Answer:
[tex]\dfrac{7}{9}[/tex]
Step-by-step explanation:
[tex]\dfrac{x+1}{y+1}=\dfrac{4}{5}\\\Rightarrow 5x-4y=-1[/tex]
[tex]\dfrac{x-5}{y-5}=\dfrac{1}{2}\\\Rightarrow 2x-y=5[/tex]
Putting it in matrix form
[tex]\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}[/tex]
From Cramer's rule we have
[tex]x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7[/tex]
[tex]y=\dfrac{\begin{vmatrix}a_1 &c_1 \\ a_2 & c_1\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow y=\dfrac{\begin{vmatrix}5 &-1 \\ 2 & 5\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1 \end{vmatrix}}\\\Rightarrow y=\dfrac{25+2}{-5+8}\\\Rightarrow y=9[/tex]
Verifying the results
[tex]\dfrac{7+1}{9+1}=\dfrac{8}{10}=\dfrac{4}{5}[/tex]
[tex]\dfrac{7-5}{9-5}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
Hence, the fraction is [tex]\dfrac{7}{9}[/tex].
Crayons come in packs of 25 and markers come in packs of 10. Marcus wants to have the same amount of markers and crayons. What is the fewest amount of packages of each he needs to buy to have the same amount of each?
Answer
2 packs of crayons
Step-by-step explanation:
5 packs of markers
Let u= (5, -12) and c= -3. What is || cu ||?
A- -39
B- 39
C- 21
D- 51
Answer:
Step-by-step explanation:
21 I think
Answer:
it's B-39
Step-by-step explanation:
I saw someone else with a gr at explanation and they were correct
An oil rig has a height of 74.98 m visible above water and extends 518.16 m below the surface to the sea floor. What is the total height of the oil rig?
please help i really need help A.S.A.P :)....pls help me....... thanks ..........
Answer:
593.14 m
Step-by-step explanation:
Given that :
Length of rig visible above water surface (sea. Level) = 74.98m
Length of rig below surface of water (sea level) = 518.16 m
The total height of the rig:
The surface of water is usually regarded as a zero point ;
Hence. The total height of rig will be the sum of the height above sea level and the length below water surface
=(74.98 + 518.16) m
= 593.14 m
Use the following excerpt from your printable table of random numbers to estimate the answer to the question below. 46370 55170 53480 49126 89212 75292 67291 88241 37808 38154 What is the probability that a group of 5 random digits will contain at least 3 even digits? (Zero is considered an even digit.) A. 2/5 B. 1/5 C. 4/5 D. 3/5
Based on the random numbers given, the probability that 5 random digits will have at least 3 even digits is D. 3/5.
How many random numbers have at least 3 even digits?Based on the given numbers, the numbers that have at least 3 even digits are 6.
They are: 46370, 53480, 49126, 89212, 88241, and 37808.
The probability out of 5 of at least 3 even numbers is:
= Number of 3 digit numbers / Total random numbers
= 6 / 10
= 3 / 5
Find out more on probability and random numbers at https://brainly.com/question/251701.
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Answer:
9/10
Step-by-step explanation:
Guy above is wrong, I took it just now.
WHO IS EARNING POINTTTSSS?!!!! ♡ ( who is smart )
Answer:
Step-by-step explanation:
yup its b i checked
Please help me with this I will give 15 pts.!!
Answer:
33.3% of 1 liter of water per 1 liter of flour? i don't know just an assumption or guess not really that smart but tried(sorry if it is not right but I hope someone will correct me and also help you!)
8
9
10
3
4
5
A box contains 7 plain pencils and 3 pens. A second box contains 5 color pencils and 5 crayons. One item from each box is chosen at random. What is the
probability that a plain pencil from the first box and a color pencil from the second box are selected?
form
Answer:
60%
Step-by-step explanation:
add them all to 20
add 7 and 5 to get 12
12 over 20 is 60 percent
What is the answer to this problem? -6z - 4 = -22
Answer:
z=3
Step-by-step explanation:
1.−6z−4=−22
2. +4 to both sides
3.-6z=−18
4. Divide -6 by both sides
5. -6z/-6 = -18/-6
6. x=3
**help pls, due soon!**
Answer:c
Step-by-step explanation:
its 8 less which would be -8 and then you have to divide p by 2 because its half so it would be p/2-8
Answer:
Step-by-step explanation:
(C) [tex]\frac{p}{2} - 8[/tex]
The pedigree on the right shows the inheritance pattern for an X-linked recessive disorder. If the female circled in pink married an affected male and had a female child, what is the chance that the child would also be affected? Express your answer in a percentage. % What is the chance that the child would be a carrier? % True or false? The child could be standard.
Based on the information given regarding the inheritance pattern, the chance that the child would also be affected or would be a carrier is 50% respectively.
Pedigree analysisIt should be noted that pedigree analysis simply means the study of heredity and inheritance of genes.
It is used by doctors to analyze the inheritance pattern, and observe any genetic disorder. In this case, the male is affected by the chromosome XY. Similarly, the male married the female, having X-linked recessive disorder.
In this case, the chance that the child would also be affected is 50%, and the chance that the child would be a carrier is 50%.
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Answer:
% 50
% 50
False
Step-by-step explanation:
?
Simplify
4p + 2q - 3p - 3q
P-Q
Answer:
I think maybe 7p+5q
Step-by-step explanation:
A
116°
27°
.Y
37°
Z
A. AZ
B. ZY
C. AY
D. ZW
Answer:
B. ZY
Step-by-step explanation:
The longest side of any triangle will always correlate with the largest angle. Since m∠A = 116° and is biggest, the corresponding side ZY would be the largest side.
12−6x>24 I need help with this
Answer:
-132
Step-by-step explanation:
hope it helps you out
Hi, i need help Pleases.
Answer:
Step-by-step explanation:
look at the cups shown below (images are not drawn to scale). how many more cubic inches of juice will cup B hold than cup A when both are completely full? round your answer to the nearest tenth.
Answer:
18.8 cubic inches
Step-by-step explanation:
✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A
✔️Volume of Cup B = Volume of cylinder = πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 7 in.
Volume of cup B = π*1²*7 = 21.99 in.³
✔️Volume of Cup A = Volume of cone = ⅓πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 3 in.
Volume of cup B = ⅓*π*1²*3 = 3.14 in.³
✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)
Answer:
18.8 cubic inches
Step-by-step explanation:
the first person has it right
What’s the answer?????
Answer:
a
Step-by-step explanation: I think A because it makes the most sence plz tell me if i'm wrong
In circle M, diameters JL and HK each measure 16 centimeters. What is the approximate length of minor arc JH? Round to the nearest tenth of a centimeter. 3.5 cm 6.9 cm 21.6 cm 46.8 cm
Answer:
3.5 cm
Step-by-step explanation:
The computation of the approximate length of minor arc JH is as follows
As in the attached picture we can see that circle M is shown also the minor arc measures 25 degrees
Now the circle length is
= π × 16
= 50.26 cm.
Now this length would be proportional to 360 degrees
Let us assume the minor length arc JH be x
So, the equation would be
50.26 cm ÷ x cm = 360° ÷ 25°
x = 50.26 × 25 ÷ 360
x = 3.5 cm
Answer:
A. 3.5 cm
Step-by-step explanation:
In the picture attached, circle M is shown.
From the picture, minor arc JH measures 25°.
The length of the circle is π*Diameter = π*16 = 50.26 cm. This length is proportional to 360°. To find the length of minor arc JH, we have to use the next proportion:
50.26 cm / x cm = 360° / 25°
x = 50.26*25/360
x = 3.5 cm
Help! (tell me if you can’t see it)
Answer:
B. y=7x+3
Step-by-step explanation:
You find the changes of y over the changes of x. y sub 2 - y sub 1 divided by x sub 2 over x sub 1. So, 17 - 10 over 2 - 1 = 7. 3 is the y-intercept. y=7x+3
Alona bought 3 cans of paint for Php403 p er can. She gave the salesclerk Php1 500. How much change did she get?
6.) What is asked in the problem?
A. amount of her money
B. total amount of the paints
C. amount left in her money
D. amount of each can of paint
7. )What are the given facts?
A. Php1 500, Php403
B. 3 cans of paint, Php 403
C. Php1 500, Php403 and 3 cans of paints
D. 3 cans of paints, Php304 and Php1 500
8. )How much change did she get?
A. Php291 B. Php299 C. Php319 D. Php391
9.) Lilia has six Php100 bills, seven Php50 bills and eleven Php20 bills. How much does she have?
A. Php1 117 B. Php1 170 C. Php1 217 D. Php1 270
10.) Mang Jose is a tricycle driver. He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip. How much does he earn for 21 trips?
A. Php804 B. Php814 C. Php834 D. Php840
Answer:
6) C. amount left in her money
7) C. Php1 500, Php403 and 3 cans of paints
8) A. Php291
9) B. Php1 170
10) D. Php840
Step-by-step explanation:
Alona bought 3 cans of paint for Php403 p er can. She gave the salesclerk Php1 500. How much change did she get?
6.) What is asked in the problem?
Aloha was asked of her change. This means the amount that is left after buying the 3 cans of paint. Hence, option C is correct.
C. amount left in her money
7. )What are the given facts?
The given facts in the question are
The 3 cans of paint that cost Php 403 and the amount she paid the clerk which is Php 1500
Hence, Option C. Is correct.
C. Php1 500, Php403 and 3 cans of paints
8. )How much change did she get?
The amount for change she got is calculated as.
Php 1 500 - 3(Php 403)
= Php 1 500 - Php 1 209
= Php 291
The amount of change she got is Php 291
Option A. Php291 is correct
9.) Lilia has six Php100 bills, seven Php50 bills and eleven Php20 bills. How much does she have?
The question above can be interpreted as:.
Six Php100 bills
= 6 (Php100)
= Php 600
Seven Php50 bills
7 (Php50)
= Php 350
Eleven Php20 bills
11 (Php20)
= Php 220
The amount she she has is calculated as:
Php 600 + Php 350 + Php 220
= Php 1 170
Hence, Option B. Php1 170 is correct
10.) Mang Jose is a tricycle driver. He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip. How much does he earn for 21 trips?
We are told that:
He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip.
Hence, the cost for each trip is
Php 10 × 4 passengers
= Php 40
Hence:
1 trip = Php 40
21 trips = x
Cross Multiply
x = 21 trips × Php 40
x = Php 840
Option D. Php840 is correct
A medium size apple weighs about 225
grams. How
many medium
apples would it take to make 1.5 kilograms?
Answer:
Concept: Unit Conversion and Application
1 apple = 225 gram 225 grams to kg = 0.225 Remember there are 1000 grams in a kg Hence we want to know how many apples make up 1.5 kg 1.5/0.225=6.66 apples But we must be conservative to not underproject Hence 7 applesAnswer:
A. 7Step-by-step explanation:
1 apple weights 225 g
1.5 kg converted to grams = 1500 g1500 / 225 = 6.66 ≈ 7 apples rounded upCorrect option is A. 7
Find the equation of the line that contains the point (-5,-3) and is parallel to the line 5x+6y=11. Write the equation in slope-intercept form,if possible.
Answer:
y = -5x/6 - 33/6
Step-by-step explanation:
The standard form of equation of a line in point slope form is y - y0 = m(x - x0)
m is the slope
(x0, y0) is the point on the line
First we need the slope of the given equation 5x+6y=11.
Rewrite in standard form;
5x+6y=11
6y = -5x + 11
y = -5/6 x + 11/6
Hence the slope is -5/6
Since the unknown line is parallel to this line, they will have the same slope, hence the slope of the required line is -5/6
Substitute m = -5/6 and the point (-5,-3) into the point-slope expression;
y - y0 = m(x - x0)
y - (-3) = -5/6 (x - (-5))
y + 3 = -5/6(x+3)
6(y+3) = -5(x+3)
6y+18 = -5x - 15
6y+5x =-15 -18
6y+5x =-33
Express in slope intercept form
6y = -5x - 33
y = -5x/6 - 33/6
Find the y intercept of the line 1x -4y = -4
Answer:
(0,1)
Step-by-step explanation:
The ratio of right-handed students to left-handed students is 9 to 2. There are 468 right-handed students in the school. How many students are left handed?
Answer: 104 left handed students
Step-by-step explanation:
Ratio: 9:2
We should divide 468 by 9, use the number we find, and then multiply it by 2.
468 / 9 = 52
52 x 2 = 104.
There are 104 left-handed students in the school.
Hope this helps!
Find the measure of each angle indicated
If y = e 4t is a solution to the differential equation d 2 y dt2 −10 dy dt +ky = 0, find the value of the constant k and the general solution to this equation. k = y = (Use constants A, B, etc., for any constants in your solution
Answer:
a. k = 24 b. y = [tex]Ae^{4t} + Be^{6t}[/tex]
Step-by-step explanation:
a. Find the value of the constant k
Since [tex]y = e^{4t}[/tex] is a solution of d²y/dt² -10dy/dt + ky = 0, then [tex]y = e^{4t}[/tex] must satisfy the equation.
So, d²y/dt² = [tex]16e^{4t}[/tex] and dy/dt = [tex]4e^{4t}[/tex]
So, d²y/dt² -10dy/dt + ky = 0
[tex]16e^{4t}[/tex] - 10([tex]4e^{4t}[/tex]) + k([tex]e^{4t}[/tex]) = 0
[tex]16e^{4t}[/tex] - [tex]40e^{4t}[/tex] + [tex]ke^{4t}[/tex] = 0
- [tex]24e^{4t}[/tex] + [tex]ke^{4t}[/tex] = 0
- [tex]24e^{4t}[/tex] = -[tex]ke^{4t}[/tex]
So, k = 24
b. Find the general solution to this equation.
Since k = 24, our equation is
d²y/dt² -10dy/dt + 24y = 0
The characteristic equation is thus
m² - 10m + 24 = 0
Factorizing this we have
m² - 6m - 4m + 24 = 0
m(m - 6) - 4(m - 6) = 0
(m - 6)(m - 4) = 0
m - 6 = 0 or m - 4 = 0
m = 6 or m = 4
Since we have real roots for the characteristic equation, then, the general solution is
y = [tex]Ae^{4t} + Be^{6t}[/tex]
Carlos has 5/8 pounds of pumpkin seeds. He puts the seeds evenly into 10 bags. How much pumpkin seeds are in each bag
Answer:
5/80 = 0.0625
Guys help plss:////////
Answer:
[tex]f[2-f^{-1}(x)]=x[/tex]
Step-by-step explanation:
Given function is,
f(x) = [tex]\frac{x-1}{2}[/tex]
Equation form of the function will be,
y = [tex]\frac{x-1}{2}[/tex]
Interchange x and y,
[tex]x=\frac{y-1}{2}[/tex]
Solve for y,
y = 2x + 1
Therefore, inverse of the function 'f' will be,
[tex]f^{-1}(x)=2x+1[/tex]
Now [tex][2-f^{-1}(x)][/tex] = 2 - [2x + 1]
= -2x + 1
Value of [tex]f[2-f^{-1}(x)][/tex] = f(2x + 1)
From the given function,
f(2x + 1) = [tex]\frac{(2x+1)-1}{2}[/tex]
= x
Therefore, value of [tex]f[2-f^{-1}(x)]=x[/tex]
Ben and Caleb work for a landscaping company. On Monday, they worked on two different walkways. They laid the same number of bricks, but Ben finished first. On Tuesday, they are going to work together to build the brick border of a patio. If they work for the same amount of time on Tuesday, who will likely lay more bricks?
Ben will likely lay more bricks than Caleb. Because Ben has higher efficiency.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
As mentioned in the question,
Ben and Caleb work for a landscaping company. On Monday, they worked on two different walkways.
Since They laid the same number of bricks, but Ben finished first.
Now, On Tuesday, they are going to work together to build the brick border of a patio. they work for the same amount of time on Tuesdays,
But Ben has higher working efficiency so Ben will lay more bricks than Caleb.
Thus, Ben will likely lay more bricks than Caleb.
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Which graph represents the compound inequality? n < –2 or n ≥ 4
Answer:
The answer is C.
Step-by-step explanation:
edge 2020
2 6/8 in simplest form
Answer:
2 3/4
Step-by-step explanation: