Translate the sentence into an inequality.
Six times the sum of a number and 20 is greater than 16.
Use the variable c for the unknown number.
Answer:
6 (20 + c) > 16
Step-by-step explanation:
the sum of the number and 20 is 20 + c. so you multiply that equation by 6 giving you 6 (20 + c)
There is a line that includes the point (4, 1) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , then
y = x + c ← is the partial equation
To find c substitute (4, 1 ) into the partial equation
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = x - 3 ← equation of line
Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths of the missing sides of figure B.
A 4 sided polygon, labeled A, with sides labeled as follows: left, 15, top, 12, right, 18, bottom, 20. A smaller, 4 sided polygon, labeled b, oriented the same way, has left side labeled: 3.
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
How to find Scale Factor?Scale factor = dimension of new figure / dimension of original figure
The polygons given are shown in the diagram attached below.
Figure A is the original figure
Figure B is the new figure.
x, y, and z has been used to mark the missing sides of figure B.
One dimension of original figure = 15
Corresponding dimension of the new figure = 3
Scale factor = new/original = 3/15
Scale factor = 1/5
To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:
x = 12 × 1/5 = 2.4
y = 18 × 1/5 = 3.6
z = 20 × 1/5 = 4
In summary:
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
Learn more about scale factor on:
https://brainly.com/question/2826496
the distance between(3,-3) and (-3,5)
Answer:
10 units
Step-by-step explanation:
use distance formula to solve for this!
distance formula is
the square root of the change in x squared + the change in y squared.
sqrt (3+3)^2 + (|-3-5|)^2
sqrt 36 + 64
sqrt 100 = 10
the distance is 10 !
Answer:
the ditstance between (3,-3) and (-3,5) is 10
Step-by-step explanation:
we know the distance in a cartesian axis is
[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} }[/tex]
so the answer is calculated 10
I need help solving this problem
Draw the plot
Can someone plz help me with this
well, let's take a peek, hmmm the length is hmmm, how much is five times "x"? well 5 * x or just 5x, how about four more than that? well, just 5x + 4.
we know the width is hmmm how much is three times "x"? 3*x or just 3x, how about 2 less than that? 3x - 2.
Check the picture below.
Answer:
↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑^
find the area of a square park whose perimeter is 400m
Answer: 1600m^2
Its a square so all sides are equal. So...
400m * 400m
= 1600m^2
which value is NOT equivalent to the others 3^4 3+3+3+3 3^2x 3^2 3x3x3x3
Answer:
3+3+3+3
Step-by-step explanation:
Hopefully I didn't get confused
3^4 vs 3+3+3+3 vs (3^2)(3^2) vs 3x3x3x3
Well the best way to do it is to do each
3^4=81
3+3+3+3=12
3^(2+2)=81
3x3x3x3=81
Therefore 3+3+3+3 is not equilvilent
A restaurant tablecloth is 98 inches across. What is the approximate circumference?
The circumference of a circle with diameter of 98 in. is about 308 in.
Step-by-step explanation:We know the diameter. Using the diameter, we can find the circumference.
=> Diameter = 98 in.=> Radius = 98/2=> Radius = 49 in.Circumference = 2πr
=> 2 x 22/7 x 49=> 2 x 22 x 7=> 308 in.Conclusion:Therefore, the circumference of a circle with diameter of 98 in. is about 308 in.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Find a polynomial with the following zeros.
HELPPPP ASAPPP
Answer:
x³ - 4x² + 2x + 4 = 0
Here's how I solved this:
You start off by rewriting the zeros into factors:
1 - √3 → x = 1 - √3 → (x - 1 - √3)
2 → x = 2 → (x - 2)
1 + √3 → x = 1 + √3 → (x - 1 + √3)
Now you want to multiply the factors together:
(x - 1 - √3) · (x - 2) · (x - 1 + √3)
- Multiply the first two factors together -
(x - 1 - √3) · (x - 2)
↓
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
- Combine like terms and simplify -
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
↓
(x² - 3x - √3 · x + 2√3 + 2)
- Now multiply the third factor -
(x² - 3x - √3 · x + 2√3 + 2)(x - 1 + √3)
↓
(x² · x + x² · √3 - x² - 3x · x - 3x · √3 + 3x - √3 · xx - √3 · x · √3 +√3 · x + 2 · √3 · x + 2 · √3 · √3 - 2 · √3 + 2x + 2 · √3 - 2)
↓
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
- Combine like terms and simplify -
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
↓
x³ - 4x² + 2x + 4
--------------------------------------------------------------------------------------------------------------
And there we get our solution: x³ - 4x² + 2x + 4
A pair of shoes are on sale for 60% off. The shoes cost $110 before the sale. How much money will you save after the sale?
answer: 60 × 100 = 600
Step-by-step explanation:
Answer:
$66
Step-by-step explanation:
Money saved after sale= 60% of $110
= 60/100 ×$110
= $66
Which of the following is the graph of y = |x - 3|
Answer:
y = | x - 3 | is graphed on the attachment below ↓
Step-by-step explanation:
If you ever need an equation graphed, here's a useful site called Desmos that can do that really well and for free.
Which, if any, of the following would not generate a sphere?
A. Rotating a circle 180° about its diameter
B. Rotating a semicircle 360° about its diameter
C. Rotating a circle 360° about any point on the circle
D. All of the above would generate a sphere
Answer:
i think D. All of the above would generate a sphere is answer
help plssssssssssssssssssssssssssssssssssssss
The solution to the following inequality:
-3(6-2g)>4g
Answer:
Solution: g > 9
Interval Notation: (9 , ∞)
Step-by-step explanation:
-3 * (6-2g) > 4g
-18 + 6g > 4g
6g - 4g > 18
2g > 18
g > 9
KisthemidpointofJL. If JK = 3x and KL = x + 8, what is JK?
Given: JK = 3x - 5, KL = 2x + 1
The sum of the segments JK and KL will equal the length of the segment JL = 16
So we can write:
3x - 5 + (2x + 1) = 16 [JK + KL = JL]
Collect terms, solve for x:
5x - 4 = 16
5x = 20
x = 4
JK = 3x - 5 = 3*4 - 5 = 12 - 5 = 7
Ans: 7
A taxi ride costs $3.50 plus $2.50 per mile driven. If Sasha has $37 in cash , what is the greatest whole number of miles she can ride in this taxi ? Happy Holiday ´ s...
Answer:13
Step-by-step explanation:
37-3.5=33.5
33.5/2.5=13.4
since it ask for the whole number, it will be 13
Use the counting techniques from the last chapter. A bag contains three red marbles, three green ones, one fluorescent pink one, two yellow ones, and four orange ones. Suzan grabs four at random. Find the probability of the indicated event.
She gets at least two red ones, given that she gets at least one green one.
Using the combination formula and the probability concept, it is found that there is a 0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.
A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, the order in which the marbles are taken is not important, hence, the combination formula is used to solve this question.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
2 red from a set of 3.1 green from set of 3.1 from a set of 1 + 2 + 1 + 2 + 4 = 10.Hence:
[tex]D = C_{3,2}C_{3,1}{C_{10,1}} = \frac{3!}{2!1!} \times \frac{3!}{1!2!} \times \frac{10!}{1!9!} = 90[/tex]
Total outcomes:
Four marbles are taken from a set of 13, hence:
[tex]T = C_{13,4} = \frac{13!}{4!9!} = 715[/tex]
Then, the probability is:
[tex]p = \frac{D}{T} = \frac{90}{715} = 0.1259[/tex]
0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.
To learn more about the use of the combination formula and the probability concept, you can check combination formula and the probability concept,
I need help on this explain
Please
Help help math I’ll give points thanks
Answer:
x=13
Step-by-step explanation:
8x-20=4x+32
start by moving the terms,
8x-4x=32+20
combine
4x=52
divide each side by 4
x=13
Help me with this plzzzzzzzzz
Answer:Hi
Step-by-step explanation:
If the mean of five values is 8.2 and four of the valuesare 6, 10, 7, and12, find the fifth value.
Answer:
6
Step-by-step explanation:
→ Do the 8.2 × 5
41
→ Minus the answer from the sum of the values
41 - ( 6 + 10 + 7 + 12 ) = 6
NEED HELP RN!!! PLS ☹️
Answer:
show the screen clearer !
Step-by-step explanation:
Please confirm my answer to be correct
Answer:
Actually, Corresponding angles are congruent.
Step-by-step explanation:
They are only supplementary in the special case where they are both 90°
Answer:
Option D
Step-by-step explanation:
Since we know that measure of corresponding angles are equal. So, corresponding angle are congruent to each other
Which of the following equations contains the point (8, 5) and is perpendicular to the line y = 2x − 3?
Answer:
[tex]y = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]
Step-by-step explanation:
Given that the reference line is y = 2x - 3, with a slope of [tex]m_{reference} \ = \ 2[/tex].
We know that two non-vertical lines are perpendicular if the slope of one line is the negative reciprocal of the slope of the other. In other words, both slopes can be multiplied together to yield -1. Let [tex]m_{1}[/tex] be the slope of one line and [tex]m_{2}[/tex] be the slope of its corresponding perpendicular line,
[tex]m_{1} \ \times \ m_{2} \ = \ -1 \ \ \ \ \ \ \ \ \ \ \ \mathrm{or} \ \ \ \ \ \ \ \ \ \ \ m_{1} \ = \ \displaystyle\frac{-1}{m_{2}}[/tex].
Thus,
[tex]m_{reference} \ \times \ m_{perpendicular} \ = \ -1 \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{m_{reference}} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{2} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ -\displaystyle\frac{1}{2}[/tex]
Therefore, using the point-slope form for the equation of a line passing through the point [tex](x_{1}, \ y_{1})[/tex] is [tex]y \ - \ y_{1} \ = \ m(x \ - \ x_{1})[/tex]. Given that the perpendicular line passes through the point [tex](8,\ 5)[/tex], the equation of the perpendicular line is
[tex]y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}(x \ - \ 8) \\ \\ y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}x \ + \ 4 \\ \\ \-\hspace{0.85cm} y \ = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]
Which of the following rational functions is graphed below
Answer:
C
Step-by-step explanation:
Ti-83 graph proves it.
-2 - 1 + 4 I need the help please
Answer:
it's 1
Step-by-step explanation:
hope this helps 1
Rebecca draws a graph of a real-world relationship that turns out to be a set of unconnected points. Can the relationship be linear? Can it be proportional? Complete the explanation of your reasoning.
Answer:
Step-by-step explanation:
The students at Vienna Elementary sold donuts every day at school for 6 months. The table below shows the earnings for the first 6 weeks. If the pattern continues, how much will the students make in week 8?
Pics here
↓
The student made $100 in week 8.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount earned from the first week to 6 weeks.
110, 100, 90, 110, 100, 90
We see that,
Every 3 weeks the amount gets repeated.
So,
7th week = 110
8th week = 100
Thus,
The amount earned in week 8 is $100.
Learn more about expressions here:
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Tara placed $1200 in a savings account which compounds interest continuously at a rate of 1.4%.
How much will she have in the account after 3 years?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Answer:
$1,251
Step-by-step explanation:
Formula: [tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Plug the values into the formula; solve:
[tex]r = \frac{r}{100}[/tex]
[tex]r = \frac{1.4}{100}[/tex]
[tex]r = 0.014[/tex]
0.014 rate per year
[tex]A = Pe^{rt}[/tex]
[tex]A = 1,200.00^{(2.71828)}^{(0.014)(3)}[/tex]
[tex]A = $1,251.47\\[/tex]
1,251.47 is 1251 rounded because the first value after the decimal point is not greater or equal to 5.
Answer:
1251
Step-by-step explanation: