Answer:
6x + 10 = 100
Step-by-step explanation:
Given
Six tables held the same amount of students
let the number of student held by 1 table = x
since there are 6 table holding same number of students
number of student held by 6 table = 6*x = 6x
given that
number of students held in a line = 10
therefore
total number of students = number of student held by 6 table + number of students held in a line
total number of students in cafeteria = 6x + 10
also given
One hundred students go to the cafeteria to eat lunch
6x + 10 = 100
6x = 100 - 10 = 90
x = 90/6 = 15
thus,
the number of student held by 1 table = 15
thus, required equation can be used to find the number of students sitting at each table is 6x + 10 = 100
What are the acceptable diameters for the golf balls? 42.675 mm 42.6668 mm 42.664 mm 42.673 mm 72.676 mm
Answer: 42.6668mm and 42.673mm
Step-by-step explanation:
The acceptable diameters for the golf balls are 42.675 mm, 42.673 mm.
What is a Diameter?A diameter is the chord of a circular object, a circle or a sphere which is the distance between two points on the circumference of the object, the distance is calculated by drawing a line passing through the center of the object.
The golf ball is in the shape of a sphere
The internationally accepted diameter for a golf ball is 1.68 inches
which is approximately equal to 42.67 mm
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Find the constant rate of change!
Answer: rate of change: increasing by 2
Step-by-step explanation:
Simplify: 80 ÷ 4 - 2(2 + 1)²
A. 2
B. 10
C. 162
D. 31
Answer:
D
Step-by-step explanation:
the sum of two numbers is 526, and their difference is 176. find the two numbers
Answer:
Step-by-step explanation:
We can write the information as equations. We will use variables x and y to find the two numbers
Equation 1: The sum of two numbers is 526
x + y = 526
Equation 2: The difference is 176
x - y = 176
With two variables and two equations, we can first find one variable by elimination:
(See image)
and then substitute y into either equation to find x:
(See image)
Which are two numbers that multiply to -20 but add to 1
Answer:
-4 and 5
Step-by-step explanation:
(-4)(5)
=-20
(-4)+5
=1
The two numbers that multiply to -20 but add to 1 are 5 and -4.
We have,
To find two numbers that multiply to -20 but add to 1, we can set up a system of equations.
Let's assume the two numbers are x and y.
We can set up the following equations based on the given conditions:
Equation 1: xy = -20 (the numbers multiply to -20)
Equation 2: x + y = 1 (the numbers add to 1)
To solve this system of equations, we can use the substitution or elimination method.
Let's use the substitution method here:
From Equation 2, we can rewrite it as y = 1 - x.
Now substitute this value of y into Equation 1:
x(1 - x) = -20
Expanding the equation:
x - x² = -20
Rearranging the equation:
x² - x - 20 = 0
Now we have a quadratic equation.
We can factor it or use the quadratic formula to find the values of x.
Factoring the quadratic equation, we get:
(x - 5)(x + 4) = 0
Setting each factor equal to zero, we have:
x - 5 = 0 or x + 4 = 0
Solving for x, we get:
x = 5 or x = -4
Now, substitute these values of x back into Equation 2 to find the corresponding values of y:
For x = 5:
y = 1 - x = 1 - 5 = -4
For x = -4:
y = 1 - x = 1 - (-4) = 5
Therefore,
The two numbers that multiply to -20 but add to 1 are 5 and -4.
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In the quadrant you start at (5,2) and move 3 units left and 2 units up.
Answer:
(2,4)
Step-by-step explanation:
Your x-value goes 3 units to the left which is subtracting the value and your y-value is going up by 2 which is adding to your y-value.
Please Help?
Write 4-6 sentences describing how you can use the form of a quadratic equation to decide how it can most efficiently be solved. For each solution method (factoring, by inspection, taking a square root, completing the square, and the quadratic formula), formulate an equation that would be the most efficiently solved using that approach. Write a comprehensive solution process for each as though you are explaining it to a friend who is struggling with this topic.
I do not need 4-6 sentences, but just need main points so I can form my own sentences.
Answer:
See explanation
Step-by-step explanation:
The place to begin in attempting to solve a quadratic equation is to try to factorize it. If it can not be factorized, then look at the side of equation that contains the variable (x,b,m,n and so on). If that side is a perfect square, try to take square root of both sides.
Also, if the coefficient of the squared term in the equation is 1 and the coefficient of the middle term bearing the variable is an even number, then you can attempt to use completing the square method. Formula method can be adopted as a last resort.
x^2 -4x + 4 =0 can be solved by factorization
X(x-2) - 2(x-2) =0
Hence;
(x-2) (x-2) =0
x= 2 (twice)
(2x-2)^2 = 4 can be solved by taking square root
√[(2x-2)^2] = √4
2x-2 = 2
x= ±2
x^2 + 6x - 11 = 0 can be solved by completing the square
(x + 3)^2 = 11 + 3^2
(x + 3)^2 = 20 taking square root of both sides
x + 3 = ±√20
x + 3 = ±2√5
x= -3 ±2√5
2x^2 - x + 5 = 0 can be solved by formula method
Using
x= -b±√b^2 - 4ac/2a
a= 2, b = -1, c= 5
x= 1 ± √1 - 40/4
x= 1 ± √-39/4
x= 1 ± 39i/4
All shirts on the clearance rack are 60 percent off if one of the shirts is originally 29.95 how much does it cost
Answer:
11.89
Step-by-step explanation:
29.95-60%=11.89
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Solve.
2x - 1 = 7
0)
A)
X = 2
B)
X = 3
C)
X=4
D)
X = 5
Answer:
x = 4
Step-by-step explanation:
Add 1 to 7 to get 8. Divide 8 by 2 to get 4. The answer is then x = 4
The formula for finding the interest on a loan is I = prt. Jack borrows $2,000 for 2 years at a rate of 2%. How much interest will he owe?
9514 1404 393
Answer:
$80
Step-by-step explanation:
You are given the principal amount (p=$2000), the annual interest rate (r=.02), and the time in years (t=2). Put the numbers in the formula and do the arithmetic.
I = prt
I = ($2000)(0.02)(2) = $80
Jack will owe $80 in interest.
What number makes the equation true?
+ 13 = 47
Answer:
x=34
Step-by-step explanation:
Just take 47-13=34
6-^12×6^8×6^0 = what and how do I solve this problem
0.38 is ten times as much as
Answer:
0.38 is ten times as much as 0.038
Select the best estimate of the product of 52 x 89
A 4,500
B 5,000
C 5,500
D 6,000
Answer:
The answer would actully would be 4,500 Aka A!
Step-by-step explanation: BTW: I did do this test :)
How many pounds does an 10 kilogram object exert on the Earth? (Round to the nearest whole number and do not include units in your answer.) Note: There are 2.205 pounds in a kilogram.
Answer:
22 lb
Step-by-step explanation:
10 kg ⋅ 2.205 lb/1 kg ≈22 lb
Which is the set of odd numbers between zero and ten?
A{1, 3, 5, 7, 9}
B all real numbers
C {2, 4, 6, 8, 10}
D null set
Answer:
A
Step-by-step explanation:
because I'm a smart motherf##
There are 8 states in the United States that begin with the letter “M.” If you chose a state at random, what is the probability you get a state that begins with the letter M? What is the probability you don’t get a state that begins with the letter M?
Answer: 8/50
Step-by-step explanation:
simplified is 4/25
1/2(10x-6)=4x+10 what is the value of x that makes the equation true?
Answer:
x=13
Step-by-step explanation:
what is the quotient of 2/3 divided into 1/5?
Answer:
10/3
Step-by-step explanation:
The quotient of 2/3 divided into 1/5 is 10/3 after using the concept of the arithmetic operation.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
2/3 divided into 1/5
Mathematically, we can write as:
= (2/3) ÷ (1/5)
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
= (2/3)/(1/5)
= (2×5)/(3×1)
= 10/3
Thus, the quotient of 2/3 divided into 1/5 is 10/3 after using the concept of the arithmetic operation.
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What expression is equivalent to (13x - 4) - ( 20x - 15)
Answer:
[tex](13x - 4) - ( 20x - 15) \\ = 13x - 4 - 20x + 15 \\ = 11 - 7x[/tex]
The expression -7x + 11 is equivalent to (13x - 4) - ( 20x - 15) option (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
= (13x - 4) - ( 20x - 15)
Using the distributive property:
= 13x - 4 - 20x + 15
= -7x + 11
Thus, the expression -7x + 11 is equivalent to (13x - 4) - ( 20x - 15) option (A) is correct.
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The mango is considered the "king of fruits" in many parts of the world. Mangoes are generally harvested at the mature green stage and ripen up during the marketing process of transport, storage, and so on. During this process, about 30% of the fruit is wasted. Because of this, the impact of harvest stage and storage conditions on the postharvest quality are of interest. In this experiment, the fruit was harvested at 80, 95, or 110 days after the fruit setting (the transition from flower to fruit) and then stored at temperatures of 20, 30, or 40 degrees centigrade. For each harvest time and storage temperature, a random sample of mangoes was selected, and the time to ripening was measured.
A) What are the factors?
a. harvest time.
b. 20, 30, and 40 degrees centigrade.
c. the nine combinations of the different storage temperatures and harvest times.
d. time to ripening.
e. storage temperature.
f. 80, 95, and 110 days.
B) What are the treatments?
a. 80, 95, and 110 days.
b. 20, 30, and 40 degrees centigrade.
c. harvest time.
d. time to ripening.
e. the nine combinations of the different storage temperatures and harvest times.
f. storage temperature.
C) What are the response variables?
a. 80, 95, and 110 days.
b. storage temperature.
c. the nine combinations of the different storage temperatures and harvest times.
d. 20, 30, and 40 degrees centigrade.
e. harvest time.
f. time to ripening.
Answer:
1. a and e
2. the nine combinations of the different storage temperatures and harvest times.
3. f
Step-by-step explanation:
1. these factors are the explanatory variable. they are what is manipulated in order to know how the experiment would respond.
the answers are a. harvest time and e. storage temperature
2. the nine combinations of the different storage temperatures and harvest times.
3. the response variable is the variable that we are measuring. also called the dependent variable. in this case we want to know the time to which mango ripens. f. time to ripen
Which of the following rational numbers has the smallest absolute value?
-1.5
-4
8
0.5
Answer:
0.5 has the smallest absoulte value
Step-by-step explanation:
To find the absolute value of a number just take off the negative sign and levae the posotive numbers as is.
What is 18 9/11 - 8 3/8
I need help asap
Answer:
10.44318182 or 919/88 or 10 39/88
Step-by-step explanation:
I used my calculator :)
Answer:
Step-by-step explanation:
18 9/11 - 8 3/8
First, we need to convert these fractions to improper fraction,
(18 * 11 + 9 / 11) - (8 * 8 + 3 / 8)
=> 207 / 11 - 67 / 8
Next, we need to find the LCM, the LCM of 8 and 11 = 88 (This is because 8 and 11 share no common factors other than 1, so the LCM will be the product of the 2 numbers)
=> (207 * 8) / (11 * 8) - (67 * 11) / (8 * 11)
=> 1656 / 88 - 737 / 88
So, then we just need to subtract the numerators to get the answer,
=> (1656 - 737) / 88
=> 919 / 88
Now, let us return it to the mixed fraction form,
=> 10 39/88
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Find each product.
Any could please ASAP
Answer:
8x+6
12p^2 -28p
8a^2 -10a
40v+16
12x-6
48x+12
12k+42
42n+36
8k-16
7k^5 +7k^4
20a+30
9p^3 -15p^2
56n^2 +35n
21v^3 +12v^2
20p^2 +8p
36b-6
48n-36
30b-48
42n+6
12x+12
Step-by-step explanation:
I REALLY hope this helps, because the hardest part was trying to go back and forth looking at the question and answering for 20 times ;-;
Armando walks around the trail in his neighborhood 4 times. One trip
around the trail is 0.28 mile. How many total miles does Armando walk?
Write an equation and create a model using base-10 blocks to represent
the problem.
I
Equation:
Answer:
1.12
Step-by-step explanation:
.25*4 is 1, then factor in the 0.03 remaining. 0.03*4=0.12 and 1+0.12 is 1.12
What is 1+1 someone help me not really i need world history answers
Answer:
2
Step-by-step explanation:
Answer:
Its 2....
Step-by-step explanation:
1 by itself equals 1...so adding them both makes their value bigger making the number 2.
Polly Brennan earns $10.62 per hour for playing guitar at Kaldi’s coffee shop. She works 15.5 hours a week. What is the musician’s straight time pay?
two angles are complementary. The larger angle is 6 more than five times the other. How large is the smaller angle?
Answer:
14 degrees
Step-by-step explanation:
Complementary angles means they add up to 90 degrees.
If the smaller angle times 5 plus 6 equals the bigger angle, then:
14 x 5 = 70
70 + 6 = 76
76 + 14 = 90
The measurements of the angles are 76 degrees and 14 degrees because the sum of the two complementary angles is up to 90 degrees.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
Let x and y be the numbers:
From the definition of the complementary numbers:
x + y = 90
x = 6 + 5y
The above represents two linear equations in two variables solved by the substitution method:
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
6 + 5y + y = 90
6y = 90 - 6
6y = 84
y = 84/6
y = 14 degrees
The measure of the other angle x = 90 - 14 = 76 degrees
Thus, the measure of the angles is 76 degrees and 14 degrees because the sum of the two complementary angles is up to 90 degrees.
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what is 12 1/2% as a fraction in simplest form
Answer:
25/2 I believe
Step-by-step explanation:
The line segments are translated 2 units to the right to form E'F' and G'H'. Which statement describes E'F' and G'H'?
Line segments E'F' and G'H' do not intersect and are closer together than EF and GH.
Line segments E'F' and G'H' intersect at (−2, 0) and are two times farther apart than EF and GH.
Line segments E'F' and G'H' intersect at (0, −2) and are two times closer together than EF and GH.
Line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.
Answer:
Line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a final location. Types of transformation are reflection, rotation, translation and dilation. Translation is a rigid transformation that is it preserves shape, size and angle.
The locations of the point are E(-1, 2) , F(3,2), G(-1, 1), H(3,1). If a translation is done 2 units to the right (i.e. x + 2, y), the new location of the points is:
E'(1, 2), F'(5,2) G'(1,1), H'(5,1). Hence line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.