Answer:
Option A.
Step-by-step explanation:
If a system of equations has two equations and the graph of both equations intersect at point, then the intersection point is the solution of the system of equations.
The given equations are
[tex]x+9y=5[/tex]
[tex]4x+15y=-1[/tex]
It is given that the graph of both lines intersect each other at point (-4,1).
It means, (-4,1) is a solution to the system of linear equations.
Therefore, the correct option is A.
Answer:
a
Step-by-step explanation:
Joshua owns a trucking company. For every truck that goes out, Joshua must pay the driver $25 per hour of driving and also has an expense of $2 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 50 miles per hour and Joshua's total expenses for the driver, gas and truck maintenance were $625. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.
Let h= the number of hours the driver drove
Let m= the number of miles driven
25h+2m=625
m=50h
System of equations are 25x + 2y = 625 and y = 50x
Where x represents number of hour of driving and y represent number of mile driven for gas and maintenance.
Since, Joshua pay the driver $25 per hour of driving
So for x hours pay $ 25x
And also has an expense of $2 per mile driven for gas and maintenance
So for y miles pay $ 2y
Thus, for the driver drove an average of 50 miles per hour
Equation is, y = 50 x
And since, Joshua's total expenses for the driver, gas and truck maintenance were $625.
So equation is, 25x + 2y = 625
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https://brainly.in/question/28501670
Complete the square please.
Answer:
(x-3)^2 + (y+2)^2 = 9^2
Step-by-step explanation:
x^2 -6x+y^2+4y-68 = 0
Complete the square
x^2 -6x+y^2+4y-68+68 = 0+68
x^2 -6x+y^2+4y = 68
Find the term to add for x
-6 /2 = -3 -3^2 = 9
Find the term to add for y
4/2 =2 2^2 = 4
Add 9 and 4
x^2 -6x+9+y^2+4y+4 = 68+9+4
(x-3)^2 + (y+2)^2 = 81
(x-3)^2 + (y+2)^2 = 9^2
The standard form is
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
HELP PLEASEEEEE
Urgent
Answer:
The answer is b.
Step-by-step explanation:
If the for is filled than it is included
Pippa has 18 puppies, 12 of the puppies have two ears. what is the percent of the puppies have two ears?
Answer:
66.666% or 66.7% if rounded to the nearest one decimal place
Step-by-step explanation:
12÷18 × 100
Find the areas of the trapezoids.
Rotate it 90 degrees so that the would be the top.
Area of a trapezoid = (top+ bottom)/2 x height.
Each line on the graph is 2 units.
Top = 2
Bottom = 8
Height = 6
Area = (2+8)/2x6 = 30square units
Please Helppp :(((( A crew of highway workers paved 1/2 mile in 1/4 hour. If they work at the same rate, how much will they pave in one hour?
Answer:
120 miles is the answer
Can somebody please explain number 15 and number 18 to me, I'm begging you I cannot do this to save my life I've been trying to do it for an hour now
Find m ABC. Need help
Answer:
<ABC = 30°
Step-by-step explanation:
<ABC + <CBD = 90 [Complementary angles add up to 90°]
x+7+2x+14 = 90
3x + 21 = 90
3x = 90-21
3x = 69
Dividing both sides by 3
x = 23
Now
<ABC = 23+7
<ABC = 30°
Answer:
30 degrees
Step-by-step explanation:
Lower quartile of 6 8 10 12 14 15 15 20
Answer: The lower quartile is 6
Step-by-step explanation: To find the lower quartile of a set of data, we can find the median of the data and then find the median of the first half. This strategy is similar to dividing a cake into halves, and then dividing one of the halves in half so that you end up with a quarter of the cake.
HELP PLS !!
In the figure, AB || CD and
m<1 = 120°
What is m25?
Enter your answer in the box.
Answer:
i think 180 not positive
Step-by-step explanation:
Transforma adjectivele:gustos,curat,luminoasa,inalta in substantive,apoi in verbe.Alcatuieste enunturi cu fiecare notiune care a rezultat.
Repede,va rog! :((
Answer:
To solve this problem, we need to transform the adjectives below to verbs.
Yummy : SavorClean : To cleanShiny : To shineWe can form the following sentences:
My siste savors the meal, and she thinks is yummy.I clean my apartment every single day, it's so clean.The sun shines all day, it's a shiny object.a roofer leaned a 19 ft ladder against the house with the base of the ladder is 6 feet from the house, how high up the house does the ladder reach?
Michael bought a stereo on sale for 20% off the regular price. The regular price of the stereo was $180. What was the sale price of the stereo?
Answer:
144
Step-by-step explanation:
Take the original price and multiply by the discount
180* 20%
180 *.20
36
Subtract this from the original price
180-36 =144
The sale price is 144
a triangle has two sides of lengths 8and 10 what value could the length of the third side be
A travel agency surveyed 1000 people to find out how many of them visited London and Paris. 310 people vistied London, 222 people visited Paris and 118 people visited both cities. How many people vistied none of these cities? A.414 B.104 C.192 D.586
Answer:
586Step-by-step explanation:
Using set notation to answer the question.
let n(U) be the total number of people surveyed = 1000
n(L) be number of people that visited London = 310
n(P) be number of people that visited Paris = 222
n(P∩L) be number of people that visited both cities = 118
n(P∪L)' be number of people that visited none of the cities = x
n(U) = n(PUL) + n(PUL)'
We willl get n(PUL) using the formula;
n(PUL) = n(P)+ n(L)-n(P∩L)
n(PUL)= 222+310-118
n(PUL)= 414
Since n(U) = n(PUL) + n(PUL)'
1000 = 414+n(PUL)'
n(PUL)' = 1000-414
n(PUL)' = 586
586 peoples visitied none of these cities?
Factor: 9x^2 + 6x + 12x + 8 *
please help me
Answer & Step-by-step explanation:
9x² + 6x + 12x + 8
First, simplify the expression.
9x² + 18x + 8
Now that you have simplified the expression, you can start factoring it. First, you have 9x². You can factor into 3x and 3x because 3 times 3 is 9 and once you multiply x by x, you will get x².
(3x + )(3x + )
Now that we have this part of the factoring, we have to find the other part. We can do this by looking at our constant number. Constant meaning a number that does not have a variable beside it. So, in this case, our constant is 8. We can reduce 8 into 2 and 4 because 2 times 4 is 8.
(3x + 2)(3x + 4)
So, the factored form of 9x² + 6x + 12x + 8 is (3x + 2)(3x + 4)
Answer:
Step-by-step explanation:
Help. Will give brainliest
Answer:
The rectangle (A) has the largest area.
Step-by-step explanation:
To work out the area of the rectangle you have to multiply the width with the height.
A: 3 squares tall, and 5 squares wide. We have to multiply 3 with 5 which equals 15.
B: 2 squares tall, and 6 squares wide. We have to multiply 2 with 6 which equals 12.
The highest answer or area is 15. Which is Rectangle A.
PLEASE HELP ASAP PLEASE PLEASE PLEASE
If you have one apple, and someone gives you three more apples, how many apples do you have? __4__ This is the same idea as adding variables. x+3x = ______. The exponent does not change when adding.
However, when you multiply, you _____________ the exponents. For example x · x · x · =___ Simplifying Negative Exponents : 2^-3 = 1 = 1/8
Write an example for each rule:
Answer:
First blank- 4x
Second blank- combine
Third blank- X
Hope this helps :3
(Write feedback if incorrect)
If a stack of 45 coins fits snugly in the coin wrapper shown, how thick is 1 coin?
coin
wrapper
d=21.17 mm V=28,470 mm
Answer:
1.797 mm
Step-by-step explanation:
The key to solving this problem is finding the length of the coin wrapper, or "height" of the cylinder.
The volume of a cylinder equation is:
V = hπr^2
- We want to find h
- We are given diameter and we will want the radius so we divide
21.17/2 = 10.585
r = 10.585
So to find h we manipulate the equation by dividing both sides by pi and r^2
resulting in the following:
h = [tex]\frac{V}{\pi r^2}[/tex]
now substitute given values and we get
h = [tex]\frac{28470}{\pi10.585^{2} }[/tex] = 80.883
Now to find the thickness of a single coin we divide the length of the sleeve (h) by the number of coins in the sleeve (45).
Thickness = 80.883/45 = 1.797 mm
Given g(x)=-x-2, find g(1)
Answer:
G(x)=−12x2−2x
Step-by-step explanation:
4 yd 2 ft = _____ ft. Explain how you knew how to solve the problem.
Answer:
Square yard= 4 Square foot= 36
Step-by-step explanation:
Formula: Multiply the area value by 9
Answer: Square yard= 4 Square foot= 36
Hope this helps.
For which acute angle are the sine of the angle and cosine of the angle equal?
Answer:
∠45°
Step-by-step explanation:
When looking at a unit circle, the only acute angle (an angle between
0° and 90°) that consists of an equal sine and cosine is 45°. This is because:
[tex]sin 45 = \frac{\sqrt{2} }{2}[/tex]
[tex]cos45 = \frac{\sqrt{2} }{2}[/tex]
45° is the only acute angle that contains an equal sine and cosine.
Answer:
45 degrees
Step-by-step explanation:
Since Sin(90-x) = Cos(x), we can find that the angle at which 90-x=x is 45 degrees. This corresponds to [tex]\frac{\pi }{4}[/tex] radians
Find the value of x in the quadrilateral below.
Answer:
120
Step-by-step explanation:
The sum of the degrees in any quadrilateral is 360. So add up all of the degrees you know and subtract it from 360 to get your answer.
120 + 60 + 60 = 240
360 - 240 = 120
another way you know that's easier is the angles that are diagonal are equal to one another, so since x is diagonal to 120, it is equal to 120.
What type of triangle is this triangle?
acute isosceles
obtuse scalene
acute scalene
obtuse isosceles
Answer:
Scalene
Step-by-step explanation:
Because all of the sides are different lengths
lim(x,0) sqrtx+11 -sqrt11/x
Answer:
=11x=qrst/x
Step-by-step explanation:
Answer:
c. 1/2sqrt11
Step-by-step explanation:
edge
Solve the equation: 6-3(-2-4x)= 2(3(x-4)+7)
A: x= 11/3
B: x=4
C: x= -29/6
D: x= -11/3
Answer:
the answer is d: x=-11/3
Fatima is on the track team. One day at practice, it took her 19 minutes to run 2 miles. Select the expression that gives this as a unit rate.
Answer:
Fatima's unit rate is 9.5 minutes per mile.
Step-by-step explanation:
To compute the one unit value of a variable divide the total values of n variables by n.
It is provided that it took Fatima 19 minutes to run 2 miles.
Then the unit rate at which Fatima runs is:
[tex]\text{Unit Rate}=\frac{19}{2}[/tex]
[tex]=9.5[/tex]
Thus, Fatima's unit rate is 9.5 minutes per mile.
A vendor charges $24 for a souvenir. What is the demand function
Answer:
depends on the tax, value, and some other factors (i think)
Step-by-step explanation:
Which fraction is equivalent to 20%? - 1/20 - 2/20 - 4/20 - 5/20
Answer:
c
Step-by-step explanation:
[tex]\frac{20}{100} = \frac{1}{5} \\\frac{4}{20} = \frac{1}{5}[/tex]
Answer:
4/20
Step-by-step explanation:
4/20=1/5=20%
what is causation in a scatter plot
Answer:
A scatter plot displays data about two variables as a set of points in the x y x y x y -plane and is a useful tool for determining if there is a correlation between the variables. Causation means that one event causes another event to occur. Causation can only be determined from an appropriately designed experiment.
Step-by-step explanation:
Example: Correlation between Ice cream sales and sunglasses sold. ... Causation takes a step further than correlation. It says any change in the value of one variable will cause a change in the value of another variable, which means one variable makes other to happen. It is also referred as cause and effect.