You have 4 tests so far and you scored 12, 14, 11, 13. You want to keep your overall average at 12. Write and solve
the equation you would use to find what do you need to score on your fifth test to keep this average.
Answer:
You would need to score a 10.
Set-UpThe equation is going to have a total of 5 values where one is unknown. We will call this unknown x and include it as a value in the equation.
Since we are going to have to find an average, we will need a fraction. We also know we will take five total tests. This will equal 12 as this is the desired average.
To start, create the fraction that will add all five values together and divide that by the number of values.
[tex]\displaystyle \frac{12+14+11+13+x}{5}[/tex]
Then, set this equal to 12.
[tex]\displaystyle \frac{12+14+11+13+x}{5}=12[/tex]
SolveTo solve, we will first combine all like terms.
[tex]\displaystyle \frac{50+x}{5}=12[/tex]
Then, divide the fraction.
[tex]\displaystyle 10+\frac{x}{5}=12[/tex]
Now, move the constants to the right side of the equation. To do this, subtract 10 from 12.
[tex]\displaystyle \frac{x}{5}=2[/tex]
Finally, multiply both sides of the equation by 5 to get rid of the denominator.
[tex]x=10[/tex]
Therefore, on test 5, you must score a 10 to maintain an average of 12.
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Two trains going in opposite directions leave at the same time. train b travels 10 mph faster than train a. in 7 hours the trains are 630 miles apart. find the speed of each.
If two trains going in opposite directions leave at the same time and train b travels 10 mph faster than train a and in 7 hours the trains are 630 miles apart, then the speed of the faster and slower train is equal to 50mph and 40mph respectively.
The speed of each train can be determined by using an algebraic
expression.
As one train travels 10 miles per hour faster than the other, consider x to be the speed of the slower train. In this case, the algebraic expression to find the speeds of each train can be given as,
7x + 7(x + 10) = 630
7x + 7x + 70 = 630
14x = 630 - 70
14x = 560
x = 560 ÷ 14
x = 40 mph
Therefore, x + 10 = 40 mph + 10 mph = 50 mph
Hence, the speed of the faster train is 50 mph and the speed of the slower train is 40mph.
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Hunter kicked a soccer ball. the ball went 33/2 yards in 3/8 second. at that rate, how far would the ball go in 1 second?
The ball would go 44 yards in 1 seconds
How to calculate the number of yards ?
Hunter kicked a soccer ball
It went 33/2 yards in 3/8 seconds
The distance it will travel in 1 second can be calculated as follows
33/2 = 3/8
x= 1
Cross multiply both sides
3/8x = 33/2
x= 33/2 ÷ 3/8
x= 33/2 × 8/3
x= 44
Hence the ball will move 44 yards in 1 second
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Isaac is the oldest of three siblings whose ages are consecutive even integers. If the
sum of their ages is 54, find Isaac's age.
Answer:
I believe it’s 20
Step-by-step explanation:
1st: 2x-2
2nd: 2x
3rd: 2x+2----
sum = 54
6x = 54
x = 9
1st: 2x-2 = 16
2nd: 2x = 18
3rd: 2x+2 = 20
Need help , having trouble with this
Answer:
that would 14 jars LoL in of pop tarts
[tex]\frac{3}{4}=\frac{2}{3}x +\frac{3}{5}[/tex]
find x in this equartion
2+(889*567)+8402773+29273
Answer:
8936111
Step-by-step explanation:
2+(889*567)+8402773+29273 =
2 + 504063 + 8402773 + 29273 =
8936111
Count by 5 from 6 to 51
Answer:
9
Step-by-step explanation:
keep adding
1. What inequality does this graph represent?
2.
Explain how you determined the inequality that is represented by the given graph. What was your thought process?
I will mark brainliest .
The inequality that is represented by the given graph is; y > 2x + 1
What is the Inequality of the Graph?From the given graph, we have the following points coordinates;
(x1, y1) = (2, 5)
(x2, y2) = (6, 13)
The formula to calculate the slope is;
m = (y2 - y1)/(x2 - x1)
Thus;
m = (13 - 5)/(6 - 2)
m = 8/4
m = 2
On the graph, we have the following observations:
The line of the graph is a dashed line (this represents > or <)
The upper part is shaded (this represents >)
Thus, the inequality is; y > 2(x - 2) + 5
y > 2x - 4 + 5
y > 2x + 1
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Ilana says that a fraction with a prime number in the numerator is always in simplest form. Is Ilana correct? Explain.
Answer:
She is correct.
In order to turn a fraction into its simplist form, you need to not be able to divide the numerator or the denominator by ANY integer. A prime number is not divisible by anything, so it is its simplist form.
What is 5,780 divided by 240 as a decimal?
A 24.083324
B 24.08324,083
C 24.08324
D 24.083
Answer:
answer is D
how ?
when doing long division it will give 24.0833333333 so to 3dp is 24.083
What does an oceanic-oceanic convergence give rise to?
Responses
folded mountains
folded mountains
continental volcanic mountains
continental volcanic mountains
volcanic island arcs
volcanic island arcs
valleys and ridges
An oceanic -oceanic convergence give rise to volcanic island arcs.
When one oceanic plate subducts another, oceanic-oceanic convergence occurs, leading in the creation of volcanic islands and trenches.Volcanic arcs are volcanoes that originate over a subducting plate and have the shape of an arc. Volcanic activity along a subduction zone, which happens when an oceanic plate falls beneath an oceanic or continental plate, leads to volcanic island arcs.What kind of convergence results in the arcs of volcanic islands?
A volcanic island arc is created when two oceanic plates collide, with the older and heavier of the two subducting beneath the other to start volcanic activity. This process is similar to what happens in an oceanic-continental convergent plate boundary.Learn more about volcanic island arc
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DG contains D, E, F, and G, in thy order. If DF = 12, EG = 15, and EF = 4, what is DG
Answer:
23
Step-by-step explanation:
Given line segment DEFG and lengths DF=12, EG=15, EF=4, you want the length DG.
Segment additionThe segment addition theorem tells you the whole is the sum of the parts.
DF = DE +EF
12 = DE + 4
8 = DE . . . . . . subtract 4
And ...
DG = DE +EG
DG = 8 +15 = 23
The length DG is 23 units.
| 7x+35 |=7 has two solutions
What is the distance in the solutions?
[tex]|7x+35|=7 \\7x_{1} + 35 = 7 \\ 7x_{1} = - 28 \\ x_{1} = - 4[/tex]
[tex]|7x+35|=7 \\7x_{2} + 35 = - 7 \\ 7x_{2} = - 42\\ x_{2} = - 6[/tex]
[tex]distance = | x_{1}-x_{2}| = | - 4-( - 6)| \\ distance = | 2| = 2[/tex]
answer for x
−8x=−x−28
Answer:
x = 4
Step-by-step explanation:
-8x = -x - 28
Move the -x on the right side to the left
-8x + x = -28
-7x = -28
Cross out the negatives
7x = 28
Divide by 7
x = 4
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
[tex]-8x = -x - 28 \text{ / Add 8x}\\-8x + 8x = -x - 28 + 8x\\\to 0 = 7x - 28 \text{ / Add 28}\\0 + 28 = 7x - 28 + 28\\\to 28 = 7x \text{ / Divide by 7}\\\frac{28}7 = \frac{7x}7\\4 = x[/tex]
Alicia ran 6 miles in 21 minutes. At this rate, how long will it take her to run 15
miles? Do not round
Answer:
52.5 minutes
Step-by-step explanation:
[tex]21/6=3.5\\3.5*15=52.5[/tex]
Answer: 52 minutes and 30 seconds
Step-by-step explanation:
You are going to do cross multiplication for this. So 6 miles over 21 minutes is equal to 15 miles over x minutes. When we cross multiply this brings us to 315 over 6. Then we divide 315 by 6 getting us 52.5 minutes and .5 of a minute is 30
Gwendolyn draws a hotdog on graph paper using the scale shown below. The hotdog has a length of 999 units in the drawing. What is the length in c, m, , of the actual hotdog?
The length of the actual hotdog is 15 cm
How to determine the length of the actual hotdog?The graph that completes the question is added as an attachment
The length of the hotdog in the figure is given as
Length = 9 units
The scale is given as
Scale: 6 units = 10 cm
So, we have
6 * 9 units = 10 * 9 cm
Divide both sides by 6
So, we have
9 units = 15 cm
Substitute 9 units = 15 cm in Length = 9 units
Length = 15 cm
Hence, the length of the actual hotdog is 15 cm
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6x+1=-6(1-x) kinda need as soon as possible
Answer:
No solution
Step-by-step explanation:
The sides of the equation are unbalanced, therefore, the equation has no solution. Here's an example(The problem is not designed to mathematically make sense).
[tex]x + 1 = -y \times z\\(w)x+1-1=-y+(z)x-1\\0 = -b[/tex]
Since the first side which was equal to 0 is unbalanced to the other side, the rule is that [tex]a = \mathrm{false\:if}\:a < 0[/tex], and since this rule applies in such a scenario, the equation ends up having no solutions.
Hope this helps!
At an amusement park there are 2 rides. the lightning bolt starts at a elevation of 15ft. from the platform and speeds the passengers to an elevation of 327 ft. The highest loop on the twirl mater is 295 ft and the lowest tunnel goes 21 ft underground. which ride ha the greatest elevation and how much is the change in elevation?
a) Lightning bolt : 312 ft
b) Lightning bolt : 327
C) Twirl Master : 274
d) Twirl Master : 316
The ride that has the greatest elevation based on the information is B. Lightning bolt : 327 feet.
How to illustrate the information?The term elevation is typically used to describe locations on the surface of the Earth, whereas altitude or geopotential height is used to describe locations above the surface, such as those of flying airplanes or orbiting satellites, and depth is used to describe locations below the surface.
Elevations show how your house will appear from various perspectives. Regarding these particular angles, there are many elevation kinds. Some varieties include split elevations, rear elevations, side elevations, and front elevations.
From the information, it was stated that the lightning bolt starts at an elevation of 15ft from the platform and speeds the passengers to an elevation of 327 ft.
It should be noted that the information is to simply find the elevation that is the greatest.
Based on the figures given, the appropriate elevation will be 327 feet.
Therefore, the correct option is B.
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You buy 4 pounds for 35$. How much does one pound cost?
Choose the correct term to complete each sentence.
When two functions are combined so the range of one becomes the domain of the other, the resulting function is called a (square root function/composite function).
When two functions are combined so the range of one becomes the domain of the other, the resulting function is called a Composite Function .
Composite Function : If f ( x ) is a function with domain x and f ( x ) = y is its range , then g [ f ( x ) ] is a composite function , where f ( x ) is the domain and g [ f ( x ) ] = z is the range of function g [ f ( x ) ] .
Hence , when two functions are combined so the range of one becomes the domain of the other, the resulting function is called a composite function .
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what are the zeros of the function below f(x)= x^2-x-12/x^2+x-12
The function is equal to zero when x = -3 or +4
What are the zeros of a function?We know that a function is a mathematical rule. It is an instruction to perform an operation on a given set of values. In this case, we have the function given as; f(x)= x^2-x-12/x^2+x-12. Recall that the function is equal to zero when the numerator is equal to zero.
Now we have to solve the quadratic equation;
x^2-x-12 =0
x^2 - 4x + 3x - 12 = 0
x(x - 4) + 3(x - 4) = 0
(x - 3) (x - 4) =0
x = -3 or +4
We can now see that the function is equal to zero when x = -3 or +4
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Find the 72nd
term of the following arithmetic sequence.
17, 20, 23, 26,
Answer:
230
The 72nd term in the following arithmetic sequence is 230.
Step-by-step explanation:
Formula: an = a1 +(n−1)d
a1=17
n=72
d=3
a72=17+(72-1)3
Simplify.
a72=17+(71)3
a72=17+213
a72=230
The 72nd term in the following arithmetic sequence is 230.
Hope this helps!
Please mark as brainliest if correct!
Answer:
Step-by-step explanation:
HELPPP ASAPPP!!!!In 5-7 complete sentences, write a real world situation that can be modeled by the equation. 19.25x =17.25x +26.77
A situation in the real world that the equation can simulate. A corporation charges 19.25 per hour, whereas another charges 17.25 per hour plus a one-time fee of 26.77. This is represented by 19.25x =17.25x +26.77. How many hours do they cost the same?
What is a equation?An equation is used to show the relationship between the variables that are illustrated.
In this instance, a situation from the actual world that the equation can simulate.
A corporation charges 19.25 per hour, whereas another charges 17.25 per hour plus a one-time fee of 26.77.
This is represented by 19.25x =17.25x +26.77. How many hours do they cost the same?
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1
Write an expression that is equivalent to æ+1+
3
70
Regroup the like terms.
=x+1+
4
314
X
2-
2
3
+
1 1
x=x+1+
2 4
+ (-1/3) + (-1/²)
1
- (++)+(+-)
23
x+ ?
2
x.
?
3
E
X
Answer:
on how to do this
I'm no sure
Answer:
I'm no sure
Step-by-step explanation:
A rectangular garden has an area of 3m - 7m - 6.
Use the dimensions from Part A to determine an expression that gives the perimeter of the garden.
Reminder: P = 2L + 2W.
The perimeter of the whole figure includes the sum of the side lengths and the value is -2 - 4m units
What are areas?The area of a shape is the amount of space on the shape.
For most regular shapes, the area is the product of their width and the length
How to determine the expression for the perimeter of the figure?The area of this rectangle is given as
Area = 3m - 7m - 6
Evaluate the like terms
So, we have
Area = -4m - 6
The common factor of 4 and 6 is 2
So, we have the following equation
Area = 2(-2m - 3)
The area of the rectangle is
Area = Length * Width
So, we have
Length, L = 2
Width, W = -2m - 3
The perimeter of the rectangle is calculated as
P = 2 x (L + W)
So, we have
P = 2 x (2 - 2m - 3)
Evaluate the like terms in the above expression
So, we have
P = 2 x (-1 - 2m)
Open the bracket in the above expression
So, we have
P = -2 - 4m
Hence, the perimeter of the whole figure is -2 - 4m units
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Solve the equation 6x = 72 for x.
−78
−12
12
66
Answer:
12
Step-by-step explanation:
Divide both sides by 6 to isolate x
Answer:12
Step-by-step explanation:
divide 6 from 72
Couldn’t fit all answers choices please help
The perimeter of a square is 20 centimeters. Find the length of a diagonal. Sketch the figure. Round decimals to the nearest tenth (1 decimal place).
length of a diagonal =
The length of the diagonal is 7.05cm of a square.
The perimeter of the square is 20 cm.
The formula of the perimeter of the square is 4a, where a is the length of the side of the square.
So, 4a = 20
a = 5
Now we have to find the diagonal of the square.
In a square there is two diagonal, each of equal length
Therefore,
diagonal = [tex]\sqrt{2}[/tex]a
= 1.41 × 5
7.05cm
Therefore the diagonal of the square is 7.05cm.
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determine what type of solutions the function f(x)=x^2+9 will have
Type of solutions the function f(x)=[tex]x^2[/tex]+9 will have Domain is (-[tex]\infty\\[/tex],[tex]\infty[/tex]),{x|x∈R}. Range is [-9,[tex]\infty[/tex]),{y|y≥-9}.
Given function [tex]f(x)=x^{2} +9[/tex]
To determine the function's domain and range.
Domain and range is nothing but the sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation. For instance, if the relation is R ={(1, 2), ( 2, 2), ( 3,3 ), ( 4, 3)}
Domain is the set of all x-coordinates with values of {1, 2, 3, 4}.
The set of all y-coordinates in the range is equal to {2, 3}.
Domain and range for the function is
Domain is (-[tex]\infty\\[/tex],[tex]\infty[/tex]),{x|x∈R}.
range is [-9,[tex]\infty[/tex]),{y|y≥-9}
Therefore, the function has the domain and range as
Domain is (-[tex]\infty\\[/tex],[tex]\infty[/tex]),{x|x∈R}.
range is [-9,[tex]\infty[/tex]),{y|y≥-9}.
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