Answer:
Ben needs to get a 99% on his second test
Step-by-step explanation:
The average is the sum of both test scores, divided by the total number of test scores (2).
Let x by the grade Ben must receive on his second test.
(89 + x)/2 = 94
Multiply by 2 on both sides
89 + x = 188
Subtract 89 on both sides
x = 99
Check work:
(89 + 99)/2 = 188/2 = 99
Answer: 99
Concept:
Here, we need to know the idea of the average value.
In mathematics, average refers to the sum of a group of values divided by n, where n is the number of values in the group.
Average = Sum of value / number of values
Solve:
Given information
Scoring on first test = 89
Scoring on second test = x
Number of tests = 2
Average = 94
Given expression
Average = Sum of value / number of values
Substitute values into the expression
94 = (89 + x) / 2
Multiply 2 on both sides
94 × 2 = (89 + x) / 2 × 2
188 = 89 + x
Subtract 89 on both sides
188 - 89 = 89 + x - 89
[tex]\boxed{x=99}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
How many points are needed to define a plane?
Answer:
3
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
5
1. The local ice cream shop has had a great month in sales. Based on the Information below, calculate the operating ratio.
cost of goods sold = $2,500.00
net sales = $18,200.00
operating expenses = $4,350.00
O 62 percent
O 38 percent
O 71 percent
O 32 percent
The operating ratio of the local ice cream shop is 38 percent
The cost of goods sold is $2,500
The net sales is $18,200
The operating expenses is $4,350
The operating ratio can be calculated as follows
= cost of goods sold+ operating expenses/total revenue
= 2500+4,350/18,200
= 6,850/18,200
= 0.376×100
= 37.6
= 38%
Hence the operating ratio is 38%
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WORKED EXAMPLES
Try Vertical Angle Problems
ZC and Dare vertical angles.
m_C=° and mZD=(-3x +80)°
What is mZC
Enter your answer in the box.
Answer:
M<C = 20°
Step-by-step explanation:
Because they’re vertical angles, that means they’re equal to each other so:
m<C = m<D
x = -3x + 80
x + 3x = 80
4x = 80
x = 20
Since m<C equals x, that means m<C is 20°
What is the length of segment AB
A) 3
B) [tex]\sqrt{20}[/tex]
C) [tex]\sqrt{41}[/tex]
D) 9
Answer: [tex]\large \boldsymbol {C) \ AB=\sqrt{41} }[/tex]
Step-by-step explanation:
The formula for the distance between points:[tex]\bf AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] Coordinates of point A (0;5 ); coordinates of point B(4;0)[tex]\bf AB= \sqrt{(0-4)^2+(5-0)^2} =\sqrt{16+25} =\sqrt{41}[/tex]
Answer ASAP, Will give brainliest!!
Answer:
First. 115°
Second. 65°
Third. 65°
Fourth. 7
Fifth. 425.25
First
angle DAB = angle ADC (since this is an isosceles trapezoid)
Second
In a trapezoid adjacent angle are supplmentary (that is their sum is 180°)
180-115 is 65°
Third
(Same reason as second)
Fourth
The side 3x+4 is same as the opposite side
So 3x + 4 = 25
on solving you get x = 7 in
Fifth
[tex]area \: = \frac{1}{2} \times length \: of \: the \: perpendicular \: (b1 + b2)[/tex]
area = 1/2 × 13.5 (20+43)
area = 1/2 × 13.5 × 63
Thus area is 425.25
Answer:
Step-by-step explanation:
1)As ABCD is isosceles trapezium,
∠ADC= ∠DAB
∠ADC = 115°
2) AD //BC
∠ADC + ∠DCB = 180° {co interior angles}
115 + ∠DCB = 180
∠DCB = 180 - 115
∠DCB = 65°
3) As ABCD is isosceles trapezium,
∠CBA = ∠DCB
∠CBA = 65°
4) As ABCD is isosceles trapezium, non parallel sides are congruent.
AB = DC
3x + 4 = 25 in
3x = 25 - 4
3x = 21
x = 21/3
x = 7 in
5) height = 13.5 in
a= 43 in
b= 20 in
Area of trapezium = [tex]\frac{(a+b)*h}{2}\\[/tex]
[tex]= \frac{(43 +20)*13.5}{2}\\\\=\frac{63*13.5}{2}\\\\\\= 425.25 in^{2}[/tex]
In a competition, four of the participants have completed their performances. Their scores are 9.61, 9.66, 9.64, and 9.60. The highest score wins. Which score will enable the last participant to win the competition?
9.67
9.65
9.62
9.06
For some reason, the scores your teacher gave you and the answer choices don't match up. I'm not sure why this is. Perhaps some kind of typo. Please double check and get back to me.
A room is twice as long as it is broad and its height is 8 m. if the cost of painting its walls at Rs. 20 per m² is Rs 9600 , find the cost of carpeting its floor at Rs. 400 per m²
Answer:
Step-by-step explanation:
no body is answering
X+a=3/4
How do I solve for x first then a
Answer:
[tex]x + a = \frac{3}{4} \\ x = \frac{3}{4} - a[/tex]
for a:
[tex]a = \frac{3}{4} - x[/tex]
[tex]\\ \sf \longmapsto x+a=\dfrac{3}{4}[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{3}{4}-a[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{3-4a}{4}[/tex]
And
[tex]\\ \sf \longmapsto a=\dfrac{3}{4}-x[/tex]
[tex]\\ \sf \longmapsto a=\dfrac{3-4x}{4}[/tex]
Given only a compass and straightedge, Greeks were able to construct only
regular polygons and circles, thus leaving many constructions impossible to
complete.
A. True
B. False
A regular heptagon (7-sided figure) cannot be constructed with a compass and straightedge.
HELLLOPPPPPPP HELPPP ASAPPP PLEASE !!
Answer:
10 = c
Step-by-step explanation:
Distribute -4 to the parentheses:
8 = 8c - 4(c + 8)
8 = 8c - 4c - 32
Add like terms:
8 = 4c - 32
Add 32 to both sides:
40 = 4c
10 = c
Answer:
Question:
8=8c-4(c+8)
Step-by-step explanation:
8=8c-4c-32
8=4c-32
8+32=4c
40=4c
Or
4c=40
c=10
Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distance (in meters). Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters. A. 15 m B. 130−−−√ m C. 178−−−√ m D. 13 m
Answer:
C. 178−−−√ m
Step-by-step explanation:
Given the following :
v = final velocity (in m/s)
u = initial velocity (in m/s)
a = acceleration (in m/s²)
s = distance (in meters).
Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters
Using the 3rd equation of motion :
v^2 = u^2 + 2as
v^2 = 8^2 + 2(3)(19)
v^2 = 64 + 114
v^2 = 178
Take the square root of both sides :
√v^2 = √178
v = √178
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION WHILE ANSWERING THE QUESTION!!
A data set with less variation will have a smaller ____________________.
A. minimum
B. median
C. mean
D. interquartile range
Answer:
c. mean
Step-by-step explanation:
the data set that has less variation will have smaller distribution over a large area or variation measures.
Answer:
D. Interquile Range
Step-by-step explanation:
The datasets that have less variation are those that have smaller dispersion or variation measures.
Some of these measures of variance are variance, standard deviation, mean absolute deviation, range and interquartile range. Among the options shown, the only one that is used as a measure of variation is the interquartile range. The interquartile range is the difference between the third quartile and the first quartile of a data distribution. In other words, the interquartile range measures the range between the central 50% of the data.
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$350 and $400.
Answer:
0.34134
Step-by-step explanation:
in other to solve for this question we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = standard deviation
the question tells us to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
from tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
then the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
that explains that the probability that a worker selected at random makes between $350 and $400 = 0.34134
PLEASE HELP WILL MARK BRAINLIEST
Answer:
C
Step-by-step explanation:
Its the only answer where the y intercept is 16.
We know its 16 because the line crosses the y axis at 16
can any one help me in this..???? please
Answer:
(i) a1/a2 =/ b1/b2
(ii) a1/a2=b1/b2 =/ c1/c2
(iii) a1/a2=b1/b2=c1/c2
Step-by-step explanation:
=/ means not equal to.
graphical repesentation of
1.intersecting lines
2.coincident lines
3.parallel lines
a1/a2 and next two slots is basically dividing the coefficents if each equation.
for eg. 1. a1/a2= 2/4=1/2 and so on.
parallel lines are inconsistent whereas intersecting and coincident lines are consistent.
What is the sign of y + x?
y
0
Choose 1 answer:
Positive
B
Negative
Zero
Answer:
C
Step-by-step explanation:
As y is zero, y/x will be zero
What is the multiplicity of each of the roots of the graph of
f(x) = 2x4 + 12x} + 16x2 – 12x – 18?
A.-3, multiplicity 2; -1, multiplicity 1; 1, multiplicity 1
B.-3, multiplicity 2; 1, multiplicity 2
C.-3, multiplicity 1; -1, multiplicity 1; 1, multiplicity 1
D.-3, multiplicity 2; -1, multiplicity 3; 1, multiplicity 1
Answer:
The correct option is;
C. -3, multiplicity 2; -1, multiplicity 1; 1, multiplicity 1
Please find attached the required function graph
Step-by-step explanation:
To solve the equation f(x) = 2·x⁴ + 12·x³ + 16·x² -12·x - 18, by graphing the function, we have;
x [tex]{}[/tex] F(x)
-4[tex]{}[/tex] 30
-3[tex]{}[/tex] 0
-2[tex]{}[/tex] 6
-1[tex]{}[/tex] 0
0 [tex]{}[/tex] -18
1[tex]{}[/tex] 0
2[tex]{}[/tex] 150
The shape of a graph with multiplicity of 2
Given that the graph bounces of the horizontal axis at the y-intercept at point x = -3, the factor (x - 3) must be a quadratic of the form (x - 3)², thereby having a multiplicity of 2 in the solution which are;
x = 1, -1, and, giving
(x - 1)·(x + 1)·(x - 3)² = 0
Therefore, the correct option is -3, multiplicity 2; -1, multiplicity 1; 1 multiplicity 1.
Answer:
C
Step-by-step explanation:
If two of the ordered pairs was removed which two data points will cause the correlation to decrease the most? Select Two points
1) Data point A
2) Data point B
3) Data point C
4) Data point D
Answer:
1. Data point A
4. Data point D
Step-by-step explanation:
In a scatter plot, the closer the clustered data points are close to the best line of fit, the greater the correlation that would exist between the two variables.
If we are to draw a best line of fit in the scatter plot that is shown above, the closest data points amongst data points A, B, C, D, and E, that would be close to the best line of fit are data points A and D.
Therefore, removing data point A and point D would cause the correlation to decrease the most.
Helppp plssss help meeee
Answer:
C. $1,260
Step-by-step explanation:
80 × 14.5 = 1,160
2,500 × 0.04 = 100
Answer:
C. $1260
Step-by-step explanation:
Please help!! Graph a line with a slope of 1/4 that contains the point (6,3).
Silly comments will the reported!!! Please explain if possible!!
If graphs have a linear equations in a system are concurrent having the same slope and the same y-intercept what does that mean about possible solutions
Answer:
Infinite Amount of Solutions
Step-by-step explanation:
Since we have concurrent systems (same slope + same y-int), we know that the systems of equations would be the exact same line. If that is the case, the we would know that ANY value input would work. You could even test it mathematically, and it would give you infinite amount of solutions.
there were 54 marbles in total the ratio of green to blue is 7:2 work out the number of green marbles
Answer:
42 green marbles
Step-by-step explanation:
sum the parts of the ratio, 7 + 2 = 9 parts
Divide the number of marbles by 9 to find the value of one part of the ratio.
54 ÷ 9 = 6 ← value of 1 part of the ratio , then
7 parts = 7 × 6 = 42 ← number of green marbles
!helppppppppp meeeeeeee emmmmmm!
Answer & Step-by-step explanation:
Take the last expression:
[tex](3*3)*(4*4)[/tex]
This can be simplified using exponents. [tex]x*x=x^2[/tex] :
[tex]3^2*4^2[/tex]
So, take the two numbers within the parentheses from the first expression and write separately, including the exponent with each. Do this with the next problem:
[tex](5*6)^3=5^3*6^3[/tex]
:Done
Solve for x. 3:12 = x:16
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
We can represent each ratio as a fraction, then use the cross products property to find the value of x.
[tex]\frac{3}{12} = \frac{x}{16} \\\\\\16\cdot3=48\\\\48\div12=4[/tex]
Hope this helped!
Find the values of the unknown angles marked with letters. 50 points!!!!!!!
a ?
b ?
c ?
d ?
Answer:
a = 115°, alternate interior angles are congruentb = 70°, same as abovec = 180° - 115° = 65°, angles forming a straight angle are supplementaryd = 180° - 70° = 110°, same as aboveC:-
[tex]\\ \sf\longmapsto c+115=180[/tex]
[tex]\\ \sf\longmapsto c=180-115[/tex]
[tex]\\ \sf\longmapsto c=65°[/tex]
D:-
[tex]\\ \sf\longmapsto d+70=180[/tex]
[tex]\\ \sf\longmapsto d=180-70[/tex]
[tex]\\ \sf\longmapsto d=110°[/tex]
Help me!!! Please to solve this problem of o. Math
a) Given a function f(x) = 2x + 3. Find (a) f(1), (b) f(-5), (c) f(a), (d) f(a + 2) (e) f(b)?
b) let f(x) = x + 4 define a function in the closed interval of -55x55, find f(-2), f(3) and f(7).
a:-
f(x)=2x+3
[tex]\\ \rm\Rrightarrow f(1)=2(1)+3=2+3=5[/tex]
[tex]\\ \rm\Rrightarrow f(-5)=2(-5)+3=-10+3=-7[/tex]
[tex]\\ \rm\Rrightarrow f(a)=2a+3[/tex]
[tex]\\ \rm\Rrightarrow f(a+2)=2(a+2)+3=2a+4+3=2a+7[/tex]
[tex]\\ \rm\Rrightarrow f(b)=2b+3[/tex]
b:-
f(x)=x+4
[tex]\\ \rm\Rrightarrow f(-2)=(-2)+4=2[/tex]
[tex]\\ \rm\Rrightarrow f(3)=3+4=7[/tex]
[tex]\\ \rm\Rrightarrow f(7)=7+4=11[/tex]
Step-by-step explanation:
[tex]thank \: you[/tex]
I need helps will give you a good rating.
Answer: x = 3
Step-by-step explanation:
Sqrt(x+7) - 1 = x
Sqrt(x+7) = x + 1
x+7 = x^2 + 1
x = x^2 - 6
x=3
collen family plans to paint the window of their house. her father will paint twice as many window as her mother, and collen and her 2 brothers will paint an equal number of the rest of the windows
Answer:
21 windows
Step-by-step explanation:
colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?
Answer: Let the number of window Colleen father would paint be x while that of her mother be y. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father x = 2y
Let the number of windows each painted by Colleen and her 2 brothers be z since they would paint the same number of windows. The total number of windows to be painted = 2y + y + z + z + z = 3y + 3z = 3(y + z).
Then number of windows needed to be painted by Colleen and her mother is given as z + y. Since Colleen painted 7 windows as her share and her mother share i.e. y + z = 7
Therefore the total number of windows = 3(y + z) = 3(7) = 21 windows
6. Find the focus for the parabola.
2x=(y+3)^2+14
Focus: (x,y) =
Answer: Focus = (7.5, -3)
Step-by-step explanation:
The Vertex form of a horizontal parabola is: x = a(y - k)² + h where
a is the vertical stretch; [tex]a=\frac{1}{4p}[/tex]p is the distance from the vertex to the focus(h, k) is the vertexRewrite the equation in Vertex form to identify a, h, & k:
2x = (y + 3)² + 14
[tex]x=\dfrac{(y+3)^2+14}{2}\\\\x=\dfrac{1}{2}(y+4)^2+7[/tex]
Vertex: (h, k) = (7, -3)
[tex]a=\dfrac{1}{2}[/tex]
Find p and then find the focus: Focus = (h + p, k)
[tex]a=\dfrac{1}{4p}\quad \rightarrow \quad \dfrac{1}{2}=\dfrac{1}{4p}\quad \rightarrow \quad 4p=2\quad \rightarrow \quad p=\dfrac{2}{4}\quad \rightarrow p=\dfrac{1}{2}\\[/tex]
Focus: (7 + [tex]\frac{1}{2}[/tex] , -3) = (7.5, -3)
Find the missing side of this right
triangle.
Х
7
12
X =
V[?
Answer:
[tex]\sqrt{193}[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2}[/tex]
a = 7
b = 12
[tex]7^{2} + 12^{2}[/tex] = 193
I hope this helped!! :)have a great day! :)