The equation is (11.50 + x) * (1 + 5%) = 16.80 and the solution is $4.50
How to write and solve an equation to find the cost of the cat food?The given parameters are
Cat litter = $11.50
Cat food = x
Sales tax = 5%
Total =16.80
The equation is then represented as
(Cat litter + Cat food) * (1 + Sales tax) = Total
So, we have
(11.50 + x) * (1 + 5%) = 16.80
Divide both sides by (1 + 5%)
11.50 + x = 16
Evaluate the like terms
x = 4.50
Hence, the equation is (11.50 + x) * (1 + 5%) = 16.80 and the solution is $4.50
Read more about sales tax at:
https://brainly.com/question/9437038
#SPJ1
Convert the decimal 0.875 to a percent.
Question 1 options:
0.875%
8.75%
875%
87.5%
Answer: 87.5%
hope this helps! :)
Answer:
A
Step-by-step explanation: i just did the test
what are the answers for the table
Answer:
X-intercepts: -1 and 3
Y-intercepts: 3
Vertex: (1, 4)
Axis of Symmetry: y= -1x + 3x + 4 (I think this is right it might not be and im sorry if it isnt).
Step-by-step explanation: Hope this helps even a little bit <33
Which expression is equivalent to 8(12+30)?
A) 8 + 12 x 8 + 30
B) 8 x 12 + 8 x 30
C) 8 x 12 x 8 x 30
D) 8 x 12 + 30
Answer:
b) 8 × 12 + 8 × 30
Step-by-step explanation:
Now we have to,
→ Find the equivalent expression.
The property we use,
→ Distributive property.
The expression is,
→ 8(12 + 30)
Let's simplify the expression,
→ 8(12 + 30)
→ 8(12) + 8(30)
→ (8 × 12) + (8 × 30)
→ 96 + 240
→ 336
Hence, the option (b) is correct.
What two numbers are a distance of 7 away from 2 on the number line?
Answer: 9 and -5
Step-by-step explanation: 2+7=9 and 2-7=-5
PLEASE ANSWER ALL OF THEM:))) AND LABEL ANSWERS!!
Answer:
Step-by-step explanation:
13-b
put ixes in equations and see which is correct that b is correct.
14- c
in this question put known points in equations.
The diameter of Jupiter at its equator is approximately 1.43 x 10 to the 5th power kilometers. Write this number in standard notation. An astronomer's infrared telescope is able to detect radiation with a wavelength of 0.000439 meters. Write this number in scientific notation.
The number in standard notation is 143,000.
The number in scientific notation is 4.39 x 10^-4
What is scientific and standard notation?
Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
For example:
• The number : 1 x 10² is equivalent to 100
• The number 5 x 10³ is equivalent to 500
When changing a number that is less than 1 to scientific notation, there would be a negative sign before the power.
0.000439 = 4.39 x 10^-4
In order to convert a number from scientific notation to standard notation, multiply the number by its power.
1.43 x 10^5
= 1.43 x 100,000 = 143,000
To learn more about scientific notation, please check: https://brainly.com/question/25334755
#SPJ1
Evaluate 2^3x-1 for x = 1.
Answer:4
Step-by-step explanation:
2 to the power of 3x-1 when x=1
Replace x with 1 for 3(1)-1=2
2 to the power of 2 is 2*2 which equals 4
Alternatively if the question means 2 to the power of 3x minus 1
Replace x with 1 for 3(1)=3
2 to the power of 3 is 2*2*2 which equals 8
8-1=7
An account is opened with an initial deposit of $1100 and earns 3.7% interest compounded monthly.
What will the account be worth in 15 years?
Round your answer to the nearest cent.
In 15 years, the account will be worth $1896 if the 3.7% interest is compounded monthly on initial deposit of $1100.
What is compound interest?It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Given Data
A = [tex]P(1+\frac{r}{100} )^{t}[/tex]
P=$1100
r =3.7%
t = 15years
Substitute the values in formula, A = [tex]P(1+\frac{r}{100} )^{t}[/tex]
A= 1100(1+{3.7/100})¹⁵
A = 1100(1+0.037)¹⁵
A = 1100(1.037)¹⁵
A= 1100(1.724)
A= 1896.4
Round off to nearest cent - $1896
Hence, $1896 will the account be worth in 15 years
To learn more about compound interest visit:
https://brainly.com/question/14295570
#SPJ9
2. What answer represents this number in scientific notation? (
0.00000916
0916 x 10-8
09.16 x 10-6
0916 x 108
09.16 x 106
HELP PLS HURRY
Answer:
9.16 × 10-6
Step-by-step explanation:
Which step is not necessary when solving this system of equations by graphing?
3x-y-4
X+y=-4
O
Identify the point of intersection
O Choose a method to graph the equations.
O Determine the shaded area for each line.
O Write the solution as an ordered pair
Step (B) determining the shaded area for each line is not required when graphing this system of equations.
What do we mean by equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.When solving this system of equations by graphing, it is not necessary to determine the shaded area for each line.As it is given in the description itself, when solving this system of equations by graphing, it is not necessary to determine the shaded area for each line.
Therefore, step (B) determining the shaded area for each line is not necessary when solving this system of equations by graphing
Know more about equations here:
https://brainly.com/question/2972832
#SPJ9
The correct question is given below:
Which step is not necessary when solving this system of equations by graphing?
3x-y-4
X+y=-4
O
Identify the point of intersection
(A) Choose a method to graph the equations.
(B) Determine the shaded area for each line.
(C) Write the solution as an ordered pair
Round to the nearest whole number, if necessary.
16.5 is 30% of 55
1650/55 = 30
Prove that math is an art and not science.
Your friend tells you he is going to start investing and would like to earn a 10% return. He says stocks make him nervous, so he will only be investing 10% in stocks and the remaining 90% will be invested in bonds. What would you say to him?
If you invest a 100% in stocks however, you stand to make an average of 9.2% but a chance of a worst return of -40.40%.
In the given statement is:
Your friend tells you he is going to start investing and would like to earn a 10% return. He says stocks make him nervous, so he will only be investing 10% in stocks and the remaining 90% will be invested in bonds.
Based on the graph given on bond and stock returns, the average return if one invested 100% in bonds or in stocks is 5.0% and 9.2% respectively.
What happens if you invest 100% in either stocks or bonds?
The graph shows that when you invest a 100% in bonds, the average return you stand to make it 5.0% while the worst return is -2.1%.
If you invest a 100% in stocks however, you stand to make an average of 9.2% but a chance of a worst return of -40.40%.
Learn more about Average at:
https://brainly.com/question/27809791
#SPJ1
On the basis of past experience, a contractor expects to find 4.5% Broken Brickson every truckload. If he orders 2000 and Briggs will he have enough to complete a job require a 1900 bricks?
Yes, Briggs will have enough to complete a job requiring 1900 bricks. Since he has 1910 bricks remaining and he needs only 1900 bricks to complete the work.
Given that On the basis of past experience, a contractor expects to find 4.5% Broken Brickson every truckload.
He orders 2000.
We need to see whether Briggs will have enough to complete a job requiring 1900 bricks.
How to find a percentage of a number?Example:
- 20% of M
= 20/100 x M
= 1/5 x M
- 25% of M
= 25/100 x M
= 1/4 x M
Find 4.5% of 2000.
= 4.5% x 2000
= 4.5 / 100 x 2000
= 4.5 x 20
= 45 x 2
= 90
The remaining bricks are:
= 2000 - 90
= 1910
We see that Briggs will have enough to complete a job requiring 1900 bricks.
1910 > 1900.
Thus, Briggs will have enough to complete a job requiring 1900 bricks.
Since he has 1910 bricks remaining and he needs only 1900 bricks to complete the work.
Learn more about percentages here:
https://brainly.com/question/16797504
#SPJ1
Jenny is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes. 78, 80, 86, 82, 78, 67, 81. Find the range of the data set.
Answer:19
Step-by-step explanation:
The range of a data set in statistics is the difference between the largest and the smallest values.
86-67=19
A passenger train's distance traveled is monitored over time. The results are displayed in this table.
Time (h)
2
3
4
5
Distance traveled (mi)
60
120
180
240
300
What is the constant of proportionality of this proportional relationship?
Enter your answer in the box.
Answer:
Step-by-step explanation:
60
>Read and solve each problem.
1 Two machines in a car parts factory mold different parts that will eventually be put
together in an assembly plant. The first machine makes a part every 12 seconds, and
the second machine makes a part every 45 seconds. The quality control engineer
tests these parts each time they both come out of the machines at the same time.
How often does she test the parts? Show your work and express your answer
in minutes.
Using the least common factor, it is found that she tests the parts once every 3 minutes.
How to find the time it takes for periodic events to repeat at the same time?To find the time that passes between the events happening at the same time, we need to find the least common multiple of the periods.
For this problem, the periods are of 12 seconds and 45 seconds. The least common factor is found factoring both terms by prime factors, as follows:
12 - 45|2
6 - 45|2
3 - 45|3
1 - 15|3
1 - 5|5
1
Hence:
lcf(12, 45) = 2² x 3² x 5 = 180 seconds = 3 minutes.
She tests the parts once every 3 minutes.
More can be learned about the least common factor at brainly.com/question/16314496
#SPJ1
cual es el resultado de y=−2x+5
Answer:3
Step-by-ste
la respuesta es 3 porque si sumas -2x a 5 pues -2 es. un numero negativo y 5 es positivo restas 5-2 y obtienes 3
A piece of wood is 7 1/4 feet long. How many 2-foot long pieces can Sue cut from the wood?
A. 1
B. 2
C. 3
D. 4
Answer:
7.25 feet/2 feet = 3.625 pieces so you can have 3 pieces of 2 feet each and 1 piece left over that is less than 2 feet.
Let L be the line that passes through the points with coordinates (1,1) and (-1,3).
(a) Determine the equation (in the form y = mx + b) of the line L.
(b) Determine the equation of the line K that passes through the (0, -1) and is perpen-
dicular to the line L.
(c) Find the coordinates of the point at which the lines and K intersect.
(a). The equation of the line L in the form of y = mx + b is y + 2x = 0.
(b). The equation of the line K that passes through the point (0, -1) and is perpendicular to the line L is y = 2x - 1.
(c). The intersection of the lines and K is located at a location with the coordinates (0,-1).
Define equation of line.The equation of a line has the usual form axe + by + c = 0. Here, x and y are the variables, a and b are the coefficients, and c is the constant term. You may also find and see the equation of a line in the slope-intercept form, point-slope form, two-point form, intercept form, and normal form.
The formula of slope is given by m = (y₂-y₁)/(x₂-x₁).
Here, m is the slope of the line.
(x₁, y₁) and (x₂, y₂) are the two points of the line.
Now put the value of x₁, y₁, x₂, y₂ in
m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
m = [tex]\frac{3-1}{-1-1}[/tex]
m = 2/-1
m = -2
The slope of the line perpendicular is:
mₐ = - 1/m
mₐ = -1/-2
mₐ = 2
(a) The equation (in the form y = mx + b) of the line L.
(y-y₁) = m(x-x₁)
(y-1) = -2(x-1)
y-1 = -2x-1
y = -2x
y + 2x = 0
(b) The equation of the line K that passes through the (0, -1) and is perpendicular to the line L.
x = 0 and y = -1
y = mx + b
y = 2x + b
-1 = 2×0 + b
-1 = b
b = -1
Substituting the above in y = mx + b to get:
y = mx + b
y =2x + (-1)
y = 2x - 1
(c) The coordinates of the point at which the lines and K intersect.
y = 2x - 1
y+2x+1=0
(2x-1)+2x+1=0
4x =0
x = 0, y = -1
The intersection of the lines and K is located at a location with the coordinates (0,-1).
To know more about coordinate geometry, visit:
https://brainly.com/question/18269861
#SPJ9
Straight-line depreciation is used for the 10 boats purchased on April 2 for $60,000. The useful life for these assets is five years and there is no salvage value. A full month’s depreciation was taken in April on these boats. Straight-line depreciation is also used for the two boats purchased in May. Make one adjusting entry for all depreciation on the boats.
Step-by-step explanation:
taken in April on these boats. Straight-line depreciation is also used for the two boats purchased in May. Make one
Select the correct answer. Find the inverse of function f. 1/2x+7
Answer: y=2x-14
Step-by-step explanation:
Solve for x
x/2+7 = y
x/2+7-7=y-7
x/2=y-7
2x/2=2(y-7)
x=2y-14
y=2x-14 ==> switch the x and y variables
532÷46
Also give remainder
Answer:
11 with a remainder of 26
Step-by-step explanation:
HELP ASAPP PLEASE AND THANK YOU I WILL MARK YOU BRAINLIEST!!!
Answer:
The slope is 1/2
(0,1)
I hope this helped you!
m
Solve for m
A-59
B-49
C-62
D-69
sorry for the blurry photo
Answer:
c
Step-by-step explanation:
131-69= 62
What is 5 1/3 PERCENT as a fraction in simplest form?
In simplest form, I believe it would be 4/75.
Step by step how do I
Estimate. Then record the product. 608 x 6=
Answer:
Estimated answer = 3,000
Product/Answer = 3,648
Hope this helps :)
Explanation below.
Step-by-step explanation:
1. To estimate, firat round the two numbers, 608 and 6.
When rounding if the numbers are 1,2,3,4 round down and if the numbers are 5,6,7,8,9 round up. But in this case we are just estimating an answer so we can just round 6 to 5 and 608 to 600. However, if the directions say to round to a specific place value, then follow the directions.
608 rounded to 600
6 rounded to 5
2. Multiply.
600 × 5 = 3,000
3. Solve with exact given numbers.
608 × 6 = 3,648
What are the vertices of this ellipse?
The vertices of the given ellipse are (-9, 2) and (-1, 2). Therefore, option D is the correct answer.
We need to find the vertices of the given ellipse.
What is the vertex of the ellipse?The major axis of the ellipse cuts the ellipse into two distinct points called the vertices of the ellipse. The line perpendicular to the major axis of the ellipse is the minor axis, and it cuts the ellipse at two distinct points called the covertices of the ellipse. The midpoint of the vertices of the ellipse, or the covertices of an ellipse is the centre of the ellipse. The endpoints of the major axis are the vertices, and the endpoints of the minor axis are the covertices.
Equation of the ellipse = x²/a² + y²/b² = 1
Vertices of Ellipse: (a, 0), (-a, 0)
As we know, the endpoints of the major axis are the vertices.
From the given figure we can see that axis of the ellipse passes through the points (-1, 2) and (-9, 2).
The vertices of the given ellipse are (-9, 2) and (-1, 2). Therefore, option D is the correct answer.
To learn more about the vertices of the ellipse visit:
https://brainly.com/question/22807822.
#SPJ1
What is the period of y = sin(3x)?
Answer:
The new period is 23π
Answer:
2pi/3
Edge 2023
Please help!!!!
The equation for the line parallel to the graph of y = 6x + -2 with the same y- intercept as the graph of y = 36x + 2 is written as y = mx + b. Determine the values of m and b. What is the value of m + b?
The values of m and b are 6 and 2 respectively and the value of m + b is 8.
The slope intercept of the straight line is used to find the equation of the straight line. The slope intercept formula requires knowing the slope of the line and the point of intersection of the line with the y-axis. Consider a line with slope "m" and y-intercept "b". The slope-intercept shape formula for a straight line with slopes 'm' and 'b' as y-intercept is given as y = mx + b.It is given that the equation y = mx + b ....(1) for the line parallel to the graph of y = 6x + -2 ...(2) means that slope of the equation y = mx + b which is parallel to the graph y = 6x + -2 is same i. e on comparing equation (1) and (2) , we get m = 6
On the other hand , the equation y = mx + b has the same y- intercept as the graph of y = 36x + 2 .....(3)
On comparing equation (1) and (3) , we get b = 2
Therefore , m + b = 6 + 2
= 8
Learn more about slope intercept form here :
https://brainly.com/question/1884491
#SPJ9
