Answer: 1:0.75
Step-by-step explanation:
Ratio 4 to 3 = 4:3
Simplified Ratio 4.00:3.00
Ratio in Form 1:n 1:0.75
Ratio in Form n:1 1.33:1
The circle has a diameter of 9 inches what is the circumference rounded to the nearest whole number
Answer:
28
Step-by-step explanation:
Circumference = 2*pi*r
r = 1/2*diameter = 4.5
pi = 3.14
Circumference = 2*(3.14)*(4.5) = 28.26 = 28
solve for x !
[tex]x {}^{2} + 5x + 6 = 0[/tex]
ty! ~
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve for x ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 5x + 6 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 3x + 2x + 6 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{}( x+ 3) + 2(x + 3)= 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {}^{}( x+ 2)(x + 3)= 0[/tex]
[tex] \begin{cases} \sf \: x = - 2 \: \: \: \: \: \: \: \sf if \: (x + 2) = 0 \\ \\ \sf \: x = - 3 \: \: \: \: \: \: \: if \: (x + 3) = 0\end{cases} [/tex]
I hope that helps ~
Question 9 (5 points)
Which is the equation of the line for the points in the given table?
X
-4 2 6
y
13 -5 -17
On y= -2x-1
OB) y = -2x+5
OC) y = -2x - 5
OD) y=-3x + 1
to get the equation of any straight line, we simply need two points off of it, let's use those two points from the table in the picture below.
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-17}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-17}-\stackrel{y1}{13}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-4)}}} \implies \cfrac{-30}{6 +4} \implies \cfrac{ -30 }{ 10 }\implies -3[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{-3}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-13=-3(x+4)\implies y-13=-3x-12\implies y=-3x+1[/tex]
Which number produces a rational number when multiplied by
O A. 10
( в. я
O C. 144
11
OD. 2.64575131..
The number that will produce a rational number when multiplied by 1/5 is A. 10.
What is a rational number?A rational number is one that can be written in the form of a fraction where the denominator isn't 0. This number is an integer and does not repeat infinitely.
When 1/5 is multiplied by 10 we get:
= 1/5 x 10
= 2
2 is a rational number so option A is correct.
The full question is:
Which number produces a rational number when multiplied by 1/5?
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An elevator can hold a maximum of 1500 pounds. An average child weighs 75 pounds and the average adult weighs 150 pounds. The elevator also can’t fit more than 14 people. How many children and adults can fit in the elevator and stay under the weight limit. Write the inequalities that represent the word problem, and then graph it on DESMOS. What is a solution that represents the amount of children and adults and their combined weight?
Let's take this problem step-by-step:
Let's first set up some variables:
c: # of childrena: # of adultsLet's examine the information given:
Elevator can hold a maximum of 1500 pounds⇒ average child is 75 pounds
⇒ average adult is 150 pounds
⇒ therefore: [tex]75c + 150a\leq 1500[/tex]
Elevator can fit no more than 14 people⇒ therefore: [tex]c + a \leq 14[/tex]
Let's graph the equations:
[tex]75c+150a\leq 1500\\c+a\leq 14[/tex]
⇒ look at the image attached
The point at which the two graphs intersect:
⇒ is the solution that represents the amount of children and adults and
their combine weight
With the horizontal axis being the # of children and vertical axis being the # of adults:
⇒ the solution is 8 children and 6 adults
Answer: 8 children and 6 adults
Hope that helped!
15 Which point is a solution to the system below?
2y < -12x + 4
y <- 6x +4.
A (1,1)
B (0,6)
C (-1/2,5)
D (-3,2)
The attached graph shows that the system of equation has no solution since there is no point of intersection
Solution to system of equationsInequalities are expressions not separated by an equal sign
Given the following inequalities
2y < -12x + 4
y <- 6x +4
_________________
2y < -6x + 4
y <- 6x +4.
Find the y-intercept. When x = 0
y < -6(0) + 4
y < 4
Plot the graphs and determine the point of intersection
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Brandon is analyzing the profits from two of his restaurant locations. the first location showed a profit of $3,000 in the first week of the year but has a showed a steady decrease in profits of 1.5% each week since then. his second location showed a profit of $1,500 in the first week of the year and has showed a steady increase in profits of 1.2% each week since then. which system of equations can brandon use to determine the number of weeks, x, until the profits, y, from the two locations are the same? a. b. c. d.
The system of exponential functions that can be used to determine the time for the profits to be the same is given by:
[tex]3000(0.985)^x = 1500(1.012)^x[/tex]
What is an exponential function?An exponential function is modeled by:
[tex]A(t) = A(0)(1 \pm r)^t[/tex]
In which:
A(0) is the initial value.r is the rate of change, as a decimal.For the first restaurant, we have that the parameters are given as follows:
A(0) = 3000, r = -0.015.
Hence the profit after x weeks is given by:
[tex]y_1(x) = 3000(0.985)^x[/tex]
For the second restaurant, we have that:
A(0) = 1500, r = 0.012.
Hence:
[tex]y_2(x) = 1500(1.012)^x[/tex]
Then they will be equal when:
[tex]y_1(x) = y_2(x)[/tex]
[tex]3000(0.985)^x = 1500(1.012)^x[/tex]
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Answer:
Answer:
y=3,000(0.985)^x
y=1,500(1.012)^x
Step-by-step explanation:
plato 2022
Suppose that the functions g and h are defined for all real numbers x as follows.
g(x) = 5x
h(x) = 4x-3
Write the expressions for (h+g)(x) and (h-g)(x) and evaluate (h-g) (4).
PLEASE HELP
The expressions for (h+g)(x) and (h-g)(x) and evaluate (h-g) (4) is 9x-3 , x+3 and 7
What is a Function ?A function is defined as the law that build relation between a dependent variable and an independent variable.
It is given that
functions g and h are defined for all real numbers x as follows.
g(x) = 5x
h(x) = 4x-3
the expressions for (h+g)(x)= ?
(h+g)(x)= 5x+4x-3
(h+g)(x)= 9x-3
and (h-g)(x) = ?
(h-g)(x) = 5x - 4x +3
(h-g)(x) = x+3
and evaluate (h-g) (4).
(h-g)(x) = x+3
at x = 4
(h-g)(4) = 4+3 = 7
Therefore the value for the functions have been determined.
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Chandler was a caretaker at the state zoo. He noticed that the number of animals adopted by the zoo increased at a constant rate every year since 2010.
Which of the following graphs shows the slowest rate at which the animals in the zoo were adopted?
A.
B.
C.
D.
Francesca is growing 1/2 inch each year. How many years will it take for her to grow 6 inches?
Answer:
12 years
Step-by-step explanation:
1 inch = two years
6x2=12
What is the slope and the y intercept of the line on the graph below?
The slope and the y intercept of the line on the graph is -1/4 and 1.
What is a Straight Line Function ?A straight line function is what can be written in the form of
y =mx +c
where m is the slope and c is the intercept on y axis.
The intercept on the y axis , c = 1
at x = 4 , y=0
and at x = 0, y =1
The slope can be calculated as
y = mx+1
0 = 4m +1
m = -1/4
Therefore the slope and the y intercept of the line on the graph is -1/4 and 1.
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Here is the graph of a quadratic function f.
Answer:
B) x² - 8x + 12
E) (x -4)² - 4
F) (x - 2)(x - 6)
Explanation:
As the graph opens upwards. The value of x² will be positive.
The x intercepts are (2, 0), (6, 0) determining (x -2)(x-6)
The (x - 4)² - 4 determines the vertex of x = 4, y = -4
When simplified:
⇒ (x -2)(x-6)
⇒ x² - 2x -6x + 12
⇒ x² - 8x + 12
In the coordinate plane below, the xxx-axis represents the number of hours before or after noon. For example, -1−1minus, 1 would represent 11 \text{ a.m.}11 a.m.11, start text, space, a, point, m, point, end text The yyy-axis represents the temperature in degrees Celsius. The points (-1, 6)(−1,6)left parenthesis, minus, 1, comma, 6, right parenthesis and (7,6)(7,6)left parenthesis, 7, comma, 6, right parenthesis represent two temperatures at different times of the day.
The points mean that the temperature at 11 am and 7 pm is 6 degree Celsius
How to represent the points on the coordinate plane?The given parameters are:
x represent the number of hours before/after noony represents the temperatureThe points are given as:
(x, y) = (-1,6) and (7,6)
-1 represents 11 am and 7 represents 7 pm.
The points mean that:
The temperature at 11 am and 7 pm is 6 degree Celsius
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PLEASE HELP ITS WORTH 20 points and ILL LIKE
Answer:
es kunno.............................
Find the quotient of 1 4/5 and 1 1/5
Give your answer as a fraction in its simplest form
Answer: 1 1/2
Step-by-step explanation:
1 4/5 = 9/5
1 1/5 = 6/5
[tex]\frac{9}{5} / \frac{6}{5}\\ \\\frac{9}{5} * \frac{5}{6}\\ \\\frac{45}{30} \\ \\1\frac{1}{2}[/tex]
An item costs $490 before tax, and the sales tax is $44.10.
Answer:
The item has a 9% sales tax.
Step-by-step explanation:
Given the following question:
We are given an item that costs 490 dollars before tax, the sales tax of the item is $44.10, which means the item will cost $534.10 in total. Assuming what you are asking is to find the percentage of the sales tax we will use the formula to calculate percentages, and then add that answer to our before cost to confirm our answer.
Formula to calculate percentages:
[tex]\frac{p\times n}{100}[/tex]
[tex]p=9[/tex]
[tex]\frac{9\times490}{100}[/tex]
[tex]9\times490=4410[/tex]
[tex]4410\div100=44.1=44.10[/tex]
[tex]490+44.10=534.10[/tex]
[tex]=534.10[/tex]
Our sales tax percentage is 9%.
Hope this helps.
solve for x. x^2+12x<-11
x²+12x<-11
x²+12x+11<0
x²+12x+11=0
(x+11)(x+1)=0
x+11=0 x+1=0
x= -11 x= -1
Solution: ] -11 , -1 [
Plot the value(s) on the number line where this function is equal to zero: f(x)= (x+5)(x-1).
Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data on a table. Determine how many dots are above each data value in a line plot of this data.
Weights of Potatoes (in pounds)
1
4
3
8
5
8
1
2
5
8
1
2
1
2
3
4
1
4
1
8
3
4
1
2
3
8
1
2
3
4
3
8
The value
1
8
will have
Choose...
dots above it.
The value
1
4
will have
Choose...
dots above it.
The value
3
8
will have
Choose...
dots above it.
The value
1
2
will have
Choose...
dots above it.
Using a dot plot, it is found that the number of dots of each point are given as follows:
The value [tex]\frac{1}{8}[/tex] will have one dot above it.The value [tex]\frac{1}{4}[/tex] will have two dots above it.The value [tex]\frac{3}{8}[/tex] will have three dots above it.The value [tex]\frac{1}{2}[/tex] will have five dots above it.The value [tex]\frac{5}{8}[/tex] will have two dots above it.The value [tex]\frac{3}{4}[/tex] will have three dots above it.What does a dot plot shows?The dot plot shows the number of times each measure appears in the data-set.
In this problem, one measure has a value of 1/8, hence:
The value [tex]\frac{1}{8}[/tex] will have one dot above it.
Two measures have a value of 1/4, hence:
The value [tex]\frac{1}{4}[/tex] will have two dots above it.
Three measures have a value of 3/8, hence:
The value [tex]\frac{3}{8}[/tex] will have three dots above it.
Five measures have a value of 1/2, hence:
The value [tex]\frac{1}{2}[/tex] will have five dots above it.
Two measures have a value of 5/8, hence:
The value [tex]\frac{5}{8}[/tex] will have two dots above it.
Three measures have a value of 3/4, hence:
The value [tex]\frac{3}{4}[/tex] will have three dots above it.
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Answer:
1 2 3 5 2 3
Step-by-step explanation:
(a) Charlie bought 10 pounds of sugar for $6.
How many dollars did he pay per pound of sugar?
dollars per pound
Answer:
$0.60 per pound
Step-by-step explanation:
Dollars per pound :
No. of dollars / No. of pounds$6 / 10 pounds$0.60 per poundI need help with my math it’s in the image
Answer:
3.5x10^4 is 50 times larger than 7x10^2
Step-by-step explanation:
3.5x10^4 is 35,000 (move decimal 4 places to the right)
7x10^2 is 700 (7.0 move decimal 2 places to the right)
700x50=35,000 which shows that 35,000 is 50 times larger than 700
Maria's car has a gas mileage of 31 miles per gallon. How many miles can Maria travel on 9 gallons of gas?
Answer:
279 miles
Step-by-step explanation:
31 miles/gal * 9 gallons = 279 miles
What is the midpoint of the vertical line segment graphed below?
y
-5
5
(1,4)
-5-(1,-5)
5
Answer:
see the attachment photo!
Answer:
C. (1, -1/2)
Step-by-step explanation:
The midpoint of a line segment has coordinates that are the average of the end point coordinates.
__
M = (A +B)/2 . . . . . . midpoint of segment between A(1, 4) and B(1, -5)
M = ((1, 4) +(1, -5))/2 = (1 +1, 4 -5)/2 = (2, -1)/2
M = (1, -1/2)
The midpoint of the vertical line segment is (1, -1/2).
_____
Additional comment
The midpoint will always be on the line segment. Since this line segment is vertical with x = 1, the x-coordinate of the midpoint must be 1.
what is the approximate solution of this system of equaltion y=x^2+3x+3 , y=x^2+x+2
Answer:
(B
The given system of equations are:
y=x^2+3x+3y=x
2
+3x+3 (1)
and y=x^2+x+2y=x
2
+x+2 (2)
Subtracting equation (2) from (1), we get
0=2x+10=2x+1
⇒2x=-12x=−1
⇒x={\frac{-1}{2}}x=
2
−1
⇒x=-0.5x=−0.5
Now, substituting the value of x=-0.5 in equation (2), we get
y=0.25-0.5+2y=0.25−0.5+2
⇒y=1.7y=1.7
Thus, the values of x and y are -0.5 and 1.7.
Therefore, the approximate solution of the given system of the equation is (-0.5, 1.7).
Hence, option (B) is correct.
There are 1,486 souvenir paperweights that need to be packed in boxes. Each box will hold 16 paperweights. How many boxes will be needed?
Answer: 93 boxes will be needed
Step-by-step explanation:
If each box holds 16 paperweights, and 1,486 need to be packaged, we will divide 1,486 by 16.
1,486 / 16 = 92.875
We will assume you cannot have 0.875 of a box, so we will round up to:
93 boxes will be needed
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vFind the mean and median of the data set. 3, 5, 6, 2, 10, 9, 7, 5, 11, 6, 4, 2, 5, 4
Step-by-step explanation:
2, 2, 3, 4, 5, 5, 5, 6, 6, 7, 9, 10
_
2+2+3+4+5+5+5+6+6+7+9+10 = 64 ÷ 12 = 5.3
_
Mean: 5.3
Median: 5
Simplify the expression given below.
(17^14)^20
A. 289^34
B. 289^280
C. 17^280
D. 17^34
Answer: Heyaa! ^^
When you simplify (17^14)^20 Your Answer is
C. 17^280Step-by-step explanation:
Multiply the exponents in (17^14)^20And Simplify!!Hopefully this helps you!
what is the surface area of this design? 6in, 4in, 4in, 6in, 10in
Answer:
392
Step-by-step explanation:
hope this helps!!
Are the equations -3(2x+9)=12 and 2x+9=-4 equivalent?
A puppy weighs
10 pounds and is
gaining 1 pound
each week.