Answer:
2
Step-by-step explanation:
There are three numbers on the first spinner. Two are not even (1 and 3).
So there are 2 possible outcomes that work: 1 and 6 or 3 and 6.
Final answer:
There are two outcomes that meet the criteria of the question: not showing an even number on the first spinner and showing a 6 on the second spinner.
Explanation:
The question asks how many outcomes result in an odd number on the first spinner and show a 6 on the second spinner. The first spinner has three equal sectors labeled 1, 2, and 3, of which two are odd (1 and 3). The second spinner has four equal sectors labeled 3, 4, 5, and 6, but we are only interested in the outcome when the spinner shows a 6.
Since we want the first spinner to show an odd number, we ignore the 2, leaving us with 1 and 3 as the possible outcomes for the first spinner. For the second spinner, we are only interested in the outcome of 6. This means we multiply the two outcomes from the first spinner (1 and 3) by the one outcome from the second spinner (6), resulting in two possible outcomes: (1,6) and (3,6).
Therefore, the correct answer is there are two outcomes that do not show an even number on the first spinner and show a 6 on the second spinner.
Kyle’s parents told him that for every 5 hours of homework or reading he completes, he will be able to play 3 hours of video games. His friend victor’s parents told their son that he can play 30 minutes for every hour of homework or reading time he completed. If both boys spend the same amount of time on homework and reading this week, which boy gets more time playing video games
Answer:
Kyle
Step-by-step explanation:
Kyle:
Kyle’s parents told him that for every 5 hours of homework or reading he completes, he will be able to play 3 hours of video games.
Victor:
Victor’s parents told their son that he can play 30 minutes for every hour of homework or reading time he completed. If Victor spends 5 hours doing homework or reading, then he could play
[tex]30\cdot 5=150[/tex] minutes
that is
[tex]120+30=2[/tex] hours [tex]30[/tex] minutes (less than 3 hours).
Hence, if both boys spend the same amount of time on homework and reading this week, then Kyle will have more time to play video games.
QUESTION 5 of 10: Your laptop died and you need a new one for work NOW! The one you need will cost $500. You do not have the cash in
your checking account, so you decide to borrow the money from your savings account. You have $9,000 in your savings account gaining
3% interest per year. If you don't replace the $500 in the savings account, how long will it take before the balance again reaches $9,000?
a) 1 year
b) 2 years
c) 5 years
Answer:
B
Step-by-step explanation:
9000-500 = 8500
8500 × (3/100) =255
8500 + 255 = 8755
8755 × (3/100) = 262.65
8755 + 262.65 = 9017.65
hence, the answer is B
*please correct me if im wrong ^^
Answer:
b) 2 years
Step-by-step explanation:
If you have $9000 in the saving account, and you take $500, you are left with:
$9000 - $500 = $8500
in one year you will have 3% more of the 8500 which is:
8500/100*3 = $255
so in one year the number on your savings account is:
8500 + 255 = $8755
and by the next year you will have 3% more of the 8755 which is:
8755/100*3 = $262.65
so in two years the number on your savings account is:
8755 + 262.65 = $9017.65
which is a little bit more than the $9000.
so it will take 2 years until the calance again reaches $9000
Someoneee pleaseee helpp!!!
Answer:
(x, y ) → (x + 6, y + 12 )
Step-by-step explanation:
We require to determine the horizontal and vertical shift to go from one of the points on the line to the corresponding point on the image
Consider point V with x- coordinate - 8 and y- coordinate - 2
The corresponding point is V'
with x- coordinate - 2 and y- coordinate 10
Thus V → V' is 6 units right in the horizontal direction and 12 units up in the vertical direction.
These are the same shifts for W → W'
Thus the translation rule is
(x, y ) → (x + 6, y + 12 )
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. q2+11q
Answer:
[tex](q+\frac{11}{2})^2-\frac{121}{4}[/tex]
Step-by-step explanation:
We have been given an expression [tex]q^2+11q[/tex]. We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
We know that a perfect square trinomial is in form [tex]a^2+2ab+b^2[/tex].
To convert our given expression into perfect square trinomial, we need to add and subtract [tex](\frac{b}{2})^2[/tex] from our given expression.
We can see that value of b is 11, so we need to add and subtract [tex](\frac{11}{2})^2[/tex] to our expression as:
[tex]q^2+11q+(\frac{11}{2})^2-(\frac{11}{2})^2[/tex]
Upon comparing our expression with [tex](a+b)^2=a^2+2ab+b^2[/tex], we can see that [tex]a=q[/tex], [tex]2ab=11q[/tex] and [tex]b=\frac{11}{2}[/tex].
Upon simplifying our expression, we will get:
[tex](q+\frac{11}{2})^2-\frac{11^2}{2^2}[/tex]
[tex](q+\frac{11}{2})^2-\frac{121}{4}[/tex]
Therefore, our perfect square would be [tex](q+\frac{11}{2})^2-\frac{121}{4}[/tex].
Adding 121/4 to the equation will make it a perfect square to have [tex]q^2+11q + \frac{121}{4}[/tex]
The standard form of a quadratic equation is expressed as [tex]ax^2+bx+c=0[/tex]
Given the equation [tex]q^2+11q[/tex], we need to add a constant value that will make the expression a perfect square.
To complete the square, we will add the square of the half of the coefficient of q to the equation
Coefficient of q = 11
Half of the coefficient = 11/2
Square of the result = (11/2)² = 121/4
Adding 121/4 to the equation will make it a perfect square to have [tex]q^2+11q + \frac{121}{4}[/tex]
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sharif ran a 2 mile race at an average speed of 8 miles per hour. if arif ran the same race at an average speed of 6 mile per hour, how many minutes longer than sharif did arif take to complete the race?
Divide miles ran by speed to get time:
2 miles / 8 miles per hour = 0.25 hours = 15 minutes.
2 miles / 6 miles per hour = 0.33 hours = 20 minutes.
20 minutes - 15 minutes = 5 minutes longer.
Final answer:
After calculating the time taken by each runner to complete the 2-mile race, we find that Arif took 5 minutes longer than Sharif to finish.
Explanation:
To determine how many minutes longer Arif took to complete the race compared to Sharif, we need to calculate the time each runner took to complete the 2-mile race. First, we calculate Sharif's time. Since speed is distance divided by time, we can rearrange the formula to find time: time = distance/speed.
For Sharif:
Distance = 2 miles
Speed = 8 miles per hour
Time = 2 miles / 8 mph = 0.25 hours
Convert Sharif's time from hours to minutes by multiplying by 60 minutes per hour (0.25 hours * 60 minutes/hour = 15 minutes).
For Arif:
Distance = 2 miles
Speed = 6 miles per hour
Time = 2 miles / 6 mph = 0.333... hours
Convert Arif's time from hours to minutes (0.333... hours * 60 minutes/hour = 20 minutes).
Now, to find the difference in time, subtract Sharif's time from Arif's time:
Difference = Arif’s time - Sharif's time = 20 minutes - 15 minutes = 5 minutes
Arif took 5 minutes longer than Sharif to complete the race.
what does this expression represent?
g3/10
A: a number divided by ten.
B: a number to the third power times by ten.
C: a number to the third power divided by ten.
D: a number to the second power divided by ten.
Answer:
Step-by-step explanation:
A: a number divided by ten. **g/10**
B: a number to the third power times by ten. **10g³**
C: a number to the third power divided by ten. **g³/10**
D: a number to the second power divided by ten. **g²/10**
answer: C
You hope to reach $10,000 savings in 6 years in an account paying 1.5%. What is the present value?
All answers will include a $sign.
Answer:
[tex]P=\$9,174.31[/tex]
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]A=P(1+rt)[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested or present value
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=6\ years\\ P=?\\ A=\$10,000\\r=1.5\%=1.5/100=0.015[/tex]
substitute in the formula above
[tex]10,000=P(1+0.015*6)[/tex]
solve for P
[tex]10,000=P(1.09)[/tex]
[tex]P=10,000/(1.09)[/tex]
[tex]P=\$9,174.31[/tex]
Which statements are true regarding the area of circle
D? Select two options
18 cm
The area of the circle depends on the square of the
radius
The area of circle D is 36
cm
The area of circle Dis 3240 cm?
The area of the circle depends on the square of pi.
The area of the circle depends on the central angle
Question:
Which statements are true regarding the area of circle D? Select two options.
The area of the circle depends on the square of the radius.
The area of circle D is 36Pi centimeters squared.
The area of circle D is 324Pi centimetres squared
The area of the circle depends on the square of pi.
The area of the circle depends on the central angle.
Answer:
The following statements are true regarding the area of circle D:
The area of the circle depends on the square of the radius The area of circle D is 324Pi centimetersStep-By-Step Explanation:
As we know, the formula for area of the circle is given by,
[tex]A=\pi r^{2}[/tex]
Where, r = radius of the circle. In figure, CD = radius = 18 cm
So, the circle area can be measured as
[tex]A=\pi(18)^{2}=324 \pi \mathrm{cm}^{2}[/tex]
From this, concluding that the circle area depends on radius square and its value is [tex]324 \pi \mathrm{cm}^{2}[/tex]. Hence, the statement given in option A and C are correct (reveals that option B is incorrect).
As the Pi is constant, the circle radius cannot depend on Pi value and Option D also incorrect. The area of sector of circle only depends on ratio of central angle to entire circle (So option E also incorrect).
PLzz help easy math...............
Good evening ,
Answer:
A. 2n-1
Step-by-step explanation:
It’s an arithmetic series
with first term 1
Un = U₁ + r×(n-1)
= 1 + 2× (n-1)
= 1 + 2n -2
= 2n - 1.
:)
Answer:
A. 2n-1
Step-by-step explanation:
Move 1 match stick in the number 369 to make the biggest number
Given number is 369. The number 3 is made of 5 match sticks, 6 is made of 6 match sticks and 9 is also made of 6 match sticks.
Let us try the possibilities of moving 1 match stick to make the biggest number.
(a) If the left upper match stick from 9 is moving to right upper position of 6, then the number will be 383.
(b) If the left bottom match stick from 6 is moving to left bottom position of 9, then the number will be 358.
(c) If the right upper match stick from 9 is moving to right upper position of 6, then the number will be 385.
(d) If the right upper match stick from 9 is moving to left upper position of 3, then the number will be 965.
The above four trials are shown in the below attachment.
Among these four possibilities, 965 is the biggest number.
mateo has 6.5 cups of sugar. how many batches of cookies can he make if each batch requires 3/4 cups of sugar?
The requried batch of sugar that can be made by 6.5 cups of sugar is 8.67 batches.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Mateo has 6.5 cups of sugar.
Each batch requires 3/4 cup of sugar,
Batches of cookies can he make,
= total cups of sugar/ 1 beach requires cups of sugar
= 6.5 / [3/4]
= 8.67 batches of cookies can be made.
Thus, the requried batch of sugar that can be made by 6.5 cups of sugar is 8.67 batches.
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Which expression is equivalent to
2/3(9x-6)+4(1/2 x -- 1/2)
1/2 and 3/4 are fractions
Answer:
Given expression [tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})[/tex] is equivalent to the expression [tex]2(4x-3)[/tex].
Step-by-step explanation:
Given expression is [tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})[/tex]
To simplify the expression:
[tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})=\frac{18x-12}{3}+\frac{4x-4}{2}[/tex]
Taking LCM 6 to the above expression we get
[tex]=\frac{(18x-12)2+3(4x-4)}{6}[/tex] (Applying multiplication rules)
[tex]=\frac{36x-24+12x-12}{6}[/tex] ( doing sums to the terms)
[tex]=\frac{48x-36}{6}[/tex]
[tex]=8x-6[/tex]
We can take common number 2 outside to the above expression
[tex]=2(4x-3)[/tex]
Therefore [tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})=2(4x-3)[/tex]
Therefore given expression [tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})[/tex] is equivalent to the expression [tex]2(4x-3)[/tex].
A cuboid is of dimensions 72 cm x 66 cm x 56 cm. Find the total number of small cubes
with side 12 cm that can be placed in the given cuboid.
Answer:
154 small cubes.
Step-by-step explanation:
We are given the dimensions of the cuboid as 72 cm × 66 cm × 56 cm.
So, length of the cuboid, l = 72 cm
Breadth of the cuboid, b = 66 cm
Height of the cuboid, h = 56 cm
Capacity of cuboid = l × b × h = 72 × 66 × 56 = 266112 cm³
Now, we have to find the number of small cubes of side 12 cm each that can be placed in the given cuboid.
Now, length of each side of each small cube, s = 12 cm
Volume of each small cube = s³ = (12)³ = 12 × 12 × 12 = 1728 cm³
For calculating the number of small cubes that can be placed in the given cuboid, we will divide the capacity of given cuboid by volume of each small cube.
Required number of cubes = [tex]\frac{Capacity\; of\; cuboid}{volume\; of\; each\; small\; cube}[/tex]
⇒ Number of cubes = [tex]\frac{266112}{1728}=154[/tex]
∴ 154 small cubes each of side 12 cm can be placed inside the given cuboid of dimensions 72 cm × 66 cm × 56 cm.
Name the largest angle in the figure.
AXC
DXA
BCD
Answer:
DXAStep-by-step explanation:
In a figure like this, the largest angle is formed from the two outermost points, which are D and A. Since the vertex is X, the angle is DXA.
I'm always happy to help :)The points (–2, 4) and (–2, –2) are vertices of a heptagon. Explain how to find the length of the segment formed by these endpoints. How long is the segment?
Answer:
The segment is 6 units long.
Step-by-step explanation:
The points (–2, 4) and (–2, –2) are vertices of a heptagon. We have to explain how to find the length of the segment formed by these endpoints.
If two points at the ends of a straight line PQ are P([tex]x_{1},y_{1}[/tex]) and Q([tex]x_{2},y_{2}[/tex]), then the length of the segment PQ will be given by the formula
[tex]\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}[/tex]
Now, in our case the two points are (-2,4) and (-2,-2) and the length of the segment will be
[tex]\sqrt{(- 2 - (- 2))^{2} + (4 - (- 2))^{2}} = 6[/tex] units. (Answer)
The length of the segment is 6 units.
It is given that,
Points (–2, 4) and (–2, –2) are vertices of a heptagon.To find the length of the segment formed by these endpoints.
Explanation:
The distance formula is used to find the length of the segment formed by two endpoints.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(-2-(-2))^2+(-2-4)^2}[/tex]
[tex]d=\sqrt{(0)^2+(-6)^2}[/tex]
On further simplification, we get
[tex]d=\sqrt{36}[/tex]
[tex]d=6[/tex]
Thus, the length of the segment is 6 units.
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Bill is building a sand box for his son to play in. The length is 2 feet more than the width. He has 20
feet of boards. What are the dimensions of his sand box?
Final answer:
To find the dimensions of Bill's sand box, use the given constraints and solve for the width and length using a simple equation.
Explanation:
Bill's sand box dimensions:
Let the width be x.
Length = x + 2.
Given 20 feet of boards, 2x + 2(x + 2) = 20.
Solving the equation, x = 4 feet (width) and length = 6 feet.
A CD costs $15.50 before tax. What is the total cost after a 6% sales tax is added?
Answer:
16.43
Step-by-step explanation:
(6% /100%)* 15.50
= 16.43
Answer: $16.43
Step-by-step explanation:
Jennifers math scores for the third quarter were 78, 89, 93, 73, 99, 87, 92, and 89. What is the range of her scores
The range of Jennifer's math scores for the third quarter is 26.
Explanation:The range of Jennifer's math scores for the third quarter can be determined by subtracting the lowest score from the highest score. In this case, the lowest score is 73 and the highest score is 99. Therefore, the range is 99 - 73 = 26.
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a+ 1/2 b+ 2/5 + 3/2 a+ 1/4 b simplify the expression
A company wants to give a coffee cup to each of its employees. If there are 533 employees and the cups must be ordered in boxes of 12, how many boxes should the company buy?
Answer:
45
Step-by-step explanation:
533÷12=44R5
44R5≈45
What is the area of this triangle in square inches?
area of triangle = 1/2bh
area = 1/2(120)(252) = 15120 in²
answer: C
Answer:
C) 15,120 square inches
Step-by-step explanation:
To solve this problem we first need to convert both legs of the triangle to inches. 10 ft * 12 is 120 and 7 yards is roughly 21 ft and that times 12 is 252. All we have to do now is to plug these values into the formula for area of a triangle: 1/2(b x h) = 1/2(252 * 120) = 1/2(30240) = 15,120 square inches.
Jason and Michael are playing a game. For each question answered correctly, they earn 5 points. For each incorrect response, they lose five points. If Jason answers three questions incorrectly, what will be his final score?
Answer:
- 15 points
Step-by-step explanation:
For each question answered correctly, they earn 5 points and for each incorrect response, they lose five points.
Therefore, the score after answering the wrong one will reduce by 5 points.
Let us assume that the initial score of Jason is zero and he answers three questions incorrectly.
Therefore, Jason's final score will be [0 - (5 × 3)] = - 15 points. (Answer)
which expression is equivalent to the given expression 13+6×7 after using the distributive property
Answer:
55
Step-by-step explanation:
13+6*7=13+42=55
Listen to the subtraction word problem jane has nine counters three of her counters are red the rest of her counters are yellow
Answer:6 of her counters are yellow.
9-3=6
Starting from point a, find the point that would cut the line segment created by the points A (-1,4) and B (5,4) into a ratio of 3:4
The coordinates of points are: (11/7 , 4)
Step-by-step explanation:
The formula for a point which divides a line in ration m:n is given by:
[tex]P(x,y) = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
Here
(x1,y1) = (-1,4)
(x2,y2) = (5,4)
m = 3
n = 4
So putting the values in the formula
[tex]P(x,y) = (\frac{(3)(5)+(4)(-1)}{3+4},\frac{(3)(4)+(4)(4)}{3+4})\\= (\frac{15-4}{7},\frac{12+16}{7})\\=(\frac{11}{7}, \frac{28}{7})\\=(\frac{11}{7} , 4)[/tex]
The coordinates of points are: (11/7 , 4)
Keywords: Ratio, fraction
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CAN SOMEONE HELP ME PLEASE ILL GIVE BRAINLEST..I need step to step equation thanks
Answer:
The required co-ordinate is (-2, -5).
Step-by-step explanation:
For a given point, reflection of a point (x, y) across a horizontal line y = k, the reflected co-ordinates will be: [tex]$ R_{y = k} = (x, 2k - y) $[/tex].
Here, (x, y) = (-2, 7) then reflection along the line y = 1, we get:
[tex]$ R_{y = 1} (-2, 7) = (-2, 2(1) - 7) $[/tex]
= (-2, -5)
The reflected point is (-2, -5).
Find x.
300
043
00.
083
08
00
02 V3
Answer:
Therefore the value of x is 8 unit.
Step-by-step explanation:
Given:
In Right Angle Triangle ABC
angle B = 90°
angle C = 30°
AB = 4
To Find:
AC = Hypotenuse = ?
Solution:
In Right Angle Triangle ABC Sine Identity we have
[tex]\sin C = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\[/tex]
Substituting the given values we get
[tex]\sin 30 = \frac{AB}{AC}[/tex]
[tex]\dfrac{1}{2} =\dfrac{4}{x}\\\\\therefore x=4\times 2=8\\\\\therefore x =8[/tex]
Therefore the value of x is 8 unit.
What are the solutions to x2 + 8x + 7 = 0?
Answer:
x=-1, -7
Step-by-step explanation:
x^2+8x+7=0
factor out the trinomial,
(x+1)(x+7)=0
zero property,
x+1=0, x+7=0
x=0-1=-1,
x=0-7=-7
plz answer !! I need your help
Answer:
110°
Step-by-step explanation:
Angles of a quadrilateral add up to 360:
70 + 40 + ∠B + ∠O = 360
∠B + ∠O = 250
The central angle between A and C is double the angle B. And, it plus angle O add up to 360.
Therefore:
2∠B + ∠O = 360
Solve the system of equations. Subtracting the first equation from the second:
∠B = 110
A produce store offers red and green apple. In one morning they sold 77 apples total. If 7 of the apples they sold were red, what is the ratio of green apples sold to red apples apples sold?
Answer:1:10 is the ratio
Step-by-step explanation:if 7 are red then there are only 70 green left so there are 7 red to every 70 green or reduced is 1:10
Answer:
10:1
Step-by-step explanation:
70 green apples were sold, and 7 red apples were. So, the ratio of green to red would be 70:7. Reduce it and you get 10:1