Answer:
4.24
Step-by-step explanation:
remember a² + b² = c²
(3*(sqrt(2))² + (3*(sqrt(2))² = 18
this would be c²
square root of this is c = 4.2426...
There are 30 fruits, all apples and peaches, in a basket. Take out any three of them and at least one will be an apple. How many peaches might there be in the basket?
Answer:
There are a maximum of 2 peaches in the basket.
Step-by-step explanation:
There are 30 fruits in a basket, all apples and peaches.
If 3 fruits are taken out of the basket, it is said that at least one of the 3 fruits would be an apple.
For this to be possible, it means, picking 3 fruits, at random from the basket guarantees at least 1 of them being an apple.
This means that the maximum number of peaches obtainable from the basket is 2, to guarantee a sure case of the last fruit of 3 selected fruits being an Apple. There has to be a minimum of 28 apples in the basket for this statement to be absolutely non-contestable.
Hope this Helps!!!
Answer:
max=2 peaches
Step-by-step explanation:
Simplify Negative 3 over 2 divided by 9 over 6.
Answer:
-1
Step-by-step explanation:
So in this case your dividing -3/2 by 9/6
So a strategy I learned was KCF aka. keep change and flip.
Therefore, in this case you keep -3/2
You change the dividing sign into multiply and then you flip 9/6 which makes 6/9.
These leaves us with -3/2 x 6/9
After multiplying, you'll probably get -18/18.
Which leaves us with -1 since if you divide a positive by a negative or a negative by a positive it'll give you a negative number.
Hopefully this helped! :)
The _____ gives the location on the X axis and the _______ gives the locaton on the Y axis
Answer:des
Step-by-step explanation:
Find the length of DE
Answer:20
Step-by-step explanation:
I was just wondering this is one of my questions in my math books and i needed help
Answer:
B is true
Step-by-step explanation:
5 is a coefficient of x^0
the expression 1350(1.05)^t models the average wages, in dollar, in the us as a function of the number of years since 1930. what does 1.05 represent in this expression.
Answer:
The average wage in the us increase by about five percent
Step-by-step explanation:
The 1.05 represents the rate of increasing average wages in the US, and it depicts that average wages are increasing by 5 %.
What is the percentage?As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.
Given the expression,
[tex]1350(1.05)^t[/tex]
As it is clear that this is the formula for the amount,
[tex]A = P \times (1+r/100)^t[/tex]
Here, the value of the middle expression is 1.05, which can be written as 1 + 5 / 100.
Therefore, it is the rate of increasing wages in the US, and it depicts that the wages are increasing by 5 %.
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A bullet train traveled 270 kilometers in 1.5 hours. The entire trip is scheduled to last 5 hours. If the train continues at the same rate, which proportion can be used to find the length, in kilometers, k, of the trip?
Answer:
270/1.5=k/5
Step-by-step explanation:
270 km........1.5 h
k km........5 h
270/1.5=k/5
median and range
math question
When Violet was born she weighed 54 pounds. At 5 months old she weighed 16.3 pounds.
How much weight did she gain between birth and 5 months old?
Answer:
37.7 pounds
Step-by-step explanation:
Simply subtract 54 (starting weight) by 16.3 (weight at 5 months) = the amount of weight she lost.
54 - 16.3 = 37.7If Two-thirds = StartFraction x over 12 EndFraction, what is the value of x? 4 8 18 24
Answer:
8
Step-by-step explanation:
[tex] \frac{2}{3} = \frac{x}{12} \\ x = \frac{2 \times 12}{3} \\ x = 2 \times 4 \\ x = 8[/tex]
Answer:
B) 8
Step-by-step explanation:
2\3= X/123X=2424÷3=8The answer is 8Here is a diagram of a person standing next to a lorry.
The diagram shows two centimetre rulers.
The person and the lorry are drawn to the same scale.
The lorry is approximately 9.5 m in length.
Using the scale diagram, estimate the height of the person in metres.
Answer:
The person is a about 2m
The height of the person is 0.475m.
What is the scale factor?The scale factor is the ratio of the size image in scale and original size of the image.
Scale factor= new size/ original size
Here given that the length of the lorry is 9.5 m= 9.5*100 cm= 950 cm
But in scale, the length of the lorry is 10cm
scale factor =new size/ original size= 10/950= 1/95
Similarly for the person height of the person on the scale is given = 2cm
As from above it is clear that
scale factor= 1/95
new size/ original size= 1/95
2/ original size= 1/95
original size= 95/2
original size= 47.5 cm
original size= 47.5/100 m= 0.475 m
Therefore the height of the person is 0.475m.
Learn more about scale factor
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Westin is comparing the triangles below.
Triangle F G H. Side G H is 4 centimeters, angle G is 117 degrees, and angle H is 27 degrees. Triangle J L K. Side J L is 8 centimeters, angle J is 27 degrees, and angle L is 117 degrees.
He uses the similarity statement Triangle H G F is similar to triangle L J K. Which best describes the accuracy of Westin’s statement?
Accurate. HG and LJ are proportional.
Inaccurate. HG and LJ are not corresponding sides.
Inaccurate. The sides are not proportional. There is no common ratio between the sides.
Inaccurate. The angles in the order listed do not correspond.
Answer:
It is Inaccurate: The angles in the order listed do not correspond. I just took the test
Answer:
Inaccurate. The angles in the order listed do not correspond.
Step-by-step explanation:
I am doing the test rn and I think this is the right answer
A bag contains 4 blue marbles, 6 green marbles, 3 yellow marbles. b) What's the probability of drawing a yellow marble?
Answer:
3/13
Step-by-step explanation:
There are 13 marbles in the bag, 3 of them are yellow, so the probability of yellow marbles being drawn is 3/13
Please check 1, 2, 4, and 5 for me and please help me with question 3.
Thank you!
Answer:
n = 7
Step-by-step explanation:
Your answers are correct.
For problem 3, we use error estimation:
| (-2)ⁿ⁺¹ / (n+1)! | < 0.01
(2)ⁿ⁺¹ / (n+1)! < 0.01
By trial and error:
If n = 3, (2)ⁿ⁺¹ / (n+1)! = 0.667
If n = 5, (2)ⁿ⁺¹ / (n+1)! = 0.089
If n = 7, (2)ⁿ⁺¹ / (n+1)! = 0.006
What type of function is represented in the table?
x 0 1 2 3 4 5
y -7 -2 3 8 13 18
a.quadratic
b.exponential
c.logarithmic
d.linear
The type of function represented in the table is linear.
How to find the type of function represented in a table ?Let's check the type of function represented in the table.
You can tell if a table is linear by looking at how x and y change. If, as x increases by 1, y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference.
It can also be found by using the linear equation,
y = mx + b
where
m = slopeb = y-interceptTherefore,
The x increases by y and the y increase by a constant rate of 5.
-2 - (-7) = 53 - (-2) = 58 - 3 = 5Therefore, the function represented in the table is linear.
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Mrs. Bogaczyk got bored and decided to go on an Amazon spending spree! She bought 3 pairs of flip flops for $14.95 each, a sundress for $21.50 and two tanks tops...One that was $9.99 and one that was $15.44. The tax came to $7.34 but shipping was free. How much did Mrs. B. Spend altogether? If the budget for spending was $100, how much money does Mrs. B. Have left?
Step-by-step explanation:
3 pairs of flip flops = 14.95 x 3 = 44.85
Total amount spent = 44.85 + 21.50 + 9.99 + 15. 44 = 91.78
After adding tax = 91.78 + 7.34 = 99.12
Mrs B spent 99.12 altogether
Budget = 100
Then money left = 100 - 99.12 = 0.88
The number of candies in the bag was less than 90. It is possible to divide all the candies evenly among 3, 4, or 7 children. How many candies were in the bag?
Answer:
84
Step-by-step explanation:
The least common multiple of 3, 4, and 7 is 3·4·7 = 84.
There were 84 candies in the bag.
Donnie deli man delivered 595 box lunches for the robotics convention. There were 20 more turkey sandwiches then roast beef. There were twice as many roast beef has PB&J. How many of each type of BoxLunch did Donnie delivered?
Answer:
250 turkey sandwiches were delivered.
There were 230 roast beef delivered.
115 PB&J were delivered.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of turkey sandwiches.
y is the number of roast beef.
z is the number of PB&J.
Donnie delivered 595 box lunches
This means that [tex]x + y + z = 595[/tex]
There were 20 more turkey sandwiches then roast beef.
This means that [tex]x = y + 20[/tex]
There were twice as many roast beef has PB&J.
This means that [tex]y = 2z[/tex].
So in the second equation, we have that [tex]x = 2z + 20[/tex]
Replacing this in the first equation:
[tex]x + y + z = 595[/tex]
[tex]2z + 20 + 2z + z = 595[/tex]
[tex]5z = 575[/tex]
[tex]z = \frac{575}{5}[/tex]
[tex]z = 115[/tex]
115 PB&J were delivered.
[tex]x = 2z + 20 = 2*115 + 20 = 250[/tex]
250 turkey sandwiches were delivered.
[tex]x = y + 20[/tex]
So
[tex]y = x - 20 = 250 - 20 = 230[/tex]
There were 230 roast beef delivered.
Sarah solved a quadratic equation. Her work is shown below, with Step 1 missing.
What could Sarah have written as the result from Step 1?
2(x + 1)2 +6 = 134
Step 1
(x+1)2 – 64
Step 2
2+1 =18
Step 3
x = -9 or x = 7 Step 4
Khan academy quiz
Answer:
c.2(x+1)^2=128
Step-by-step explanation:
The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
2(x + 1)² + 6 = 134
Simplify the equation, then we have
2(x + 1)² + 6 = 134
2(x + 1)² = 128
(x + 1)² = 128 / 2
(x + 1)² = 64
Take square root on both sides. Then we have
(x + 1) = ± 8
x = - 1 ± 8
x = - 1 - 8, - 1 + 8
x = - 9, 7
The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.
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A car traveled 360 miles in 4 hours. If its speed were to be 15 mph slower, how long would it take to travel the same distance?
Answer: 4.8 hours.
Step-by-step explanation:
To find how long it would take to travel the same distance at a slower speed, find the speed the car is currently driving at.
Speed is distance over time, or in this case, miles per hour.
360 / 4 = 90 miles per hour.
The car is travelling 15 miles per hour slower, so the new speed is 90 - 15, or 75 miles per hour.
You can now use the same equation to find the time travelled:
360 / x = 75
360 = 75x
Divide both sides by 75 to get your answer:
4.8 = x
It would take the car 4.8 hours to travel the same distance.
Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are inches long, inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is inches long, 18 inches wide, and 24 inches tall. Large Box 2 is inches long, inches wide, and 24 inches tall. Both the small and large boxes must remain upright.
Answer:
- The number of small boxes that will fill the large box 1 = 64
- The number of small boxes that will fill the large box 2 = 56
Step-by-step explanation:
Complete Question
Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4.5 inches long, 4.5 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24.25 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20.5 inches long, 18.5 inches wide, and 24 inches tall. Both the small and large boxes must remain upright.
Solution
To know how many of the small boxes will fit in larger boxes, we need to obtain the volumes of the small box, large box 1 and large box 2.
Volume of a cuboid = L × W × H
For the small box,
Length = L = 4.5 inches
Width = W = 4.5 inches
Height = H = 8 inches
Volume of the small box = 4.5 × 4.5 × 8 = 162 in³
For large box 1,
Length = L = 24.25 inches
Width = W = 18 inches
Height = H = 24 inches
Volume of the large box 1 = 24.25 × 18 × 24 = 10,476 in³
For large box 2
Length = L = 20.5 inches
Width = W = 18.5 inches
Height = H = 24 inches
Volume of the large box 2 = 20.5 × 18.5 × 24 = 9,102 in³
The number of small boxes that'll fill the large box 1 = (10,476/162) = 64.667 = 64 small boxes (rounded down because the fraction cannot be forced into the large box 1.
The number of small boxes that will fill the large box 2 = (9,102/162) = 56.185 = 56 small boxes.
Hope this Helps!!!
Correct answers only please! I keep losing points...
Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
A = $ 7,299.92
A = P + I where
P (principal) = $ 6,000.00
I (interest) = $ 1,299.92
Step-by-step explanation:
A = P(1 + r/n)nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
In the following diagram, HI is parallel to JK. What is the measure of x?
Answer:
60
Step-by-step explanation:
find the missing angle in triangle HAI =60.
VERTICALLY OPPOSITE ANGLES ARE EQUAL.=60
Angle x is alternating with the angle.
Answer:
[tex]x = 60 \: \: degrees[/tex]
Step-by-step explanation:
Lets take LAH angle as 'y'[tex]61 + 59 + y = 180 \\ 120 + y = 180 \\ y = 180 - 120 \\ y = 60 \: \: degrees[/tex]
[tex]y = x(corresponding \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: angles) \\ 60 = 60 \\ \\ [/tex]
[tex]x = 60 \: \: degrees[/tex]
Find the mean, median and mode of these numbers
11,10,8,10,1
12,10,16,28,15,29,26,16,1
13,11,12,8,10,6
9,12,5,9,14,5,7,8,9,2
Thank you for helping!
Answer:
11, 10, 8, 10, 1
mean - 8
median - 10
mode - 10
12, 10, 16, 28, 15, 29, 26, 16, 1
mean - 17
median- 16
mode - 16
13, 11, 12, 8, 10, 6
mean - 10
median - 10
mode - no mode
9, 12, 5, 9, 14, 5, 7, 8, 9, 2
mean- 8
median- 8.5
mode - 9
mean - add up all numbers then divide that answer by how many numbers there are
median - put all the numbers in order and find the middle number
mode- most frequent number
Expand the expression and combine like terms. Show your work.
1.6x−12(3.8x+0.04)
Answer:
-44x - 0.48
Step-by-step explanation:
[tex]1.6x-12(3.8x+0.04)\\=1.6x-12\times 3.8x -12\times 0.04\\=1.6x-45.6x -0.48\\=-44x - 0.48[/tex]
100 Points, EASY MATH QUESTION.
Topic: Fractions
Three siblings decided to share the yard work (chores) that their parents assigned. If siblings A and B do 8/12 of the work, what fraction of the work is left for sibling C?
1/2
1/3
1/4
1/5
Answer:
1/3
Step-by-step explanation:
1/3 because 8/12 + 1/3 is 1 whole
Answer:
1/3
Step-by-step explanation:
The whole chore is 1, or 12/12
Subtracting the fraction of work done by A and B
12/12- 8/12 = 4/12
Which simplifies
4/12 = 1/3
Find the value of u. If the volume is 560
Answer:
10 ft
Step-by-step explanation:
V = l*w*h
560 = 7*8 *u
560 = 56u
divide each side by 56
560/56 = 56u/56
10 =u
Find the GCF of the numbers 16 and 72
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
The Greatest Common Factor of two numbers is the largest whole number that goes into both of them. To find it, we can lay out all the factors of each number and pick the largest one.
Factors of 16: 1, 2, 4, 8, 16
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The largest number that shows up on both lists of factors is 8, so the GCF of 16 and 72 is 8.
PLEASE HELP ME!
Tina and Tammy both get paid an equal hourly wage of $12 per hour. This week, Tina made an additional $46 in overtime. Select the expressions below that represent the weekly wages of both if x the number of hours
Tina worked this week and y= the number of hours Tammy worked this week
Answer:
Expressions B, D and E
Step-by-step explanation:
Here, we are to select which of the options is correct.
Let’s put in mind that they bought earn $12 per hour
x represents the number of hours Tina worked this week; the total amount of money she made would thus be x * 12 = $12x
Remembering that she made $46 overtime, the total amount of money she made that we would be $12x + 46
The total amount Tammy made, earning $12 per hour and working for y hours = $12 * y = $12y
The total amount of money both made is thus;
12x + 46 + 12y
= $(12x + 12y + 46)
Now, we have similar expressions in the question;
These are; expression B, expression D and expression E
While expression B is straightforward, the others are not
expression D is gotten by factoring out 12; 12x + 12y + 46 = 12(x + y) + 46
expression E just involved putting what each of the two earned in brackets
can someone help me please I'm doing this for math Olympics
A contractor is asked to build a new set of townhouses in attached clusters of
different sizes. He created plans for one-, two-, and three-house clusters, as shown in the diagram below. The builder used computer software to draw the line segments used to represent the houses. How many line segments are needed to draw 4 houses? 10 houses? 47 houses? n houses? Explain your strategy.