Answer:
Small scooters = 6
Large scooters = 4
Step-by-step explanation:
Let S represents small scooter and L represents large scooter
The cost of a small scooter is £80
Mathematically, the cost of S number of small scooters is
80S
The cost of a large scooter is £130
Mathematically, the cost of L number of large scooters is
130L
The total amount spent on both scooters is £1000
Mathematically,
80S + 130L = 1000
So we have 2 unknowns and only 1 equation. Therefore, we have use trial and error method .
Trial and Error Method:
80S + 130L = 1000
80S = 1000 - 130L
S = (1000 - 130L)/80
Let’s suppose they bought 1 large scooter
S = (1000 - 130(1))/80
S = 10.875
Number of scooters cannot be in fraction so 1 doesn’t work
Let’s suppose they bought 2 large scooter s
S = (1000 - 130(2))/80
S = 9.25
Number of scooters cannot be in fraction so 2 doesn’t work
Let’s suppose they bought 3 large scooter s
S = (1000 - 130(3))/80
S = 7.625
Number of scooters cannot be in fraction so 3 doesn’t work
Let’s suppose they bought 4 large scooters
S = (1000 - 130(4))/80
S = 6
So that means they bought 6 small scooters and 4 large scooters.
Similarly, other combinations for scooters don’t work since they yield either fractional value or negative value which cannot be correct.
Therefore, the only possible combination of small and large scooters is
6 Small scooters
4 Large scooters
Verification:
80S + 130L = 1000
80(6) + 130(4) = 1000
480 + 520 = 1000
1000 = 1000 (satisfied)
Please help!
You flip a coin twice.
What is the probability of getting tails and then getting heads?
Write your answer as a percentage.
___%
25% chance
Head-Head
Head-Tail
Tail-Head
Tail-Tail
2/5 = k x 1/6
its k times 1/6 not kx
Answer:
k = 2.5
Step-by-step explanation:
k = 2 / 5 * 6
k = 12 / 5
I NEED HELP FAST
Which statement about the point (0, 5) is true?
It is on the origin.
It is in Quadrant I.
It is on the x-axis.
It is on the y-axis.
Answer:
(0,5) is on the y-axis
Step-by-step explanation:
Since the x value is 0, it is not left or right of (0,0), thus it does not leave the y-axis. Since its y-value Is 5, it goes up 5 units from (0,0) but still it does not leave the y-axis.
Answer:
it is on the y-axis
Step-by-step explanation:
A cylindrical swimming pool has a diameter of 18 feet and a height of 4 feet. About how many liters of water are needed to fill the swimming pool 85% of its total volume? Round your answer to the nearest whole number. (1 ft³ ≈ 28.3 L) To the nearest whole number of liters.
Answer:
31 liters
Step-by-step explanation:
(9^2)4(3.14) = 1017.36
1017.36(.85) = 864.756
864.756/28.3 = 30.56 = 31 liters
through: (4,2) parallel to -5x + 4y = 16
Answer:
Step-by-step explanation:
-5x+4y=16
-5x4y=16
-5*4*2
What is the measure of angle DBA?
Answer:
DBA =110 degree
Step-by-step explanation:
angle DBA is central angle
central angle = arc angle = 110 degree
Answer:110
Step-by-step explanation:
Given the letters from the word: RESPONSIBILITY, what is the probability of choosing one letter and getting an "I"?
letter of i's/number of letters in the word
3/14
I need help with this
Answer:
86 degrees
Step-by-step explanation:
Triangles add up to 180 degrees.
57 + 37 + x = 180
94 + x = 180
Subtract 94 from both sides.
x = 86
What’s the area of the shape ?
Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, r? Use 3.14
for te. Round to the nearest inch.
12 inches
24 inches
38 inches
46 inches
Answer:
12 inches
Step-by-step explanation:
2(3.14)r=75
r = 11.94 ~ 12 inches
Answer:
The answer is A
Step-by-step explanation:
El resultado de las operaciones 5/3 + 17 / 51-14 / 21 es
Answer:
4/3
Step-by-step explanation:
encontrar el mínimo común denominadorienes para que sea mas facil
5/3+17/51-14/21 es 5/3 + 1/3 -2/3 cuando todos son igual de los denominados.
Ahora escribi todos los 3 numeros que iguale lo mismo denominador
5+1-2/3
Ahora solo hace el mas y menos y esta listo
4/3 es lo que pasa cuando haces las operaciones.
A bucket contains 10 balls numbered as follows: 1, 2, 2,3,3,3,3,4,4,5. A
single ball is randomly chosen from the bucket. What is the probability of
drawing a ball numbered 3?
Answer:
4/10 or 40%
Step-by-step explanation:
there are 4 balls with the number 3. 4 balls out of 10. 4/10.
Answer:
1000000000000000000000000000000000000000000000%
Step-by-step explanation:
idk I cant count sooooo....
Please help me with this and please explain how you found your answer.
Find 25% of 30.
A. 32
B. 3.25
C. 32.5
D. 325
Answer:
Huh, the answer option doesn't exist. The answer is 7.5 You can double check my answer by multiplying 7.5*4 because 25% is 1/4th of 100%.
Step-by-step explanation:
Use cross multiplication. I've heard it being called butterfly multiplication. I'll try to represent it as best as I can.
x 25
---- = --------
30 100
You multiply 30 by 25 and x by 100
x*100=30*25
Then solve for x
x*100=750
x=750/100
x=7.5
Hope this helps :)
what is the answer to the second question and third question
Answer:
2. 9:45
3. 2:30
Step-by-step explanation:
can anybody help me on this?
Answer:
length = 62.41 inches
Step-by-step explanation:
Using pythagoras theorem -
Let
a = hypotenuse
b = height
c = length
a^2 = b^2 +c^2
75^2 = 41.6^2 + c^2
Therefore,
75^2 - 41.6^2 = c^2
5625 - 1730.56 = c^2
389.44 = c^2
square root (389.44) = c
62.40544848 = c
Answer:
62 inches.
Step-by-step explanation:
We need to use the Pythagorean theorem to solve this problem. If the diagonal of the screen is 75 inches, and the height is 41.6 inches, then these values represent B and C. We need to find the value of A, the length of the TV. Since [tex]A^{2} + B^{2} = C^{2}[/tex], all we have to do is square 75, which gives us 5625then subtract the value of 41.6 squared (1730.56)and finally, take the square root of the number we are left with after subtracting [tex]B^{2}[/tex] , or 1730.56, from 5625, or [tex]C^{2}[/tex]
5625 - 1730.56 =3894.44
[tex]\sqrt{3894.44}[/tex] = 62.405
Mason cuts a giant circular cookie into 5 equal pieces. Which statements are true about the angle measures of the pieces?
Answer:
A statement that is true about the angle measures of the pieces is that the angle measure of each piece is 72°. This is because there are 360° in a full circle, and if each piece is equal, that means that each piece is a fifth of that. Therefore, the angle measure is 360/5= 72°
3 + (5 + 7) Use the commutative property of operations to reverse the numbers in the expression. Use the associative property of operations to change the grouping after reversing the numbers in the expression. Evaluate the expression.
Answer:
commutative property:
A + B = B + A
So we have
3 + (5 + 7) = (5 + 7) + 3
Now distributive means that:
A + (B + C) = (A + B) + C
So (5 + 7) + 3 = 5 + (7 + 3)
now the equation is easier to solve, because 7 + 3 = 10
5 + (7 + 3) = 5 + 10 = 15
Answer:
Use the commutative property of operations to reverse the numbers in the expression.
✔ 3 + (7 + 5)
Use the associative property of operations to change the grouping after reversing the numbers in the expression.
✔ (3 + 7) + 5
Evaluate the expression.
✔ 15
Step-by-step explanation:
Please solve this with an explanation. will mark as brainiest.
Answer:
[tex]236cm^2[/tex]
Step-by-step explanation:
[tex]A=2(wl+hl+hw)=2*(5*2+3*2+3*5)=62cm^2[/tex]
[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]
[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]
[tex]A=2(wl+hl+hw)=2*(3*3+3*3+3*3)=54cm^2[/tex]
[tex]62+78+78+54=272cm^2[/tex]
3 + 2x ≥ -4 solutions
Answer:
x ≥ -7/2
Step-by-step explanation:
3 + 2x ≥ -4
Subtract 3 from each side
3-3 + 2x ≥ -4-3
2x ≥ -7
Divide each side by 2
2x/2 ≥ -7/2
x ≥ -7/2
Steps to solve:
3 + 2x ≥ -4
~Subtract 3 to both sides
3 - 3 + 2x ≥ -4 - 3
~Simplify
2x ≥ -7
~Divide 2 to both sides
2x/2 ≥ -7/2
~Simplify
x ≥ -3.5
Best of Luck!
Find the probability that a point in the figure chosen at random is in the
shaded kite. *Remember, the are of a kite is found by one half of diagonal
1 times diagonal 2. *
A)1/3
B)1/4
C)3/4
D)1/2
Answer:
Correct option: D) 1/2
Step-by-step explanation:
First we need to find the area of the kite and the area of the rectangle.
The diagonals of the kite are 16 and 12, as they are parallel to the sides of the rectangle.
So the area of the kite is A1 = (1/2) * 16 * 12 = 96
The area of the rectagle is the product of the sides, so A2 = 16 * 12 = 192
Now, to find the probability of a random point being inside the kite, we just need to divide the area of the kite by the area of the rectangle:
Probability = A1 / A2 = 96 / 192 = 1/2
Correct option: D)
Brainliest question please help me now I need it now plz
Diego was trying to write 2^3 * 2^2 with a single exponent and wrote 2^6 explain to Diego what his mistake was and what the answer should be
Answer:
Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be [tex]2^{3+2} = 2^{5}[/tex]
Step-by-step explanation:
Suppose we have a base a, and two exponents, b and c, we have that:
[tex]a^{b} \times a^{c} = a^{b+c}[/tex]
In this problem:
[tex]a = 2, b = 3, c = 2[/tex]
Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be [tex]2^{3+2} = 2^{5}[/tex]
step by step plz
5x^2 + 17x + 6
Answer:
(x + 3)(5x + 2)
Step-by-step explanation:
[tex]5 {x}^{2} + 17x + 6 \\ = 5 {x}^{2} + 15x + 2x + 6 \\ = 5x(x + 3) + 2(x + 3) \\ = \huge \red{ \boxed{ (x + 3)(5x + 2) }} \\ [/tex]
iF J is between C and T, find the value of x and JT. CJ=8x+5, CT=55, and JT=4x+2
x=
JT=
Answer:
x = 4JT = 18Step-by-step explanation:
Given three points J, C and T on a line, if J is between C and T then;
CJ + JT = CT.
Given CJ=8x+5, CT=55, and JT=4x+2, substituting this parameters in the equation above will give;
[tex](8x+5)+(4x+2)= 55\\8x+4x+5+2 = 55\\12x+7 = 55\\12x = 55-7\\12x = 48\\ x = \frac{48}{12} \\x = 4[/tex]
SInce JT = 4x+2
[tex]JT = 4(4)+2\\JT = 16+2\\JT = 18[/tex]
What is 84/100 simplifyed
Answer:
0.84
Step-by-step explanation:
84/100=0.84
hope its right
Answer:
21/25
Step-by-step explanation:
84/100 divide by 4= 21/25
If J is between H and K and HJ = 4x+9, JK = 3x+3 and KH = 33. What is the value of HJ?
Answer:
Step-by-step explanation:
Assuming KH is a straight line with K and H being the beginning and the end of the line. If J is between H and K, it means that J is a point on line HK. Therefore, we can say that
HJ + JK= KH
If HJ = 4x + 9, JK = 3x + 3 and KH = 33, it means that
4x + 9 + 3x + 3 = 33
4x + 3x = 33 - (9 + 3)
7x = 21
Dividing both sides of the equation by 7, it becomes
x = 21/7 = 3
Therefore, HJ = 4 × 3 + 9 = 21
Please Help Me Will give 10 points
Answer:
I would say 1/2 but this question is really confusing.
Step-by-step explanation:
a hexagon has 5 sides measured as 115 , find the sixth side
Answer:
31
Step-by-step explanation:
115 divided by 5 equals 31 and each side measures 31 so the 6th side measures 31
or
Angle sum of hexagon is 720 .
So,116*5(5 side are given)
=580
580+x=720 (x is the sixth side of hexagon)
x=720-580
=140°
After solving a quadratic equation using the quadratic formula, what do the 2 solutions mean?
Answer:
those are your two answers
Step-by-step explanation:
Caroline divides by 8, then adds 9 to get an answer of 12. What was the original number?
Answer:
Original number = 24
Step-by-step explanation:
Look at the picture