Step-by-step explanation:
The table is not given, but
The Probability that he selects a prime number = (number of prime number) ÷ (total number of all cards)
And
The probability of selecting a 1 = (total number of 1's)÷(total number of all numbers in the deck).
5/3
Step-by-step explanation:
take the 3 then add it again then you add 3 and get 5/3
A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can a car travel using 1 gallon of gas?
Answer:
16 miles
Step-by-step explanation:
In order to find one gallon of gas, you multiply the 64 by 1/64 which will get you to 1 whole. Now you multiply the 64 by the 1/4 miles which will give you 16 miles.
PLSSS HELP WLL GIVE BRAINLIEST
Answer:
7 hours
y = 0.002 (3500)
y = 7
Step-by-step explanation:
Answer: 7 hours.
Step-by-step explanation:
To solve this, substitute the miles flied (3500) for x in the equation given, and solve for y:
[tex]y = 0.002 *(3500)\\y = 7[/tex]
It will take the airplane 7 hours to fly 3500 miles.
PLEASE HELP WILL GIVE BRAINLIESTT
Answer:
x = 135,
y = 45
Step-by-step explanation:
45 and y are vertical angles. That means they are equal
y = 45
45 and x form a straight line which means they sum to 180
45+x = 180
Subtract 45 from each side
45+x-45 =180-45
x = 135
Find the exact solution of the following quadratic equation by using the Quadratic Formula. x^2-9x=36
Answer:
x = 12 or x = -3
Step-by-step explanation:
Solve for x over the real numbers:
x^2 - 9 x = 36
Subtract 36 from both sides:
x^2 - 9 x - 36 = 0
x = (9 ± sqrt((-9)^2 - 4 (-36)))/2 = (9 ± sqrt(81 + 144))/2 = (9 ± sqrt(225))/2:
x = (9 + sqrt(225))/2 or x = (9 - sqrt(225))/2
sqrt(225) = sqrt(9×25) = sqrt(3^2×5^2) = 3×5 = 15:
x = (9 + 15)/2 or x = (9 - 15)/2
(9 + 15)/2 = 24/2 = 12:
x = 12 or x = (9 - 15)/2
(9 - 15)/2 = -6/2 = -3:
Answer: x = 12 or x = -3
Which has a positive value in Quadrant IV?
Which can be used to describe an equivalent expression for (s Superscript 6 Baseline) Superscript negative 3? Adding the exponents will create an equivalent expression. Dividing the exponents will create an equivalent expression. There are three factors of StartFraction 1 Over s Superscript 6 Baseline EndFraction. There are three factors of StartFraction 1 Over s Superscript 3 Baseline EndFraction.
Answer:
D
Step-by-step explanation:
i took the test
The equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive the equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
The given expression is;
[tex](x^{6} )^{-3}[/tex]
Required to Determine the equivalent expression.
First, we need to evaluate the expression in the bracket:
Apply the following law of indices:
[tex](x^a)^b = x ^{ab}[/tex]
So:
[tex](x^{6} )^{-3}[/tex]
becomes
[tex](x )^{6 \times -3}\\\\[/tex]
[tex](x )^{-18}[/tex]
Hence: the equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].
Learn more about expression here;
https://brainly.com/question/14083225
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Squaring both sides of an equation is irreversible. Is Cubing both sides of an equation reversible? Provide numerical examples to help support your answer.
Answer:
Cubing both sides of an equation is reversible.Step-by-step explanation:
Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.
In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example
[tex]\sqrt[3]{x} =-1[/tex]
We cube both sides
[tex](\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1[/tex]
If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side
[tex]\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1[/tex]
There you have it, cubing both sides of an equation is reversible.
One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?
Answer:.03x=6
Step-by-step explanation x=200 minutes
Answer:
200 minutes
Step-by-step explanation:
To find this, you should first set up an equation. Since you are trying to find the point where both plans cost the same, set them equal to each other. Let x be the cost for both. Write the equation:
[tex]16.95+0.05x=22.95+0.02x[/tex]
We place the x with the cost per minute because this is what you are trying to find. We add the cost per month.
Solve for x. Subtract 16.95 from both sides and simplify:
[tex]16.95-16.95+0.05x=22.95-16.95+0.02x\\0.05x=6+0.02x[/tex]
Subtract 0.02x from both sides:
[tex]0.05x-0.02x=6+0.02x-0.02x\\0.03x=6[/tex]
Divide both sides by 0.03:
[tex]\frac{0.03x}{0.03}=\frac{6}{0.03}\\ x=200[/tex]
At 200 minutes, the cost for both plans would be the same.
Which is the solution to
2x − y = 1
4x + y = 11 ?
A) (−2, 3)
B) (2, 3)
C) (3, 2)
D) (3, −2)
Answer:
B
Step-by-step explanation:
2 x 2 = 4 - 3 = 1
4 x 2 = 8 + 3 = 11
what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (3, 9) (1, 1)
Answer:
The slope of the graph is equal to 4
Step-by-step explanation:
When you do y2-y1 divided by x2-x1 you get the fraction 8/2 however when simplified you get 4, 8/2=4
Answer:
The slope is 4
Step-by-step explanation:
Why? Because the point (3,9) is labeled as x1 and y1 and the point (1,1) is labeled as x2 and y2, which means that the equation is set up as 1-9 / 1-3, which equals -8 / -2 , which turns out to be 4 when it is simplified. :)
Siobhan has two babysitting job offers for the same weekend.The snachez family would like her to babysit from Friday at 6:00 pm through Saturday at 9:30 am.They will pay her $150.The martins would like her to babysit friday night from 5:00 pm to 11:00 pm and will pay her $15 per hour.Wich family is offering to pay her more per hour?Wich is offering to pay her more overall?
Answer:
The Martin family pays $5.33 more per hour
The Sanchez family pays $60 more in total
Step-by-step explanation:
The Sanchez family want her to babysit for 15.5 hours for a total of $150.
To find out the hourly rate you do $150/15.5 which is $9.67 per hour.
The Martin family wants her to babysit for a total of 6 hours for $15 an hour.
To find out the total you do $15 x 6 which is $90.
What is another way to represent 3%?
Answer: 0.03
Step-by-step explanation:
3% in decimal form is 0.03
Answer:
The decimal form, which would be 0.03
People would say the decimal will be 0.3, but that is 30%, so the decimal would be 0.03.
a trapezoid has bases that measure 9cm and 5 cm. the height of the figure is 4cm. what is the area of the trapezoid
Answer:
28cm^2
Step-by-step explanation:
The area of a trapezoid is the bases added divided by two times the height.
(9+5)/2*4=7*4=28
28cm^2
Help me with my assignment if u are brilliant
Answer:
0° and 90°
Step-by-step explanation:
Bearing is simply the angle, clockwise, between the north direction and any other direction;
In the first image (on the left) B is exactly in the north direction as compared to A so the bearing is 0°;
In the other image, B is to the right of A, which is a clockwise rotation of 90° from the north direction.
Please help!!!! AWARDING BRAINLIEST!!
800+150? please tell me
Answer:
800 + 150 = 950
Step-by-step explanation:
The answer is 950 because if you have $800 and your mom gives you $150 more. You will have a total of $950.
Answer:
800+150=950
Step-by-step explanation:
what is the area of this triangle? i’m mostly confused on how to find the height.
Answer:
it 4968
Step-by-step explanation:
because you have to multiply 92 by 54 hopes this helped
Question 3- Please help. Find the area of the sector for the image below:
Answer:
The answer is 16.8 cm^ 2.
Find the area of DUO
Answer:
What do you mean DUO?
Step-by-step explanation:
Multiply the polynomials: (2x^3−4x)(3x^2+2)
6x^5−16x^3+8x
x^5+18x^3−6x
5x^6+11x^3+8x
6x^5−8x^3−8x
PLEASE HELP I"M BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to log Subscript 12 Baseline StartFraction x Superscript 4 Baseline StartRoot x cubed minus 2 EndRoot Over (x + 1) Superscript 5 Baseline EndFraction?
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x times 1)
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline StartFraction x cubed Over 2 EndFraction minus 5 log Subscript 12 Baseline 1
log Subscript 12 Baseline 4 x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x) + 1
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Answer:
[tex]D)4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
(4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Step-by-step explanation:
Given the expression:
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}[/tex]
first apply the division law of logarithm:
[tex]log_{a}x/y=log_{a}x-log_{a}y[/tex]
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}=log_{12}x^4\sqrt{x^3-2}-log_{12}(x+1)^5[/tex]
Next, by addition law:[tex]log_{a}xy=log_{a}x+log_{a}y[/tex]
[tex]=log_{12}x^4+log_{12}\sqrt{x^3-2}-log_{12}(x+1)^5\\\\Log a^m=mLog a, Log \sqrt{x}=log x^{1/2}\\\\ =4log_{12}x+log_{12}(x^3-2)^{1/2}-5log_{12}(x+1)\\\\=4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
Answer:
Its D on edge
Step-by-step explanation:
what is 24% of 135??
Answer:
32.4
135 x 24% = 135 x 0.24 = 32.4
Step-by-step explanation:
Answer:
32.4
Step-by-step explanation:
135 times 24 dived by 100
63x−8≤23 OR −4x+26≥6
Answer:
63x-8<23
63x<23+8
63x < 31
63. 63
x < 0.492
I REEAAALLLYY NEED HELP!!!!!!! PLS
Answer:
3 1/4 inches
Step-by-step explanation:
If you just find the tallest conifer which is 9 1/2 and subtract it from the smallest which is 6 1/4 it equals 3 1/4.
Sammy has 2 pair of jeans, 3 pair of black pants, and 1 skirt. She also has 2 pink shirts, 4 striped shirts, and 2 hooded sweatshirts. How many different outfits can Sammy make?
Answer: 72
Step-by-step explanation:
Ok, in her legs the options are:
2 jeans + 3 black pants + 1 skirt = 6 options.
on her torso the options are:
2 pinks shirts + 4 striped shirts = 6 options.
And on top of that she has:
2 hooded sweatshirts = 2 options.
The total number of combinations is equal to the product of options for each type of garmet; this is:
C = 6*6*2 =36*2 = 72
So she has 72 different outfits.
Answer:
It is 70 becouse of how many clothing ther is and u just mulytly
it tell me if im right or wrong
thanks stay safe
byebye
Step-by-step explanation:
Derive x and y values from given equations solve for x and y. 6x-2y=8 -6x+5y=7
Answer:
6x -2y = 8
-6x+5y = 7
3y = 15
y = 5
6x - 2(5) = 8
6x - 10 = 8
6x = 18
x = 3
(3, 5)
Step-by-step explanation:
Solve for v.
4v = 676
Answer:
v=169
Step-by-step explanation:
[tex]4v=676[/tex]
Divide by 4.
[tex]v=\frac{676}{4}[/tex]
[tex]v=169[/tex]
Hello!
Answer:v = 169
Explanation:Since it is being multiplied (4v), we're going to have to use the opposite operation to solve. The opposite of multiplication is division.
Divide both sides of the equation by 4:
[tex]\frac{4v}{4}[/tex] = [tex]\frac{676}{4}[/tex]
v = 169
Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 111 gallon of gas, to fill the go cart tank. 111 gallon = 231 inches^3
Awnser
8 gallons of cans
What is the value of x in the equation in (x+6)- in (2x-1)
Answer:
x = 7
Step-by-step explanation:
(x + 6) - (2x-1)
= x - 2x + 6 + 1
= -x + 7
x = 7
pays $0.72\$0.72 $0.72 dollar sign, 0, point, 72 in sales tax. The sales tax rate is 6%6\% 6% 6, percent . What is the original price of the bracelet, before tax?
Complete Question
Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%. What is the original price of the bracelet, before tax?
Answer:
$12
Step-by-step explanation:
Let the original price of the bracelet before tax =x
Tax rate =6%
That means:
6% of x =$0.72
0.06x=0.72
Divide both sides by 0.06
x=$12
The original price of the bracelet, before tax is $12.
