Noah would like to cover a rectangular tray with rectangular tiles. The tray has a width of 11 1/4 inches and an area of 50 5/8 square inches. Find the length of the tray in inches.
Answer:
67 sq ft
Step-by-step explanation:
The length of the rectangle with an area of 405/8 square inches and a width of 45/4 inches is 9/2 inches.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
We know the area of a rectangle = length×width.
Given, The tray has a width of 45/4 inches and an area of 405/8 square inches.
∴ If area = length×width.
Then, length = area/width.
length = (405/8)/(45/4) inches.
length = (405/8)×(4/45) inches.
length = 9/2 inches.
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explain how to evaluate f(g(0)).
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
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Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
---------------------
We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
Evaluate the expression 3x2+5y for x = 4 and y = 2.
I need this answer ASAP
54 ÷ 6 x (12-4) + 2 =
Answer:
3
Step-by-step explanation:
1. 54÷6 =9
2. (12-4)=8
3. 9-8 = 1
4. 1+2 = 3
5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator
Answer:
a=72[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
56/6*(12-4)+2=n
56/6*8+2-2=n-2
56/6*8/8=(n-2)/8
x=9[tex]\frac{1}{3}[/tex]
x=(n-2)/8
y=74[tex]\frac{2}{3}[/tex]
y=n-2=a
a=72[tex]\frac{2}{3}[/tex]
find the slope of the line that contains (-2,-2) and (-10,-9)
Answer:
[tex] \huge \frac{7}{8} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{ - 9 - - 2}{ - 10 - - 2} = \frac{ - 9 + 2}{ - 10 + 2} = \frac{ - 7}{ - 8} = \frac{7}{8} \\ [/tex]
We have the final answer as
[tex] \frac{7}{8} \\ [/tex]
Hope this helps you
Answer:
7/8
Step-by-step explanation:
Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make
Answer:
6
Step-by-step explanation:
hehdhrhrhrhrbrhhffh
If you made $47,000 in 2020, and are getting a 3% raise, how much will you make in 2021? *
Answer:
48,410$ in 2021
Step-by-step explanation:
3% of 47,000 is 1,410
add the 3% increase to 47,000 to get 48,410$
Answer:
[tex]48[/tex],[tex]410[/tex]
Step-by-step explanation:
__________________________________________________________
[tex]47[/tex],[tex]000[/tex] [tex]in[/tex] [tex]2020[/tex]
[tex]48[/tex],[tex]410[/tex] [tex]in[/tex] [tex]2021[/tex]
__________________________________________________________
[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]3[/tex]% [tex]of[/tex] [tex]47[/tex],[tex]000[/tex] [tex]is[/tex] [tex]1[/tex],[tex]410[/tex]
[tex]47[/tex],[tex]000[/tex] + [tex]1[/tex],[tex]410[/tex] = [tex]48[/tex],[tex]410[/tex]
__________________________________________________________
Hope this helps! <3
__________________________________________________________
13. Solve 2/3 + 5/6 and put answer in simplest
form.
O A. 11/2
B.
c. 76
D.776
Answer:
3/2 or 1 + 1/2
i havent done fractions in a long time but this is what i got from memory
you turn the 2/3 into 4/6 so they can easily be added together to get 9/6 which can be simplified to 3/2 or in proper form 1 + 1/2
PLEASE HELP HELP HELP HELP HELP HELPPPPPP
Answer:
your picture isnt loading can you tell me the problem?
Step-by-step explanation:
Piont P is plotted on the coordinate grid. If point S is 10 units to the left of point P, what are the coordinates of point S?
Answer:
the answer is b
Step-by-step explanation:
because p is at (6,4) and its moving to the left so the y wont change but the x will so subtract 10 units from 6 and you get -4.
An adult seal at a marine park consumes 2,400 kilograms of food in one year. If it consumes the same amount of food every month, how many kilograms of food does the seal consume per month?
Which expression represents 6 less than a number, n?
Answer:
n-6
Step-by-step explanation:
less than is subtraction
6 is taken away from n
n-6
The ratio in the table for distance covered in meters to time taken in hours is constant
Distance Covered im
8
16
32
d
48
Time Taken ihr.
6
12 15 18
Let d = distance covered in 15 hr.
Let t = time taken to cover 8 m.
Which table shows the correct values for t and d?
The table that shows the correct t and d values is
Distance Covered (m) Time Taken (hr)
8 6
32 15
How to determine the correct values for t and d?The table of values is given as:
Distance Covered (m) Time Taken (hr)
8 6
16 12
32 15
48 18
The distance covered in 15 hours is 32 m and the time taken to cover 8 m is 6 hours
When these values are extracted, we have:
Distance Covered (m) Time Taken (hr)
8 6
32 15
The above represents the table that shows the correct t and d values
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What is the equivalent addition problem -9.5 –(-8) – 6.5?
Answer:
8+8+8 or 9.5+8+6.5
I hope this helped u :)
Step-by-step explanation:
15 PTS!!!!!!!!!!!!
What is the product of -2/7 and -3/7?
Answer:
6/49
Step-by-step explanation:
-2 times -3 is 6, and 7 times 7 is 49. therefore, the answer is 6/49.
What is the perimeter of this polygon?
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Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. A rectangle labeled 2 x squared + x minus 6 Which expressions can represent the length and width of the garden? length = x2 – 3 feet; width = 2 feet length = 2x + 3 feet; width = x – 2 feet length = 2x + 2 feet; width = x – 3 feet length = 2x – 3 feet; width = x + 2 feet
D is the correct answer!
Hope this helped with the question you were looking for. Lmk on this problem if you need any help with any other questions!
The expression that can represent the length and the width are 2x - 3 and x + 2 respectively.
Area of a rectanglearea = lwwhere
l = length
w = width
Therefore,
area = 2x² + x – 6
Let's factorise
2x²- 3x + 4x - 6
x(2x - 3) + 2(2x - 3)
Therefore,
(x + 2)(2x - 3)
Therefore, the expression that can represent the length and the width are 2x - 3 and x + 2 respectively.
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which could be the name of a plane?
Answer: where are the options?
Step-by-step explanation:
Answer:
There is not enough information presented to give an answer
Step-by-step explanation:
If you add more information, I will try and answer it for you
Joseph poured 1 liter of orange juice equally into 10 plastic cups how many mil liters are in each cup
What is the distance between the points M (-21,-7) and N (-5,-7)?
A.28 units
B.16 units
C.26 units
D.14 Units
8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?
Answer:
iacbsc kakwc s s k kd sdidv d lm vdfj
Step-by-step explanation:
if you buy $200 headphones and you get 25% off how much money will you save?
Answer: You'll save $50
Work: I just did $200 multiplied by .25 (Percentage of Coupon) and I received the answer $50.
I hope this helps, and Happy Holidays! :)
This is for fun type as many Christmas songs as you can below my fav will get brainiest you will get 35 points as well.
again this is for fun and also HURRY UP AND TYPE only 2 users get to do this
this is the last one so HURRY
Answer:
A
Step-by-step explanation:
Answer: All I want for Christmas is you lyrics lol
I don't want a lot for Christmas
There is just one thing I need
I don't care about the presents
Underneath the Christmas tree
I just want you for my own
More than you could ever know
Make my wish come true
All I want for Christmas is you, yeah
I don't want a lot for Christmas
There is just one thing I need
And I don't care about the presents
Underneath the Christmas tree
I don't need to hang my stocking
There upon the fireplace
Santa Claus won't make me happy
With a toy on Christmas Day
I just want you for my own
More than you could ever know
Make my wish come true
All I want for Christmas is you
You, baby
Oh, I won't ask for much this Christmas
I won't even wish for snow
And I'm just gonna keep on waiting
Underneath the mistletoe
I won't make a list and send it
To the North Pole for Saint Nick
I won't even stay awake to
Hear those magic reindeer click
'Cause I just want you here tonight
Holding on to me so tight
What more can I do?
Baby, all I want for Christmas is you
You, baby
Oh, all the lights are shining so brightly everywhere
And the sound of children's laughter fills the air
And everyone is singing
I hear those sleigh bells ringing
Santa, won't you bring me the one I really need?
Won't you please bring my baby to me?
Oh, I don't want a lot for Christmas
This is all I'm asking for
I just wanna see my baby
Standing right outside my door
Oh, I just want you for my own
More than you could ever know
Make my wish come true
Baby, all I want for Christmas... is you
You, baby
All I want for Christmas is you, baby
All I want for Christmas is you, baby
All I want for Christmas is you, baby
All I want for Christmas is you, baby
All I want for Christmas is you, baby
Step-by-step explanation:
requires that the percentage of the plastic shelves that are defective be no more than 10%. If more than 10% are defective, the Prime Factor Company will reject the lot. To test this, the National Applicance Company randomly selects 573 of the shelves and has them inspected. It turns out that 70 are defective. Use this information and a 5% level of significance to determine if National Applicance should reject the batch.
Complete Question
The National Appliance Company makes refrigerators. One of its suppliers, the Exeter company, produces plastic shelves for the refrigerators and ships them in large lots. The National Appliance Company requires that the percentage of the plastic shelves that are defective be no more than 10%. If more than 10% are defective, the Prime Factor Company will reject the lot. To test this, the National Appliance Company randomly selects 573 of the shelves and has them inspected. It turns out that 70 are defective. Use this information and a 5% level of significance to determine if National Appliance should reject the batch.
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that proportion of defective shelf is less than or equal to 0.10 hence the National Appliance Company should reject that batch of shelfs
Step-by-step explanation:
From the question we are told that
The population of defective plastics is [tex]p = 0.10[/tex]
The sample size is n = 573
The number of shelf that are defective is k = 70
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = 0.1222[/tex]
The null hypothesis is [tex]H_o : p \le 0.10[/tex]
The alternative hypothesis is [tex]H_a : p > 0.10[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{ \sqrt{\frac{p (1 - p)}{ n } } }[/tex]
=> [tex]z = \frac{ 0.1222 - 0.10 }{ \sqrt{\frac{0.10 (1 - 0.10 )}{ 573 } } }[/tex]
=> [tex]z = 1.77[/tex]
From the z table the area under the normal curve to the right corresponding to 1.77 is
[tex]p-value = P(Z > 1.77 ) = 0.038364[/tex]
From the question we are told that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that proportion of defective shelf is less than or equal to 0.10 hence the company should reject theat batch of shelfs
What is the equation of the line –3x–2y=30 in slope-intercept form?
Enter your answer in the box.
Answer:
y = - 1.5x - 15
Step-by-step explanation:
Step 1:
- 3x - 2y = 30 Equation
Step 2:
- 2y = 3x + 30 Add 3x on both sides
Step 3:
y = - 1.5x - 15 Divide 2 on both sides
Answer:
y = - 1.5x - 15
Hope This Helps :)
Answer: y = - 1.5x - 15
Step-by-step explanation:
First, we will add 3x to both sides of the equation.
-2y = 3x + 30
Next, we will divide 2 on both sides of the equation.
y = -1.5x - 15
Answer - y = -1.5x - 15
Solve the following system of equations using a method of your choice.
Write the solution as an ordered pair ( , ) and then you will be prompted to explain your thinking.
4x-2y=4
x+y=10
Answer:
Step-by-step explanation:
cant remember what this method is called but
change the second equation to be y = something
x + y = 10
y = -x + 10
plug in this y= in the first equation to get x
4x -2(-x + 10) = 4
4x + 2x -20 = 4
6x = 24
x = 4
then plug in the x we found into the original second equation
4 + y = 10
y = 6
so your ordered pair would be (4,6)
hope this helps <3
Solve 5 (y + 10) = 7y
Answer:
25
Step-by-step explanation:
Hi there! In order to solve this equation, all you have to do is distribute the 5 to the (y+10) and then shift like terms. Once you do that, you would get 5y+50=7y, and then you subtract the 5y from the 7y in order to get the 50 by itself. That would get you 2y, and from there, you just simply divide the value of 50 by 2y- getting you to 25 as the value of y. I hope this helped! <3 (Please mark as branliest if I got this right!)
Answer:
y = 25
Step-by-step explanation:
Distribute 5 (y+ 10) to get
5y + 50 = 7y
subtract the 5y from both sides to get
50 = 2y
divide the 2 from 2y on both sides to get
25 = y, or y = 25
8.
Mia's booth rental fee at a hair salon is $128 per week. Which table shows the sum of the amount that Mia will pay over the next 8 weeks?
Answer: If you're renting a chair/booth, it's making sure ALL of the costs ... That's $3000 in revenue generated per week or $150K in revenue ... It's waiting for hair to dry.
Step-by-step explanation:
part two thinking a number between 1 and 10 but doble the money!
At Edwards Middle School there are 8 teachers for every 136 students. There are 850 students enrolled at the school. How many teachers are needed?
Answer:
50
Step-by-step explanation:
one teacher per 17 students