Answer:
x = -1, y = 0 or (-1, 0)Step-by-step explanation:
We have two equations :
-5x - y = 5x = 7y - 1Take the value of x in Equation 2 and substitute in Equation 1.
-5(7y - 1) - y = 5-35y + 5 - y = 5-36y = 0y = 0Now, take the value of y and substitute in Equation 2.
x = 7(0) - 1x = -1Solution
x = -1, y = 0 or (-1, 0)Answer:
The lines intersect at the point (-1, 0)
Step-by-step explanation:
−5( )−y=5
-5(7y-1) - y = 5 substitute the x=7y-1 into first equation
-35y + 5 - y =5 multiply -5
-36y + 5 = 5 combine like terms
-36y = 0 subtract 5
y=0 divide by -36
x=7(0)-1 substitute 0 for y in x=7( )-1
=-1 simplify
The lines intersect at the point (-1, 0)
Suppose a town has a population of 5,000 residents but that the population is decreasing by 200 people each year. Write a linear function to represent the population of the town in terms of the numbers of years. After how many years will the town have a population of 1,800? When will the town have only 400 residents?
Answer:
it will take 16 years to reach a population of 1800 and in 23 years the population will be 400.
Step-by-step explanation:
population: 5000
population decreasing: 200x
y=5000-200x
(1800-5000)/-200
(400-5000)/-200
WILL GIVE BRAINLIEST
Distance formula: distance = sqrt((x2-x1)^2 + (y2-y1)^2)
distance = sqrt((-2 - -9)^2 + (-2 - -6)^2)
Distance = sqrt( 7^2 + 4^2)
Distance = sqrt(49+ 16)
Distance = sqrt(65)
Answer is c. Sqrt(65)
Answer: the answer is c which square root 65
Step-by-step explanation: hope it is correct .
The diagram shows a prisim
Draw the front elevation and the side elevation of the prism on the grids.
use a scale of 2 squares to 1m
Given circle E with diameter CD and radius EA. AB is tangent to Eat A.
If AD = 14 and CD = 26, solve for AC. Round your answer to the nearest
tenth if necessary. If the answer.cannot be determined, click "Cannot be
determined."
The hypotenuse is equal to the square of the other two sides. The length of AC from the diagram is 21.9feet
Application of pythagoras theoremThe theorem states that the square of the hypotenuse is equal to the square of the other two sides
Given the following
Hypotenuse = 26 feet = CD
Base side = AD = 14ft
Required
Length AC
Use the theorem
26^2 = 14^2 + AC^2
AC^2 = 676 - 196
AC^2 = 480
AC = 21.9feet
Hence the length of AC from the diagram is 21.9feet
Learn more on pythagoras theorem here: https://brainly.com/question/343682
Answer:
Given circle E with diameter CD and radius EA. AB is tangent to E at A. If
CD = 8, solve for AD. Round your answer to the nearest tenth if necessary. If the
answer cannot be determined, click "Cannot be determined.
Step-by-step explanation:
A greenhouse owner wants to test the effectiveness of a new fertilizer on African violets. She has 60 violet
seedlings that were grown for 8 weeks. She wants to test the new fertilizer on 10 of the plants, and decides to use
a simple random sample to select them. Which of the following statements is true?
She needs to select the 10 biggest plants to test the new fertilizer.
She needs to select the 10 smallest plants to test the new fertilizer.
She needs to number each plant 1-60 and randomly select 10 plants.
She needs to put the plants in 6 groups of 10 and randomly select 1 of the groups.
Answer:
1 - 60
Step-by-step explanation:
She needs to number each plant 1-60 and randomly select 10 plants.
ou earn $17.50/hr and work 40 hr/wk. Your deductions are FICA (7.65%), federal tax withholding (12.3%), and state tax withholding (6.2%). Your housing and fixed expenses are 30% of your realized income per month. You want to save 5 months' worth in an emergency fund within a year. How much do you need to save per month to fund the emergency fund?
Step-by-step explanation:
MARK A BRAINLESS THIS ANSWER IS CORRECT
Please help me I’ve asked this questions several times and I really need help with this I do not understand it at all
Answer:
(-5,-2)
(-4,-3)
(-6,-1)
Step-by-step explanation:
-5(x)-2(y)=-7
-4(x)-3(y)=-7
-6(x)-1(y)=-7
Bryan and Jadyn had barbecue potato chips and soda at a football party. Bryan ate 5oz of chips and drank 1 cup of soda for a total of 650mg of sodium. Jadyn ate 1oz of chips and drank 5 cups of soda for a total of 250mg of sodium. How much sodium is in 1oz of chips and how much is in 1 cup of soda?
Answer:190 mg of sodium in 1 oz of chips and 40 mg for 1 cup soda.
Step-by-step explanation:
what is the area of 10in circle
Answer:
Step-by-step explanation:
going by the assumption tha the radius is 10inches.
area would be pi r^2
which would be pi(10)^2 = 100pi =314.16 (rounded)
Five gallons of gasoline cost \$ 22. 80$22. 80.
What is the price per gallon?
Answer:
$4.56
Step-by-step explanation:
22.80/5 = 4.56
number story for 4 divided by 1/8
Answer:
32
Step-by-step explanation:
4 ÷ 1/8
4/1 · 8/1 = 32/1
32
I hope this helps & God bless!
Is a triangle with the side lengths 4 feet, 7. 5 feet, and 8. 5 feet a right triangle? Why or why not?
Answer:
Yes
Step-by-step explanation:
You can test if a triangle is right-angled by using Pythagoras' Theorem.
So:
[tex]4^2 + 7.5^2 = 8.5^2[/tex]
16 + 56.25 = 72.25
They do in fact add up so this triangle is right angled.
what is the area of a 14cm square?
Answer:
196
Step-by-step explanation:
the area of a square is simple its just a=length time width, so you just plug in youre length which is 14 and a square side are all the same size so the width is also 14, so your equation is a=14 times 14= 196. ;) hope that helped.
Math 50 points Please Help
Answer:
Step 3
Step-by-step explanation:
-4(3)(-1)
Will be equal to a positive 12
How to multiply a ratio then divided by 3.
Answer:
Heres the answer
Step-by-step explanation:
To calculate the ratio of an amount we divide the amount by total number of parts in the ratio then multiply the answer by original ratio.
3 1/8 x 90 please help me thank you everyone ! :)
Answer:
[tex]2248\frac{1}{4}[/tex]
Step-by-step explanation:
given: [tex]3\frac{1}{8} * 90[/tex]
now, we turn both into improper fractions:
25/8 * 90/1 :: [tex]\frac{25}{8} * \frac{90}{1}[/tex]
now we multiply across
[tex]\frac{25}{8} * \frac{90}{1} = \frac{2250}{8}[/tex]
now turn into a mixed number:
[tex]\frac{2250}{8} = 2248\frac{2}{8}[/tex]
simplify! :
[tex]2248\frac{1}{4}[/tex]
A teacher has been given £35 to spend on pencils and rulers.
A packet of 12 pencils costs £2.15.
A pack of 30 rulers costs £6.00.
She buys 4 packs of rulers and spends the rest on packets of pencils.
How many packets of pencils can she buy?
A, B & C form a triangle where Z BAC = 90°.
AB = 4.2 mm and CA = 1.5 mm.
Find the length of BC, giving your answer rounded to 1
DP.
mm
BC =
Answer:
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression entered or try another topic.
A, B, C, ZBAC=90°
AB=4.2mm
CA=1.5mm,
DP
mm
BC
hope this helps
Answer:
BC = 4.5 (1 dp)
Step-by-step explanation:
Pythagoras’ Theorem
[tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = AC = 1.5b = AB = 4.2c = BCSubstituting these into the formula and solving for BC:
[tex]\implies 1.5^2+4.2^2=BC^2[/tex]
[tex]\implies 2.25+17.64=BC^2[/tex]
[tex]\implies BC^2=19.89[/tex]
[tex]\implies BC=\pm\sqrt{19.89}[/tex]
As distance is positive,
⇒ BC = 4.5 (1 dp)
3 cm
Find the surface area of the above solid.
O A. 56 cm2
• B. 40 cm2
• C. 48 cm2
D. 36 cm2
Help quickly please
area is 36...............
Ms. Upton spends a total of $42 for 3 sweaters for her children. Each sweater costs the same amount. How much does each sweater cost?
Which equation can be used to find the answer?
Group of answer choices
42 + S= 3
S= 423
S=42*3
S-42=3
Answer:
The answer would be $14 a sweater.
And S=42*3 (If * is a divide by sign)
Step-by-step explanation:
Step 1. Find the equation. If $42 is total then we know to to divide that number by three getting the equation S=42*3.
Step 2. Do the math. 42 divided by 3 is 14, meaning 14 dollars per sweater.
I hope this helps! :)
11 What is the value of k if the mid-point of the line joining (1 – k, 4) and (2, k + 1) is (-k, k)?
Answer:
k = -3
Step-by-step explanation:
Given
(-k, k) is the midpoint of the line joining (2, k + 1) and (1 - k, 4)Solving
Equate the midpoint and endpoints using the Midpoint FormulaLet's equate the x parts-k = 2 + 1 - k / 2-2k = 3 - k-k = 3k = -3The parabola in the image has its focus at (4,3).Its directrix is the line y=1.The point (8,6) is on the parabola.
The true statements for the parabola in the image are:
C. The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.Option D.How to determine the equation of the directrix?Mathematically, the standard equation of the directrix lines for a parabola is given by y = a(x - h)² + 2.
Given the following data:
Vertex (h, k) = (4, 3).
Point (x, y) = (8, 6).
Next, we would determine the distance where point (8, 6) lies on the parabola:
y = a(x - h)² + 2
6 = a(8 - 4)² + 2
6 = a(4)² + 2
6 = 16a + 2
16a = 6 - 2
16a = 4
a = 4/16
a = 1/4.
Therefore, the equation becomes:
y = 1/4(x - 4)² + 2
When x = 2, we have:
y = 1/4(2 - 4)² + 2
y = 1/4(-2)² + 2
y = 1/4(4) + 2
y = 1 + 2
y = 3.
In conlusion, the true statements regarding the parabola in the image are:
The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.The point (2, 3) is on the parabola.Read more on directrix here: https://brainly.com/question/2346582
#SPJ1
Find the surface area and volume, GIVING BRAINLY
Solve using the Elimination Method
x - 2y = 4
3x + 4y = 2
Answer: x=2, y=-1
Step-by-step explanation:
Step 1) Make both equations have the same coefficient
What I mean by this is make either y or x have the same number multiplied to them so that we can eliminate. We can do this by multiplying everything in the first equation by 2.
[tex](2)x - (2)2y = (2)4\\2x-4y=8[/tex]
Step 2) Add the equations together to eliminate y
[tex]2x - 4y = 8\\+3x + 4y = 2\\5x+0=10\\5x=10[/tex]
Step 3) Solve for x
[tex]\frac{5x}{5} =\frac{10}{5} \\x=2[/tex]
Step 4) Sub the value of x into an equation and solve for y
[tex]x-2y=4\\2-2y=4\\2-2-2y=4-2\\-2y=2\\\frac{-2y}{-2} =\frac{2}{-2} \\y=-1[/tex]
Given that a student is in 10th grade, what is the probability that the student is also not involved in after-school activities? 0.43 0.45 0.55 0.57
Answer:D
Step-by-step explanation:
please help me find the same denominator
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
let us first start with some basic information ~
A fraction can be represented as [tex]\frac{x}{y}\\[/tex] where ,
x is the numerator and y is the denominator !
the question asks us to do something that will help us get same denominator for both the terms !
so let's see what we should do in such a case ~
[tex] \frac{9}{10} \: and \: \frac{7}{8} \\ \\ \\ lets \: make \: the \: denominator \: of \: both \\ the \: terms \: reach \: 80 \: , \\ \\ \bold\orange{ \implies \: \frac{9}{10} \times \frac{8}{8} = }\bold\red{ \frac{72}{80}} \\ \\\bold\orange{ \implies \: \frac{7}{8} \times \frac{10}{10} =}\bold\red{ \frac{70}{80}} [/tex]
and we're done !
let's add some more info to be lil more clear ~
while converting the denominator of both the terms , we must multiply the same number ( this number refers to the one we'll have to multiply to the denominator to obtain the desired result ) with the denominator as well as with the numerator !
hope helpful :D
Answer:
Step-by-step explanation:
you have to multiply first fraction with '8' and second fraction with '10' :
the fractions will become 72/80 and 70/80 then you can compare it
formular for area of a circle
Answer:
Tr2
Step-by-step explanation:
pie * radius * radius
Answer:
πr²Step-by-step explanation:
The circumference of a circle is given to be 2πr, and its radius to be r.
Area = 1/2 x circumference x radiusArea = 1/2 x 2πr x rArea = πr²The value of 4,576 x (2,480 + 3) is 3 more than the value of 4,576 x 2,480
find the Perimeter and area
Answer:
perimeter = 22 + 3π
area = 48 + (9/2)π
Step-by-step explanation:
perimeter = 8 + 6 + 8 + (1/2)(6π) = 22 + 3π
area = 8(6) + (1/2)(3^2)π = 48 + (9/2)π
If Emily walks to school at 3 miles per hour, the walk takes 20 minutes. If she rides her bike to school at 5 miles per hour, how long will the trip take her?
Answer:
40 minutes
Step-by-step explanation:
I think this is the correct answer
I hope I helped you
sorry if I got it wrong btw