Answer:
Using eliminating method then adding equation 1 and 2 give
X= 4and y =1
A license plate is made of three letters and three numbers. How many different license plates are possible? (Recall there are 26 letters in the alphabet and 10 single digit numbers 0-9).
Using the permutations formula, it is found that: 11,232,000 different license plates are possible
----------------------------------------------------
The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.
----------------------------------------------------
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
----------------------------------------------------
In this question:
3 letters from a set of 26.3 digits from a set of 10.Thus:
[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]
11,232,000 different license plates are possible
A similar problem is given at https://brainly.com/question/16812463
FREE BRAINLY! What is the equation of the line perpendicular to the line y = -3 and passing through the point (2, -1)?
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
We want the equation of the line perpendicular to y=-3.
Notice that y=-3 is a horizontal line.
Therefore, in order to be perpendicular, our new equation must be vertical.
We know that it must pass through the point (2, -1).
Since it must be vertical, it must pass through the x-coordinate.
Therefore, our line must be:
[tex]x=2[/tex]
It passes through (2, -1) and is a vertical line, so it’s perpendicular to y=-3.
Answer:
x=2
Step-by-step explanation:
Determine whether each triangle with sides of 28 yd, 195 yd, and 197 yd is a right triangle
Answer:
yes it is
Step-by-step explanation:
to have a right traingle two sides cannot be equal and the first added and squared cannot be more than the last side squared
A school set a goal to collect at least $360 from a book sale. They have already collected $180. The school receives $3 for each book sold. Write an inequality to show the number of books the school needs to sell to meet their goal.
PLEASE HELP
PART A
Diego deposited $10,000 for 4 years at a rate 6% simple interest. find the amount of interest Diego earned after 4 years.
PART B
If Diego closes his account after the 4 years, how much money will he have total?
Total Amount=
Answer:
Part A=2,400 Part B=12,400
Step-by-step explanation:
The amount of interest Diego earned after 4 years is 2400 and the money Diego have after 4 years is 12400.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Diego deposited $10,000 for 4 years at a rate 6% simple interest
We need to find the interest earned by Diego after 4 years.
Let us find what is 6% of 10000
Convert 6% to decimal value by dividing with 100.
6/100=0.06
Now multiply zero point zero six with 10000
0.06×10000
600
Noe for four years she earned
4×600
2400
2400 is the amount of interest Diego earned after 4 years.
Now let us find the money Diego have after 4 years.
Which is 10000+2400
12400
Hence the amount of interest Diego earned after 4 years is 2400 and the money Diego have after 4 years is 12400.
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Asher reads 2 books a week. Kyla reads 7 books a month. Sawyer reads 90 book a year. Who
reads more books?
Answer:
Asher
Step-by-step explanation:
Answer:
Asher reads more books
Step-by-step explanation:
Asher reads 2 books a week wich is about 102 books a year (because there about 52 weeks in a year)
kyla reads 7 books a month wich is 84 books a years
Sawyer reads 90 books a year
2(-6m - 3) =6(5m - 1) please show work what is m ?
Answer: m=0
Step-by-step explanation: simplify each individual expression first. The left side of the equation is equal to -12m-6, and the right side is equal to 30m-6. Then together, it equals to -12m-6=30m-6. The -6 cancel each other out. M=0
Solve: -2+x=4 Please please answer quickly
Answer:
x = 6
Step-by-step explanation:
-2 + x = 4
x = 4 + 2
x = 6
Thank you :-)
PLS HURRY!!!
A parabola has a vertex at (0,0). The equation for the
directrix of the parabola is x = -4. In which direction does the parabola open?
Answer:
Right.
Step-by-step explanation:
The answer is right on edge2020 I just took the test.
The direction in which the parabola will open is; To the right
What is the equation of a parabola?We are given;
The vertex of the parabola is at (0, 0)
Directrix of the parabola is x = -4
We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;
y² = 4ax
Thus, we can conclude that the parabola opens towards the right.
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Juan rented a chainsaw from Steve's Tools. It cost $19 plus $6 per hour. If Juan paid
$49, then he rented the chainsaw for how many hours?
Answer:
2 hours
Step-by-step explanation:
if you do 19x2 then that is 38 and then you have to add 6 dollars per hour so that would be 2 hours
Steph makes and sells birthday cakes. Each cake costs £54 to make.
She makes a profit of 15% on each cake.
What is the selling price of Steph's birthday cakes?
(2 marks)
£=
The selling price of Steph's birthday cakes such that the profit is 15% will be £62.1.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Cost per cake = £54
15% of £54 = 0.15 x 54 = £8.1
Selling price = £54 + £8.1 = £62.1
Hence "The selling price of Steph's birthday cakes such that the profit is 15% will be £62.1".
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Daisy filled a bucket with 7/6 gallon of rain.water.
later she poured out 1/6 of gallon of of the water. how much water is left in the bucket?
I'll mark you brilliantest
Of two consecutive integers, four times the smaller is 30 more than three times the larger. Find both integers,
Answer:
33 and 34
Step-by-step explanation:
Let the integers be x and x+1 respectively.
4x = 3(x+1) + 30
x = 33
therefore, the integers are 33 and 34
This is a question on forming and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
This is my sister's work, please help. will give brainliest. DON'T GIVE STUPID ANSWERS, I WILL REPORT
Rachel has $1,800 to spend on renting a venue for a party. The available locations to rent for the party cost between $660 and $2,500. This cost includes a base cost, plus a set-up fee that is one-fifteenth of the base cost. The total cost can be modeled by the function shown below, where c represents the base cost of renting a venue.
f(c)=c+1/5c
State the domain of values that represents the base cost for the venues Rachel can afford.
Answer:
618.75 to 1687.50
Step-by-step explanation:
Kim decides to give her old toys to her younger cousins. She gives her cousin Sarah 2/3. Then, she gives her cousin Ryan 2/5 of the remaining toys. She has 6 toys left. How many toys did Kim have to begin
Answer:
30
Step-by-step explanation:
Work backwards:
6 is 3/5 of a number, and that number is 1010 is 1/3 of a number, and that number is 30Check your work:
2/3 of 30=20 toy to Sarah30-20=10 toys left2/5 of 10=4 toys to Ryan10-4=6 toys leftPlease help me with this
Answer:
The answer is s = 1.
Step-by-step explanation:
Opposite sides of a parallelogram are equal so,
3s + 19 = s + 21
3s - s = 21 - 19
2s = 2
s = 1
next,
s + 21 =? 3s + 19
1 + 21 equal to (?) 3(1) + 19
22 = 22
so the answer is correct
Answer:
is the answer you add 19 + 21 give you 40
40
Evaluate the expression shown below and write your answer as a fraction in simplest form.
3
4
+
1
6
4
3
+
6
1
plss help
Answer:
Step-by-step explanation:
the answer would be 11/12
. When 12 is subtracted from 4 times a number, the result is 24. Which equation can be used to find the number?
Answer:
12 + 24 divided by 4
Step-by-step explanation:
12 + 24 is 36, so divide that by 4, that gives you the answer, which is 9
The equation that represents the situation is 12 - 4x = 24. Then the solution of the equation will be negative 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
When 12 is subtracted from 4 times a number, the result is 24.
Let the number be 'x'. Then the equation is given as,
12 - 4x = 24
Simplify the equation, then we have
12 - 4x = 24
- 4x = 24 - 12
- 4x = 12
4x = - 12
x = - 12 / 4
x = - 3
The equation that represents the situation is 12 - 4x = 24. Then the solution of the equation will be negative 3.
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3. You have saved $140 for a new pair of skis. They have a regular price of $189. They have been reduced by 30%. There is a 13% tax as well. a. What is the discount? b. What is the new price? c. What is the tax? d. What was the total price of the shoes, after the discount and tax? e. Do you have enough money?
Answer:
$56.70
$132.30
$17.199
$149.499
No
Step-by-step explanation:
Given that:
Regular price of skis = $189
Discount % = 30%
Amount saved = $140
After sales tax = 13%
a. What is the discount?
Discount amount = Regular price * discount %
Discount amount = $189 * 0.30
Discount amount = $56.70
b. What is the new price?
Regular price - Discount amount
$189 - $56.70
= $132.30
c. What is the tax?
Sales tax = new price * tax %
Sales tax = $132.30 * 0.13
Sales tax = $17.199
d. What was the total price of the shoes, after the discount and tax?
New price + sales tax
= $132.30 + $17.199
= $149.499
e. Do you have enough money?
No
$149.499 > $140
What is the value of f(3) ?
Answer:
f(3)=-60
Step-by-step explanation:
f(3)=5*(3^2)-7(4*3 + 3)
f(3)=5*9 - 7*15
f(3)=45-105
f(3)=-60
Answer: -60
Step-by-step explanation:
f(3) means that you replace the input function of x with 3; So, your equation would look something like this:
5(3)^2 - 7(4(3) +3)
= 5(9) - 7(15)
= 45 - 105
= -60
please need this asap!! will give brainliest and a thanks to fast answers :)
Answer:
15 days
Step-by-step explanation:
Answer:
27 days
Step-by-step explanation:
The function g(x) is a transfomation of the function f(x). If g(x) = 2(x – 3) 2
f(x) = 2(x + 4) then what translation describes the change from f (x) to g(x)?
2
1
Answer:
881 (-6x)
Step-by-step explanation:
Nathan drinks 25 cups of coffee over 5 weeks. How many cups of coffee will Nathan drink in 3 weeks?
Answer: 15
Step-by-step explanation: 5, 10, 15, 20, 25
Answer:
15 cups of coffee in 3 weeks
Step-by-step explanation:
every week Nathan drinks 5 coffees because if we were to do 25 divided by 5 we get 5, and 5 x 5 is 25, so if we did 5 x 3 we would get 15. the 3 represents the amount of weeks.
Claire's car averages 21 miles per gallon of gas. At that rate, how far would it go on 21 gallons? *
Answer:Claire car will go 441 miles on 21 gallons
Step-by-step explanation: 21×21=441
A chef locates a pre-made tuna salad that is nearly identical to the one she makes from scratch in her sandwich shop. To make it from scratch, an $8.25/hour employee needs 20 minutes to prepare the tuna salad. The ingredients cost $12.18 and yield 10 four-ounce servings. The chef can purchase the pre-made tuna salad at $26.99 for a 5# tub. Calculate the cost per portion for the scratch-made and the premade versions. If cost were the only factor, should the chef make or buy this product?
Correct question
A chef locates a pre-made tuna salad that is nearly identical to the one she makes from scratch in her sandwich shop. To make it from scratch, an $8.25/hour employee needs 20 minutes to prepare the tuna salad. The ingredients cost $12.18 and yield 10 four-ounce servings. The chef can purchase the pre-made tuna salad at $26.99 for a 5 pound tub. Calculate the cost per portion for the scratch-made and the premade versions. If cost were the only factor, should the chef make or buy this product?
Answer:
If cost were the only factor, the chef should not make version of the tuna salad from scratch because it is expensive that the premade version
Step-by-step explanation:
For tuna: Made from scratch
The ingredients cost $12.18 and yield 10 four-ounce servings.
10 servings = $12.18
1 serving = x
10 × x = 1 × $12.18
x = $12.18/10
x = $1.218
Hence, 1 four ounce serving cost $1.218
The chef can purchase the pre-made tuna salad at $26.99 for a 5# tub.
5 pound tub salad = $26.99
1 pound tub of tuna salad = x
5 × x = 1 × $26.99
x = $26.99/5
x = $5.398 per pound
Converting to ounces
0.0625 pound = 1 ounce
5 pound = x
x = 5/0.0625
x = 80 ounces
80 ounces of tuna salad = $5.398
4 ounces of tuna salad = x
80 × x = 4 × $5.398
x = 4 x 5.398/80
x = $0.2699
Hence, 1 4 ounce pre made tuna salad cost = $0.2699
Hence, the cost per portion for the scratch-made is $1.218 per 4 ounces servings and the premade versions is $0.2698 per 4 ounce servings
If cost were the only factor, the chef should not make version of the tuna salad from scratch because it is expensive that the premade version
Can someone please explain to me how I got this wrong? The other options in the image are the ones under the questions and I'm rlly confused. Could anyone fully explain it please?
Answer: [tex]-\frac{p}{8}[/tex]
This is the fraction -p/8
====================================================
Explanation:
When we divide by -16, we're really multiplying by -1/16. Fractions and division are very similar ideas.
So we can say,
[tex]2p \div -16 = 2p \times \frac{-1}{16}\\\\2p \div -16 = \frac{2p}{1} \times \frac{-1}{16}\\\\2p \div -16 = \frac{2p(-1)}{1*16}\\\\2p \div -16 = \frac{-2p}{16}\\\\2p \div -16 = \frac{-2p}{2*8}\\\\2p \div -16 = -\frac{p}{8}\\\\[/tex]
The second to last step has a pair of '2's divide and cancel out.
-------------
Another way to think of it is to consider
[tex]\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}[/tex]
The flip from division to multiplication has us apply the reciprocal of the second fraction. In this problem, we have a = 2p, b = 1, c = -16 and d = 1. The steps will be very similar if not identical to what is shown above.
The total bill of a meal at a restaurant is 25x – 115. Five
friends agree to split the cost of the meal equally. What
could you do to find the amount that each person must
pay? Explain.
Answer: Divide the whole equation by 5
Step-by-step explanation: You could divide the whole equation by 5 since there are 5 friends. Once you do that you end with the equation 5x - 23, which is what each friend would pay.
Answer:
Sample response: Factor the GCF of five out of the total bill. Divide both terms of the expression by 5. The result is 5x – 23, which is the expression that can be used to find the amount each person pays.
Step-by-step explanation: (you may want to reword it)
Which of the following is equivalent to 8^(1/3)?
Option 1
Option 2
Option 3
Option 4
(look at photo for answers)
the answer is option 2....
Answer:
Option 2
Step-by-step explanation:
when the power appears as a fraction, take the root of the number based on the denominator of the fraction when numerator is equal to 1
Esteban stands on a dock 1.25 yd above the water. A fish swims below Esteban at -4.61 yd from the surface of the water. How many yards apart are Esteban and the fish?
Answer:
3.36 yards
Step-by-step explanation:
✓From the question, Esteban stands on a dock 1.25 yd above the water which means the distance of Esteban above the water is 1.25 yd
✓A fish swims below Esteban at -4.61 yd from the surface of the water which means the distance of the fish away from the surface is 4.61 yd in opposite direction of Esteban
NOTE: The negative sign only signify direction of the fish which is opposite of Esteban
✓then the distance in yards apart of Esteban and the fish is
=4.61-1.25
=3.36 yards