The property that allows you to write the equation −4y=−8 as the first step to solving the system of equations is (a) Substitution Property of Equality
The equations are given as:
[tex]x - 3y = 1[/tex]
[tex]x + y = 9[/tex]
Make x, the subject in the second equation
[tex]x = 9 - y[/tex]
Substitute 9 - y for x in the first equation
[tex]9 - y - 3y = 1[/tex]
Collect the like terms
[tex]-y -3y =1 - 9[/tex]
Evaluate the like terms
[tex]-4y =- 8[/tex]
Hence, the property is (a) Substitution Property of Equality
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What is 6,374 in expanded form?
Answer:
6000+300+70+4
Step-by-step explanation:
6000 plus 300 = 6300
70 plus 4= 74
6300+74=6374
Answer:
6,000
+ 300
+ 70
+ 4
-------------
6, 3 7 4
Step-by-step explanation:
Marcus looked out in the audience and saw 40% of the chairs were filled. There were 42 people sitting in the chairs. Enter the total number of chairs in the audience.
Answer:
I say it is 16.8
Step-by-step explanation:
40 x 42
100
= 16.8
The total number of chairs in the audience is 105.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Marcus looked out into the audience and saw 40% of the chairs were filled and 42 people are sitting in the chairs.
Let, 'x' be the total number of chairs.
Therefore, 40% of 'x' is 42 which can be numerically expressed as,
(40/100)×x = 42.
0.4x = 42.
x = 42/0.4.
x = 105.
So, The total number of chairs in the audience is 105.
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Is the following number rational or irrational?
– 1
Choose 1 answer:
A
Rational
B
Irrational
Answer:
B.
Step-by-step explanation:
Irrational as π is irrational.
x^3 + 2x^2 – 24x
^
write the polynomial in factored form
Answer:
x(x+6)(x-4)
Step-by-step explanation:
They all have x in it, which means we can factor out x first.
x(x^2 + 2x -24)
Now we can factor out the inside doing algebra.
Since 6 multiplied by -4 gives us -24 and adding them gives us 2, 6 and -4 works. This means that we can factor out (x+6) and (x-4).
We still have to multiply the x from the beginning, giving us a final equation of
x(x+6)(x-4).
Mary wins £400.
She gives 50%- to her mother.
Many gives 20%, to her sster
She keeps the rest
Work out how much each person receives
please solve this
20×10=
Answer:
20 × 10 = 200
Step-by-step explanation:
Multiply 2 × 1 = 2 and then add the two zeros onto the end to get 200.
IF YOU ANSWER THE THE QUESTIONS I WILL MARK YOU THE BRAINILY PLSSS HELP
Answer:
4. Obtuse
5. Right
6. Acute
Step-by-step explanation:
Pythagorean Theorem.
a^2 + b^2 = c^2
a + b > c = Acute
a + b < c = Obtuse
a + b = c = Right
Which situation is best represented by the following equation?
45w + 123.95 = 753.95
Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?
Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?
Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?
Erica paid $75 3.95 for dance classes. She paid $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?
Answer:
The first one, 14 weeks of dance classes.
Step-by-step explanation:
She paid $753.95 as a total for all of the classes, not just one week. She paid her registration free, which you subtract from 753.95 to get 630.00. She pays 45 per week, so you divide 630 by 45 to get the amount of weeks she attended dance classes, or 14 weeks.
Point J(-4,-6) and point K(4,4) are located on a coordinate grid
Which measurement is closest to the distance between point J and point K in units?
A) 18 units
B) 6 units
C) 13 units
D) 9 units
5. Jada is making circular birthday invitations for her friends.
The diameter of the circle is 12 cm. She bought 180
cm of ribbon to glue around the edge of each invitation.
How
many invitations can she make?
Answer:
Step-by-step explanation:
Jada is making circular invitations
we have d=12 cm, the radius r=6
she needs to find out the circumference
C=2x3.14x r
C=2x 3.14x6=37.68
180/37.68=4.77
she can make just 4 invitations
Balena has a garden in the shape of a circle of radius 10 m.
He is going to cover the garden with grass seed to make a lawn.
Grass seed is sold in boxes.
Each box of grass seed will cover 46 m' of garden.
Balena wants to cover all the garden with grass seed.
Work out an estimate for the number of boxes of grass seed Balena needs.
Show your working out.
Answer:
7
Step-by-step explanation:
→ Work out area of circle
π × 10² = 100π = 314.159 (3 decimal places)
→ Divide area of circle by box area
314.159 ÷ 46 = 6.8295
→ Round answer as you can't get a decimal of a box
7
The area of a circle is given as πr².
The number of boxes of grass seeds required to cover the garden is 9 boxes.
What is a circle?A circle is a round-shaped figure that has no corners or edges.
The area of a circle is given as:
Area = πr²
We have,
The radius of the circle = 10 m
Area of the garden:
= πr²
We can take,
π = 22/7 = 3.14
= 3.14 x 10 x 10
= 314 m²
The area of a box of grass seeds:
= 46 m²
The number of boxes of grass seeds to cover the garden area:
= 314 / 46
= 6.8 boxes
Thus,
The number of boxes of grass seeds required to cover the garden is 9 boxes.
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1 Adrian is buying a new radio.
The radio is on sale.
The sale price of the radio is 20% off the normal price.
The radio Adrian buys is slightly damaged.
The shop takes an extra 15% off the sale price due to the damage.
Work out the overall percentage reduction of the price of the radio.
Total 5 Marks
Answer:
35
Step-by-step explanation:
20 + 15 = 35
hope this helps
really need help on this so please help as soon as you can thanks
Answer:
Option A
Step-by-step explanation:
From the last triangle given in the picture,
x° = 45° + 85° [By the definition of exterior angle of a triangle]
x = 130°
Another way to get the value of x,
By triangle sum theorem,
45° + 85° + y° = 180°
y° = 180° - 130°
y = 50°
And (x° + y°) = 180° [linear pair of angles]
x + 50 = 180
x = 130°
Therefore, x = 130° because 180 - (45 + 85) = 50 and 180 - 50 = 130
Option A is the answer.
Aditya is celebrating his birthday. He invited his friends. He bought a packet of toffees/candies which contains 120 candies. He arranges the candies such that in the first row there are 3 candies, in second there are 5 candies, in third there are 7 candies and so on.
(a) Find the total number of rows of candies.(i) 12 (ii) 10 (iii) 14 (iv) 8
(b) How many candies are placed in last row? (i) 22 (ii) 21 (iii) 24 (iv) 18
(c) Find the difference in number of candies placed in 7th and 3rd row. (i) 8 (ii) 10 (iii) 12 (iv) 14
(d) If Aditya decides to make 15 rows, then how many total candies will be placed by him with the same arrangement? (i) 200 (ii) 150 (iii) 255 (iv) 210
(e) Find the number of candies in 12th row.(i) 21 (ii) 30 (iii) 25 (iv) 19
Answer:
(a) 10, (b) 21, (c) 8, (d) 255, (e) 25Step-by-step explanation:
(a)Total number of candies = 120
The number of candies in the rows form AP sequence:
3, 5, 7, ...The first term is a=3 and common difference is d=2
Sum of n terms:
S = 1/2n(2a + (n - 1)d)Substitute values and solve for n:
120 = 1/2n(2*3 + 2(n - 1)) 120 = 3n + n² - nn² + 2n = 120n²+ 2n + 1 = 121(n + 1)² = 121n + 1 = 11n = 10Correct choice is (ii) 10
(b) Formula for nth term:
a(n) = a + (n - 1)da(10) = 3 + 9*2 = 3 + 18 = 21 candiesCorrect choice is (ii) 21
(c) Use same formula:
a(7) - a(3) = a + 6d - a - 2d = 4d4d = 4*2 = 8Correct choice is (i) 8
(d) Sum of candies in 15 rows
S(15) = 1/2(15)(2*3 + (15 - 1)*2) = 1/2(15)(6 + 28) = 255Correct choice is (iii) 255
(e) Number of candies in 12th row:
a(12) = 3 + (12 - 1)*2 = 3 + 22 = 25Correct choice is (iii) 25
I need help on all of number 2!!!!
9514 1404 393
Answer:
a: 0; b: 1; c: 1; d: ∞; e: 0; f: ∞
Step-by-step explanation:
Simplify the expressions to put the left and right in the same form. Then compare. If the x-coefficients are the same, there will be 0 or ∞ solutions. If they are different, there will be 1 solution.
If the x-coefficients are the same, look at the constants. If they are different, there will be 0 solutions. If they are the same, there will be ∞ solutions.
__
a) -2x -10 = -6x +4x -8 ⇒ -2x -10 = -2x -8 . . . . 0 solutions
b) 0.8x -4.8 = -0.5x +3.4 . . . . 1 solution
c) -1/4x -7/2 = -3x -4 . . . . 1 solution
d) 2x -8 +x = 3x -6 -2 ⇒ 3x -8 = 3x -8 . . . . ∞ solutions
e) 3 -2/5x -12/5 = 2 -2/5x ⇒ -2/5x +3/5 = -2/5x +2 . . . . 0 solutions
f) 6x -6 +21 = 6x +15 ⇒ 6x +15 = 6x +15 . . . . ∞ solutions
Answer:
a)3x+7x-8=18
3x+7x=18+8
10x=18+8
10x=26
x=13/5
b)-8+2x=12x-3
-8+2x-12x=-3
2x-12x=-3+8
-10x=-3+8
-10x=5
x=-1/2
e)4/3x-18+2/3x=7/3x+9
4x-54+2x=7x+27
6x-54=7x+27
6x-7x-54=27
6x-7x=27+54
-x=27+54
-x=81
X=-81
d)-2x-4/5 +8/5 =3x-3
-2x-4+8=15x-15
-2x+4=15x-5
-2x-15x+4=-15
-2x-15x=-15-4
-17x=-15-4
-17x=-19
x=19/17
Step-by-step explanation:
I need help ASAP please help me
Answer:
y=2x
Step-by-step explanation:
It goes up by 2 units every x value so
Answer:
y=2x is your correct answer
Step-by-step explanation:
Is it bad to have a math assignment you don't get?
Answer:
Yes, if yo get an assignment that you don't get, ask the teacher to explain it to you.
Step-by-step explanation:
The owner of a plant nursery wrote down the number of roses on each bush Roses per bush 115 5 25 45 078 4 5 6 6 269 0223 what the smallest number of roses
Answer:
4
Step-by-step explanation:
Ximena is typing a 2500 word essay. In 9 minutes she types 396 words, at this rate can Ximena type the essay in an hour?
Answer:
yes
Step-by-step explanation:
396÷ 9= 44
44×60= 2,640 > 2500
At the given rate, Ximena can type the 2,640 word essay in an hour.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that Ximena is typing a 2500 word essay. In 9 minutes she types 396 words,
The typing per word.
396÷ 9 = 44
Therefore,
44 × 60 = 2,640
Which is greater than 2500
Hence Ximena can type the 2,640 word essay in an hour.
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Josh plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
Can someone answer this please
3. Michael says he can move ABCDE onto A"B"C"D"E" with one transformation by translating ABCDE diagonally so that it moves 8 units up and 10 units right. Is he correct? Explain why or why not.
Answer:
Yes, he is correct
Step-by-step explanation:
if you translate each letter ABCDE to A"B"C"D"E" exactly how he stated it turns out right. For example, C just go 8 squares up and then 10 to the right and do the same for the rest.
Answer:
Michael is incorrect; The shape would have to be flipped at some point, seeing as point B on ADCDE is on the bottom of the shape, whereas point B" on A"B"C"D"E" is on the top of the shape.
Hope this helps, have a nice day!
Step-by-step explanation:
Wait a sec... I'm Michael, so am I right or am I wrong...? (Big confuse)
46.32 - 31.16 rounded
Answer:
15
Step-by-step explanation:
sweet
8. Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour. The rates that Latoya charges for x hours of tutoring are modeled with the function shown. 30x, 06. Who will charge more to tutor for 5.5 hours, Oscar or Latoya? How much more?
Answer:
a. Oscar charges more to tutor for 5.5 hours than Latoya.
b. Oscar charges more by a difference of $1.00 for tutoring 5.5 hours.
Step-by-step explanation:
Charges by Oscar:
1st hour of tutoring = $25
Additional hour or fraction = $15
For tutoring for 5.5 hours, Oscar charges:
1st hour of tutoring = $25
4.5 hours of additional tutoring = $75 ($15 * 5)
Total charges = $100
Charges by Latoya:
= 30x, 0.6, where x = hours of tutoring
Total charges = 30 * 5.5 * 0.6 = $99
Therefore, Oscar charges more for tutoring 5.5 hours than Latoya by $1 ($100 - $99).
Please help I really need it
Answer:
the slope is 3
Step-by-step explanation:
Answer:
m = -1/3
Step-by-step explanation:
You have the right idea with the rise and run. We have a run of 15 and a rise (or I guess in this case, a decline) of -5. Slope is rise over run:
-5/15 = -1/3
This means we have a slope of -1/3.
Alternatively, we could just the points and put them into the slope formula.
We have the points (0,25) and (15,20). We can substitute those values into the formula:
m = y₁ - y₂ / x₁ - x₂
m = 25 - 20 / 0 - 15
m = 5/-15
m = -1/3
Works all the same.
1. Express (0.0425÷2.5) as fraction
A 17/10000 B 17/1.000 C. 17/250 0.17/100 E 17/10
Answer:
Correct Answer : Option BStep-by-step explanation:
0.0425 /2.5=425/25000=17/1000can yall help me!! conclude the following data!!
Answer:
Zoo
4=60
8=120
12=180
16=240
Museum
5=95
10=190
15=285
20=380
ALSOOOO HI BLINK!
Selena went to our Diner. She ordered a hotdog and cheeseburger. How much did she spend at lunch?
Answer:
13.75
Step-by-step explanation:
6.25+7.50=13.75
Answer:
$11.05
Step-by-step explanation:
The hot dog is $3.55, and the cheeseburger is $7.50. Thus, adding them together, the whole total is $11.05.
Hope this helps
blank + blank = internal energy
Answer:
kinectic + electric = internal
Step-by-step explanation:
Internal energy U of a system or a body with well defined boundaries is the total of the kinetic energy due to the motion of molecules and the potential energy associated with the vibrational motion and electric energy of atoms within molecules. Internal energy also includes the energy in all the chemical bonds.
Answer:
The internal energy of a system is identified with the random, disordered motion of molecules; the total (internal) energy in a system includes potential and kinetic energy. This is contrast to external energy which is a function of the sample with respect to the outside environment (e.g. kinetic energy if the sample is moving or potential energy if the sample is at a height from the ground etc). The symbol for Internal Energy Change is ΔU .
Energy on a smaller scale
Internal energy includes energy on a microscopic scale
It is the sum of all the microscopic energies such as:
translational kinetic energy
vibrational and rotational kinetic energy
potential energy from intermolecular forces
One gram of water at zero °Celsius compared with one gram of copper at zero °Celsius do NOT have the same internal energy because even though their kinetic energies are equal, water has a much higher potential energy causing its internal energy to be much greater than the copper's internal energy.
For one week, Xavier rode his bike 5,25 miles each weekday and a total of 13 miles on the
weekend. How many total miles did Xavier ride his bike that week?
5.25 + 13
= 18.25
Xavier rode his bicycle for a total of 18.25mi in one week.
Can u guys help me with this... Thanks ❤️
Answer:
90 divided by 15
Step-by-step explanation:
= 6
So 90/15=6 6 Friends
Answer:
90/15=6 so you gave 6 friends paper clips.
Step-by-step explanation:
take 90 and divide it by 15 and you'll get the amount of friends..(im not sure if this is right though but hopefully it is!) <3 hang in there!