Answer:
D (3,1)
Step-by-step explanation:
solving simultaneous equations
Arrange equations
2x+y=7
3x-4y=5
make y side cancell by addition by multiplying by 4 and 1 as shown
4{2x+y=7}
1{3x-4y=5}
8x+4y=28
3x-4y=5
11x=33
x=33/11=3
substitute for x=3 in 3x-4y=5
9-4y=5
4=4y
y=1
Answer:
D(3,1)
Step-by-step explanation:
The given equations are:
[tex]2x+y=7...(1)[/tex]
and
[tex]3x-4y=5...(2)[/tex]
Multiply equation (1) by 4.
[tex]\Rightarrow 8x+4y=28...(3)[/tex]
Add equation (2) and (3)
[tex]\Rightarrow 11x=33[/tex]
Divide through by 11.
[tex]\Rightarrow x=3[/tex]
Put x=3 into equation (1)
[tex]2(3)+y=7[/tex]
[tex]6+y=7[/tex]
[tex]y=7-6[/tex]
[tex]y=1[/tex]
The solution is (3,1)
The correct choice is D
company A charges $50 to come to the house plus $60 per hour company B charges $80 to come to the house plus $50 per hour how many hours will it be for bills to be the same
Answer:
3 hours
Step-by-step explanation:
What is 0.9 divided by 54
El resultado es 0.0166666667
Help me please with my precal! :)
ANSWER
[tex]y = 5x + 5[/tex]
EXPLANATION
Using any two ordered pairs we can find the equation.
Let us use
(2,15) and (5,30).
The slope is
[tex] = \frac{30 - 15}{5 - 2} = \frac{15}{3} = 5[/tex]
The equation is given by:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-15=5(x-2)[/tex]
This implies that,
[tex]y = 5x - 10 + 15[/tex]
The required equation is
[tex]y = 5x + 5[/tex]
The sum of the digits of a two-digit number is 11. The tens digit is one less than three times the ones digit. Find the original number.
Answer:
83
Step-by-step explanation:
8 is one less than 3x3
What is the inverse function of f(x)= 4- x/6
Answer:
[tex]f^{-1}(x) = 6(4-x) = 24-6x[/tex]
Step-by-step explanation:
Let [tex]y=f(x)[/tex] and swap x and y:
[tex]x = 4 - \frac{y}{6}[/tex]
Then, rearranging for y:
[tex]x+\frac{y}{6} = 4[/tex]
[tex]\frac{y}{6}= 4-x[/tex]
[tex]y= 6(4-x) = 24-6x[/tex]
Final answer:
Explaining the inverse function of a given function.
Explanation:
Inverse function of f(x) = 4 - x/6:
Replace f(x) with y: y = 4 - x/6.
Swap x and y: x = 4 - y/6.
Solve for y: y = 24 - 6x.
I need help with 5. And 6. Plsss!!
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(5)
x² + (y - 4)² = 25 ← is in standard form
with centre = (h, k) = (0, 4) → A
(6)
here (h, k) = ( 9, - 5) and r = 1, hence
(x - 9)² + (y - (- 5))² = 1², that is
(x - 9)² + (y + 5)² = 1 ← equation of circle
Which description can be written as the expression 8/21n?
A the quotient of twenty-one times a number and eight
B the product of eight and twenty-one times a number
C the quotient of eight and twenty-one times a number
D the product of twenty-one times a number and eight
Answer with explanation:
We have to describe the rational number in words
[tex]=\frac{8}{21 n}[/tex]
Dividend =8
Divisor =21 n
Quotient
[tex]=\frac{\text{Dividend}}{\text{Divisor}}\\\\=\frac{\text{Eight}}{\text{Twenty one} \times \text{A number}}[/tex]
Option C: → The quotient of eight and twenty-one times a number
Will mark brainliest!❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
Subtract the sale price from the original price:
200 - 150 = 50.
Now divide the difference by the original price and then multiply that by 100:
50 / 200 = 0.25 x 100 = 25%
The discount is 25%
how many cubic feet in a rectangular prism 9 feet long, 4 feet tall and 1 foot wide
Answer:
36 cubic feet
Step-by-step explanation:
1. know that the equation for volume is l*w*h
2. plug in all the information that is shown in the question. (9*4*1)
3. 9*4*1 is 36 so your answer is 36 cubic feet
Answer: 36 ft³
Step-by-step explanation:
You must apply the formula for calculate the volume of a rectangular prism, which is show below:
[tex]V=l*w*h[/tex]
Where l is the lenght, w is the width and h is the height.
Given the dimensions shown in the problem, you can substitute values into the formula shown above.
Therefore, you obtain that the volume of the rectangular prims is:
[tex]V=(9ft)(1ft)(4ft)\\V=36ft^3[/tex]
What is 9.22 x 10^3 In standard form
Answer:
9220
Step-by-step explanation:10^3 = 1000 then times it by 9.22 and you should have 9220
Answer:
9220
Step-by-step explanation:
9.22 x 10^4 would be 92200
9.22 x 10^3 would be 9220
9.22 x 10^2 would be 922
9.22 x 10^1 would be 9.22
Can you work out the pattern?. Also you can work this out on your calculator by pressing the standard form button in the bottom middle of your calculator.
I have no clue how to do this
Answer:
CE = 12
Step-by-step explanation:
ΔCDB and ΔEAB are similar, hence the ratios of corresponding sides are equal
We require to find the length of BC to complete CE
[tex]\frac{BC}{BE}[/tex] = [tex]\frac{DB}{AB}[/tex], substitute values
[tex]\frac{BC}{8}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )
10BC = 40 ( divide both sides by 10 )
BC = 4
CE = CB + BE =4 + 8 = 12
Which expressions are equivalent to the one below? Check all that apply. 3^x A. 3 • 3^x + 1 B. 3 • 3^x - 1 C.18^x/3 D.(18/6)^x E. x^3 F.18^x/16^x
Answer:
B, D, FStep-by-step explanation:
[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{b^n}=\left(\dfrac{a}{b}\right)^n\\=================\\A.\ 3^{x+1}=3^x\cdot 3\neq3^x\\\\B.\ 3\cdot3^{x-1}=3\cdot3^x\cdot3^{-1}=(3^1\cdot3^{-1})\cdot3^x=3^{1+(-1)}\cdot3^x=3^0\cdot3^x=1\cdot3^x=3^x\\\\C.\ \dfrac{18^x}{3}\neq3^x\\\\D.\ \left(\dfrac{18}{6}\right)^x=(3)^x=3^x\\\\E.\ x^3\neq3^x\\\\F.\ \dfrac{18^x}{6^x}=\left(\dfrac{18}{6}\right)^x=(3)^x=3^x[/tex]
Choose Yes or No to tell if each equation is true.
2,000 km = 2 m Choose... Yes No
2,000 mm = 2 m Choose... Yes No
20 cm = 200 mm Choose... Yes No
20 m = 2,000 cm Choose... Yes No
Answer:
#1: No #2: Yes #3: Yes #4: Yes
Unit conversion is a way of converting some common units into another without changing their real value. Only b and c are the correct statements.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
a.) 2,000 km = 2m
No, since 1 km is equal to 1000 m, therefore, 2 m will not be equal to 2,000 km.
b.) 2,000 mm= 2m
Yes, since 1 m is equal to 1000 mm, therefore, 2000 mm will be equal to 2 meters.
c.) 20 cm= 200 mm
Yes, since 1 cm is equal to 10 mm, therefore, the 20 cm will have 200 mm.
d.) 20m = 2,000 cm
No, since 1 meter is equal to 100 cm, therefore, 20 m will not be equal to 2,000 cm.
Learn more about Units conversion:
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How do I solve number 6?
Answer:
csc^2(theta)
Step-by-step explanation:
1 / cot^2(theta) = tan^2(theta)
=============
sec(theta) = cos(theta)
therefore sec(theta)*cos(theta) = 1/cos(theta) * cos(theta) = 1
==========
tan^2(theta) + 1 = y
One of the fundamental theorems of trigonometry is
tan^2(theta) + 1 = csc^2(theta)
please hurry
What is the surface area of the cylinder? Express the answer in terms of pi.
➷ The formula for surface area of a cylinder is:
[tex]2\pi rh + 2\pi r^2[/tex]
The radius is half the diameter
radius = 8/2 = 4
Substitute the values in:
[tex]2\pi (4)(18) + 2\pi (4)^2[/tex]
Solve it:
surface area = [tex]176\pi[/tex]
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
525.64 [tex]cm^{2}[/tex]
Step-by-step explanation:
The formula is S.A. =2[tex]\pi r^{2} + 2\pi rh[/tex]
write the equation out. *raduis is half of diameter, d=8. r=4)
2 x 3.14 x [tex]4^{2}[/tex] + 2 x 3.14 x 4 x 18 = S.A.
Solve
2 x 3.14 x 4^2 = 100.48
Rewrite
100.48 + 2 x 3.14 x 4 x 18 = S.A.
solve second halve
2 x 3.14 x 4 x 18 = 452.16
rewrite
100.48 + 425.16 = 525.64
525.64 [tex]cm^{2}[/tex]
Hope this helped! Please mark as brainliest! Thanks!
If 2/3x-1=4,then x=
A)15/2
B)8/2
C)13/3
D)10/3
Answer:
A
Step-by-step explanation:
2/3x-1=4
Add 1 to each side
2/3x = 5
Divide each side by 2/3
x = 7.5
Find the same value...
15/2 = 7.5
HELP ME!!!!!
Mike pays $0.02 in sales tax for every $1 that he
spends. If Mike buys $60 worth of items, what is
the total cost?
A $60.00
B $0.02
C $1.20
D $61.20
Answer:
1.20
Step-by-step explanation:
you multiply 0.02 by 60 usually 120 but 2 decimal points so move the decimal 2 to the left
Point A is located at (-3, -6) and is reflected in the y-axis. What is the location of Point A'?
(3, -6)
(-3, 6)
(-6, -3)
(3, 6)
Answer:
(3, -6)
Step-by-step explanation:
The formula for reflecting across the Y axis is that the X axis value will become opposite, so the -3 becomes positive 3.
Answer:
(3, -6)
Step-by-step explanation:
When you reflect a point (x, y) in the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,
(-3, -6)⟶ (3, -6)
The image below shows the point before and after the reflection.
Solve −3.5 = x 4 for x using the multiplication property of equality.
Answer:
x = -14
Step-by-step explanation:
-3.5 = x/4
In the right side, the fraction x/4 means x divided by 4. We want x alone, so we multiply both sides by 4.
-3.5 * 4 = x/4 * 4
-14 = x
Answer: x = -14
The solution to the equation -3.5 = x/4for x using the multiplication property of equality is x = -14.
What is multiplication property of equality?Multiplication property of equality is an equality property which states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation are equal.
So,
-3.5 = x/4
multiply both sides by 4
-3.5 × 4 = x/4 × 4
-14 = x
Therefore, x equals negative 14.
Read more on multiplication property of equality:
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Which situation CANNOT be represented by this equation?
4x+7=314x+7=31
Answer:
The one on the bottom CANNOT be represented by the equation.
Step-by-step explanation:
For the equation in the problem there has to be a 4x, meaning the cost per case multiplied times the about of them (x). Then there has to be a +7 somewhere in the equation for shipping. The two on the top fit both of those descriptions.
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Determine whether the ordered pair is a solution of the liner inequality.
y + 3 is less than or equal to 2x
(1, 5)
(3, 4)
(4, –2)
(2, 5)
The given 3rd option is the viable answer.
Answer:
hello : (4, –2)
Step-by-step explanation:
because put : x = 4 and y = - 2 in the inequality y+3 ≤ 2x you have :
- 2 +3 ≤ 2(4)
1 ≤ 8 .... right
Is -8 a term
True or false
Answer:
It is true. It is a number value therefore it is true.
A term can be having a positive or negative value. Therefore -8 is also a term. Hence the given statement is true.
What is the term?A term or phrase that is used to describe something or to express a thought, particularly in a certain language or field of study.
A term's value might be either positive or negative. Consequently, -8 is also a term.
As a result, the statement is accurate.
To learn more about the term refer to;
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Amy wants to construct a fence around her sand -box.
The sand -box is circular in shape with a diameter of 3 ft.
What is the length of fencing material she will need to fence one complete circle around her sand -box?
(Use 3.14 for the value of ∏ (pi))
Answer:
9.42 feet
Step-by-step explanation:
The distance around the edge of a circle is called the circumference. The formula for circumference is C = dπ where d is the diameter. We are given
d = 3, so we have C = 3π. We are told to use 3.14 for pi, so we have
C = 3(3.14) = 9.42
how do you solve -27+(-42)+(-18)?
Answer: -87
Step-by-step explanation: −27−42−18
Find the surface area of a sphere with a radius of 8 cm
Answer:
[tex]\large\boxed{803.8\ cm^2}[/tex]
Step-by-step explanation:
The formula of a surface area of a sphere:
[tex]S.A.=4\pi R^2[/tex]
R - radius
We have R = 8 cm. Substitute:
[tex]S.A.=4\pi(8^2)=4\pi(64)=256\pi\ cm^2[/tex]
[tex]\pi\approx3.14[/tex]
Substitute:
[tex]S.A.\approx256(3.14)=803.84\ cm^2[/tex]
A submarine is descending 2100 feet below the surface .It took 2 hours write an equation to represent the submarines elevation and time
Answer:
-1050
Step-by-step explanation:
I know the answer because descending means going down so 2100 is the big number and its negative to if you do -2100 divided by 2 then you will get -1050.
The equation to represent the submarine's elevation and time is elevation = 2100 - (rate of descent × 2).
Explanation:To represent the submarine's elevation and time, we can use the equation:
elevation = starting altitude - (rate of descent × time)
Where:
elevation is the depth below the surfacestarting altitude is the initial depth of the submarinerate of descent is the speed at which the submarine is descendingtime is the duration of descentIn this case, the equation would be:
elevation = 2100 - (rate of descent × 2)
Learn more about Submarine's elevation and time here:https://brainly.com/question/17840966
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A triangular poster has a base of 2 1/2 feet and a height of 1 3/4 feet what is the area of the poster
Answer:
a=[tex]2\frac{3}{16}[/tex]
Step-by-step explanation:
formulas:
a= b x h x [tex]\frac{1}{2}[/tex]
or (both equations get the same answers)
a= b x h ÷ 2
imma stick with the second one kuz i usually use that one but ur preference.
so,
base(b) = [tex]2\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex]
height(h) = [tex]1\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]
now fill it in to the equation:
a=b x h x [tex]\frac{1}{2}[/tex] a= b x h ÷ 2
a=[tex]\frac{5}{2}[/tex] x [tex]\frac{7}{4}[/tex] x [tex]\frac{1}{2}[/tex] a=[tex]\frac{5}{2}[/tex] x [tex]\frac{7}{4}[/tex] ÷ 2
a=[tex]\frac{35}{16}[/tex] a=[tex]\frac{35}{16}[/tex] ÷ 2
a=[tex]2\frac{3}{16}[/tex] a=[tex]\frac{35}{8}[/tex] ÷ 2
a=[tex]\frac{35}{16}[/tex]
a=[tex]2\frac{3}{16}[/tex]
o well i did both lol
now you ca compare the two equations now :]
plz give brainliesttttt
Final answer:
The area of a triangular poster with a base of 2 1/2 feet and a height of 1 3/4 feet is calculated using the formula A = 1/2 × base × height, resulting in an area of 2.1875 square feet.
Explanation:
To find the area of a triangle, we use the formula A = ½ × base × height. Given that the base of the triangle is 2 1/2 feet (which is 2.5 feet when converted to a decimal) and the height is 1 3/4 feet (which is 1.75 feet in decimal), we can calculate the area as follows:
A = ½ × base × height
A = ½ × 2.5 ft × 1.75 ft
A = ½ × 4.375 ft²
A = 2.1875 ft²
Therefore, the area of the poster is 2.1875 square feet.
Retro Rides is a club for owners of vintage cars and motorcycles. Every year the club gets together for a ride. This year, 38 vehicles participated in the ride. The total number of tires of all the vehicles was 104. Assuming each car has 4 tires and each motorcycle has 2 tires, how many each of cars and motorcycles participated in the ride?
A. 18 cars; 20 motorcycles
B. 14 cars; 24 motorcycles
C. 11 cars; 27 motorcycles
D. 16 cars; 22 motorcycles
Answer: OPTION B
Step-by-step explanation:
Let's call:
c: the number of cars.
m: the number of motorcycles.
Based on the given information, you can set up the following system of equations:
[tex]\left \{ {{c+m=38} \atop {4c+2m=104}} \right.[/tex]
You can solve it by the Elimination method:
- Multiply the first equation by -4.
- Add both equations to cancel out the variable "c".
- Solve for "m":
[tex]\left \{ {(-4)(c+m)=38(-4)} \atop {4c+2m=104}} \right.\\\\\left \{ {-4c-4m=-152} \atop {4c+2m=104}} \right.\\-------\\-2m=-48\\m=24[/tex]
(24 motorcycles)
- Substitute m=24 into any of the original equations ans solve for "c". Then:
[tex]c+24=38\\c=38-24\\c=14[/tex]
(14 cars)
The answer is:
Option B.
[tex]Cars=14\\Motorcycles=24[/tex]
Why?We know that the total of tires of all the vehicles was 104, and there were 38 vehicles with 4 tires and motorcyles with 2 tires, so, we can calculate how many cars and motorcyles participated in the ride using the following equation:
Let x be the cars and y be the motorcyles, so:
[tex]x+y=38[/tex]
and,
[tex]4x+2y=104[/tex]
So, isolating x in terms of y from the first equation, we have:
[tex]x=38-y[/tex]
Then, substituting "x" into the second equation we have:
[tex]4(38-y)+2y=104\\152-4y+2y=104\\152-2y=104\\2y=152-104\\2y=48\\y=\frac{48}{2}=24[/tex]
Now, substituting "y" into the first equation, we have:
[tex]x+24=38[/tex]
[tex]x=38-24=14[/tex]
So, there were a total of 14 cars and 24 motorcycles in the ride.
Have a nice day!
Help ASAP need the formula and the answer will give brainliest as well as 98 points
Answer:
its D. 456 in
Step-by-step explanation:
if u multiply 10 x 10 then u get 100. that same square is there twice so if u add it u get 200. then the only one greater than 100 is 456.
Answer:
the answer is d 456^in2
Step-by-step explanation:
hope this helps
The graph of an equation is shown below:
Based on the graph, which of the following represents a solution to the equation?
(−2,−3)
(2, 1)
(1, 2)
(−3, 2)
we just have to locate these coordinates on graph and see which one lies on line .
you will find option 4 lies on line so it's the one of the solution of line
Answer:
(--3,2)
The only (x,y) that is on the line is (-3,2)
the rest don't fit on the line.