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.
Sansa shifted the parabola y = x^2 by 3 units to the right. Which of the following equations corresponds to the resulting graph?
А) y = x2 + 3
B) y = x2 + 9
C) y = x2 + 6x + 9
D)y = x2 - 6x + 9
Answer:
y = (x - 3)^2
Step-by-step explanation:
The original function is y = x^2. Its vertex is at (0, 0). Translating the graph h units to the right results in g(x) = (x - h)^2; h units to the left results in h(x) = (x + h)^2.
In this particular case we have y = x^2 and are translating the graph 3 units to the right. Thus, the original function y = x^2 becomes y = (x - 3)^2.
The volume of the cylinder is 84 pi inches squared What can be concluded about the volume of the cone? Check all that apply.
The volume of the cone is One-third the volume of the cylinder.
The volume of the cylinder is 2 times the volume of the cone.
The volume of the cone is less than the volume of the cylinder.
The expression 84 pi over 3 finds the volume of the cone.
The expression 84 pi over 2 finds the volume of the cone.
The correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
What is the volume of cylinder?[tex]V=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
What is the volume of the cone?[tex]V=\pi\times r^2\times \frac{h}{3}[/tex]where 'r' is the radius of the base of the cone and 'h' is height of the cone
For given example,
The volume of the cylinder is 84 pi inches cubed.
Let [tex]V_1[/tex] represents the volume of the cylinder.
[tex]V_1=84~~cu.in.[/tex]
Using the formula of the volume of the cylinder,
[tex]V_1=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
Let [tex]V_2[/tex] be the volume of the cone.
Assume that the base radius 'r' and height 'h' of the cone and the cylinder are equal.
Using the formula of the volume of the cone,
[tex]\Rightarrow V_2=\pi\times r^2\times \frac{h}{3}\\\\\Rightarrow V_2=\frac{1}{3}\times( \pi\times r^2\times h) \\\\\Rightarrow V_2=\frac{1}{3}\times V_1[/tex]
This means, the volume of the cone is One-third the volume of the cylinder.
[tex]\Rightarrow V2=\frac{1}{3}\times 84[/tex]
This means, the expression 84 pi over 3 finds the volume of the cone.
[tex]\Rightarrow V_2=28~~cu.in.\pi \\\\\Rightarrow V_2 < V_1[/tex]
This means, the volume of the cone is less than the volume of the cylinder.
Therefore, the correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
Learn more about the volume of the cylinder and the volume of the cone here:
https://brainly.com/question/16007458
#SPJ2
A pair of sneakers that normally cost $120 have their price reduced by 25%.
What is the sale price of the sneakers?
The sales price of the sneakers is $
Answer:
$90.00
Step-by-step explanation:
120.00 x 25% = 30.00
120.00 - 30.00 = $90.00
The area of a circle is 3.14 square yards. What is the circle's diameter?
Answer:
d≈2yd
Step-by-step explanation:
Answer:
d≈2yd
Step-by-step explanation:
in parallelogram ABCD, the length of BC=3x-1, CD=2x, and AD=x+5. Find the perimeter of ABCD
Answer:
Step-by-step explanation:
BC=AD
3x-1=x+5
3x-x=5+1
2x=6
x=3
BC=3×3-1=8
CD=2x=2×3=6
perimeter=2(8+6)=2(14)=28
8 1/3 times 4 1/5 = ?
Answer:
35
Step-by-step explanation:
I believe the answer is 35.
Step-by-step explanation:If I am incorrect please correct me but this is what I got. Also, you never told me if it's in simplified form or in any form it should be in. Hope this somewhat helped and have a good one!
✍(◔◡◔)Solve the equation 18+a= -50
Answer:
-68
Step-by-step explanation:
Subtract 18 from each side of the equation.
a + 18 = -50
-18 -18
Turn -50 - 18 into -50 + (-18) because you need to add the opposite.
a = -50 + (-18)
a = 68
true or false every trapezoid is a quadrilateral
Answer:
True
Step-by-step explanation:
It has four sides, quadrilaterals are four sided
Answer:
its ture bc it is trapezoid is a quadrilaterals
here is a list of ingredients to make biscuits
200g of butter
180g of caster sugar
400g of plain flour
20g of chocolate chips
Andrew only has 300g of plain flour.
How much of the other ingredients should he use?
Answer: 150 grams of butter
135 grams of caster sugar
15 grams chocolate chips
300 grams of flour
Step-by-step explanation:
if 300 grams equals 3/4 of 400 grams than all we have to do is get 3/4 of all the other ingredients.
Write an equation and slope intercept form of the line that passes through the given points
Answer:
y = 2x+5
Step-by-step explanation:
Theoretical probability
P(rolling a 2)
P(rolling a 5)
Answer:
yes indeed..... (wdm? u never finished the question)
Step-by-step explanation:
Answer:
The theocratical probability of rolling a two is 2/6 or 1/3. The theocratical probability of rolling a five is 5/6.
Step-by-step explanation:
please help me solve all of these if right ill give you brainly
6x + 10 = 1x
2a 5 = 3a
7a 5 = 2a
4a + 7 = 10 + a
8x + 3 = 2x
6x 3 = 18 + x
Answer:
1. =−2
2.
3.
4. a=1
5. x=-1/2
6. x=4.2
Step-by-step explanation:
I put the picture attached
Answer:
120 square inches
Step-by-step explanation:
Write an equation in slope-intercept form for a line with a slope of -2 that goes through the point (-5,6). show steps?
Answer:
y=-2x-4
Step-by-step explanation:
y-y1=m(x-x1)
y-6=-2(x-(-5))
y-6=-2(x+5)
y=-2x-10+6
y=-2x-4
The numbers 0.1, 12, 15 and 124 can all be classified as counting numbers?
Answer:
No
Step-by-step explanation:
Counting numbers are considered to be whole numbers greater than zero. Whole numbers are positive numbers without decimals or fractions, so 12, 15, and 124 can be classified as counting numbers, but not 0.1.
hope this helps!!!
PLEASE HELP ME- In the diagram below,
Answer:
Step-by-step explanation:
I need the answer in under 34 min
Answer:
I. 1 cup is $4.50
2 cups is $9.00
3 cups is $13.50
ll. 6 cups is $27.00
Step-by-step explanation:
Now since the number of cups is proportional to the total cost of frozen yoghurt,and the cost of 4 yoghurts cups where given .ie. $18.00
then 1 cup is $18/4 which is $4.50 per one cup, thus the other cost of cups are given.
therefore 6 cups is 6•18/4 which is $27.00.
hence 5 cups is 5•18/4 which is $22.50.
Russel randomly surveys seventh graders in his school and finds that 6 of 30 attend summer camp. if there are 200 seventh graders in his school, about how many are expected to attend summer camp.
40 seventh-graders are expected to attend summer camp.
Because
6/30=x/200
6/30= 6 divided by 30= 0.2
0.2x200=40
Please I need help I’m sorry for bothering
Answer:
A
Step-by-step explanation:
A group of friends were working on a student film that had a budget of $1200. They spent all their budget on costumes and equipment. They used 33% of their budget on equipment. How much money did they spend on costumes?
Answer:
$804
Step-by-step explanation:
33%=0.33----Covert the percentage as a decimal.
0.33*1200=396----Multiply the decimal by the price of budget. This is the cost of equipment.
$1200-$396=$804----Subtract the cost of equipment ($396) by the cost of budget($1200). You get $804!
Hope this helped.
Answer:
804
Step-by-step explanation:
what the other person said
PLS I NEED RELLAY NEED HELP RIGHT NOW
Answer:
40%
Step-by-step explanation:
[tex]\frac{8}{20} = \frac{2}{5}[/tex]
[tex]\frac{2}{5} = 0.40[/tex]
0.40 = 40%
MP Model with Mathematics There was a big snowstorm overnight that dumped 12 inches of snow on Math Town. Luckily, it got a lot warmer, and 0.5 inch is melting each hour. The snow is now less than 5 inches deep. Write an inequality to determine how many hours have passed since the snow started melting.
Answer:
10 hours
Step-by-step explanation:
do 0.5 and add it until you get to 5. the number of times i added it was the answer
hii please help i’ll give brainliest
HELPPP PLEASE
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,160) and (8,320) to find
the number of soda bottles the machine can make
each minute
The machine can make __ soda bottles each minute.
Answer:
Step-by-step explanation:
1
make. Use the points (4,160) and (8,320) to findthe number of soda bottles the machine can makeeach minuteThe machine can make __ soda bottles each minute.which expression makes the equation true for all values
Answer:
Which equation?
Step-by-step explanation:
c. Tyler's brother earns $12 per hour. The store offers him a raise-a 5% increase per hour. After the
raise, how much will Tyler's brother make per hour?
Answer:
The answer is $12.60
2. Which polynomial has a leading coefficient of 5 and a degree of 4?
a. 3x5 - 4x6 + 2
b. 2x + 5x4 - 3x3
c. 6x + 4x5 - 2x2
d. 3x + x2 - 5x4
Find the area. Simplify your answer.
x+1
2x
Answer:
[tex]A = x^{2} + x[/tex]
Step-by-step explanation:
Area of a triangle = bh/2
Your base is 2x and the height is x + 1
So, A = (2x)(x + 1)/2
A = [tex]x^{2} + x[/tex]
What is the area of the shaded triangle
Can you help me (There's a photo) you have to do grater then and = to
Answer:
Top left: > Top right: > Bottom left: < Bottom right: >
Step-by-step explanation:
Answer:
-0.25 > -0.3
9.999 > 9.975
3(5/8) < 30/8
10(2/3) < 61/6