Answer:
1 gallon of gas
= 120/4
= 30 miles
Tiara is making a new dance outfit. She will need 3 2/3 yards of fabric for a shawl. She also needs 1 3/5 yards of fabric for the dress. She is fortunate enough to already have 2 yards of fabric in her possession. If the current price for fabric is $6.75 per yard, how much money will she need to finish her dance outfit?
Answer: 22.05
Step-by-step explanation:
3 2/3 = 3 10/15
1 3/5 = 1 9/15
1 9/15 + 3 10/15 = 4 19/15 = 5 4/15
5 4/15 - 2 = 3 4/15
6.75 x 3 = 20.25
6.75 x 4/15 = 1.80
1.80 + 20.25 = 22.05
Hope this Helps!
(Let me know if you want me to explain how I did the 4/15 part!)
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.18 F and a standard deviation of 0.65 F. Using the empirical rule, find each approximate percentage below.
a.
What is the approximate percentage of healthy adults with body temperatures within 3 standard deviation of the mean, or between 96.23 F and100.3 F?
Answer:
99.7%
Step-by-step explanation:
Empirical rule formula states that:
• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question, we have mean of 98.18 F and a standard deviation of 0.65 F
The approximate percentage of healthy adults with body temperatures between 96.23 F and100.13 F is
μ - 3σ
= 98.18 - 3(0.65)
= 98.18 - 1.95
= 96.23 F
μ + 3σ.
98.18 + 3(0.65)
= 98.18 + 1.95
= 100.13 F
Therefore, the approximate percentage of healthy adults with body temperatures between 96.23 F and 100.13 F which is within 3 standard deviations of the mean is 99.7%
Is - 60 a solution of 1/12*=5?
Answer:
No -60 is not a solution
Step-by-step explanation:
x = 5/12 = 2.400
-60 is not a solution of 5/12, or 1/12*=5.
Hope I helped.
Suppose that Elsa and Frank determine confidence intervals based on the same sample proportion and sample size. Elsa uses a larger confidence level than Frank. How will midpoint and width of confidence intervals compare
Answer:
elsa's interval width will be greater than that of frank
Step-by-step explanation:
first of all we are told that both Elsa and Frank have the same sample proportion so their midpoint is also going to be the same.
now as the confidence level goes higher, so also would the margin of error increase. then the width of the confidence interval would rise so it can be more confident.
from this question elsa has a larger confidence level therefore her intervals width will be greater than franks own.
need help really bad
Answer:
Symbols= P(A^1)
Value: 2/5 , 4/25 , 3/5 , 16/25
Step-by-step explanation:
5. y = 7
Whats the slope
Answer:
The slope is 0
Step-by-step explanation:
At Henry's yearly physical, he measured 5 feet 8 inches tall. If there are 2.54 centimeters in 1 inch, what is Henry's height in centimeters?
Answer:
172.72 centimeters
Step-by-step explanation:
1. 5 ft. = 60 in.
2. 60 in. + 8 in. = 68 in.
3. 68 x 2.54 = 172.72
4. add unit of measurement to your answer
Henry's height in centimeters is 172.72 cm
What is unitary method ?"A process of finding the value of a single unit, and based on this value we can find the required value. "
For given question,
Henry measured 5 feet 8 inches tall.
There are 2.54 centimeters in 1 inch.
that is, 1 inch = 2.54 cm
First we convert Henry's height in inches.
We know that 1 feet = 12 inches
⇒ 5 feet = 60 inches
so, Henry's height in inches would be,
5 feet 8 inches
= (60 + 8) inches
= 68 inches
From given, 1 inch = 2.54 cm
⇒ 68 inches = 172.72 cm
Therefore, Henry's height in centimeters is 172.72 cm
Learn more about the unitary method here:
brainly.com/question/22056199
#SPJ2
Use the graph of f(x) provided to answer the question. What is f(f(-4)?
Answer:
f(f(-4) = -2
Step-by-step explanation:
f(f(-4))
First find the value of f(-4)
f(-4) = 2
Now find f(2)
f(2) = -2
The product of which expression contains four decimal places?
Answer:
D.) 14.2*0.784
Step-by-step explanation:when you calculate it, there is 4 numbers behind the decimal point.
A stick is broken into two pieces, at a uniformly random breakpoint. Find the CDF and average of the length of the longer piece.
Answer:
Step-by-step explanation:
See attachment
Try it
Solve the system of equations.
2x + 3y = 1
5x + 2 = 8
What is the solution?
Answer:
x=6/5 ,y= -7/15
Step-by-step explanation:
we are going to solve this simultaneously.
2x+3y=1.......(i)
and
5x+2=8
5x=6
x= 6/5 .......(ii)
Now let's put value of x into equation number (i)
2x+3y=1
2(6/5) +3y=1
12/5 +3y =1
3y= 1-(12/5)
3y = -7/5
y = (-7/5) ÷3
y= -7/15
all of the following have the same value except A, B, C, D
Answer:
? What is the question?
Step-by-step explanation:
Answer:
where is the rest of the question,,?
Step-by-step explanation:
Graph the line y-3=-1/3(x+2)
Slope: 1/2
y-intercept(s): (0, 7/3)
x: 0, 7
y: 7/3, 0
Step-by-step explanation:
y=-3 -1/3(1+2)=2/3.3=1.3=3
y=3
What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete
your choice.
O A. The slope of the line is
(Type an integer or a simplified fraction.)
O B. The slope of the line is undefined.
[tex]\tt Step-by-step~explanation:[/tex]
Slope = rise/run
[tex]\tt Steps:[/tex]
Rise: The line travels 5 units vertically (up) from the first point to the second.
Run: The line goes 6 units horizontally (left) from the first point to the second.
Slope = rise/run; Slope = 5/6
[tex]\Large\boxed{\tt The~slope~of~the~line~is:~\frac{5}{6}~units }[/tex]
Answer:
Slope = rise/run
Step-by-step explanation:
I have a geometry question
If you roll a die once, what is the probability of rolling a 3?
Answer:
1/6
Step-by-step explanation:
there are 6 sides, and 3 is one of the 6 sides. thus, the answer is 1/6
Answer:
1/6
Step-by-step explanation: there are 6 incomes and 1 number 3 in a die
Select the correct answer from the drop-down menu.
A company sells its products to distributors and boxes of 10 units each. it's profits can be modeled by this equation, where p is the profit after selling n boxes.
p = -n² + 300n + 100,000
Use this equation to complete the statement.
The company breaks even, meaning the profits are only $0, when it sells _____ boxes.
Options for Blank:
A: 200 or 500
B: 500
C: 150
D: 200
Answer:
B. 500Step-by-step explanation:
Given the profit made by a company modeled by the function
p = -n² + 300n + 100,000
The company breaks even when p = 0
To get the number of boxes sold when the company breaks even, we will substitute p = 0 into the equation.
0 = -n² + 300n + 100,000
multiply through by -1
0 = n² - 300n - 100,000
n² - 300n - 100,000 = 0
(n² - 500n) + (200n - 100,000) = 0
n(n-500)+200(n-500) = 0
(n+200)(n-500) = 0
n+200 = 0 and n-500 = 0
n = -200 and n = 500
Since n cannot be negative
Hence n = 500
This means that the company breaks even when it sells 500 boxes
please help asap 14 points
Answer:
can i friend you
Step-by-step explanation:
________ and ________ are two ways that substances pass through a cell membrane out of the cell. A Photosynthesis, diffusion B Diffusion, active transport C Active transport, mitosis D Photosynthesis, mitosis
Answer:
b. diffusion and active transport
Step-by-step explanation:
these are two ways that substances, like nutrients, pass through cell membranes.
Answer:
b
Step-by-step explanation:
Jim is an archaeologist who wants to determine the age of a fossil. The half-life of Carbon-14 is 5730 years. Jim determines there must have been 6.6 grams of Carbon-14 in the fossil when the animal was alive. Now there is only 1.2 grams of Carbon-14 remaining. What is the age of the fossil?
14,092.54
13,119.45
16,345.18
15,540.97
Answer:
14,092.54
Step-by-step explanation:
I just had this question and got it right.
What is the solution to
9x - 8 = 9x + 6 ?
Would it be x=0 or no solution?
Answer:
no solution
Step-by-step explanation:
the x's cancel out, and if you plug in 0 for x, you get -8=6 (which isn't true)
Savannah drove 716 miles on Monday. She drove another 572 miles one Tuesday. About how many more miles did she
drive on Monday than Tuesday?
400
300
200
100
the answer is 144 not sure what you're supposed to do with that. 144 rounded would just be 100.
716 - 572 = 144
3g+h=18 2g+3h=26 what is h and what is g
Answer:
g=4 h=6
Step-by-step explanation:
3g +h = 18 (Equation 1)
2g+3h=26 (Equation 2)
From equation 1
3g+ h =18
h= 18-3g (equation 3)
substitute equation 3 into equation 2
2g+3h= 26
2g+ 3(18-3g)= 26
2g+3×18+3(-3g)=26
2g+54-9g=26
9g-2g= 54-26
7g=28
7g÷7 = 28÷7
g= 4
substitute g into equation 1
3g+h=18
3(4)+ h= 18
12+h= 18
h=18-12
h= 6
Answer:
g = 4; h = g
Step-by-step explanation:
When solving an equation with two variables, the goal is to isolate at least one of the variables so that you can plug it in to the equation to get the other. There are multiple ways to solve this so I'll just be giving one.
3g + h = 18
2g + 3h = 26
In these two equations, I notice that if I multiply the first equation by 3, the two equations will have the same values of h, so I'd be able to isolate g:
9g + 3h = 54
2g + 3h = 26
Now, subtract the second equation from the first to isolate g:
9g + 3h = 54
-2g + 3h = 26
= 7g = 28
= g = 4
Now that we have solved for g, we can plug it into either of the equations and solve for h:
2(4) + 3h = 26
= 8 + 3h = 26
= 3h = 18
= h = 6
And in conclusion, g = 4 and h = 6.
HELP PLEASE !
10 points !!
What is the slope of the function?
Answer:
the answer is -4 because the Y values are going down 4 at a time.
My math teacher,mr.numeric, went to the auto show last weekend. I made the mistake of asking him what he saw.here was his response: I’m glad you asked. I made several interesting observations. As you might have guessed, every red car was a sports car, but I found it odd that half of all the blue cars were sports cars. Interestingly, a salesman told me that half of all the sports cars were red. I counted 40 blue cars and 30 red cars. Now can you tell me how many sports cars were neither blue nor red?
Answer:
10
Step-by-step explanation:
all red cars were sports cars (30) half of the blue cars were sports cars (20) if 30 is half of all the sports cars, and 20 is 2/3 of half, then the 1/3 left is 10.
A lumber supplier sells 96-inch pieces of oak. Each piece must be within ¼ of an inch of 96 inches. Write and solve an inequality to show acceptable lengths.
Answer:
[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]
Step-by-step explanation:
Given that a lumber supplier sells 96 inch Pieces of oak which must be within 1/4 of an inch.
This situation can be represented by the following absolute value inequality:
[tex]|x \: - 96| \: \leqslant \: \frac{1}{4} [/tex].
The absolute value can be thought of as the size of something because length cannot be negative. The length must be no more than 1/4 away from 96.
To simplify this, pretend this is a standard equality, |x-96| = 1/4. 1/4 is the range of acceptable length, 96 is the median of the range, and x is the size of the wood.
First apply the rule |x| = y → x = [tex]\pm[/tex]y
|x-96| = 1/4
x - 96 = [tex]\pm[/tex]1/4
x = [tex]96 \pm 1/4[/tex]
(These are just the minimum, and maximum sizes)
Now with a less than or equal to, the solutions are now everything included between these two values.
Therefore:
[tex]96 - 1/4 \: \leqslant x [/tex] [tex]\leqslant \: 96 + 1/4 [/tex]
With less than inequalities, you must have the lower value on the left, and the higher value on the right.
If x represents the size of the pieces, then the acceptable lengths are represented by this following inequality:
[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]
This is interpreted as x (being the size of the oak) is greater than or equal to 95 3/4, and less than or equal to 96 1/4 in inches.
Atte
Mia
24. Critical Thinking Anika wants to determine the maximum
number of tulip bulbs (t) she can purchase if each bulb costs $1.50.
She will also need to purchase separate pots for each bulb at $1.25
each and a bag of potting soil for $10.00. Set up an inequality to
determine how many tulip bulbs Anika can purchase without
spending more than $20.00, and solve it. Can Anika buy exactly
enough bulbs and pots to spend the full $20.00? Explain. Can you
think of a better inequality to describe the answer?
Noti
My
C
25. Geometry The area of the triangle shown is no more than 10 square inches.
a. Write an inequality that can be used to find x.
Copy
(2x - 3) in.
4 in.
b. Solve the inequality from part a.
What is the maximum height of the triangle?
Klein
Tanis
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Cost per bulb = $1.50
Cost per pot = $1.25
Bag of potting soil = $10.00
Budgeted amount to spend ≤ 20
Cost :
Bag of potting soil + (Cost per bulb + cost per pot)*number of tulip bulbs ≤ 20
$10 + ($1.50 + $1.25)t ≤ $20
$10 + 2.75t ≤ 20
$2.75t ≤ $20 - $10
$2.75t ≤ $10
t ≤ $10/$2.75
t ≤ 3.636
Hence, t = maximum number of tulip bulbs she can purchase is 3.636,
Since the exact number of tulip bulb she can purchase is a decimal which is impossible in an actual scenario. Hence, In other to spend not more than $20.00
t ≤ 3
Barkery’s Bakery sold 20 dog cakes during Week 1 of operation, 27 dog cakes during Week 2, and 34 dog cakes
during Week 3.
a. If this pattern continues, represent the first five
terms of the sequence using a table of values.
Answer:
Week 1 - 20
Week 2 - 27
Week 3- 34
Week 4 - 41
Week 5 - 48
Etc, etc,...
Step-by-step explanation:
The values increase by 7 each week.
Tickets for a drumline competition cost $5 at the gate and $3 in advance. One hundred more tickets were sold in advance than at the gate. The total revenue from ticket sales was $1990. How many tickets were sold in advance?
Answer:
The number of tickets sold at the gate is [tex] G = 211.25[/tex]
The number of tickets sold in advance is [tex] A = 311.25 [/tex]
Step-by-step explanation:
From the question we are told that
The cost of a tickets at the gate is [tex]a = \$ 5[/tex]
The cost of a ticket in advance is [tex]b = \$ 3[/tex]
Let the number of ticket sold in the gate be G
Let the number of ticket sold in advance be A
From the question we are told that
One hundred more tickets were sold in advance than at the gate and this can be mathematically represented as
[tex]G + 100 = A[/tex]
From the question we are told that
The total revenue from ticket sales was $1990 and this can be mathematically represented as
[tex]5 G + 3A = 1990[/tex]
substituting for A in the equation above
[tex]5 G + 3[G + 100]= 1990[/tex]
[tex]5 G + 3G + 300= 1990[/tex]
[tex] 8G + 300= 1990[/tex]
[tex] 8G = 1690[/tex]
=> [tex] G = 211.25[/tex]
Substituting this for G in the above equation
[tex]5 [211.25] + 3A = 1990[/tex]
=> [tex] 3A = 1990 - 1056.25[/tex]
=> [tex] A = 311.25 [/tex]
Each costume needs 46 centimeters of red ribbon and 3 times as much yellow ribbon. What is the total length of the ribbon needed for 64 costumes? Express your answer in meters.
Answer:
I think its 117.76 meters
Step-by-step explanation:
you multiply the 46 x 3 then you get 138 yellow ribbon then 138 + 46 then its 184 then 184 x 6 = 11776
Answer:
117.76 meters
Step-by-step explanation:
46x64=2,944 (red ribbon)
46x3=138x64=8,832 (yellow ribbon)
8,832+2,944=11,776 (all ribbon)
11,776 centimeters converted into meters is 117.76 meters