The list which orders the numbers from least to greatest is π, √15, 4.1, 4. 85, √30.
To find the list which orders the numbers from smallest to largest we need to find the values of the respective numbers,
In the first list, we have the numbers √13, 2.1, 5.4, √/17, π. The value of √13 = 3.6 and the next term is 2.1. As 2.1 < 3.6, the list does not arrange numbers in increasing order.
In the second list, we have the numbers π, 3.2, 6.3, √17, √20. The value of π is 3.14 and the next terms are 3.2 and 6.3 which are more than the former. But the value of √17 is 4.1 which is less than the previous number 6.3.
In the third list,√23, 2.6, 1.3, √30, π the numbers are not arranged in increasing order as √23's value is 4.8 more than the second number.
In the fourth list, π,√15, 4.1, 4. 85, √30 the numbers are arranged in increasing order when calculated. The value of π is 3.1, of √15 is 3.8, then there are 4.1 and 4.85, and at last, is √30 whose value is 5.5.
Hence, π <√15 < 4.1 < 4. 85 <√30 is the list in the increasing order.
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Please help with these two
Question 2a
[tex]x+6+x+3=17 \\ \\ 2x+9=17 \\ \\ 2x=8 \\ \\ x=4[/tex]
Question 3a
[tex]1+2x+31=x+20 \\ \\ 2x+32=x+20 \\ \\ x+32=20 \\ \\ x=-12[/tex]
Masha is training for a marathon. she is doing tempo runs to get faster. in tempo runs, a runner varies their pace during the race. masha jogs 1 mile , then runs at a fast pace for 11 miles. she finishes by walking 2 miles to cool down. write a numerical expression to model the number of miles masha runs, jogs, or walks?
The numerical expression for model the number of miles to Masha runs, jogs or walks will be;
⇒ 1 + 11 + 2
⇒ 14
What is Addition?
Addition in math is the process of combining two or more numbers. Addends are the numbers added, and the result or the final answer.
Now,
Masha is training for marathon.
Masha jogs 1 mile.
And, runs at a fast pace for 11 miles.
And, For finishing by walking she walk 2 miles to cool down.
Now,
The numerical expression for model the number of miles to Masha runs, jogs or walks will be;
⇒ Miles in jogs + miles in runs + miles in walk
⇒ 1 + 11 + 2
⇒ 14 miles.
Therefore,
The numerical expression for model the number of miles to Masha runs will be;
⇒ 1 + 11 + 2
⇒ 14
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At the zoo, for every 6 adult camels, there are 5 baby camels. There are a total of 44 adult and baby camels at the zoo.
Complete the table.
The number of baby camels at the zoo is 44.
Given: The number of adult camels is 6 and the number of baby camels is 5 for every 6 camels respectively.
To find :We have to find how many baby camels are at the zoo.
Explanation:
Step 1:The ratio of adult camels and baby camels is 6:5
Step 2:Let the number of adult camels = 6x .
Step 3:Let the number of baby camels = 5x
Step 4:It is given that the total number of adult camels and baby camels is 44 at the zoo. So According to the questions,
⇒6x+5x=44
⇒11x=44
⇒x=44/11
⇒x=4
∴The number of adult camels = 6×4
= 24
And the number of baby camels at the zoo.
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The Sydney Opera House can house no more than 5738 people. Luisa Miller always brings crowds of at least 4,000 people. What is the maximum number of empty seats that might not be filled during her performance?
What's the inequality for this story?
Write the steps to solve it
What is the solution?
When this inequality is graphed will the limit be an open or closed circle?
When this inequality is graphed will the line have an arrow pointing to the right or to the left?
The maximum number of seats that might not be filled during her performance is 1738 , the the inequality representing this story is 4000+x≤5738 .
In the question ,
it is given that
Luisa Miller always brings crowds of at least 4,000 people, and
Sydney Opera House can house no more than 5738 people
no more than is represented by the inequality "≤" .
let x be the number of empty seats during her performance .
So, according to the question , the inequality becomes
4000+x≤5738
on solving further , we get
x ≤ 5738-4000
x ≤ 1738
So, maximum number of seats that might not be filled during her performance is 1738 .
When the inequality x ≤ 1738 , will be graphed then the limit will be an closed circle as equal to sign is included in the inequality .
as when the numbers decreases , it move towards left side
So, When the inequality is graphed, the line will have an arrow pointing towards the left .
Therefore , the maximum number of seats that might not be filled during her performance is 1738 ,
the the inequality representing this story is 4000+x ≤ 5738 ,
the limit of graph will be closed circle and arrow will be pointing towards left .
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A salad dressing is made by mixing oil and mayonnaise in the ratio 5 : 2
Jack makes 700 ml of the salad dressing.
How much oil does he use?
Give your answer in millilitres (ml).
The oil he use in the salad 291.66ml
What is Ratio ?
A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
The formula below can be used to determine how much oil Jack consumes:
Jack uses x amount of mayonnaise to make y amount of salad dressing * (5 / (5 + 7)) ---. (1)
If we change the number of ml of salad dressing Jack prepares in equation (1), we get the following result:
Jack uses 291.66 ml of oil, which is equal to 700ml * (5/ (5 +7))
Hence, it will take 291.66ml of oil
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Write an expression for the area of this rectangle. Expand your expression so that your answer does not contain brackets.
Answer:
area= l x b
area= (6-d)3
area= 18-3d
Pls mark as brainliest
shureka washburn has scores of 69,80,71, and 90 on her algebra tests
a. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 77 or higher, given that the final exam counts as two tests.
b. Explain the meaning of the answer to part (a).
Help please
The inequality to find the scores she must make on the final exam to pass the course with an average of 77 or higher is (310 + x) / 5 >= 77.
The meaning is that she should have a score of 75 or higher to pass.
How to calculate the value?From the information, Shureka washburn has scores of 69,80,71, and 90 on her algebra tests and she must make on the final exam to pass the course with an average of 77 or higher.
Therefore, the inequality to express the information will be:
(69 + 80 + 71 + 90 + x)/5 >= 77
(310 + x) / 5 >= 77
Crops multiply
310 + x >= 77 × 5
310 + x >= 385
x >= 385 - 310
x >= 75
She needs 77 or more in order to pass the course.
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Write square root 3 times square root 6 in the form b square root 2 where b is an integer
Answer:
3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{3}[/tex] × [tex]\sqrt{6}[/tex]
= [tex]\sqrt{3(6)}[/tex]
= [tex]\sqrt{18}[/tex]
= [tex]\sqrt{9(2)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]
= 3[tex]\sqrt{2}[/tex]
The cost of a T-shirt is $15.95. Monica has a $5-off coupon that can be used for one T-shirt only. Write an algebraic expression for the cost of t T-shirts, not including sales tax.
The algebraic expression for the cost of t T-shirts, not including sales tax is 15.95t - 5.
Given that:-
Cost of a T-shirt = $ 15.95
Discount on coupon = $ 5 (can be used for one T-shirt only)
We have to write an algebraic expression for the cost of t T-shirts, not including sales tax.
We know that,
Total cost of T-shirts = (Number of T-shirts)*(Cost of one t-shirt) - Discount
Hence, we can write,
C(t) = t*(15.95) - 5
C(t) = 15.95t - 5
Where, C(t) is the cost of t T-shirts and t is the number of T-shirts.
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ABCD is a rectangle. Trapezoid AEFB is congruent to
A
trapezoid CFED. G is the midpoint of segment EF.
E
Select all the ways we could describe the rigid transformation that takes AEFBto CFED.
Answer:
Step-by-step explanation:
In ∆OPQ, q =18cm, o=96cm and
Given the information on the problem, we can use the law of cosines to find the length of p with the following equation:
[tex]p^2=q^2+o^2-2q\cdot o\cdot\cos P[/tex]substituting the values at hand, we get the following:
[tex]\begin{gathered} p^2=(18)^2+(96)^2-2(18)(96)\cos 142 \\ \Rightarrow p^2=324+9216+2723.37 \\ \Rightarrow p^2=12263.37 \\ \Rightarrow p=\sqrt[]{12263.37}=110.74 \\ p=110.7\operatorname{cm} \end{gathered}[/tex]therefore, the length of p is 111 cm
4. Joe Shmoe is guaranteed a minimum of $450 salary plus 3.75% of his
total sales. What are his total sales for a week in which his gross pay was
$650?
Answer:
the total sales are 361 sales a week i did this i got a 100
what is the horizontal asymptote as $x$ approaches positive infinity of $$\sqrt{4x^2 5x} - \sqrt{4x^2 x}?$$the horizontal asymptote is in the form $y
the horizontal asymptote as x tends to infinity that is approaches positive infinity of \sqrt{4x^2+ 9x} - \sqrt{4x^2 +x} is 2
What do the asymptotes mean?
Definition of asymptote
a straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero and the slope of the curve at the point approaches the
slope of the line
[tex]f(x)=\sqrt{4x^2+9x}-\sqrt{4x^2+x} \\\\f(x)=2x(1+\frac{9}{4x}) ^{\frac{1}{2} } -2x(1+\frac{1}{4x})^\frac{1}{2}[/tex]
[tex]f(x)=2x( 1+\frac{1}{2} .\frac{9}{4x} +...... -1 -\frac{1}{2} .\frac{1}{4x} - ......)[/tex]
all the other terms involve 1/powers of x which vanish as x tends to infinity
[tex]f(x)=\frac{9}{4} -\frac{1}{4} +...[/tex]
Hence
[tex]\lim_{x \to \infty} f(x)=2[/tex]
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assume that y is normally distributed n (, 2). moving from the mean () 1.96 standard deviations to the left and 1.96 standard deviations to the right, then the area under the normal p.d.f. is:
assume that y is normally distributed n (, 2). moving from the mean () 1.96 standard deviations to the left and 1.96 standard deviations to the right then P( -1.96 ≤ Z≤ 1.96) = 0.95
assume that y is normally distributed n (, 2). moving from the mean () 1.96 standard deviations to the left and 1.96 standard deviations to the right
Given that the z -scores -1.96 and 1.96
we have to find Probability( -1.96 ≤ Z≤ 1.96)
Probability( -1.96 ≤ Z≤ 1.96) = |A(1.96)+A(-1.96)|
= |A(1.96)+A(-1.96| (∵A(-Z) = A(Z))
= 0.4750+0.4750
= 2×0.4750
= 0.95
The probability lies between -1.96 to 1.96
P( -1.96 ≤ Z≤ 1.96) = 0.95
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What is the approximate of 0.000000005
Answer:
Step-by-step explanation:
0.000000005% can be written as a fraction: 0.000000005 / 100
Hamburgers are sold in packages of 20 well buns are sold in packages of 12 what are the least number of packages you should buy in order to have the same number of hamburgers and buns
60 number of packages needed to have the same number of hamburgers and buns.
In this problem, we are using the concept of Least Common Multiple. The least common multiple (LCM) of two numberts is the smallest number that can be partitioned by both numbers. To have the same number of buns and hamburgers, we just need to calculate the least common multiple of 20 and 12
12's Multiples = 12, 24, 36, 48, 60, 72, 90
20's Multiples = 20, 40, 60, 80, 100
Here we can see the common multiple of 20 and 12 is 60, and the LCM of 20 and 12 is 60. Therefore they need to buy 60 packages in order to have the same number of hamburgers and buns
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you estimate that you can do 30 math problems in 45 minutes. How many minutes should it take you to do 40 math problems?
Answer:
60 minutes
Step-by-step explanation:
Proportions:Number of problems done, and the time taken to finish them are in proportion.
Let the time taken to finish 40 problems = 'x'
30 : 45 = 40 : x
Product of extremes = 30 *x = 30x
Product of means = 45 * 40
Product of extremes = Product of means
30 *x = 45 * 40
[tex]\sf x = \dfrac{45*40}{30}[/tex]
x = 15 * 4
x = 60 minutes
solve the following equation a+2_3 =3_4
The solution for the linear equation is:
a = 1/4.
How to solve the equation?I believe we have the linear equation:
(a + 2)/3 = 3/4
To solve this, we need to isolate the variable a in one of the sides of the linear equation, to do so, we can start by multiplying both sides by 3.
3*(a + 2)/3 = 3*(3/4)
a + 2= 9/4
Now we can subtract 2 in both sideS:
a + 2 - 2 = 9/4 - 2
a = 9/4 - 8/4 = 1/4
a = 1/4
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I think of number double it and subtract two i get nine
Answer: the number in question is 5.5
Step-by-step explanation: brainliest please? i could really use it
Find 7.2x10^-8.
_______
3x10^-2
The simplified form of the expression is 2.4 x 10⁻⁶.
Expression:
An expression is the sentence with a minimum of two numbers/variables and at least one math operation in it.
Given,
Here we have the expression
[tex]\frac{7.2\times10^{-8}}{3\times 10^{-2}}[/tex]
Here we need to simplify this expression.
Here we have to divide this expression first,
Then we get,
[tex]= > \frac{7.2}{3}\times\frac{10^{-8}}{10^{-2}}[/tex]
First, we have to divide the numbers term then we get,
=> 7.2/3 = 2.4
Then we have to solve the exponential form,
For that we have to move the denominator value to upper term,
Then we get,
=> 10⁻⁸ x 10²
=> 10⁻⁸⁺²
=> 10⁻⁶
So, the simplified form is, 2.4 x 10⁻⁶.
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The depth of a local river averages 25 ft, which is represented as (-25). In January, it measured 5 ft deep, or 1-5), and in July, it was 27 ft, or 1-27). What is the differences
between depths in January and July?
Answer:
22 ft
Step-by-step explanation:
Given a river that has a depth in January of -5 ft, and a depth in July of -27 ft, you want the difference between the depths in January and July.
DifferenceThe difference between two numbers is found by subtracting the second from the first:
(January depth) - (July depth) = (-5 ft) -(-27 ft)
= (-5 +27) ft = 22 ft
The difference between depths in January and July is 22 feet.
PLEASE HELP! When you set up your 6-feet-tall beach umbrella this morning, it cast an 8 foot shadow on the sand. How long is the shadow of your little sandcastle, which is proudly standing at 1.5 feet tall?
(Please answer in terms of feet)
Answer:
2 feet
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
6 plus 2 equals 8 and if you add 2 to 1.5 you get3.5
If A= -2, 2, 0, -5, 7, 9, C=-1, -1, -2, -7, 3, 2, and A - B = C, what is B?
B = [tex]\left[\begin{array}{ccc}-1&3&2\\2&4&7\end{array}\right][/tex] if A-B = C and values of A and C is given .
What is Matrix and determinants ?In linear algebra, determinants and matrices are used to solve linear equations by applying Cramer's rule to a collection of non-homogeneous equations that are expressed in linear form. Determinants are only determined using square matrices. If a matrix's determinant is zero, it is referred to as a singular determinant; if it is one, it is referred to as a unimodular matrix. For the system of equations to have a single solution, the determinant of the matrix must be nonsingular, or its value must be nonzero.In this post, we will discuss the definition of determinants and matrices, as well as their many types, characteristics, and instances.Calculation:
since A-B=C
so, A-C=B
plugging in the values :-
[tex]\left[\begin{array}{ccc}-2&2&0\\-5&7&9\end{array}\right] \left[\begin{array}{ccc}-1&-1&-2\\-7&3&2\end{array}\right][/tex] = B
B = [tex]\left[\begin{array}{ccc}-1&3&2\\2&4&7\end{array}\right][/tex]
Hence the value of B is = [tex]\left[\begin{array}{ccc}-1&3&2\\2&4&7\end{array}\right][/tex]
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If the distance from 0 to x on a number line is greater than 0, then -5 + x is positive?
True or false
True.
Given the statement 'If the distance from 0 to x on a number line is greater than 5, then -5+x is positive' is True.
For the given question,
The distance from 0 to x on a number line is greater than 5
We write the above statement in mathematical expression form as,
⇒ |x - 0| > 5
⇒ |x| > 5
⇒ x > 5
We need to determine the value of an expression -5 + x
From (1),
⇒ x > 5
Subtract -5 from both sides,
⇒ -5 + x = -5 + 5
⇒ -5 + x > 0
From the above expression, we observe that the value of the expression is always greater than 1.
This means the value of an expression -5 + x is positive.
Therefore, the given statement 'If the distance from 0 to x on a number line is greater than 5, then -5+x is positive' is True.
In mathematics, a number line can be described as a figure that symbolizes numbers on a consecutive line. The digits on a number line are positioned successively with equal spacing along its length. It can be infinitely expanded in any direction and is often depicted horizontally.
Absolute value is the distance between a digit and zero on a number line. Since the space is forever positive, the absolute value will always be positive.
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Complete the proof
Given: Line AB intersects line DC at point E ; AEB and DEC are straight angles.
Prove: AEC = DEB
∠ AEC = ∠ DEB by using the property of the straight lines.
We are given the two lines AB and CD.
We are given that they intersect at point E and both are the straight lines.
Now, we know that, the sum of angles of a straight line will be equal to 180° (straight line property).
Now, For line AB, we get that:
∠ AED + ∠ DEB = 180° …(1)
For line CD, we get that,
∠AED + ∠ AEC = 180° … (2)
Now, we will subtract (1) from (2) and we get that:
∠ AED + ∠ DEB - ∠AED - ∠ AEC = 180° - 180°
∠ DEB - ∠ AEC = 0
∠ DEB = ∠ AEC
∠ AEC = ∠ DEB
Hence proved.
Therefore, we get that, ∠ AEC = ∠ DEB by using the property of the straight lines.
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For the following system, use the second equation to make a substitution for y in the first equation.2x + y = 6y = 3x + 4What is the resulting equation?y + 2x + y = 62x + y + 3x + 4 = 62x + (3x + 4) = 6
Given:-
[tex]\begin{gathered} 2x+y=6 \\ y=3x+4 \end{gathered}[/tex]To find the resultant value of the sum of the equation.
Solve 2x - y = y for x
A. 2y - 2 B. y - 2 C. y. D. 0
If the ratio of m to n is equal to 5 then which of the following is true?
If ratio of m to n is equal to 5 then, m = 5n
What are ratios?Ratios :- The quantitative relation between two amounts showing the number of times one value contains or is contained within the other are known as ratios.
m/n = 5
m = 5
Therefore, option b is correct i.e. m = 5.
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please help me I need this for my algebra test and I don’t understand it
Answer: Question E: The answer is that A(9) is greater.
Step-by-step explanation:
For questions A and C, you can see that the table is exponentially growing. So the equation will use multiplication. You can also see the value of the equation is growing by x2.
So you could say the table starts at a base of 1/2, then grows exponentially at a rate of 2. (Basically saying the value grows x2 per term). The equation will result in y= 1/2(2)^x
For questions B and D, you can see that the graph is growing linearly. So the equation will use multiplication.
By drawing a line between the lines you can easily see the growth of the triangle. You can then tell the 0th term to 1st term goes right 1 and up 10.
Next, you look at the 1st term to the 2nd term. You can tell that it goes right 1 and up 10. So, the rate is 10 per term. (10x) and it starts at 2 (+2). The equation will result in y=10x+2
Question E, solve each equation by substituting the x by 9.
A(9)
y= 1/2(2)^x
y= 1/2(2)^9
y= 1/2(512)
y=256
B(9)
y=10x+2
y= 10(9) +2
y= 90+2
y=92
The answer is that A(9) is greater.
In 2008, Evan bought a car. In 2010, Evan sold the car to Grace. Evan made a loss of 25%. In 2018,
Grace sold the car for £15225 Grace made a profit of 45% Work out how much Evan bought the car
for in 2008.
The price in which Evan bought the car for in 2008 is 75 percentage or £14000
What is Percentage ?
Percentage (%), which is a relative figure used to denote hundredths of any quantity. One percent is represented by the symbol 1%; hence, 100 percent denotes the entire amount, and 200 percent designates double the amount.
Given,
Loss% = 25%
Profit% = 45%
selling price = £15,225
The price of the car before getting the profit of 45%
= 15225 / 145 x 100
= 105 x 100
= 10500
The price of the car before getting the profit of 45% is £10500
Now, he had a loss of 25%
=100% - 25%
= 75%
So, the price will be
= 10500 / 75 x 100
= 14000
Hence, Evan bought the car for £14000 in 2008
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