What are the zeros of f(x) = x2 + x - 12?
A teacher asks students to place tiles on the classroom wall to show the alphabet. The tiles will each have one letter or be blank. Each letter will have only one tile. The list shows the teachers rules for the arrangement of tiles.
• How many columns of tiles will there be?
• How many blank tiles will be used?
• What multiplication fact helped you solve the problem?
1. They must form a rectangle.
2. The rectangle must have 4 rows.
3. The rectangle must have the least possible number of columns.
The least possible number of columns is 7
2 blank tiles is will be used
Yes using multiplication facts the question can be solved.
Given data
Alphabet arrangement on tiles
The rules for arrangement of the alphabets
1. They must form a rectangle.
2. The rectangle must have 4 rows.
3. The rectangle must have the least possible number of columns.
How to find the column of tiles the arrangement will havenumber of alphabets = 26
let the row represent the width of the rectangle, so that the rectangle has 4 rows.
The length will be
length * width = 26
length = 26 / width
length = 26 / 4
length = 6.5 ≅ 7
Hence the least possible number of columns is 7
How to find the number of blank tiles used
26 / 4 gives 6 remainder 2 hence it requires 2 more tiles to make it up a rectangle of 7 columns.
The remaining part is filled with blank tiles therefore 2 blank tiles is used
How to solve the problem with multiplication factUsing multiplication we solve the problem as thus:
let the number of column be x such that
4 * x = 26
x = 26 / 4
so we use blank tiles to make the equation divisible by 4 without remainder.
using mental math: 28 / 4 = 7
therefore 2 blank tiles were added and the minimum number if rows is 7
Yes using multiplication facts the question can be solved.
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Find a 3-by-3 magic square using the numbers 4, 5, 6, 14, 15, 16, 24, 25, and 26.
Fill in the magic square.
Please so work.
A 3-by-3 magic square :
5 24 16
26 15 4
14 6 25
A square array of numbers, often positive integers, is referred to as a magic square in recreational mathematics if the sums of the numbers in each row, each column, and both main diagonals are the same.
The following values are listed in the question:
The numbers are 4, 5, 6, 14, 15, 16, 24, 25, and 26.
A 3-by-3 magic square is required.
Since the numbers are 4, 5, 6, 14, 15, 16, 24, 25, and 26.
Now the sum of all numbers is :
4 + 5 + 6 + 14 + 15 + 16 + 24 + 25 + 26 = 135
There are now 3 rows and 3 columns, thus the total number is divided by 3.
5 24 16
26 15 4
14 6 25
5 + 24 + 16 = 45
5 + 26 + 14 = 45
26 + 15 + 4 = 45
24 + 15 + 16 = 45
14 + 6 + 25 = 45
5 + 15 + 25 = 45
So, the total of each row and each column is therefore 45.
Therefore, this is a 3-by-3 magic square that satisfies the conditions :
5 24 16
26 15 4
14 6 25
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MP MODELING REAL LIFE The height of the house is
26 feet. What is the height x of each story?
Answer:
Step-by-step explanation:
14feet
Which expression is equivalent to 59.06
A. 5 x 1 + 9 × 1 + 6 × 1/10
B. 5 × 1 +9 × 1 + 6 × 1/100
C. 5 × 10 +9 × 1 +6 × 1/10
D. 5 × 10 + 9 × 1 + 6 × 1/100
12. CONCERT A concert venue surveyed
680 concert attendees about the concession
stand. Of those that visited the concession
stand, 527 said the concession stand prices
are excessive, and the remaining 44 did not.
Write an equation to find the number of
attendees a who did not visit the concession
stand. (Lesson 1-1)
Solving a linear equation, we will see that 109 attendees did not visit the concession stand.
How to find the number of attendees who did not visit the concession stand?
First, we know that the total number of surveyed people is 680.
Of these 680, we know that:
527 said that the concession stand prices are excessive.44 said that the concession stand prices are not excessive.x did not visit the concession stand.Now, the 3 numbers above should add up to the total number of surveyed people.
527 + 44 + x = 680
Solving that linear equation for x:
x = 680 - 527 - 44 = 109
We conclude that the number of attendees who did not visit the concession stand is 109.
2.35 + 0.75 + 10
what is the answer
Answer: 13.10
Is power
Answer:
Step-by-step explanation:
its not to hard
1 1
2.35
+0.75
~~~~~~
3.1 0
+10
~~~~~~~
13.10
What’s the correct answer answer asap for brainlist
Answer:
If u actually read the sentence B makes more since
Find the error in the calculations below, if there is one:
Line (1): 8x4 = 2(4x + 1) -6
Line (2): 8x - 4 = 8x +1-6
Line (3): 8x - 4 = 8x - 5
Line (4): -4 = -5
Line (5): Based on the calculations above, there are no solutions.
O The error occurred from line (1) to line (2).
The error occurred from line (2) to line (3).
The error occurred from line (3) to line (4).
O The error is in line (5).
The error occurred from line (2) to line (3) i.e., option(b) is correct.
Given that, Line (1): 8x-4 = 2(4x+1)-6, so we will procced to solve line (1) accordingly and then with the steps we will find where the error exactly occur. Let's proceed to solve this question.
8x-4 = 2(4x+1)-6
Now, open or simplify the bracket in RHS, we get
8x-4 = 8x+2-6
Now, simplify RHS accordingly, we get
8x-4 = 8x-4
Now add 4 both sides, we get
8x-4+4 = 8x-4+4
8x = 8x
Now, divide both sides by 8, we get
x = x
Now, subtract x from both sides, we get
0 = 0
Both sides are equal.
⇒ True for all x.
So, from the above calculation steps we can easily concluded that the error occurred from line (2) to line (3).
Hence, option(b) is correct.
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After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(-2, 1),
and C(1, 7). What are the coordinates of the vertices of the pre-image?
B
C
Intro
n
Done
The coordinates of the vertices of the pre-image are A (3, -6), B(1, 2), C (7, -1).
According to the statement
We have to find that the coordinates of the points in the pre-image..
So, For this purpose, we know that the
Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.
From the given information:
After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(-2, 1),and C(1, 7).
Then
We need to search out the coordinates of the pre-image A, B and C.
The rule for rotation of 90° about the origin is (x,y) ---> (-y,x).
But we want to seek out the coordinates of the vertices of the pre-image.
So, we'd like to use rule (-y,x) ---->(x,y).
Applying rule,
A'(6, 3) -----> A (3, -6)
B'(–2, 1) -----> B(1, 2)
C'(1,7) -----> C (7, -1).
Therefore, The coordinates of the vertices of the pre-image are A (3, -6), B(1, 2), C (7, -1).
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Climbing up on a table you held a 1/2 gallon jug of water in your outstretched hands. You did not hold the sides of the jug, you just cradled it. Now you jump jug and all! You have a friend video it. What will happen to the jug and why?
Answer:
the water goes up with you and then you fall faster leaving the water still in the air for a spilt second leaving gravity to bring it back down
a) Find the difference between 8.72 and 0.872.
Answer:
8.72 in fraction is 872/100 so this one is in the hundereds
0.827 in fraction is 872/1000 and this one is in the thousands
i’ve been struggling on this question m
Answer:
the answer is A r + s have a nice day
8. Arica estimates she planted 400 seeds in her garden on
Wednesday and Thursday. On Thursday, she planted
152 seeds. About how many seeds could she have planted or
Wednesday?
Choose all that apply.
A. She could have planted 100 seeds on Wednesday.
B. She could have planted 150 seeds on Wednesday.
C. She could have planted 200 seeds on Wednesday.
D. She could have planted 250 seeds on Wednesday.
Answer:
Step-by-step explanation:
400 - 150 = 250 and 400 - 200 = 200, so it could be D or C. You can choose which one you want to use.
Solve for x.
x + 0.60(15) = 0.80(x + 15)
Answer:
15
Step-by-step explanation:
x + 0.60(15) = 0.80(x + 15)
x+9=0.8(x+15)
x+9=4(x+15/5)
x+9=4x+60/5
x+9-9=4x+60/5-9
x=15
Write fourteen and five hundred sixty-one thousandths as a decimal number.
Answer:14.0561
Explanation: One hundred thousandths is 0.01, So Five hundred sixty-one thousandths is 0.0561
89% means 89 out of?
Answer:
100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
PLEASE HELP I WILL GIVE YOU 80 AND MARK YOU BRALINEST AND PLEASE IN YOUR OWN WORDS
If 4x + 8 = 28, then x = 5. choose inverse
Answer:
What do you mean by choose inverse?
Step-by-step explanation:
A die is thrown 600 times. These results are obtained.
1 Do the results indicate the die is biased?
2 Justify your answer.
3 Use the data to work out the probability of the die landing on:
a 1, b 3, c 4, d 6
4 If the die were fair how many times would you expect it to land on each
number if it were thrown 600 times?
A die is thrown 600 times and the results are:
1 - 102, 2 - 112, 3 - 181, 4 - 31, 5 - 82, 6 - 921) There is indication of the die being biased.
2) It becomes evident number 3 is landed 181 times and number 4 is landed 31 times, whilst we would expect about 100 outcomes for each number.
3) Probabilities
probability = favorable outcomes / total outcomesa) P(1) = 102/600 = 0.17 or 17%b) P(3) = 181/600 = 0.30 or ~ 30%c) P(4) = 31/600 = 0.05 or ~ 5%d) P(6) = 92/600 = 0.1533 or ~ 15%4) The theoretical probability is same for each number:
P = 1/6*600 = 100 timesReggie has a piece of lumber that is 9 feet long.he needs to cut is into .75 foot sections.how many pieces will he have after he makes his cuts?(step by step)ik that it is 12 but I don't get how
Answer: so you would do 9÷ .75 which gives you 12.
Step-by-step explanation: 12 Step-by-step explanation:so you would do 9÷ .75
In 2016, 595,700 Americans died of (all forms of) cancer.
Assuming a population of 321 million, what was the mortality
rate in units of deaths per 100,000 people?
The mortality rate will be 180 per 100000 people.
How to calculate the value?From the information, 595,700 Americans died of (all forms of) cancer and there is a population of 321 million.
Therefore the mortality rate will be:
= 595700 / 321 million
= 0.0018
Therefore the mortality rate will be 180 per 100000 people.
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Nicole buys ice cream and lemons at the store. She pays a total of $18.80. She pays $2.52 for the ice cream. She buys 4 bags of lemons that each cost the same amount. Which equation could be used to determine x x, how much each bag of lemons costs?
The equation that could be used to determine the cost of each bag of lemons is $2.52 + 4x = $18.80
Writing an equation
From the question, we are to determine the equation which could be used to determine, x, the cost of each bag of lemons
From the given information,
"She pays a total of $18.80 and she pays $2.52 for the ice cream"
Also,
"She buys 4 bags of lemons"
Then,
we can write that
$2.52 + 4x = $18.80
Hence, the equation that could be used to determine the cost of each bag of lemons is $2.52 + 4x = $18.80
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Un celular costó $2,500 y se vendió en $3,150. ¿Cuánto se obtuvo de ganancia por cada cien
pesos?
The profit for hundred cell phone is $65000
The cost of a cell phone is $2500
and sold for $3150
The selling price of a cell phone is $3150 and
The cost price of a cell phone is $2500.
What is Profit and Loss in mathematical term?To ascertain a commodity's market price and assess a business's profitability, mathematicians utilize the profit and loss formula. The cost price and the selling price of every thing are different. We are able to determine a product's profit or loss based on the values of these prices.
Step-by-step explanation:
Profit = Selling price - Cost price
Profit = $3150 - $2500
Profit = $650
The profit for one cell phone is $650
We have to find the profit for hundred cell phone
$650 × 100 = $65000
The profit for hundred cell phone is $65000.
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In English language this question is "A cell phone cost $2,500 and sold for $3,150. How much profit was made for every hundred pesos?".
Find The Slope of the Line?
Answer: 3
Step-by-step explanation:
To find the slope you have to divide y over x: y/x or most commonly known as rise/run.
We start at the point where the line is touching a point, in this case it's -8 in the y axis.
Then we count up until we find another point that the blue line is touching. In this case at the coordinates (2, -2). So there's 6 values up from -8 and we have to move to the right 2 values to reach the point the blue line is touching.
So we use the formula rise/run or y/x:
6/2 = 3
This is very hard to explain in just text! I hope you understand
DOES ANYBODY KNOW WHAT THE ANSWER IS HELP ME ASAPPP
Hence , the value of the length of the AB is seven.
The term collinear is that the combined word of 2 Latin names ‘col’ + ‘linear’. ‘Col’ suggests that along and ‘Linear; suggests that line. Therefore, linear points mean points along in an exceedingly single line.The points that lie on constant line area unit collinear points.It is given that B is between A and C which means that A , B , C are collinear points and can be represented as
AB + BC = AB
x + 4 + 2x - 2 = 4x - 1
3x + 2 = 4x - 1
3 = x
AB = x + 4
= 3 + 4 = 7
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There are two numbers which add up to 17. If one number is 13 more than the other, find two numbers.
Answer:
30 the answer is 30 because 17 + 13 = 30
Name the property of 94+7=7+94
Answer:
commutative property of addition
Step-by-step explanation:
the commutative property is when you switch the order of numbers in an addition or multiplication operation
Which expression is equivalent to (2x − 1)(4x + 3) − (9x + 1)(2x − 1)?
The given expression (2x − 1)(4x + 3) − (9x + 1)(2x − 1) is equivalent to -10x^2 + 9x - 2, that is, option b.
If terms of the form (a + b) and (a + c) are to be multiplied, then each number or variable in the 1st term is multiplied by every variable in the 2nd term. Thus, (a + b)(a + c) = a^2 + ac + ab + bc.
Here, we are given an expression (2x − 1)(4x + 3) − (9x + 1)(2x − 1)
let us simplify the given expression-
[2x(4x) + 3(2x) -4x - 3] - [9x(2x) -9x + 2x -1)]
8x^2 + 6x - 4x - 3 - (18x^2 -9x + 2x -1)
8x^2 + 2x - 3 - 18x^2 +7x +1
8x^2 -18x^2 + 2x +7x -3 +1
-10x^2 + 9x - 2
Thus, option b is the correct answer.
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Your answer was incomplete. Check for the complete content below-
Which expression is equivalent to (2x − 1)(4x + 3) − (9x + 1)(2x − 1)?
a. 10x^2 + 9x - 2
b. -10x^2 + 9x - 2
c. 10x^2 - 9x + 2
d. -10x^2 + 9x - 8
The table shows a proportional relationship.
Workout (hours) 1 2 3
Calories Burned 240 480 720
Create a description in words for the table.
The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.
The number of calories burned is dependent on the number of hours working out. For every 240-hour workout, there is 1 calorie burned, and for every 480-hour workout, there are 2 calories burned.
The number of hours working out is dependent on the number of calories burned. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.
The number of hours working out is dependent on the number of calories burned. For every 240-hour workout, there is 1 calorie burned, and for every 480-hour workout, there are 2 calories burned.
Answer: The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.
Step-by-step explanation:
By observing the nature of the question, we can decide that the amount of time spent working out dictates the number of calories we burn, making the workout (hours) the independent variable and the calories burned the dependent. This automatically cancels out the answers C and D.
We then just use our knowledge of the table. The hours were assigned 1, 2, and 3, and the calories were 240, 480, and 720. Just make sure the answer reflects that! That gives us answer choice B, The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.