The sum in terms of p of four consecutive even integers with p been the smallest is 4(p + 3)
Even numbers are numbers that can be divided into two equal groups and they can be easily divisible by 2 without any remainder.
p is the smallest of the four consecutive even integers. This means p come first and it is the first term of the numbers.
Therefore, the 4 consecutive even integers is represented as follows;
p, p + 2, p + 4, p + 6
So the sum is equal to:
sum = p + p + 2 + p + 4 + p + 6
sum = 4p + 12
sum = 4(p + 3)
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Tire King is having a sale where customers can buy 4 new tires for $ 319.96 . What is the unit price of the tires?
Answer:
each tire is 79.99
Step-by-step explanation:
Answer:
$79.99
Step-by-step explanation:
f(x)= 2/(x+3) find domain
Answer:
x < -3 or x > -3
Marco runs 4 kilometers every morning. He takes 2 minutes for the first 500 meters, 4 minutes for the next 2000 meters, 1 minute for the next 700 meters, and 3 minutes for the rest.
Marco’s average speed for the entire run is__320___ meters per minute. Hint : One kilometer is the same as 1,000 meters.
Answer: 400 meters per minute.
Formula to find average speed: total time / total distance
Total time taken is 2+4+1+3 which is 10 minutes.
Total distance traveled is 4 kilometers.
(Unitary method)
In 10 minutes Marco runs 4 kilometers.
In 1 minute Marco will run 4/10 (0.4)kilometers.
Now to convert 0.4 kilometers to meters,multiply it by 1000.
0.4 * 1000 is 400 meters
so the final answer is he will run 400 meters in 1 minute.
What number is one thousand more than 3,368
An album which originally cost p 900, mark up with 30%. What is the selling price? A. p 970.00 B. p 1070.00 C. p 1170.00 D.p 1270.00
The markup percentage specifies the amount by which the selling price is
raised above the cost price.
The correct option for the selling price is B. p 1,070.00Reasons:
The original cost of the album = p900
The mark up percentage = 30%
Required:
The selling price
Solution:
The percentage mark up is given by the difference between the price at
which an item is for sale and its cost expressed as a percentage.
[tex]\displaystyle Percentage \ mark \ up = \mathbf{\frac{Selling \ price - Cost \ price}{Cost \ price} \times 100}[/tex]
Therefore, we have;
[tex]\displaystyle 30 = \frac{Selling \ price - 900 }{900} \times 100[/tex]
[tex]\displaystyle 0.3 = \frac{Selling \ price - 900 }{900}[/tex]
900 × 0.3 = Selling price - 900
270 = Selling price - 900
Selling price = 900 + 270 = 1,070
The selling price is B. p 1,070.00
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Solve for x please help me ****
Answer:
x =10
Step-by-step explanation:
In a parallelogram, opposite sides are congruent
QT = RS
2x - 10 = x
Add 10 to both sides
2x = x + 10
subtract 'x' from both sides
2x -x = 10
x = 10
What is the range of function g?
Answer:
C
Step-by-step explanation:
This function starts at point (1, 2), so 2 is inclusive. Therefore the range of this function is:
[tex]y \geq 2[/tex]
The function P(t)=25,000(1.1023)t2 can be used to model the population in the town of Madison t years from now. Interpret the function in terms of the context for this situation.
Answer:
A growth function has the following form.
where = Original amount,
r = annual rate of change,
n = number of periods,
t = time in years
Since the time is in years, we need to convert t into days. We know that 1 year = 365 days. So t years = 365t days.
So in this case, n = 365, r = 0.0095.
Then the function is rewritten as follows.
The daily growth rate would be
Step-by-step explanation:
Lets find year wise population for example
let years be 3t=3[tex]\\ \sf{:}\longrightarrow P(3)=25,000(1.1023)3^2[/tex]
[tex]\\ \sf{:}\longrightarrow P(3)=27557.5(9)[/tex]
[tex]\\ \sf{:}\longrightarrow P(3)=248017.5[/tex]
11,046 as a decimal
Answer:
It cant be converted to decimal or fraction while it is a integer
Describe the type of correlation each scatter plot shows. Draw a trend line that
models each data set and find the equation of that trend line.
The correlation coefficients off both the scatter plots are mentioned above.
What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related.The sample correlation coefficient is defined as[tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]
where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of
X and Y.
Given are the scatter plot graphs as shown.
For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8
For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45
Therefore, the correlation coefficients off both the scatter plots are mentioned above.
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21. Here are the ingredients for raspberry ripple ice cream.
250g raspberries
225g caster sugar
2 large eggs
4 large egg yolks
600ml double cream
A mother has 5 litres of cream to make ice cream for a party. Sugar comes in 1kg bags.
How many bags of sugar will be needed?
Answer:
10 bags for 5 litres of cream of ice cream.
2 bags of sugar will be needed.
What are comparing quantities?Comparing quantities is the qualitative relation between two quantities which reflects the relative size of both the quantities.
here, we have,
It is given that,
600ml of cream requires = 225g of sugar
⇒ 1 ml of cream requires = 225/600g of sugar
⇒ 5000ml of cream requires = 225/600 * 5000g of sugar
= 1875g
=1.875 kg
Hence we see that , Sugar comes in 1kg bags.
Similarly, 1.875kg of sugar = 1kg bag + 0.875kg bag
⇒ 2 bags of sugar is needed.
Therefore, 2 bags of sugar will be needed.
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graph it pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
5c + 4f ≥ 200
c + f ≤ 60
c > 0
f > 0
B is the midpoint of AC Find AB, BC and AC.
Step-by-step explanation:
Since B is the midpoint of AC. So,
AB = BC
12x - 12 = 4x + 28
12x - 4x = 28 + 12
8x = 40
x = 40/8
x = 5
Now,
AB = BC = 4(5) + 28
= 20 + 28
= 48 cm
Now
AC = AB + BC
AC = 48 + 48
AC = 96 cm
Find a solution to the inequality x > 4.
A. 8
B. 3
C. 4
D. 0
Answer:
8
Step-by-step explanation:
Isn't it simple because all other numbers are less than 4?
please help me !!! omaths student see the attached question
Answer:
34.64m
Step-by-step explanation:
Tan30= x(height) /60
x=60tan30
=34.64m
2.0,3.1,4.2,5.3 what is the next three numbers and what are they adding by
Answer:
6.4, 7.5, 8.6adding 1.1 each time
I need to know how to get the roots for example what is the root of 2 root 5
Answer:
Square roots are when you multiply the same number by itself like for example, the square root of 5 is 25, because 5*5=25
Step-by-step explanation:
The value of the root of 2√5 is approximately 2.116.
Here, we have,
To find the root of a number, you can use the concept of radicals.
The "root" refers to the inverse operation of raising a number to a power. For example, the square root (√) is the most common root, and it represents finding a number that, when squared, gives the original number.
To find the root of a number, such as the square root (√), you can use the following notation:
√(2 * √(5))
In this case, we have the square root of (2 times the square root of 5).
To simplify this expression further, we can break it down step by step:
Step 1: Simplify the square root of 5:
√(5) = 2.236 (approximately)
Step 2: Substitute the simplified value back into the original expression:
√(2 * 2.236)
Step 3: Simplify the expression:
√(4.472) = 2.116 (approximately)
Therefore, the root of 2√5 is approximately 2.116.
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I NEED HELP PLEASE will give crown
Answer:
hey. use cymath. its easier and youll me able to answer more questions like this. it also shows you the whole process. here look:
Step-by-step explanation:
is this correct ? if not what’s the correct answer?
Answer:
No. The correct answer would be C.
Step-by-step explanation:
AAS: The side cannot be in between the two angles.
ASA: The side is in between the two angles.
GEOMETRY QUESTION NEED HELP ASAP 20 POINTS
Answer:
24 units
Step-by-step explanation:
I dont know if im right but hope this helps!
The following is a linear inequality: y<6x-4
In the graph, will the line be solid or dashed?
1: Solid
2: Dashed
Answer:
it maybe solid
hope I'm correct if not then I'm sorry but I'm pretty sure it is solid
Miranda bought oranges which are sold in a bag of 5 for $2. The next day she bought 20 oranges which was $8. What is the table for this problem? (Create a table with the information above with at least 5 ordered pairs)
Answer:
I think the answer is $170
The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)
Answer:
(1, 3), (2, 6), (3, 9)
Step-by-step explanation:
Dividing the first given ratio by 7 gives ...
7/7 : 21/7 = 1 : 3
Multiplying this by 2 and 3 gives the other ratios you want.
= 2(1) : 2(3) = 2 : 6
= 3(1) : 3(3) = 3 : 9
The equivalent ratios are (1, 3), (2, 6), (3, 9).
-3/10 + 4/15
Solve the above problem
Answer:
-1/30
Step-by-step explanation:
find the lcm of 10 and 15
then solve it
Max rode his bike 40 miles in hours.
Answer:
I don't know what you want to know so I assume you want to find out his miles in minutes:
Divide 40 with 60
Which is 2/3
So Max rode 2/3 miles in a minute
Step-by-step explanation:
Answer:
4 hours if going ten mph and 2 hours if going 20 mph
) 3) What is the difference between explicit and recursive forms of sequences?
Answer:
a recursive formula gives the value of a specific term based on the previous term
Step-by-step explanation:
how can you identify symmetry in a figure?
Answer:
You can identify symmetry by if on both sides it looks the same.
A barrel contained 100 gallons of water. Water leaked out of the barrel at a rate of 4 gallons every
5 days. At this rate, how many days did it take for all 100 gallons of water to leak out of the
barrel?
H 20 days
E 125 days
F 25 days
L 80 days
Answer: It will take 125 day
Step-by-step explanation: 100 divide by 4 = 25 and 25 x 5 = 125
Find the values of the variables in the similar triangles very much high points
I know for a fact that x=2
Answer:
x = 2, m = 3.75, a = 1.25Step-by-step explanation:
Solve by comparing ratios of corresponding sides:
(x + 4 + 2) / (4 + 2) = (3 + 6 + 3)/(6 + 3) (x + 6)/6 = 12/9x + 6 = 8x = 2m/(6 + 3) = 5/(3 + 6 + 3)m / 9 = 5/12m = 9*5/12m = 3.75
a/3 = 5/12a = 3*5/12a = 1.25
I really need help it’s due soon!!! I will be asking more questions soon
Step-by-step explanation:
Yards of red material = 1.75
Yards of blue material = 1.75 x 1.2 = 2.1 yards
So the blue material is 2.1 yards
