Answer:
The gluten-free has stronger flavor of butterscotch
Step-by-step explanation:
Given
Regular Batch:
5 cups of butterscotch chips and 16 cups of regular flour.
Gluten-free batch
3 cups of butterscotch chips and 8 cups of gluten-free flour.
Required
Which batch has stronger butterscotch flavor
First, we need to determine the percentage of butterscotch in both flavors by using:
[tex]\% = \frac{Butterscotch}{Total} * 100\%[/tex]
For Regular:
[tex]\%= \frac{5}{5 + 16} * 100\%[/tex]
[tex]\%= \frac{5}{21} * 100\%[/tex]
[tex]\%= \frac{500\%}{21}[/tex]
[tex]\%= 23.81\%[/tex]
For Gluten-free
[tex]\% = \frac{3}{3 + 8} * 100\%[/tex]
[tex]\% = \frac{3}{11} * 100\%[/tex]
[tex]\% = \frac{300\%}{11}[/tex]
[tex]\% = 27.27\%[/tex]
Comparing both,
We can see that the percentage of butterscotch in gluten free batches is greater than that of regular batches
Hence:
The gluten-free has stronger flavor of butterscotch
The sum of the squares of the two consecutive multiples of 7 is 637. Write the
equation that characterizes this multiples.
Answer:
The first multiple of 7 = 14 or -21
The second multiple of 7 = 21 and -14
Step-by-step explanation:
Let
The first multiple of 7 = 7x
The second multiple of 7 = 7(x+1)
Square of the first multiple = (7x)^2
Square of second multiple = {7(x+1)}^2
Sum
(7x)^2 + 7(x+1)}^2 = 637
49x^2 + 49(x+1)^2 = 637
Divide through by 49
x^2 + (x+1) = 13
Open bracket
x^2 + x^2 + 1 + 2x = 13
Subtract 13 from both sides
x^2 + x^2 + 1 + 2x - 13 = 13 - 13
x^2 + x^2 + 1 + 2x - 13 = 0
2x^2 + 2x - 12 = 0
Divide through by 2
x^2 + x - 6 = 0
Solve the quadratic equation using factorization method
x^2 + 3x - 2x - 6 = 0
x(x+3) - 2(x+3) = 0
(x - 2) (x+3) = 0
x - 2 = 0
x = 2
x+3 = 0
x = -3
Substitute x = 2 or -3 into 7x
When x= 2
7(2) = 14
When x = -3
7(-3) = -21
The first multiple of 7 = 14 or -21
Substitute x = 2 or -3 into 7(x+1)
When x= 2
7(2+1) = 7(3) = 21
When x = -3
7(-3+1) = 7(-2) = -14
The second multiple of 7 = 21 and -14
Which of the following is the parent function of all absolute value functions?
F(x)=3x
F(x)= |x|
F(x)=2|x|
F(x)=x^2
Answer:b
Step-by-step explanation:f(x)=|x|
Help and get points and Brainlyist
Answer:
[tex]=\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{x^{3+3} }{8x} \\\\\frac{1+3}{8} \\\\\frac{4}{8} \\\\\frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
2.) Write an equation in slope-intercept form of the line that
passes through the given point and is parallel to the given line.
Parallel to: y = -3/2x + 3 Passes through: (0, -3)
O A.) y = 2/3X + 3
O B.) y = -3/2x + 3
O C.) y = 2/3x - 3
O D.) y = -3/2x - 3
Answer:
D. Y=-3/2x-3
Step-by-step explanation:
(0,-3)
-3=-2/3(0)+b
-3=b
y=-3/2x+3 parallel slope is -3/2
Y=-3/2x-3
PLS HELP ILL GIVE 30 POINT FOR WHOEVER HAS CORRECT ANSWER Find the total amount you will pay given an original price of $499.95 and tax rate of 4%.
Answer:
$519.948
Step-by-step explanation:
Slope of a line parallel to y= 4x - 2*
Answer:
Step-by-step explanation:
the parallel lines have same slope
slope(m) = 4
Vertical line q goes through plane H in the center at point X. Line t comes out of point X. Lines r and s are parallel and are at a right angle to line q. Line p goes through lines r and s. Which line is parallel to line r? line p line q line s line t
Answer:
Option C: Line s
Step-by-step explanation:
Let's refer to plane H as being 2D since we are dealing with lines.
Thus, x-axis would refer to the horizontal axis while y-axis will refer to the vertical axis.
Now, we are told that line q goes through plane H in the center at point X and that Line t is one that comes out from point X.
This means that line q and line t are parallel to each other.
Also, we are told that Lines r and s are parallel and that they're at a right angles to line q.
Since line q and line t are parallel to each other, it means that lines r and s are at right angles to both lines q and t
Thus, it means lines r and s are both perpendicular to lines q and t
Now, we are told that line p goes through r and s.
However, we want to find which line is parallel to line r.
From earlier statement we saw that lines r and s are parallel to each other.
Thus; correct answer is "line s"
Answer:
C
Step-by-step explanation:
Just did quiz on edge
Please help ! Easy 7th grade work . I’ll give brainliest
Answer:
For question one, your answer is that the daily change in the stock market is 13 points
(You would basically be dividing for both answers)
For question two, the answer is around 6 feet in depth
Step-by-step explanation:
Answer:
1.) 13
2.)either 600 or -600
Step-by-step explanation:
For #1, you would Divide 5 from 65 which equals 13.
For #2, all you practically do is multiply 60 by 10 which equals 600 but since u are going underwater (depth) it would most likely be -600
Hopes This helps :)
Write an equation in slope-intercept form for the line that passes through each pair of points:
(4, -3)(2, 3)
PLS HELP TY
Answer:
y=-3x+9
Step-by-step explanation:
The slope of the line through two points (x1,y1) and (x2,y2) can be found by using the formula below. Don't forget slope is rise over run: subtract the y-values in the numerator to get the rise and subtract the x-values in the denominator (in the same order!) to get the run. Once you know the slope (m), you're halfway there. Now all that's left to find is the y-intercept (b). To find the y-intercept, choose one of the points on the line. It does not matter which point you choose (just pick the one that looks easiest to you). Plug in the values for x and y into the equation and solve for b.
Quick i need help!! Please
Answer:
The third one
Step-by-step explanation:
asap...........Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x+8y=-16
Answer:
y=-3/2x-2
Step-by-step explanation:
Question is in the file, please help....
Answer:
A = 10% B = 50% C=75%
Step-by-step explanation:
A is 1/10 that is 10%
B is 1/2 that is 50%
C is 3/4 that is 75%
Fractions and percentages can be useful together
6) Maria bought seven boxes. A week later
half of all her boxes were destroyed in a fire.
There are now only 22 boxes left. With
how many did she start?
please helppp
Answer:
37 boxes
Step-by-step explanation:
you should try and write each of the steps into an equation of x. Where x is the boxes she started with
so, she had x boxes, she bought 7 (that's addition) and then half of those boxes (that's division) got destroyed in the fire and she has 22 left (that's your total).
you can write the equation like this:
(x+7)/2 = 22
then, you solve
(x+7) = 44
x = 37
she originally had 37 boxes
What is the circumference of the following circle?
Whats the factored form of the trinomial 2x^2-26x-60
Answer: Plz mark me brainlest
Step-by-step explanation:
You can factor out a 2, so do that first
2(x^2 - 13x + 30) = 0
Now look at x^2 - 13x + 30. Since you have a positive last term and a negative middle term, then you're looking for something in the form of (x - ?)(x - ?). We have to find two numbers whose product is 30 and whose sum is 13. The numbers must be 10 and 3:
2(x-3)(x-10) = 0
4x+12=−2x
easy points plz solve quick!
Answer:
-2
Step-by-step explanation:
Rearrange:4*x+12-(-2*x)=0
Pull out like factors:6x + 12 = 6 • (x + 2)
Solve:x+2=0
Subtract 2 from both sides of the equation:x = -2
Answer:
x = -2
Step-by-step explanation:
4x + 12 = -2x
4x + 12-12 = -2x - 12
4x = -2x - 12
4x + 2x = -2x - 12 + 2x
6x = -12
x = -2
How many square yards of carpet
are needed to cover the floor of
a room that is 18 feet long and
12 feet wide? (1 yd = 3 ft)
The area of the floor required to cover using carpet is equal to 24 square yards .
To calculate the area of the room in square yards,
convert the dimensions from feet to yards and then find the product of the length and width.
1 yard (yd) = 3 feet (ft)
Room length in yards
= 18 feet / 3 feet/yd
= 6 yards
Room width in yards
= 12 feet / 3 feet/yd
= 4 yards
Now, find the area of the room in square yards:
Area = Length × Width
Area = 6 yards × 4 yards = 24 square yards
Therefore, 24 square yards of carpet area required to cover the floor of the room.
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Solve the two step equation below:
14
=
2
x
−
2
14=2x−2
(only write the numeric answer, do not worry about writing
x
=
3
x=3 if 3 is the answer, simply
Answer for
14
=
2
x
^2
+
x
Step-by-step explanation:
Rewrite the equation as 2
x^
2
+
x=
14
.
2
x
^2
+
x
=
14
Move 14 to the left side of the equation by subtracting it from both sides.
2
x
^2
+
x
−
14
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
^2
−
4
(
a
c
)
2
a
Substitute the values a
=
2
, b
=
1
, and c
=
−
14 into the quadratic formula and solve for x
.
−
1
±
√
1
2
−
4
⋅
(
2
⋅
−
14
)
2
⋅
2
Simplify the numerator.
x
=
−
1
±
√
113
2
⋅
2
Multiply 2 by 2
.
x
=
−
1
±
√
113
4
The final answer is the combination of both solutions.
x
=
−
1
−
√
113
- 1
+
√
113
4 4
The result can be shown in multiple forms.
Exact Form:
x
=
−
1
−
√
113
, −
1
+
√
113
4
4 4
Decimal Form:
x
=
2.40753645
… , −
2.90753645
…
Does anybody know? Help
make two of this figure and keep one like that and rotate the other until they line up correctly an make a rectangle, then you will see the 30 degree angle is only half of the top square. since this is true, the top square= 60 degrees. y= 20 x= 40
Please help
What is 3-9
help meeee plezzzzzzz
Answer:
-16
Step-by-step explanation:
Or you could use desmos scientific calculator
Which statements are true? Check all that apply. The square root of a positive number greater than 1 is less than the number. O The square root of a positive number is always less than half of the number itself. The square root of a positive number less than 1 is less than the number. O The square root of a perfect square is not a whole number. U2 The square root of a positive number less than 1 is between 0 and 1 Nans this and met Save and Exit
Answer:
The square root of a positive number greater than 1 is less than the number. TRUE
The square root of a positive number is always less than half of the number itself. FALSE
The square root of a positive number less than 1 is less than the number. FALSE
The square root of a perfect square INTEGER is AN INTEGER; the square root of a perfect square such as one fourth is one half, not a whole number. THIS QUESTION NEEDED QUALIFICATION OF "number"
The square root of a positive number less than 1 is between 0 and 1. TRUE
anybody know this answer?
Answer:
y = x + 5
Step-by-step explanation:
Find any two points:
(1, 6)
(2, 7)
Slope = (y2 - y1) / (x2 - x1)
S0:
7 - 6 / 2 - 1
1 / 1
So slope = 1
Equation:
y = mx + b
Plug in the numbers using the x and y of any points:
7 = m * 2 + b
Add m (which is the slope):
7 = 1 * 2 + b
7 = 2 + b
Subtract two from both sides:
5 = b
So our equation is:
y = x + 5
Please let me know if I've done anything wrong!
Answer:
y = x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 5) ← 2 points on the line
m = [tex]\frac{5-0}{0+5}[/tex] = [tex]\frac{5}{5}[/tex] = 1
The line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = x + 5 ← equation of line
I need help with this equation
4 - 5y = -16
Answer:
89
Step-by-step explanation:
+-l
Answer: y=4
Step-by-step explanation:
4-5y=-16
(-5y +4)+ (-4)= -16 +(-4)
_5y+4-4=-16-4
-5y=-20
5y/5=20/5
2*2
y=4
-2 1/5 divided by
-3/7
Look at picture!
Answer: 5 2/15
Step-by-step explanation: hope this helps :) plz mark brainlest if it does :)
PLEASE HELP! I WILL MAKE YOU BRAINLIST!
Answer: 260
Step-by-step explanation: 39/3 = 13. 13 times 20 = 260.
Jenny solved the equation 1 – (2x + 4) = -4x + 5. Her work is shown below.
1-(2x+4)=-4x+5
Step 1: 1-2x+4=-4x+4
Step 2: 5-2x=-4x+5
Step 3: 2x=0
x=0
Identify Jenny’s error in solving the equation. Explain.
The correct value of x is 4.
It is required to find the solution.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given:
The equation is
1 – (2x + 4) = –4x + 5,
we have to find the correct solution of the equation;
According to given question we have,
Step 1: Open the parenthesis we get,
1 – (2x + 4) = –4x + 5
1-2x-4 = -4x + 5
1-4-2x = -4x +5
-3-2x = -4x + 5
Step 2: Collect like terms we get,
-2x + 4x = 5 + 3
2x = 8
Step 3: divide both sides by 2 we get,
2x/2 = 8/2
x = 4
Hence the correct value of x is 4.
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Which statement justifies why ∠FBE measures 50°? Given: angles ABD and DBC are complementary
Answer:
If two angles are vertical angles, then they are congruent.
Step-by-step explanation:
If two angles are vertical angles, then they are congruent- this justifies why ∠FBE measures 50°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
Here, given that,
angles ABD and DBC are complementary
Now, we get,
Hence, If two angles are vertical angles, then they are congruent- this justifies why ∠FBE measures 50°.
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A local hamburger shop sold a combined total of 490 hamburgers and cheeseburgers on Saturday. There were 60 fewer cheeseburgers sold than hamburgers.
How many hamburgers were sold on Saturday?
Answer:
315 hamburgurs could be a possible answer
Step-by-step explanation:
Split 490 into an even half, then take away 60, thats for chesburguers. Then subtract that from 490 to find the hambugurs.
What is the base area of a pyramid with a volume of 72 mº and a height of 12 m?
Round your answer, if necessary to the nearest hundredth.
Answer:
actual answe is root under 2