Answer:
Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.
Step-by-step explanation:
Since five friends took the maths test, and Adam, Brandon, and Chen together together scored 200 marks; Brandon, Chen and Damion together scored 215; Chen, Damion and Erica together scored 224; and Damion and Erica scored more than Chen; While the five of them together scored 350 marks, to determine what are their individual scores the following calculations must be done:
Adam + Brandon + Chen = 200
Damion + Erica = 150
Brandon + Chen + Damion = 215
Adam + Erica = 135
Chen + Damion + Erica = 224
Adam + Brandon = 126
Adam + Brandon = 126 + Chen = 200
Chen = 200 - 126
Chen = 74
Damion and Erica scored more than Chen
Chen + Damion + Erica = 224
74 + Damion + Erica = 224
Damion + Erica = 150
Damion = 75
Erica = 75
Brandon + Chen + Damion = 215
Brandon + 74 + 75 = 215
Brandon = 215 - 74 - 75
Brandon = 66
Adam = 350 - 75 - 75 - 74 - 66
Adam = 60
Therefore, Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.
2. Which of the following is true of liquids? * AThey take on the shape of their container. b.Their shape does not change. C.Their particles are widely spread out. D.Their particles move very rapidly.
Answer:
A
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
P.
х
50°
Q
R
4.2
Answer:
5.0 =x
Step-by-step explanation:
Since this is a right triangle
tan theta = opp side/ adjacent side
tan 50 = x / 4.2
4.2 tan 50 = x
5.005365089 =x
Rounding to the nearest tent
5.0 =x
Assume the total cost of a college education will be $200,000 when your child enters college in 16 years. You presently have $55,000 to invest. What annual rate of interest must you earn on your investment to cover the cost of your child’s college education?
Answer:
8.4%
Step-by-step explanation:
let x = interest rate
55,000(1 + x)^16 = 200,000
divide both sides by 55,000
(1 + x)^16 = 3.636
find the invese of 16
1 + x = 1.084
x = 0.084
x = 8.4
Which answers I should have to answer
Given:
The table of point scored in 5 games.
After game 6, the mean number of points scored per game is 9.
To find:
The points scored by Maya in game 6.
Solution:
Let x be the points scored by Maya in game 6. Then sum of scores in all 6 games is:
[tex]Sum=8+12+10+6+14+x[/tex]
[tex]Sum=50+x[/tex]
We know that, the formula for mean is:
[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]
So, the mean number of points scored per game is:
[tex]\text{Mean}=\dfrac{50+x}{6}[/tex]
It is given that the mean number of points scored per game is 9.
[tex]\dfrac{50+x}{6}=9[/tex]
[tex]50+x=9\times 6[/tex]
[tex]x=54-50[/tex]
[tex]x=4[/tex]
Therefore, the correct option is A.
Find the value of x and y
Answer:
x = 30, y = 15
Step-by-step explanation:
x = 2*15 = 30
(Central angle is twice the inscribed angle standing on the same arc.)
Similarly,
y = 15
(Base angles of isosceles triangle are equal)
ABCD ~ EFGH
С
B
140°
G
3
50°
4.5
2
110°
DE
х
A
2.4
H н.
x = [?]
Enter your answer in decimal form.
Enter
Answer:
x = 3.6
Step-by-step explanation:
Since ABCD ~ EFGH, therefore:
AB/EF = AD/EH
AB = 3
EF = 2
AD = x
EH = 2.4
Plug in the values into the equation:
3/2 = x/2.4
Cross multiply
3*2.4 = 2x
7.2 = 2x
Divide both sides by 2
7.2/2 = x
3.6 = x
x = 3.6
Which one
18ft
26ft
70ft
96ft
Answer:
c. 70ft²
Step-by-step explanation:
Area of wall needed to be painted
= (12×8) - (2×2×2) - (3×6)
= 96 - 8 - 18
= 70ft²
P(C)= 0.02. What is the complement of P(C)?
Answer:
P'(C) = 0.98
Step-by-step explanation:
Given that,
P(C) = 0.02 (The probability of getting C)
We need to find the complement of P(C) i.e. P'(C).
We know that,
P(C)+P'(C)=1
P'(C) = 1-P(C)
= 1-0.02
= 0.98
So, the complement of P(C) is equal to 0.98.
Find missing side
help quick pls
Answer:
7m
Step-by-step explanation:
18/6 = 3
24/8 = 3
21/x = 3
21/3 = 7
x = 7
2e - 3(2e + 3) = 3e + 5
What is e?
[tex]\boxed{e\:=\:-2.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]2e - 3(2e + 3) = 3e + 5 \\ ⇢2e - 6e - 9 = 3e + 5 \\ ⇢ - 4e - 3e \: = 5 + 9 \\ ⇢ - 7e = 14 \\ ⇢e = \frac{14}{ - 7} \\ ⇢e = - 2[/tex]
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex]2e - 6e - 9 = 3e + 5 \\⇢2 \times - 2 - 6 \times - 2 - 9 = 3 \times - 2 + 5 \\ ⇢ - 4 + 12 - 9 = - 6 + 5 \\ ⇢12 - 13 = - 1 \\ ⇢ - 1 = - 1 \\ ⇢L.H.S.=R. H. S [/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
solve everything for brainiest
Answer:
1. [tex]a = 8[/tex]
2. [tex]b = \frac{1}{8}[/tex]
3. [tex]c = 2 \frac{3}{5}[/tex]
4. [tex]d = \frac{13}{50}[/tex]
Step-by-step explanation:
What is the equivalent to 2 to the 4th power
Answer:
4 to the 2nd power is the equivalent to 2 to the 4th power
Step-by-step explanation:
2⁴ = 16 = 4²
Answer:
16
Step-by-step explanation:
2*2*2*2= 16
(x−4)2+y2=64
(
x
−
4
)
2
+
y
2
=
64
Which point is on the circle?
Answer:
(12, 0)
Step-by-step explanation:
The centre of the circle is at (4, 0) and the radius = √64 = 8.
So one point on the circle is at ((4 + 8), 0) = (12,0).
6x - 4 -2x + 5 = 13 answer this question
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
[tex]6x + 1 - 2x = 13[/tex]
[tex]4x+1 = 13[/tex]
[tex]4x+1-1 = 13-1[/tex]
[tex]4x = 12[/tex]
[tex]\frac{4x}{4} = \frac{12}{4}[/tex]
[tex]x = 3[/tex]
Answer:
x = 3
Step-by-step explanation:
6x-4-2x+5=13 (simplify)
4x+1=13 (4x+1 - 1 ; 13-1)
4x=12 (4x/4 ; 12/4)
x=3
A regression analysis involving one independent variable and one dependent variable is referred to as
Answer: Simple regression
Step-by-step explanation:
A regression analysis that involves one independent variable and one dependent variable is called the simple regression.
The Simple Regression Analysis shows the relationship that exist between the dependent variable which is the value that's to be predicted and the independent variable. The dependent variable depends on the independent variable
What is the angle of elevation to the top of a 45 foot building from 85 feet away?
Round your answer to the nearest tenth.
•31.9°
•58.1°
•27.9°
•62.1°
Answer:
58.1
Step-by-step explanation:
Fabric is stretched over the wooden frame below What is the total area of the fabric? Round to the nearest square inch
Answer:
72 in²
Step-by-step explanation:
We obtain the value of EC:
From Pythagoras :
EC = √CD² - DE²
EC = √10² - 6²
EC = √100 - 36
EC = √64
EC = 8
To obtain AE:
AE = √AB² - BE²
AE = √(√52)² - 6²
AE = √52 - 36
AE = √16
AE = 4
Hence, we can obtain the areas of each triangle :
△ABE = △ADE
△BCE = △CDE
AREA OF △ABE = 1/2 * base * height
= 1/2 * 4 * 6 = 12 in²
AREA OF △BCE = 1/2 * base * height
= 1/2 * 6 * 8 = 24 in²
HENCE, total area of fabric :
(2 * 12) + (2 * 24)
24 in² + 48 in²
= 72 in²
Find the diameter and radius of the circle given the circumference.
C = 81.3 cm
d =
r=
Word Bank:
32.18
25.88
16.09 20.32
12.94 40.65
C=2 pie r
81.3/2pie=r
R=12.94
D=2r
D= 25.88
which M.A.D (mean absolute deviation) would show the most variability
a- .5
b- 1.5
c- 1
d- 2
What’s the measure of angle B? It’s not 64.
Answer:
65 degrees
Step-by-step explanation:
Angles in a triangle add to 180°.
The diameter of a circle is 4 cm. Which equation can be used to find its circumference?
C = pi times 2
C = pi times 4
C = StartFraction pi times 4 over 2 EndFraction
C = StartFraction pi times 4 over 4 EndFraction
Answer:
C = StartFraction pi times 4 over 2 EndFraction.
Step-by-step explanation:
the circumference of a circle=
C= 2 times PI times radius
Radius= d/2
sooo it is
C = StartFraction pi times 4 over 2 EndFraction.
Answer:
C = StartFraction pi times 4 over 2 EndFraction.
Step-by-step explanation:
the circumference of a circle=
C= 2 times PI times radius
Radius= d/2
sooo it is
C = StartFraction pi times 4 over 2 EndFraction.
21 x 5/7 anybody know please?
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
If anyone can help, it’d be appreciated! I’m so confused
PLS HELP I WILL MARK BRAINLIEST
Answer:
The green triangle is the rotation. It is rotated 90 degrees about the origin (0,0). P is at (-1.1). Q is at(-2,3). R is at (-5,2).
The red triangle is the reflection. It has been reflected over the x=axis. X is at (1,-1). Y is at (3,-2). Z is at (2,-5).
Step-by-step explanation:
The green triangle is the rotation. It is rotated 90 degrees about the origin (0,0). P is at (-1.1). Q is at(-2,3). R is at (-5,2).
The red triangle is the reflection. It has been reflected over the x=axis. X is at (1,-1). Y is at (3,-2). Z is at (2,-5).
If you role a die 60 times, how many times will i expect a 5 to roll? (based on theoretical probability)
Answer:
6
Step-by-step explanation:
Determine whether the following system is consistent or inconsistent and if it is independent or dependent.
Y=2x-3 and 2x-2y=2
9514 1404 393
Answer:
consistent, independent
Step-by-step explanation:
Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...
y = x - 1
The x-coefficients of this and the first equation are different, so the system is consistent and independent.
__
A system is independent if the equations describe different lines.
A system is inconsistent if the equations describe parallel lines.
Here, the different lines are not parallel, so the system is independent and consistent.
Bill used a rain gauge to measure how much rain fell, in centimeters (cm), during a
rainfall.
(ANYONE WANNA HELP ME?)
Step-by-step explanation:
done hope this helped you
A snail can travel 390 inches in 5 hours.
How far does it travel in 1 hour?
Answer:
78 inches
Step-by-step explanation:
5 hours = 390 inches
1 hour = 390 / 5
1 hour = 78 inches
Therefore the snail travels 78 inches in 1 hour.
Hope this helps!
what is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?
Answer:
8π/5
Step-by-step explanation:
Length of an arc, L
L = θ / 360° * (2πr)
r = Radius = 4 ; θ = 72
Hence,
L = 72/360 * (2π4)
L = 1/5 * 8π
L = 8π/5
Martha bought a 0.45-kilogram bottle of spice. She uses 60 grams a week. Is one bottle of spice enough for 9 weeks? Explain.
Answer: No.
Step-by-step explanation:
The reason why it is not enough is that 0.45 kilograms is 450 grams, and when you divided 450 by 9, you get 50, which is 10 less than 60. Therefore, 1 bottle of spice is not enough for 9 weeks.
Answer:
No
Step-by-step explanation:
Half of a kilogram or 0.5 is 500 grams.
The total grams for nine weeks (60 x 9) is 540
Since Martha bought a 0.45 kilogram bottle, which is less than a half, she doesn't have enough of the spice.
Martha would need a 0.54 kilogram bottle to have the right amount.