Answer:
The height is 10 mStep-by-step explanation:
Area of a trapezoid is given by
[tex]A = \frac{1}{2} (a + b)h[/tex]where
a and b are the bases
h is the height
From the question
A = 135 m²
a = 20m
b = 7 m
Substitute the values into the above formula and solve for the height
That's
[tex]135 = \frac{1}{2} (20 + 7)h \\ 135 = \frac{1}{2} \times 27h \\ 135 \times 2 = 2 \times \frac{1}{2} \times 27h \\ 270 = 27h[/tex]Divide both sides by 27
That's
[tex] \frac{27h}{27} = \frac{270}{27} [/tex]We have the final answer as
10 mHope this helps you
Solve the inequality 9y+5(y+3)<4y−35 and write the solution in interval notation.
Answer:
( −∞,−5) interval notation, and inequality solution y < -5 ,
Step-by-step explanation:
Answer:
y<-5
Your Interval Notation would be an open circle and the arrow would be pointing to the left. (<-- (-6) --- (-5) --- (-4) -->) This will be your # line.
Step-by-step explanation:
9y+5(y+3) < 4y-35
1) Distribute the 5 in 5(y+3).
9y+5y+15 < 4y-35
2) Combine like terms. 9y and 5y.
9y+5y= 14y
14y+15 < 4y-35
3) MY TIP is to keep the variables on the left side, bc if you don't at the end you will have to flip the sign. so.. Subtract 4y from both sides
14y+15 < 4y-35
-4 -4
10y+15 < -35
3) Then you will subtract 15 from both sides
10y+15 < -35
-15 -15
10y < -50
4) Last is to divide to get your variable by itself.
10y < -50
÷10 ÷10
Answer : y < -5
Interval Solution: Open circle, -5 in the middle of the line and you will shade in the numbers to the left. .
suppose that a computer chip company has just shipped 10,000 computer chips to another computer company. Unfortunately, 20 of the chips are defective. Compute the probability that two randomly selected chips or defective using conditional probability
Answer:
20÷10=2. 10,000÷10=1,000
Therefore, the probability of two randomly selected chips being defective is 2 in 1,000 or 2/1,000
Plus help if u can ❤️❤️
Answer:
0
Step-by-step explanation:
Question text
A recipe calls for 5 cups of flour to make 20 biscuits, how many cups of flour do you need to make 100 biscuits.
Order the numbers in each list from least to greatest
-5,-7,0,-1
A. 0,-1,-5,-7
B. -1,-5-7,0
D. -7,-1-5,0
C. 7,-5-1-0
I really need help with this question
Answer:
-7,-5,-1,0
Step-by-step explanation:
The reason behind this is because if you think about it -7 is small number due to it being in the other side of the number line, and same goes with -5 and -1
Round $7.425.07 to the nearest dollars
All we need to do is round up so we don't have any decimal.
Remember:
4 and below rounds down
5 and above rounds up
Since we have the number "0" in the tenths place, its below 0 so we round down.
7,425.07 -> 7,425
Therefore, the answer is [ 7,425 ]
Best of Luck!
solve a=9y+3xy for y
Answer:
y=a/(9+3x)
Step-by-step explanation:
Reverse: 9y+3xy=a
y(9+3x)=a
y=a/(9+3x)
Find three consecutive even integers such that when the first integer is
multiplied by the third integer, the result is 2 more than 5 times the
second integer. [Only an algebraic solution will be accepted.]
Answer:
4, 6, 8
Step-by-step explanation:
Let the three consecutive integers be a, b, and c.
So, first, we know that they are three consecutive even integers. In other words:
[tex]a=2n,b=2n+2,c=2n+4[/tex]
N is any integer, but the 2n ensures that the outcome is even. Since we want to make the subsequent terms also even, we add 2.
We are told that when the first integer (a) is multiplied by the third integer (c), the result is 2 more than 5 times the second integer (b). In other words:
[tex]ac=2+5b[/tex]
Substitute:
[tex](2n)(2n+4)=2+5(2n+2)[/tex]
Distribute both sides:
[tex]4n^2+8n=2+10n+10[/tex]
Add on the right:
[tex]4n^2+8n=10n+12[/tex]
Subtract 10n and 12:
[tex]4n^2-2n-12=0[/tex]
Divide everything by 2:
[tex]2n^2-n-6=0[/tex]
Factor. Find two numbers that when multiplied equals (2)(-6)=-12 and when added equals -1.
3 and -4 works. Thus:
[tex]2n^2-4n+3n-6=0\\2n(n-2)+3(n-2)=0[/tex]
Combine:
[tex](2n+3)(n-2)=0[/tex]
Zero Product Property:
[tex]2n+3=0\text{ or } n-2=0[/tex]
Solve for n:
[tex]n=-3/2\text{ or } n=2[/tex]
So, n is either -3/2 or 2.
That means that a must be either:
[tex]a=2(-3/2)\text{ or } 2(2)[/tex]
Multiply:
[tex]a=-3\text{ or } 4[/tex]
The first answer is not even. So:
[tex]a=4[/tex]
Our first answer is 4.
And our sequence is 4, 6, and 8.
Checking:
4 times 8 is 32.
2 plus 5 times 6 is also 32.
So our answer is correct.
For an apartment complex, the association collects $158,000 from all of its 211 residents. What is the average rent per capita for this apartment complex?
What is the slope of a line perpendicular to the line whose equations is x-y=6
Answer:
m = -1
Step-by-step explanation:
First write the line in slope intercept form y = mx+b where m is the slope and b is the y intercept
x-y = 6
subtract x from each side
-y = -x+6
Multiply each side by -1
y = x-6
The slope is 1
Perpendicular lines have slopes that multiply to -1
m * 1 = -1
m = -1
The slope of the perpendicular line is -1
Eight friends bought a large order of wings. Each of them ate 9 wings. How many total wings were in the order?
Answer:
72 wings
Step-by-step explanation:
[tex]1 \:friend = 9 \:wings\\8 \: friends = x\:wings\\\\[/tex]
Cross Multiply
[tex]x = 9\times 8\\\\x = 72 \:wings[/tex]
The order came with 72 wings. 72 divided by 9=8, 8 times 9=72
2 Blood sugar levels are normally distributed with a mean of 100 milligrams per deciliter and a standard deviation of 10 milligrams per deciliter. Sam's blood sugar is 85 milligrams per deciliter. What is his Z-score? * (2 Points) O 1.5 0 -1.5 O 15 010
Solve for x
x - 7 = 8
Answer: x = 15
Step-by-step explanation: In this problem, since 7 is being subtracted
from x, add 7 to both sides of the equation to get x by itself.
On the left side, -7 + 7 will cancel out and
on the right side, 8 + 7 simplifies to 15.
So x = 15.
The value of x in the given equation x - 7 = 8 is 15.
Given that an equation x - 7 = 8, we need to solve for x.
To solve for x in the equation x - 7 = 8, you want to isolate x on one side of the equation.
Follow these steps:
Step 1: Add 7 to both sides of the equation to isolate x on the left side:
x - 7 + 7 = 8 + 7
Simplifying the left side, the -7 and +7 cancel out, leaving:
x = 15
Step 2: Check your solution by substituting the value of x back into the original equation:
x - 7 = 8
Substitute x with 15:
15 - 7 = 8
Simplify the left side:
8 = 8
Since the left side equals the right side, we have verified that x = 15 is indeed the correct solution for the equation.
Hence, the answer is x = 15.
Learn more about equation click;
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Multiply 39.341 × 0.72 = _____ Numerical Answers Expected!
Answer:
28.32
Step-by-step explanation:
multply them with a calculator, then take away the numbers you dont need
Help me please 2(x-4) = 6x - 6
Answer:
-1/2
Step-by-step explanation:
2(x-4)=6x-6
2x-8=6x-6
2x-6x-8=-6
-4x-8=-6
-4x=-6+8
-4x=2
x=2/-4
simplify
x=-1/2
Answer:
[tex]x = -\frac{1}{2}[/tex]
I hope this helps!
What is the value of r in the equation 3r − 6 = 18?
6
8
18
24
Answer:
8
Step-by-step explanation:
3 [tex]x[/tex] 8 = 24
24-6=18
so its 8
The product of two whole number is 462 and their sum is 43. What are the two numbers?
Answer:
21 and 22
Step-by-step explanation:
Let the two whole numbers be a and b.
Their product is 462. Hence, we can write that:
[tex]ab=462[/tex]
Likewise, because their sum is 42:
[tex]a+b=43[/tex]
This yields a system of equations:
[tex]\displaystyle \begin{cases} ab = 462 \\ a + b = 43 \end{cases}[/tex]
We can solve the system using substitution.
Isolating one variable in the second equation yields:
[tex]a=43-b[/tex]
From substitution:
[tex](43-b)(b)=462[/tex]
Distributing yields:
[tex]-b^2+43b=462[/tex]
Solve for b by factoring:
[tex]\displaystyle \begin{aligned} b^2 - 43d & = -462 \\ \\ b^2 - 43d + 462 & = 0 \\ \\ (b-21)(b-22) &= 0 \\ \\ b = 21 \text{ or } b & = 22 \end{aligned}[/tex]
Solve for a:
[tex]\displaystyle \begin{aligned} a& =43-(21) & \text{ or } a& =43-(22) \\ a&=22&\text{ or } a&=21\end{aligned}[/tex]
In conclusion, the two whole numbers are 21 and 22.
What is the equation of the line parallel to 3x + 5y = 11 that passes through the point (15, 4)?
Answer:
The answer is
[tex]y = - \frac{3}{5} x + 13[/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
The original line is 3x + 5y = 11
We must first write the equation in the general equation above
So we have
5y = - 3x + 11
Divide both sides by 5
[tex]y = - \frac{ 3}{5} x + \frac{11}{5} [/tex]Comparing with the general equation above
Slope = - 3/5
Since the lines are parallel their slope are also the same
Slope of parallel line = - 3/5
So the equation of the line using point
(15, 4) and slope - 3/5 is
[tex]y - 4 = - \frac{3}{5} (x - 15) \\y - 4 = - \frac{3}{5} x + 9 \\ y = - \frac{3}{5} x + 9 + 4[/tex]We have the final answer as
[tex]y = - \frac{3}{5} x + 13[/tex]Hope this helps you
Answer:D
Step-by-step explanation:Edge
Shawn has a piece of paper that is 26 cm long and 19 cm wide. If he divides the piece of paper into 2 equal sections, what is the area of each section? A. 43 sq cm B. 45 sq cm C. 247 sq cm
Answer:
C
Step-by-step explanation:
26*19=494
494/2=247
which are possible names for the angle
Answer:
[tex] < JHP \\ < H[/tex]
Step-by-step explanation:
[tex] < [/tex]
Note the letter in the number carries the angle I
sign.
According to the diagram, H is the angle
Answer:
The answer to this one is <JHP and <H
Step-by-step explanation:
256 over the square root of 256 select all that apply A: Rational B: Integer C: Whole D: Real
Answer:
A:rational hope this helps mark brainlest
Step-by-step explanation:
ANSWER ASAP
In the diagram shown to the right, mGAF = x-6, mEAF=x+18, and mGAE=72. find the value of x and the numerical values of mGAF and mEAF
find x first 72-18+6=48
now make x=48
48-6=42
now x is 42
42+18=60
now x=60
Thnks!
|Brailiest!!!!!!!!!
You ran 2 miles on Monday,2 miles on Tuesday, 3 miles on Wednesday ,2 miles on Thursday and 4 miles on Friday how many miles did you run during the week
Answer:
13 miles
Step-by-step explanation:
Add all of the number of miles you ran from each day to get your total mileage.
2+2+3+2+4
I need help with 1,2 and 3
Step-by-step explanation:
Hey there!!!
1. Ans.
The formula for quadratic equation,
[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
2. Ans.
When, the quadratic equation is given, in the form of;
[tex]a {x}^{2} + bx + c = 0[/tex]
Then, "a" is the coefficient of x "b" is the coefficient of y. and c is the constant value.
3.Ans.
[tex] \sqrt{ {b}^{2} - 4ac } \: tells \: us \: the \: type \: of \: solutions.[/tex]
Hope it helps..
5-1 + (-3) = 3 + (-1)
Answer: 1=2 so your answer would be false.
Step-by-step explanation:
Answer:
The answer is 1=2 which is false.
Step-by-step explanation:
5-1+(-3)= 3+(-1)
or, 5-1-3 = 3-1
or, 5-4 = 2
or, 1=2
For the EOQ model, which of the following relationships is incorrect?
a. As the order quantity increases, the number of orders placed annually decreases.
b. As the order quantity increases, annual holding cost increases.
c. As the order quantity increases, annual ordering cost increases.
d. As the order quantity increases, average inventory increases.
Answer: As the order quantity increases, annual ordering cost increases
Step-by-step explanation:
The Economic Order Quantity (EOQ) is simply referred to as the amount of units that should be added by a company to its inventory with each order in order to minimize total inventory costs such as order costs, holding costs, and shortage costs.
The incorrect option is that "as the order quantity increases, annual ordering cost increases". It should be noted that ordering costs are simply the expenses that are incurred in order for an order to be created and processed to a supplier. It should be noted that as the ordering quantity increases, it doesn't mean that the annual ordering costs also increase.
Determine the exponential regression of the data below using either a calculator or spreadsheet program. Round the values in the regression equation to two decimals.Then, estimate the y value when the x value is 100. Round your answer to one decimal place. (14,500),(23,320),(37,150),(41,87),(56,40),(70,21)
Answer:
Y = 1148.92(0.94^x) ; Y = 2.4
Step-by-step explanation:
Given the following data :
(14,500),(23,320),(37,150),(41,87),(56,40),(70,21)
X:
14
23
37
41
56
70
Y:
500
320
150
87
40
21
The exponential regression equation is expressed in the form :
Y = AB^x
A = Initial value
B = rate ; x = time
Using the online exponential regression calculator on the data provided :
Y = 1148.92(0.94^x)
Y = prediction
Estimate y, when x = 100
Y = 1148.92(0.94^100)
Y = 1148.92(0.0020548)
Y = 2.360800816
Y = 2.4
Answer:
2.4
Step-by-step explanation:
235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp? PLS DO IT QUICK
Answer:
Number of girls = 90
Number of boys = 125
Number of Adults = 20
Step-by-step explanation:
Let us represent:
The number of girls = g
The number of boys = b
Number of Adults = a
235 people are at RSM summer camp.
Hence,
g + b + a = 235 .......Equation 1
There are 35 more boys than girls, and 70 fewer adults than girls.
b = g + 35
a = g - 70
Hence we substitute g + 35 for b and g - 70 for a in Equation 1
g + b + a = 235 .......Equation 1
g + g + 35 + g - 70 = 235
3g + 35 - 70 = 235
3g - 35 = 235
3g = 235 + 35
3g = 270
g = 270/3
g = 90
Hence, there are 90 girls in the party.
Number of boys is calculated as:
b = g + 35
b = 90 + 35
b = 125
Number of Adults is calculated as:
a = g - 70
a = 90 - 70
a = 20
How many people of each group are at the camp?
Number of girls = 90
Number of boys = 125
Number of Adults = 20
Answer:
There are 90 girls, 125 boys, and 20 adults.
Step-by-step explanation:
Let x be the number of girls. How many boys were there?
x + 35
How many adults were there?
x - 70
We know that 235 people are at RSM summer camp. Use this to make an equation.
x + (x + 35) + (x - 70) = 235
x + x + 35 + x - 70 = 235
3x - 35 = 235
3x - 35 + 35 = 235 + 35
3x = 270
3x ÷ 3 = 270 ÷ 3
x = 90
x, x + 35, x - 70
90, 125, 20
Can someone explain this to me?
Answer:
120/7
Step-by-step explanation:
You cross multiply120=7xDivide both sides x= 120/7The left and right page numbers of an open book are two consecutive integers whose sum is 533. Find the page numbers
Answer:
The page numbers are 266 and 267
Step-by-step explanation:
I divided 533 by 2
Then get 266.5
Then guessed and checked which pages around that value added up to 533
and you get pages 266 and 267