Answer:
[tex]A = 43.74[/tex]
Step-by-step explanation:
Represent Length with L, Width with W and Perimeter with P
[tex]P = 27[/tex]
[tex]L=x+3[/tex]
[tex]W = \frac{2}{3}(x + 3)[/tex]
Required
Determine the Area
From the perimeter, we need to solve for x;
[tex]P = 2(L + W)[/tex]
Substitute values for P, L and W
[tex]27 = 2(x + 3 + \frac{2}{3}(x+3))[/tex]
[tex]27 = 2(x + 3 + \frac{2}{3}x+2)[/tex]
Collect Like Terms
[tex]27 = 2(3 + 2 + x + \frac{2}{3}x)[/tex]
[tex]27 = 2(5 + \frac{3x + 2x}{3})[/tex]
[tex]27 = 2(5 + \frac{5x}{3})[/tex]
Open bracket
[tex]27 = 10 + \frac{10x}{3}[/tex]
Collect Like Terms
[tex]27 - 10 = \frac{10x}{3}[/tex]
[tex]17= \frac{10x}{3}[/tex]
Solve for x
[tex]x = \frac{3*17}{10}[/tex]
[tex]x = \frac{51}{10}[/tex]
[tex]x = 5.1[/tex]
The Area is then calculated using:
[tex]A = L * W[/tex]
[tex]A = (x + 3)*\frac{2}{3}(x+3)[/tex]
[tex]A = \frac{2}{3}(x+3)^2[/tex]
Substitute 5.1 for x
[tex]A = \frac{2}{3}(5.1+3)^2[/tex]
[tex]A = \frac{2}{3}(8.1)^2[/tex]
[tex]A = \frac{2}{3}*65.61[/tex]
[tex]A = \frac{2*65.61}{3}[/tex]
[tex]A = \frac{131.22}{3}[/tex]
[tex]A = 43.74[/tex]
Hence, the area is [tex]43.71cm^2[/tex]
If a normal distribution has a mean of 62 and a standard deviation of 12, what
is the z-score for a value of 74?
Step-by-step explanation:
N~(62, 12^2)
Use Z-score formula (can find in internet)
[tex] z = \frac{74 - 62}{12} \\ z = \frac{12}{12} \\ z = 1[/tex]
Solve by elimination. 4x+6y=-12 2x+3y=4
Answer:
0 = 20 is false, therefore the system of equations has no solution.
NO SOLUTION
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]
solving the system by the elimination method
[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}2x+3y=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:4x+6y=8[/tex]
[tex]\begin{bmatrix}4x+6y=-12\\ 4x+6y=8\end{bmatrix}[/tex]
subtracting the equations
[tex]4x+6y=8[/tex]
[tex]-[/tex]
[tex]\underline{4x+6y=-12}[/tex]
[tex]0=20[/tex]
0 = 20 is false, therefore the system of equations has no solution.
NO SOLUTION
Please need it finshed i will give brainliest to whoever right.
Answer:
40 + -40 = 0
Step-by-step explanation:
hope this helps!
Answer:
40 + -40 =0 (your answer)
2538494 + -2538494 = 0 (example)
4 + -4 = 0 (example)
-18 + 18 = 0 (example)
-82 + 82= 0 (example)
just as long as the first number and the second number are the same, and one is negative and the other is positive, added together the two numbers will equal zero.
20 of the 80 coffee mugs at Carson's Pancake House are dirty. What percentage of the coffee mugs at the pancake house are dirty?
Answer:
25%
Step-by-step explanation:
20/80 in can be reduced to 1/4 and 1/4 equals 25%.
We have:
[tex]\dfrac{20}{80} = \dfrac{\%} {100}[/tex]
Solving for %:
[tex]\% = \dfrac{20\cdot 100}{80} = 25\%[/tex]
R/ 25% of coffee mugs are dirty.
what’s the equation for this
Hope it work for u
Step-by-step explanation:We can make points from the given figure as ,
1 point =(x1, y1)=(-2, -3)
2nd point =(x2, y2)= (0, -6)
3rd point = (x3, y3)=(2 , -9)
Now the equation of line is,
Y=m X+ c where m is slope and c is constantnow two point formula of slope is ,
m = y2-y1/x2-x1putting points in it we get
m=(-6-(-3))/(0-(-2)
m=-3/2 is slope
Now to find C putt the value of m and 3rd point in equation of line we get
y3=m(x3)+c
-9=(-3/2)(2) +c
C= -9+3
C=-6 is value of c
Now at last putt the value of C and m in equation of line we get the required equation ,
Y=(-3/2)X-6 Ans.........................
2, 4, 3, 6, 5, 10, 9, 16, does anyone know the next 3 numbers and the pattern ??????????????
Answer:
No
Step-by-step explanation:
Amanda buys a book for 24.97, a backpack for 17.23. and a set of markers for 7.55. she gives the cashier 50.00 how much change does amanda get
Answer:
She would get 0.25 cents
Step-by-step explanation:
what you would do is add 24.97, 17.23 and 7.55 together and get a total of 49.75 and subtract that from 50 and get 0.25
please mark me brainliest
Answer:0.25
Step-by-step explanation:
Simplify ( 5^2x7^4 ) 10
Answer:
5^20 • 7^40
Step-by-step explanation:
each exponent needs to multiply each 10.
Answer:
D. [tex]5^{20}[/tex] x [tex]7^{40}[/tex]
Step-by-step explanation:
Original Equation= [tex](5^2 \cdot 7^4)^{10}[/tex]
Apply exponent rule: [tex](a\cdot b) ^n[/tex] = [tex]a^n[/tex] [tex]b^n[/tex]
= [tex](5^2)^{10}[/tex] x [tex](7^4)^{10}[/tex]
Distribute them
= [tex]5^{20}[/tex] x [tex](7^4)^{10}[/tex]
= [tex]5^{20}[/tex] x [tex]7^{40}[/tex]
Hope this helps!
Identify the pattern for the following sequence. Find the next three terms in the sequence. . a. -15, -11, -7, -3, ____, _____, _____,...
A: Subtract 4; -7, -11, -15
B. Add 4; 2, 6, 10
C. Subtract 4; 1, 5, 9
D. Add 4; 1, 5, 9
Please select the best answer from the choices provided.
Answer: c
Step-by-step explanation:
Answer:
B you add 4. a negative plus a positive is a negative. -15 +4 is -11
Daisy used a wooden board for a craft project. The board was 9 feet 4 inches tall. How tall is the board in inches?
Answer:
112
Step-by-step explanation:
A foot is 12 inches so you do 12 times 9 and then plus the four already listed inches
Answer:
112 inches
Step-by-step explanation:
I need help with this problem
how many times greater is 3.4 times 10^5 than 2 times 10^3
Answer:
170
Step-by-step explanation:
3.4*10^5= 34*10000=340000
But, 2* 10^3= 2*1000= 2000
finaly you do 340000/2000=170
So the final answer is 170.
Answer:
170
Step-by-step explanation:
Hope this helped have an amazing day!
X^2 + 6x + 16y - 23 = 0
What is the standard form of the equation?
Answer:
hard!
Step-by-step explanation:
Factor expression completely x^2+6x+9
Rectangle LMNP was dilated using the rule DP,3. Which statements are true? Check all that apply. The length of line segment M'N' is 18 units. The length of segment M'N' is 14 units. The dilation is a reduction. The dilation is an enlargement. The scale factor is One-third. The scale factor is 3.
The given rule of the dilation indicates that the scale factor is 3 which is
larger than one, therefore, given an enlarged image.
The correct options are;
The length of line segment M'N' is 18 unitsThe dilation is an enlargementThe scale factor is 3Methods by which the scale factor is obtainedPlease find attached the possible diagram of rectangle LMNP obtained from a similar question posted online;
L'M' = 12
LM = 4
MN = 6
The rule of the dilation of rectangle LMNP = [tex]D_{p, \, 3}[/tex]
L'M' = 3 × LM
Therefore;
The image following the dilation of the preimage LMNP, which is rectangle L'M'N'P' is larger than LMNP
Therefore;
The dilation is an enlargementThe scale factor is the number with which the preimage dimension is multiplied to get the image, which is 3
The scale factor is 3M'N' = 3 × MN
Therefore;
The length of line segment M'N' = 3 × 6 units = 18 unitsLearn more about scale factor of a dilation here:
https://brainly.com/question/840682
Answer:
a. The length of line segment M'N' is 18 units.
d. The dilation is an enlargement.
f. The scale factor is 3.
Step-by-step explanation:
got it right on ed23
Which is the correct answer?
Note: (if you give me a silly or absurd answer I will report you)
Answer:
D. None are true.
Step-by-step explanation:
f(x)=-2x-1
g(x)=-1/2x+1/2
perpendicular( inverse ) slope = -1
-2*-1/2 = 1, so not perpendicular.
III is wrong.
So, it can't be C.
Since they are not perpendicular, if you place x in one, the other will be wrong, same with the other, so not A or B.
The correct answer is D.
Hope this helps plz hit the crown :D
Melanie’s smartphone has 48 apps. This is 4 times the number of apps Priscilla and Cynthia have altogether on their phones. If Cynthia has 5 apps, how many apps does Priscilla have?
Complete the steps below to solve for the number of apps on Priscilla’s smartphone.
A -Write a numerical expression to represent the number of apps Priscilla and Cynthia have combined. (Do not simplify the expression just yet.)
B -Cynthia has 5 apps. Write a numerical expression that represents the number of apps Priscilla has. Refer to the expression you wrote in part A.
C -Simplify the expression from part B to find the number of apps Priscilla has.
D -You just worked with numerical expressions. Now let's try an equation. Let p be Priscilla’s number of apps. Write an equation in terms of p to represent the problem.
E -Solve the equation you found in part D. What is the value of p? Show your work.
F -You solved the problem using two methods: numerical expressions and an equation with variable p. Did you use the same sequence of operations in both methods?
H -What does your answer to part F imply? Explain.
Two vectors with magnitudes of 6 and 9 have a dot product equal to –27.
Find the angle between the vectors.
150°
120°
60°
30°
Answer: 120
B
Step-by-step explanation: got it right on edge
Answer:
B.) 120
Step-by-step explanation:
I need help please
Answer:
L = 25
Step-by-step explanation:
Let's call the Length x and width x - 15 since the width is 15 less than length
Eric needs 70 of fencing in total, the perimeter of a rectangle is calculated by adding all sides
x + x + (x - 15) + (x - 15) = 70 add like terms
4x - 30 = 70 add 30 to both sides
4x = 100 divide both sides by 4
x = 25
Answer :
Given :
The shape of the yard is rectangularWidth is 15 yards less than the lengthTotal fencing required is 70 feetTo find :
Appropriate equation DimensionsSolution :
We know that for fencing we need to find the perimeter ,
Perimeter of a rectangle => 2 ( length + breadth )Let us assume the value of length be x yards
Width = x - 15 yardsSolving the question we get ,
2 ( x + ( x - 15 ) ) = 702 ( x + x - 15 ) = 702 ( 2x - 15 ) = 704x - 30 = 704x = 100[tex]\sf\implies\:x\:=\:\dfrac{100}{4}[/tex]x = 25Length = 25 yards
Breadth = 25 - 4
21 yardsPLease help me i don't get it
Answer:
150 and -150
Step-by-step explanation:
For question number 2...
You started off with an energy level of 250 and something was added to make it 400.
To figure out what this "something" was, you simply subtract the numbers.
400 - 250 = 150
For question number 3...
You start off with 325 and end with 175. Here, the outcome is smaller or less than what you started with. So, you know that you took away a certain amount of energy. To figure that out, you again subtract.
325 - 175 = 150
To make the equation make sense, you would subtract 150.
So the answer would -150.
Can someone show me how to do this problem and I need help!!
Thank you!!
Answer:
[tex] \frac{6}{19 } [/tex]
Step-by-step explanation:
6 + 5 + 7 + 1 + 0 = 19
help me please !!!??!!?
Answer:
23358.1
Step-by-step explanation:
Answer:
216.2
Step-by-step explanation:
[tex]a^2+b^2=c^2\\\\c=3959+5.9\\\\b=3959\\\\a=x\\\\\\(x)^2+(3959)^2=(3964.9)^2\\\\x^2=(3964.9)^2-(3959)^2\\\\x^2=(3964.9-3959)(3964.9+3959)\\\\x^2=5.9(7923.9)\\\\x\approx 216.2[/tex]
what is the average marks of 215
Answer:
Average marks are 60.❤️❤️❤️❤️
.......a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving, how many servings can be made using 1 gallon of milk? take 1 gallon to be equal to 16 cups. please show the work!
Answer:
128 servings can be made using 1 gallon of milk.
Step-by-step explanation:
Given that:
[tex]1\frac{1}{4}[/tex] cups of milk make 10 servings
[tex]1\frac{1}{4}[/tex] can also be written as 1.25
Ratio of cups of milk to servings = 1.25 : 10
1 gallon = 16 cups
Let,
x be the number of servings made from 1 gallon
Ratio of cups of milk to servings = 16 : x
This is a direct proportion
1.25 : 10 :: 16 : x
Product of mean = Product of extreme
10*16 = 1.25x
160 = 1.25x
1.25x=160
Dividing both sides by 1.25
[tex]\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128[/tex]
Hence,
128 servings can be made using 1 gallon of milk.
What is the nature of roots of x- 9x = 20 ?
a. nonreal
b. real, rational, and equal
c. real, rational, and unequal
d. real, irrational, and unequal
Answer:
Option C
Step-by-step explanation:
To find the nature of the roots we use the Discriminant formula which is:
[tex]D=b^2-4ac[/tex]
and given the equation and compare with the standard quadratic equation
[tex]x^2-9x=20\\x^2-9x-20=0\\ax^2+bx+c=0[/tex]
Here our a is 1 , b is -9 and c is -20 so we plug a, b, c into the Discriminant formula
[tex]D=b^2-4ac\\D=(-9)^2-4(1)(-20)\\D=81+80\\D=161[/tex]
Since D > 0 (greater than zero) our roots are real and unequal for the rational and irrational part we got know the the Discriminant's square root value if it is in decimals the nature of the roots are irrational if the Discriminant's value is a whole number then it is rational and so 161 has a square roots in points which is
[tex]D=\sqrt{161} \\D=12.6885[/tex]
So our answer is real , irrational and unequal which is Option C
There are 4 granola bars. Three friends want to share them evenly.
How much would each friend get? Show your answer in two different ways.
Answer:
4/3 or 1 and 1/3 or 1.33333 repeating
Step-by-step explanation:
you have 4 granola bars and 3 friends and you want to divide them among 3 friends
4/3
Answer:
1.3recuring or 3/4
Step-by-step explanation:
hope it helps
Point G and point H are the same distance form point F. Which coordinates could be the location of point H?
Note: It seems, you missed to add the correct option. But, I am solving the question to clear your concept anways.
Answer:
The coordinates of H are:
(x₂, y₂) = (2, 0)Step-by-step explanation:
Given the points
F(3, 2)G(4, 4)Since Point G and point H are the same distance from point F, therefore the point F is the mid-point of G and H
using the mid-point formula
[tex]m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Since the point F is the mid-point of G and H, so
m = (3, 2)
as
(x₁, y₁) = (4, 4) = G (x₂, y₂) = H = ?Thus, substituting m = (3, 2), (x₁, y₁) = (4, 4) to determine coordinates of the point H (x₂, y₂)
[tex]m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(3,\:2\right)\:=\:\left(\frac{x_2+4}{2},\:\:\frac{y_2+4}{2}\right)[/tex]
so
[tex]\:\:3\:=\:\frac{x_2+4}{2}[/tex]
[tex]x_2+4=6[/tex]
subtract 4 from both sides
[tex]x_2+4-4=6-4[/tex]
[tex]x_2=2[/tex]
and
[tex]2=\:\frac{y_2+4}{2}[/tex]
[tex]\:y_2+4\:=\:4[/tex]
subtract 4 from both sides
[tex]y_2=0[/tex]
Thus, the coordinates of H are:
(x₂, y₂) = (2, 0)Note: It seems, you missed to add the correct option.
find 6.5% of 5.00 by multiplying $5 by 0.065. Round to the nearest cent
Answer:
0.32
Step-by-step explanation:
Because I know
Answer:
33 cents.
Step-by-step explanation:
i need to know the slopes of these problems, they all the numbers are 1,2,3,4,5
Answer:
5 is 1
6 is 2/3
7 is 2/3
8 is 2
Please answer this fast!!
Options:
- SSS
- SAS
- ASA
- AAS
- HL
- Not Possible
Answer:
SAS
Step-by-step explanation:
Only two sides are proven to be congruent and the angle in between the two is a corresponding angle, making them congruent.