The store is 7⁄8 of a mile away from your house. You walked 1⁄5 of a mile towards the store before getting on the bus. If the bus went directly to the store, how many miles long was the bus ride?
There are some red and blue balls in a bag of 21 balls and the probability of picking 2 red balls out in a row is 1/14 how many red balls are there?
Answer:
6 red balls
Step-by-step explanation:
The probability in the first pick
6/21
The probability in the second pick (without replacement)
5/20
the requested probability
(6/21)(5/20) = 30/420
simplification
30/420 = 3/42 = 1/14
Hope this helps
Answer:
6 red balls.
Step-by-step explanation:
If there are x red balls then
probability of 2 red balls
= x/21 * (x - 1)/20 = 1/14
x^2 - x / 420 = 1/14
x^2 - x = 30
x^2 - x - 30 = 0
(x - 6)(x + 5) = 0
x = 6.
Find the quotient.
3/8÷ 2/7
3/28
1 5/16
16/21
1 3/28
Answer:
B
Step-by-step explanation:
[tex] \frac{3}{8} \div \frac{2}{7 } \\ = \frac{3}{8} \times \frac{7}{2 } \\= \frac{21}{16} \\ = 1 \frac{5}{16} [/tex]
6. The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that currently has 60 of them. Write an exponential function and find how many California Tiger Salamanders will be left after 4 years.
7. Factor and solve the following equation 2x2 + x - 21 = 0.
8. Alvin throws the football to a receiver who jumps up to catch the ball. The height of the ball over time can be represented by the quadratic equation -4.9t2 + 7.5t + 1.8 = 2.1 . This equation is based on the acceleration of gravity -4.9 m/s2, the velocity of his pass is 7.5 m/s and releases the football at a height of 1.8 meters, and the height where the receiver catches the ball of 2.1 meters. Put the equation in standard form and then solve by using the quadratic equation.
9. Examine the graph of f(x) and the table that contains values of g(x). Which function has a greater rate of change over the interval [0,2]? Explain your answer.
[tex]\rule{2000pt}{1000000pt}[/tex]
Find the equation for the line bellow
A proportional relationship is formed when y = 24 and x = 32. What is the value of y when x = -2? Explain how you solved the problem.
Answer:
-1.5
Step-by-step explanation:
24 : 32 is the ratio between y and x respectively. To change a number but keep the ratio equal, we must divide/multiply both sides by the same amount.
First, we can say that we want to change x to -2. 32/-2 = -16, so we must divide both sides by -16 to keep the ratio but change x to 02
24 : 32 = 24/(-16) : -2 = -1.5 : -2
A
3
-2
-1
0
2
3
4
В.
The midpoint of AB = ([?],[ ])
Enter
Step-by-step explanation:
hope it will help you and please mark the answer as brillant please.
Elliot spent $16.15 on ground beef at a grocery store. He purchased 3 and 2 over 5 pounds of ground beef. What is the price per pound of the ground beef at that store?
We want to know how much is the price per pound (or unit rate) of ground beef, given that we know the price for Elliot's purchase. We will see that each pound costs $4.75
So we know that (3 + 2/5) lb of ground beef costs $16.15, the cost of a single pound will be given by the quotient between the total cost and the amount purchased, then we need to solve:
[tex]P =\frac{ \$ 16.15}{(3 + 2/5)lb}[/tex]
We can rewrite the denominator as:
(3 + 2/5)lb = (15/5 + 2/5)lb = (17/5) lb
Replacing that we get:
[tex]P =\frac{ \$ 16.15}{(17/5)lb} = \frac{ \$ 16.15*5}{17lb} = \$4.75 \ per \ lb[/tex]
So each pound of ground beef costs $4.75
If you want to learn more about unit rates, you can read:
https://brainly.com/question/2375289
22% of x is 26.4 Find X
Answer:
x=120
Step-by-step explanation:
this is obtained by finding 22% of x, and equating it to the answer as shown below
x *22/100 = 26.4
22x/100 = 26.4
22x = 2640
x =120
PLEASE HELP ME WITH GEOMETRY PLS AND TANKYOU
Answer:
68
Step-by-step explanation:
because 180-44=136
136:2=68 (since TRS=TSR, there is formula)
Will give brainliest!! Thank you
Answer:
All the mentioned can be constructed with the help of piling method. But, for construction of B and D we need a point as well.
Please give brainliest only need 3 more brainliest before next rank!
Step-by-step explanation:
a) Yes, a cube can be formed by stacking polygons. If we stack squares one upon another, then the resulting 3-D figure would be a cube.
b) Yes, a cone that does not include the point can be made by stacking disc. If we stack discs such that the discs are arranges in descending order then the resultant 3-D figure would be a cone that does not include a point.
c) Yes, a pyramid can be formed by stacking polygons.
If we stack squares such that they are arranged in descending order of their side length and stacked by a point on the top. Then the resultant figure would be a pyramid that includes a vertex.
f) There are many types of prism. Fro example a rectangular prism can be constructed by simply stacking rectangle polygon on one another.
e) Yes, a cone can be formed by stacking disc.
We need to stack disks arranged in descending order of their radius stacked with a point on the top. The resulting figure would be a cone that includes a point.
f) Yes, a cylinder can be formed by stacking. We need to stack discs of same radius to get a cylinder.
Answer:
B and D
Step-by-step explanation:
The refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollar and cents?
Answer:
$31.53
31 dollars 53 cents
Step-by-step explanation:
6% is equal to 0.06.
0.06 * 525.50 = 31.53.
Hope this helps
Round 1276 to the nearest ten?
Answer:
1280
Step-by-step explanation:
look at the 6 in the number
is it 4 or less
or is it 5 or more
as the number is 6 ( more than 5)
then you are going to add 1 to the tens
so the final answer is 1280
I really hope this helps and have a great day
7/18 divided 13/36 help
Answer:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
Fraction: 7/18 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
7 is a prime number;
18 = 2 × 3^2;
gcf (7; 2 × 3^2) = 1;
Fraction: 13/36 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
13 is a prime number;
36 = 2^2 × 3^2;
gcf (13; 2^2 × 3^2) = 1;
Reduce (simplify) fractions to their simplest form, online calculator
11. Write the equation of a line passing through the two points. First find the slope and the y-
intercept
(0,3) and (2,6)
Answer:
Y intercept is (0,3)
Step-by-step explanation:
Check out the image
What is the probability of rolling a 4 on a number cube and pulling a red marble out of a bag that contain 3 red, 2 black, and yellow marbles?
Answer:
1/12
Step-by-step explanation:
rolling 4 on a cube= 1outcome/6 total=1/6
pulling red marble= 3 possible red marble/6 total marbles=1/2
1/6*1/2=1/12
Allison sells cosmetics door-to-door. She is paid a monthly commission which is 10% of her first $900 in sales and 15% of the rest of her sales. Last month she sold $8,000 worth of cosmetics. How
much commission did she earn last month?
Answer:
$1155
Step-by-step explanation:
10% of the first $900 is $90.
The rest of her sales is 8000 - 900 = 7100. 7100 * .15 = 1065.
Add them together to get $1155.
Find the values of the variables.
isosceles trapezoid
Side measures are: 4, 2x, 2x + 2 and 4x +3
X=
Answer:
x=-1/2
Step-by-step explanation:
2x+2=4x+3
-1=2x
x=-1/2
1. When two lines cross, the opposite angles are ___________ angles and are congruent. *
Straight Angle
Adjacent Angles
Angle Addition Postulate
Vertical Angles
2. Two angles that share a side and a vertex but do not overlap. *
Straight Angle
Adjacent Angles
Angle Addition Postulate
Vertical Angles
3. Two angles whose measures add up to 180 degrees. *
Angle Addition Postulate
Adjacent Angles
Supplementary Angles
Vertical Angles
Answer:
1. vertical angles
2. Adjacent angles
3. Supplementary angles
Step-by-step explanation:
If A is the center of the circle which of these is/are radii
Answer:
it could be
A to B
A to E
or A to F
all of them would work
Answer:
segments EA, AB, FA
Step-by-step explanation:
These points are all from the circumference, connecting to the radii, A.
Suppose theta is an angle in the standard position whose terminal side is in Quadrant II and tan0= -sqrt3 Find the exact values of the remaining five trigonometric functions of theta
The exact values of the remaining five trigonometric functions of theta are
sinθ = √3/2cosecθ = 2/√3cosθ = -1/2secθ = -2 cotθ = -1/√3Since tanθ = -√3.
The remaining five trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.
The next trigonometric function of θ is cotθ.
cotθ = 1/tanθ
= 1/-√3
= -1/√3.
Also, tan²θ + 1 = sec²θ
Substituting tanθ = -√3 into the equation, we have
(-√3)² + 1 = sec²θ
3 + 1 = sec²θ
sec²θ = 4
secθ = ±√4
secθ = ±2
Since θ is in the quadrant II,
secθ = -2
Also, cosθ = 1/secθ
= 1/-2
= -1/2
Also, cot²θ + 1 = cosec²θ
Substituting cotθ = -1/√3 into the equation, we have
(-1/√3)² + 1 = cosec²θ
1/3 + 1 = cosec²θ
cosec²θ = 4/3
cosecθ = ±√(4/3)
cosecθ = ±2/√3
Since θ is in the quadrant II,
cosecθ = +2/√3
Also, sinθ = 1/cosecθ
= 1/2/√3
= √3/2
So, the exact values of the remaining five trigonometric functions of theta are
sinθ = √3/2cosecθ = 2/√3 cosθ = -1/2secθ = -2cotθ = -1/√3.Learn more about trigonometric functions here:
https://brainly.com/question/4515552
During a sale, a store offered a 15% discount on a camera that originally sold for $690. After the sale, the discounted price of the camera was marked up by 15%. What was the price of the camera after the markup? Round to the nearest cent.
Answer:674.475
Step-by-step explanation:
(690)(0.15)= 103.5
690-103.5= 586.5 (after first markdown)
(586.5)(0.15)= 87.975
586.5+87.975 (Final price after markup)
Which of the following is a correct cosine ratio for the figure?
(refer to the picture below)
A) C = 13∕12
B) C = 5∕13
C) C = 5∕12
D) C = 12∕13
Answer:
D
Step-by-step explanation:
Cosine is adjacent / hypotenuse, so 12/13
Heheh... uhm, yeah, I don't do best with algebraic questions-
Answer:it's a for sure I think
Hemp bell bell help math
Answer:
This is indeed a function!
Step-by-step explanation:
Functions
Acellus
Find the equation of this line.
[?]
-x+ []
y =
Simplify the fractional part.
Answer:
y = -2/5 x +1
Step-by-step explanation:
We know two points on the line (-5,3) and ( 5,-1)
We can find the slope using the slope formula
m = ( y2-y1)/ (x2-x1)
m = ( -1 -3)/( 5- -5)
= (-1-3)/ (-5+5)
-4/10
=-2/5
Using the slope intercept form of the the lint
y = mx+b where m is the slope and b is the y intercept
y = -2/5 x+b
Using one of the point and substitute in for x and y
3 = -2/5 (-5) +b
3 = 2 +b
1 = b
y = -2/5 x +1
The equation of the line passes through the points (0, 1) and (5, -1) will be;
[tex]y = - \dfrac{2}{5}x + 1[/tex]
The equation of a line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 1) and (5, -1).
Now,
Since, The equation of line passes through the points (0, 1) and (5, -1).
So, We need to find the slope of the line.
Hence, the Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - 1) / (5 - 0)
m = - 2 / 5
Thus, The equation of the line with slope - 2/5 is,
[tex]y - 1 = - \dfrac{2}{5} (x - 0)[/tex]
[tex]y - 1 = - \dfrac{2}{5}x[/tex]
[tex]y = - \dfrac{2}{5}x + 1[/tex]
Therefore, The equation of a line is [tex]y = - \dfrac{2}{5}x + 1[/tex].
To learn more about the equation of line visit:
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Okie 3 more questions and I’m done with math please please please
Answer:
6x - 20 = 4x + 50
2x = 70
x = 35
Find BC.
A
B
С
D
Ош
E
=
=
AD = 10.5
AB = 2
CE = 11.5
AE = 15
BC = [?]
=
=
Fnter
Answer:
1.5
Step-by-step explanation:
since the lone segment is 15 so add ab and ce and let bc be x
so 2+x+11.5=15
13.5 +x =15
x=1.5
Two companies working together can clear a parcel of land in 20 hours. Working alone, it would take Company A 2 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone? (Round your answer to the nearest tenth.)
it's took 10 hour maybe what subject is this
Pls help as soon as possible thank you
Answer:
The domain corresponds to the values of the x and the range to the values of the y. So:
D: {-3, 0, 3}
R: {-6, 0, 6}
Answer:
[tex]\huge\boxed{A.}[/tex]
Step-by-step explanation:
Domain:
"Set of values on x-axis"
Domain = {-3,0,3}
Range:
"Set of values on y-axis"
Range = {-6,0,6}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807