Answer:
y = (4/3)x.
or in standard form it is
-4x + 3y = 0.
Step-by-step explanation:
The slope m = (8-4) / (6-3)
= 4/3
Using the point-slope form of a line:
y - y1 = m(x - x1)
We use m = 4/3, x1 = 3 and y1 = 4:
y - 4 = 4/3(x - 3)
Multiply through by 3:
3y - 12 = 4(x - 3)
3y = 4x - 12 + 12
3y = 4x
y = (4/3) x
or in standard form it is
-4x + 3y = 0.
(PLS I NEED IT TODAY)
A cash register contains coins. • 10 pennies • 11 nickels • 13 dimes • 6 quarters A cashier will randomly choose two coins one at a time without replacement. What is the probability that the cashier will choose a penny first, followed by a dime?
F 13/160
G 1/12
H 13/245
J 7/12
♡ Answer ♡
G) 1/12
♡ Step-by-step explanation ♡
In order to figure out this problem, we have to take a few relatively simple steps.
First, we must count the total number of coins in the cash register. Do not change the value of these coins. Simply take the numbers listed in the problem and add them up. Your process for completing this step should look something like this: 10+11+13+6 equals 40. With this being said, there are 40 coins in the cash register.
Next, we must remember the values of the two coins the question is asking for: pennies and dimes. Keep in mind that, out of all 40 coins, 10 of them are pennies and 13 of them are dimes.
Then, we write the fractions used to find the answer to this problem. In the question, the cashier (hypothetically) draws a penny first, and then a dime. This means a penny is drawn before a dime is drawn. (Although it seems like a miniscule detail, this knowledge is actually something extremely important to remember. This small piece of information can actually change the entire answer if not used properly.)
In this problem, the cashier would choose a single penny out of the 10 in contrast to the total 40 coins. Since there are 10 pennies overall, and 40 coins overall, the probability of choosing a penny first is 10/40.
After we complete the probability of choosing a penny before all else, we must find the probability of choosing a dime after choosing a penny. Since the dime will be chosen after the penny is chosen, one coin will be gone: the chosen penny. So, the total amount of coins within the cash register changes (or more specifically decreases (by 1)) from 40 to 39. However, the amount of dimes, 13, stays the same. With this information in mind, we can write a fraction of 13/39 for the probability of choosing a dime after choosing a penny.
Finally, now that we have both probability fractions, we can figure out the answer to the question. In order to do this, we multiply and simplify both fractions. 10/40*13/39 is 130/1560. 130 ÷ 130 is 1. 1560 ÷ 130 is 12. 1 ÷ 12 can also be written as 1/12. Therefore, the answer to this problem is G) 1/12.
(The paragraph and author's note below are technically optional thought processes and information, but read them if you wish. Although I would recommend reading further, considering another way to solve the question is mentioned, it is entirely you (the reader's) choice.)
You can also check this answer through the other/alternate way of solving this problem: by simplifying both probability fractions before you multiply them. 10/40 can be simplified to 1/4. 13/39 can be simplified to 1/3. After doing this, we multiply both simplified probability fractions in order to find, or in this case check, the answer. 1/4*1/3 is 1/12. 1/12 is the same fraction as the one present in choice G. This is the same answer as the one we previously got. This enforces the idea that G) 1/12 is indeed the answer to this question.
A/N (Author's Note): Although it took quite a while to jot down, this was truly a blast to write and explain! I hope this helped those that needed/wanted it. Have a wonderful week reader(s)!
Find the length of GH
Answer:
y=√(x1-x2)^2+(y1-y2)^2
y=√(-3-(-11))^2+(15-0)^2
y=√8^2+15^2
y=√64+225
y=√289
y=17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
x₁ = -3 and x₂ = -11
y₁ = 15 and y₂ = 0
√(-3 - -11)² + (15 - 0)²
√( 8² ) + ( 15² )
17
Look at this triangle.
B
13 cm
A
8 cm
Work out length BC.
Using the Pythagorean theorem:
BC = sqrt(13^2 - 8^2)
BC - sqrt(169 - 64)
BC = sqrt(105)
The exact dimension is sqrt105
If it needs be be in decimal format, sqrt(105) = 10.24695
Write a number sentence that illustrates the following. A number with two decimal places multiplied by a number with one decimal place. The product has only two nonzero digits. Choose the correct answer below.
A. 0.08 x 0.6 = 0.48
B. 0.08 x 0.6 = 0.0048
C. 0.8 x 0.6 = 0.48
D. 0.08 x 0.6 = 0.048
Answer:
D
Step-by-step explanation:
what is 1 and 8/10 minus two and 2/5?
You get 29 points for answering!
Please answer question correctly and with explanations!
During migration, a gray whale swam 5,040 miles, The whale swam a total of 672 miles during its first 7 days of migration. If the wliale swam at the same rate during the entire migration, how many miles did it swim during the first 30 days of migration?
Answer: 1,176
Step-by-step explanation:
A clothing store buys jeans for $12 and marks them up 200% before selling them to customers. What is the selling price of the jeans? Group of answer choices
Answer:
The selling price = $36
Step-by-step explanation:
The Buying price or Cost (C) = $12Markup = 200%So
Percent Markup on Cost (M) = 200% of 12
= 200/100 × 12
= 2 × 12
= $24
Thus the selling price = Cost (C) + Markup (M)
= $12 + $24
= $36
Therefore, we conclude that:
The selling price = $36
Suppose that the local sales tax rate is 5 %
and you purchase a car for $ 27,400
.
a. How much tax is paid?
b. What is the car's total cost?
Answer:
A: Tax paid us $1370
B: Total cost= car cost + taxes
$27,400+ $1370
=$28,770
Step-by-step explanation:
Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best deal? Store X: 4 cans for $2.48 Store Y: 5 cans for $3.00 *
Answer:
Y=300
X= 4
M= 49x9=4
3x4=3
Step-by-step explanation:
What does k represent in the equation y=kx
A- constant of proportionality
B- dependent variable
C- Krispy Kreme X
D- independent variable
Answer:
D= Independent variable
Step-by-step explanation:
With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What percentage was the discount? Hint: First subtract to find the amount of discount$, then divide it by the original price.
Answer:
14[tex]\frac{2}{7}[/tex]%
Step-by-step explanation:
We can just follow the hint.
Amount of discount = $84 - $72
= $12
Percentage of discount = [tex]\frac{12}{84}[/tex] × 100%
= 14[tex]\frac{2}{7}[/tex]%
Answer:
14.3% discount.
Step-by-step explanation:
Heya! So by the hint that they gave us, I subtracted 72 from 84, and then divided the 12 by 84. The true answer is 0.143 (rounded to the hundredth), getting you close to the initial 12. I hope this helped at least a little bit!
A jar contains only one blue tile, one green tile, one red tile, and one yellow tile. If a tile is chosen at random and then replaced in the jar, and then a second tile is chosen at random, how many of the possible outcomes contain at least one red tile? 1 2 4 7
Answer:
7
Step-by-step explanation:
Bluegreen
Bluered
Blueyellow
Greenblue
Greenred
Greenyellow
Redblue
Redgreen
Redyellow
Yellowblue
Yellowgreen
Yellowred
Answer: 7
Step-by-step explanation:
Took on computer
given the equation y= -1/3x - 10, find the value of y when x is -9
Answer:
-13
Step-by-step explanation:
Because
I also need help with this cuase honestly i'm really bad at math
Answer:
A
Step-by-step explanation:
Angles that form a straight line ( add up to 180 ) are supplementary
angles 1 and 2 / 3 and 4 / 5 and 6 /angles 7 and 8 are all supplementary
Angles 1 and 7 are congruent angles
so angle 2 = 125
Subtract 125 from 180 = 55
180 - 125 = 55 degrees
What is the answer to this equation 12-1/4=
Answer:
11 3/4
Step-by-step explanation:
12-1/4=11 3/4
Answer:
11.75
Step-by-step explanation:
1/4=.25
12-0.25=11.75
Which is the correct answer?
A. The equation has one valid solution and no extraneous solutions.
B. The equation has one valid solution and one extraneous solution.
C. The equation has two valid solutions and no extraneous solutions.
D. The equation has no valid solutions and two extraneous solutions.
Answer:
I think that it is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
guys i need help asap someone good with geomtry???
Answer:
[tex]CF<BC<BF[/tex]
Step-by-step explanation:
[tex]As\ we\ know\ that,\\The\ longest\ side\ in\ a\ triangle\ is\ the\ side\ opposite\ to\ the\ largest\ angle.\\Here\ in\ \triangle BCF,\\\angle B=52\\\angle C=65\\\angle F=63 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\As\ we\ can\ observe\ that\ \angle C\ is\ the\ largest\ followed\ be\ \angle\ F\ and\ \angle B. \\BF\ is\ the\ longest side\ followed\ by\ BC\ and\ CF.\\Hence, \\BF>BC>CF\\Or,\\CF<BC<BF[/tex]
HELP! will give brainliest ONLY if correct. 50 POINTS!!
Identify the type of function graphed to the right.
O linear
O exponential
O other
For an increase of 1 in the x-value, what is the increase in the y-value?
Answer:
A
Step-by-step explanation:
The first part is Linear and 2. The second part is exponential and 3.
Step-by-step explanation:The first graph is linear and they are asking for "2" in the bottom answer box because it grows by 2 every time.
The second graph is exponential growth and they are asking for "3" in the bottom box.
Have a terrific day, Hope this helps!!
Solve and graph the inequality
6X + 32 > -4
Answer:
Simplifying
6x + 32 = 180
Reorder the terms:
32 + 6x = 180
Solving
32 + 6x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-32' to each side of the equation.
32 + -32 + 6x = 180 + -32
Combine like terms: 32 + -32 = 0
0 + 6x = 180 + -32
6x = 180 + -32
Combine like terms: 180 + -32 = 148
6x = 148
Divide each side by '6'.
x = 24.66666667
Simplifying
x = 24.66666667
6x + 32> -4
6x > -4 - 32
6x > -36
x > -6
Which equation matches the function shown below?
Answer:
Step-by-step explanation:
Pick the two easiest points to deal with.
(0,4) and (2,0)
Find m
m = (y2 - y1)/(x2 - x1)
y2 = 4
y1 = 0
x2 =0
x1 = -2
m = (4 - 0)/(0 - - 2)
m = 4/2 = 2
Now use one of the points to find b
y = mx + b Use (0,4)
4 = 2*0 + b
b = 4
The equation you want is y = 2x + 4
Anyone know the answer ?
Answer:
The area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
Step-by-step explanation:
Given
height or length = l = 6x³width = w = 3x³+8x²+xWe know that Area of the rectangle
A=wl
= (3x³+8x²+x) × (6x³)
[tex]=\left(6x^3\right)\times \:3x^3+\left(6x^3\right)\times \:8x^2+\left(6x^3\right)x[/tex]
[tex]=3x^3\left(6x^3\right)+8x^2\left(6x^3\right)+x\left(6x^3\right)[/tex]
[tex]=18x^6+48x^5+6x^4[/tex]
Thus, the area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
please help me asap
Piper invested $4.700 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 19 years?
Answer:
The answer to the nearest CENT is A= 11699.69
The amount of money would be $11.4 in the account after 19 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given that Piper invested $4.700 in an account paying an interest rate of 4.8% compounded continuously.
p = $4.700
r =4.8%
t = 19 years
A = P(1+r/100)ⁿ
Substitute the values of p,r, and t in the formula,
A = 4.700 (1 + 4.8/100)¹⁹
A = 4.700 (1 + 0.048)¹⁹
A = 4.700 (1.048)¹⁹
A = 11.454133
Rounded to the nearest cent
A = 11.4
Therefore, the amount of money would be $11.4 in the account after 19 years.
To learn more about Compound interest click here:
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If Alejandro walks 3 miles in 43 minutes, then how far will Austin walk in 93 minutes?
Answer:
Step-by-step explanation:
43min=3miles
93min=3*93=279/43
austin will walk 6.488miles for 93 minutes
Question
A sphere has a radius of 3.6 centimeters. Find its a. volume and b. surface area. Use 3.14 for at. Round the answers to the
nearest hundredth.
Answer:
195.45 in
Step-by-step explanation:
Step one:
given
sphere has a radius of 3.6 centimeters.
Required:
the volume of a sphere
The formula for the volume is
V=4/3πr^3
Step two:
subsituting we have
V=4/3*3.142*3.6^3
v=4/3*3.124*46.65
v= 586.37/3
v=195.457 in
to the nearest hundreth 195.45 in
Two numbers each have one decimal place. Is it possible for their product to be a whole number? Explain.
Answer: No.
Step-by-step explanation: Unless the tenth place is a 0, a product of a 2 numbers with 1 decimal place cannot have a product for a whole number, even if you went on forever.
When two decimal places add up to one whole, the total of the two decimal places is a whole number. The addition of relocating the decimal point after the multiplication when multiplying decimals is the only difference between multiplying whole numbers and multiplying decimals.
What does the decimal number system mean?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point. 12.5 is a decimal number, for instance.In mathematics, the decimal system—also known as the Hindu-Arabic number system or the Arabic number system—is a positional numeral system that uses 10 as its base and calls for the use of 10 different numbers, including 0, 1, 2, 3, 4, 5, 6, 7, and 8. To indicate decimal fractions, a dot (decimal point) is also necessary.To learn more about decimal refer to:
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15.
Find m of angle B
Cecilia bought 5 games of
bowling for $25 and Frankie
bought 7 games for $42.
Which is the better buy?
I need a legit answer with just a little explanation please it would mean alot to me
Answer: C.
Step-by-step explanation: Plug in x in the formula. Solve for each y by plugging in each x in the formula and seeing if it works. This took me like 3 min to solve
3х + 4 = 14
х = 2y - 12
Answer:
(-2, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = 14
x = 2y - 12
Step 2: Solve for y
Substitution
Substitute in x: 3(2y - 12) + 4y = 14Distribute 3: 6y - 36 + 4y = 14Combine like terms: 10y - 36 = 14Isolate y term: 10y = 50Isolate y: y = 5Step 3: Solve for x
Define equation: x = 2y - 12Substitute in y: x = 2(5) - 12Multiply: x = 10 - 12Subtract: x = -2