Answer:
2/3
I hope it will be useful.
Rewrite the equation below so that it does not have fractions.
2-2/3x=3/7
Do not use decimals in your answer.
Answer:
42 - 14x = 9
Step-by-step explanation:
Given
2 - [tex]\frac{2}{3}[/tex] x = [tex]\frac{3}{7}[/tex]
Multiply through by 21 ( the LCM of 3 and 7 ) to clear the fractions
42 - 14x = 9 ← with no fractions
Answer:
14x - 33 = 0
Step-by-step explanation:
2 - (2/3) x = 3/7
6 - 2x = 9/7 (multiply 3)
42 - 14x = 9 (multiply 7)
14x - 33 = 0
I really NEED help!
Question 1-
Super Sally works every day in the school office and earns $57 per day. Lazy Petunia shows up to work fewer than half as many days as Sally, and earns only $20 per day. At the end of the school year, their total earnings are $7733. The number of days that Petunia worked is closest to a) 20 b) 30 c) 40 d) 50 e) 60
Question 2-
How many 4 digit even numbers can be formed using 0,1 , 5,6, 7, 8 and 9 if repeats of digits are not allowed?
A) 120 B) 240 C) 320 D) 360 E)480
Question 3- The value of 28^983 x 98^984/14^2948
A) 98 B)392 C)784 D) 1372 E)2744
/=division
THANK YOU SO MUCH in advance!
The number of days Super Sally and Lazy Petunia work are illustrations of simultaneous equations
(a) Super Sally and Lazy Petunia
Represent their earnings with the first letters.
So, we have:
[tex]\mathbf{L = \frac 12S}[/tex] -- number of days
[tex]\mathbf{20L + 57S= 7733}[/tex] --- the total earnings
Make S the subject in [tex]\mathbf{L = \frac 12S}[/tex]
[tex]\mathbf{S = 2L}[/tex]
Substitute 2L for S in [tex]\mathbf{20L + 57S = 7733}[/tex]
[tex]\mathbf{20L + 57 \times 2L = 7733}[/tex]
Expand
[tex]\mathbf{20L + 114L = 7733}[/tex]
Add
[tex]\mathbf{134L = 7733}[/tex]
Divide both sides by 134
[tex]\mathbf{L = 57.7}[/tex]
From the options, the closest to 57.7 is 60.
Hence, the number of days that Petunia worked is closest is 60
(b) 4 digit even numbers
The digits are given as: 0, 1, 5, 6, 7, 8 and 9
To create a 4-digit number, the first digit cannot be 0.
So, the first digit can be any of the remaining 6
Because, it is an even number, the number can only end with 0, 6 or 8
So, the last digit can be any of the 3
Since there is no repetition, the second and the third digits can be any of the remaining 5 and 4 digits, respectively.
So, the number of digits is:
[tex]\mathbf{n =6 \times 3 \times 5 \times 4}[/tex]
[tex]\mathbf{n =360}[/tex]
Hence, the number of digits is (d) 360
(c) The value of 28^983 x 98^984/14^2948
Rewrite the expression as:
[tex]\mathbf{\frac{28^{983} \times 98^{984}}{14^{2948}}}[/tex]
Express all number as a base of 14
[tex]\mathbf{\frac{14^{2 \times 983} \times 14^{7 \times 984}}{14^{2948}} }[/tex]
Apply law of indices
[tex]\mathbf{14^{2 \times 983+7 \times 984-2948}}[/tex]
Evaluate all products
[tex]\mathbf{14^{1966+6888-2948}}[/tex]
Evaluate the exponent
[tex]\mathbf{14^{5906}}[/tex]
Hence, the result of [tex]\mathbf{\frac{28^{983} \times 98^{984}}{14^{2948}}}[/tex] is [tex]\mathbf{14^{5906}}[/tex]
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A company is assembling packages of life jackets for boats. The table below shows the number of children’s life jackets and the number of adult life jackets in some different packages.
The ratio of the number of children’s life jackets to the number of adult life jackets in each package is constant. Based on the information shown in the table, which two ratios could also be included in the table?+
Contents of Life Jacket Packages
Number of Children’s Size
1,4,7
Number of Adult sizes
6,12,21.
A- 28:32 and 31:35
B-11:22 and 16:32
C- 13:27 and 22:36
D-10:30 and 17:51
Answer: My buy Justin is cracked at fortnite my guy...
Step-by-step explanation:
Answer:
10:30 and 17:51
Step-by-step explanation:
how do I solve this?
Answer:
We conclude that the range of the function will be:
R = {5, 17, 29}
Step-by-step explanation:
Given
Given the function
f(x) = 6x-1
Given the domain
D = {0, 3, 5}
To Determine:
The range R = ?
We know that range of the function consists of all the y-values for the x-values in the domain of the function.
so substituting the values of x = 0, 3, and 5 in the function to determine the corresponding y-values.
Plug in x = 0
y = 6x-1
y = 6(0) - 1 = 6-1 = 5
Plug in x = 3
y = 6x-1
y = 6(3) - 1 = 18-1 = 17
Plug in x = 5
y = 6x-1
y = 6(5) - 1 = 30-1 = 29
Now, combine all the determined y-values which are 5, 17, and 29.
Therefore, we conclude that the range of the function will be:
R = {5, 17, 29}
Andy's savings to earnings ratio is $0.15:$1. If Andy earns $1200, how much will he save?
Answer:
it would be c
Step-by-step explanation:
the image of point A under a 90° rotation about the origin is A'(10, -4). What are the coordinates of point A?
Given:
The image of point A under a 90° rotation about the origin is A'(10, -4).
To find:
The coordinates of point A.
Solution:
90° rotation about the origin means the figure is rotated 90° counterclockwise about the origin and the rule of rotation is
[tex](x,y)\to (-y,x)[/tex]
Let the coordinates of A are (a,b).
[tex]A(a,b)\to A'(-b,a)[/tex]
The image of point A under a 90° rotation about the origin is A'(10, -4).
[tex]A'(-b,a)=A'(10,-4)[/tex]
On comparing both sides, we get
[tex]-b=10\Rightarrow b=-10[/tex]
[tex]a=-4[/tex]
Therefore, the coordinates of point A are (-4,-10).
that 6 > –2, which statements are true? Check all that apply.
Answer:
The following statements are true
(2)(6) > (–2)(2)
6/-2 < -2/-2
6/2 > -2/2
Step-by-step explanation:
Missing options
(2)(6) > (–2)(2)
6/2 < -2/2
(–2)(6) > (–2)(–2)
6/-2 < -2/-2
(2)(6) < (–2)(2)
6/2 > -2/2
Before we know which statement is true, you must understand that when both sides of an inequality is multiplies or divided by a negative number, the inequality sign reverses.
For the first option:
6 > -2
Multiplying both sides by 2 will not reverse the inequality sign
Hence 2(6)>2(-2) is true since the inequality was retained.
For the second option:
6/2 < -2/2
Dividing both sides by 2 will not reverse the inequality sign
Hence 6/2>2/2 is true nullifying the given expression 6/2 < -2/2 . Hence this expression is false
For the third option:
(–2)(6) > (–2)(–2)
Both sides were multiplied by a negative number i.e -2. Hence the sign supposed to reverse because -12 > 4 is false therefore this expression is FALSE
For the fourth option
6/-2 < -2/-2
Both sides were divided by a negative number i.e -2. Hence the sign supposed to reverse because -3 < 1 is true, therefore this expression is TRUE
For the fifth option:
((2)(6) < (–2)(2)
Both sides were multiplied by a positive number i.e 2. Hence the sign is not supposed to reverse because 12 < -4 is False, therefore this expression is FALSE
For the sixth option:
6/2 < (–2)/2
Both sides were divided by a positive number i.e 2. Hence the sign is not supposed to reverse because 3 < -4 is TRUE, therefore this expression is TRUE
What is the sum of the next two numbers in the pattern 169,120,84,59,43,_,_
Answer:
64
Step-by-step explanation:
Here, we want to know the sum of the next two terms
We need to get the pattern first
The difference between the first two numbers is 49 (7^2)
next two is 36 (6^2)
next two is 25 (5^2)
next two is 16 (4^2)
next two will be 3^2 = 43-9 = 34
next will be 2^2 = 34-4 = 30
So the sum here is 30 + 34 = 64
PLESE HELP ME 10 points I NEED HELP
Driving at constant speed, Rusty drove 600 miles in 10 hours.
How many miles would he drive in 15 hours?
Answer:
hello, okay so im in 6th so this is easy. so
Step-by-step explanation:
figure out what 1 mile is. 1 mile would be 600 divided by 10, which is 60. so 60*15 would be 900. so he would drive 900 miles in 15 hours. :);
If Margie worked 47 hours at $8.00 an hour, what is her weekly gross pay?
3x — 2y = –12
y = 4r + 1
Graph
Answer:
(x,y)=(-10/3+8r/3,4r t 1)
Step-by-step explanation:
乁( •_• )ㄏMe da wuebo escribir todo la explicación
The difference between the two numbers is 6. Twice the first number, decreased by the second number is 30. Find the two numbers.
Answer:
??? can you explain it better
Step-by-step explanation:
8x+5x
please help me answer that question thanks !
Answer:
13x
Step-by-step explanation:
8x+5x
13x (collect the like terms)
Carlos's restaurant check is for $24.50. If he wants to add a 17% tip, what total amount should he pay?
Answer:
28.67
Step-by-step explanation:
Please help, 30 points plus brainliest.
What are the coordinates of a point P(x, y) after a dilation with respect to the origin by a scale factor of k?
Answer:
(kx, ky)Step-by-step explanation:
Dilation with respect to origin by a scale factor k will result in:
P(x, y) → P'(kx, ky)A salesman gets a basic wage of £160 per week plus a commision of 30%
of the sales he makes that week.
In one week his total wage was £640
Work out the value of the sales he made that week.
Please help, I really need this answered. Will award brainliest.
Step-by-step explanation:
total profit or income =640+160=800the # means that the answer is ready in my openion i think
Step-by-step explanation:
30÷100×640=192
total income =160+192
=352
weekly sales=?(x)
wage=640
so...
x×0.3+160=640
0.3x=640-160
0.3x=480
x=480÷0.3
x=1600
the weekly sales is 1600
I am just trying...not sure about the answer..just check
what is the value of i=1
Answer:
choice D
Step-by-step explanation:
78Mrs. Smith has a total of 27 kids in her class. There are 6 more boys than there are girls. Write a system of equations to model this.
Some Equations:
6 + x = 27
x + 6 = 27
27 - 6 = x
27 - x = 6
27 = x + 6
27 = 6 + x
There are 11 girls
A system of equations to model this statement is x + (x + 6) = 27.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given, There are 6 more boys than there are girls.
Assuming no. of girls to be x, therefore no. of boys is (x + 6).
Mrs. Smith has a total of 26 kids in her class.
∴ x + (x + 6) = 27.
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Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(-5, 10) and (5, -10)
a.
y = 2 x minus 10
b.
y = 2 x
c.
y = negative 2 x + 20
d.
y = negative 2 x
Answer:
The equation of the line that passes through the given points is:
[tex]y=-2x[/tex]Hence, option D is correct.
The graph of the line equation is also attached below.
Step-by-step explanation:
Given the points
(-5, 10)(5, -10)Finding the slope between (-5, 10) and (5, -10)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:10\right),\:\left(x_2,\:y_2\right)=\left(5,\:-10\right)[/tex]
[tex]m=\frac{-10-10}{5-\left(-5\right)}[/tex]
[tex]m=-2[/tex]
Using the point-slope form to determine the line equation
Point slope form:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -2 and the point (-5, 10)
[tex]y-10=-2\left(x-\left(-5\right)\right)[/tex]
[tex]y-10=-2\left(x+5\right)[/tex]
Add 10 to both sides
[tex]y-10+10=-2\left(x+5\right)+10[/tex]
simplify
[tex]y=-2x[/tex]
Thus, the equation of the line that passes through the given points is:
[tex]y=-2x[/tex]Hence, option D is correct.
The graph of the line equation is also attached below.
Which mathematical equation correctly represents the statement, 6 less than twice the difference of a number and 8 is equal to 14?
Answer:
2(n-8)-6=14
Step-by-step explanation:
what's the product plz help
-8(5) = ___
Simplify: 3(2x+7)-2(x+5)
Answer:
4x-11
Step-by-step explanation:
1. Distribute
6x+21-2x-10
2. Subtract the same numbers
3. You have your answer.
Answer:4x+11
Step-by-step explanation:
Graph two more functions in the same family
Answer:
Please check the explanation.
Step-by-step explanation:
We know that the slope-intercept of the line equation is
[tex]y = mx + b[/tex]
where m is the slope and b is the y-intercept
Please note that a linear equation contains no powers of x besides.
For example, the equation of the form
y = 2x+3
has the slope m = 2 and y-intercept b = 3
The graph is shown below.
Let us graph two more functions of the same family by changing the parameter of y-intercept b.
Graphing y = 2x+5
y = 2x + 5
has same slope m = 2. But, the y-intercept b = 5
The graph of y = 2x+5 is attached below.
Graphing y = 2x+7
y = 2x + 7
has same slope m = 2. But, the y-intercept b = 7
The graph of y = 2x+7 is attached below.
Thus, we would have the following graphs of the family of linear functions.
y = 2x+3y = 2x + 5y = 2x + 7Please notice that all the functions have the same slope m = 2. Thus, all the lines would be parallel.
Thus, from the graph, it is clear that:
The red line represents the function y = 2x+3 with the y-intercept (0, 3)The blue line represents the function y = 2x+5 with the y-intercept (0, 5)The green line represents the function y = 2x+7 with the y-intercept (0, 7)The graph is attached below.
WILL GIVE BRAINLIEST
What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?
A. 3x+ 5y =-9
B. 3x+5y = 9
C. 5x-3y=-15
D. 5x-3y = 15
Solve for x
A. 27 B. 37 C. 30 D. 31
Answer:
A
Step-by-step explanation:
i think
HELPPPPPPPPP MEEEE PLEEEASEEEEEEE! GIVING BRAINLIEST, FIVE STARTS AND THANKSSSSS
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
Answer: x=2, y=2, z=3
Step-by-step explanation: I hope this helps!
Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 10 and the 4 digits make a number divisible by 2.
How many different sets of 4 digits could it be?
Answer:
1500
Step-by-step explanation:
we can write the 4-digit PIN as ABCD
A = factor of 10 so,
A = 1, 2 ,5 (3 possible number or we can write n(A) = 3
B and C are number from 0 - 9 so each have 10 possible number n(B) = 10 and n(C) = 10
D makes the whole number cannbe divide by 2. it means that D must even number 2,4,6,8 or 0. so there are 5 possible number n(D) = 5
so to find how many different sets we just multiply all possible number
n(A) x n(B) x n(C) x n(D)
3 x 10 x 10 x 5 = 1500 different sets
Find the slope of the line.
y
8
(10, 6)
6
4
2
(4, 1.2)
4 6 8 10 x
slope =
Answer:
[tex]\displaystyle m=0.8[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, 1.2)
Point (10, 6)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{6-1.2}{10-4}[/tex]Subtract: [tex]\displaystyle m=\frac{4.8}{6}[/tex]Divide: [tex]\displaystyle m=0.8[/tex]Answer:
[tex]slope = \frac{4}{5} [/tex]
Step-by-step explanation:
slope formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
use the two coordinates given in the graph to find the values
i) (10, 6)
x1 = 10
y1 = 6
ii) (4, 1.2)
x2 = 4
y2 = 1.2
substitute the values into the formula
[tex] \frac{1.2 - 6}{4 - 10} [/tex]
[tex] \frac{ - 4.8}{ - 6} [/tex]
[tex] \frac{4}{5} [/tex]
Simplify the following expressions:
5x + 4 + (-x) -1
Answer:
[tex]4x+3[/tex]
Step-by-step explanation:
[tex]5x+4+(-x)-1[/tex]
Remove parentheses: [tex](-a)=-a[/tex]
[tex]=5x+4-x-1[/tex]
Group like terms
[tex]=5x-x+4-1[/tex]
Add similar elements: [tex]5x-x=4x[/tex]
[tex]=4x+4-1[/tex]
Add/subtract the numbers: [tex]4-1=3[/tex]
[tex]=4x+3[/tex]
Convert 40 yards to feet.
40 ft =?
Answer: 120 ft
Step-by-step explanation:
1 yard = 3 feet
40 yards = 120 feet
40*3=120