Answer:
x ⠀⠀200⠀⠀ ⠀500
y⠀⠀⠀ 11⠀⠀⠀⠀⠀a
As x directly varies with y
200 × a = 500 × 11
a = 5/2 × 11 = 27.5
Answer:
y = 27.5
Step-by-step explanation:
We know that directly proportional equations usually come in the format of
y = k × x where 'k' is the constant. In this problem we are presented with a directly proportional questions asking us to find y when x= 500 considering that y varies directly with x and x = 200 when y = 11. So let's substitute in the values
→ y = k × x
⇒ Substitute in the first set of values which is x = 200 and y = 11
→ 11 = k × 200
⇒ Divide both sides by 200 to isolate 'k'
→ 0.055 = k
Now we know that the constant is 0.055 we can substitute the second set of values in,
→ y = 0.055 × x
⇒ Substitute in the second value which is x = 500
→ y = 0.055 × 500
⇒ Simplify
→ y = 27.5
If y varies directly with x and x = 200 and y = 11, the value of y when x = 500 is 27.5
A box contains different-colored marbles. If P(blue) = 1, P(green) = 4, and P(blue and green) = 12, which state
true?
The events are independent because P(blue). P(green) = P(blue and green).
The events are independent because P(blue). P(green) + P(blue and green).
The events are dependent because P(blue). P(green) = P(blue and green).
The events are dependent because P(blue). P(green) + P(blue and green).
Answer:
Not 100 percent sure but i think the correct answer is the last one.
Step-by-step explanation:
I know that the answer is either the last one or before the last because they are dependent on each other. This is because the probability of both increases when they are added together. The more you have the more likely to get one of them. I went for the last one because i think that the value of together is greater than when they are added.
Again, not 100 percent sure, tried to give it my best shot.
Hope this helps.
Answer:
A) dependent, because the product of P(blue) and P(green) does not equal P(blue and green)
Step-by-step explanation:
Just did it on edge 2020
-7 + (-40) =
What is the sum?
Answer:
-47
Step-by-step explanation:
-7+(-40)=
-7-40=
-47
Hope this helps!
The sum of -7 + (-40) is -47.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
An expression,
-7 + (-40).
To find the sum:
-7 + (-40),
Simplifying,
-7 - 40
= -47.
Therefore, the value is -47.
To learn more about the addition;
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QUICK!!! HELP WILL MARK BRAINLIEST!!!!! ANSWER BOTH QUESTIONS!!!!!!
PLS HELP NOW ! WILL MARK BRAINLIEST AND 5 STARS
2x-3/4 + x = 2x+3/2 + 9
^ and ^ are FRACTIONS
Answer:
x = 45/4
Step-by-step explanation:
2x - 3/4 + x = 2x + 3/2 + 9
- 3/4 + x = 3/2 + 9
- 3/4 + x = 21/2
x = 21/2 + 3/4
x = 45/4
Evaluate 7 − (−1). (1 point)
Answer:
8
Step-by-step explanation:
7 - -1
When we subtract a negative, it is like adding
7+1
8
PLEASE HELP!!! ILL GIVE THE BRIANLIEST TO TO WHOEVER ANSWERS CORRECTLY!!!!!!!
O A. 215.547
O B. 234.989
O C. 238.989
O D. 134.589
Answer:
B
Step-by-step explanation:
The range is the largest number minus the smallest number.
Hope this helps!
Answer the questions attached:
1. I'm not completely sure, but these angles seem to be complementary, meaning they add up to 90°. Since 75° + x = 90°, x = 15°.
2. These lines seem to be parallel. ∠4 ≅ ∠1 because they are vertical angles, ∠5 ≅ ∠1 because they are corresponding angles, and because ∠8 ≅ ∠4 (corresponding angles), ∠8 ≅ ∠1 as well. The final answer is ∠4, ∠5, and ∠8. Hope this helps!
Look at the attached picture
Hope it will be helpful to you....
Good luck on your assignment
~pragya
ANSWER PLS!!!!!!! EASY!!!!!!!!!!
Deborah bought a computer for 25% off the list price. If the list price is $2,428, how much did Deborah spend?
Answer:
$607
Step-by-step explanation:
25% = 0.25
0.25*2428 = 607
Which two points have a undefined slope
A.(-1, 1) and (1, -1)
B.(-2, 2) and (2,2)
C.(-3, -3) and (-3,3)
D.(-4,-4) and (4, 4)
Answer:
C.(-3, -3) and (-3,3)
Step-by-step explanation:
When we have a vertical line the slope is undefined.
That means the x values stay the same
C.(-3, -3) and (-3,3)
This has the same x values
m = (y2-y1)/(x2-x1)
=( 3- -3)/(-3 - -3)
(3+3)/(-3+3)
6/0
undefined
Answer: C
Step-by-step explanation:
is 0.02 greater than 0.1
Answer:
No.
Step-by-step explanation:
Since there is a 1 in the tenths place for 0.1, and nothing in the tenths place for 0.02, 0.1 is greater.
The decimal number 0.1 is greater than 0.02. Therefore, the given statement is false.
The given decimal numbers are 0.02 and 0.1.
Similar to comparing other whole numbers, while comparing decimals, one should start with the digits with the highest place value. We first create a place value table with the supplied decimal numbers before starting the comparison. If the digits on the biggest place value match, we go to the digits in the next place to the right. We keep comparing digits until we reach the ones that are different.
Here, 0.1 is greater than 0.02.
Therefore, the given statement is false.
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In a right triangle, one leg is 20 cm and the hypotenuse is 30 cm. To the nearest hundredth of a cm, find the length of the missing leg. Formula and diagram required. Include units in your answer.
Answer:
Step-by-step explanation:
Use Pythagoras’ theorem
square of hypotenuse = sum of squares of two other sides
let the missing side be d
30^2 = 20^2 + d^2
600 = 400 + d^2
d^2 = 200
d = square root of 200
d = 14.142 cm
Answer:
22.36
Step-by-step explanation:
For this question we need to utilise Pythagoras theorem. Pythagoras theorem states that a² + b² = c² so the sum of the leg's squared will equal the hypotenuse squared. In this question we are given the hypotenuse so we will have to rearrange the equation to find the value of the leg,
→ a² + b² = c²
⇒ Substitute in the values
→ 20² + b² = 30²
⇒ Simplify
→ 400 + b² = 900
⇒ Minus 400 from both sides to isolate b²
→ b² = 500
⇒ Square root both sides to find the value of the leg
→ b = 22.360679775 cm
The length of the missing leg is 22.36 cm to nearest hundredth considering one leg is 20 cm and the hypotenuse is 30 cm.
An escalator in a department store rises 80 feet at a 32 degrees angle, what is the distance x, from the bottom of the escalator to the top of the escalator to the nearest foot.
Answer:
150.94 or 151 ft
can anyone helpp. its under probability and statistics!
Answer:
C
Step-by-step explanation:
Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53°.
What is the measure of angle BCD?
37°
53°
74°
106°
The measure of angle BCD in circle A is 74°.
What is a circle?A circle is the locus of a point such that its distance from a fixed point is constant.
From the circle:
BC = CD (tangents that meet at the same point are equal)
But ∠ABC = 90° (angle between tangent and radius)
In triangle ABC:
∠ABC + ∠BCA + ∠BAC = 180 (triangle)
90 + ∠BCA + 53 = 180
∠BCA = 37°
Hence:
∠BCA = ∠ACD = 37°
angle BCD = ∠BCA + ∠ACD = 37 + 37 = 74°
The measure of angle BCD in circle A is 74°.
Find out more on circle at: https://brainly.com/question/24375372
Pepper Jackie has 225 square inches for the area for her square mosaic.
How can she figure out how long each side should be?
Area of a Square
A= 225 in.2
S
S
She doesn't have enough
information to do this.
Divide 225 by 4.
Find the positive square
root of 225.
Divide 225 by 2.
Answer:
ugh man do I hate iready!!
225/4=56.25
square root of 225 equals 15
225 / 2 equals 112.5
Answer: it’s find the positive square root of 225: I did iReady
Step-by-step explanation:
4 times what equals 9.15?
Look at the attached picture
Hope it will help you
A brother and a sister are in the same math class. There are 9 boys and 8 girls in the class. One boy and one girl are randomly chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.
The probability is ?
Answer:
for the girl, the probability is 1/8 or one out of 8. And, for the boy, it is one out of 9 or 1/9. Do you need to find one probability rate for both of them or one for each kid?
Step-by-step explanation:
What is the solution to the equation 3 1/2+ p = 5 1/4 ?
p =
p = 2
p =
p = 1
Answer: D. P = 1 3/4
Step-by-step explanation:
Which letters have line symmetry choose our answers that are correct
Answer:
Letters O and E have lines of symmetry ! Vertically & horizontally
5(y+2/5)= -13 (please have an explanation)
Answer:y=-3
Step-by-step explanation:5(y+2/5)=-13
so first you simplify both sides of the equation
(5)(y)+(5)(2/5)=-13
then you distribute
5y+2=-13
then you subtract 2 from both sides
5y+2-2=-13-2
5y=-15
then u divide both side by 5
5y=-15
5 5
y=-3
Help me with this please
Answer:
There is one variable and that is x
Please mark Brainliest if this helps!
Answer:
There are 3 variables
Step-by-step explanation:
7 (x) X is a variable your equation holds Three X's
What is the volume of a sphere with a radius of 21 units?
A. 9261 pie units 3
B. 12,348 pie units 3
C. 588 pie units 3
D. 37,044 pie units 3
Answer:
B
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius ), thus
V = [tex]\frac{4}{3}[/tex]π × 21³
= [tex]\frac{4}{3}[/tex]π ×9261 = [tex]\frac{4(9261)}{3}[/tex]π = 12348π units³ → B
Answer: B: 12,348π units³ which is 38,772.72 units³
Step-by-step explanation:
The formula of the volume of a sphere is V = [tex]\frac{4}{3}[/tex]πr³
Since we know that the radius is 21, we can fill in the given numbers:
V = [tex]\frac{4}{3}[/tex]π(21)³
Now, the new formula is V = [tex]\frac{4}{3}[/tex]π(9,261) = 38,772.72
Help me please I’m stuck
So the right answer is 60%
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
The answer would be 60%.Goodluck!
help help helphelp help helphelp help helphelp help helphelp help helphelp help help
Answer:
b
Step-by-step explanation:
20, the coefficient of this expression, is being divided by x, the variable. Therefore, the correct answer is b, division. Hope this helps!
Answer:
Division
Step-by-step explanation:
/ symbol mean division
pls help i give u brainliest amd 5 stars
Answer:
160
Step-by-step explanation:
60-24=36 left
24 x 8 = 192
36/2=18
9 x 12 =108
108+192=300
300-140= 160 euros profit
if you're good at logarithms please help me with question j on the bottom
Step-by-step explanation:
[tex]a) \\ log_{x}(15) \\ = log_{x}(3 \times 5) \\ = log_{x}3 + log_{x}5 \\ = 1.5 + 1.8 \\ = 3.3[/tex]
[tex]b) \\ log_{x}(2) \\ = log_{x}(\frac{10}{5}) \\ = log_{x}10 - log_{x}5 \\ = 3 - 1.8\\
= 1.2[/tex]
[tex]e) \\ log_{x}(150) \\ = log_{x}(3 \times 5\times 10) \\ = log_{x}3 + log_{x}5+ log_{x}10 \\ = 1.5 + 1.8 + 3\\ = 6.3[/tex]
[tex]f) \\ log_{x}(250) \\ = log_{x}( 5^2 \times 10) \\ = log_{x}5^2 + log_{x}10 \\
= 2log_{x}5 + log_{x}10 \\
= 2\times 1.8 + 3\\
= 3.6 + 3\\
= 6.6[/tex]
Answer:
[tex]\log _x\left(6\right)[/tex]
[tex]$\frac{\text{log}(6)}{\text{log}(x)} =\frac{\text{log}(3)}{\text{log}x)}+\frac{\text{log}(3)}{\text{log}(x)}=\frac{1.5}{\text{log}(x)}+\frac{1.5}{\text{log}(x)}=\frac{3}{\log _{10}\left(x\right)}$[/tex]
A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6
points. Irina got a score of 95 points on the exam.
What proportion of exam scores are lower than Irina's score?
You may round your answer to four decimal places.
Answer:
The proportion of exam scores that are lower than Irina's score is 0.9938
Step-by-step explanation:
Data
mean: 80 pointsstandard deviation (sd): 6 pointsvalue of interest (x): 95 pointsz-score is computed as follows:
z = (x - mean)/sd
z = (95 - 80)/6 = 2.5
We want to find:
P(z < 2.5)
From the table attached:
P(z < 2.5) = 0.9938
Answer: 0.9938
Step-by-step explanation:
Write the value of the expression 3^3/3^6
Answer:
When dividing two values with the same base, we simply subtract the first exponent by the second and keep the original base. 3^3-6=3^-3. This equals out to be 1/27.
Step-by-step explanation:
The width of a poster is 8cm less than the length. The perimeter is more than 184
cm. If the length and width are both integers, what is the minimum dimension for
the length?
Answer:
Denote the length is a, then the width is a - 8.
The perimeter is more than 184:
=> 2 x ( a + a - 8) > 184
=> 2a - 8 > 92
=> 2a > 100
=> a > 50
=> a = 51
=> Minimum dimension for the length: a = 51
Hope this helps!
:)
A scale drawing is made to enlarge a picture by using a scale factor of 3. The enlarged picture is 9 inches by 15 inches. What are the dimensions of the original picture? 3 inches by 5 inches 3 inches by 15 inches 6 inches by 12 inches 27 inches by 45 inches
Answer:
3 inches by 5 inches.
Step-by-step explanation:
The scale factor is 3 so the original lengths are 1/3 of the enlarged , so the answer is 9/3 by 15/3
= 3 by 5.
The dimensions of the original picture is 3in by 5in
Scale factors and dimensionLet the original dimension of the drawing be x in by y in
If the dimension of the enlarged picture is 9 inches by 15 inches after using a scale factor of 3, then;
x = 9/3 = 3in
y = 15/3 = 5in
Hence the dimensions of the original picture is 3in by 5in
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