Answer:
33 cups of sugar should be used
Step-by-step explanation:
subtract 12 from 21 then add that answer to 24 and you get 33 so 33 cups of sugar should be used
42 cups of sugar should be used if 21 cups of flour are used
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
For a given recipe, 12 cups of flour are mixed with 24 cups of sugar
We need to find cups of sugar should be used if 21 cups of flour are used
Let us consider x as cups of sugar should be used if 21 cups of flour are used
Let us form an equation to find x
12/24=21/x
Apply cross multiplication
12x=21×24
12x=504
Divide both sides by 12
x=504/12
x=42
Hence, 42 cups of sugar should be used if 21 cups of flour are used
To learn more on Ratios click:
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What is the solution of 8 + a = 13? Justify each step. A. The steps are: (1) 8 + a = 13 (2) 8 + 8 + a = 13 + 8 (3) a = 21 The reasons are: (1) original equation (2) Addition Property of Equality (3) Simplify. B. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 (3) a = 13 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify. C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify. D. The steps are: (1) 8 + a = 13 (2) 88+a=138 (3) a = 1.63 The reasons are: (1) original equation (2) Division Property of Equality (3) Simplify.
Answer:
C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.
Step-by-step explanation:
8 + a = 13 (original Equation)
Subtract 8 from both sides
8 + a - 8 = 13 - 8 ( subtraction property of equality
a = 5 (Simplify)
The correct answer is option C
C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.
A car travels 43 km in 56 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.
Answer:
[tex]\displaystyle v=46.07\ Km/h[/tex]
Step-by-step explanation:
Speed
The speed is the ratio between the distance x traveled by an object and the time t taken.
[tex]\displaystyle v=\frac{x}{t}[/tex]
The car travels x=43 Km in t=56 minutes. We are required to express the speed in Km/h. The time needs to be expressed in hours:
[tex]t = 56 / 60 = 0.933\ h[/tex]
Now apply the formula:
[tex]\boxed{\displaystyle v=\frac{43}{0.933}=46.07\ Km/h}[/tex]
Hmmmmmmmmmmmmmmm?????????
Answer:whats the question?????
Step-by-step explanation:
Please answerrr!!! (don’t answer if you don’t know it) will give brainliest
Which table represents a linear function?
answers are in the picture plz help im timed
Answer: first table
Step-by-step explanation: go with the first one
Mandy makes cupcakes, she uses 8 3/4 cups of flour for 12 cupcakes. How many cups of flour are needed to make 1 cupcake? Explain how you found each amount.
Answer:
Step-by-step explanation:
.75=3/4
8.75 cups divided by 12 cupcakes = .73 (rounded up) cups of flour per cupcake
1.What is the standard form of a linear equation?
A.x+y=0
B.y= MX+b
C. m=rise/run
D. ax +By=C
2.Which term could be used to describe the graph of a line on a coordinate plane?
A. independent variable
B. test points
C. set of all solutions
D. dependent variable
3.Explain whether the points (−13,4), (−7,3), (−1,2), (5,1), (11,0), (17,−1) represent the set of all the solutions for the equation y=−1/6x+11/6.
A.Yes, because all the solutions of y=−1/6x+11/6 need to be integer values for x and y.
B.No, because the point (17,−1) is not on the line that represents the equation y=−1/6x+11/6.
C.No, because the set of all solutions of y=−1/6x+11/6 is represented by the line of the equation.
D. Yes, because all of the points that are listed are on the line y=−1/6x+11/6.
Answer them all in one answer please and thank you.
Answer:
1. D
sorry I know only first one
Write the equation in vertex form using the following information: vertex (4, -6) and a=1.
Submit
Answer:
y = (x - 4)² - 6Step-by-step explanation:
An equation of a quadratic function in a vertex form is y=a(x-h)²+k, where vertex is (h, k)
vertex (4, -6) means h = 4 and k = - 6
So:
y = 1(x - 4)² + (-6)
y = (x - 4)² - 6
Please help I’m not sure what it is don’t make fun I’m not good at math
Answer:
3.75 or 3[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The first thing we can find is the scale factor of the two triangles. You can see that the corresponding sides AB and A'B' are 2 and 8 respectively, and since the two triangles are similar, you can say that triangle ABC is shrunk by a factor of 2/8 or 1/4.
Next, we need to figure out what side B'C' is and we can do this using the Pythagorean theorem [tex]a^{2}[/tex]+[tex]b^{2}[/tex] = [tex]c^{2}[/tex]. Using this, we know that [tex]8^{2}[/tex]+
Now, since ABC is shrunk by 1/4 and the corresponding side of BC is equal to 15, we need to multiply 15 by 1/4 and you would find that BC is 3.75 or 3[tex]\frac{3}{4}[/tex].
Simplify this equation (3√2)²
Answer:
18
Step-by-step explanation:
simplify the following
Answer:
D. 64 z^ 2
Step-by-step explanation:
Simplify the expression.
I need help with 9and 10 pleas
when you apply combine like terms to the right side of the equation what do you end up with?
the level of detail that an instrument can measure is known as its _____
Answer:
precision
Step-by-step explanation:
it just is
How many lines of symmetry, does this quadrilateral have
Answer:
im going to say 4 hope it helps
Step-by-step explanation:
Select each set of points that are colinear.
Answer:
friend, a points are collinear
Answer:
points K and R are colinear
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(-5,8); y=1/5x-3
Answer:
y = –5x – 17
Step-by-step explanation:
First, we shall determine the slope of the equation y = 1/5x – 3.
The slope of the equation y = 1/5x – 3 can be obtained by comparing the equation with y = mx + c.
This is illustrated below:
y = 1/5x – 3
y = mx + c
Thus, the slope (m) of equation
y = 1/5x – 3 is 1/5
Next, we shall determine the slope of the line perpendicular to the equation as follow:
For perpendicular lines, their slope (m1 and m2) are related as follow:
m1 × m2 = –1
m1 = 1/5
1/5 × m2 = –1
m2/5 = –1
Cross multiply
m2 = 5 × –1
m2 = –5
Therefore, the slope of the line is –5.
Finally, we shall determine the equation of the line as follow:
Coordinate = (–5, 8)
x1 coordinate = –5
y1 coordinate = 8
Slope (m) = –5
y – y1 = m(x –x1)
y – 8 = –5(x – (–5))
y – 8 = –5(x + 5)
y – 8 = –5x – 25
Rearrange
y = –5x – 25 + 8
y = –5x – 17
Therefore, the equation is y = –5x – 17.
help asap please click the image to find the question
Answer:33
Step-by-step explanation: You do what's inside the parenthesis first then you divide the number by 6 and lastly you add 5squared which is 25 to the quotient.
8. PLS ANSWER!!!!
and show work
Answer:
The equation of the parallel line is y = 5x + 11
Step-by-step explanation:
→ Parallel lines have same slopes and different y-intercepts
→ The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptIn our question
∵ The equation of the given line is y = 5x + 2
→ Compare it with the form above to find its slope
∴ m = 5
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line is 5
→ Substitute it in the form of the equation above
∴ y = 5x + b
→ To find the value of b substitute x and y in the equation by the
coordinates of any point on the line
∵ The line passes through point (-2, 1)
∴ x = -2 and y = 1
∵ 1 = 5(-2) + b
∴ 1 = -10 + b
→ Add 10 to both sides
∴ 1 + 10 = -10 + 10 + b
∴ 11 = b
→ Substitute value of b in the equation
∴ y = 5x + 11
∴ The equation of the parallel line is y = 5x + 11
Ignore a and b but can you help with c and d? Plz I’ll mark you as a brainiest
C: 2x+20=60
2x=40
x=20
D: 3x+10=100
3x=90
x=30
Solve the inequality below.
4(x + 3) < 6x – 2
Answer:
X > 7
Step-by-step explanation:
4(x + 3) < 6x – 2
4x + 12 < 6x -2
-6x -6x
-2x + 12 < -2
-12 -12
-2x < -14
----- -----
-2 -2
x > 7
The < change because it was divided by a negative number
evaluate = (√5+2√6) + (√8-√2√15)
Answer: 2√2 + 3√8 = 2√2 + 6√2 = 8√2 , because we simplified √8 = √(4 * 2)
Answer:
[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]
Step-by-step explanation:
[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{2} \cdot \sqrt{15} )[/tex]
[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{30} )[/tex]
[tex](\sqrt{5}+2\sqrt{6} ) + (2\sqrt{2} - \sqrt{30} )[/tex]
[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]
Which pair of quantities form a proportional relationship? Select all that apply
Answer:
The 4th and 6th
Step-by-step explanation:
Solve the following equation
5(3x+5)=3(5x+1)
Answer:
No solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
5(3x+5)=3(5x+1)
Step 1: Simplify both sides of the equation.
5(3x+5)=3(5x+1)
(5)(3x)+(5)(5)=(3)(5x)+(3)(1)(Distribute)
15x+25=15x+3
Step 2: Subtract 15x from both sides.
15x+25−15x=15x+3−15x
25=3
Step 3: Subtract 25 from both sides.
25−25=3−25
0=−22
Answer:
There are no solutions.
What is the length of c on the graph below?
6
10
8
14
Answer:
10 is the answer to the question
If a system of linear equations has the unique solution (2, -3), then its graph consists of what?
•parallel lines
•lines that intersect at a single point
•identical lines
•a y-intercept at -3
Answer: B - lines that intersect at a single point
Step-by-step explanation: Just took a test
please help! i would appreciate it!
Answer:
(Answer
Step-by-step explanation:
deleted)
A number n minus 3 is at least –5.
Answer:
n-3≥-5
If you need the equation solved...
n-3≥-5
+3 +3
n≥-2
Hope this helped!! Have a great day c:
Is Mr. Martin a hero? xplain why or why not.
Answer:
mr martin was a hero in my eyes he saved many lives and was one of the strongest people to ever live (who is mr martin?)
Step-by-step explanation:
√12
A. 2√5
B. 2√3
Which one?
Answer:
B. [tex]2\sqrt{3}[/tex]
Hope this helps!
Answer:
B.2√3
Explanation:
√2^2×√3
√2^2√3
2√3