Answer:
-42 ft
Step-by-step explanation:
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Tyler has a 5-gallon jug (which holds 80 cups) to use for his lemonade stand and 16 cups of lemonade mix. Which lemonade recipe should he use?
Answer:
4 cups of water per one cup of lemonade mix
Step-by-step explanation:
80 - 16 = 64
64/16=4
4 cups per cup
4 cups of water per one cup of lemonade mix.
What is division?Division is the process of splitting a number or an amount into equal parts.
Here, we have,
80 - 16 = 64
64/16=4
Hence, 4 cups per cup of lemonade mix.
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What does x equal?
Solve:
5x^2+5x-4=2x-3
Answer:
[tex]x=\frac{-3+\sqrt{29} }{10}[/tex] and [tex]x=\frac{-3-\sqrt{29} }{10}[/tex]
Step-by-step explanation:
Solution is attached
Answer:
X= 1
Step-by-step explanation:
5x^2 +5x-4=2x-3. 25x+5x=30x
25x+5x-4=2x-3.
30x-4=2x-3. 30x-2= 28x
28x-4=-3
add +4 to both sides
28x/28 = 1/28
x=1
2x-y=7
3x-2y=10
Solve with substitution show steps please.
9514 1404 393
Answer:
(x, y) = (4, 1)
Step-by-step explanation:
Step 1. Look for an equation that has a coefficient of 1 or -1 for one of the variables. Here, that is the first equation, which has a y-coefficient of -1.
Step 2. If you found such an equation, solve for the variable.
y = 2x -7
Step 3. Use that expression for the variable to substitute into the other equation.
3x -2(2x -7) = 10
Step 4. Solve the resulting equation in the usual way.
3x -4x +14 = 10 . . . . . eliminate parentheses
-x +14 = 10 . . . . . . . collect terms
4 = x . . . . . . . . . separate variable terms and constant terms. Here, we added x-10 to both sides.
If the variable has a coefficient that is not 1, divide both sides by that coefficient.
Now, you can use this value in the expression for y that we found above.
y = 2(4) -7 = 1
The solution is (x, y) = (4, 1).
A school was taking a field trip. The principal wanted 2 teachers for every 45 students. If 270 students will be attending the trip how many teachers must chaperone
Answer:
The answer is 6.
Step-by-step explanation:
If there are 270 students going on the trip and there would be a teacher for every 45 students you would have to divide.
You would divide 270 ÷ 45 = 6.
The required number of teachers for the trip is 12.
Given that,
A school was taking a field trip. The principal wanted 2 teachers for every 45 students. If 270 students will be attending the trip how many teachers must chaperone is to be determined.
Proportionality is defined as between two or more groups of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.
Let the number of teachers is x and the number of students is y, which are directly proportional to each other
y ∝ x
y = km
where k is the constant proportionality.
at y = 45 x = 2
45 = K * 2
K = 45 / 2
Now,
y = 45/2 x
Now for y =270
270 = 45 / 2 x
x = 270 * 2 / 45
x = 12
Thus, the required number of teachers for the trip is 12.
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The steps to convert 17 over 4 to a decimal are shown below:
In what step is the first error?
step 1
step 2
step 3
step 4
Solve the system of equations below for x, y, and z.
4x – 2y + 3z = 9
x - 2y=-3
2x + 3y=1
What is the solution (x, y, z)?
The solution to given system of equations are x = -1, y = 1 and z = 5 which is determined by the substitution method.
The given system of equations below as
4x – 2y + 3z = 9 ....(i)
x - 2y = -3 ....(ii)
2x + 3y = 1 ....(iii)
By equation (ii) and solving for x to get
x - 2y = -3
x = 2y - 3 ....(iv)
Substitute the value of x = 2y - 3 in the equation (iii)
2(2y - 3) + 3y = 1
4y - 6 + 3y = 1
7y = 7
y = 1
Substitute the value of y = 1 in equation (iv) to get,
x = 2(1) - 3
x = -1
Substitute the values of x = -1 and y = 1 in equation (i), and solve for z
4(-1) – 2(1) + 3z = 9
-4 - 2 + 3z = 9
3z = 15
z = 5
Therefore, the solution to given system of equation are x = -1, y = 1 and z = 5.
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What is the circumference of a circle with a radius of 40?
Answer:
C ≈ 251.33
Step-by-step explanation:
The circumference of a circle is C = 2πr
Radius = r = 40 is given in the problem
C = 2* 3.14 * 40
C ≈ 251.33
Answer:
251.2
Step-by-step explanation:
Given,
Radius ( r ) = 40
To find : Circumference of a circle = ?
Formula : -
Circumference of a circle = 2πr
Note : -
The value of π is :
22 / 7 ( in fraction ).3.14 ( in decimal ).Solution : -
Circumference of a circle = 2πr
= 2 x 3.14 x 40
Circumference of a circle = 251.2
Therefore,
Circumference of a circle is 251.2
SOLVE THE INEQAULITY: −7w > 49
I need help solving this!!!
Answer:
do the work if you think its easy
Which relations represent functions? Select all that apply. (25 Points)
please please please
Answer: what type of math is that?
Step-by-step explanation:
Evaluate the expression when a=33 and b=5 .
a-{20}{b}[/tex]
Step-by-step explanation:
a = 33
b = 5
= a - 20/b
= 33 - 20/5
= 33 - 4
= 29
I need help good amont of points too!!
Answer:
The answer is B, the second one
Step-by-step explanation:
You have to reduce 700 and 4
4 ÷ 4 = 1
700 ÷ 4 = 175
The 175 goes first so it would be 175 to 1
Hope this helps!
Answer:
175 to 1
Step-by-step explanation:
had the same test too
The parent function f(x) = x2 is reflected across the x-axis, vertically stretched by a factor of 5, and translated 3 units down to create g. Identify g in vertex form.
g(x) = −5(x − 3)2
g(x) = −5x2 − 3
g(x) = −5(x + 3)2
g(x) = −5x2 + 3
Answer:
g(x) = −5x2 − 3
Step-by-step explanation:
did the homework and this was the right answer.
The vertex form of the function g will be;
⇒ g (x) = - 5x² - 3
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
The parent function is,
⇒ f (x) = x²
Now,
After the reflection across the x - axis, we get;
f (x) = - f (x)
Thus, The function is,
g (x) = - x²
And, Vertically stretched by a factor of 5, we get;
g (x) = - 5x²
And, Translated 3 units down, we get;
g (x) = - 5x² - 3
Thus, The vertex form of the function g will be;
⇒ g (x) = - 5x² - 3
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The decimal -2.97 is the solution to which subtraction problem?
Answer:
-6.1-(-3.13) is the equation that equals -2.97
Step-by-step explanation:
Answer:
2.97
Step-by-step explanation:
I had the question
Just trying to see if my answer is correct if not please correct me <3
Answer:
right it right
Miguel bought 7 pounds of apples for $.78 per pound and pay for them with a $10 bill how much did you get back and change
i need help w this question pls :)
Answer:
8x + 6 = 2 * (5x - 2)
x = 5
OP = 46
Step-by-step explanation:
The Triangle Midsegment Theorem
A midsegment connecting two sides of a triangle is parallel to the third side and is half as long.
So, PO = 2 * SQ
8x + 6 = 2 * (5x - 2)
8x + 6 = 10x - 4
6 + 4 = 10x - 8x
10 = 2x
x = 5
OP = 8x + 6
= 8 * 5 + 6
= 40 + 6
= 46
What is the value of 84−−√12?
Enter your answer as a whole number, like this: 42
Answer:the answer is 2 Step-by-step explanation: i took the test
The value of the given expression is 87.46.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as below:-
E = 84-( -√12)
Two negative signs cancel out into a positive sign
E =84 + √12
84 plus the square root of 12. The square root of 12 is 3.5 or 3.46.
E = 84 + 3.46
E = 87.46
Therefore, the value of the given expression is 87.46.
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Find the value of 3x
Answer:
270
Step-by-step explanation:
Since you have the value of x as 90
3x=3*90
3x=270
If the measure of angle 1 = - 9x + 6, and the measure of angle 2 = 2 (5x – 3), find x.
Answer:
x = 12
Step-by-step explanation:
The angle vertically opposite to ∠ 2 is corresponding to ∠ 1 and congruent, so
∠ 2 = ∠ 1 , substitute values
2(5x - 3) = 9x + 6 ← distribute parenthesis on left side
10x - 6 = 9x + 6 ( subtract 9x from both sides )
x - 6 = 6 ( add 6 to both sides )
x = 12
what is 11/40 as a percentage
Answer:
27.5%
Step-by-step explanation:
Answer: 27.5%
Step-by-step explanation: 11/40 = 27.5/100 = 27.5%
1) Use the distributive property to factor the expression.
-24x+64
Answer:
-8(3x-8)
Step-by-step explanation:
Factor -8 out of -24x+64
Pls answer this question
Answer:
1/100
Step-by-step explanation:
Because we are talking about the relationship of 2021 to 2019, we want to put 2021 over 2019:
280,000/28,000,000 = 1/100
6.
Write an equation for each translation of y= |x|.
13 units down
A. y = | x | + 13
B. y – 13 = | x |
C. y = | x | – 13
D. y = | –13x |
Answer:
C. y = | x | – 13
Step-by-step explanation:
y = | x | – 13
Answer:
y = |x| -13
Step-by-step explanation:
recall for any function y = f(x), to translate the function vertically by any value "a", we simply have to add "a" to f(x).
If a is positive, then the graph is translated in the positive y-direction (i.e upwards), if a is negative, then the graph is translated in the negative y-direction (i.e downwards)
In our case , the graph is translated vertically by 13 units (i.e a = 13) and it is to be translated downwards (i.e negative)
hence we add a= -13 to the original function.
y = f(x) + (-13)
y = |x| + (-13)
y = |x| -13
Which expression can be used to check the answer to 56➗(-4)=-4?
-14x-4
-4=(-14)
56%(-14)
-4-5
Answer:
-14 × -4
Step-by-step explanation:
56 ÷ -4 = -4
To check your answer to a problem you will start with the answer you got when you divided times the answer to the problem, will give you the number you started with.
-14 × -4 = 56
-32x^4 ÷ 8x^2
Solve urgent plz..
Answer:
⇛-4x².
Step-by-step explanation:
Given expression;
-32x^4 ÷ 8x^2
-32 = -2*2*2*2*2*x*x*x*x8x^2 = 2*2*2*x*xSo, -32x^4 ÷ 8x^2
⇛-32x^4/8x^2
⇛(-2*2*2*2*2*x*x*x*x)/(2*2*2*x*x)
⇛-2*2*x*x
⇛-4x² Ans.
Read more:
How do you factor 8x^4 -32x^2=0
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If you have any doubt, then you can ask me in the comments.
write an equation of a line that goes with a slope of 1/2, and y-intercept -2.
Answer:
y+2=-2(x+1)
Step-by-step explanation:
hope this helps
Ifx=−5andy=2, evaluate the following expressions:i)(4y)2−(2x)2ii)4y2−2x2i)(4y)2−(2x)2=ii)4y2−2x2=
Answer:
Step-by-step explanation:
-80
y = -3x + 2
A line goes through the point (2,5) and is parallel to the line above, answer the
following:
a, what is the equation of the line that goes through these points in Slope-i
Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept
Answer:
Step-by-step explanation:
a, what is the equation of the line that goes through these points in Slope-intercept Form?
If two lines are parallel, their slopes are equal. Thus the new line has the same slope as does the old one: m = -3. We adapt the slope-intercept form y = mx + b to 5 = (-3)(2) + b and find that b = -11. Then the desired equation is y = -3x - 11. This is in slope-intercept form.
b. What is the x-intercept? Start with the above y = -3x - 11. Set y = 0 and solve the result, 0 = -3x - 11, for x: x = -11/3. Then the x-intercept is (-11/3, 0); this is the point at which the graph crosses the x-axis.
c. What is the y-intercept: Set x = 0 in the above equation. We get y = -11.
The y-intercept is thus (0, -11).
