the first two professors did not know if everyone wanted coffee because the third professor had to choose yes or no if he wanted coffee. the first two professors were waiting for the third to say something, and when he said no, they knew he did not want coffee. if one of the first two professors said no, the answer would be no.
Omar's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs $4.10 Omar per pound, and type B coffee costs $5.30 per pound. This month, Omar made 141 pounds of the blend, for a total cost of $640.50. How many pounds of type A coffee did he use?
Hey there! I'm happy to help!
Let's use the variables A and B to represent the number of pounds used of types A and B.
4.10A+5.30B=640.50
A+B=141
Let's rearrange the bottom equation to solve for B.
A+B=141
Subtract A from both sides.
B=141-A
We can put this value of B into the first equation to solve for the number of pounds of type A Omar used.
4.10A+5.30(141-A)=640.5
We use distributive property to undo parentheses.
4.10A+747.3-5.3A=640.5
We combine like terms.
-1.2A+747.3=640.5
Subtract 747.3 from both sides.
-1.2A=-106.8
Divide both sides by -1.2
A=89
Omar used 89 pounds of type A coffee in this month's blend.
Have a wonderful day! :D
which of these equations or inequalities below are true 4 - 5< -2
Answer:
4-5<-2 is false it should be 4-5>-2
Step-by-step explanation:
Answer:b
Step-by-step explanation:
Maisie has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighbor’s dogs. How many days will Maisie have to walk the dogs to earn enough money to buy the tickets? Let d = the number of days worked.
Subtract 50 from 125
75
Divide by 15 (number of dollars per day)
5
If Maisie walks her neighbors dogs for 5 days, she will save up to a total of 125
Hope this helps :)
Answer:
✔ 50 + 15d = 125
What equivalent equation can you write after combining like terms?
✔ 15d = 75
How many days will Maisie have to walk the dogs?
✔ 5 days
Step-by-step explanation:
took. test.
What is the first step to evaluate 28-64\div828−64÷828, minus, 64, divided by, 8?
Answer:
64 Divided by 8
Step-by-step explanation:
1) 6,875 28
In the problem above,
(estimate: 6,875 28 as 6,000 + 30 = 200).
After the first digit is placed in the hundreds place in the quotient and students have
divided, multiplied, subtracted, and compared, the student should bring down the 7.
Now, estimate 1270 28 and perform a second division (repeat).
1,270 28 is estimated as 1,200 + 30 = 40.
Students then divide, multiply, subtract, and compare the remainder to the divisor,
making sure it is smaller.
Finally, perform 115 -28, by estimating, dividing, multiplying, subtracting, and
comparing
After writing the remainder in the quotient, the division is complete.
What is the Quotient? Answer:
Answer:
?
Step-by-step explanation:
Can you help me plz?
Answer:
3.048 meters
Hope this helps
Question 6 of 15, Step 1 of 1
Correct
Two trucks leave a warehouse at the same time. One travels due east at an average speed of 58 miles per hour, and the other travels due west at an average speed of
65 miles per hour. After how many hours will the two trucks be 369 miles apart?
Answer:
3 hours
Step-by-step explanation:
369 divided by (58+65)
2.64 gallons = how many liters
Answer:
9.9924 liters
Step-by-step explanation:
there are 3.785 liters in one gallon
multiply 3.785 liters times 2.64
that comes out to 9.9924 liters
A train travels at a constant speed of 60.4 miles per hour for 101.5 minutes. What distance does the train cover?
Answer:
102.2 miles
Step-by-step explanation:
First, convert the minutes to hours:
101.5/60
= 1.69 hours
Multiply this by 60.4 to find how many miles it covered:
= 102.2 miles
The distance from the green point on the parabola to the parabola's focus is
11. What is the distance from the green point to the directrix?
Focus
11
Directrix
O A. 11
B. 9.5
C. 5.5
Answer:
11
Step-by-step explanation:
sawarasenaaa kimi wa-
Simplify the ratio 45 to 75
The GCF of 45 and 75 is 15.
So, divide both numbers by 15.
45/15 = 3
7515 = 5
Therefore, the simplified version of the ratio is 3 to 5
Best of Luck!
Point B lies on segment AC . Find the length of segment BC if AB = 4 mm and AC = 4 cm.
Answer:
4cm - 4mm = 3.6 cm
So, B and C equals 3.6 cm
Radianes a grados 5 pi sobre 3
Answer:
5pi/3x180grados/piradianes
900/3=300 grados
Step-by-step explanation:
rochelle needs to pick a frame that measures 7 6/11 inches on each side ?
no the frame will not fit
7 6/11 =7.545454
7.545454 is larger than 7.5
Kaleb can skateboard 75 feet in 25 seconds. How far can he skateboard in 3.25 minutes?
Answer:
585 Feet
Step-by-step explanation:
First, you have to consider how much seconds in a minute. 60.
Then, multiply 75 feet to make it match to 60 seconds. So 60/25. You get 2.4. You multiply 2.4 by 75 to get 180 feet per minute.
Finally, you multiply 180 by 3.25, as it is 3.25 minutes.
Use the number line to find 1/4+-21/8
Answer:
[tex]-\frac{19}{8}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}-\frac{21}{8}=\frac{2}{8}-\frac{21}{8}=\frac{2-21}{8}=-\frac{19}{8}[/tex]
The required number line represents 2 whole intervals (16/8) and then 7 more parts (7/8) from 0, and ends up at the point marked 2 3/8.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
To add fractions with different denominators, we need to find a common denominator. In this case, we can use 8 as the common denominator:
1/4 + -21/8
1/4 - 21/8
2/8 - 21/8
-19/8
-2 3/8
To represent 19/8 on a number line, we need to divide the interval between 0 and 3 into 8 equal parts, and then count 23 of these parts from 0.
The number line would look something like below as shown.
Thus, the required number line represents 2 whole intervals (16/8) and then 7 more parts (7/8) from 0, and ends up at the point marked 2 3/8.
Learn more about the number line here:
brainly.com/question/17617832
#SPJ3
A circle has a radius of 3.93 inches. Using the correct number of significant digits, find the circumference and the area of the circle.
The circumference is ____ in.
The area is ____ in.
Answer:
The circumference is 24.69 in.
The area is 48.52 in.
Step-by-step explanation:
Circumference rule => Cf=2πrSo, Cf=2π(3.93)=24.69in
Area rule => A=πr^2So, A=π(3.93)^2=48.52in
3. Andrew wants to buy exercise equipment that costs $140 and the
tax is 5.75%. What is the sales tax?
Answer:
23
Step-by-step explanation:
just trust me
4.75 lbs what is the amount in grams
What fraction is greater than 3/8? 1/4 7/16 1/8 3/16
Answer:
7/16
Step-by-step explanation:
3/8 = 6/16
7/16 is greater than 6/16
Hope This Helps :)
Answer:
7/16
Step-by-step explanation:
Simplified 7/16 is 3.5/8, which is more than 3/8. The rest of the answers are less than 3/8.
Solve the following inequality
-x<-7
Answer:
The answer could be any number above -7.
So, it could be...
(-8)
(-9)
(-10)
etc.
Step-by-step explanation:
The bigger the negative number, the lower the value.
A trianglar carpet is laid in a square room of side 12m, if the base of the carpet is 10m and the height is 8m, calculate the area of the floor uncoverd
◈ Area of square room :
[tex]:\implies\sf\:A_s=(side)^2[/tex]
[tex]:\implies\sf\:A_s=(12)^2[/tex]
[tex]:\implies\bf\:A_s=144\:m^2[/tex]
◈ Area of triangular carpet :
[tex]:\implies\sf\:A_t=\dfrac{1}{2}\times base\times perpendicular[/tex]
[tex]:\implies\sf\:A_t=\dfrac{1}{2}\times 10\times 8[/tex]
[tex]\:\implies\sf\:A_t=\dfrac{1}{2}\times 80[/tex]
[tex]:\implies\bf\:A_t=40\:m^2[/tex]
◈ Uncovered area of room :
[tex]:\implies\sf\:\Delta A=A_s-A_t[/tex]
[tex]:\implies\sf\:\Delta A=144-40[/tex]
[tex]:\implies\:\boxed{\bf{\blue{\Delta A=104\:m^2}}}[/tex]
Suppose pieces of chocolate pie served at a restaurant average 350 calories with a standard deviation of 20 calories. Calories have a Normal distribution due to inexact cutting of the pies. The shaded area represents the proportion of pieces of pie that have more than:__________
Answer:
Step-by-step explanation:
Suppose pieces of chocolate pie served at a restaurant average 350 calories with a standard deviation of 20 calories. Calories have a Normal distribution due to inexact cutting of the pies. Which graph represents the proportion of pieces of pie that have more than 375 calories.
Answer: The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and for a negative z score means the raw score is below the mean. The z score is given as:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Given that: μ = 350 calories, σ = 20 calories, x > 375
[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{375-350}{20}=1.25[/tex]
From the graph, The shaded area represents the proportion of pieces of pie that have more than 375 calories
From the normal distribution table, P(x > 375) = P(z > 1.25) = 1 - P(z < 1.25)
= 1 - 0.8944 = 0.1056 = 10.56%
Blueberries cost 4.99 a pound. Diego paid 14.95 for his blueberries. How many pounds did he buy?
Answer:
The answer is 3.
Step-by-step explanation:
The equation would be: x = 14.95 divided by 4.99, rounded to the nearest one:
14.95 divided by 4.99 = 2.99599...
Normally, I would not round the number to the nearest digit in problems like these, but 2.99599 is quite close to 3, so this might be an exception.
Anyways, that's how I got my answer.
Hope this helped.
a town has a population of 450000 people.if 60% of the population are under 25 years of age how many people in the town are 25 years old and over?
Answer:
180000
Step-by-step explanation:
100%-60%=40% - 40% of the population are above 25 years old40/100=0.4450000*0.4=180000 - There are 180000 people in the town ages 25 and up.If you continue the pattern below so that you write all of the numbers in the pattern less than 500, how many even numbers will you write? 4, 9, 14, 19, 24, 29...
Answer:
I think it would be 50 even numbers
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
y = 4x - 2
y = x + 13
A. (1, 13)
B. (0, -2)
C. (5, 18)
D. (4,-2)
Answer:
c
Step-by-step explanation:
just plug each coordinates
5=x
18=y
if its tru for both then thats the answer
Answer:
5,8
Step-by-step explanation:
y=4x-2-----(i)
y=x+13----(ii)
Equating equation i and ii we get,
[tex]4x - 2 = x + 13[/tex]
[tex]4x - x = 13 + 2[/tex]
[tex]3x = 15[/tex]
[tex]x = 3[/tex]
[tex]substitutin \: the \: value \: of \: x \: in \: equation \: (i)[/tex]
[tex]y = 4x - 2[/tex]
[tex]y = 4 \times 5 - 2[/tex]
[tex]y = 20 - 2[/tex]
[tex]y = 18[/tex]
Marks this as a brainest answer ok.
show that n(n+1)(n+2) is divisible by 6
Solution
(
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
What is 10x-2(x+6)=52 ?
Answer:x=8
Step-by-step explanation:Reorder the terms:
10x + -2(6 + x) = 52
10x + (6 * -2 + x * -2) = 52
10x + (-12 + -2x) = 52
Reorder the terms:
-12 + 10x + -2x = 52
Combine like terms: 10x + -2x = 8x
-12 + 8x = 52
Solving
-12 + 8x = 52
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 8x = 52 + 12
Combine like terms: -12 + 12 = 0
0 + 8x = 52 + 12
8x = 52 + 12
Combine like terms: 52 + 12 = 64
8x = 64
Divide each side by '8'.
x = 8
Simplifying
x = 8
Answer:
x=5
Step-by-step explanation:
An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the tanker in 11 hours. If the main pump is started at 7 PM, when should the auxiliary pump be started so that the tanker is emptied by 10 PM?
Answer:
The pump should be added by 8PM
Step-by-step explanation:
An oil tanker can be emptied by the main pump in 4 hours.
An auxiliary pump can empty the tanker in 11 hours.
the main pump is started at 7 PM,and we have 10 PM - 7PM = 3 hours to empty the tank.
So we have to look for the combined rate of the both pumps .
Let's say the volume= x
Rate of first pump= x/4
Rate of second pump= x/11
The rate will be added together
Combined rate= x/11 + x/4
Combined rate= 15x/44
But they have three hours to complete their pump
15x/44 = 3
X=1.0227
The pump should be added by 8PM