2 of Spades: There's only one 2 of spades card in the deck, so the probability of choosing the 2 of spades is 1/52.
A Jack: There are 4 Jacks in the deck, so the probability of choosing a jack is 4/52, or 1/13.
A red King: There are 2 red kings in the deck, so the probability of choosing one is 2/52, or 1/26.
A Diamond suit: There are 13 diamond cards in the deck, so the probability of choosing one is 13/52, or 1/4.
In a survey of 150 people, 60 like cricket only 40 like football only
and 30 do not like them, by drawing Venn-diagram firid the number
of people who like both:
[tex]the \: answer \: is \: 20. \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
There are 41 students in 6th grade Group A of a junior high school,
and the number of boys is 3 more than the number of girls.
How many boys and girls are there in the class, respectively?
Answer:
23 boys 21 girls
Step-by-step explanation:
so what i would do is 41/2 =20.5 (we round up becaue its people) 21
so if there are 3 more boys then we have 23 boys and 21 -3(to make it equal in half) 18 girls
i might be wrong im not in this level of math yet
at davidson's bike rentals it cost $48 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?
Answer:
About $5.33
Step-by-step explanation:
If u want to find out How many dollars per hour u do 48 divided by 9
Hope this helps
Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend. She purchased the
motorized scooter for $600 and is paying $18.75 a week to her friend until it is paid off.
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Select the equation and solution for the number of months, x, It takes her to have $150 left to pay.
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
B. 18.75x - 600 = 150
Clarissa's sister will have $150 left to pay after 8 weeks.
C. -18.75x + 150 = 600
Clarissa's sister will have $150 left to pay after 24 weeks.
D. 18.75x - 150 = 600
Clarissa's sister will have $150 left to pay after 8 weeks.
Answer: A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
Step-by-step explanation:
Given, Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend.
Cost of scooter = $600
Weekly installment = $18.75
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Let 'x' be the number of weeks .
Money she left to pay = (Cost of scooter ) - (Weekly installment) x (Number of weeks)
[tex]\Rightarrow\ 150=600-18.75x[/tex]
[tex]\Rightarrow\ 18.75x=600-150=450\\\\\Rightarrow\ x=\dfrac{450}{18.75}=\dfrac{45000}{1875}=24[/tex]
i.e. After 24 months when she has $150 left to pay for the motorized scooter.
Hence, the correct answer is :
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
Answer:
B)-18.75x+600=150
Step-by-step explanation:
Got it right on my test!
The diagram shows a regular pentagon with centre O.
Answer:
56
Step-by-step explanation:
The size of angle x is 54°.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
All the diagonals of a pentagon are equal so, their opposite angles of equal diagonals are also equal.
The angle 'O' is a complete angle
∴ ∠O = 360°
Angle between diagonals =360/5= 72°
The sum of all interior angles of triangle is 180°
x+x+ 72°=180°
2x=180-72
2x=108°
x=54°
Hence, the size of angle x is 54°.
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Solve for x in the diagram below.
3x
75°
T =
Answer:
x=35
Step-by-step explanation:
The 2 angles are on a straight line together. This means they are supplementary. When they are added together, they must equal 180 degrees.
3x+75=180
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
75 is being added to 3x. The opposite of addition is subtraction. Subtract 75 from both sides.
3x+75-75=180-75
3x=180-75
3x=105
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
3x/3=105/3
x=105/3
x=35
x is equal to 35.
The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the parallel lines and transversal. Sorry! Would appreciate if you give the answer by Tuesday! Thanks
Answer:
At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.
At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.
Step-by-step explanation:
Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.
We know that the sum of interior angles equals 180°.
So, a + b = 180°
a + 14a = 180°
15a = 180°
a = 180/15
a = 12°
At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°
The angle vertically opposite to a is d = a = 12°
The angle vertically opposite to a is b = e = 168°
At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°
the angle vertically opposite to angle b is g = b = 168°
the angle vertically opposite to f is h = 12°
Given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:
m<1 = 12°
m<2 = 168°
m<3 = 168°
m<4 = 12°
m<5 = 12°
m<6 = 168°
m<7 = 168°
m<8 = 12°
Applying the knowledge of ratio, transversal and parallel lines, we can determine the measures of all 8 angles that are formed when a transversal intersects two parallel lines as shown in the image attached below.
Let < 1 and < 6 be the two same-side interior angles whose measures are in the ratio, 1:14.
Thus:
m<1 : m<6 = 1 : 14Recall:
Same-side interior angles are always supplementary. That is,
m<1 + m<6 = 180 degrees.
Let's apply ratio to find the measure of <1 and <6.
m<1 = ratio of <1 / sum of ratio x 180[tex]m \angle 1 = \frac{1}{1 + 14} \times 180\\\\m \angle 1 = \frac{1}{15} \times 180\\\\m \angle 1 = 12^{\circ}[/tex]
m<6 = ratio of <6 / sum of ratio x 180[tex]m \angle 6 = \frac{14}{1 + 14} \times 180\\\\m \angle 6 = \frac{14}{15} \times 180\\\\m \angle 6 = 168^{\circ}[/tex]
Since we know the measure of <1 and <6, we can find the measure of others as follows:
m<2 = m<6 = 168° (corresponding angles are congruent)m<3 = m<6 = 168° (alternate interior angles are congruent)m<4 = m<1 = 12° (vertical angles are congruent)m<5 = m<1 = 12° (corresponding angles are congruent)m<7 = m<6 = 168° (vertical angles are congruent)m<8 = m<4 = 12° (corresponding angles are congruent)In conclusion, given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:
m<1 = 12°
m<2 = 168°
m<3 = 168°
m<4 = 12°
m<5 = 12°
m<6 = 168°
m<7 = 168°
m<8 = 12°
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How do you graph Y =4 find the slope of a line that is parallel to it
Answer:
Answer is below
Step-by-step explanation:
I graphed the equations on the graph below.
The slope of y = 4 and y = 5 is 0 because the lines are flat and constant, instead of increasing or decreasing.
(THIS IS 90 POINTS!!!)
Solve the following system of equations:
x − 2y = 5
2x − 4y = 10
A. Infinitely many solutions
B. No solutions
C. (0, 0)
D. (5, 10)
Answer:
A. Infinitely many solutions
Step-by-step explanation:
x − 2y = 5 | × (- 2)
2x − 4y = 10
- 2x + 4y = - 10
2x - 4y = 10
----------------------- +
- 2x + 2x + 4y - 4y = - 10 + 10
0 = 0
A. Infinitely many solutions
Fully Factorise 5p^2 + 13p
Answer:
The answer is p(5p+13).
Step-by-step explanation:
You have to take out the common factors :
[tex]5 {p}^{2} + 13p[/tex]
[tex] = p(5p + 13)[/tex]
Therefore, the factorisation stop here. As 5 and 13 are not common to each other.
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped you plz don't forget to thnk me...
The expression √7x is equivalent to the expression x√7
True or false
Answer:
False
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
√7x is the square root of 7x
while x√7x is equivalent to x multiplied ythe square root of 7
Please help. Sooooo confused. GOAL is a quadrilateral in which GO is parallel to AL. If the measures of angle G=angle O = 40 degrees. What are the measures of angle A send L. It is not mentioned that A is equal to L,so?
Answer:
Angle A and L are 140 degrees each.
Step-by-step explanation:
Since GO and AL are parallel to each other, we can use the same side interior theorem to figure out angle A and L. Let's focus on GA first. We know that same side interior angles are supplementary (sum is 180 degrees). We know angle G is 40 degrees, so to figure out angle A, you do 180-40 which equals 140. So angle A is 140 degrees. You repeat this process for OL and you should also get 140 degrees for L.
Manish and Jhanavi each receive an equal bonus. Manish has 1/2 fraction of allowance as saving accounts , 1/4 of the fraction he spend at the mall. Jhanavi has 1/3 fraction of allowance as saving accounts , 3/5 of the fraction she spend at the mall. If the allowance of each is Rs. 2520,find the amount left with Manish and Jhanavi?
Answer:
Step-by-step explanation:
Manish:
[tex]Savings=\frac{1}{2}*2520\\\\= Rs.1260\\\\Amount spend at mall=\frac{1}{4}*2520\\\\=Rs.630[/tex]
Amount left with Manish = 2520 - (1260 + 630) = 2520 - 1890 = Rs. 630
Jhanavi:
Savings = (1/3) *2520 = Rs. 840
Amount spend at mall = (3/5) * 2520
= 3 * 504
= Rs. 1512
Amount left with Jhanavi = 2520 - (840 +1512) = 2520 - 2352
= Rs. 168
Classify the quadrilateral whose vertices are: A(3, 2); B(0,5);
C(-3, 2); D(0, -1). Select all that apply.
A) square
B) rhombus
C) trapezoid
D) parallelogram
E) rectangle
F) none of these
Answer:
select answers: A), B), C), D), and E)
Step-by-step explanation:
Please see attached image with the figure obtained by joining the given points.
Notice that the figure is that of a square, and a square happens to be a very special case of a bunch of other figure definitions, like:
rectangle (four side figure with parallel sides and right angles at the vertices) So the square is a special type of rectangle.
Rhombus (four side figure with all sides of the same length) So the square is a special type of rhombus)
Trapezoid (four side figure with at least two parallel sides), So the square is a special type of trapezoid.
Parallelogram (four side figure with two pairs of parallel sides) So the square is a special type of parallelogram.
Therefore you need to select answers: A), B), C), D), and E)
HELP FAST ILL GIVE A DECENT AMOUNT OF POINTS! A cylindrical water tank with an open top has a volume of 3818m3 and a radius of 9 m. Calculate the height of the tank. Round your answer to the nearest whole number.
Answer:15m
Step-by-step explanation:
The volume of a cylinder= πr^2h
Radius=9m
Volume=3818
Height=?
3818=22/7 x 9^2 x h
26726=22 x 81 xh
26726=1782h
H = 14.9
Height= 15m
If there is something that is not clear, let me know
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
Step-by-step explanation:
The answer is b
1
A recipe calls for
cup of milk. If you make 3
times the recipe, how much milk do you need?
2
O
cups
cups
1
2 1 / 2
cups
hose
cups
Answer:
I don't really understand your question, but I still think I can explain.
Step-by-step explanation:
The original recipe is doing the recipe once. If you want to make the recipe three times bigger, you have to do all of the ingredients three times bigger, including the milk.
Three times bigger also can be written as 3 × _
So whatever the recipe says for the milk, put the number in the blank and multiply it by three.
Answer:
2 1/3
Step-by-step explanation:
Which of the following is not an attribute of parallelograms? Opposite sides are parallel. Consecutive angles are supplementary. Diagonals bisect each other. Diagonals are congruent.
Answer:
Diagonals are congruent
Step-by-step explanation:
The diagonals of a parallelogram are not congruent; one is longer than the other
Please help me simplify these expressions
Answer: First answer is a^2 b^3. Second one is 3m^2n^5. Thrid is 15x^7y^3
Step-by-step explanation:
1. there is no numbers to multiply together, so just add the a's and b's
2.3 stands alone. add the m's and n's together. getting m^2 and n^5
3. Do 5*3 getting 15, add the x's together, same with the y's getting the answer of 15x^7y^3
Lmk if it helps. :)
PLEASE HELP ASAP, BRAINLEST
Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5.
Enter your answer into the blank equation box.
Answer:
equation in standard form is -3x + 5y = -26
Step-by-step explanation:
standard form of equation of line is
Ax + By = C
where A,B and C are integers.
such line has slope -A/B
Another form of line equation is slope intercept form, which can be written as
y = mx+ c
since in problem m = 3/5
thus, equation is
y = 3/5 x + c
Given that (2,-4) passes through this line, this point will satisfy the above equation
-4 = 3/5 *2 + c
=> - 4 = 6/5 + c
=> c = -4 -6/5 = (-4*5 - 6)/5
=> c = (-20 - 6)/5 = -26/5
Thus, equation in slope intercept form is
y = 3/5 x -26/5
lets rewrite this equation in Ax + By = C
Multiplying LHS and RHS by 5 we have
5y =( 3/5 x)* 5 - (26/5 * 5)
=> 5y = 3x - 26
we have to bring 3x on LHS for that
we subtract 3x from both side
5y -3x = 3x - 26 -3x
=> 5y -3x = - 26
rearranging the equation
-3x + 5y = -26
Thus, equation in standard form is -3x + 5y = -26
What is the value of x in the equation 4(2x + 14) = 0? a 9 b 7 c −7 d −9
Answer:
x = -7
Step-by-step explanation:
4(2x + 14) = 0
Divide each side by 4
2x+14 = 0
Subtract 14 from each side
2x+14-14 = 0-14
2x= -14
Divide each side by 2
2x/2 = -14/2
x = -7
Answer:
C, -7
Step-by-step explanation:
Use distributive property to get: 8x +56 = 0
Isolate x to get: 8x = -56
Then divide each side by 8: x= -7
The answer is C
. It was a very freaky weather day. The temperature started out at 7⁰C in the morning and went to -15⁰C at noon. It stayed at that temperature for eight hours and then rose 8⁰C. How far below the freezing point (0⁰C) was the temperature at 8 p.m.?
Answer:
8 hours after noon (12 pm) is at 8 pm
At 8pm, temperature was -15°C
So, temperature was -15° below freezing point (0°)
Answer:
- 15
Step-by-step explanation:
8 hours after noon is at 8 p.m.
At 8 p.m., temperature was -15 C
Thus, temperature was -15 below freezing point at 8 p.m.
Hope that helps!
a square rug has a perimeter of 64 cm. george says the side lenght of the square is 8cm . bob thinks it is 16cm. who is correct ?
Answer:
16 cm
Bob is correct
Step-by-step explanation:
Perimeter of a square = 4 × side’s length
Then
the side length = 64/4 = 16
Answer:
perimeter of square =4l
64/4cm=l
l=16cm
therefore
bob is correct.
Can some one plz help me solve this problem! I need help ASAP ! Help me I will mark you as brainlizt!
Answer:
a) y = -5 b) y = -4 c) y = 4 d) y = 11
Step-by-step explanation:
a) (-2+2)²-5
b) (-1+2)²-5
c) (1+2)²-5
d) (2+2)²-5
What is the decimal equivalent of the fraction 8/10
Answer:
0.8
Step-by-step explanation:
The fraction 8/10 is 0.8 as a decimal because you divide 8 by 10.
The decimal equivalent of 8/10 is equal to 0.8
What is a decimal number?A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.
Given here: The proper fraction is given as 8/10
All fractions can be converted into decimals by dividing the numerator by the denominator. For example, the fraction 45 represents 4 out of 5, or 4 divided by 5. This fraction can be converted into a decimal by dividing 4 by 5.
Thus we have 8/10=4/5
=0.8
Hence, the decimal equivalent of 8/10 is equal to 0.8
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Given 4 coordinate points — A(2, 0), B(4, 0), C(5, –2), D(1, –2) â€" identify the figure showing a
rotation of 180Âabout the origin O.
Answer:
Option B
Step-by-step explanation:
First we would identify the coordinates of the points before they are rotated.
A(2, 0), B(4, 0), C(5, -2), D(1, -2)
Plot a graph with the coordinates.
We find that the figure appears in the fourth quadrant.
Find attached the diagram.
To rotate the figure obtained by 180° about the origin zero, we would change the signs of the coordinates to become opposite.
That is positive sign becomes negative and vice versa:
A(-2, 0), B(-4, 0), C(-5, 2), D(-1, 2)
This implies that we rotated the figure 90° twice. When this is done, the figure would appear in second quadrant.
Plotting the new coordinates on a graph would give option B.
Solve 0.48 ÷ 0.04 Help me please
Answer:
12
Step-by-step explanation:
[tex]0.48\div 0.04[/tex]
If you multiply both terms by 100, the result will be the same, because 100/100=1. You can therefore rewrite this as 48/4, which is equal to 12. Hope this helps!
Answer:
12
Step-by-step explanation:
0.48x100=48
0.04x100=4
48/4=12
Bryan owns a pet store. He puts one parrot in per cage, he has one parrot extra. If he puts two parrots per cage, he has a cage extra. How many parrots and cages does he have?
Answer:
4 parrots
3 cages
Step-by-step explanation:
Bryan has one more parrot than cages and one more cage than half the number of parrots. The following system of equations can be modeled for the number of parrots (P) and cages (C):
[tex]P=C+1\\C-1=\frac{P}{2}[/tex]
Solving the linear system:
[tex]P-1-1=\frac{P}{2}\\0.5P = 2\\P=4\\C=P-1=4-1=3[/tex]
Bryan has 4 parrots and 3 cages.
Using Ratios to Solve Problems - Item 1457 Question 4 of 7 Evan's family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 300 miles in 6 6 hours. The second day, they drove 250 250 miles in 5 5 hours. The third day, they arrived at the park after driving for 3 3 hours. How many miles did they drive on the third day?
Answer:
150 miles
distance travelled on the third day = 150 miles
Step-by-step explanation:
Note: it was given that they drove the same speed throughout the trip. That means their speed is constant for all days;
For the first day
distance = 300 miles
time = 6 hours
Speed = distance/time
Speed = 300/6 = 50 mph
on the third day;
time = 3 hours
Speed = speed on first day = 50 mph
distance = speed × time
distance = 50 mph × 3 hours
distance = 150 miles
distance travelled on the third day = 150 miles
Describe ways you could look at two shapes and tell that one is not the image of the other under a rigid transformation
Answer:
see below
Step-by-step explanation:
a rigid transformation preserves lengths and angles
if the shapes don't look the same or they are the same shape but smaller or bigger than the other one it's not a rigid transformation
if the corresponding angles are the same that works too
