Pattern A start at 20 and has the rule subtract 2. Pattern b starts at 20 and has the rule subtract 1. Which shows the first several terms of patterns A and b
Answer:
c.
Pattern A: 20, 18, 16, 14, 12, 10
Pattern B: 20, 19, 18, 17, 16, 15
Step-by-step explanation:
Pattern A starts at 20 and the rule is to subtract 2. The terms will therefore be:
= 20, 18, 16, 14, 12, 10
The numbers above were gotten by subtracting 2 from each term for the next term.
Pattern B starts at 20 and the rule is to subtract 1. The terms will be:
= 20, 19, 18, 17, 16, 15
Correct option is therefore option C.
An architect is making a model of a building she is designing. The kitchen will be 8 feet by 14 feet. The scale she is
using for the model is 3 inches = 2 feet.
Answer:
12 inches by 21 inches
Step-by-step
Let's start with the 8 feet
for every 2 feet add three inches you get a total of 12 inches
same for the 14 feet, you get 21 inches
i need help on questions 4, 5, and 6. please help!
Step-by-step explanation:
4) d = √(3-1)²+(7-(-1))²
=√2²+8² = √4+64 =√68
5) AD=29
AB =2x+4,BC=2x,CD=x
AD = 2x+4+2x+x
29=2x+4+2x+x
29=5x+4
29-4=5x
x=25/5
x=5
AB =2x+4
=2(5)+4 =14
BD = BC +CD
= 2x+x
=2(5)+5 =15
How do you solve this? 35=y-6
Answer:
Rewrite the equation as y−6=35 .
y−6=35
Move all terms not containing y to the right side of the equation.
y=41
Step-by-step explanation:
Jayden begins with 25 cups with soil at the greenhouse. Each day he will fill 5 cups more. Write an algebraic expression to represent the number of cups he will have after n days.
Answer:
Total no. of cups = 25+5n
Step-by-step explanation:
Given that,
Jayden begins with 25 cups with soil at the greenhouse.
Each day he will fill 5 cups more.
We need to find an algebraic expression to represent the number of cups he will have after n days.
Here, 5 cups increases with number of days and 25 cups remain fix.
Total number of cups after n days = 25 + 5n
Hence, the required answer is "25+5n".
Aileen has a total debt of $45. She is trying to pay back $6 each week for the next 4 weeks. If Aileen is successful, which amount will represent the change in the amount of her debt?
Answer:
$-21
Step-by-step explanation:
Since she is paying $6 for 4 weeks, in total she will pay:
6 x 4 = $24
She has an initial balance of $-45 Because she is in debt
Therefore you just need to add it all up
-45 + 24 = $-21
Answer:
-24
Step-by-step explanation:
6 x (-4) = 24
At the beginning of summer, Mark has $200 in savings and Ryan has $350. The brothers have mowing jobs set up for the summer. Because Mark is older, he receives $20 for each mowing job and Ryan receives $15. The brothers' parents pay for the fuel used to mow, so all of the money the brothers earn goes to savings. Write two equations, one for Mark and one for Ryan, to represent the money in savings (s) based on the number of mowing jobs (j) Mark and Ryan do. Determine the number of mowing jobs it takes for Mark to have the same amount in savings as Ryan does. Show your work.
Answer:
[tex]m = 200 + 20j[/tex]
[tex]r = 350 + 15j[/tex]
Number of jobs is 30
Step-by-step explanation:
Variable representation
Let Mark's total earnings for moving be m
Let Ryan's total earnings for moving be r
Represent the number of jobs with j
Setup equation
Mark:
[tex]Initial\ Savings = 200[/tex]
[tex]Rate = 20[/tex]
So, the total savings is:
[tex]m = 200 + 20j[/tex]
Ryan
[tex]Initial\ Savings = 350[/tex]
[tex]Rate = 15[/tex]
So, the total savings is:
[tex]r = 350 + 15j[/tex]
To get the number of jobs they save the same amount.
We have:
[tex]m = r[/tex]
Substitute values for m and r
[tex]200+20j = 350+15j[/tex]
Collect Like Terms
[tex]20j - 15j = 350 - 200[/tex]
[tex]5j = 150[/tex]
Divide both sides by 5
[tex]j = \frac{150}{5}[/tex]
[tex]j = 30[/tex]
Hence, the number of jobs is 30
Can someone pls help me with this! I need help!!!
A ramp of 13 feet in length is constructed in front of a house that is at a height of 5 feet from the ground. What is the horizontal distance between the front door and the point where the ramp touches the ground?
The horizontal distance between the front door and the point where the ramp touches the ground will be equal to 12 feet.
What is the Pythagoras' Theorem?According to the Pythagoras theorem, if a triangle has a straight angle (90 degrees), the hypotenuse's square is equal to the total of its other two sides' squares.
As per the given information in the question,
Length of the ramp, h = 13 feet
Height of ramp from the ground, p = 5 feet
Let the horizontal distance is b.
Then, use the equation of Pythagoras' Theorem,
h² = p² + b²
13² = 5² + b²
b² = 169 - 25
b = √144
b = 12 feet.
To know more about Pythagoras' Theorem:
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1) Ben has 15 coins, all dimes and quarters, worth $2.55. How
many dimes and how many quarters does Ben have?
Answer:
Ben has 8 dimes and 7 quarters.
Step-by-step explanation:
Given that:
Number of coins = 15
Worth of coins = $2.55 = 2.55 * 100 = 255 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement,
x+y=15 Eqn 1
10x+25y=255 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=15)
10x+10y=150 Eqn 3
Subtracting Eqn 3 from Eqn 2
(10x+25y)-(10x+10y) = 255 - 150
10x+25y-10x-10y=105
15y=105
Dividing both sides by 15
[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]
Putting y=7 in Eqn 1
x+7=15
x=8
Hence,
Ben has 8 dimes and 7 quarters.
3+(7-5)to the power of 2 x 6
Answer:
27
Step-by-step explanation:
PEMDAS
That is the order that you should solve complex equations
You first do equations in Parentheses
Then exponents
Then Multiplication or Division (whichever comes first in the equation)
Then Addition or Subtraction (again, whichever comes first in the equation)
So we first do the equation in parentheses, 7 - 5
7 - 5 = 2
Then we do the exponent (to the power of 2)
2 to the power of 2 is 4 (fun fact. 2 + 2 is the only equation that is the same in addition form and multiplication form)
Next, we multiply 4 by 6
4 x 6 = 24
And finally addition
3 + 24 = 27
need help with this
just focus on what the question asks and not the background
Answer:
A
Step-by-step explanation:
a drop means subtraction and rising means addition
what is 55 x 25 equaled to
Answer:
1375
Step-by-step explanation:
The product 55 x 25 equaled to 1375
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
55 x 25 is equal to 1,375.
To calculate this product, we can multiply the units digit (5) of the two numbers and write it as the units digit of the result.
Then, we multiply the tens digit (5) of 55 by 25 and add any carry-over from the previous step (0) to get the tens digit of the result.
55
x 25
----
1375
Hence, the product 55 x 25 equaled to 1375
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Graph the solutions of the linear inequality 3x + 3y > 6 .
write the number 100 as a product of it's prime factor in the same way write the factors in order from smallest to largest
Answer:
Thx for my points back
Step-by-step explanation:
Answer:
Thx
Step-by-step explanation:
for free points.....
Use the distributive property to rewrite each expression. 4(5-2y)
Answer:
20-8y is your answer
Step-by-step explanation:
What is the first step in solving the inequality. 32≥5−3x
Answer: Simplify
Step-by-step explanation:
10. What is the value of xin the equation below?
4
2
+
7
2
Which expression is equivalent to 1/4 - 3/4x
Answer:
-3/4x + 1/4
Step-by-step explanation:
evaluate the following by writing it as a difference of two squares first : 104^2 - 96^2
Answer:
(502)2 - (498)2
Step-by-step explanation:
(502)2 - (498)2
Solution:
(502)2 -(498)2
Since the given algebraic expression is in the form of a2 – b2 so, here we will directly apply the formula a2 - b2 = (a + b) (a – b) to evaluate the difference of two squares.
HOPE IT HELPS YOU!!!The difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).
It is evaluated as: 104² - 96² = 1,600
Recall:
The difference of two squares, i.e. x² - y², can be expressed and evaluated as;
x² - y² = (x - y)(x + y)Given:
104² - 96²
The difference can be expressed and evaluated as shown below:
104² - 96² = (104 - 96)(104 + 96)
104² - 96² = (8)(200)
104² - 96² = 1,600Therefore, the difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).
It is evaluated as: 104² - 96² = 1,600
Learn more here:
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Find the radius of a cylinder with a volume of 200 in and a height 5 in.
Answer:
r≈3.57in
Step-by-step explanation:
Solve:
8x-5y=11 4x-3y=5
Answer:
y is 1 and x is 2
Step-by-step explanation:
please mark me as brainliest!!<3
A computer has a sales price of $150, and is advertised for 25% off of the original price.
What is the original price?
Answer:
Original price:$150
Markdown percentage:25%
Sale price:$112.50
Discount savings:$37.50
Step-by-step explanation:
ahmad wrote two numbers. The first number has a 7 in its tenth place. The second number has a 7 with a value that is 1000 time greater than the value of the 7 in the first number. In which place is the 7 in the second number?
Answer:
70000
Step-by-step explanation:
you simply just add all the zeros in the equation.
(side note: that wording messed me up so much)
Type the correct answer in the box. Use numerals instead of words. Ryan earned $528 shoveling driveways in the winter and $374 mowing lawns in the spring. He used $216 of the money he earned to buy a new bicycle. How much does Ryan have now? Ryan has $ now.
plssss helpppp.i need itt nowww
Answer:
cant see from the light retake the photo
Step-by-step explanation:
We learnt this way in Turkey.
Tanya bought a new television for $1,200. The deal was attractive to her because she was required to make interest payments on the $1,200 purchase for the first year. After one year of interest-only payments, how much did Tanya owe on the television?
Answer:
1,200
Step-by-step explanation:
3 which number line best represents 2÷1/4
Answer:
the second choice
Step-by-step explanation:
2 has to be divided into 8 parts in total which is shown by option B
HELP ME PLEASE!!!!!!!!!!!
1. Identify whether this equation has a solution that is positive, negative, or zero:
3x - 5= -3
1. positive
2.negative
3.Zero
I need help with the quadratic formula questions.
Answer:
hope the answer in the picture helps you.