A card is drawn from the cards numbered from 8 to 27, find the probability that drawn card is divisible by 6 or 7 without remainder.
Answer:
1/4
Step-by-step explanation:
from 8 to 27, there are 5 number that are divisible by 6 or 7.
=> 12,14,18,21,24
=> number of favourable outcomes = 5
=> numer of possible outcomes = 20
probability = no. of favourable outcomes/ no. of possible outcomes
=> probability = 5/20
=> 5/20 = 1/4
A toy bin contains 12 yellow balls,3 orange balls,and 5 white balls. What is the probability of selecting an orange or a white ball?
A. 3/80
B. 3/20
C. 1/4
D. 2/5
Answer:
D. 2/5
Step-by-step explanation:
Your would add the entire amount of balls in the toy bin. 12+3+5 which equals 20. You would then add the number of white and orange balls 3+5. You would then have 8/20 which simplified is 2/5
3) A rectangular piece of land measures 780 m by 550 m.
Work out the area of the land in:
a square metres
b hectares.
To build a snowman, Victor made three snowballs with diameters of
1
meter (m),
1
.
5
m,
and
2
m.
To the nearest cubic meter, what is the total volume of snow used in the snowman?
Considering the spherical snowballs, the total volume of snow used in the snowman is of 126 m³.
What is the volume of an sphere?The volume of an sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In this problem, there are three spheres, of radius r = 1 m, r = 5 m and r = 2 m, hence:
[tex]V_1 = \frac{4\pi}{3} = 4.19[/tex]
[tex]V_2 = \frac{4\pi \times 5^2}{3} = 104.72[/tex]
[tex]V_3 = \frac{4\pi \times 2^2}{3} = 16.76[/tex]
The total volume, in cubic meters, is of:
V = 4.19 + 104.72 + 16.76 = 125.67.
Rounding, the total volume of snow used in the snowman is of 126 m³.
More can be learned about the volume of an sphere at https://brainly.com/question/25608353
The Marshall Track Team is running a relay race. There are 7 students on the team. The race is ½ of a mile long and each student runs the same distance. How far does each student run? Show your thinking with a drawing, a number line or tape diagram, and an equation. Enter your answer, work and/or explanation in the space provided.
The distance run by each of the seven students is 1/14 miles.
What does division mean?
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
What is the distance run by each student?In order to determine the distance run by each student, we would divided the total miles by the number of students.
Miles run by each student = 1/2÷ 7
1/2 x 1/7 = 1/14 miles
To learn more about division, please check: https://brainly.com/question/13281206
Tom drove to visit a museum in Chicago. He traveled at a constant rate of 50 miles per hour for 2 hours. Then he traveled at a constant rate of 65 miles per hour for 1 hour. What is the total distance Tom traveled to the museum?
O:75
O:90
O:165
O:255
Answer:
165
Step-by-step explanation:
First, we multiply 50 and 2 to find out how much they traveled first, which is 100. And then, multiply 65 and 1 to get 65 for the second part. Add then, to get 165. Hope this helps!
Answer:
The answer is 165 miles.
This is how I solved it:
First I made a chart like the one in the picture
Then I inserted the Rate for each part of the trip. The rate for Part One is 50 miles per hour, and the rate for Part Two is 65 miles per hour.
Next, I would insert the Time for each part of the trip. The time for Part One is 2 hours, and the time for Part Two is 1 hour.
Because we now have the values for r and t for each part of the trip, we need to calculate the distance for each part by using the distance formula, d=r x t, and multiplying the rate and the time.
For Part One, multiply 50 miles per hour x 2 hours; this equals 100 miles. For Part Two, multiply 65 miles per hour times 1 hour; this equals 65 miles.
So, Tom traveled 165 miles to the museum.
Hope this isn't confusing XD
FYI the attachment is just an example from another question so the answers are not the same
A triangle, ABC, has coordinates A (-2, 0), B (-2, 5) and C (-4, 0). What is the length of the shortest side?
Answer: 2 units.
Step-by-step explanation: When you graph the points given, it gives you this shape in the image below. The hypotenuse (longest side of triangle) is found by doing the following:
a^2 + b^2 = c^2, where a and b are the legs (the other sides of the triangle) and c is the hypotenuse.
5^2 + 2^2 = 29.
√ 29 ≈ 5.38, and that is the length of the hypotenuse.
The shortest side is the bottom side, which is 2 units. Therefore, that is your answer.
Let me know if this is right! :)
solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)
Answer:
[tex]\boxed{\sf{y=-5 \quad x=-18}}[/tex]Step-by-step explanation:
The terms x and y must be substituted to isolate one side of the equation.
y=5/6x+10 and -x+6y=-12First, you have to substitute by the y=5/6x+10.
[tex]\sf{-x+6\left(\dfrac{5}{6}x+10\right)=-12}[/tex]
Solve.
[tex]\sf{4x+60=-12}[/tex]
Subtract by 60 from both sides.
4x+60-60=-12-60
Solve.
4x=-72
Divide by 4 from both sides.
4x/4=-72/4
Solve.
Divide the numbers from left to right.
-72/4=-18
x=-18
Substitute: x=-18
[tex]\sf{y=\dfrac{5}{6}\left(-18\right)+10}[/tex]
Solve.
y=5/6(-18)+10=-5
y=-5
Therefore, the solution is y=-5 and x=-18, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
please help me? it is school related i promise
Answer:
$96.25
Step-by-step explanation:
In the morning, this worker was in for a total of 4 hours. Since the wage is $11/hr, we have to multiply 4 by 11.
11 * 4 = 44
In the afternoon, they worked for 4 hours and 45 minutes. Now, we have to multiply 4 3/4 (which is the fraction form of 4 hours and 45 mins) by 11.
11 * 4 3/4 = 52.25
Now, to find the total pay, we add together both the morning and afternoon pays.
44 + 52.25 = 96.25
Therefore, the total pay is $96.25
I hope this helps!! Have a lovely day!! :)
Answer:
$96.25
Step-by-step explanation:
Hours worked in the morning = 12:00 - 8:00
= 4 hours
Hours worked in the afternoon = 17:30 - 12:45
= 4 hours 45 minutes
Total hours worked = 4:00 + 4:45
= 8 hours 45 minutes
[tex]=8\dfrac{45}{60} \ hours\\\\= 8\dfrac{3}{4}\\\\\\= \dfrac{35}{4} hours[/tex]
Wage = [tex]\dfrac{35}{4}*11[/tex]
= $96.25
Which number does point A represent?
А
-3
-2
to
2
Loi
0 -3.5
3
y-2.5
0 2.5
03.5
Answer:
A represents -2.5.......
Answer:
-2.5
Step-by-step explanation:
<------3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3 ---->
When it's negative on the number line the value of a number gets smaller. When it's positive the value gets bigger.
I hope this helps!
When you do this please show the work
Answer:
2) [tex]\displaystyle -9a^3b^5[/tex]
1) [tex]\displaystyle \frac{x^8}{3}[/tex]
Step-by-step explanation:
2) [tex]\displaystyle \frac{(27a^3b^3)(-2ab^4)}{6ab^2} \Rightarrow \frac{(3ab)^3(-2ab^4)}{6ab^2} \\ \\ \boxed{-9a^3b^5} \rightarrow \frac{-54a^4b^7}{6ab^2}[/tex]
1) [tex]\displaystyle \frac{16x^{10}y^2}{48x^2y^2} \Rightarrow \frac{(-4x^5y)^2}{48x^2y^2} \\ \\ \boxed{\frac{x^8}{3}}[/tex]
The Quotient-to-Power Rule states that whenever you are dividng like-terms, you keep the coefficients and deduct the exponents.
I am joyous to assist you at any time.
Work out the value of x
2x
7x
this is a Co-intirior angle
Step-by-step explanation:
The sum of co-interior angle = 180°
Now,
2x + 7x = 180°
9x = 180°
x = 180° ÷ 9
x = 20°
Answer:
x = 20
Step-by-step explanation:
Co-interior angles (also called same-side interior angles) are two angles that are on the same side of the transversal and on the interior of (between) the two parallel lines.
Same-side interior angles theorem: If two parallel lines are cut by a transversal, then the same side interior angles are supplementary (add up to 180º).
Therefore, if 2x and 7x are co-interior:
⇒ 2x + 7x = 180
⇒ 9x = 180
⇒ x = 20
Which values from the set {0, 12, 2.5, 4} make the inequality 8g < 4 true?
a.0
b.1/2
c.2.5
d.4
Answer:
a. 0
Step-by-step explanation:
Which values from the set {0, 12, 2.5, 4} make the inequality 8g < 4 true?
Our inequality:
8g < 4
Substitute each values from the set {0, 12, 2.5, 4} for g, to find which value makes the inequality true.
For 0:
8g < 4
8(0) < 4
0 < 4
This statemen is true, because 0 is less than 4
For 12:
8g < 4
8(12) < 4
96 < 4
This statemen is false, because 96 is NOT less than 4
For 2.5:
8g < 4
8(2.5) < 4
20 < 4
This statemen is false, because 20 is NOT less than 4
For 4:
8g < 4
8(4) < 4
32 < 4
This statemen is false, because 32 is NOT less than 4
Hope this helps!
What is the measure of x? Please help asap!
[tex]4x + x = 180[/tex]
[tex]5x = 180[/tex]
[tex]x = \frac{180}{5} = 36[/tex]
Answer:
36
Step-by-step explanation:
This is a Linear Pair. Adjacent (next to) angles that form a straight line. A good rule of thumb for 90% of Geometry, angle relationships are usually either supplementary or congruent. In this case, since they together form a straight line, they are supplementary.
x + 4x = 180
5x = 180
180/5 = 36
If you plug these numbers in, you have a 36 degree angle and a 144 degree angle (sum of 180). Easy way to check your work if ever unsure.
There are 63 female performers in a dance recital. the ratio of men to women is 5:9. how many men are in the dance recital?
1. What is the magnitude and direction of RS with tail and head points R(4, -6) and S(-2, 1)?
a.9.2 units, 49.4° south of east
b.10.4 units, 40.6 ° south of east
c.9.2 units, 49.4 ° north of west
d. 10.4 units, 40.6 ° north of west
The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C)
How to find the magnitude and the direction of a vectorFirst, we need to determine the expression of [tex]\overrightarrow {RS}[/tex] by vector sum:
[tex]\overrightarrow{RS} = S(x,y) - R(x,y)[/tex]
[tex]\overrightarrow{RS} = (-2, 1) - (4, -6)[/tex]
[tex]\overrightarrow {RS} = (-6, 7)[/tex]
The magnitude and the direction of the vector are determined by Pythagorean theorem and inverse trigonometric functions, respectively:
Magnitude[tex]\|\overrightarrow{RS}\| = \sqrt{(-6)^{2}+7^{2}}[/tex]
[tex]\|\overrightarrow{RS} \| = \sqrt{85}[/tex]
Directionθ = tan⁻¹ (7/-6)
θ ≈ 130.601°
The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C) [tex]\blacksquare[/tex]
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477
Find the surface area and volume of the figure.
(Round to the nearest teeth as needed)
Answer:
Volume;
Let's find the volume of the hemisphere above,
Formula for hemisphere volume:
V = 2/3πr
Where pi(π) is 22/7 or 3.14, and 'r' is the radius.
(extra info:) D/2 = radius
So, diameter in this case is 6,
6/2 = 3 is the radius.
Replace values:-
V = 2/3πr
V = 2/3 x 3.14(3)
V = 2/3 x 9.42
V = 18.84/3
V = 6.28 feet is the volume for the hemisphere.
Now the cylinder's volume,
Cylinder volume formula:
V = π[tex]r^{2}[/tex]h
Where pi(π) is 22/7 or 3.14, 'r' is the radius which is being squared, and 'h' is the height.
Replace values (we figured out radius is 3);
V = π[tex]r^{2}[/tex]h
V = 3.14(3^2) x 10
V = 3.14(9) x 10
V = 28.26 x 10
V = 282.6 feet is the volume of the cylinder.
Add our volumes:-
6.28 + 282.6
= 288.88 feet is our volume.
Surface area;
Now the surface area formula of the cylinder is:
SA = 2πrh(lateral area) + 2π[tex]r^{2}[/tex](area of circle)
Replace values:
SA = 2πrh + 2π[tex]r^{2}[/tex]
SA = 2(3.14) x 10 + 2(3.14) x 3^2
SA = 6.28 x 10 + 6.28 x 9
SA = 62.8 + 56.52
SA = 119.32 is the surface area of the cylinder.
Now the surface area formula of the hemisphere;
SA = 3πr²
Replace values;
SA = 3πr²
SA = 3(3.14) x 3^2
SA = 9.42 x 9
SA = 84.78 is the surface area of the hemisphere.
Add the areas;
119.32 + 84.78
= 204.1 feet is the surface area.
HELP WILL MARK BRAINLIST AND 5 STARS
Answer:
10 feet
Step-by-step explanation:
We are trying to find Madison's height plus Jade's height...
Turn the fractions into improper fractions
So,
5 1/6 = 31/6
4 5/6 = 29/6
31/6 + 29/6 = 10 feet
or
5+4= 10 and 1/6+5/6 = 1
so the answer is 10 feet
PLEASE RATE!! I hope this helps!!!
If you have any questions comment below
Find the missing dimension. Use the scale 1 : 15.
Actual Figure skater Height: 67. 5 in.
Answer:
4.5 inches
Step-by-step explanation:
1/15 of 67.5
This is if you are looking for the proportional height. That's all I can solve with given this info.
help help i need it can you?
Which graph represents the function f(x) = |XI – 4?
Answer:
The graph that is correct is just like the top one that shows on the picture you shared, but instead of being on positive 4 it is on -4
Step-by-step explanation:
HELP ME PLEASE! 20 POINTS!!!
In terms of π, what is the volume of the sphere? Refer to your STAAR 8th Grade Math Reference Sheet for the appropriate formula.
Question 6 options:
360π cubic feet
1800π cubic feet
27000π cubic feet
36000π cubic feet
Answer:
is in the shape of a sphere
diameter = 60 feet
radius = r = 60/2 = 30 feet
Step-by-step explanation:
volume of sphere = 4/3 × π × r³
= 4/3 × π × 30³
=4/3π × 27,000
= 36000π cubic feet
Answer:
36000π cubic feet
Step-by-step explanation:
Given :
Diameter of sphere = 60 feetSolving :
Volume = 4/3πr³But 2r = d or r = d/2Therefore, volume is :⇒ 4/3π(d/2)³⇒ 4/24πd³⇒ 1/6πd³⇒ 1/6 x 60 x 60 x 60 x π⇒ 10 x 3600π⇒ 36000π cubic feetWhich of the following best explains why one graph appears skewed and one graph appears symmetrical? The scale of the box-and-whisker plot does not start at zero. The interval of the box-and-whisker plot is too large. The interval of the stem-and-leaf plot is not consistent. The scale of the stem-and-leaf plot is too small for the set of data.
The statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.
What is a symmetric distribution?A symmetric distribution oftenly refers to the distribution which looks symmetric about a fixed line.
For this case, the missing image is attached below.
The stem leaf plot represents the considered bar plot.
But stem leaf plot seems symmetric whereas the box plot isn't.
This is because the stem and leaf plot is missing '5' in its stem, making the interval inconsistent.
Doing inconsistant graphing isn't allowed as that represents distorted data, as for this case, the data seems symmetric when it isn't.
Thus, the statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.
Learn more about box plot here:
https://brainly.com/question/1523909
Answer:c edge
Step-by-step explanation:
650ft2 divided by 2/3
Answer:
I'm 100% sure the answer is 4.24
Step-by-step explanation:
please mark as BRAINLIEST
find the area of a triangle 4cm height 6cm base
Answer:
12cm²
Step-by-step explanation:
Area of triangle =1/2×h×b
1/2×4×6
2×6
12cm²
hope dis helps!!!!!
In the 2004 Summer Olympics, the U.S. won 11 more medals than Russia. Together they won 195 medals. How many medals did the U.S. win?
Answer:
The U.S. won 101 medals.
Step-by-step explanation:
101
Hope it helped and have a great day!
simplify the expressions by applying the properties of potentiation...
Answer:
[tex] \dfrac{x^5}{y^{10}} [/tex]
Step-by-step explanation:
[tex] \dfrac{x^2y^{-6}}{x^{-3}y^4} = [/tex]
[tex] = x^{2 - (-3)}y^{-6 - 4} [/tex]
[tex] = x^5y^{-10} [/tex]
[tex] = \dfrac{x^5}{y^{10}} [/tex]
PLEASE HELPP QUICK!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
See below.
Step-by-step explanation:
Vertical angles can be found by adding the two degrees, and if they equal 180, they are vertical.
94 and 86
119 and 61
-hope it helps
find the sum of first 40 terms of 11+14+17+...
Answer:
S₄₀ = 2780
Step-by-step explanation:
there is a common difference between consecutive terms in the sequence, that is
14 - 11 = 17 - 14 = 3
this indicates the sequence is arithmetic with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 11 and d = 3 , then
S₄₀ = [tex]\frac{40}{2}[/tex] [ (2 × 11) + (39 × 3) ]
= 20( 22 + 117)
= 20 × 139
= 2780
Hello people ~
Factorise: x^2 + 7x + 12
Step-by-step explanation:
x^2 + (4+3)X + 12
x^2 + 4x + 3X + 12
X (X + 4) + 3 ( X + 4)
( X + 3) (X +4)
Solving steps:
[tex]\sf \rightarrow x^2\:+\:7x\:+\:12[/tex]
breakdown the following
[tex]\sf \rightarrow x^2\:+\:3x + 4x\:+\:12[/tex]
break the expressions into groups
[tex]\sf \rightarrow \left(x^2+3x\right)+\left(4x+12\right)[/tex]
factor the following
[tex]\rightarrow \sf x\left(x+3\right)+4\left(x+3\right)[/tex]
factor the common term: (x+3)
[tex]\rightarrow \sf \left(x+3\right)\left(x+4\right)[/tex]