Writing as a word sentence, the inequality is:
[tex]6x \leq 47[/tex]
6 times a number x is 6 multiplied by x, that is: [tex]6x[/tex].At most 47 means that it is less than, or equals, to 47, hence:[tex]6x \leq 47[/tex]
Hence, the desired inequality, from the given word sentence, is:
[tex]6x \leq 47[/tex]
A similar problem, in which a word sentence is written as an inequality, is given at https://brainly.com/question/11713066
Which of the following expressions is equivalent to 25÷78?
A
25×78
B
52×78
C
52×87
D
25×87
Answer:
c because there's no answer to the other equation and I already use math for it and it's the answer
Seven less than twice a
number is negative five.
What is the number?
Answer:
n = 1
Step-by-step explanation:
Represent the number by n. Then "seven less than twice a number is -5 becomes 2n - 7 = -5
Next we must solve for n. Adding 7 to both sides yields 2n = 2, so that
n = 1
what is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2
The value of [tex]c[/tex] such that the line [tex]y = 2\cdot x + 3[/tex] is tangent to the parabola [tex]y = c\cdot x^{2}[/tex] is [tex]-\frac{1}{3}[/tex].
If [tex]y = 2\cdot x + 3[/tex] is a line tangent to the parabola [tex]y = c\cdot x^{2}[/tex], then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:
[tex]2\cdot c \cdot x = 2[/tex] (1)
Then, we have the following system of equations:
[tex]y = 2\cdot x + 3[/tex] (1)
[tex]y = c\cdot x^{2}[/tex] (2)
[tex]c\cdot x = 1[/tex] (3)
Whose solution is shown below:
By (3):
[tex]c =\frac{1}{x}[/tex]
(3) in (2):
[tex]y = x[/tex] (4)
(4) in (1):
[tex]y = -3[/tex]
[tex]x = -3[/tex]
[tex]c = -\frac{1}{3}[/tex]
The value of [tex]c[/tex] such that the line [tex]y = 2\cdot x + 3[/tex] is tangent to the parabola [tex]y = c\cdot x^{2}[/tex] is [tex]-\frac{1}{3}[/tex].
We kindly invite to check this question on tangent lines: https://brainly.com/question/13424370
how to multiply mixed fractions with whole numbers
Answer:
Step-by-step explanation:
Example: (1 2/3) (2 3/5)
Turn to improper fractions
1 2/3= 5/3 2 3/5= 13/5
5/3 x 13/5=?
5x13= 65
3x5= 15
Simplify/divide: 65/15 = 4 1/3
Another example. (2 5/6)(3)
Improper fraction: 2 5/6= 17/6
Turn Whole number to fraction: 3= 3/1
17/6 x 3/1
17x3= 51
6x1= 6
51/6
Simplify/divide: 8 1/2
4x+5>x+3+3x
Solve for x
Answer:
Maybe 16
Step-by-step explanation:
Can anyone help me about question 2
9514 1404 393
Answer:
3(4/3)^2543
Step-by-step explanation:
Using logarithms base 2, we have ...
[tex](a_n)^{\log{a_n}}=(a_{n+1})^{\log{a_{n-1}}}\\\\(\log{a_n})(\log{a_n}) = (\log{a_{n-1}})(\log{a_{n+1}}) \\\\ \dfrac{\log{a_{n+1}}}{\log{a_{n}}}=\dfrac{\log{a_n}}{\log{a_{n-1}}}=\dots\dfrac{\log_2{16}}{\log_2{8}}=\dfrac{4}{3}[/tex]
That is, the ratio of each term to the previous is a constant equal to 4/3. This is the definition of a geometric sequence. This sequence has first term 3 and common ratio 4/3, so the general term is ...
[tex]\log_2 a_n=3\left(\dfrac{4}{3}\right)^{n-1}[/tex]
and the 2544th term is ...
[tex]\boxed{\log_2{a_{2544}}=3\left(\dfrac{4}{3}\right)^{2543}}[/tex]
Pleas Help!!! I keep getting scammed!!!
Evaluate the expression for the given values of the variables.
(n + 5)2 for n = −7
When n = −7, the expression is equal to...
-4
Step-by-step explanation:
(n + 5)2 for n = -7
= (-7 + 5)2
= (-2)2
= -4
Another way :
(n + 5)2
= 2n + 10
= 2(-7) + 10
= -14 + 10
= -4
2. While NEEDS and WANTS can vary greatly depending on the individual and their situation, which of these items
would most people agree to be a NEED?
a. Three weeks of vacation for a corporate executive so they can unwind from work
b. Stylish clothes for a teenager so that they fit in with popular kids at school
C. Safe, reliable childcare for a single parent so they can go to work
C. Safe, reliable childcare for a single parent so they can go to work
an animal sanctuary currently has 125 elk in it. the elk are expected to increase by 20% each yea. How many elk will there be in 3 years
Answer for brainily fast
Hello there!
This triangle is equilateral. Therefore, all the sides are equal.
We are given one of them. It is 12 units.
Therefore, all the other sides are 12 units long.
So a=12
Hope this helps you! :)
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
factorise B square minus 25
Answer: (b+5)(b-5)
Step-by-step explanation:
both b^2 and 25 are square numbers, so square root both of them to give b and 5, then put into brackets with a + and -
find the width of radius r if the width w of the shaded region is 2cm and its area is 176cm^2, use 22/7 for pi (its a full circle)
The area of a shape is the amount of space it can occupy.
The value of r is 13
From the question (see attachment), we have:
[tex]\mathbf{A =176}[/tex] --- area of the shaded region
[tex]\mathbf{w = 2}[/tex] --- the width of the shaded region
The area of the complete circle would be:
[tex]\mathbf{A_1 =\pi (r + w)^2}[/tex]
The area of the small circle is:
[tex]\mathbf{A_2 =\pi r^2}[/tex]
So, the area of the shaded region is:
[tex]\mathbf{A = A_1 - A_2}[/tex]
Substitute known values
[tex]\mathbf{176 =\pi (r + w)^2 - \pi r^2 }[/tex]
Substitute 2 for w
[tex]\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }[/tex]
Expand
[tex]\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }[/tex]
Open brackets
[tex]\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }[/tex]
Cancel out line terms
[tex]\mathbf{176 =4\pi r + 4\pi }[/tex]
Divide through by 4
[tex]\mathbf{44 =\pi r + \pi }[/tex]
Factor out pi
[tex]\mathbf{44 =\pi(r+ 1) }[/tex]
Divide through by pi
[tex]\mathbf{r + 1= \frac{44}{ \pi} }[/tex]
Substitute 22/7 for pi
[tex]\mathbf{r + 1= \frac{44}{ 22/7} }[/tex]
Using a calculator, we have
[tex]\mathbf{r + 1= 14}[/tex]
Solve for r
[tex]\mathbf{r= 14 -1}[/tex]
[tex]\mathbf{r= 13}[/tex]
Hence, the value of r is 13
Read more about areas of circles at:
https://brainly.com/question/23328170
2x+20=12x by first subtracting 20 from each side what property allows you to do so does it help you get closer to finding a solution what is a better first step
Answer:
Step-by-step explanation:
2x+20=12x
We can subtract 2x from both sides:
2x+20-2x=12x-2x
20=10x
20/10=x
x=2
{2x + 3y = 10 -6x + y = 20 si se resuelve por el metodo de igualación ¿ cual es la igualdad que resulta si se despeja la variable y de ambas ecuaciones?
Answer:
Step-by-step explanation:
So im gonna be using the substitution method because its easier
We divide the equations into two and solve for y
-6x+y=20
We add 6x to both sides
-6x+y+6x=20+6x
y=6x+20
Now we plug in 6x+20 for y into the other equation
2x+3y=10
2x+3(6x+20)=10 We can simplify now
20x+60=10
20x=-50
take 20 from both sides so its gonna be a fraction
-5/2
We plug in -5/2 for x
y=6(-5/2)+20
y=5
]so therefore x is -5/2 and y is 5
珠ɪᴢᴜᴍɪᴿᴬᴳᴱ
The equality of the expression after removing y by substituting y is 2x + 21 = 10 - 6x + 7 = 20.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
Given the expression,
2x + 3y = 10 -6x + y = 20
So,
2x + 3y = 20 and 10 - 6x + y = 20
To remove y we need to find y and substitute.
So by substituting,
10 - 6(20 - 3y)/2 + y = 20
y = 7
So,
2x + 21 = 10 - 6x + 7 = 20
Hence "The equality of the expression after removing y by substituting y is 2x + 21 = 10 - 6x + 7 = 20".
For more about the equation,
brainly.com/question/10413253
#SPJ2
The given question is in the Spanish language in English it is ;
{2x + 3y = 10 -6x + y = 20 if it is solved by the equalization method, what is the equality that results if the variable y is cleared from both equations?
Simplify to create an equivalent expression.
(3n+6)⋅3+(2n+2)⋅4
Please help as soon as possible. Thanks! =D
Answer:
i don"t know ask your mom
Answer:
[tex](9n + 18) + (8n + 8) \\ = (9n + 8n) + (18 + 8) \\ = 17n + 26[/tex]
What is the approximate value of 2–√, to the nearest whole number?
[tex]2 - \sqrt{1} \\ = 2 - 1 \\ = 1[/tex]
What are the correct solutions to the quadratic
equation y2 – 13y + 40 = 0?
y = -5
or
y = -8
Answer above!
Can someone help me out???
How could you use the hexagon you constructed to create a 12-sided figure?
Answer:
to create this figure, connect the three sets of opiate points of the hexagon. Construction angle bisectors for each new angle, creating six new intersections with the circle, for a total of 12 points. Connect the points to make a regular 12-sided polygon.
Step-by-step explanation:
The list represents the number of cars
sold and the bonus received by the
salespeople of a car dealership.
{(1, 50), (2, 50), (3, 100), (4, 150)
Answer:
What is the question
Step-by-step explanation:
Helpppppp!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A converse to a statement is switching the IF part with the THEN part.
Since the statement says IF point B bisects the line, THEN B is the midpoint.
The converse would then say
IF B is the midpoint, THEN point B bisects the line.
Kasey is buying lunch and dinner for her friends this weekend. A lunch combo cost $8.50 and a dinner combo cost $13, If Kasey has $160 to spend then write an inequality that describes the situation.
Answer:
8.50x plus 13y equals 160
16 is the least common multiple of which set of numbers?
What ratios are equivalent to 1/16
Answer:
1:6
Step-by-step explanation:
A part-to-whole ratio of 1:6 means that there is 1 of something and the total is 6. It also means that there are 5 of something else. To convert a Part-to-Whole ratio such as 1:6, you replace the colon with a fraction bar to get this answer:
1:6 → 1/6
What fraction is equivalent to 0.5 + 0.4
Answer:
9/10
Step-by-step explanation:
I used a calculator ! :)
6 adults & 4 senior citizens have to pay $228 while 13 adults and 7 senior citizens have to pay $459 to visit an exhibition at the Art science Museum . Find the total amount 2 adults & Senior citizen have to pay to visit the exhibition.
Answer: Rs. 69
Step-by-step explanation:
Let the amount that the adults have to pay be Rs. “x” and the amount that the senior citizens have to pay be Rs. “y”.
Step 1:
According to the question, we get
Equation 1:
6x + 4y = 228
Equation 2:
13x + 7y = 459
Step 2:
Then, by multiplying equation 1 by 7 & equation 2 by 4, we get
7 * [6x + 4y = 228]
⇒ 42x + 28y = 1596 …. (iii)
And,
4 * [13x + 7y = 459]
⇒ 52x + 28y = 1836 …. (iv)
Step 3:
Now, Subtracting eq. (iii) from eq. (iv), we get
52x + 28y = 1836
42x + 28y = 1596
(-) (-) (-)
---------------------------
10 x = 240
----------------------------
⇒ x = 240/10 = 24
Substituting the value of x in Eq. (1)
(6*24) + 4y = 228
⇒ y = [228 - 144]/4 = 21
Step 4:
Thus,
The total amount that 2 adults and a senior citizen have to pay to visit the exhibition is,
= 2x + y
= (2*24) + 21 ….. [substituting x= 24 & y = 21]
= Rs. 69
Step-by-step explanation:
Hope this helps
can i get braineist
Students were asked which night they plan
going to the school festival. The results of the survey
are shown in the table. If 18% of the students did not
go on Friday, and 15% of the students did not go on
Saturday, how many more students went on Friday
than on Saturday?
Pls help
Answer:3% went on Friday than on Saturday
Step-by-step explanation:
can anyone help me with this, with a full explanation ?? thank you
Step-by-step explanation:
let the 3 consecutive odd number be
x + 1 , x + 3 , x + 5
as, there sum is 45. so, after inserting the values we got,
→ x + x + 1 + x + 3 = 45
→ 3x + 9 = 45
→ 3x = 45 - 9 = 36
→ x = 36/3 = 12
→ x = 12
therefore, 3 consecutive odd number are
→ x + 1 = 12 + 1 = 13
→ x + 3 = 12 + 3 = 15
→ x + 5 = 12 + 5 = 17
hope this answer helps you dear...take care and may u have a great day ahead!
What quantities are being compared? (If there are x- and y- axes, what do they represent?)
Answer:
The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).
Aiko spends 2.5 hours baking croissants for a community center bake sale. She bakes the 90 croissants in 5 batches. Determine the number of batches Aiko baked per hour
Determine what is the independent and dependent.
Answer:
5/2.5 is 2. Airó makes 2 batches in an hour.
Step-by-step explanation:
i think..
Consider the end behavior of the function g(x)=-1/3|x|+9 and complete the statements.
As x approaches negative infinity, g(x) approaches [ Negative, Positive ] infinity.
As x approaches positive infinity, g(x) approaches [ Negative, Positive ] infinity.
Answer: thanks for this answer, I was working on this problem.
As x approaches negative infinity, g(x) approaches [ Negative] infinity.
As x approaches positive infinity, g(x) approaches [ Negative] infinity.