Answer:
1/3 or 1:3
Step-by-step explanation:
since there is a 10/30 chance
to simplify divide by 2
10/30 ÷ 2/2 = 5/15
then divide by 5
5/15 ÷ 5/5 = 1/3
your answer is 1/3
another simple way to simplify
since there is a zero (0) in both the ones (1s) spot on both the numerator and denominator in 10/30, you may just cross out both zeros (0s) to simplify the value
10/30 simplified/taken away 0s = 1/3
hope this helps:)
I need help to find the equation and measure pls.
Answer:
Step-by-step explanation:
AD and EH are parallel lines
Angle CBD = Angle CFH = x (corresponding angles)
x + 2x = 180 (angles on a straight line)
3x = 180
x = 60
Angle GFH = 120
Angle CBD = 60
11. a bag contains 8 red marbles, 9 yellow marbles, and
7 green marbles. how many additional red marbles
must be added to the 24 marbles already in the bag so
that the probability of randomly drawing a red marble
is
15.
a 11
b. 16
c. 20
d. 24
e. 32
To get a probability of 3/5, 16 red marbles must be added.
How many additional red marbles must be added?
There are 8 red, 9 yellow, and 7 green marbles, for a total of:
8 + 9 + 7 = 24.
The probability of getting a particular color of marble is given by the quotient between the number of marbles of that color and the total number of marbles.
Here, we want to get a probability of drawing a red marble equal to 3/5.
So, if we add x red marbles, the probability of getting a red marble will be:
P = (8 + x)/(24 + x)
And that must be equal ot 1/5, then we write:
(3/5) = (8 + x)/(24 + x)
If we multiply both sides bt (24 + x), we will get:
3*(24 + x)/5 = 8 + x
Now we can solve that for x.
3*24/5 - 8 = x - x(3/5) = (2/5)*x
x = (3*24/5)*(5/2) - (5/2)*8 = 16
So 16 red marbles must be added, the correct option is b.
If you want to learn more about probability, you can read:
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Mrs. Crosby had 350 sheets of paper. She used 8 sheets of paper for a craft. She then gave each student 4 sheets of paper. Which expression represents the number of sheets of paper Mrs. Crosby had left after she gave paper to b students?
What is the area in square units of the trapezoid
equation that shows 3 less than the product of 4 and m
The equation that shows 3 less than the product of 4 and m is 3 < 4m
Formation of equationFormation of equation is a means of transforming statements into equations
The product of 4 and m is 4m
If 3 is less than the product of 4 and m, this is expressed as:
3 < 4m
Divide both sides by 4
3/4 < m
m > 3/4
Hence the equation that shows 3 less than the product of 4 and m is 3 < 4m
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Can someone please help me out with number 4. I will reward brainliest.
Answer:
y = 2sin(x - π/4)
Step-by-step explanation:
The graph depicts a sin graph which is shifted to the right by π/4 so the x value will have be bigger so to counteract this change, the equation would be sin(x - π/4) and since the amplitude is 2, the overall equation would be 2sin(x- π/4).
Use the information to answer the question.
John walked 32,000 steps during a training week. His weekly goal is to walk 300 more steps than he did in the previous week. Let w represent the
number of weeks after the training week.
Which expression represents the total number of steps John will walk if he meets his goal?
Answer:
Steps = 300w + 32,000
Step-by-step explanation:
Rewrite the expression with rational exponents as a radical expression.
7 times x to the two thirds power
please help me I will give brainliest
Answer:
I believe the answers are B and C
Step-by-step explanation:
Answer:
i believe b and c
Step-by-step explanation:
What is the formula for a surface area of a rectangular prism?
Answer:
[tex]\boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}[/tex]
Step-by-step explanation:
We know that the surface area is the sum of the area of the prism's faces.
It should be noted that the area of any face is equal to the area of its opposite face. Thus, we get the following equation for the surface area:
[tex]\implies\text{SA = 2(} \text{Area of rectangle}_{1} ) \ + \ \text{2}(\text{Area of rectangle}_{2} ) \ + \ \text{2}(\text{Area of rectangle}_{3} )[/tex]
A model has been drawn of the rectangular prism. (image)
Let the dimensions (length, width, and height) of the prism be known as L, B, and H respectively. Then, we get the following:
[tex]\implies \text{SA} = 2(\text{L} \times \text{W}) + 2(\text{L} \times \text{H}) + 2(\text{B} \times \text{H})[/tex]
[tex]\implies \boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}[/tex]
Learn more about surface area: https://brainly.com/question/12483725
A rectangle has an area of 14 square feet. one side length is 3.5 feet. Find the side length of the other side and then give the perimeter of the square?
wat is 5x5 divede by 8 help plsss!!!!!!!!!!!!! (100) points!!!
Answer:
25/8 = 3.125
Step-by-step explanation:
Answer:
5 × 5 ÷ 8 = 3 ¹/₈
Step-by-step explanation:
Using the order of operations we need to work from left to right.
Therefore we should carry out the multiplication first.
5 × 5 means "5 lots of 5"
⇒ 5 × 5 = 5 + 5 + 5 + 5 + 5 = 25
Now we need to divide 25 by 8.
8 + 8 + 8 = 24
Therefore, 8 goes into 25 three times with a remainder of 1.
So, 5 × 5 ÷ 8 = 3 ¹/₈
Please help me!!!!!!!!
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Notes }}}[/tex]
✟ Now let ✟➣Let these two parallel line be p and q➣ and angle "x + 22" be a➣ and angle "2x-13" be b[tex] \rule{70mm}{2.9pt}[/tex]
[tex]\underline{ \boxed{ \sf{✰ \:Concept \: used }}}[/tex]
➣ Here given two lines are parallel and also know as transversel➣ angle a and b are same side interior angle➣ and given two angle are supplementary➣ and sum of supplementary angle is of 180⁰➣ soo the equation formed is a+b =180⁰[tex] \rule{70mm}{2.9pt}[/tex]
★ Now let's solve according to concept[tex]\qquad\rm{➛ \: x+ 22+2x-13 = 180 \degree}\\\qquad \rm{✮solving \: like \: terms✮} \\ \qquad\rm{➛ \: 3x + 9 = 180 \degree} \\ \qquad\rm{➛ \: 3x = 180 - 9} \\ \qquad\rm{➛ 3x = \: 171} \\ \qquad\rm{➛x = \frac{171}{3} } \\ \qquad\rm{➛ \: x = \frac{ \cancel{171}}{ \cancel3} } \\ \qquad\rm{➛ \: x = 57 \degree}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
★ More info ★ ➣ Supplementary angle :- An angle that, when added to another referenced angle, produces an angle of 180 degrees.➣Transversal :-A line which traverses or intersects any system of other lines transversely.➣ Interior angles :- The inner angle between two sides[tex] \rule{70mm}{2.9pt}[/tex]
✠ Hence ✠
[tex] { \boxed{✜\underline{ \boxed{ \sf{ x = 57\degree \green✓}}}✜}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
The length of a scale model of an American Football Field is 7 inches less than twice its width. The area of the model is 72 in^(2). Solve for the dimensions of the rectangular model
The dimension of the rectangular model shows that the length is 9 inches and the width is 8 inches
What is the area of a rectangle?The area of a rectangle is the multiplication of the length and the width of the rectangle.
The area of the rectangle is expressed as:
Area (A) = length (L) × width (w)
A = l × w
Given that:
width = xLength = 2x - 7Area = 72 in ²72 = (2x - 7) × (x)
72 = 2x² - 7x
2x² - 7x - 72 = 0
Using the quadratic calculator
x = 8 or x = -9/2
However, since our length/width distance can't be negative, then:
x = 8
width = 8 inchesLength = 2(8) - 7 = 9 inchesLearn more about the area of the rectangle here:
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An Olympic pool is rectangular with a length of 50 meters. Ms Burri wants to fit an Olympic pool in her backyard but doesn't have enough room so she plans to build a similar pool with a length of only 30 meters.
a. She wants to replace the pool deck around her new smaller pool. What is the ratio of the perimeter of the Olympic pool to the new smaller pool?
b. The area of the olympic pool is 1,2500 meters squared. If she were to buy a pool cover to fit her brand new smaller pool, what would the area be?
Perimeter of older
2(50+W)100+2WPerimeter of newer
2(30+W)60+2WAs w is constant cancel it
Ratio
100/605/3Ratio of area is also same
So
5/3=12500/x5x=37500x=37500/5x=7500m²Answer:
See below ~
Step-by-step explanation:
Finding perimeter of Olympic pool and regular pool :
P (olympic) = 2(l + w) = 2(50 + w) = 2w + 100P (regular) = 2(l + w) = 2(30 + w) = 2w + 60Taking the ratio :
2w + 100 : 2w + 60100 : 605 : 3Using ratios to find area of regular :
5 : 3 = 12,500 : aa = 12500/5 x 3 = 2500 x 3a = 7,500 m²What is the value of 4’3 divided by 2’3
7
16
2
8
8
Done →
Hey there!
ASSUMING:
4^3 / 2^3
IF SO:
4^3 / 2^3
= 4 * 4 * 4 / 2 * 2 * 2
= 16 * 4 / 4 * 2
= 64 / 4
= 64 ÷ 2 / 8 ÷ 2
= 32 / 4
= 32 ÷ 4
= 8
Therefore, the answer should be: 8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the mean and median of these data: 2, 5, 13, 15, 19, 21.
The Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.
What is Arithmetic mean?Arithmetic mean is simply the average of a given set numbers. It is determined by dividing the sum of a given set number by their number of appearance.
Mean = Sum total of the number ÷ n
Where n is number of numbers
Median is the middle number in the data set.
Given the sets;
2, 5, 13, 15, 19, 21n = 6Mean = Sum total of the number ÷ n
Mean = (2 + 5 + 13 + 15 + 19 + 21) ÷ 6
Mean = 75 ÷ 6
Mean = 12.5
Median is the middle number in the data set.
Median = ( 13 + 15 ) ÷ 2
Median = 14
Therefore, the Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.
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Can someone pls pls pls pls pls pls pls solve this page for us
Answer:
Depends on the statistics.
Step-by-step explanation:
I will need to see question 2 as it says in the instructions. I need to do this as the plot is based on that question.
Volleyball players are randomly placed on teams by spinning a spinner with four congruent, colored sections. They are assigned positions on the team by rolling a six-sided die. The team colors are red, black, green, and purple.
Which of the following is true?
A. Spinning the spinner and rolling the die to select teams and positions represent independent events because the outcome of the first event affects the outcome of the second event.
B. The problem does not provide enough information to determine if the two events are independent or dependent.
C. Spinning the spinner and rolling the die to select teams and positions represent independent events because the outcome of the first event does not affect the outcome of the second event.
D. Spinning the spinner and rolling the die to select teams and positions represent dependent events because the outcome of the first event affects the outcome of the second event.
2/3 - 3/5 = ?/15 - ?/15
Answer:
? = 6
? = 9
Step-by-step explanation:
[tex]\frac{2}{3} -\frac{3}{5} = \frac{6}{15} - \frac{9}{15}[/tex]
Hope it helped !
Btw have a nice day ! :3
Adriel
a teacher tells her students she is just over 1 and 1/2 billion seconds old. Write her age in seconds using sci not. what is a more reasonable unit of measurement for this situation? How old is she when you use a more reasonable unit of measurement.
Words Decimal Representation Scientific Notationten million 10,000,000 1 x 107one hundred million 100,000,000 1 x 108one billion 1,000,000,000 1 x 109ten billion 10,000,000,000 1 x 1010
How do you solve this?
Answer:
120+5x+15+5x+15=180
10x=180-120-15-15
x=30°
Answer: 9^o
Step-by-step explanation:
(all angles in an isoceles triangle adds up to 180 degrees)
5 x + 15 + 120 = 180
5x = 180 - 120 - 15
5 x = 45
x = 9^o
Find the surface area of the pyramid.
Answer:
base+B+Height
Step-by-step explanation:
Because the base which is considered the rectangle, and the "B" is considered the Area which is whatever the number is at the bottom is considered the area and the height is whatever number is one the side then you mulitply the base and height. And once you find the answer to that you divide it by 3.
If there are 200 calories in 100 cubic cm, how many calories in just 1 cubic cm?
What are m 1 and m_2?
180° 115°
85
A.
21 = 30°, m 2 = 35°
B.
21 = 35°, m 2 = 30°
O
C. _1 = 65°, m_2 = 60°
=
0 D. 21 = 85°, m_2 = 80°
Answer:
D. is the correct answer tnx
Anybody want to help with math?
10 + 23 / (4 + 1 + 10) - 200 + 365
Ty :)
Answer:
176.53
Step-by-step explanation:
All i didnwas just solve the math on paper and u could use a caculator
Answer:
33/-550
Step-by-step explanation:
Add
Hope it help
How much more sand could the container hold before it overflows?
Answer:
67.5 in^3
Step-by-step explanation:
just calculate the volume
= 5 x 4.5 x 3
= 67.5 in^3
1) How do we find surface area? (What is it?)
2) What is the surface area of this pyramid?
Answer:
360 units squared
Step-by-step explanation:
10*10 = 100
10*13*2 = 260
260 + 100 = 360
Show your work (19−7)^( (2) ) −8*3+4*3−5
Answer:
Step-by-step explanation:
1 Simplify 19-7 to 12.
12^2−8×3+4×3−5
2 Simplify 12^2 to 144
144−8×3+4×3−5
3 Simplify 8×3 to 24.
144−24+4×3−5
4 Simplify 4×3 to 12.
144−24+12−5
5 Simplify 144-24 to 120.
120+12-5
6 Simplify 120+12 to 132.
132-5
7 Simplify.
127
A mixture of purple paint contains (6 teaspoons of red paint and (5 teaspoons of blue
paint. To make the same shade of purple paint using 35 teaspoons of blue paint, how
much red paint would you need? Use the double number line diagram to help if
needed.
If the 35 teaspoons of blue paint are there. Then for the purple paint, we need to add 42 teaspoons of red paint.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
A mixture of purple paint contains 6 teaspoons of red paint and 5 teaspoons of blue paint.
To make the same shade of purple paint using 35 teaspoons of blue paint, then the amount of the red paint that you need will be
Let x be the amount of the red color needed.
Then we have
[tex]\rm \dfrac{x}{35} = \dfrac{6}{5}\\\\\\x \ \ = \dfrac{6 \times 35}{5}\\\\\\x \ \ = 6 \times 7\\\\\\x \ \ = 42 \ spoons[/tex]
More about the ratio and the proportion link is given below.
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