Answer:
39 pounds of type A coffee were used.
Step-by-step explanation:
Given: Cost of type A coffee is $4.15 per pound and cost of type B coffee is $5.25 per pound. Also, blend used four times as many pounds of type B coffee as type A.
To find: How many pounds of type A coffee were used.
Let [tex]x[/tex] be the number of pounds of type A coffee and [tex]y[/tex] be the number of pounds of type B coffee.
Then, according to question,
[tex]4.15x+5.25y=980.85[/tex] and [tex]y=4x[/tex]
Substituting [tex]y=4x[/tex] in [tex]4.15x+5.25y=980.85[/tex], we get
[tex]4.15x+5.25(4x)=980.85[/tex]
⇒[tex]4.15x+21x=980.85[/tex]
⇒[tex]25.15x=980.85[/tex]
⇒[tex]x=\frac{980.85}{25.15}[/tex]
⇒[tex]x=39[/tex]
Therefore, 39 pounds of type A coffee were used.
find the surface area of the triangular prism help plzzz
Answer:
790 m^2
Step-by-step explanation:
well in the figure we have to areas
the rectangle of the side (2)the triangle (2)the rectangle of the base (1)the rectangle of the side
well the area of the rectangle is base times height
we have a base of 11 and a height of 17
[tex]A_{rs}=11*17\\\\A_{rs}=187[/tex]
the triangle
well the area of a triangle is base times height over 2
we have a base of 16 and a height of 15
[tex]A_t = \frac{16\cdot 15}{2}\\\\A_t= 8\cdot15\\\\A_t=120[/tex]
the rectangle of the base
we have a base of 16 and a height of 11
so
[tex]A_{rb} = 16\cdot 11\\\\A_{rb} = 176[/tex]
so the total area is
[tex]A_T = 2(A_{rs})+2(A_{t})+1(A_{rb})\\\\A_T= 2(187)+2(120)+1(176)\\\\A_T=374+240+176\\\\A_T = 790[/tex]
so that's our answer the surface area is 790 m^2
HURRY PLEASE....... Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios. Which table shows the same data?
Answer:b
Step-by-step explanation:
two beads for every 3
Which one is a better deal? Deal 1: $7.65 for 9 iTunes songs Deal 2: $6.93 for 7 iTunes songs
Answer:
yeah I would say deal #1 is better
i don't really understand, please help!!
Step-by-step explanation:
the proof is given above
Step-by-step explanation:
In Triangle ICU,
Angle 2 = 180° - Angle 1 (Angles on a straight line)
CR = CU - RU
In Triangle ISR,
Angle 3 = 180° - Angle 4(Angles on a straight line)
SU = RS - RU
Angle 1 = Angle 4
Therefore, Angle 2 is equal to Angle 3
CU = RS
Therefore, CR is equal to SU
Triangle ICR and Triangle ISU
IC = IS
Angle 2 = Angle 3
CR = SU
Therefore, Triangle ICR and Triangle ISU are congruent (SAS congruency).
As the two triangles are congruent, Angle CIR = Angle SIU
I will give brainiest to whoever answers correctly !!
Find the slope and y-intercept.
Answer:
slope is four and the y-intercept is 1/5
60% of what number is 348?
Answer:
208
Step-by-step explanation:
this is what I did. 348×.6
60% of 580 is 348 is the answer you're looking for
If you divide .6 by 348 you get 580.
To check your answer, you can do .4 (40%) multiplied by 580 to get 232
232+348=250 which is 100%
Compare 0.55 ____ 0.525 using , or =
Answer:
0.55 > 0.525
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.55=0.550
0.550>0.525
so 0.55>0.525
please brainlist who ever answers
Answer:
190 square inches
Step-by-step explanation:
Answer:
190
Step-by-step explanation:
5. Following data indicates the number of vehicles arrived during past
100 days in a certain tolling station.
Vehicles
No. of days
0 - 10
3
10 - 20
14
20 - 30
53
30-40
20
40 - 50
10
Calculate average number of vehicles in a day,
Answer:
what are you supposed to do here?
Step-by-step explanation:
The distance in feet that Karina swims in a race is represented by 5d -5, where d is the distance for eac
What is an expression equivalent to 5d -5?
Choose the correct answer below.
A. 5d - 5 = 5(-5)
B. 5d -5 = -5 + 5d
C. 5d - 5 = 5-5d
D. 5d - 5 = -5(d+5)
Answer:
C. 5d - 5 = 5-5d
Step-by-step explanation:
29) Which equation describes this graph?
graph that contains the points (-2,0) and (8,-10)
A. y=−2x−2
B. y=2+x
C. y=−x
D. y=−2−x
Sally goes to the store and buys a camera for $65. The store is
running a discount of 10%. What is the price of the camera after the
discount?
Answer:
58.50
Step-by-step explanation:
A ski are offers two vacation package plans. Plan A gives one person four nights lodging and three dinners for $467. Plan B gives one person five nights lodging and four dinners for $593. Assuming that the lodging and dinner costs per night are the same for both plans, how much does one dinner cost?
Answer:
$37
Step-by-step explanation:
Plan A: 4n + 3d = 467
Plan B: 5n + 4d = 593
4n + 3d = 467
4n = 467 - 3d
4n/4 = 467/4 - 3d/4
n = 116.75 - 3/4d
5n + 4d = 593
5(116.75 - 3/4d) + 4d = 593
583.75 - 3.75d + 4d = 593
0.25d = 593 - 583.75
0.25d = 9.25
0.25d/0.25 = 9.25/0.25
d = 37
the target temperature for a laboratory is 71° f. it can vary by up to 3°. if t is the temperature in the laboratory, which of the following inequalities represents this situation?
Answer:
|t-71| < 3
Step-by-step explanation:
The inequalities represents this situation is | t - 71 | < 3 .
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size
According to the question
The target temperature for a laboratory = 71° f.
it can vary by up to 3°. (highest limit)
the temperature in the laboratory represented by t
Now,
inequalities represents this situation is
| t - 71 | < 3
Hence, the inequalities represents this situation is | t - 71 | < 3
To know more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
I. A rhombus is a special type of square. II. A rectangle is a special type of rhombus. III. A trapezoid is a special type of parallelogram. Which of the above statements are true? i only iii only iii only None of the above statements are true.
Answer: I. only
--------------------------------------------------------------------------------------------------------------
Explanation :
II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal. The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.
I. True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.
III. False. Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.
A 300 room hotel can rent every one of its rooms at $80 per room. For every $1 increase in rent, 3 fewer rooms are rented.
How much should the hotel charge for each room to maximize its daily revenue? What is the maximum daily revenue?
Answer:
The hotel charge for each room to maximize its daily revenue and the maximum daily revenue is explained below in details.
Step-by-step explanation:
So for every $1 hike in price, the number of rooms goes underneath by 1.
So the earnings can be displayed by R(x) = (300-x)(80+x)
From that, you require to subtract 22(300-x) since it takes $22 per occupied room.
AND there is a framed cost of $1000 per day.
So your profit function is P(x) = (300-x)(80+x) - 22(300-x) - 1000
Simplified, this is P(x) = -x2 +242x + 16400.
P'(x) = -2x + 242 Set it = to 0
x = 121 which displayed the number of unoccupied rooms.
P(121) = -14641 + 29282 + 16400 = $31041
You can verify by computing P(120) and P(122) which both even $31040.
Hope this helps.
find the scale factor from DEF to ABC
Answer:
³/2 (1.5)
Step-by-step explanation:
∆DEF was enlarged to get ∆ABC. The scale factor would be:
The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.
Thus,
BC:EF = 12:8
= 12/8
= 3/2 = 1.5
Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5
Help due in 30 min!!!!!!!!!!!!!!!
Answer:
b. - 1/4
Step-by-step explanation:
Start at the point highest on the line(3,4). Subtract the x value of the second point, from the x value of the first point.(3-7) Then do the same with the y values.(4-3) This gives you x=-4and y= 1. Slope= y/x, so you get -1/4
Samples G and H were selected from the same population of quantitative data and the mean of each sample was determined. The mean of sample G is equal to the mean of the population. Which of the following statements must be true?
I. The mean of sample H must also be equal to the population mean.
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.
a. I only
b. II only
c. III only
d. I and II
e. II and III
Answer: e. II and III
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.
Step-by-step explanation:
The point estimate simply means deriving a single value from a sample which could be used as a good or close estimate of the population from which the sample was drawn. A point estimator for the mean in the scenario above means a best guess of the mean value of the population from the sample mean.
Hence, since both sample G and H are drawn from the same population, both TG and TH which are mean of sample G and H can be used as a point estimator for the mean of the population.
However, it is does not necessarily mean that either the sample mean TG or TH must be equal to the population mean
Simplify this expression.
6x + 3 – 4x + 2y + 7
Answer:
2x + 10 + 2y
Step-by-step explanation:
6x + 3 – 4x + 2y + 7
(6x - 4x) = 2x
2x + 3 +2y + 7
(3 + 7) = 10
Answer: 2x + 10 + 2y
If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?
Answer: It would be 43 mittens
Step-by-step explanation:
The density of silver is 10.49g/cm3. If a sample of pure silver has a volume of 12.993cm3, what is the mass?
Answer:
d X v = m
12.993 X 10.49 = 136.29657
Four co-workers contributed $2.58, $10.20, $19.89, and $12.89 respectively to purchase a retirement gift for their boss. What is the maximum amount they can spend on a gift?
Answer:
the answer is $45.56!
Step-by-step explanation:
you just have to add all of there amounts to find how much money they have
2 divided by negative 1/5
Answer: 10
you have to find a common denominator between two and five which is 10. therefore making the number 2 into the fraction 20/10 and finding the common denominator of 1/5 makes it now 2/10. now divide 20 by 2 which gets you 10. and dividing 10 by 10 gets you. therefore making the new fraction 10/1 which is equal to 10. :)
Please help me if u know
Answers
x= -3/2
x= 3i
x= -3i
Step-by-step explanation:
f (x) = 2x3 + 3x2 + 18x + 27
Set 2x^3 + 3x^2 + 18x + 27 equal to 0.
2x^3 + 3x^2 + 18x + 27 = 0
Solve for x.
Factor the left side of the equation.
Factor out the greatest common factor from each group.
x^2 (2x + 3) + 9 (2x + 3) = 0
Factor the polynomial by factoring out the greatest common factor, 2x + 3. (2x + 3) (x^2 + 9) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x + 3 = 0
x^2 + 9 = 0
Set 2x + 3 equal to 0 and solve for x.
Set 2x + 3 equal to 0. 2x + 3 = 0
Solve 2x + 3 = 0 for x. Tap for more steps...
3 x = − 2
Set x2 + 9 equal to 0 and solve for x.
Set x2 + 9 equal to 0. x2 + 9 = 0
Solve x2 + 9 = 0 for x.
x = 3i, −3i
The final solution is all the values that make (2x + 3) (x2 + 9) = 0 true.
x = − 3/2 , 3i, −3i
Dawn has two bank accounts she has been using to save money for a car. The difference between account A and account B is $100. If she uses StartFraction 3 Over 8 EndFraction of account A and StartFraction 7 Over 8 EndFraction of account B, Dawn will have a down payment of $2000. Choose the statements that are true when solving for the amount Dawn has in each account. Check all that apply.
One of the equations that represents this scenario is A – B = 100.
One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
To eliminate the A variable, multiply the first equation by 3 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by –8.
Answer:
1) One of the equations that represents this scenario is A – B = 100.
2)One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
4) To eliminate the B variable, multiply the first equation by 7 and the second by 8.
Step-by-step explanation:
Answer:
a b and d
Step-by-step explanation:
HELP MEEEEE this is so harddd. the picture is above.
Answer:
A)
Step-by-step explanation:
V=1/3([tex]\pi[/tex]r²)h
3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side
3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)
3V/(πr²)=h is the final answer so that matches A
What is 8^6 ÷8 simplified
8^6 is actually 8×8×8×8×8×8.
So if you divide this by 8, you get 8^5 or 8×8×8×8×8
Well...
8×8×8×8×8=32768
The school show choir is holding a car wash to raise $350 for
new costumes. After spending $30 on supplies, the students will
wash cars for donations of $6 each.
This situation can be modelled by the inequality 6C + 30 > 350,
which has the solution c> 53.33. What is the best way to
interpret this solution?
A. Show choir needs $53.33 to meet their goal.
B. Show choir should have spent another $53.33 on supplies.
C. At least 54 show choir students must participate in the car
wash.
D. Show choir needs to wash at least 54 cars.
Answer:
D.
Step-by-step explanation:
It’s the only option that makes sense. Option A. Is invalid because they need to make $350. Option B. Is just purely invalid and has no context to support the theory. C. Is possible, but we can have students wash more than one car, so we don’t need fifty four kids.
D. Is your answer.
Hope this helped!!
LunarRose3