a field trip 27 students rode in cars and the rest filled three buses. How many students were in each bus if 147 students were on the trip?
Answer:
40 students per bus
Step-by-step explanation:
147 (Og #)-27(Number riding cars, irrelevant)=120
120/3 (# of buses)= 40 students per bus
Answer:
40 students
Step-by-step explanation:
First, let’s find how many students rode the buses.
There was a total of 147 students on the trip, and 27 rode in cars. The rest rode in buses.
The difference between 147 and 27 will be how many took buses.
Subtract 27 from 147
147-27=120
120 students rode the buses. There were 3 buses, and the students were evenly divided between each bus. Divide 120 by 3.
120/3=40
Therefore, 40 students were on each bus.
What is the mean and median of 25,50,58,54,55
Answer:
median = 58
mean= 48.4
Step-by-step explanation:
to find the mean you add all of the numbers and divide it by 5 in this case
A sample space consists of 80 separate events that are equally likely. What is the probability of each? A sample space consists of 80 separate events that are equally likely. What is the probability of each?
Answer:
1/80
Step-by-step explanation:
The probability of selecting each of the event in the sample space is; 1/80
How to Find the Probability?We are given;
Sample Space = 80 separate events
Now, we are told that each event is equally likely to be selected.
Thus;
Probability of selecting each event = 1/80
Read more about Probability at; https://brainly.com/question/251701
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Which reason best describes why you can divide any number by 10 by moving the decimal point one place to the left?
1.Dividing a number by 10 is the same as subtracting the number ten times.
2. Dividing by 10 is the same as removing a zero.
3. Moving the decimal point left makes the number smaller.
4. Moving the decimal point one place to the left makes the number 1/10 of its original value.
4 is the answer
The next best is 3
