Answer: Unit rate = 4/35 of a gallon per hour
=============================================
Work Shown:
3 & 1/2 = 3 + 1/2
3 & 1/2 = 6/2 + 1/2
3 & 1/2 = (6+1)/2
3 & 1/2 = 7/2
The faucet drips 2/5 of a gallon in 7/2 hours
2/5 gallon : 7/2 hours
2*(2/5 gallon) : 2*(7/2 hours) ..... multiply both sides by 2
4/5 gallon : 7 hours
(1/7)*(4/5 gallon) : (1/7)*(7 hours) ... multiply both sides by 1/7
4/35 gallon : 1 hour
The unit rate is 4/35 of a gallon per hour.
"Per hour" means "every 1 hour".
Chan Hee bought 6.4 pounds of coffee that cost $9.65 per pound. How much did he spend on coffee
?
Answer: $61.76
Step-by-step explanation:
Multiply the price of coffee ($9.65) times the weight (6.4)
=$61.76
Answer:
50.18
Step-by-step explanation:
.
solve the system of equations
y=x-2
x+y=10
Answer:
Step-by-step explanation:
x + x - 2 = 10
2x - 2 = 10
2x = 12
x = 6
y = 6 -2
y = 4
(6,4)
someone pls help, find the length of the segment
the segment is 4 units long
hope this helps
Help:(
At a manufacturing plant where switches are made, it is a known fact that 2% of all switches are defective. If two
switches are used in a device, what is the probability that both switches are good?
0.9604
b. 0.02
C. 0.98
d. 49
Answer:
A) 0.9604
Step-by-step explanation:
Because it is.
Evaluate 64 to the power of 1/2 x 10 to the power of -2
4 Rosie has 150 caramel
apples to sell. Each caramel apple is covered with one topping.
of the caramel apples are covered with peanuts.
are covered with chocolate chips.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
F
50
G 80
H 70
J 30
7.3B
Answer:
I'd say 50
Step-by-step explanation:
I just divided 150 by 3 since I only saw 3 toppings.
Convert 6 feet to meters.
Conversion table:
1 meter = 3.281 feet
Answer:
6 feet = 1.8288 meters
Step-by-step explanation:
Hope this helps and have a phenominal day!
emilio worked for 19.5 hours he earned 497.25 how much did he earn per hour?
Answer:
25.5 per hour
Step-by-step explanation:
497.25/19.5
Answer:
497.25 devided by 19.5= $25.5 per hour
Step-by-step explanation:
Write a pair of numbers whose greatest common factor is 10 will give brainlist
Answer:
20 and 10
Step-by-step explanation:
Answer:
20 ,10
Step-by-step explanation:
hope it helps
4p+2q=62
8p−q=59
Multiply 4p+2q=62 by 2, then subtract 8p−q=59 from the result.
Multiply 8p−q=59 by 2, then add the result to 4p+2q=62.
Do both strategies work for solving the system? If so why?
Answer:
3/2 and 6/9
Step-by-step explanation:
the teacher said i was right
What is the y-intercept of the line with equation 3y - 4x = 9?
Answer: (0, 3)
Step-by-step explanation: To find the y-intercept, we can plug a 0 in for x.
So we have 3y - 4(0) = 9.
This simplifies to 3y = 9.
Dividing both sides by 3, we find that y = 3.
So our y-intercept is 3 which we can write as the ordered pair (0, 3).
Whats the answers please
Answer: D,C,B
Step-by-step explanation:These are the answers
Instructions
All of the points in the picture are on the same line.
YA
(6, 10)
(a, 8)
(4.b)
(2, 2)
What is the slope
each square below represents one whole
Answer:
hello…
the colored part is 20%
Calculate the area of the trapezoid.
12 mm
5 mm
9 mm
________square millimeters
Answer:
52.5 square millimeters.
Step-by-step explanation:
Area of a Trapezoid = (a+b/2)h
= (9+12/2)•5
=(21/2) • 5
= 10.5 • 5
= 52.5 square millimeters
hope this helps!
Answer:
52.5 mm^2 (square millimeters)
Step-by-step explanation:
Just split the figure into two sections to make a rectangle, and a right triangle (This whole figure can be thought of as a composite figure)
Once that is done, you will notice that the length and width of the rectangle is 9mm by 5mm, and the triangle is 3mm by 5mm (because 12mm - 9mm is 3 mm, and the height of the triangle is shared with the width of the rectangle).
The area of a triangle is 1/2(base×height) [just as a triangle is half of a rectangle], so the area of the rectangle is (length × width).
Therefore the 9mm by 5mm rectangle has an area of 9×5 mm = 45 mm^2, and the 3mm by 5mm triangle has an area of 1/2(5×3) = 15/2 = 7.5 mm^2.
Add both areas to find the total area:
45mm^2 + 7.5mm^2 = 52.5 mm^2.
____________________________
Or using the formula for the area of a trapezoid: A = h (b1 + b2) / 2
Where A is the area, b1 is the first base, b2 is the second base, and h is the height of the figure.
Given that our first base is 9, second base is 12, and our height is 5.
A = h ( b1 + b2 ) / 2 → A = 5 ( 9 + 12 ) / 2 → 5 ( 21 ) / 2 → 105 / 2 → 52.5
Then just put this quantity in mm^2 because it is the area of the figure in that unit.
→ 52.5 mm^2
_____________________________
For the expression 5-5x to have a negative value, what must be true about the value of x?
Answer:
x>1
Step-by-step explanation:
let's make this an inequality.
5-5x<0
let's solve.
-5x<-5
x>1
therefore, the value of x must be larger than 1 for this statement to make sense.
The value of x has to be greater than 1 in order for the expression to make sense.
are 3,000:18,000 and 10,000:32,000 equivalent
Answer:
No
Step-by-step explanation:
they are not equivalent
2x^2+2=3x complete the square i need full explaination ASAP
Answer:
x = 3/4 + √7i/4
x = 3/4 - √7i/4
Step-by-step explanation:
2x² + 2 = 3x
Subtract 3x from both sides so it equals 0:
2x² - 3x + 2 = 0
Divide both sides by 2:
x² - 3/2x + 1 = 0
Subtract 1 from both sides:
x² - 3/2x = -1
Take -3/2 and multiply it by 1/2 then square it:
(-3/2 • 1/2)²
9/16
Add this to both sides:
x² - 3/2x + 9/16 = -1 + 9/16
Rewrite the perfect square on the left and add the terms on the right:
(x - 3/4)² = -7/16
Square root both sides to get rid of the square:
x - 3/4 = ± √-7/16
Simplify the radical:
x - 3/4 = ± √7i/4
Add 3/4 to both sides:
x = 3/4 ± √7i/4
Your two solutions are:
x = 3/4 + √7i/4
x = 3/4 - √7i/4
You can also convert to decimal if you need to (but I don’t recommend it):
x = 0.75 + 0.661438i
x = 0.75 - 0.661438i
Hope this helps!
Which term describes −8/27?
Answer:
8/27. Though the question is a bit confusing. If your asking which term describes it, its this a multiple choice question?
Step-by-step explanation:
8 /27
is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions :
Find the GCD (or HCF) of numerator and denominator
GCD of 8 and 27 is 1
Divide both the numerator and denominator by the GCD
8 ÷ 1
27 ÷ 1
Reduced fraction:
8 /27
Therefore, 8/27 simplified to lowest terms is 8/27.
Answer:
-8/27
Step-by-step explanation:
I have no idea how to do this
Answer:
it's ok!! thats why you have us!! we're here to help!
13/z
have a nice day!! also hope this helps!
Step-by-step explanation:
Answer:
13 on top
Z on the bottom
Step-by-step explanation:
6 plus 7 is 13
Can someone help me with this please
Okay I will help you.
9 7/9 simplified and in mixed number form.
PLEASE MARK ME BRAINLIEST IF I'M RIGHT!! THANKS
pls help will give brainliest
Answer:
14 units
Step-by-step explanation:
Answer:
[tex]\sqrt{116[/tex] ( award branliest :) )
Step-by-step explanation:
When you insert both points into the distance formula which is
d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex] you arrive at the final answer of [tex]\sqrt{116}[/tex]
searching online for airline tickets. Two weeks ago, the cost to fly from to was $210. Now the cost is $355. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:ggStep-by-step explanation:
Answer:
192%
Step-by-step explanation:
355+50=405
405•100/210=192.857%
increse of 192.857%
John had a baseball cards until he gave x cards away. How many cards does he have now?
Answer:
I don’t think the question makes sense
Commutative property can be expressed as
Answer:
a+b=b+a, where a and b are integers
UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13). The Director of Institutional Research at UCF is interested in testing this information. She decides to conduct a survey of 50 randomly selected recent graduate economic students. The sample mean is $43,350 and the sample standard deviation is 15,000. Alpha = 0.01
Answer:
There is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.
Step-by-step explanation:
In this case we need to test whether the mean starting salary of a graduate with a bachelor in economics is $48,500.
The information provided are:
[tex]\bar x=\$43350\\s=\$15000\\n=50\\\alpha =0.01[/tex]
The hypothesis for the test can be defined as follows:
H₀: The mean starting salary of a graduate with a bachelor in economics is $48,500, i.e. μ = 48500.
Hₐ: The mean starting salary of a graduate with a bachelor in economics is different from $48,500, i.e. μ ≠ 48500.
As the population standard deviation is not known we will use a t-test for single mean.
Compute the test statistic value as follows:
[tex]t=\frac{\bar x-\mu}{s/\sqrt{n}}[/tex]
[tex]=\frac{43350-48500}{15000/\sqrt{50}}\\\\=-2.42773\\\\\approx -2.43[/tex]
Thus, the test statistic value is -2.43.
Compute the p-value of the test as follows:
[tex]p-value=2\times P(t_{49}>-2.43)=0.0188[/tex]
*Use a t-table.
Thus, the p-value of the test is 0.0188.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
p-value = 0.0188 > α = 0.01
The null hypothesis will not be rejected at 1% level of significance.
Thus, concluding that there is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.
If jacks age is three years more than twice Trinas age, t, then which of the following represents the sum of their ages in terms of it
1. 2t+3
2. 2t +3t
3. 2t^2+3t
4. 3t+3
What is the estimated sum of 503, 472, 486, 499, 539, and 522?
Answer:
3021
Step-by-step explanation:
Answer:
Your answer is: Estimated is: 3,000
The real answer was:
↓
3,021.
Step-by-step explanation:
Hope this helped : )
How do you do these questions and explanations please?
Step-by-step explanation:
1. Standard error is SE = σ / √n. As n increases, SE decreases.
2. Degrees of freedom is d = n − 1. As n increases, d increases.
3. The t statistic is t = (x − μ) / SE. As SE decreases, t increases.
4. As n increases, t* decreases and approaches z*.
5. As the t statistic increases, the P-value decreases.
6. Margin of error is t* times SE. As n increases, MoE decreases.
7. The width of the confidence interval is 2 MoE. As MoE decreases, the width of the confidence interval decreases.
Can you guys help me with this geometry problem tysm
Answer:
m∠UVW = 12°
m∠XYZ = 78°
Step-by-step explanation:
m∠UVW = (x - 10)°
m∠XYZ = (4x - 10)°
∠UVW + ∠XYZ = 90°
(x - 10) + (4x - 10) = 90
x - 10 + 4x - 10 = 90
5x - 20 = 90
5x = 110
x = 22
m∠UVW = (22 - 10)° = 12°
m∠XYZ = (4(22) - 10)° = 78°