Answer:
8x + 3
Step-by-step explanation:
The cost of 5 t-shirts and 3 skirts
= 5(x - 3) + 3(x + 6)
= 5x - 15 + 3x + 18
= (5x + 3x) + (-15 + 18)
= 8x + 3
Answer:
5(x-3)+ 3(x+6)
Step-by-step explanation:
5 (x-3)+ 3(x+6)
IF THE SUM CONSECUTIVE ODD NUMBERS IS 45, FIND THEM. (STEP BY STEP PLZ)
Answer:
[tex]\huge\boxed{\sf 13 , 15 , 17}[/tex]
Step-by-step explanation:
Let x , x+2 and x+4 be the consecutive numbers
Given Condition:
x + x + 2 + x + 4 = 45
3x + 6 = 45
Subtract 6 to both sides
3x = 45 - 6
3x = 39
Dividing both sides by 3
x = 13
So,
The numbers are:
x = 13
x + 2 = 13 + 2 = 15
x + 4 = 13 + 4 = 17
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Answer:
let the number be n
n+n+2+n+4 =45
3n+6=45
3n+6+6=45-6
3n/3=39/3
n=13
n=13
n+2=13+2
=15
n+4=13+4
=17
13,15,17
Step-by-step explanation:
pliz mark brainliest
Shyryia read a book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 out of the total 480 pages left to read. Let y represent the number of pages left to read after x hours.
Complete the equation for the relationship between the number of pages left and number of hours.
Answer:
[tex]y=-52x+480[/tex]
Step-by-step explanation:
Linear Modeling
Some events can be modeled as linear functions. If there is a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:
[tex]y=mx+b[/tex]
The event into consideration is the number of pages of a book left to read by Shyryia.
We know that for x=1.5 hours, she had y=402 out of the total 480 pages left to read. This is the point ( 1.5, 402 ). The other point is not obvious but can be inferred by context. If she hasn't used any time to read (x=0), then she would have y=480 pages left to read. This is the point (0,480).
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Substituting the given points:
[tex]\displaystyle y-402=\frac{402-480}{1.5-0}(x-1.5)[/tex]
[tex]\displaystyle y-402=\frac{-78}{1.5}(x-1.5)[/tex]
Operating:
[tex]y-402=-52(x-1.5)[/tex]
[tex]\mathbf{y=-52x+480}[/tex]
Answer:
-52x+480.
Step-by-step explanation:
I took the test, definitely correct
2. Write 15% as a decimal. (1 point)
1.5
0.15
0 0.015
0.0015
Please help... Question is in the picture
Answer:
B) (0,1)
Step-by-step explanation:
The line crosses the y-axis at (0, 1), so that makes (0, 1) the y-intercept.
Hope this helps!
An electrician charges a base fee of $70 plus $50 for each hour of work. The minimum the electricin charges is $170. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of work. Determine the domain and range of the relation in context and explain whether or not this represents a function. The domain values are , , , and . (Blanks 1 - 4)
The domain is the (student age/number of pets) . (Blank 5)
The range values are , , , and . (Blanks 6 - 9)
The range is the (student age/number of pets) . (Blank 10)
This relation (is / is not) a function.
What is the equation of the line that passes through the point (-4,8) and has a slope of -1/4
* 25. a. Write 3 3/4, as an improper fraction.
(10)
b. Write the reciprocal of answer a.
c. Find the product of answers a and b.
Answer:
3 in this case is equal to 12/4 (as that simplifies to get 3/1, which is simply 3). Adding this to 3/4, you get 15/4.
The reciprocal of 15/4 is 4/15.
The product of these two is 60/60, or 1
Step-by-step explanation:
3644-878 x 4 = a
a+54-21=b
a =
b =
the answer is supposed to be 132 at the most of a
for b it is 165
Answer:
a=132
b=165
Step-by-step explanation:
,
Sara walks at a constant speed. She walked 1 mile in 15 minutes. Which equation represents the amount of time in minutes, t, that it took for her to walk a distance of d miles? *
t = (1/15)d
t = 15d
t = d + 15
t = d - 15
Answer:
t=15d
Step-by-step explanation:
The problem is asking for total time, so we can set everything equal to t. If it takes 15 minutes for 1 mile and she's walking at a constant speed, we know that the solution is t=15d.
We can plug in one mile to verify this answer.
t=15(1)
t=15
Hope this helped!
What are some rules you need to know when solving absolute value inequalities and equations?
Answer:
An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.
Step-by-step explanation:
hope this helps!
Answer: -absolute value inequalities work two ways, not 1
-if it's greater than anything less than 0, then the solution is all real numbers
- if it's less than zero, there is no solution
-dividing by -1 flips the sign
Step-by-step explanation:
These are just some of the rules that I know
how in the world do you do this problem
(-1,0)
y+__= 4(x+2)
Use the properties of logarithms to expand the expression as a sum or difference, and/or constant multiple of logarithms. (Assume all variables are positive)
Answer:
[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]
Step-by-step explanation:
[tex]\log_5(\frac{9\sqrt{x}}{y^3})[/tex]
First rule I'm going to use is the quotient rule:
[tex]\log_b(\frac{m}{n})=\log_b(m)-\log_b(n)[/tex]
[tex]\log_5(9\sqrt{x})-\log_5(y^3)[/tex]
Secondly, I'm going to rewrite the radical.
[tex]\sqrt{x}=x^\frac{1}{2}[/tex]
[tex]\log_5(9x^\frac{1}{2})-\log_5(y^3)[/tex]
Third, I'm going to use the product rule on the first term:
[tex]\log_b(mn)=\log_b(m)+\log_b(n)[/tex]
[tex]\log_5(9)+\log_5(x^\frac{1}{2})-\log_5(y^3)[/tex]
Fourth, I'm going to use power rule for both of the last two terms:
[tex]\log_b(m^r)=r\log_b(m)[/tex]
[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]
What is the solution of 13 = t + 7 t
Answer:
t=1.625
Step-by-step explanation:
13=8t
divide both sides by 8
t=1.625
what is the slope of the linear graph in simplest form? SHOW WORK PLEAS!!!
Answer:
The slope is -5
Step-by-step explanation:
For every 1 value moved in the x value, the line goes 5 values down. This means the slope is -5/1 or -5.
I hope that this helps! :)
Describe the pattern in the table using words, an equation, and a graph. Extend the pattern for x=5, 6 and 7.
Answer:
Step-by-step explanation:
x y Difference [tex](y_2-y_1)[/tex]
1 15 -
2 25 25 - 15 = 10
3 35 35 - 25 = 10
4 45 45 - 35 = 10
There is a common difference of 10 in each successive term of y.
Therefore, table represents a linear function.
Let the equation of the linear function is,
y = mx + b
Here 'm' = slope of the line
b = y-intercept
Since, two points (1, 15) and (2, 25) lie on the graph of the function,
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{25-15}{2-1}[/tex]
m = 10
Equation of the line will be,
y = 10x + b
For the value of 'b' (y-intercept),
Since, (1, 15) lies on the graph of the linear function,
15 = 10(1) + b
b = 15 - 10
b = 5
Equation of the line on the graph will be,
y = 10x + 5
Now we can determine the output value of the function with the input values, x = 5, 6 and 7
[tex]y_1[/tex] = 10(5) + 5 = 55
[tex]y_2[/tex] = 10(6) + 5 = 65
[tex]y_3[/tex] = 10(7) + 5 = 75
SOMEONE HELP ILL KISS U
Answer:
0, 5x
Step-by-step explanation:
0 in the first box
5x in the second box
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the system by substitution.
⎧
⎪
⎨
⎪
⎩
−
x
−
y
−
z
=
−
8
−
4
x
+
4
y
+
5
z
=
7
2
x
+
2
z
=
4
Answer:
5 is the answer
Step-by-step explanation:
because i said it was
Simultaneous equations can be solved by substitution, elimination, graphs and by matrices.
The values of x, y and z are:
[tex]\mathbf{x =3}[/tex].[tex]\mathbf{y = 6}[/tex].[tex]\mathbf{z = -1}[/tex]The equations are given as:
[tex]\mathbf{-x - y -z = -8}[/tex]
[tex]\mathbf{-4x + 4y +5z = 7}[/tex]
[tex]\mathbf{2x +2z = 4}[/tex]
Make z the subject in [tex]\mathbf{2x +2z = 4}[/tex]
[tex]\mathbf{2z = 4 - 2x}[/tex]
Divide by 2
[tex]\mathbf{z = 2 - x}[/tex]
Substitute [tex]\mathbf{z = 2 - x}[/tex] in [tex]\mathbf{-x - y -z = -8}[/tex]
[tex]\mathbf{-x - y -z = -8}[/tex]
[tex]\mathbf{-x - y - (2-x) = -8}[/tex]
[tex]\mathbf{-x - y - 2+x = -8}[/tex]
Cancel out common terms
[tex]\mathbf{- y - 2 = -8}[/tex]
Add 2 to both sides
[tex]\mathbf{- y = -8+2}[/tex]
[tex]\mathbf{- y = -6}[/tex]
Divide by -1
[tex]\mathbf{y = 6}[/tex]
Substitute [tex]\mathbf{z = 2 - x}\mathbf{\ and\ y = 6}[/tex] in [tex]\mathbf{-4x + 4y +5z = 7}[/tex]
[tex]\mathbf{-4x + 4 \times 6 + 5 \times (2 - x) = 7}[/tex]
[tex]\mathbf{-4x + 24 + 5 \times (2 - x) = 7}[/tex]
Open brackets
[tex]\mathbf{-4x + 24 + 10 - 5x = 7}[/tex]
Collect like terms
[tex]\mathbf{-4x - 5x =- 24 - 10 + 7}[/tex]
[tex]\mathbf{-9x =-27}[/tex]
Divide through by -9
[tex]\mathbf{x =3}[/tex]
Recall that: [tex]\mathbf{z = 2 - x}[/tex]
So, we have:
[tex]\mathbf{z = 2-3}[/tex]
[tex]\mathbf{z = -1}[/tex]
Hence, the results are:
[tex]\mathbf{x =3}[/tex]
[tex]\mathbf{y = 6}[/tex]
[tex]\mathbf{z = -1}[/tex]
Read more about simultaneous equations at:
https://brainly.com/question/10852714
Which expression shows the sum of the polynomials with like terms grouped together?
10x’y+2xy2 - 4x2 - 4x^y
o [(-4x) + (-4x²y) + 10x?y] + 2xy?
o 10x+y+2xy?= [(-4x2)+(-4x²y)]
• (-4x2) + 2xy +[10x²y+ (-4x?y)]
o (10x+y+2xy?+ (-4x+y)]+(-4x)
Answer:
C (-4x2) + 2xy + (10x^2 y + ( -4x^2 y )
Step-by-step explanation:
I got it right on the test :3 UNUS ANNUS
Polynomial (3) [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex] gives the sum of the given polynomial [tex]10x^2y+2xy^2-4x^2-4x^2y[/tex] with like terms grouped together.
What is Polynomial?Polynomial is a mathematical expression made of one or more algebraic terms (variable) with different powers and different combinations and coefficients.
We can add or subtract only like terms in a polynomial, and like terms are which have the same variable combination with similar power but the coefficient can be different.
Here given polynomial is [tex]=10x^2y+2xy^2-4x^2-4x^2y[/tex]
Here we have to group the like terms in the given polynomial which are [tex]10x^2y,(-4x^2y)[/tex].
So grouping the like terms we can write the sum of the given polynomial as [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex].
Hence option (3) is correct.
Learn more about Polynomial here -
https://brainly.com/question/1600696
#SPJ2
plz refer and no nonsense
Answer:
132
Step-by-step explanation:
area of square =4l
= 4× 11
=44
total length =44×3
=132m
HELP PLZ!
Which fraction is equal to 0.7?
A) 7/99
B.) 7/11
C.) 7/10
D.) 7/9
Which fraction is equal to 0.54?
A.) 27/50
B.) 49/90
C.) 6/11
D.) 5/4
How can the decimal 0.57 be written as a fraction?
A.) 19/33
B.) 57/100
C.) 56/99
D.) 577/999
Answer:
the first one is A the second one D the third one B
Step-by-step explanation:
hope this will help you
Answer:
Which fraction is equal to 0.7?
C.) 7/10
Which fraction is equal to 0.54?
A.) 27/50
How can the decimal 0.57 be written as a fraction?
B.) 57/100
Step-by-step explanation:
Hope this helps and have a great day :)Which statement best explains whether the table represents a linear or nonlinear function?
It is a linear function because there is a constant rate of change in both the input and output values.
It is a nonlinear function because there is a constant rate of change in both the input and output values.
It is a linear function because the input values are decreasing.
It is a nonlinear function because the input values are increasing.
Input
(x) Output
(y)
−2 7
−5 4
−8 1
−11 −2
Answer:
The correct answer is:
It is a linear function because there is a constant rate of change in both the input and output values.
Step-by-step explanation:
Given table is:
Input (x) Output (y)
−2 7
−5 4
−8 1
−11 −2
It can clearly be observed that the values for x and y are changing with the same rate.
In case of x, -3 is added to the previous input to get the next input.
Similarly, in case of y, the next output value is obtained by subtracting 3 from the previous value.
Hence,
The correct answer is:
It is a linear function because there is a constant rate of change in both the input and output values.
Bob and Lisa went to the movies. They each bought popcorn and one drink. Lisa had a $12 gift
certificate to put toward the cost, and Bob paid the rest, which came to $13. A movie ticket costs $7
and popcorn costs $4. How much is one drink?
log x + log(x+3) = 1
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
Taking antilogs, the equation becomes ...
x(x +3) = 10
x^2 +3x +2.25 = 12.25 . . . . add (3/2)² to complete the square
(x +1.5)² = 3.5² . . . . write as squares
x = -1.5 +3.5 . . . . . . take the positive square root*
x = 2
_____
* The negative square root gives an extraneous solution (x=-5).
__
I find that using a graphing calculator with the original equation avoids extraneous solutions. Here we transform the equation to the form f(x) = 0, so the x-intercept is the value of x we seek.
A pizza shop sells pizzas that are 12 inches in diameter or larger a 12 inch cheese pizza cost eight dollars each additional inch cost $2.50 and each additional toppings cost $1.25 write an equation that represents the cost of the pizza be sure to specify what variables represent they'll be three variables
Answer:
C(x, y) = 8 + 1.25x + 2.50(y - 12)
Step-by-step explanation:
Given that:
Cost of 12 inch cheese pizza = $8
Each additional inch cost $2.50
Each additional topping cost $1.25
The cost equation :
Let x = additional topping ; y = diameter of pizza, cost of pizza = C
C(x, y) = cost of 12-inch + (cost of additional topping * number of additional topping) + (cost per additional diameter * extra diameter)
C(x, y) = 8 + 1.25x + 2.50(y - 12)
Answer: C(x, y) = 8 + 1.25x + 2.50(y - 12)
Step-by-step explanation:
Find the point of intersection by graphing each of the following lines: x+y=4
x+2y=6
Answer:
Point of intersection is (6,0)
Step-by-step explanation:
Im givin brainliest and 100 points to the first person who answers this
The equation I equals P times r t gives the amount of interest a bank account receives after a certain period. An individual invests $6,000 into an account that receives 7% interest. How much time has passed if the amount of interest is $3,360?
Answer:
8 years
Step-by-step explanation:
With Simple interest you can calculate the annual interest at 6000x.07=$420 annual interest
Take the Total Interest $3360/$420= 8 Years
101 = -4 + 5(x + 2)
please help
Answer:x=19
Step-by-step explanation:
101 = -4 + 5(x + 2)
101= -4 +5x+10
91=-4+5x
95=5x
x=19
19
Step-by-step explanation:
Distribute 5
101=-4+5x+10
Combine like terms
101=5x+6
Get x alone on one side by subtracting 6
95=5x
Simplify
19=x
Solve for q.
-0.07(q - -6) + -4.67 = -5.3
Y’all please help :)
help asap do all these show work posting more after this one
Answer:
1) (2,10) is solution of y=4x+2
2) (7,5) is not solution of 2x+y=5
3) (-3,3) is not solution of y=6-x
4) (10,-1) is solution of x+8y=2
5) (2,21) is not solution of y=6x+7
6) (6,-8) is solution of 3x-y=26
Step-by-step explanation:
1) y=4x+2 (2,10)
Put x=2 and y=10 and check if both sides are equal or not
10=4(2)+2
10=8+2
10=10
So, (2,10) is solution of y=4x+2
2) 2x+y=5 (7,5)
Put x=7 and y=5 and check if both sides are equal or not
2x+y=5
2(7)+5=5
14+5=5
19≠5
So, (7,5) is not solution of 2x+y=5
3) y=6-x (-3,3)
Put x=-3 and y=3 and check if both sides are equal or not
y=6-x
3=6-(-3)
3=6+3
3≠9
So, (-3,3) is not solution of y=6-x
4) x+8y=2 (10,-1)
Put x=10 and y=-1 and check if both sides are equal or not
x+8y=2
10+8(-1)=2
10-8=2
2=2
So, (10,-1) is solution of x+8y=2
5) y=6x+7 (2,21)
Put x=2 and y=21 and check if both sides are equal or not
y=6x+7
21=6(2)+7
21=12+7
21≠19
So, (2,21) is not solution of y=6x+7
6) 3x-y=26 (6,-8)
Put x=6 and y=-8 and check if both sides are equal or not
3x-y=26
3(6)-(-8)=26
18+8=26
26=26
(6,-8) is solution of 3x-y=26
I need help with this question! I don’t understand this mess at all.
so line ab is parrallel and so is xy it is asking you to prove that angle 8 + angle 9 = 180
so since they are parrallel 8 is equal to 12 or you could do 9 is equal to 5 then you can see that they sit on the same straight line so angle9 + angle8 = 180 degrees