Answer: x=28/3=9.333
Step-by-step explanation:
Answer:
1/2 + 2/3 × 3/14
Step 1: you multiply first
= 2/3 × 3/14
= 6/42
= 7
Step 2: Now add
= 1/2 + 7
LCM = 14
= 1/2 + 7/1
= 1 + 14
2
= 15/2.
or 7.5
or 7½
My friend Yoy decided to buy some vreels and totts. Altogether, he
planned to buy 10 items.
Write an equation in standard form showing the relationship between
vreels (x) and totts (y).
Answer:
x + y = 10
Step-by-step explanation:
$640.76+_____ = $1,375.28
Answer:
734.52
Step-by-step explanation:
Subtract
Find the sum of the first 46 terms of the following series, to the nearest integer
12, 15, 18
Answer: 3657
Step-by-step explanation:
18-15=3
15-12=3
3 ==> rate of change per term
3*46=138
138-3=135
135+12=147 ==> 46th term
Now find the average of the first and 46th term of the sequence:
(147+12)/2=
159/2=79.5
Now multiply the average by 46 to find the sum of the sequence.
79.5*46=
159*23=3657 ==> sum of 46 terms
Need help ez question
Answer:
x = 0.25
Step-by-step explanation:
[tex]9\sqrt{x} =5-2x[/tex]
[tex]81x = 25 - 20x + 4x^{2}[/tex]
[tex]0=4x^{2} -101x+25[/tex]
[tex]0 = 4x^{2} -1x-100x+25[/tex]
[tex]0=x(4x-1)-25(4x-1)\\0=(x-25)(4x-1)[/tex]
[tex]x=25,\frac{1}{4}[/tex]
[tex]2*25+9\sqrt{25} =5\\50+9*5=5\\50+45=5\\95=5[/tex]
[tex]2*\frac{1}{4}+9\sqrt{\frac{1}{4} } =5 \\0.5+9*\frac{1}{2} =5\\0.5+4.5=5\\5=5[/tex]
Answer:
[tex]x=\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given equation:
[tex]2x+9\sqrt{x}=5[/tex]
Subtract 2x from both sides to isolate the square root:
[tex]\implies 2x+9\sqrt{x}-2x=5-2x[/tex]
[tex]\implies 9\sqrt{x}=5-2x[/tex]
Square both sides to eliminate the square root:
[tex]\implies (9\sqrt{x})^2=(5-2x)^2[/tex]
[tex]\implies 81x=(5-2x)(5-2x)[/tex]
[tex]\implies 81x=25-20x+4x^2[/tex]
Subtract 81x from both sides:
[tex]\implies 81x-81x=25-20x+4x^2-81x[/tex]
[tex]\implies 0=25-101x+4x^2[/tex]
[tex]\implies4x^2-101x+25=0[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:
[tex]\implies ac=4 \cdot 25=100[/tex]
[tex]\implies b=-101[/tex]
Therefore, the two numbers are -1 and -100 as:
[tex]\implies -1 \cdot -100=100=a[/tex]
[tex]\implies -1+(-100)=-101 =b[/tex]
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies4x^2-x-100x+25=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies x(4x-1)-25(4x-1)=0[/tex]
Factor out the common term (4x - 1):
[tex]\implies (x-25)(4x-1)=0[/tex]
Apply the zero-product property:
[tex](x-25)=0 \implies x=25[/tex]
[tex](4x-1)=0 \implies x=\dfrac{1}{4}[/tex]
Input each solution into the original equation to check its validity:
[tex]\begin{aligned}x=25 \implies 2(25)+9\sqrt{25}&=5\\50+9(5)&=5\\50+45&=5\\95 & \neq 5\end{aligned}[/tex]
Therefore, x = 25 is not a valid solution.
[tex]\begin{aligned}x=\dfrac{1}{4}\implies 2\left(\dfrac{1}{4}\right)+9\sqrt{\dfrac{1}{4}}&=5\\\dfrac{1}{2}+9(\dfrac{1}{2})&=5\\\dfrac{1}{2}+\dfrac{9}{2}&=5\\\dfrac{10}{2}&=5\\5 & = 5\end{aligned}[/tex]
Therefore x = ¹/₄ is a valid solution.
Therefore, the only valid solution to the equation is x = ¹/₄.
Which number should go in the shaded overlap factors if 30 -and factors if 20
Answer:
1,2,5,10
Step-by-step explanation:
hope this helps
A rental car agency charges $170 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $330?
the three perpendicular bisectors of a triangle meet at a point called the _____
Answer:
circumcentre
Step-by-step explanation:
the point of intersection of of the perpendicular bisectors of the triangle's sides is called the circumcentre.
The circumcentre is equally far away from the triangle's 3 vertices.
can someone please explain how to find the quotient of 405/27 fraction using long division? :)
The quotient of 405/27 fraction using division is 15.
How to calculate the fraction?It should be noted that the information is simply to divide the numbers.
In this case, the numerator is 405 and the denominator is 27
Therefore, the quotient based on the information illustrated will be:
= 405 / 27
= 15
Therefore, the quotient is 15.
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what are 3 equivalent ratios for 1 2/3:4/4
Answer: Three Equivalent ratios for 1 2/3:4/4 = 4:1, 4:1, 4:1
Step-by-step explanation:
Define Equivalent ratio:
Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.
All equivalent fractions get reduced to the same fraction in their simplest form.
Explanation:
All those fractions obtained by multiplying both the numerator and denominator of 12/3 by the same integer are equivalent to 12/3.
12/3 × 2/2 = 24/6 = 4
12/3 × 3/3 = 36/9 = 4
12/3 × 4/4 = 48/12 = 4
4, 4, 4, ... are equivalent to 12/3.
All those fractions obtained by multiplying both the numerator and denominator of 4/4 by the same integer are equivalent to 4/4.
4/4 × 2/2 = 8/8 = 1
4/4 × 3/3 = 12/12 = 1
4/4 × 4/4 = 16/16 = 1
1, 1,1, ... are equivalent to 4/4.
Therefore,
Equivalent ratios for 1 2/3:4/4 = 24/6:8/8, 33/9:12/12, 48/12:16/16
Three Equivalent ratios for 1 2/3:4/4 = 4:1, 4:1, 4:1
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Solve each equation. Round to the nearest ten-thousandth. Check your answers.
12y⁻²=20
12[tex]y^{-2}[/tex] = 20 => y = 0.774, by basic algebra.
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.Given: 12[tex]y^{-2}[/tex] = 20
=> [tex]\frac{12}{y^2}[/tex] = 20
=> [tex]\frac{12}{20} = y^2[/tex]
=> [tex]y^2 = \frac{3}{5} = 0.6[/tex]
=> y = 0.774.
Hence, 12[tex]y^{-2}[/tex] = 20 => y = 0.774, by basic algebra.
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How would I find the internal and external volume of something like this?
The figure consists of dodecahedrons having different edge length, e.
The external volume, [tex] V_{e}[/tex], is given by the formula;
[tex]V_e = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_e}^{3} [/tex]The internal volume, [tex] V_{i}[/tex], is given by the formula;
[tex] V_i = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_i}^{3} [/tex]What is the volume of a dodecahedron?The given figures consists of solids that are pentagonal faced.
The number of faces of the solid = 12
The shape of the solids are known as a dodecahedron
The formula for the external volume, [tex] V_{r}[/tex], is given as follows;
[tex]V_e = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_e}^{3} [/tex]
Where;
[tex] e_{e}[/tex] = The length of the edges on the outside of the dodecahedron.
Given that the length of the edges on the inside are measured to be [tex] e_{i}[/tex], the internal volume is given by the formula;
[tex] V_i = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_i}^{3} [/tex]
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What is the solution of each equation? Check your answers.
(b) 2 e -x=20
The solution of each equation 2 e -x=20 is -7.281.
What is an equation ?
2 e -x=20
Here e=2.7182
e-x =10
x = -7.281
A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.
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How many roots , real or complex, does the polynmial 7+5x^4 - 3x^2 have in all?
the number of roots of the polynomial 7 + 5 x⁴ - 3 x² is 4.
We are given a polynomial:
7 + 5 x⁴ - 3 x²
We need to tell the number of roots that the polynomial has.
a polynomial is an expression consisting of indeterminates and coefficients.
It is the one that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Example: x² − 4x + 7.
We know that:
Number of roots = highest power of the variable of the polynomial
Here, the number of roots will be:
roots = 4
Therefore, we get that, the number of roots of the polynomial 7 + 5 x⁴ - 3 x² is 4.
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The table shows the total distance that Myra runs over different time periods.
A 2-column table with 5 rows titled Time and Distance Ran by Myra. The first column is labeled Time (minutes) with entries 0, 2, 4, 6, 8. The second column is labeled Distance (miles) with entries 0.0, 0.4, 0.8, 1.2, 1.6.
Which describes Myra’s distance as time increases?
increasing
decreasing
zero
constant
The option that describes Myra’s distance as time increases is increasing.
What is the change in Myra's distance?
Looking at the table provided, it can be seen that as time passes, the distance ran by Myra increases. It can be seen that distance increases from 0.4miles to 0.8 miles when time increases from 2 seconds to 4 seconds.
Change in distance run per time = change in distance / change in time
(0.4 - 0) / (2 - 0)
0.4 / 2 = 0.2
Myra's distance increases by 0.2 per second. This means that Myra is running at a constant speed. Thus, the rate of the increase in the distance run by Myra is a constant 0.2 per second.
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Answer:
the answer is increasing
Simplify each expression. x¹/₆ . x¹/₃
Ayuda esto es de mates
[tex]\displaystyle\\Answer:\ 6\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]\displaystyle\\4\frac{2}{3} -(-1\frac{1}{2})=\\\\ 4\frac{2}{3} +1\frac{1}{2}=\\\\\frac{4*3+2}{3} +\frac{1*2+1}{2}=\\\\\frac{12+2}{3}+\frac{2+1}{2}=\\\\\frac{14}{3}+\frac{3}{2}=\\\\\frac{(14)(2)+(3)(3)}{(3)(2)} =\\\\\frac{28+9}{6} =\\\\\frac{37}{6} =\\\\\frac{36+1}{6}=\\\\\frac{36}{6} +\frac{1}{6}=\\\\\frac{(6)(6)}{6}+\frac{1}{6}=\\\\6+\frac{1}{6}=\\\\6\frac{1}{6}[/tex]
All of the following expressions are equal to N except_
A -(-N)
B -N
C INI
D I-NI
Answer:
B -N
Step-by-step explanation:
A This is -1 x - N. a negative times a negative is always positive. So -1 x -N = 1N= N
C The absolute value of N is N so this is also correct.
D The absolute value of a negative number is always positive so |-N| = N
Does the table represent an exponential function
x1234
y 39 27 81
Ono
Oyes
Answer:
No.
Step-by-step explanation:
A highway agent sampled cars going from one state to a neighboring state. In his report, he indicated that of the 93 cars sampled,
36 cars were driven by women, 56 cars were sport-utility vehicles, 47 cars had two or more passengers, 28 cars were driven by
women in sport-utility vehicles, 27 cars were driven by women and had two or more passengers, 22 cars were sport-utility vehicles
and had two or more passengers, and 16 cars were driven by women in sport-utility vehicles and had two or more passengers.
After his supervisor reads the report, she explains to the agent that he made a mistake. Explain how his supervisor knew that the
agent's report contained an error.
Select the correct choice below and fill in the answer box to complete your choice.
(Type a whole number.)
OA. The agent's last four statements indicate that at least
cars were driven by women. This contradicts the agent's first
statement, which says that only 36 such cars were seen.
OB. The agent's first three statements indicate that at least
or more passengers. This contradicts the agent's seventh
OC. The agent's last four statements indicate that at least cars were sport-utility vehicles. This contradicts the agent's
second statement, which says that only 56 such cars were seen.
cars were driven by women in sport-utility vehicles and had two
statement, which says that only 16 such cars were seen.
Solve the following proportion by cross multiplying: ( x + 2 ) / 6 = ( x - 4 ) / 3
The following proportion by cross multiplying:
( x + 2 ) / 6 = ( x - 4 ) / 3 is -19
Given:
( x + 2 ) / 6 = ( x - 4 ) / 3
( x + 2 )=2(x-4)
x+2=2x-8
x=-10
If the ratio between the first and second amounts is identical to the ratio between the second and third, the three quantities are said to be in continuing proportion. Similarly, the ratio between the first and second amounts in a continuous proportion will be equal to the ratio between the third and fourth.
Consider the following two ratios: a:b and c:d. We shall convert the means of the two specified ratio terms to a single term/number in order to get the ongoing proportion.
This is the LCM of means in general, and for the given ratio, the LCM of b & c is bc. As a result of multiplying the first ratio by c and the second ratio b.
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Two points on the graph of the linear function f are (0,3) and (3,9) . Write a function g whose graph is a reflection in the x-axis of the graph of f. g(x)=?
The function g whose graph is a reflection in the x-axis of the graph of f is g(x) = -2x - 3
How to write a function g whose graph is a reflection in the x-axis of the graph of f?The points on the function f are given as
(0,3) and (3,9)
Calculate the slope of f using
m = (y2 - y1)/(x2 - x1)
So, we have
m = (9 - 3)/(3 - 0)
Evaluate
m = 2
A linear equation is represented as
y = mx + c
Where m = slope
i.e. m = 2
c = y-intercept
i.e. c = y, when x = 0
In (0,3), we have
c = 3
So, the equation is
y = 2x + 3
The reflection of the equation on the x-axis is
g(x) = -f(x)
So, we have
g(x) = -2x - 3
Hence, the function g whose graph is a reflection in the x-axis of the graph of f is g(x) = -2x - 3
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I’m really stuck on my homework. I’ll give brainliest to anyone willing to help me questions 22-33. Thank you!
A 5 pack of jump ropes cost $12.65. What is unit price?
Answer:
$2.53
Step-by-step explanation:
Unit price = total price / quantity
Unit price = $12.65 / 5
Unit price = $2.53
Select the locations on the number line to plot the points −2 , −11 , and −17 .
Number Line :
In math, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length. A number line can be extended infinitely in any direction and is usually represented horizontally.
or
A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.
On a number line, a number on the left is always less than a number on the right. Similarly, a number on the right is always greater than a number on the left.
The Number Line app helps students visualize number sequences and illustrate strategies for counting, comparing, adding, subtracting, multiplying, and dividing. Choose number lines labeled with whole numbers, fractions, decimals, or negative numbers. Or use a custom number line, with or without tick marks, and set your own interval.
Show intervals between points on the line using forward or backward jumps above and below the line. Jumps can also be labeled with their values or left blank. Add custom tick marks to the number line to show equivalence or compare number values.
Basic Number Line Skills:
1. Find the dot marked on a number (and name the dot)
2. Place a dot at the desired location
3. Find the desired number below the number line’s tick mark*
-17 -11 -2 0
-----|-----------------|----------|----------------|-----------------------------------------------Number line
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Number 15. Find MN please! I do give brainliest!
Answer:
MN = 5
Step-by-step explanation:
From inspection of the given diagram:
[tex]\textsf{MN = $2.5x$}[/tex][tex]\textsf{NR = $x$}[/tex][tex]\textsf{MNR = $5x - 3$}[/tex]Therefore:
[tex]\implies \sf MN+NR=MNR[/tex]
[tex]\implies 2.5x+x=5x-3[/tex]
[tex]\implies 3.5x=5x-3[/tex]
Add 3 to both sides:
[tex]\implies 3.5x+3=5x-3+3[/tex]
[tex]\implies 3.5x+3=5x[/tex]
Subtract 3.5x from both sides:
[tex]\implies 3.5x+3-3.5x=5x-3.5x[/tex]
[tex]\implies 3=1.5x[/tex]
[tex]\implies 1.5x=3[/tex]
Divide both sides by 1.5:
[tex]\implies 1.5x \div 1.5=3 \div 1.5[/tex]
[tex]\implies x=2[/tex]
Substitute the found value of x into the expression for MN:
[tex]\implies \textsf{MN}=2.5(2)[/tex]
[tex]\implies \textsf{MN}=5[/tex]
Express 763 thousandths in
scientific notation
[tex]763 \times 10 {}^{3} = 7.63 \times 10 {}^{5} [/tex]
Let u=[-5 3], v=[4 -3] , and w=[2 2] . Find the following vectors . 2u+3v
Given u = [-5 3], v = [4 -3] , and w = [2 2], by applying addition and scalar multiplication of vectors, 2u + 3v = [2, -3]
In the 2D coordinate system, vectors can be split into x-component and y-component.
A vector s = [3,–1], which means:
x-component = 3
y-component = –1
Some vector operations:
Addition / subtraction of vectors: Just add or subtract the corresponding components. For example: q = [1,5] and s = [6,-3]In the given problem:
u = [-5 3], v = [4 -3] , and w = [2 2]
Then,
2u = 2.[-5 3]
= [2.(-5), 2. 3] = [-10, 6]
3v = 3. [4 -3]
= [3. 4, 3. (-3)] = [12, -9]
Hence,
2u + 3v = [-10, 6] + [12, -9]
= [-10+12, 6-9]
= [2, -3]
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Is the equation y=x+1 / x²+1 in simplest form? Explain how you can tell.
According to the question, the equation [tex]\frac{x+1}{x^{2} +1}[/tex] is the algebraic equation as well as polynomial equation. Using square root principles, the equation can be re-write.
The factors of the denominator term is not possible and it cannot be simplified. And the simplification is possible with the concept of complex number.
What is polynomial expression?
Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.
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Marsha pays $20 each month for a car wash membership. Which of the following represents the total amount subtracted from her account after 6 months of having the membership?
Please help. Can you also please put the explanation?
Answer: she spent 40 minutes answering the phone calls
Step-by-step explanation:
Its 40 minutes because she spends 20 minutes delivering flowers and she worked at the hospital for 60 minutes that day. So, if you take away the 20 minutes for the 60 minutes, she spent she will only have 40 minutes left to answer calls.