How can you determine if a point is a solution to a system of linear equations?
Please Help!
Answer:
You can substitute the x value of coordinate (x,y) in the equation. If the outcome = the y value in the coordinate (x,y), then you have determined it to be on the system of linear equations.
Step-by-step explanation:
Point P has a coordinates: ( Px , Py ).
You can choose which value is easy to substitute. Eighter start with the Py or you could start with the Px. It could save you time if you pick the right one for the job.
If you want to verify if any point is valid in any (linear) equation(s), you can:
a) substitute the x value of coordinate (x,y) in the equation, and if the outcome has the same value as y in the coordinate (x,y), then that point is a valid solution of the (linear) equation.
b) substitute the y value of coordinate (x,y) in the equation, and if the outcome has the same value as x in the coordinate (x,y), then that point is a valid solution of the (linear) equation.
Answer:
You can substitute the x value into the equation if the answer for y is the same for the y coordinate you will have your answer.
Step-by-step explanation:
You are going to the grocery to buy the candies for you and your sisters/brothers. You want to buy
chocolates and gums. Each chocolate costs 1.50 AED and each gum costs 0.50 AED. At the end you spent a total
of 78.50 AED. You bought a total of 87 chocolates and gums combined. You must report the number of
chocolates bought and the number of gums bought. How many chocolates were bought and how many gums
were bought?
Answer: 35 chocolates were bought and 52 gums were bought.
Step-by-step explanation:
c + g = 87 where c is the number of chocolate and g is the number og gums
1.50c + 0.50g = 78.50 solve both equations by elimination.
-1.50c - 1.50g = -130.5
1.50 + 0.50g = 78.50
-1g = -52
g= 52
1.50c + 0.50(52) = 78.50
1.50c + 26 = 78.50
-26 -26
1.50c = 52.5
c = 35
A custodian carries a large key ring. The key ring has a radius of 4 centimeters. What is the key ring's circumference?
Answer:
About 25.13
Step-by-step explanation:
circumference equation: 2pi(r)
2pi(4) = 25.13
Find the slope: (-1,5) and (2,-3)
Answer:
-2/3
Step-by-step explanation:
Answer:
(-3-5)/(2-(-1))=-8/3
Step-by-step explanation:
Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did
they win in total?
Answer:
£40
Step-by-step explanation:
£30 represents 3 parts of the ratio that Fiona got.
Divide £30 by 3 to find the value of one part of the ratio
£30 ÷ 3 = £10 ← value of 1 part of the ratio
They won £30 + £10 = £40
The radius of a circle is 6mm. What is the area of the shaded portion of the circle.
The area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3
Area of a sectorFrom the question, we are to determine the area of the shaded portion.
The shaded portion in the circle is the major sector.
The area of a sector is given by the formula,
[tex]A = \frac{\theta}{360 ^\circ} \times 2\pi r[/tex]
Where [tex]\theta[/tex] is the angle subtended by the sector
and r is the radius of the circle.
From the given information,
r = 6 mm
and [tex]\theta[/tex] is the angle subtended by the major sector
Therefore
[tex]\theta = 360^\circ - 70^\circ[/tex]
[tex]\theta = 290^\circ[/tex]
Putting the parameters into the formula, we get
[tex]A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6[/tex]
Simplifying
[tex]A = \frac{29}{3} \tim\pi \ mm^{2}[/tex]
Hence, the area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3
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What is 2x+3=x+15 pls help
Answer:
x = 12
Step-by-step explanation:
2x+3=x+15 (subtract x from both sides)
2x + 3 - x = x + 15 - x
x + 3 = 15 (subtract 3 from both sides)
x + 3 - 3 = 15 - 3
x = 15-3
x = 12
HHELP HELP PLZZ PLZ SHOW WORK PLZZZZZ
Answer:
B. 43.3
Step-by-step explanation:
Find the area of one of the triangles:
[tex]\frac{1}{2} *b*h[/tex]
[tex]\frac{1}{2} *5*4.33=10.825[/tex]
10.825*4=43.3
Answer:
B.) 43.3 square centimetres
Step-by-step explanation:
The height is 4.33 cm and the side length is 5 cm. The surface area of the net would be the sum of the areas of all the triangles, which is 4 triangles. Since they are equilateral triangles, you can multiply. Use the formula for the area of a triangle:
[tex]A=\frac{1}{2} bh[/tex]
Insert the values:
[tex]A=\frac{1}{2} *4.33*5[/tex]
Simplify:
[tex]A=\frac{1*4.33*5}{2} \\\\A=10.825[/tex]
Multiply the area of one triangle by 4:
[tex]10.825*4=43.3[/tex]
The surface area of the pyramid is [tex]43.3[/tex] [tex]cm^2[/tex]
:Done
Write an equation for the line in slope-intercept form.
y = 1/2 x -3
Explanation: the y-intercept is where it crosses the y axis so the y-intercept is -3
I NEED HELP WITH THIS
Answer:
(i think it is for q6 so) $6
Step-by-step explanation:
4.50÷3=1.50 (that's for 1 pound of fudge)
1.50×4=6
You revived 1/4 pound of candy from your grandmother, 1/2 pound of candy from your sister, and 1/8 pound of candy from your best friend. How many pounds of candy did you receive?
Answer:
⅞ pound
Step-by-step explanation:
You received 1/4 pound of candy from your grandmother.
You received 1/2 pound of candy from your sister.
You received 1/8 pound of candy from your best friend.
The total amount of candy you received is given as the sum of all the candy that he received from your grandmother sister and best friend.
The total amount of candy is therefore:
¼ + ½ + ⅛ = ⅞ pound
You received ⅞ pound of candy in total.
is the square root of .036 a rational number?
The square root of 0.36
= [tex]\sqrt{0.36}[/tex] = 0.6
ans: 0.36
Happy to help!
you want to start a necklace making business. You spend $0.68 on string for each necklace and $0.25 on beads for each necklace. You sell your necklaces
for $2.00 each. If you sell 30 necklaces, how much profit will you make?
Answer:
Your profit would be 32.10$
Step-by-step explanation:
You spent 20.40$ on string, then you spent 7.50$ on beads too. That adds up to 27.90$ in total, so once you make your 30 necklaces you sell them for 2.00$ let's say you sell them all in one day your coming come with 32.10$ profit. Because you put 27.90$ into making the necklaces.
On Bianca's 5th birthday gift of $100 cash from her dad. Bianca's dad promises to double her money
yearly if Bianca plans to not spend money but instead deposit into "daddy's - super-saving - account".
Will Bianca be able to afford her dream car, a Mini Cooper worth $30,000 when she turns 16? Use words,
numbers, and tables to explain your answer.
Answer:
Bianca would be able to afford her dream car conveniently when she turns 16.
Step-by-step explanation:
Bianca was 5 years and wish to project her savings for the next 11 years.
On her 5th birthday, she saves $100
Her dad promises to double her money yearly with respect to a condition. So that;
On her 6th birthday, she would save $ 200
On her 7th birthday, she would save $400
On her 8th birthday, she would save $800
On her 9th birthday, she would save $1600
On her 10th birthday, she would save $ 3200
On her 11th birthday, she would save $ 6400
On her 12th birthday, she would save $12800
On her 13th birthday, she would save $25600
On her 14th birthday, she would save $51200
On her 15th birthday, she would save $102400
On her 16th birthday, she would save $204800
When she turns 16, she would have a total sum of $409500.
Therefore, Bianca would be able to afford her dream car conveniently when she turns 16.
HELP I NEED THIS ASAP! IF ANYONE CAN HELP ME SOLVE THIS I WOULD BE REALLY GRATEFUL!
Answer:
First, you work out the 3 and Tail from the table: T3: 62
Then you add up all values from the table:
S = 43 + 49 + 54 + 65 + 71 +62 = 344
Then the probability of next toss and spin is 3 and Tail is:
P = T3/S = 62/344 = 0.18
What is the perimiter of the rectangle? Write your answer in scientific notation.
6.2 x 10^6cm (perimiter)
Answer:
68cm
Step-by-step explanation: this is the right answer :)
Keith makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answer:
P=8h
Step-by-step explanation:
P is the total amount of dollars that Keith will make, while h is the number of hours he will work for. If you multiply the number of hours he works for and how much he makes in an hour which is 8. You will get the total amount.
what is 4x^2 + 12x - 6 = 0 rewritten in x^2 + b/a = -c/a format?
Answer:
Step-by-step explanation:
devide both sides by 4 it will be:
x^2 +3x -3/2 = 0
Analyze the diagram below and complete the instructions that follow.Find cos 45°
Answer: [tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation: On the unit circle
Answer:
b
Step-by-step explanation:
Thanks for all the help
Answer:
<FBE
Step-by-step explanation:
supplementary just mean 180
Answer:
∠CBG or ∠FBG
Step-by-step explanation:
Supplementary angles add up to 180°.
Help!!! multiple choice!
12-3 ( x-8 ) simplify
Answer:
-3x + 36
Step-by-step explanation:
The first step is to distribute the -3 to (x - 8), like so:
12 - 3(x - 8)
12 - 3x + 24
Add like terms (12 and 24):
12 + 24 = 36
-3x + 36
what is between 1/6 and 2/6 on a number line
Answer:
3/12 or 1/4
Step-by-step explanation:
To find what is between, we have to use the formula:
x + y= z
z/2 = midpoint!
So, we can do that with this number.
1/6 + 2/6 = 3/6. We could simplify it, but let’s keep it at 3/6
3/6 divided by 2 = 3/6 · 1/2 = 3/12
So, the midpoint would be 3/12.
What is the Surface Area of the prism, in square centimeters?
Answer:
[tex]2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )[/tex]
[tex]= {184cm}^{2}[/tex]
Today, Isaac needs to walk his dog, water the garden, and feed his fish. DDD is the number of minutes it takes to walk his dog, GGG is the number of minutes it takes to water the garden, and FFF is the number of minutes it takes to feed his fish. The expression G+(D+F)G+(D+F)G, plus, (, D, plus, F, )describes the total number of minutes it takes Isaac to do all three tasks. We can also use the expression (G+D)+F(G+D)+F(, G, plus, D, ), plus, F to represent the same quantity. Match each amount in the situation with the expression that represents it. For reference: The dog is an animal, and he needs to go outside to walk. The garden is a bunch of plants (not an animal), and it is outside. The fish is an animal, and she lives in a water tank inside.
Answer:
The total Minutes of the tasks involving animals.-D+F (Dog and fish)The total Minutes of the tasks not involving animals.-G (Garden)The total Minutes of the Inside tasks.-F (Fish)The total Minutes of the Outside tasks.-G+D (Garden and Dog)Step-by-step explanation:
We are told that:
D = number of minutes it takes to walk his dog
G = number of minutes it takes to water the garden; and
F = number of minutes it takes to feed his fish
We are required to match the given situations to its respective expressions:
Situation
The total Minutes of the Inside tasks.
The total Minutes of the Outside tasks.
The total Minutes of the tasks involving animals.
The total Minutes of the tasks not involving animals.
Expression
D+F
G+D
G
F
Note
G and D are outside tasks while F is an inside task.D and F involves animals while G does not.Therefore, the match of the situation and respective expressions are:
The total Minutes of the tasks involving animals.-D+F (Dog and fish)The total Minutes of the tasks not involving animals.-G (Garden)The total Minutes of the Inside tasks.-F (Fish)The total Minutes of the Outside tasks.-G+D (Garden and Dog)concrete is poured to create a slab in the shape of a rectangular prisim the slab is 50 yards long 1.5 yards wide and 0.25 yard stick how many cubic squares of concrete are needed to create slab
Answer:
18.75 cubic yards
Step-by-step explanation:
Multiply the length width and height by each other.
50 x 1.5 x 0.25 = 18.75
Answer:
18.75 yards³
Step-by-step explanation:
To solve this, we can solve for the volume of the rectangular prism by using the formula: [tex]V= l*w*h[/tex]
We can plug in the values, giving us:
V= 50×1.5×0.25= 18.75 yards³
Order each set of numbers from LEAST to GREATEST.
-4 , -5/4 , 0 , -5, -1.5
Answer:
-5, -4, -1.5, (-5/4) -1.25, 0
Step-by-step explanation:
The higher the negative the lower the number (least).
~Anna
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The perimeter of a standard-sized rectangular rug is 36 ft. The length is 2 ft longer than the width. Find the dimensions.
Answer and Step-by-step explanation:
The length is 10 and the width is 8
Consider circle C with angle ACB measuring StartFraction 3 pi Over 4 EndFraction radians.
Circle C is shown. Line segments A C and B C are radii. Angle A C B is StartFraction 3 pi Over 4 EndFraction radians.
If minor arc AB measures 9 inches, what is the length of the radius of circle C? If necessary, round your answer to the nearest inch.
6 inches
12 inches
18 inches
24 inches
Answer:
12 inches
Step-by-step explanation:
I just took the unit test review on edge
Since the minor arc AB measures 9π inches, the length of the radius of circle C is equal to: B. 12 inches.
Given the following data:
Arc length = 9π inches.Central angle = 3π/4 radians.How to calculate the length of the arc?Mathematically, the length of an arc formed by a circle is calculated by using this formula:
Arc length = rθ
Where:
r is the radius of a circle.is the angle measured in radians.Substituting the given parameters into the formula, we have:
9π = r × 3π/4
36π = 3πr
36 = 3r
r = 36/3
Radius, r = 12 inches.
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kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of 75 miles an hour. Who takes longer to drive the 25 miles? How much loner?
Answer:
I believe it is Kadeem who takes longer by 10 minutes.
Step-by-step explanation:
A person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.
Given that,
Kadeem and Quinn both drive 25 miles.
Kadeem drives at a constant speed of 50 miles an hour.
Quinn drives at a constant speed of 75 miles an hour.
To determine who takes longer to drive the 25 miles.
Distance is defined as the object traveling at a particular speed in time from one point to another.
Here,
Time is taken by Kadeem to reach 25 miles with a speed of 25 miles per hour
= 25 / 50 = 0.5 hour
Time is taken by Quinn to reach 25 miles with a speed of 75 miles per hour,
= 25 / 75 = 0.34 hour
Thus, a person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.
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