Answer:
42 square units
Step-by-step explanation:
Hello There!
The area of a trapezoid can be found using this formula
[tex]a = \frac{a + b}{2} h[/tex]
where a and b are bases and h is height
if you look at the graph we can see that the lines are counting by 2 units
knowing this we want to find the dimensions
the shown trapezoid has the following dimensions
a =2*2 or 4
b=5*2 or 10
h=3*2 or 6
having found this information we then plug it into the formula
[tex]a = \frac{4+ 10}{2} 6 \\ 4 + 10 = 14 \\ \frac{14}{2} = 7 \\ 7 \times 6 = 42[/tex]
so we can conclude that the area of the trapezoid is 42 square units
TJ's Cat Food plans to use tins that are the shape of cylinders. Find the height of the tin, if its bottom diameter is 12 cm and volume is 757.36cm.
Answer:
6.69 cm
Step-by-step explanation:
Given data
Diameter= 12cm
Radius= 6cm
Volume= 757.36cm^3
The expression for the volume of a cylinder is
V= πr^2h
Substitute
757.36= 3.142*6^2*h
757.36=113.112h
h= 757.36/113.112
h= 6.69 cm
In the following arithmetic sequence, which number is
missing from the series?
(2, 104, 206, 308, _____, 512, 614)
Answer:
410
Step-by-step explanation:
Every sequence 102 gets added
'
-5x + 4y = 7
-5x - 3y = -14
Answer:
1. x = [tex]\frac{4}{5}y + \frac{-7}{5}[/tex]
2. x = [tex]\frac{-3}{5}y + \frac{14}{5}[/tex]
Step-by-step explanation:
A file that is 251 megabytes is being downloaded. If the download is 17.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
42.9 megabytes
Step-by-step explanation:
251 megabytes × 17.1% = 42.921 ≅ 42.9 megabytes (Rounded to the nearest tenth)
Can someone help me find the answer
Multiply (a-b) by (2b-a).
Answer:
-2b(a) - a^2 -2b^2
Step-by-step explanation:
Just use the 'foil' method, meaning that you multiply the first number of one part (a), to the first and second to the next part (2b, -a)
Then, multiply the second number of that part (-b), to the first and to the next part (2b, -a)
You would get: -2b(a) - a^2 -2b^2
Multiplication is the process of multiplying. The multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context. The multiplication of the two given expressions (a-b) and (2b-a) can be done as shown below,
(a-b) × (2b-a)
= a(2b-a) -b(2b-a)
= (a × 2b) - (a × a) - (b × 2b) + (b × a)
= 2ab - a² - 2b² + ab
= -a² -2b² + 3ab
= 3ab -a² -2b²
Hence, the multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².
Learn more about Multiplication here:
https://brainly.com/question/14059007
#SPJ2
7 + 34.5x = 8 1/4
solve for x
Answer:
x=0.03623188
Step-by-step explanation:
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
(sorry if wrong please dont report)
Can someone help me on this plzzz
Answer:
54
Step-by-step explanation:
8^2=64
64-8=56
56-2=54
I hope this is right
D Question 5 5) A bag contains colored paper clips. 2 clips are green 4 clips are orange 2 clips yellow A paper clip will be randomly selected from the bag. What is the probability in decimal form that the paper clip selected will be green?
Answer:
0.125
green
Step-by-step explanation:
Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125
Answer: 0.25
Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25
y=-4x+2 solve for x and y how do i solve this problem
Answer:
y=-4x+2
and
x= y-2/-4
Step-by-step explanation:
you have y,
y= -4x+2
to solve for x, follow this...
y = -4 x + 2
-2 -2
y - 2 = -4 x
/-4 /-4
x= y-2/-4
______________________________________
If they are instead asking for x and y-intercepts, that is different.
If you think I made an error, tell me and I'll fix it, but I can't fix it if you flag my answer.
Please help me out, right answers are favored
Answer:
y<_19x-11
Step-by-step explanation:
<_ it means less than and equal too hope it helps
Please help!!! : )))
Sorry it's flipped lol
Answer:
20-24
Step-by-step explanation:
you can see that when you find the middle of the total data the data set left is in the 20-24 category
hope this helps! :)
The sum of two numbers is 26. The larger number is 5 more than twice the smaller. What are
the two numbers?
Answer:
Step-by-step explanation:
Let n = the smaller of the two numbers, and since the other number is 5 more than twice the smaller number n, then ...
Let 2n + 5 = the second and larger number.
Since the sum of the two unknown numbers is 26, then we can write the following equation to be solved for n as follows:
n + (2n + 5) = 26
n + 2n + 5 = 26
Collecting like-terms on the left, we get:
3n + 5 = 26
3n + 5 - 5 = 26 - 5
3n + 0 = 21
3n = 21
(3n)/3 = 21/3
(3/3)n = 21/3
(1)n = 7
n = 7
Therefore, ...
2n + 5 = 2(7) + 5
= 14 + 5
= 19
CHECK:
n + (2n + 5) = 26
7 + (19) = 26
7 + 19 = 26
26 = 26
Therefore, the two desired numbers whose sum is 26 are indeed 7 and 19.
Answer:
The answer is 7 and 19
Challenge: Jasmine needs 300 centimeters of fabric to make her new dress. The fabric costs $5 for each meter. How much will her fabric cost to make the dress?
Answer: $15
Step-by-step explanation:
Jasmine needs 300 centimeters
$5 each meter
The first step you need to do is convert 300 centimeters to meters, because it’s $5 for each meter.
(You can use the King Henry Chart to help you)
So, 1 centimeter is 1/100 meter
How much is 300 centimeters in meters?
300x1/100
= 300/100
=3
300 cm= 3m
Now, there is $5 for each meter.
How much does it cost for 3 meters?
= 5x3
= $15
It will cost her $15
The volume of a box, V(x), is represented by the function V(x) = x(40-2x)(24-2x), where x represents the width of the box.
What is the domain of V(x)?
A. all real numbers greater than 0
B. all real numbers greater than 0 and less than 12
C. all real numbers greater than 0 and less than 20
D. all real numbers greater than 0 and less than 24
E. all real numbers greater than 0 and less than 40
I gotta do this ASAP. Ty, for helping me if u do!
Answer:
the answer is
Step-by-step explanation:
Puan Hamidah bought satay from a stall for her children. Her eldest and youngest children ate 1/6 and 0.25 of all the satay respectively. The rest of the satay was shared equally between her other 2 children where each person ate 14 sticks of satay. How many sticks of satay did her eldest child eat?
Answer:
12.01 sticks of satay
Step-by-step explanation:
Let
Total satay bought = x
Eldest child ate = 1/6x
Youngest child ate = 0.25x
Total = 1/6x + 0.25x
= 0.167x + 0.25x
= 0.417x
Remaining satay = x - 0.417x
= 0.583x
The rest of the satay was shared equally between her other 2 children where each person ate 14 sticks of satay.
Her and her other two children = 3 people
Sticks of satay pee person = 14
Total sticks eaten by 3 people = 14 × 3
= 42 sticks
0.583x = 42
x = 42/0.583
= 72.04
x = 72.04 sticks
Total satay bought = x = 72.04 sticks
Eldest child ate = 1/6x
= 1/6 * 72.04
= 12.01 sticks of satay
Please help!!! I’ll mark you as brainliest!!!
Answer:
$57
Step-by-step explanation:
→ Do 20% of $80
( 20 × 80 ) ÷ 100 = 16
→ Add 5 to the previous answer
5 + 16 = 21
→ Add 2 to 21
2 + 21 = 23
→ Minus 23 from the total price
80 - 23 = $57
Use a metric scale to measure a 6-inch segment to the nearest millimeter
Answer:
6 inches = 152.4 mm
Step-by-step explanation:
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-x^2+78x-543 y=−x 2 +78x−543
Answer:
978
Step-by-step explanation:
y= -x²+ 78x - 543
y= ax²+ bx + c
a= -1, b= 78, c= -543
max = c -(b²/4a)
= -543 -(78²/-4)
= -543 + 1521
= 978
Answer:
978
Step-by-step explanation:
i checked the anser and it is correct, just want to make sure it's correct :)
2^(4- )8+16 *2
simplify
Answer:
-32
Step-by-step explanation:
A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 6%, what is the total price of the CD, including tax?
A.
$14.42
B.
$15.32
C.
$13.52
D.
$14.62
Answer:
14.42
Step-by-step explanation:
17.00 x .80 20% off means price is 80% (or .80) of price
=13.6
13.6 x .06 = .82 sales tax
13.60 + .82 = 14.42 sales price plus sales tax
PLEASE HELP ME Adam, Chris, and jason have 2 1/2, 3 1/3, and 1/6 pounds of fish, respectively, to bring to the fish fry. how many pounds of fish do they have combined 
Answer:
6 pounds
Step-by-step explanation:
2 1/2 + 3 /1/3 + 1/6 = 6
Find The area of the shaded region
Answer:
Step-by-step explanation:
PLSSS HELP IMMEDIATELY!!!!! only help if u know the answer. i’ll be giving brainiest with the correct answer.
Answer:
sides: scalene (no sides are the same length)
angles: obtuse (an angle is over 90°)
The population of a coty is 100,000 and the annual growth rate is 4.2%. Write an equation to model the population y after x years
Answer: [tex]1,00,000(1+0.042)^x[/tex]
Step-by-step explanation:
Given
The initial population of a city is [tex]P_o=1,00,000[/tex]
The annual growth rate is [tex]4.2\%[/tex]
after 1 year it is
[tex]\Rightarrow P_1=1,00,000+4.2\%\times 1,00,000\\\Rightarrow P_1=1,00,000(1+0.042)[/tex]
after 2 years, it is
[tex]\Rightarrow 1,00,000(1+0.042)+4.2\%\times 1,00,000(1+0.042)\\\Rightarrow 1,00,000(1+0.042)^2[/tex]
after x years it is
[tex]\Rightarrow P_x=1,00,000(1+0.042)^x[/tex]
can someone please help!
find the minimum value of the function f(x)=0.2x^2-x+5.2
to the nearest hundredth.
Answer:
min f(x) = 3.95 (for x= 2.5)
Step-by-step explanation:
vertex (x) = 1/0,4 = 2,5
vertex (y) = 0.2(2.5)^2-2.5+5.2 = 3.95
1. The following data represents the number of calories in seven sandwiches
at the restaurant: {740, 610, 490, 370, 500, 510, 460}. Find the mean
absolute deviation. Round your answer to the nearest hundredth.
Answer:
3710
Step-by-step explanation:
The mean absolute deviation of the seven sandwiches is 85.31 calories.
What is mean?Mean is the average of a group of numbers. The mean absolute deviation (MAD) is calculated using:
[tex]MAD=\frac{\Sigma_{i=1}^n|x_i-mean|}{n} \\\\Mean=\frac{740+610+490+370+500+510+460}{7}= 525.71\\\\MAD=\frac{|740-525.71|+|610-525.71|+|490-525.71|+|370-525.71|+|500-525.71|+\\|510-525.71|+|460-525.71|}{7} \\\\\\MAD=85.31[/tex]
The mean absolute deviation of the seven sandwiches is 85.31 calories.
Find out more on mean at: https://brainly.com/question/1136789
Don’t answer if you don’t know, it’s rude
Word search
Vertical, diagonal.horizontal,
backwards
I’ll appreciate if u find atleast 1
Answer:
down here :)
Step-by-step explanation:
Digits: Go to the last E in Greek alphabet, and go down three spaces. The word runs diagonally into the top right corner.
Fraction: Go one above the N in Repeating. runds up diagonally into the top left corner.
Please answer quick asap
Answer:
1,024
Step-by-step explanation:
GIVING 30 POINTS PLZ ANSWER
the number a is smaller than the number b by 1/5 of b. by what part of a is b bigger than a?
A is smaller by 1/5 of b
So if you add a and 1/5 of b you would have b:
a + 1/5b = b
Solving for a you have:
A = b - 1/5b = 4/5b
A = 4/5b
Solving for b divide both sides by 4/5:
B = 5/4a
Since 4/4 = 1, this means b I’d bigger than a by 1/4
The answer = 1/4