Answer:
The volume of the 12% sugar solution required, 'X' for a given volume of the 8% sugar solution, 'Y' is;
X = (2·Y + 15)/2
When the volume of the 8% sugar solution, Y = 2 quartz, the volume of the 12% sugar solution required, X = 9.5 gallons
Step-by-step explanation:
The data of the sugar solutions are;
The volume of 5% sugar solution Kate has = 3 quarts
The volume of the 12% sugar solution = X
Let 'Y' represent the volume of the 8% sugar solution, we have;
The volume of the resultant solution, Z = X + Y + 3
The concentration of the resultant solution = 10%
0.05 × 3 + 0.08·Y + 0.12·X = 0.1·(X + Y + 3)
Solving gives the relationship between the volume of the 12% sugar solution, 'X', and the 8% sugar solution, 'Y' in quartz, as follows;
X = (2·Y + 15)/2
When the volume of the 8% sugar solution, Y = 2 quartz, we have;
X = (2 × 2 + 15)/2 = 9.5
Therefore, the volume of the 12% sugar solution Katie requires to make the 10% sugar solution is 9.5 quartz.
Two equations are given. m + 5n = 20
m = n-4
What is the solution to the set of equations in the form (m, n)?
A (3,7)
B (0,4)
C (5, 1)
D (2,6)
Please help
Answer:
B. (0, 4)
Step-by-step explanation:
so we need to find the value of m and n, and luckily we have 2 equations that'll help. (I'm going to use the substitution method for this instead of the Elimination method because I am lazy)
first we need to solve for m, but we already have an equation that tells us what m is equal to, m = n - 4.
now we just need to plug in our new m into the other equation and solve for n. (we are using m + 5n = 20 for that)
so now we get
(n - 4) + 5n = 20
so we solve for n
n + 5n = 24
6n = 24
n = 4
now that we know that n is 4, we can plug that into our m equation (m = n - 4)
m = 4 - 4
m = 0
now we have our m and n, and we can make our ordered pair.
(m, n)
(0, 4)
In a class of 45 students, 25 play
hockey and the remainder play
football
a. What fraction of the class
play football?
d. ir of the students who play
football also play tennis, what
fraction of the class also plays
tennis?
Answer:
a. I think is twenty
d. ??????????
The surface area of the cylinder
u just gotta find the area
Answer:
28
Step-by-step explanation:
Convert to an improper fraction: 4 3/5
Answer:
23/5
Step-by-step explanation:
multiply denominator by whole number. add the numberator. sum will now be your new numberator (denominator always stays the same).
hope this helps! (❁´◡`❁)
-10x+10y=-10 10x-10y=10
Answer:
X=-Y
Step-by-step explanation:
...........................
Find the measure of one interior angle of a 15-gon. (1 point for work, 1 point for correct answer
Answer:
[tex](180 - 15) = 165[/tex]
4 4
Darren makes $10 per hour. Next semester, he will be
making $14 per hour. What rate of increase does this
represent? Round the answer to the nearest tenth of a
percent.
a) 28.5%
b) 40%
c) 71%
d) 60%
Answer:
40
Step-by-step explanation:
[tex]14 - 10 = 4 \\ \frac{4}{10} \times 100 = 40[/tex]
Which expression is equivalent to csc x – sin x?
a.
cos^2x/sinx
c.
sin x – cos x
b.
sin x + cos x
d.
cos^2x + sin^2x
Answer:
a edge 2021
Step-by-step explanation:
im b o r e d so
what yall doing
Step-by-step explanation:
Nm :/
Bored too
what r u doing?
Answer:
hi
Step-by-step explanation:
pppppppppppppp
Why is it important to know how to use area or volume in real life?
On an architect's drawing, the scale is 1 inch equals 6.5 feet. The distance on the drawing of the width of the dining room is 3.5 feet. How wide is the actual dining room?
Answer:
22.75
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
3.5 x 6.5 = 22.75 ft
Last year a student correctly answered 4/5 of the total 40 questions given.What percent of the total questions she correctly answered?
Kevyn has a bag of jolly ranchers. Kevyn gave 3/8 of the bag to Alex and 1/4 of the bag to Marisa. Kevyn also gave 1/2 of the remaining candy to his favorite teacher Mr. Lee. How much of the total candy bag did Kevyn give to Mr. Lee.
Answer: 3/16
Step-by-step explanation: after giving it to Alex and Marisa there is only 3/8 left. Half of 3/8 is 1.5/8 or 3/16
plz help right now illl give brainlist 5.0 and say thanks
Answer: 4+4+1
Step-by-step explanation: 4+4+1=4+5
Hope this helps!
Which graph fits this line? y = 2x + 1
Answer:
Calculating two points and drawing the line between the two.
Explanation:
To find the y-intercept, put x = 0
y = 2 (0) - 1
y = -1
To find the x-intercept, put y = 0
2x - 1 = 0
2x = 1
x = 1/2
Draw your system of axis. Mark -1 on the y-axis, and 1/2 on the x-axis.
Now draw a line through these two ponts. Add arrows.
==============================================
To draw the graph by using points,
let x = -1, then y = 2 (-1) - 1 = -2 - 1 = -3
first point is (-1; -3)
Let x = 0, y = 2 (0) - 1 = -1
Second point is (0; -1)
Let x = 1, y = 2(1) - 1 = 1
Third point is (1; 1)
Plot the three points and draw a line through them. Add arrows to your line.
A homeowner wants to determine how much paint is needed to paint the walls of his living room.
Choose the two variables the homeowner should most consider when deciding how much paint is necessary.
A.
the cost of one gallon of paint
B. the number of rooms in the house
c. the number of walls in the living room
D. the area of the walls in the living room
E. the area that one gallon of paint will cover
Answer:A
Step-by-step explanation:becouse it makes sen e
Answer:
c & d
Step-by-step explanation:
What is the volume of the following image?
A single, standard number cube is tossed. What is the probability of getting a number other than 6?
A. 1
B. start fraction 1 over 3 end fraction
C. start fraction 5 over 6 end fraction
D. start fraction 1 over 6 end fraction
Answer:
c. start fraction 5 over 6 end fraction
Step-by-step explanation:
there are six numbers on a cube
1, 2, 3, 4, 5, 6
there are 5 other numbers other than 6
5/6
5 = other than 6
6 = total numbers
Find the circumference and the area of a circle with diameter 8 yd.
Use the value 3.14 for n, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
Circumference: 25.12
Area: 50.24
Step-by-step explanation:
Circumference: 3.14*8
Area: 1/4*3.14*8*8
A car dealership has $3,570 to spend on newspaper ads. If each ad costs $70, how many ads can the dealership buy?
Answer:
51
Step-by-step explanation:
A local theater charges $7.50 for adult tickets and $5.00 for discount tickets. The theater needs to
make at least $240 to cover the rent of the building. If 20 discount tickets are sold, how many adult
tickets must be sold?
A-less than 10 tickets
B-15 adult tickets
C-at least 19 adults tickets
D-no more than 8 adult tickets
Answer:
C
Step-by-step explanation:
the theater sold 20 discount tickets=5*20=100$
the number of tickets for adult must be =140/7.5=18.7 ~19 tickets at least
I will give brainliest. write the least squares regression equation that models the data. Round your values to the nearest hundredth.
Which side lengths form a right triangle? Choose all that apply. 5, the square root of 8, 33 or 8,15,17 or the square root of 2, the square root of 2, 2
Answer:
17² = 15² + 8²
2² = (√2)² + (√2)²
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.
In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides. Hence:
33² ≠ (√8)² + 5² (not right triangle)
17² = 15² + 8² (right triangle)
2² = (√2)² + (√2)² (right triangle)
A rectangle has a length that is twice the width. The width is to be extended by 5 ft and the length by 3 ft, so the total area becomes 99 square feet. What was the original length?
Answer Choices:
4 ft
6 ft
8 ft
10 ft
12 ft
14 ft
16 ft
Answer:
8 feet
Step-by-step explanation:
w = width
2s = length
Find 'w' by multiplying the new dimensions:
(w+5)(2w+3) = 2w² + 3w + 10w + 15 = 99
simplify:
2w² + 13w - 84 = 0
Factor:
(2w + 21)(w - 4) = 0
w = -21/2 ** disregard because a measurement cannot be negative **
w = 4
original width was 4
orginal length was twice 4 or 8 feet
What is the approximate distance from the origin to the point (−5, 6, −1)? Round to the nearest tenth.
o3.2 units
o3.5 units
o7.7 units
o7.9 units
Answer:the answer is o.7.7
Step-by-step explanation:
If (X+2,4) and (5,y-1 are equal ordered pairs ,Find the value of X and y
Answer:
x = 3, y = 5
Step-by-step explanation:
Since the ordered pairs are equal, then equate the x and y coordinates
x + 2 = 5 ( subtract 2 from both sides )
x = 3
y - 1 = 4 ( add 1 to both sides )
y = 5
Julius is going to have a meal with an appetizer and an entrée.
There are 3 choices for the appetizer and 4 choices for the entrée.
How many different meals does he have to choose from?
I think he have choose 10
solve for the value of k
Answer:
k = 42
Step-by-step explanation:
This is a complementary angle, meaning that the angles formed equal 90 degrees. We know it is complementary because the angle is shown was a tiny square, a sign that it is 90 degrees. Thus, the two angles (k+1) and 47 added together must equal 90. So, we can write an equation:
(k+1) + 47 = 90
k + 1 = 43
k = 42.
Solve the quadratic formula for (5x+3)(5x-3)=19X
Must show all workings
The value of x for the given quadratic equation is (19+[tex]\sqrt{1261}[/tex])/50,
(19-[tex]\sqrt{1261}[/tex])/50.
What is a quadratic equation?It is in the form of a[tex]x^{2} +bx+c[/tex]. It is simply an equation and we have to solve for x.
How to solve a quadratic equation?If we solve the given equation we will be able to get the following equation
[tex]25x^{2} -19x-9=0[/tex]
x=(-b+-[tex]\sqrt{b^{2}-4ac }[/tex])/2a
when we put b=19 a =25 c =-9
we will get x=[tex](19+\sqrt{1261} )/50 , (19-\sqrt{1261} )/50[/tex].
Learn more about quadratic equations at https://brainly.com/question/1214333
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