Answer:
C. $4.50
Step-by-step explanation:
hello, there.
1) 2p + 3c = 17.50
2) 5p + 2c = 19.00
:
Solve equation 1 for p
:
p = (17.50 - 3c) / 2
:
Substitute for p in second equation
:
(5(17.50 - 3c) / 2) + 2c = 19.00
:
Multiply both sides of = by 2
:
(5(17.50 - 3c)) + 4c = 38.00
:
87.50 - 15c + 4c = 38.00
:
-11c = -49.50
:
c = 4.50
:
---------
Cashews are $4.50 per pound
--------------
:have a great day.
Answer:
C
Step-by-step explanation:
Let p represent the cost for one pound of peanuts and let c represent the cost for one pound of cashews.
Two pounds of peanuts and three pounds of cashews cost $17.50. So:
[tex]2p+3c=17.5[/tex]
Five pounds of peanuts and two pounds of cashews cost $19.00. So:
[tex]5p+2c=19[/tex]
This yields a system of equations.
We can solve this using elimination. We can multiply the first equation by -5, and the second by 2. Therefore:
[tex]-5(2p+3c)=-5(17.5)[/tex]
Multiply:
[tex]-10p-15c=-87.5[/tex]
And:
[tex]2(5p+2c)=2(19)[/tex]
Multiply:
[tex]10p+4c=38[/tex]
Now, we can add the two equations together:
[tex](-10p-15c)+(10p+4c)=(-87.5+38)[/tex]
Combine like terms:
[tex]-11c=-49.5[/tex]
Therefore:
[tex]c=4.5[/tex]
So, a pound of cashews costs $4.50.
Our answer is C.
Notes:
To solve for the cost for peanuts, we can use the first (or second equation) again:
[tex]2p+3c=17.5[/tex]
Substitute:
[tex]2p+3(4.5)=17.5[/tex]
Solve for p:
[tex]2p+13.5=17.5\Rightarrow 2p=4\Rightarrow p=2[/tex]
So, a pound of peanutes cost $2.00.
Two trains on opposite tracks leave the same station at the same time. One train travels at an average speed of 80 kilometres per hour and the other travels at an average speed of 70 kilometres per hour. How long after they leave the station will they be 50 km apart?
Answer:
1/3 hr or 20 min.
Step-by-step explanation:
Call the trains A and B
Remember d = rt
Distance train A travels is 80t
Distance train B travels is 70t
Now, 80t + 70t = 50
150t = 50
t = 50/150 = 1/3 hr or 20 min.
This is actually geometry but anyone PLEASE PLEASE PLEASE HELP ME
Answer:
Step-by-step explanation:
[tex]sin\theta =\frac{opposite\ side}{hypotenuse}\\ \\ sin37^o=\frac{6}{10}[/tex]
B.
How do I do this?
Answer:
61.928 is angle C
Step-by-step explanation:
hope this helps
Answer:
Use the law of cosines.
Example:
c^2 = a^2 + b^2 - 2ab cosc
what is the sum of the interior angle measures of a polygon that has 20 sides
Answer:
3240°
Step-by-step explanation:
Formula is ( 2n-4)90° where n is the no of sides
(2×20-4)90°
(40-4)90°
36×90
3240°
The school orchestra is creating a CD of their last concert. The total cost to make the CD is $300 plus $2.50 per CD. They are selling the CDs for $10 each. How many CDs will they need to sell to make a profit?
Answer:
They need to sell more than 40 CDs to make a profit.
Explanation:
They will make a profit when the sales are higher than the cost and with the information provided, you can write the following inequality:
10x>300+2.5x, where x is the number of CDs sold
Now, you can solve for x:
10x-2.5x>300
7.5x>300
x>300/7.5
x>40
According to this, the answer is that they need to sell more than 40 CDs to make a profit.
Identify the points which of the following coordinate pairs make the equation x - 9y = 12 true?
Show your reasoning.
1. ( 12, 0 )
2. ( 0, 12 )
3. ( 3, -1 )
4. ( 0, - 4/3 )
Answer:
Step-by-step explanation:
Because in equation x-9y=12
If we put x=12 and y=0 then it satisfy equation. (12)-9(0)=12
So, (12,0) make equation
(3,-1) also make equation
(3)-9(-1)=12
(0,-4/3) also make equation
Because
0-9(-4/3)=12
Only (0,12) is not making
Beacuse
(0)-9(12) is not equal to 12
Sheila is biking at a constant speed. She travels 54 meters in 9 seconds. Part A How many meters per second does Sheila travel?
Answer:
Step-by-step explanation:
6 meters/ seconds
Step 1: Find the unit rate
total distance/total time
54/9
6 meters / seconds
Awnser: 6 meters/ seconds
Answer:
Answer:
She Travles 6 MPH
Step-by-step explanation:
6x9=54
A tipi is set up with tip poles that are 36 feet long. The poles extend 3 feet above the top of the tipi. The diameter of the tipi is 14 feet. How tall is the tipi, rounded to the nearest tenth?
Answer:
i dont know
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT!!!!!!
Answer:
400
Step-by-step explanation:
please mark me brainliest if i was right
The artist will use small congruent square tiles to cover each region without any gaps or overlaps. Based on the information, which statement is true?
Answer:
The number of tiles needed to cover Region Z is the same as the number of tiles needed to cover both Region X and Region Y.
2 Last year the girls' basketball team had 8 fifth-grade students and 7 sixth-grade students. What was the ratio of sixth- grade students to fifth-grade students on the team? A. 8:15 B. 8:7 C. 7:8 D. 15:8 HELPP
Answer:
7:8
Step-by-step explanation:
There are 7 sixth graders and 8 fifth graders. You don't put the whole of all of them in the ratio.
Please Solve
The equation below
Answer:
4h+3
Step-by-step explanation:
3h+h+3
4h+3
The expression 2 - 2 + 5x is equivalent to the expression 5x
True or False
Answer:
True!
Step-by-step explanation:
Put all the whole numbers together so 2+ (-2) cancels out
2-2+5x
positive 5x would be the only thing left so there you go!!!
The expression 10a+6c gives the cost (in dollars) for a adults and c children to eat at a buffet restaurant.
a. The cost for 1 adult is $ ?
. The cost for 1 child is $ ?
b. The total cost for 1 adult and 3 children is $ ?
Question 2
c. Is $30 enough for a family of 2 adults and 2 children to eat at the buffet?..
Answer:
Answer: The total cost is assuming the cost for 1 adult is and the cost for 1 child is
Step-by-step explanation:
PLS HELP!! RIGHT ANSWER GETS BRAINLIEST!! pls only answer if u know the answer 100% this is a test!
What is the solution to the system of equations?
(4, 0)
(−2, 3)
(0, 6)
(−4, 0)
Answer:
The answer is (-2,3)
Step-by-step explanation:
If you look at the coordinate plane, you'll notice that the x -values are negative and the y-values are positive. So, if you look at where the two lines meet, they meet at the point (-2,3).
Hope I helped!!!
In a certain Algebra 2 class of 24 students, 6 of them play basketball and 7 of them play baseball. There are 13 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answer:
13/24 or 54%
Step-by-step explanation:
There are 24 students in total. Total will also be the denominator. Add 6 + 7 to find the amount that play the sports. Insert the number (13) as the numerator. Divide 13 by 24 if you need to find the percent!
Answer: 11/24
Step-by-step explanation:
2+5+4 =11
Expect the 13 person/students didn't play
Total people 24
24-13=11
11/24
The slope of a given line is shown below. Find the slope of a line parallel to the given line and the slope of a line perpendicular to the given line.
M=5
The slope of a line parallel to the given line is m=___.
Answer:
The slope of a line parallel to the given line = 5
The slope of a line perpendicular to the given line = - 1/5
Step-by-step explanation:
write in its simplest form : 30 : 1 ¼ hour
Answer:
6
Step-by-step explanation:
What is the difference between 31 1/4 and 35
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST
Answer:
3.75
Step-by-step explanation:
35 - 31 1/4 = 3.75
Which set of inequalities best describes the region R?
Answer:
C--- x+y<-1y>2
Step-by-step explanation:
hope this helps!
have a good day :)
What is 1% of 4,935 ?
O A. 0.04935
O B. 0.4935
O C. 4.935
D. 49.35
E. 493.5
Answer:
D. 49.35
Step-by-step explanation:
[tex]\frac{4935}{100 X 100}[/tex] X 100 = 49.35
Greg bought 28 pounds of sugar for $11.
How many dollars did he pay per pound of sugar?
Answer:
$2.54
Step-by-step explanation:
You divide 28 by 11 and you get 2.54545454545, which you can just sum down to 2.54 (I think thats right)
One side of a tabletop is 12x – 5 units long. Another side of the tabletop is 7x + 4 units long. If the tabletop is a square, what is the value of x?
Answer:
no c
Step-by-step explanation:
A dog shelter has 22 poodles. The number of poodles is doubling every year. How long before the shelter has 22,528 poodles?
Please help
Answer:
I think 1024 days? Which is around 2 years...
what is value of x in the multi-step equation
22-9x=9x+10
Answer:
x= 2/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
22−9x=9x+10
22+−9x=9x+10
−9x+22=9x+10
Step 2: Subtract 9x from both sides.
−9x+22−9x=9x+10−9x
−18x+22=10
Step 3: Subtract 22 from both sides.
−18x+22−22=10−22
−18x=−12
Step 4: Divide both sides by -18.
x=2/3
Please help I’ll give brainlieast answer all questions
Answer:
1.The formula to convert Celsius to Fahrenheit is:
F = 1.8 C + 32
Multiply the Celsius temperature by 1.8.
Add 32 to this number.
Report the answer in degrees Fahrenheit.
Example: Convert 20°C to Fahrenheit.
F = 1.8 C + 32
F = 1.8 (20) + 32
1.8 x 20 = 36 so F = 36 + 32
36 + 32 = 68 so F = 68°F
20°C = 68°F
2.9.92
Step-by-step explanation:
for brainiest:):):):):)
Answer:
number one is 22 number two is 16 number three is 32
Step-by-step explanation:
A rectangular doubles tennis court is (8x - 2) ft long and (4x - 4) ft wide. Which expression represents the perimeter of the tennis court?
A (12x - 6) ft
B. (12x + 6) ft
C (24x - 12) ft
D. (24x + 12) ft
If you can please show the steps
Answer:
C
Step-by-step explanation:
Remark
The easiest way to do this is to add the two givens together and then multiply by two. Why 2? Because the formula is P = 2(L + W)
Givens
L = 8x - 2
W = 4x - 4
Solution
P = 2*(8x - 2 + 4x - 4)
P = 2*(12x - 6)
P = 24x - 12
C
In ΔHIJ, h = 3.7 cm, i = 5.4 cm and j=3.8 cm. Find the measure of ∠H to the nearest degree.
Answer:
43
Step-by-step explanation:
deltamath
Answer:43
Step-by-step explanation:
Please help quickly I will mark brainliest!! At least the equation of the graph please
Answer:
a. The domain of the function is -3 < x ≤ 5
b. The range of the function is -3 ≤ y < 3
c. The y-intercept is the point (0, 0)
d. The values of 'x' at which f(x) ≥ 0 are;
x = -3, x = 1, x = 5
e. The intervals over which f(x) is decreasing are;
-3 < x ≤ - 1, and 1 ≤ x ≤ 3,
f. The local minimums are;
(-1, -1), and (3, -3)
Step-by-step explanation:
a. The domain of a function is the set of the possible independent variable values
Therefore, the domain of the function is -3 < x ≤ 5
b. The range of a function is the set of the possible values of the dependent variable
Therefore, the range of the function is -3 ≤ y < 3
c. The y-intercept is the point (0, 0)
d. The values of 'x' for which f(x) ≥ 0 are;
x = -3, x = 1, x = 5
The range of values of 'x' where f(x) ≥ 0 are;
-3 < x ≤ - 1.5, 0 ≤ x ≤ 1.5, 4.5 ≤ x ≤ 5
e. f(x) is decreasing over the following intervals;
-3 < x ≤ - 1, and 1 ≤ x ≤ 3,
f. The local minimums are the points that are lowest compared to other nearby points
The local minimums are;
(-1, -1), and (3, -3).