Answer:
1 C JUICE , 1 C MILK , 1.5 SLICE OF BREAD and 1.5 C CEREAL should each be served to obtain the desired amounts.
Step-by-step explanation:
Given that;
protein carbohydrate fat calories
1 cup juice 2 24 0 110
1 cup cereal 8 4 8 120
1 slice bread 2 10 6 100
1 cup milk 10 13 0 85
Now let number of cups of juice, cereal , bread milk be
j, c, b and m respectively
from the table and information from the given
protein
2j + 8c + 2b + 10m = 27 ------------------equ 1
carbohydrate
24j + 4c + 10b + 13m = 58 ---------------equ 2
fat
8c + 6b = 21 ----------------------------------equ 3
calories
110j + 120c + 100b + 85m = 525 ------- equ 4
Now
equ 1 × 12 - equ 11
⇒(24j + 96c + 24b + 120m = 324) - (24j + 4c + 10b + 13m = 58)
= 92j + 14b + 107m = 266 -----------------equ 5
also
equ 1 × 55 - equ 4
( 110j + 440c + 110b + 550m = 1485) - ( 110j + 120c + 100b + 85m = 525 )
320c + 10b + 465m = 960
divide through by 5
64c + 2b + 93m = 192 ----------------------- equ 6
then
equ(5)×93 - equ(6)×107
(8556j + 1302b + 9951m = 24738) - (6848j + 214b + 9951m = 20544)
1708j + 1088b = 4194
divide through by 2
854j + 544b = 2097 --------------------------- equ 7
Now
equ(3)×854 - equ(7)×8
(6832c + 5124b = 17934) - ( 6832c + 4352b = 16776)
772b = 1158
b = 1158 / 772
b = 1.5
now put (b=1.5) in equation 3
8c + 6(1.5) = 21
8c 9 = 21
8c = 21 - 9
8c = 12
c = 12/8
c = 1.5
now put (b=1.5) and (c=1.5) in equation 6
64(1.5) + 2(1.5) + 93m = 192
96 + 3 + 93m = 192
93m = 192 - 99
93m = 93
m = 93/93
m = 1
now put (b=1.5), (c=1.5) and (m=1) in equation 1
2j + 8(1.5) + 2(1.5) + 10(1) = 27
2j + 12 + 3 + 10 = 27
2j + 25 = 27
2j = 27 -25
2j = 2
j = 2/2
j = 1
Therefore 1 C JUICE , 1 C MILK , 1.5 SLICE OF BREAD and 1.5 C CEREAL should each be served to obtain the desired amounts.
Look at the figure. Points C, D, E, and G are _______ points.
A. Coplanar
B. Collinear
C. Back
D. Hidden
Answer:
a. Coplanar
Step-by-step explanation:
To be coplanar means to be on the same plane. Since C, D, E, and G are on the same plane, they can be called coplanar. Back and Hidden are not math terms. Collinear means points lay on the same line
Answer: A. Coplanar
Step-by-step explanation:
Please urgent answer needed with steps
Answer:
43.3
Step-by-step explanation:
Area = Base * Height
Area = 7 * 6.2
Area = 43.3
Graph the function and select the y-intercept
y = 2 • 3^x
a. 1
b. 2
c. 3
d. 4
Answer:
For the graph see attached image.
The y-intercept is 2
Step-by-step explanation:
The requested graph of the function is included in the attached image.
The y-intercept can be seen from the image, but also from finding the y-value when x= 0 (zero):
[tex]y=2\,\,\,3^x\\y=2\,\,\,3^0\\y = 2 \,\,\,(1)\\y = 2[/tex]
Answer:
To graph the function y = 2 • 3^x, we can start by identifying the y-intercept. The y-intercept is the point where the graph intersects the y-axis, which occurs when x = 0.
To find the y-intercept, we substitute x = 0 into the equation y = 2 • 3^x:
y = 2 • 3^0 = 2 • 1 = 2
Therefore, the y-intercept is 2, which corresponds to option (B).
Lee is sewing vests using 16 green buttons and 40 blue buttons. All the vests are identical, and all have both green and blue buttons. What are the possible numbers of vests Lee can make? What is the greatest number of vests Lee can make?
Answer:
you can make 8 vest
Step-by-step explanation:
2 of them are green and 3 are blue
A piece of wire 2/5 m long is to be cut into six pieces of the same length what is the length of each piece
Answer:
each peice will be 1/15 m long.
Step-by-step explanation:
Answer:
you got this
Step-by-step explanation:your smart try to figure it out by yourself
HELP!
Factor x2 - x - 30.
1.( x - 7)( x - 3)
2.( x + 9)( x - 3)
3.( x + 5)( x - 6)
4.( x + 4)( x - 8)
Answer:
3.) (x + 5) (x - 6)
Step-by-step explanation:
Factor the following:
x^2 - x - 30
Hint: | Factor x^2 - x - 30 by finding two numbers whose product is -30 and whose sum is -1.
The factors of -30 that sum to -1 are 5 and -6. So, x^2 - x - 30 = (x + 5) (x - 6):
Answer: (x + 5) (x - 6)
Write an expression in terms of x that represents the distance between (2,10) and (x,10) for x>2.
Answer:
Step-by-step explanation:
[tex]d=\sqrt{(x-2)^2+(10-10)^2} =\sqrt{(x-2)^2}=x-2[/tex]
The required expression is [tex]x^2-4x+4[/tex]
The given coordinates are (2,10) and (x,10)
The formula for finding the distance between two points is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Now, substituting the given points into the above formula we get,
[tex]\sqrt{(x-2)^2+(10-10)^2}\\=(x-2)^2\\=x^2-4x+4[/tex]
Learn More:https://brainly.com/question/11495758
Solve for w
-4+w = -10
Answer:
w = -6
Step-by-step explanation:
Adding 4 to both sides (we do this to get rid of the -4) gives us:
-4 + w + 4 = -10 + 4
w = -6
Answer:
[tex]\Huge \boxed{w=-6}[/tex]
Step-by-step explanation:
[tex]-4+w=-10[/tex]
To solve for [tex]w[/tex], we need to isolate the variable on one side of the equation.
Adding 4 to both sides.
[tex]-4+w+4=-10+4[/tex]
Simplifying the equation.
[tex]w=-6[/tex]
Which represents the equation of the line? *
1 point
у
10
NA 0000
1 (2, 2)
-10-8
-4
12 4 6
8
-20
-2.
10
-4
(0, -4)
-6
10
Answer:
2
Step-by-step explanation:
6. Combine like terms. What is the simplified form of the expression?
6a + 8 + 2a – 6
=
Answer:
8a+2
Step-by-step explanation:
[tex]6a + 8 + 2a – 6\\\\\mathrm{Group\:like\:terms}\\=6a+2a+8-6\\\\\mathrm{Add\:similar\:elements:}\:6a+2a=8a\\=8a+8-6\\\\\mathrm{Add/Subtract\:the\:numbers:}\:8-6=2\\=8a+2[/tex]
Answer:
6a + 8 + 2a – 6
we calculate the unknowns of the same type alone (x with x, a with a, y with y ...) and the digits / numbers alone .
6a+2a=8a
8-6=+2
So 8a+2
Please help me. Please Please Please help me
Answer:
A is yes, and B is no
Step-by-step explanation:
Yes is a key word of A which means it is infact 48 and B is in fact no or 18 because of the discrete maths of espanol you can deprecate george washingtons face. And yes yes, it is gerla no yes maybe
A publisher for a promising new novel figures fixed costs (overhead, advances, promotion, copy editing, typesetting, and so on) at $59 comma 000 , and variable costs (printing, paper, binding, shipping) at $2.30 for each book produced. If the book is sold to distributors for $15 each, how many must be produced and sold for the publisher to break even ? The publisher must produce and sell ? books to break even.
Answer:
He needs to sell approximately 4331 books to break even
Step-by-step explanation:
Let the number of books to be produced be = y
Total cost of production ($)
= 55000+2.3(x)
Price of the book sold($)= 15
Total money from sales= 15(x)
For the publisher to break even, the cost must be equal to the total money from sales.
55000+2.3(x)= 15x
55000= 15x-2.3x
55000= 12.7x
55000/12.7= x
4330.71= x
He needs to sell approximately 4331 books to break even
Refer to the following distribution of commissions:______. Monthly Commissions Class Frequencies $600 up to $800 3 $800 up to 1,000 7 $1,000 up to $1,200 11 $1,200 up to $1,400 22 $1,400 up to $1,600 40 $1,600 up to $1,800 24 $1,800 up to $2,000 9 $2,000 up to $2,200 4 For the preceding distribution, what is the midpoint of the class with the greatest frequency?
Answer:
the midpoint of the class with the greatest frequency 1500
Step-by-step explanation:
The illustration of the dataset given can be well represented in a table format as shown below.
Class Frequency Relative Frequency
$600 - $800 3 [tex]\mathbf{ \dfrac{3}{120} = 0.025}[/tex]
$800 - $1000 7 [tex]\mathbf{ \dfrac{7}{120} = 0.059}[/tex]
$1000 - $1200 11 [tex]\mathbf{ \dfrac{11}{120} = 0.092}[/tex]
$1200 - $1400 22 [tex]\mathbf{ \dfrac{22}{120} = 0.183}[/tex]
$1400 - $1600 40 [tex]\mathbf{ \dfrac{40}{120} = 0.333}[/tex]
$1600 - $1800 24 [tex]\mathbf{ \dfrac{24}{120} = 0.2}[/tex]
$1800 - $2000 9 [tex]\mathbf{ \dfrac{9}{120} = 0.075}[/tex]
$2000 - $2200 4 [tex]\mathbf{ \dfrac{4}{120} = 0.033}[/tex]
Total 120 1
Therefore, the midpoint of the class with the greatest frequency is between $1400 - $1600 since the frequency 40 happens to be the greatest frequency
The midpoint =[tex]\dfrac{upper \ limit + \ lower \ limit}{2}[/tex]
The midpoint =[tex]\dfrac{1400+1600}{2}[/tex]
= 1500
PLEASE ANSWER QUICK!Kierran is trying to find the circumference of a circle. He knows that the radius (r) of the circle is 6 feet and that the diameter, d=2r. Which formula should he use?
A) A=3.14(2r)^2
B) C=3.14(2r)
C) A=3.14d^3
D) C=3.14(2D)
Answer:
B.Step-by-step explanation:
The formula for the circumference is of a circle is: C = 2πr. ___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)helllllp mee plzz plz tell me the answer asaP
Answer:
D 6 units
Step-by-step explanation:
the answer is d since the height times the side is the area and 6 times 4 is 24
A Poker hand consisting of five cards is dealt from a deck of fifty two cards. What is the probability that the Poker hand consists of four spades and one heart?
Answer: 108336
Step-by-step explanation:
given data:
cards on deck = 52
Since 2 queens are supposed to be in the 5 card hand. Therefore, 2 queens are choosen since we have a total of 4.
Since 2 Queens have been chosen already choosen. we are left with 3cards out of the hand of 5. This cards are to be choosen from the 48 remaining cards. Similarly same process would be used for other combination of playing cards.
(42∗483)+(43∗482)+(44∗481).
= (6 * 17296) + (4 * 1128 ) + (1 * 48)
= 103776 + 4512 + 48
=108336
The fastest pizza box folder can assemble 2 pizza boxes in 5 seconds. At this rate, how long would it take to assemble 20 pizza boxes?
Answer:
50 seconds in order to assemble 20 pizza boxes
Step-by-step explanation:
there are two ways to solve this the first way is divide 20 by 2 which is 10 and then multiply 10 by 5 the reason to this is because we know that for every 2 it takes 5 seconds.
the second way takes longer but you write:
2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
so here were basically writing the number 2 10 times because when u count that u can see that it equals 20 and then since for every 2 boxes it takes 5 seconds u put the 5 under each 2 so then you would count the 5s, like 5, 10 15, 20... and so on and u will see that its 50 which means 50 seconds.
Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year. About how long will it take for the account to be worth $9,000? (3 points) a 21 years, 1 month b 18 years, 0 months c 19 years, 10 months d 9 years, 11 months
Answer:
d 9 years, 11 months
Step-by-step explanation:
Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year.
P = $5,960.32
Rate = 4.2%
Number of years = x
Final amount=$9000
Number of times compounded= x/2
A= p(1+r/n)^(nt)
9000= 5960.32(1+(0.042*2)/x)^(x/2 *x)
9000= 5960.32(1+0.084/x)^x²/2
2(9000/5960.32)=(1+0.084/x)^x²
3.019972=((x+0.084)/x)^x²
On trial an error
The value of x is found to be approximately 9 year, 11 months
A fourth-grade class earned snow cones for reading the most number of books. Each snow cone cost $1.47. If the total cost for the snow cones was $32.34, how many fourth graders are in the class?
Answer:
22 fourth graders
Step-by-step explanation:
Set up an equation, with the total amount on one side and the amount per cone on the other. Let x represent the unknown number of students:
[tex]1.47x=32.34[/tex]
Now we need to solve for x. Do this by isolating it:
Undo the multiplication on the left side by dividing both sides by 1.47:[tex]\frac{1.47x}{1.47} =\frac{32.34}{1.47}[/tex]
The 1.47 on the left now cancels each other out. Simplify:
[tex]x=22[/tex]
x equals 22, so there are 22 fourth graders in the class.
:Done
PLEASE HELP I WANNA Sleep BC it's midnight
Please answer both A and B
For Brainliest
Pick any of the two sides and set them equal to one another. So we'll have three different equations
4(x-1) = x+8
or
x+8 = 2x+4
or
4(x-1) = 2x+4
This works because in any equilateral triangle, the three sides are the same length.
--------------------------
If you're curious about the value of x, then we could do the following steps.
x+8 = 2x+4
2x+4 = x+8
2x-x = 8-4
x = 4
If x = 4, then
4(x-1) = 4(4-1) = 12x+8 = 4+8 = 122x+4 = 2*4+4 = 12Each side is 12 units long
Answer:
5-x=40+29 (x=69)
Step-by-step explanation:
Alma is 3 years older than Liz.
Let a = Alma's age.
Then ?
=
Liz's age.
Lucy
Answer:
12 hope you understand the answer
Answer:
A-3
Step-by-step explanation:
Since Alma is 3 years older than Liz then Liz would be A-3
1/2 (b - 10) + 2b = 25
Answer:
the answer is 12
Step-by-step explanation:
Simplify both sides of the equation.
12(b−10)+2b=25
(12)(b)+(12)(−10)+2b=25(Distribute)
12b+−5+2b=25
(12b+2b)+(−5)=25 (Combine Like Terms)
52b+−5=25
52b−5=25
add 5 to both sides.
52b−5+5=25+5
52b=30
multiply both sides by 2/5.
(25)*(52b)=(25)*(30)
b=12
Answer:
b=12
Step-by-step explanation:
1/2 (b - 10) + 2b = 25
Multiply each side by 2 to get rid of the fractions
2*1/2 (b - 10) +2* 2b = 25*2
b-10 +4b = 50
Combine like terms
5b -10 = 50
Add 10 to each side
5b -10+10 = 50+10
5b = 60
Divide by 5
5b/5 = 60/5
b = 12
Use the box-and-whisker plot shown to answer the following question.
What is the interquartile range?
A. 4
B. 6
C. 9
Answer:
15-9=6 So the answer is B. 6
30 Points! will mark brainliest. answer asap Two angles form a linear pair. The measure of one angle is 23 the measure of the other angle. Find the measure of each angle. Smallest angle: Largest angle:
Answer:
157 degrees
Step-by-step explanation:
the two angles should add up to 180 degrees, so 180 - 23 = 157
answer
smallest 72 and the largest 108
find the value of x
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
First, note that the angles shown are vertical angles. In other words, the two equations are equivalent to each other.
Therefore, set the equations equal to each other and solve for x;
[tex]6x+7=8x-17[/tex]
Add 17 to both sides:
[tex]6x+24=8x[/tex]
Subtract 6x from both sides:
[tex]24=2x[/tex]
Divide both sides by 2:
[tex]x=12[/tex]
Therefore, the value of x is 12.
And we're done!
Answer:
12
Step-by-step explanation:
If x = 2 and y = 4, then (2x + 3y) ÷ 4 - 2 = A) 10 B) 9 C) 8 D) 2
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2}}}}}[/tex]
Option D is the correct option.
Step-by-step explanation:
Given, x = 2 and y = 4
[tex] \sf{(2x + 3y) \div 4 - 2}[/tex]
plug the value of x and y
⇒[tex] \sf{ (2 \times 2 + 3 \times 4) \div 4 - 2}[/tex]
Multiply the numbers which are inside the bracket
⇒[tex] \sf{(4 + 12) \div 4 - 2}[/tex]
Add the numbers which are inside the bracket
⇒[tex] \sf{16 \div 4 - 2}[/tex]
Divide 16 by 4
⇒[tex] \sf{4 - 2}[/tex]
Subtract 2 from 4
⇒[tex] \sf{2}[/tex]
Hope I helped!
Best regards! :D
Answer:
2 (D)
Step-by-step explanation:
(2x+3y)÷4-2 you replace the variables with the matching numbers, and then multiply them by the number next to them.
(4+12)÷4-2 you add the numbers together
16÷4-2 you divide 16 by 4
4-2 you subtract to
2 this is your answer
Find the equation of a line containing the given points (2,6) and (5,3). Write the equation in slope-intercept form.
Answer:
Step-by-step explanation:
(3-6)/(5-2) = -3/3= -1
y - 6 = -1(x - 2)
y - 6 = -x + 2
y = -x + 8
Simply the exponential expression 5^2
Answer:
25
Step-by-step explanation:
The value of the angle 5/4 π radians converted to degrees is:
Answer:
The answer is
[tex]225\degree[/tex]Step-by-step explanation:
In order to convert radians to degrees multiply the the value by
[tex] \frac{180\degree}{\pi} [/tex]So for the value above we have
[tex] \frac{5\pi}{4} \times \frac{180}{\pi} \\ = \frac{5 \times 180}{4} \\ = \frac{900}{4} [/tex]We have the final answer as
[tex]225\degree[/tex]Hope this helps you
Two hikers are 77 miles apart and walking toward each other. They meet in 10 hours. Find the rate of each hiker if one hiker walks 5.5 mph faster than the other.
The rate of the slower hiker is 1.1 mph and the rate of the faster hiker is 6.6 mph
Explanation
One hiker walks 5.5 mph faster than the other.
Suppose, the speed of the slower hiker is (x) mph.
So, the speed of the faster hiker will be:
(x+5.5)mph
Both hikers are walking toward each other and meet in 10 hours.
We know that, Distance = speed * time
So, the distance walked by the slower hiker in 10 hours = 10x miles and the distance walked by the faster hiker in 10 hours = 10(x + 5.5) miles.
Given that, they were 77 miles apart in the beginning. So the equation will be ...
10x + 10(x + 5.5) = 77
10x + 10x + 55 = 77
20x = 77 - 55 = 22
x = 22/20 = 1.1
Thus, the rate of the slower hiker is 1.1 mph and the rate of the faster hiker is (1.1 + 5.5) mph = 6.6 mph