A baker needs 15 lb of cream cheese that contains 20% fat to fill a big order. But his supplier delivers one cream cheese that contains 10% fat, and another that contains 35% fat. How many pounds of each should the baker combine to fill the order?
Answer:
6 2/3 lbs of each
Step-by-step explanation:
.10x + .35x = 15(.20)
.45x = 3
x = 3/4.5
x = 6.67
Answer:
Step-by-step explanation:
[.1x+.35(15-x)]/15=.2
.1x+5.25-.35x=3
-.25x+5.25=3
-.25x=-2.25
x=9
So he will use 9lbs of 10% and 6lbs of 35%.
In a computer catalog, a computer monitor is listed as being 25 inches. If the height of the screen is 15 inches, what is the area of the screen to the nearest inch?
Answer: 20inch
Step-by-step explanation:
Using the Pythagoras theorem:-
25^2 = 15^2 + x^2 where x = the width of the screen.
625 = 225 + x^2
x = √(625 - 225) = √400
= = 20 ins
simplify ..... 12x^2 / 9x^2y show work please
Answer:
4/3y
Step-by-step explanation:
Given the expression 12x^2 / 9x^2y
12x^2 / 9x^2y
= (3*4)* x * x/(3*3)*x*x*y
= 4x^2/3x^2y
= 4/3y
hence the simplified form is 4/3y
Jaedon bought 3 toy cars for $11.70. How much would 10 cars cost?
Answer:
39
Step-by-step explanation:
11.70 divided by 3 is 3.9, and the unit rate. Multiply by 10 for the answer.
What two expressions represent 3/12?
Answer:
A and C
3x1/12= 3/12
3x1/2= 3/12
EMERGENCY! NEED QUICK
if
Answer:
100 degrees
Step-by-step explanation:
hi again,
By the linear pair theorem, Angle B + Angle E will equal 180 degrees
Angle B + 128 = 180
Angle B = 52
By the triangle Sum Theorem, Angle A + Angle B + Angle C = 180
48 + 52 + Angle C = 180
100 + Angle C = 180
Angle C = 80
Like I said, by the linear pair theorem, Angle C + Angle F will equal 180 degrees
80 + Angle F = 180
Angle F = 100
Can someone please answer this for me
Answer:
3.5
Explanation:
Take any two points of the line and simply use the formula slop = y2-y1/x2-x1
Two points that I consider
(x1, y1) = (5,0)
(x2,y2) = (7,7)
Now using the above mentioned formula,
y2-y1/x2-x1 = 7-0/7-5 = 7/2= 3.5
Hence slop of line is 3.5
Thanks for joining brainly community!
ITS AN ANGLE QUESTION PLS HELP
Answer:
The values of [tex]f[/tex] and [tex]g[/tex] are, respectively:
[tex]f = 6\,cm[/tex], [tex]g = 8\,cm[/tex]
Step-by-step explanation:
The area of the triangle ADE is:
[tex]A_{ADE} = 60\,cm^{2}-48\,cm^{2}[/tex]
[tex]A_{ADE} = 12\,cm^{2}[/tex]
The area of the triangle is defined by the following formula:
[tex]A_{ADE} = \frac{1}{2}\cdot AD\cdot DE[/tex] (1)
If we know that [tex]A_{ADE} = 12\,cm^{2}[/tex] and [tex]DE = 4\,cm[/tex], then the length of the line segment [tex]AD[/tex] is:
[tex]AD = \frac{2\cdot A_{ADE}}{DE}[/tex]
[tex]AD = 6\,cm[/tex]
And the area of the rectangle is:
[tex]A_{ABCD} = AD\cdot CD[/tex] (2)
If we know that [tex]A_{ABCD} = 48\,cm^{2}[/tex] and [tex]AD = 6\,cm[/tex], then the length of the line segment [tex]CD[/tex] is:
[tex]CD = \frac{A_{ABCD}}{AD}[/tex]
[tex]CD = 8\,cm[/tex]
Hence, the values of [tex]f[/tex] and [tex]g[/tex] are, respectively:
[tex]f = 6\,cm[/tex], [tex]g = 8\,cm[/tex]
*EXTRA POINTS* find the volume please :))
Answer:
904.32 ft^3
Step-by-step explanation:
Sphere Volume Formula: [tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]
Plug in the numbers:
[tex]\frac{4}{3}\pi 6^{3}[/tex]≅904.78
Work out the area of this semi circle Take pi to be 3.142 and write down all the digits given by your calculator
Answer:
628.4cm²
Step-by-step explanation:
Find the diagram attached
Area of the semi circle = πr²/2
r is the radius = 10cm
Area of the semi circle = π(10)²/2
Area of the semi circle = 3.142(100)/2
Area of the semi circle = 314.2×2cm²
Area of the semi circle =628.4cm²
Hence the area of the semicircle is 628.4cm²
PLEASE HELP FAST I WILL GIVE BRAINLIST AND EXTRA POINTS FOR YOU TO DRAW THE GRAPH
Answer:
literally straight on the x axis
Ron is x years old. His brother, Ray, is y years older than him. How old was Ray when Ron was first born?
Answer:
Ray was y years old when Ron was born
Step-by-step explanation:
Hey there!
The correct answer is y years old.
If he is y years older, that means that when Ron was 0, or when he was just born, Ray was y years older.
Have a terrificly amazing day! :D
what is the answer to 6−2(3x−5)=−8
Answer:
x = 4
Step-by-step explanation:
Sara collected $135 in donations for the hospital. This represents 5% of the total amount collected by her class. How much did the class collect in all?
A.$6.75
B.$130
C.$140
D.$2700
Answer:
Step-by-step explanation:
A(5/100)=135
A=100(135)/5
A=$2700
Answer:
D
Step-by-step explanation:
5/100 = 135/x
Cross multiply
5 × x = 100 × 135
5x = 13500
Divide both sides by 5 to isolate the variable
x = 2700
$2700
Check work by plugging the x value into the equation
5/100 = 135/2700
Convert 5/100 so that it has the same denominator as the other fraction
5 × 27/100 × 27
135/2700
135/2700 = 135/2700
Do they equal?
Yes, so our answer is correct
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Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
y = (-3/2)x + 9 2x + 4y = 17 solve the system of equations
step by step
Answer:
x = 19/4 and y = 15/8
Step-by-step explanation:
Given:
y = (-3/2)x + 9
2x + 4y = 17
Move y to one side:
2x + 4y = 17
y = 17/4 - x/2
Solve for x:
(-3/2)x + 9 = 17/4 - x/2
x = 19/4
Substitute x to solve for y:
y = (-3/2)(19/4) + 9
y = 15/8
2(19/4) + 4y = 17
y = 15/8
axis of symetry x^2+4+1
Solve the inequation; 5x²+82>262
In a card game, one of the players wants to draw two DIAMONDS in a row from a newly shuffled deck. (Recall a deck of cards has 52 total cards
and 13 of each symbol, including 13 diamonds.)
Create a tree diagram.
What is the probability ONE of the two cards is a diamond?
What is the probability the second card is a diamond, GIVEN the first card drawn was a diamond?
(CLICK YOUR ANSWER FROM THE OPTIONS BELOW. DON'T TYPE YOUR ANSWER IN.)
Word Bank:
382.59.235.254.191 25.559 231
Blank 1:
Blank 2:
Part A
The probability of getting diamonds on the first draw is 13/52 since we have 13 diamonds out of 52 total.
The probability of getting a non-diamond card on the second selection is 39/51 since we have 39 non-diamond cards out of 52-1 = 51 cards left over. Whatever card that was selected first is not put back. In this scenario, we are picking exactly one diamond card.
The probability of both events occurring is (13/52)*(39/51) = 13/68. I skipped a few steps but hopefully you can see how I arrived at that fraction.
The same probability shows up if we had a non-diamond card drawn first followed by a diamond card. This is because we compute (39/52)*(13/51) = 13/68.
So overall, the answer as a fraction is 13/68 + 13/68 = 26/68 = 13/34
The answer in decimal form is roughly 13/34 = 0.3824 which converts to 38.24%
---------------
Answer in fraction form = 13/34Answer in decimal form = 0.3824 (approximate)Answer in percent form = 38.24% (approximate)============================================================
Part B
We're told that "given the first card drawn was a diamond" so we only need to worry about the second card.
We have 13-1 = 12 diamonds left out of 52-1 = 51 total.
The probability of picking another diamond is 12/51 = 0.2353 approximately. This converts to 23.53%
-----------------
Answer in fraction form = 12/51Answer in decimal form = 0.2353 (approximate)Answer in percent form = 23.53% (approximate)HELP PLEASEEEEE!!!!!!! IN NEED THE ANSWER LIKE YESTERDAY
Answer is 214
Step-by-step explanation:
because if you add them it equal that number
Xander goes to the movies with his family. Each family member buys a ticket and two boxes of popcorn. There are five members of his family. Let t represent the cost of a ticket and p represent the cost of a box of popcorn. Explain how each expression describes the situation in a different way.
Answer:
t + 2p = cost of 1 family member
Step-by-step explanation:
Because there are 5 family members who buy 1 ticket and 2 boxes of popcorn, we must multiply the cost of one family member by five .
5(t + 2p) = total cost of the whole family.
We can distribute 5 and the above equation will become.
5t + 2(5)p ⇒ 5t + 10p = total cost of the whole family.
Hope that helps! :)
Answer:
Step-by-step explanation:
t + 2p = cost of 1 family member
since there are 5 family members who bought one ticket and 2 popcorn, we simply multiply the cost of 1 family member by 5.
5(t + 2p) = total cost of the whole family.
We can distribute 5 and the above equation will become.
5t + 2(5)p ⇒ 5t + 10p = total cost of the whole family.
Solve this equation 53y - 55 = 42y
what is the common ratio? {250, 50, 10, 2...}
Answer:
5
Step-by-step explanation:
The common ration can be found by dividing the 2nd number from the 1st number:
250 / 50
which equals 5
250 / 50 = 5
you can do this by any number, for example:
50 / 10 =5
10 / 2 = 5
Which property is demonstrated below?
(a+b)+c=(b+a)+c
A. Commutative property of addition
B.Associative property of addiction
C.Identity property of addition
D.Distributive property
Answer:
Associative property of addition
Answer:
B.Associative property of addiction
Step-by-step explanation:
Sophia buys an apple that weighs 0.45 pound, a grapefruit that weighs pound, a navel orange that weighs pound, and a pear that weighs 0.5 pound. What is the order of the fruit from least
Answer:
The order of fruit from least to greatest weight is -
Apple , pear, navel orange, grapefruit
Step-by-step explanation:
P.S - The exact question is -
Given - Sophia buys an apple that weighs 0.45 pound, a grapefruit that weighs [tex]\frac{3}{4}[/tex] pound, a navel orange that weighs [tex]\frac{5}{8}[/tex] pound, and a pear that weighs 0.5 pound.
To find - What is the order of the fruit from least weight to the greatest weight ?
Proof -
Weight of apple = 0.45 pound
Weight of grapefruit = [tex]\frac{3}{4}[/tex] pound = 0.75 pound
Weight of navel orange = [tex]\frac{5}{8}[/tex] pound = 0.625 pound
Weight of a pear = 0.5 pound
As,
0.45 < 0.5 < 0.625 < 0.75
So, The order of fruit from least to greatest weight is -
Apple , pear, navel orange, grapefruit
Solve graphically.
5x+7y=1 and x+4y=-5
Answer:
{x,y} = {3,-2}
Step-by-step explanation:
Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
The equations are given below.
5x + 7y = 1
x + 4y = -5
Convert the equation into an intercept form. Then we have
From equation 1, then we have
5x + 7y = 1
x / (1/5) + y / (1/7) = 1
From equation 2, then we have
x + 4y = -5
x / (-5) + y / (-5/4) = 1
The lines are drawn below.
Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
–3y9 number of terms
Answer and Step-by-step explanation:
[tex]-3y^{9}[/tex]
This value above is ONE term. Even though it is made up of more values and stuff, it is all one term BECAUSE they are all connect, so the -3 is with the y by multiplication, and the 9 is with -3y as an exponent of y.
#teamtrees #PAW (Plant And Water)
62% of trees were saved from a fire. If this represents 1420 trees, how many trees were originally in the forest?Round to the nearest whole tree.
Answer:
2290 trees
Step-by-step explanation:
Given data
Let the total number of trees be x
62% of the total trees x is 1420 trees
mathematically
62/100x= 1420
0.62x= 1420
divide both sides by 0.62
x= 1420/0.62
x= 2290.32
To the nearest whole tree= 2290 trees
what is the surface area of the figure?
Answer:
96
Step-by-step explanation:
first off you know that it is a square pyramid, so you can assume that all base lengths are 6.
i am going to find the base first. it is 36 because 6*6-36 save this in your mental memory
next, we have to find the 4 triangles
we know that they are 5 by 6 but you have to divide them by 2
so 30/2=15 and there are 4 of them
15*4=60
now add together 60 and 36 and you get 96
hope this helps!
Which of the following choices shows the equation solved for y
7x + 2y = 10
1. y = -7/2x + 5
2. y = 7/2x +10
3. y = 7/2x + 5
4. y = -7x + 10
Answer:
#1; [tex]y = -\frac{7}{2}x+5[/tex]
Step-by-step explanation:
[tex]7x+2y=10[/tex]
[tex]2y = -7x + 10[/tex]
[tex]\frac{2y}{2} = -\frac{7x}{2} + \frac{10}{2}[/tex]
[tex]y = -\frac{7}{2}x + 5[/tex]