Answer:
A) 5x + 2y = 13
B) -9x + 7y = 19 We'll multiply equation A) by -(7/2)
A) -35/2 x -7y = -(91/2) then we'll add equation B)
B) -9x + 7y = 19
-53/2x = -53/2
x = 1
2y = 13 -5
y = 4
Step-by-step explanation:
Use the zero product property to find the solutions to the equation x2 - X-6 = 0.
x= -3 or x = -2
x= -3 or x = 2
Ox= -2 or x= 3
O x= 2 or x = 3
Answer:
third option
Step-by-step explanation:
Given
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Answer:
x = -2 or x = 3
Step-by-step explanation:
The answer to your question is C.
Answer the following: What is the area of the circle? (Will give brainliest)
Answer:
A = 25pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 5
A = pi 5^2
A = 25pi
Brainliest for whoever gets this right
Please help ASAP!!!
Answer :
x = 2
y = -1
I hope it helps
Please help!!
Complete each table
Y=1/2x+3
What is the solution to the system of equations?
Answer:
Solution of the system of equations will be (6, 6).
Step-by-step explanation:
Table for the first equation,
[tex]y=\frac{1}{2}x+3[/tex]
x 0 2 4 6 8
y 3 4 5 6 7
(x, y) (0, 3) (2, 4) (4, 5) (6, 6) (8, 7)
We have got the values of y by substituting the values of x in the given equation for the table.
Similarly, for the other equation,
y = 2x - 6
x 0 2 4 6 8
y -6 -2 2 6 10
(x, y) (0, -6) (2, -2) (4, 2) (6, 6) (8, 10)
By analyzing both the tables we find (6, 6) is a common point in both the tables.
That represents the points of intersection of both the lines.
Therefore, solution of the system of equations will be (6, 6)
A battalion of 880 people is made up of four companies. Each company is made up of five platoons. Each platoon contains four squads. If each company has the same number of people, as do each platoon and each squad, how many people are in each squad?
Answer:
11 people are in each squad.
Step-by-step explanation:
A battalion of 880 people is made up 4 companies.
880/4 = 220 people
which means 1 company is made up of 220 people.
Each company is made up of 5 platoons.
220/5 = 44
which means each platoon is made up of 44 people
Each platoon contains 4 squads
44/4=11
which means each squad contains 11 people.
therefore each squad contains 11 people.
Solve px + 12 = 17 for x.
A. x =5/p
B. X =29/p
C. X= 5-p
D. x = p + 5
Answer:
A. [tex] x = \frac{5}{p} [/tex]
Step-by-step explanation:
[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]
Alex and Thomas share 30 sweets. They divide them in the ratio 3:2.How many sweets does Alex and Thomas receive?
Answer:
Alex: 18
Thomas: 12
Step-by-step explanation:
A : T : TOTAL
3 : 2 : 3 + 2 = 5
total number of units : 5
total number of sweets : 30
1u = 30 ÷ 5 = 6
Alex = 3u = 3 × 6 = 18
Thomas = 2u = 2 × 6 = 12
Name the angle pairs that are vertical angles. Use paper and pencil. Describe an instance where you see vertical angles every day.
Answer:
Step-by-step explanation:
angle pair for vertical angles is called straight angle....
the joining between two pages of a book is a vertical angle....
the road itself is a vertical angle
The number is even. It is more than 1 but less than 100. Is it greater than 20. It is less than 5×7. The sum of the digits is 6. Is it evenly divisible by 4
Answer:
24
Step-by-step explanation:
Alright so the number has to be above 20 and below 35.
It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34
Since the sum of the digits has to be 6, the only number from that list that it can be is 24.
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
Answer:
24
Step-by-step explanation:
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
PLEASE ANSWER ASAP
10 POINTS!!!!!!!
Answer:
Range { -8,-3,5,7}
Step-by-step explanation:
The range of the function is the output values
Range { -8,-3,5,7}
Answer:
D
Step-by-step explanation:
8, -3, 5, 7
List of all possible outputs
What are the coordinates of M' after triangle MNO is reflected over the y-axis, and rotated 90 degrees clockwise with
the origin as the center of rotation?
Answer:
I'm not sure, but I think it is (0, -6).
Which is an example of a survey involving quantitative data? the favorite food of each person the number of cavities each person has had the color of the walls in each person’s bedroom the type of car that each person owns
Answer: Number of Cavities
The amount of energy it takes to lift a box might be a function of which of
the following?
O A. The time of day that you are lifting ít
B. The weight of the objects inside the box
C. The shape of the box
Answer:
The amount of energy it takes to lift a box might be a function of the weight of the objects inside the box. Work is proportional to force and distance. The force of the box is the weight itself of the box. Hence the answer to this problem is B.
Step-by-step explanation:
15. Solve for x in the diagram.
Х
9
12
A. 15
B. 25
C. 14
O D. 37
Answer:
15Solution,
Hypotenuse(h)=X
Perpendicular (p)=9
Base(b)=12
Now,
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]
hope this helps...
Good luck on your assignment...
The length of the hypotenuse in the given triangle is A. 15 units.
This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, the base of the triangle is 12 units and the height is 9 units.
∴ x² = 9² + 12².
x² = 144 + 81.
x² = 225.
x = + 15 units.
So, the length of the hypotenuse is 15 units.
learn more about Pythagoras's theorem here :
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A fruitshake costs R2,00 more than a chocolate milkshake. If 3 fruitshakes and 5 chocolate milkshakes cost R78,00, determine the individual prices.
Step-by-step explanation:
Let F represent fruitshake and C chocolate milkshake
one fruitshake cost more 2R more than chocolate shake and
3F + 5C = R78,00
Then (78 - 6) ÷ 8 = 9
a fruitshake costs R11,00 and chocolate milkshake costs 9R,00
In a bag with 3 red chips, 2 yellow chips, and 1 green chip, what is the probability of getting NO yellow chips on the first 2 tries? A. 1/3 B. 2/3 C. 2/5 D. 3/5
Answer:
B.
Step-by-step explanation:
total chips = 6
chips not including yellow= 4
simplify 4/6 = 2/3
Help please!!! A.) C and B B.) C and D C.) L and W D.) A and B
For what values (cases) of the variables the expression does not exist: a/2x−4 (That equation is a fraction)
Answer:
When x=2 the expression is undefined
Step-by-step explanation:
When the denominator is zero, the expression is undefined
2x-4 =0
2x=4
x=4/2
x=2
When x=2 the expression is undefined
Twenty-five patients were seen in the emergency room yesterday. The number of
clinical laboratory and X-ray procedures performed on each patient were recorded
as: 5, 3, 7, 4, 6, 7, 2, 1, 4, 6, 3, 3, 2, 2, 5, 7, 4, 5, 3, 6, 2, 1, 4, 3,5. Calculate:
Mean (arithmetic) number of lab and X-ray procedures per patient.
Answer:
the mean (average) is 4
Step-by-step explanation:
add all the numbers together (100) and then divide by the number of patients (25).
The hypotenuse of a triangle is 19cm calculate the length of the shortest side
Answer:
It is either 1 or 0.9
Step-by-step explanation:
COS=. adjacent / hypotenuse
adjacent = x
hypotenuse =19
COS= x / 19
cross multiply
x = COS (9)
x=0.91113026
The length of shorter side is 9.5 cm.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Ratio = 1 : 2 : 3
Hypotenuse = 19 cm
The sides are x, 2x and 3x.
x+ 2x + 3x = 180
6x= 180
x= 30 degree
and, 3x= 90 degree
Now, using Trigonometry
sin 30 = y/ 19
y= 19/2
y= 9.5
Hence, the length of shorter side is 9.5 cm
Learn more about Trigonometry here:
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0.8 divided by 0.2 equals?
Answer:
4
Step-by-step explanation:
45% of a 300ml drink is concentrated pineapple juice. The rest is water. Find the volune of water that must be added so that 40% of the drink is concentrated pineapple juice.
Answer:
37.5 mL
Step-by-step explanation:
If x is the volume of water, then:
(0.45)(300) + (0)(x) = (0.40)(300 + x)
135 = 120 + 0.40x
15 = 0.40x
x = 37.5
The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
45% of a 300ml drink is concentrated pineapple juice.
If x is the volume of water, then we get;
(0.45)(300) + (0)(x) = (0.40)(300 + x)
135 = 120 + 0.40x
15 = 0.40x
x = 37.5
Hence, The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.
Learn more about the unitary method;
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Question is the ScreenShot C:
A. 12
B. 13
C. 16
D. 18
Answer:
B. 13
Step-by-step explanation:
[tex]10+(\frac{1}{2}) ^{4} *48=\\\\10+\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*48=\\\\10+\frac{1}{16}*48=\\\\10+\frac{48}{16}=\\\\10+3=\\\\13[/tex]
Answer:
B. 13 is the answerStep-by-step explanation:
First, use PEMDAS
Parenthesis, Exponents, multiplication, division, addition, subtraction
1/2 * 1/2 * 1/2 * 1/2 = 1/16 = Parenthesis and Exponents
1/16*48 = 48/16 = 3 = Multiplication and Division
3+10 = 13 = Addition
This can conclude that 13 is the answer.
What is the inequality of -3x-3<6
Answer:
x > -3
Step-by-step explanation:
-3x - 3 < 6
Add 3 to each side
-3x - 3+3 < 6+3
-3x < 9
Divide by -3 remembering to flip the inequality
-3x/-3 > 9/-3
x > -3
Determine the value of w. options: A) 90° B) 155° C) 89° D) 25°
Answer:
Please mark me brainliest and I hope this helped!
w = 89°
Step-by-step explanation:
For this triangle, we have to get the supplementary angle of 122°. 180° - 122° is 58°. We then take 58° and add it to 33°. That is 91°. To find w, we subtract 91° from 180°. That gives us 89°.
Answer:
89
Step-by-step explanation: I took the test
Find the measure of each marked angle.
X degree= ? Degree
(X+50) Degree =? Degree
(180-3x) Degree =? Degree
(Simplify your answers. Type an integer or a fraction.)
Answer:
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Step-by-step explanation:
In a triangle, the sum of all inside angles must be 180 degrees.
In this question:
The inside angles are: x, x + 50 and 180 - 3x.
Then
x + x + 50 + 180 - 3x = 180
2x - 3x = -50
x = 50
So
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Solve for b
117
63
27
160
Answer:
27
Step-by-step explanation:
180-153=b
b=27
Answer:
B) 27
Step-by-step explanation:
Because 153 and b are a linear pair, their angle measures must add up to 180 degrees. Therefore:
153+b=180
b=180-153
b=27
Hope this helps!
Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55 this price includes a 15% loyalty discount. before the discount, the trainers were priced at £38 work out the price of the watch before the discount
please help me
I'm struggling
Answer:
£25
Step-by-step explanation:
Total price- £53.55
Pair of trainers cost- £38 before discount
Discount= 15%
Cost of pair of trainers after discount:
£38 - 15%= £38*0.85= £32.3Price of the watch after discount:
£53.55 - £32.3= £21.25Price of the watch before discount:
£21.25/0.85= £25Brainliest for whoever gets this right !!!
Answer :
[tex](x1 \: \: y1) = ( - 2 \: - 5) \\ (x2 \: \: y2) = (10 \: \: 7)[/tex]
I hope it helps :)
What is the value of x?
Answer:
x = 28
Step-by-step explanation:
We can use ratios to solve
x x+10
------ = -----------
42 42+15
Using cross products
42(x+10) = x(42+15)
42x+420 = 57x
Subtract 42x from each side
420 = 15x
Divide by 15
420/15 = x
28 =x