Answer:
1 piece of fry
Step-by-step explanation:
Given:
You want to buy a milkshake and some fries. You look up prices for two different places.
Restaurant 1 sells milkshakes for $4 and fries for $1. Restaurant 2 sells milkshakes for $3 and fries for $2.
Question asked:
At what amount of fries bought will the restaurants be the same price?
Solution;
Let at [tex]x[/tex] amount of fries bought the restaurants will be the same price.
As you want to buy a milkshake and [tex]x[/tex] fries, the equation will be:-
For Restaurant 1
[tex]4+1\times x[/tex]
For Restaurant 2
[tex]3+2\times x[/tex]
Now, at [tex]x[/tex] amount of fries bought the restaurants will be the same price.
[tex]4+x=3+2x\\ \\ By\ subtracting\ both\ sides\ by\ 3\\ \\ 4-3+x=3-3+2x\\ \\ 4-3+x=2x\\ \\ 1+x=2x\\ \\ By\ subtracting\ both\ sides\ by\ x\\ \\ 1+x-x=2x-x\\ \\ 1=x[/tex]
Therefore, at 1 piece of fry bought the restaurants will be the same price.
11) Solve the system by the elimination method. Check the solution.
x + 5y = 25
3x + 4y = 20
Step-by-step explanation:
I hope this is what you need
PLEASE MAKE ME BRAINLIEST
Mark has three 4 1/2 oz cans and five 8 1/4 oz cans. How many ounces of tomatoes does Mark need?
Answer:
54.74 ounces of tomatoes mark need.
Step-by-step explanation:
Given : Mark has three [tex]4\frac{1}{2}[/tex] oz cans and five [tex]8\frac{1}{4}[/tex] oz cans.
To find : How many ounces of tomatoes does Mark need?
Solution :
Mark has three [tex]4\frac{1}{2}[/tex] oz cans.
i.e. [tex]3\times 4\frac{1}{2}=3\times \frac{9}{2}=\frac{27}{2}[/tex]
Mark has five [tex]8\frac{1}{4}[/tex] oz cans.
i.e. [tex]5\times 8\frac{1}{4}=5\times \frac{33}{4}=\frac{165}{4}[/tex]
Total ounces of tomatoes does Mark need is
[tex]T=\frac{27}{2}+\frac{165}{4}[/tex]
[tex]T=\frac{54+165}{4}[/tex]
[tex]T=\frac{219}{4}[/tex]
[tex]T=54.75[/tex]
Therefore, 54.74 ounces of tomatoes mark need.
What expression represents the volume of the prism, in cubic units?
One-halfx3 + x2
One-halfx3 + Three-halves x2
x3 + x2
x3 + 3x2
Answer:
V = [tex]1/2 x^{3}[/tex] + [tex]x^{2}[/tex]
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
The oblique prism below has an isosceles right triangle base. An oblique right triangular prism is shown. The triangular bases have 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x + 3). The vertical height of the prism is (x + 2). What expression represents the volume of the prism, in cubic units?
One-halfx3 + x2
One-halfx3 + Three-halves x2
x3 + x2
x3 + 3x2
My answer:
Given that:
The oblique prism below has an isosceles right triangle base and the length of the base is x
=> the area of the base: 1/2 *x*x = 1/2[tex]x^{2}[/tex]
The vertical height of the prism is (x + 2)
=> The volume of the oblique prism is:
V = the base area * the vertical height
<=> V = 1/2[tex]x^{2}[/tex] (x + 2)
<=> V = [tex]1/2 x^{3}[/tex] + [tex]x^{2}[/tex]
We choose A
Answer:
A
Step-by-step explanation:
Find the solution to the following system using substitution or
elimination:
y = 2x – 1
y = 5x – 7
Answer:
x = 2
y = 3
Step-by-step explanation:
y = 2x – 1
y - 2x = -1
y = 5x – 7
y - 5x = -7
y - 2x = -1
y - 5x = -7
_________--
3x = 6
x = 6/3
x = 2
y = 2x – 1
y = 2(2) - 1
y = 4 - 1
y = 3
[tex]x=2\\y=3[/tex]
Substitution method:The substitution method is one approach to take into consideration. When one equation with one variable is solved, this expression is then used in the other equation. The substitution method entails solving for a single variable before inserting the solution into the other equation.Elimination method:To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are inequality.Solution - (Through substitution method)Given -
[tex]y=2x-1\\y=5x-7[/tex]
So, substitute [tex]y=2x-1[/tex] in [tex]y=5x-7[/tex].
[tex]y=5x-7\\2x-1=5x-7\\5x-2x-7+1=0\\3x-6=0\\3x=6\\x=\frac{6}{3} \\x=2[/tex]
Now, substitute [tex]x=2[/tex] in [tex]y=2x-1[/tex].
[tex]y=2x-1\\y=2(2)-1\\y=4-1\\y=3[/tex]
Therefore, [tex]x=2[/tex] and [tex]y=3[/tex].
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Which is larger, 3.2 x 10⁴ or 3.2 x 10⁵?
A. 3.2 x 104
B. 3.2 x 105
Answer:
3.2 x 10^5
Step-by-step explanation:
Scientific Notation
3.2 x 10^4 = 32000
3.2 x 10^5 = 320000
Final answer:
The number 3.2 x 10⁵ is larger than 3.2 x 10⁴ because it represents 320,000, compared to 32,000 which is represented by 3.2 x 10⁴. The exponent indicates the number of zeroes to follow the digit.
Explanation:
To determine which number is larger between 3.2 x 10⁴ and 3.2 x 10⁵, we need to understand the notation being used. In scientific notation, the number 10 raised to an exponent indicates how many places to move the decimal point. The larger the exponent, the larger the value.
For 3.2 x 10⁴, it means we have a 3.2 followed by 4 zeros, which is equal to 32,000. In contrast, 3.2 x 10⁵ means we have a 3.2 followed by 5 zeros, which is equal to 320,000. Clearly, 320,000 is larger than 32,000.
Thus, 3.2 x 10⁵ is larger than 3.2 x 10⁴.
Which expression is the as 400.902
Answer:
4*100+.9*0.1+.002*.001
Step-by-step explanation:
The student's question is unclear and lacks clarity. It is recommended that they provide more information or context so that an accurate explanation can be given.
Explanation:The question seems to be unclear. As a tutor, I would ask the student to clarify their question more specifically. The number '400.902' is indeed an expression, however, it's not clear what it's supposed to be equivalent to. Understanding the context can help provide a more accurate answer, as '400.902' could represent a multitude of things, such as a decimal, a fraction, a percentage or even part of a scientific notation. Without this information, I can't provide a reliable explanation or comparison.
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7. Given f(x) = x 3 (x +
5)2( 2 x-7)
a) What is the degree of this polynomial?
b) List the real zero's of f. Give the multiplicity of each zero.
c) Does the graph off touch or cross the x-axis at each zero?
d) Determine the 'end behavior' of this function. Find the monomial power function that the graph off
resembles for very large positive or negative values of x.
Answer:
a) 6.
b) 0 (multiplicity 3), -5 (multiplicity 2) and 7/2.
c) and (d) - See below.
Step-by-step explanation:
(a) f(x) = x^3(x + 5)^2 (2x - 7)
The highest degree of x (= x^3*x^2*x) = 3+2+1 = 6.
(b) The zeros are 0 ( from the x^3 = 0) multiplicity 3, from x + 5 = 0 we have -5 (multiplicity 2) and from 2x - 7 =0, 7/2.
(C) The graph just touches the x axis at (-5, 0) and pass through at (0,0) and (7/2, 0).
(d) The graph rises to the left for very large negative values of x and falls to the right at very large values of x.
At the extreme ends this graph resembles the graph of -x^3.
solve the inequality
|0.2x+6| <0.15
Answer:
- 30.75 < x < - 29.25
Step-by-step explanation:
Inequalities of the type | x | < a , always have solutions of the form
- a < x < a
Given
| 0.2x + 6 | < 0.15, then
- 0.15 < 0.2x + 6 < 0.15 ( subtract 6 from all 3 intervals )
- 6.15 < 0.2x < - 5.85 ( divide all intervals by 0.2 )
- 30.75 < x < - 29.25
To solve the inequality |0.2x+6| < 0.15, we split it into two separate inequalities and find that the solution for x is -30.75 < x < -29.25.
Explanation:To solve the inequality |0.2x+6| < 0.15, we first consider the absolute value function. This means we are looking for values of x that make 0.2x + 6 less than 0.15 and greater than -0.15. We split this into two separate inequalities:
0.2x + 6 < 0.150.2x + 6 > -0.15Solving the first inequality for x:
0.2x < 0.15 - 6
0.2x < -5.85
x < -5.85 / 0.2
x < -29.25
Solving the second inequality for x:
0.2x > -0.15 - 6
0.2x > -6.15
x > -6.15 / 0.2
x > -30.75
Therefore, combining the two inequalities, we find the solution for x is:
-30.75 < x < -29.25.
When do you use the 1+ and 1-? in Exponential Functions
A.When there is a percent
B. All of the time
C. Never
Answer:
B. All of the time
If a line is 10 feet long but needs to be enlarged 150%, how long will the new line be?
Answer:
23
Step-by-step explanation:
find 10 percent and times the rest
at a currency exchange,11 U.S. dollars can be exchanged for 10Euros. How many Euros will you receive for 1 U.S. dollars?
Answer:
.92 euros
Step-by-step explanation:
Answer:
$0.90
Step-by-step explanation:
10:11 = 1:1.1
?:1
Euros = U.S Dollars - 0.10
0.90:1
Evaluate the expression when c=3 and x=-5.
c-7x
Steps to solve:
c - 7x; c = 3, x = -5
~Substitute
3 - 7(-5)
~Multiply
3 - (-35)
~Simplify
3 + 35
~Add
38
Best of Luck!
Look at the attached picture⤴
Hope it will help u....
5 seconds is what fraction of a minute?
Answer:
5 seconds is 1/12 of a minute
Step-by-step explanation:
60 seconds per minute so 5/60
5/60=1/12
5 seconds is 1/12 fraction of a minute.
Fraction is used to show the quantity of a part that makes up the whole number.
One minute is = 60seconds
Therefore 5 seconds= 5/60
= 1/12
This means that 1/12 of one minute is = 5 seconds.
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Asking easy questions so people can get points (answer must be right)
756 divided by 18 (show work)
Part A: If a circle has a diameter of 18 inches, what is the radius? Identify which multiple choice option is the correct answer:
a. 38 inches
b. 27 inches
c. 9 inches
d. 4.5 inches
Part B: Name two real-life examples of a circle.
Part C: State the process of drawing a circle with a radius of 6 inches using a compass on a piece of paper? Write a detailed explanation.
Answer:
c. 9 inches
Plates and clocks are examples of circles.
Set the compass so that it is 6 inches wide. Place the needle on the paper and twist the top of the compass so that the circle is evenly drawn.
-5(-4x-2)=-2(5-5x) this is an equation for 8th grade math
Step-by-step explanation:
20x + 10 = 10 - 10x
Now bringing like terms on one side
20x + 10x = 10 - 10
30x = 0
x = - 30
Answer:
Step-by-step explanation:
-5(-4x-2)=-2(5-5x)
20x+10=-10+10x
20x-10x=-10-10
10x=-20
x=-2
Which equations have the same value of x as 5/6x+2/3=-9? Select three options.
Answer:
A) 5x + 4 = -54
B) 6(5/6x + 2/3) = -9(6)
C) 5x = -58
Step-by-step explanation:
Answer:
a b c
Step-by-step explanation:
Where did Cailou come from?
Answer:
its canadian
Step-by-step explanation:
0.4(5x – 12) + 0.5x = 15.2
Look at the attached picture ⤴
Hope it will help u..
0.4(5x-12)+0.5x=15.2
We move all terms to the left:
0.4(5x-12)+0.5x-(15.2)=0
We add all the numbers together, and all the variables
0.5x+0.4(5x-12)-15.2=0
We multiply parentheses
0.5x+2x-4.8-15.2=0
We add all the numbers together, and all the variables
2.5x-20=0
We move all terms containing x to the left, all other terms to the right
2.5x=20
x=20/2.5
x=8
A scientist studies a pod of humpback whales to determine the
migration of humpback whales. What is the sample?
A. all humpback whales
B. dolphins
C. a pod of him back whales
D. all whales
Answer:
C. A pod of humpback whales
The scientists is trying to draw a conclusion about all humpback whales by looking at the behaviors of a pod of humpback whales.
do all quadratic equations have an axis of symmetry?
Answer:
Yes,Axis of Symmetry of a Parabola.The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a.
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
The mean of 4 data values is calculated. One of the data values is 3 above
the mean. Another value is 4 above the mean. A third value is 1 above the
mean. What is true about the fourth data value? olla
A It is 8 below the mean.
B It is 6 below the mean.
C It is equal to the mean.
D It is 2 above the mean.
Answer:
It is 2 above the mean
9514 1404 393
Answer:
A. It is 8 below the mean
Step-by-step explanation:
The sum of differences from the mean is always zero. If x is the difference from the mean that the fourth data value has, then we must have ...
3 + 4 + 1 + x = 0
x = -8 . . . . . . . . . subtract 8
The fourth data value must be 8 below the mean.
_____
Additional comment
I find this property of the mean to be very useful in solving any number of problems related to differences from an actual or a desired mean.
Side A B is parallel to Side D E in the map below.
Which proportion solves for the distance between D and E?
StartFraction 9 Over 6 EndFraction = StartFraction x Over 15 EndFraction
StartFraction 6 Over x EndFraction = StartFraction 15 Over 9 EndFraction
StartFraction 9 Over 6 EndFraction = StartFraction 15 Over x EndFraction
StartFraction 6 Over 15 EndFraction = StartFraction 9 Over x EndFraction
Given:
Given that the side AB is parallel to side DE.
The length of AB is 15 feet.
The length of BC is 9 feet.
The length of CD is 6 feet.
The length of DE is x feet.
We need to determine the proportion that solves the distance between D and E.
Proportion:
The proportion that solves the distance between D and E can be determined by the similar triangle property.
Thus, we have;
[tex]\frac{BC}{CD}=\frac{AB}{DE}[/tex]
Substituting the values, we have;
[tex]\frac{9}{6}=\frac{15}{x}[/tex]
Thus, the proportion that solves the distance between D and E is [tex]\frac{9}{6}=\frac{15}{x}[/tex]
Answer:the answer is c
Step-by-step explanation:
When calculating total gross pay, you should ___
A) use only your hourly wage
B)use your hourly wage and tips
C) use only your tips
D) use your hourly wage and tips minus any deductions
Final answer:
To calculate total gross pay, sum the hourly wage and tips earned. This sum represents the entire earnings before any deductions such as tax or social security are taken into account. Thus, option b is correct.
Explanation:
When calculating total gross pay, you should use your hourly wage and tips. The gross pay represents the total amount earned before any deductions, such as taxes or social security, are subtracted. To find the total gross pay, simply add the total amount of earned hourly wage to the amount received from tips.
For instance, if an employee receives $15 per hour and works for 8 hours and also earns $40 in tips, their gross pay for that day would be:
Hourly wage: $15/hour x 8 hours = $120
Tips: $40
So, the total gross pay would be $120 + $40 = $160 for that day.
So, option b is correct.
Determine the slope
Y=7/1x+10
Step-by-step explanation:
What is the circumference of the base?
A)37.23
B)40.80
C)43.96
D)52.34
Answer:
43.96 or c
Step-by-step explanation: formula is d times pi and that gives you c hope this helps god bless
which algebraic representation shows the effect that a reflection over the x-axis will have on the coordinates of a figure?
A. ( x,-y )
B. (-x, y )
C. (-x, -y)
D. (-y, x )
Answer:
A, (x, -y)
Step-by-step explanation:
When something is flipped over the x axis, the y-coordinates become the opposite of what they were. It makes sense if you think about it- if it flips over the line on the x axis, the x-coordinates will stay the same, and the y coordinates will change.
I NEED HELP, I NEED TO SHOW WORK
Answer: 9 over 12 is = 15 over x
Step-by-step explanation:
solve for x.
3x − 2(x + 3) = 5 − 2x
Answer:
3 2/3
Step-by-step explanation:
the diameter of a circle is 12 in. Find the circumference to the nearest tenth
please helppp
Answer:
37.68in
Step-by-step explanation:
circumference = 2πr
r= radius = diameter/2 = 12/2 =6 in
C= 2πr = 2 x 3.14 x 6= 37.68in