Answer:
f = [tex]\frac{1}{9}[/tex] [C - 4(h - p)] grams
Step-by-step explanation:
Given that:
C = 4h + 9f + 4p
where: C is the calorie count contained in the serving, h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving.
To solve for the number of grams of fat, then;
C - 4h - 4p = 9f
C - 4(h - p) = 9f
Divide through by 9, so that:
[tex]\frac{C - 4(h - p)}{9}[/tex] = [tex]\frac{9f}{9}[/tex]
[tex]\frac{C - 4(h - p)}{9}[/tex] = f
∴ f = [tex]\frac{1}{9}[/tex] [C - 4(h - p)]
The number of grams of fat, f, contained in a serving of food is [tex]\frac{1}{9}[/tex] [C - 4(h - p)]
What is the slope of a line that is perpendicular to the
line shown on the graph?
Answer:
D or four
Step-by-step explanation:
The slope of a perpendicular line is always the reciprocal of the first lines slope :) have a nice day!
Triangle congruence
Answer:
Please provide more details.
Step-by-step explanation:
HEY CAN ANYONE ANSWER DIS PLS!
Which values represent solutions to Cosine (StartFraction pi Over 4 EndFraction minus x) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction sine x, where x Is an element of [0, 2Pi)?
Left-brace 0, pi right-brace
Left-brace 0, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace pi, StartFraction 3 pi Over 2 EndFraction
Answer:
C.
Step-by-step explanation:
got it right on edge :)
The given trig function consist of trig values of common angles;
The values that represent the solution to [tex]\mathbf{cos \left(\dfrac{\pi}{4} - x\right)} = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex], x ∈ [0, 2·π) are;
[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]
Reason:
The given function is presented as follows;
[tex]cos \left(\dfrac{\pi}{4} - x\right) = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]
Where;
x ∈ [0, 2·π)
We have;
cos(A - B) = cos(A)·cos(B) - sin(A)·sin(B)
[tex]cos \left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}, \ sin\left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}[/tex]
Which gives
[tex]cos \left(\dfrac{\pi}{4} - x\right) =\dfrac{\sqrt{2} }{2} \cdot cos \, x + \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]
Therefore, we get;
[tex]\dfrac{\sqrt{2} }{2} \cdot cos \, x = \dfrac{\sqrt{2} }{2} \cdot sin \, x - \dfrac{\sqrt{2} }{2} \cdot sin \, x = 0[/tex]
cos x = 0
[tex]cos \left(\dfrac{\pi}{2} \right) = 0[/tex]Therefore;
The possible solutions (x-values) to cos x = 0 are; [tex]0 \leq \dfrac{n \cdot \pi}{2} \leq 2 \cdot \pi[/tex]Where;
n = 1, 3, 5, ...
x ∈ [0, 2·π)
We get;
[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]Learn more here:
https://brainly.com/question/12774575
Customers of a utility company received notices in their monthly bills that heating costs for the average customer had increased 125% over last year because of an unusually severe winter. In January of last year, the Garcia's paid $120 for heating. What should they expect to pay this January if their bill increased by 125%?
Answer: $270
Step-by-step explanation:
Cost of heating last year = $120
The amount that they will expect to pay this January if their bill increased by 125% will be the addition of $120 and 125% of $120. This can be mathematically expressed as:
= $120 + (125% × $120)
= $120 + (1.25 × $120)
= $120 + $150
= $270
Number 4. I need help finding the value please help
Answer:
Step-by-step explanation:
what is the additive inverse of x+3
Answer:
-x-3
Step-by-step explanation:
(x+3) + the additive inverse = 0
the additive inverse = -(x+3)
Assume the two lines ↔AB and ↔XY intersect as in the diagram below. Which of the following statements are true?
Check all that apply.
How do I round up this number 86,088
Answer:
86,000
Step-by-step explanation:
You look at the 88 and 88 would round up to one, but since 1 is less than four the number becomes 86,000
(Will give Brainliest)
Answer:
b-4.2<-7.5
Step-by-step explanation:
b-4.2<-7.5
this is because the number given as "b" minus 4.2 (as shown on the left) is less than (<) -7.5, so this inequality makes sense.
Answer:
b-4.2<-7.5
Step-by-step explanation:
Multiply:
2 × (–21) × 7
Answer: 294
Step-by-step explanation: multiplying 2 x -21 = 42 42 x 7 = 294
Solve for g
-3+5+6g=11-3g−3+5+6g=11−3g
Answer:
ok the number you have you mulitiply it then you add the number you multipled then you will get you answer
Step-by-step explanation:
hope this works
Answer:
g = 1
Step-by-step explanation:
DIRECTIONS: Use this information to answer Parts A and B.
A home sold for S286,000. The amount the homeowner received, before taxes and closing costs, was the selling price minus the commission to the real estate
agent, which was 6%.
Part A
How much commission did the real estate agent earn on the sale?
Enter the correct answer in the box.
Answer:
$17,160
Step-by-step explanation:
286,000·0.06=17,160
Solving Inequalities
-4x/5 < 20
(Show your work)
Answer:
x > -25
Step-by-step explanation:
Write it out: [tex]-\frac{4x}{5} < 20[/tex] Multiply each side by 5 to cancel out the 5 under -4x. It should now look like this: -4x < 100Divide each side by -4 to cancel out the -4 next to x. It should now look like this: x > -25I hope this helps!
3(a+3)+6=30 Solve for a.
Answer:
a = 5
Step-by-step explanation:
3 (a + 3) + 6 = 30
Use the distibutive property to multiply 3 by a + 3
3a + 9 + 6 = 30
Add 9 and 6 to get 15
3a + 15 = 30
Subtract 15 from both sides
3a = 30 - 15
Subtract 15 from 30 to get 15.
3a = 15
Divide both sides by 3.
a = 15/3
Divide 15 by 3 to get 5
a = 5
Gianna paid $4.75 for a strawberry smoothie. She now has $12.35. How much money did Gianna have before she bought the smoothie? Select all that apply. m - 4.75 = 12.35 A. Add 4.75 to both sides of the equation. B. Subtract 4.75 from both sides of the equation. C. 12.35 + 4.75 = 17.10. D. 12.35 - 4.75 = 7.60. E. Gianna had $7.60 before she bought the smoothie. There is more than one answer.
Answer:
Add 4.75 to both sides of the equation.
Step-by-step explanation:
using the notation from the options in the answer, say the money that Gianna had was m
And she paid $4.75 for a strawberry smoothie.
then we can calculate the money she had by subtracting the $4.75 paid for a strawberry smoothie from m and equating it to her the balance she has currently
so mathematically
m-4.75=12.34
Add 4.75 to both sides of the equation we have
m-4.75+4.75=12.34+4.75
m=$17.09
The correct answer is
Gianna had $17.09 before she bought the smoothie
Answer:
A. add 4.75 to both sides of the equation.
C. 12.35 + 4.75 = 17.10
Step-by-step explanation:
Really need Help with this One..
Answer: 49.5
Step-by-step explanation:
All triangles equal 180 degrees
We know two of these degrees
73+57.5=130.5
180-130.5=49.5 degrees
If m<1 = 88 , find the m<3.
Answer:
87?
Step-by-step explanation:
slipknot is the answer to all your problems
Kaylee is selling candles to raise money for her lacrosse team. The large candles sell for $25 each and the
small candles sell for $10 each. She needs to raise $600. Write a function to represent how many of each type of candle Kaylee needs to sell. Let x represent the number of large candles, and let y represent the number of
small candles
Answer:25(20)+10(10)=600
X Y
Step-by-step explanation: sell 20 (X) Large candles and sell 10 (Y) small candles
I need help with this question.
Answer:
B!
Step-by-step explanation:
Find the next three term of this sequence 3.2,4.3,5.4,
Answer:
6.5, 7.6, 8.7
Step-by-step explanation:
It increases by 1.1 each time.
freeZ Pointz!!!!!!!!!
Answer:
thankk youu
Step-by-step explanation:
What is the simplest form of 4a + 8b/12
Step by step pls
Answer:
4a + 2b/3
Step-by-step explanation:
focus on 8b/12 first:
factor 8b/12 by 4 ---> 8b/12 = 4(2)b/4(3) ----> cancel 4 in the denominator and the nominator ---> 8b/12 = 4(2)b/4(3) = 2b/3
then, go back to 4a:
4a is in its simplest form, it can't be factor
therefore, plus 4a and 2b/3 = 4a + 2b/3
The cost of a layer cake is $17 plus $5 per layer. If Paul has only $30 to spend on a cake, what is the most number of layers he can afford?
(Show how to solve it)
Answer:
The most number of layers he can afford is 2
Step-by-step explanation:
We automatically have a fee of 17 so we know we have 13 dollars remaining. Using this information, we know that one layer is 5 dollars which means we can get 2 layers which is equal to 10 dollars which turns our total fee to $27. Hope this helps!
A contractor purchases ceramic tile to remodel a kitchen floor. Each tile costs $4.00, and the adhesive and grouting material needed for the whole job costs $15.82. The contractor is charged a total of $655.82, how many ceramic tiles did the contractor purchase?
Answer:
160 tiles.
Step-by-step explanation:
First let's make an equation.
Each tile costs $4, let's make t=number of tiles.
+$15.82, and the total cost being $655.82
So ideally our equation would look like
4t+15.82=655.82
Now solve.
First, subtract 15.82 on both sides.
4t=640
Second, divide 4 on both sides to make the variable t by itself.
t=160
So, the contractor purchased 160 tiles.
POSSIBLE POINTS: 4 The length of a rectangle is 4 inches more than the width. The area of the rectangle is 45 in2 Find the length and the width.
Answer:
x (x + 4) = 45
x^2 + 4x - 45 = 0
factor
(x + 9)(x - 5) = 0
x = -9 or 5
your length cannot be negative so x= 5 and x+4 =9
Step-by-step explanation:
Hope this answer is Wright
This year Ana’s mother is 2 years more than 3 times Ana’s age.
Answer:
m= 3a + 2
Ana's mother is "m"
Ana is "a"
[tex] - 5 {u}^{4} \times ( {u}^{4} )[/tex]
PLEASE HELP ME
PLEASE HELP MEEEEEEEEE
Q7) ) Match each rectangular sequence with the oval nth term expression card. ( write the number of the formula against the letter of the sequence, eg: card F- card vi) *
what is the slope and y intercept of y= -3x + 2
Answer:
The slope: -3
Y-intercept: 2
Step-by-step explanation:
Answer: The slope is -3 and the y intercept is 2.
Step-by-step explanation:
The slope is the number acting as the coefficient, which is being multiplied by the variable x and the y intercept is the constant value which never changes.
