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Related Questions
how much water do you add  to make 12% sugar syrup using 5g sugar?
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so the syrup is just water and sugar, we know that the sugar percent is just 12%, and that happens to be 5grams.
now 100% - 12% is 88%, so the 88% leftover will just be water.
if 12% is 5g, how much is 88%?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 5&12\\ x&88 \end{array}\implies \cfrac{5}{x}=\cfrac{12}{88}\implies \cfrac{5}{x}=\cfrac{3}{22}\implies 110=3x \\\\\\ \cfrac{110}{3}=x\implies 36\frac{2}{3}=x[/tex]
Answer:
[tex]36\dfrac{2}{3}[/tex] g of water.
Step-by-step explanation:
You know that 5 g of sugar form 12%. Let x g be the amount of water needed. The total amount of syrup will be x+5 g. Then
5 g - 12%,
x+5 g - 100%.
Mathematically, you can write a proportion:
[tex]\dfrac{5}{x+5}=\dfrac{12}{100}\Rightarrow 500=12(x+5),\ 500=12x+60,\ 12x=440, \\ \\x=\dfrac{440}{12}=\dfrac{110}{3}=36\dfrac{2}{3}.[/tex]
Solve log2 ( x - 1 ) + log2 ( x + 1 ) = 3
check answers are in domain
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write a whole number as a fraction the number 5
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5/1, as 5 divided by 1 = 5
Hope this helps
Hope this helped!
1/3 equivalent first 2 fractions
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1/3 is equivalent to 2/6
Here is why:
1 x 2 = 2
3 x 2 = 6
You can do this by cross multiplying 1/3 and 2/6
That's how you get 2/6 as an equivalent fraction.
1/3 is also equivalent to 3/9
Here is why:
3 x 1 = 3
3 x 3 =9
You can also do this by cross multiplying 1/3 and 3/9
That's how you get 3/9 as an equivalent fraction.
There are also many other fractions that are equal to 1/3, but these are the first two.
Hope this helps you.
Have a great day!
Divide. 3.2 ÷ 0.8 help me e pleaseeeeeeeeeeee !!!!!!
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Find the specified vector or scalar.
u = -4i + 1j and v = 4i + 1j; Find ||u+v||
a. sqrt32
b. 2
c. 5
d. 8
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Kate ran 6 miles. How far did she run in kilometers?
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Final answer:
Kate ran approximately 9.66 kilometers after converting her distance run in miles to kilometers using the conversion factor of 1 mile equaling 1.60934 kilometers.
Explanation:
Kate ran 6 miles and we need to convert that distance into kilometers. To do this, we use the conversion factor that 1 mile is approximately equivalent to 1.60934 kilometers. By multiplying 6 miles by this conversion factor, we get:
6 miles × 1.60934 km/mile = 9.65604 kilometers
So, from the above calculation Kate ran roughly 9.66 kilometers, considering we usually round the result to two decimal places when dealing with distances unless high precision is required.
Assume you have a poker chip set containing blue, red, and white chips, all of the same size. you place 15 blue chips, 10 red chips, and 25 white chips in a bag. as you are about to randomly draw a chip from the bag, you bet your friend you will pick a red chip from the bag because you feel that red is your lucky color.
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if f(x) varies directly with x2, and f(x) = 96 when x = 4, find the value of f(6).
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96=k(4)
k=24
f(x)=kx
f(6)=24(6)
f(6)=144
The length of a rectangle is 7 m less than triple the width. if w represents the width, write an expression for the length, l. question 13 options:
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The expression 52x – 169 is equivalent to 13
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In a sale Gameboys are reduced by two-fifths. What is the sale price if the original price was $50.00?
(PS: Please write how you got the answer)
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So, the Gameboys were sold for $5
Please mark as brainliest.
What is the a-value of the function, then determine if the graph opening up or down f(x)=−5(x+7)2+6?
Question 4 options:
a = -5, opens down
a = -5, opens up
a = 7, opens up
a = 7, opens down
Answers
the equation of the vertical parabola in the vertex form is
y=a(x-h)²+k
where
(h,k) is the vertex of the parabola
if a> 0 then
the parabola opens upwards
if a< 0
then the parabola open downwards
in this problem we have
f(x)=−5(x+7)²+6
a=-5
so
a< 0 -------> the parabola open downwards
the vertex is the point (-7,6) is a maximum
the answer is the option
a = -5, opens down
see the attached figure
a = -5, opens down
Explanation:
The general form of the quadratic equation is:
f(x) = a(x-h)² + k where (h,k) is the vertex of the parabola.
The value of the "a" determines whether the parabola is open upwards or downwards:
1- if the value of "a" is positive, this means that parabola opens upwards
2- if the value of "a" is negative, this means that the parabola opens downwards
Now, for the given:
f(x) = -5(x+7)² + 6
By comparison, we can note that:
a = -5
The value of "a" is negative which means that the parabola opens down.
The attached image shows the graph of the given function
Hope this helps :)
what is the correct answer to this question?
a
b
c
d
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.. from 275/6.58 = $41.79
.. to 275/6.25 = $44.00
which is a change of $2.21.
Megan buys 3 bracelets and 3 necklaces. Each bracelet costs 5. Megan pays on 40 and gets 4 change. what is the cost of one necklace?
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3x5=15 <-- that's how much the bracelets cost
36-15=21 <-- that's how much she had left over
21/3=7 <-- that's how much one necklace costs
One necklace costs $7.
Kieran is making a birthday card with construction paper. He wants to cut a circle out of a square piece of construction paper. The circle will have a radius of 6 inches. In square inches, what is the area of the smallest piece of construction paper Kieran could use?
Answers
For this the length of the square paper should be equal to the diameter of the circle.
If so the the area of the square piece of paper needed;
area = length * length
length of the square = diameter of the circle
diameter = 2 radii
= 2 * 6 inches
= 12 inches
Therefore length of square = 12 inches
area of the square = 12 inches * 12 inches
= 144 sq.inches
Based on each applicant’s median credit score, to which client is Rachel likely to offer the best interest rates? a. Leslie b. Pat c. Sam d. Alex
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Just got this question in a practice test on Edge. The answer is definitely Alex, or D.
Read the statement, and identify the expressions that are equivalent. the product of a number minus 17 and 5
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Answer:
The expressions equivalent to 'the product of a number minus 17 and 5' are (n - 17) x 5 and 5(n - 17), where n is the unknown number. These cannot be simplified further without additional information.
Step-by-step explanation:
The statement 'the product of a number minus 17 and 5' can be translated into an algebraic expression. This expression would look like (n - 17) × 5 or 5(n - 17), where n represents the unknown number. Both expressions are equivalent and represent the same mathematical operation.
When simplifying algebraic expressions, it is important to eliminate terms wherever possible to get a more straightforward expression. However, in this case, since we don't have a specific value for n, we cannot simplify the expression further without additional information.
Always remember to check your answer to ensure that the expression makes sense and is reasonable within the context of the problem.
The circumference of a circle is 31.4 inches. What is the circle's diameter? C=31.4 in Use 3.14 for .
Answers
C = 2πr
31.4 = (2)(3.14)(r)
31.4 = 6.28r
5 = r
So our radius is 5 in.
We can multiply it by 2 to get the diameter.
5*2 = 10
So the diameter is 10 inches
this can be calc for a form
Please help with the question. For some reason, I find it confusing and I need some assisstance. Thank you!
Answers
C=4x5+2.
C=20+2
C=22
You need 22 chairs.
Answer: i think it is 22
Step-by-step explanation:
What is the solution of the system?
Use the elimination method.
4x+2y=18
2x+3y=15
Answers
{2x+3y=15 -divide both sides by -2
-2x-y=-9
2x+3y=15
-sum the equations vertically to
eliminate at least one variable
2y=6 divide both sides of the equation
by 2
y=3
-substitute the given value of y into the simplest equation
2x+3*3=15
-solve for x
x=3
-the solution of the system is the ordered pair (x,y)
(x,y)= (3,3)
Check √
-check if the given ordered pair is a solution of the system of equations
{4*3+2*3=18
{2*3+3*3=15
simplify the inequalities
{18=18
{15=15
-since all of the equalities are true the ordered pair is the solution of the system
Answer:
-divide both sides by -2
-2x-y=-9
2x+3y=15
-sum the equations vertically to
eliminate at least one variable
2y=6 divide both sides of the equation
by 2
y=3
-substitute the given value of y into the simplest equation
2x+3*3=15
-solve for x
x=3
-the solution of the system is the ordered pair (x,y)
(x,y)= (3,3)
Check √
-check if the given ordered pair is a solution of the system of equations
{4*3+2*3=18
{2*3+3*3=15
simplify the inequalities
{18=18
{15=15
-since all of the equalities are true the ordered pair is the solution of the system
Step-by-step explanation:
Please completely factor the following expression. e. 3x^2+5xy-2y^2
Answers
Simplifying:
3x^2 + 5xy + - 2y^2
Reorder Terms:
5xy +3x^2 + - 2y^2
Factor a Trinomial.
(3x + - 1y)(x + 2y)
Final Result:
(3x + - 1y)(x + 2y)
Hope this helps!!!
How many pounds must a sand bag weigh to test if a safety net can absorb the proper amount of force?
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hope i helped
To test if a safety net can absorb the proper amount of force, you would need to determine the weight of the sand bag. This can be done by using the concept of Newton's second law and calculating the mass of the sand bag using the equation F = mg, where F is the force required and g is the acceleration due to gravity.
Explanation:To test if a safety net can absorb the proper amount of force, you would need to determine the weight of the sand bag. This can be done by using the concept of Newton's second law, which states that force equals mass times acceleration. You would first need to calculate the acceleration of the sand bag using the formula F = ma, where F is the force required to be absorbed by the safety net and a is the acceleration. Once you know the required force and acceleration, you can calculate the mass of the sand bag using the equation F = mg, where g is the acceleration due to gravity (approximately 9.8 m/s²).
For example, if the required force is 500 N and the acceleration is 5 m/s², you would calculate the mass of the sand bag as follows:
F = ma
500 N = m * 5 m/s²
m = 500 N / 5 m/s²
m = 100 kg
Therefore, the sand bag must weigh 100 kilograms (or approximately 220 pounds) to test if the safety net can absorb the proper amount of force.
Learn more about Weight of sand bag for safety net testing here:https://brainly.com/question/31920126
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A basketball player practices free throws by shooting 50 free throws a day. she records the number of free throws made each day. her number of free throws made is normally distributed with a mean = 34 free throws and standard deviation = 5 free throws. using appropriate rule learned in lesson 10, approximately what percent of the days does she make less than 29 free throws?
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Answer: 46%
Step-by-step explanation:
A rancher wants to fence in a rectangular area of 14900 square feet in a field and then divide the region in half with a fence down the middle parallel to one side. What is the smallest length of fencing that will be required to do this?
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.. L = 2x +3*A/x
The derivative of this with respect to x is
.. L' = 2 -3A/x²
L will be minimized when this is zero.
.. 0 = 2 -3A/x²
.. x² = 3A/2
.. x = √(3A/2)
For this value of x, the total length of fence is
.. L = 2√(3A/2) -3A/√(3A/2)
.. L = 4√(3A/2) = 2√(6A)
For this problem, A = 14,900 ft², so
.. L = 2√(6*14,900 ft²) ≈ 597.997 ft
The smallest length of fence required to fence the rectangular area is 598 ft.
the slope of the line passing through (-9,-6) and (-15,y) is 2/3. what is the value of y
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Sir, please show your work
What is the best measure of the center for the data set: 2,2,2,4,4,5,5,5,7,7,15,17
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What is the mean of the data set?
10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16
12.00
12.25
12.75
15.50
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I just had this question on a test and that's the answer!!!
u just add then all together and divide them by how any numbers there are!!
10 + 15 + 14 + 8 + 18 + 11 + 12 + 12 + 10 + 10 + 17 + 16 = 153/12 = 12.75
Answer:
the answer is 12.75
Step-by-step explanation:
btw if you need the median is 12 :>
which of the following expressions is equivalent to the expression below ?
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hello, Can someone please help me with this math problem? thanks!