Option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, is the same as 12.8.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The options are:
A: -3 - 4.9x = 12.8
B: 4.9x - (-3) = 12.8
C: 3+ 4.9x = 12.8
D: (4.9 - 3)x = 12.8
E: 12.8 = 4.9x + 3
We have a statement:
Negative 3 less than 4.9 times a number, x, is the same as 12.8.
We can write in a mathematical form:
4.9x - (-3) = 12.8
or
4.9x + 3 = 12.8
or
12.8 = 4.9x + 3
Thus, option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, is the same as 12.8.
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in a school , 4/9 of the students are boys and number of girls is 90 . find the number of boys in school
4/9 of the students are boys thus 5/9 students are girls.
Let " x " be the number of all students.
So we have :
5/9 × x = 90
Multiply both sides by 9/5
5/9 × 9/5 × x = 90 × 9/5
1 × x = 9 × 9 × 10 × 1/5
x = 81 × 2
x = 162
_______________________________
number of boys = 4/9 × x
n o boys = 4/9 × 162
n o boys = 162/9 × 4
n o boys = 18 × 4
n o boys = 72
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x=14
Step-by-step explanation:
80+58=138
180-138=42
42÷3=x
14=x
Answer:
x= 14
Step-by-step explanation:
80 + 58 = 138°
A triangle has 180°
180-138= 42°
Put into equation
42=3x
42/3=14
X=14
Insurance companies are interested in knowing the population percentage of drivers who always buckle up before riding in a car. When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.04
Answer:
The minimum number of drivers you would need to survey is 601.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
What is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.04?
The number is n for which M = 0.04.
We don't have an estimate for the proportion, so we use \(\pi = 0.5\). Then
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)
\(0.04\sqrt{n} = 1.96*0.5\)
\(\sqrt{n} = \frac{1.96*0.5}{0.04}\)
\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2\)
\(n = 600.25\)
Rounding up:
The minimum number of drivers you would need to survey is 601.
14x^2=8y^2-6xy where x>0 and y>0 find the ratio x:y
Answer:
4 : 7
Step-by-step explanation:
First, you can start by moving all the terms to one side:
14x^2 + 6xy - 8y^2 = 0
Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:
2(7x^2 + 3xy - 4y^2) = 0
In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:
2(7x^2 + 7xy - 4xy - 4y^2) = 0
Now, we can start to factor by grouping:
2( 7x[x + y] - 4y[x + y] ) = 0
And we can factor out [x + y]:
2(x + y)(7x - 4y) = 0
So, we can use the zero product property to get two equations:
x + y = 0
and
7x - 4y = 0
You get:
x = -y
and
7x = 4y
We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7
How do I solve for x 7x–1=125
Answer:
x=18
Step-by-step explanation:
You add 1 on each side so you have 7x=126. Then you divide each side by 7, so you get x=18! Hope this helps!
8) Use the slope formula to find the slope between
the points: (-1,2) and (3,- 3)
m =
Answer:
-5/4
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( -3 -2)/( 3 - -1)
= ( -3-2 ) /( 3+1)
= -5/4
Answer:
m = -5/4
Step-by-step explanation:
The slope formula is \(\frac{y_2-y_1}{x_2-x_1}\).
\(\frac{(-3)-(2)}{3-(-1)}\) \(\frac{-5}{3+1}\) \(\frac{-5}{4}\)Therefore, m = -5/4.
---
What is the range of the following numbers?
12, 20,18,25,6
A. 5
B. 16 1/5
C. 18
D. 19
E. 25
Answer:
D
Step-by-step explanation:
The range is subtracting the largest number and the smallest number.
largest number: 25
smallest number: 6
Range: 25 - 6 = 19
A Box contains 5 purple and 8 yellow marbles what is the probability of successfully drawing in order a purple marble not replacing it and then a yellow marble
Answer:
5 split by 8 is 3 purple Stones
Step-by-step explanation:
That's not Right because 8-5 is 3 but not the Correct coalition
what is 10X995
please help
Answer:
9950
Step-by-step explanation:
Answer:
9950
Step-by-step explanation:
10 * 995
9950
I hope this helps! May I please have brainliest?
For Christmas you want to get your parents a framed family picture. At the framing store, there are 4 different styles each available in 5 different colors. You decide to use a blue mat board and there are 3 different shades of blue to choose from. How many different frames can you create?
The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.
What is the combination?A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.
Given:
There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,
Calculate the total number of frames, we can create as shown below,
The number of frames = different styles available for blue color × shades of blue
The number of frames = 4 × 3
The number of frames = 12
Thus, the number of frames you can create is 12.
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this will be a easy math problem add me as a friend for more easy problems for alot of points.
what is 5x6=?
30
45
10
7
Answer:
30
Step-by-step explanation:
Multiply the factors, to get the product of 30
~theLocoCoco
Answer: 30
Step-by-step explanation:
5 times 6 is 30
What is the y-intercept of the graph of y = 2.5*?
a. 2.5
b. 1
ΟΑ
О в
О с
OD
C. 0
d. -1
OT
Ü
Please select the best answer from the choices provided
Point of y-intercept is (0,1)
What is y-intercepts?In a graph, the point where the line or curve crosses the axis is called the intercept. If a point crosses the x-axis it is x-intercepts. If a point crosses y-axis it is y-intercepts.
Given the function is \(y=2.5^{x}\)
y-intercept is the point where the graph of the function crosses the y-axis.
To find the point of y-intercept put x=0 in the given function, we get
if x=0 then \(y=2.5^{0}\) ⇒ y=1.
The function crosses at the point 1 in the y-axis.
Hence, point of y-intercept is (0,1)
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A farmer planted corn in two different fields
Answer:
and what ???................
Help ASAP!!!.
Simplify the expression:
2x + 1 + 7x
7. If it takes 2 gardeners 6 hours to landscape a garden, how long would it take 3 gardeners?
12
8. Question 7 is an example of...
Direct proportion
Inverse proportion
One acre is equivalent to 43,560 square feet. If an acre is also equivalent to 4,840 square yards, how many square feet are equal to one square yard? Add an explanation and a step by step answer.
Help please thank you so much! (Math has never really been my strongest subject)
Side Note: I'd rather not have the answer in a file thank you very much.
Answer:
9 square feet
Step-by-step explanation:
1 acre = 43,560 ft²
1 acre = 4,840 yd²
Since both values are equal to 1 acre, we can set them equal to each other via the property of equality:
43,560 ft² = 4,840 yd²
The question is asking us to find the ft²/yd² ratio, which is found by dividing.
43,560 ft² / 4,840 yd² = 9 ft²/yd² (or 9 square feet is equal to one square yard.)
(If it helps to grasp the concept, we can add a variable representing this ratio to solve for.)
43,560 = 4,840x
43,560 / 4,840 = 9
How many solutions does the system have?
5x−y=2
5x−y=−2
Answer:
10
Step-by-step explanation:
Answer:
khan says no solution
Step-by-step explanation:
khan knows best
There are two taxi companies in town. Local Cab charges a $3 initial charge and then
$4.25 per mile. Airport Taxi charges only $0.25 per mile, but there is a base fee of
$35
Write an equation, solve, and check to figure out how many miles, m, you
would have to travel in order for the cost to be the same using either company?
Answer:
your answer for that problem is 45.6
How much for $100 invested in 6% interest compounded monthly be worse after 20 years
Answer:
$331.02
Step-by-step explanation:
compound interest formula
A = P ( 1 + r/n)^nt
P = principal amount
r = rate decimal
n = number of times interest is compounded
t = time
A = 100 * (1 + .06/12)^(12*20)
A = 331.02
The points A, B, C and D lie in order on a straight line
such that
AB:BD = 1:2
AC:CD= 7:2
Find AB:BC:CD
Answer:
7 + 2 = 9, so AC = 7/9 and CD = 2/9
1 + 2 = 3, so AB = 1/3 = 3/9 and
BD = 2/3 = 6/9
AB + BC = AC
3/9 + BC = 7/9, so BC = 4/9
AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2
anny has two boxes. One box contains 10 colored pencils, 4 of which are red and 6 of which are green. The other box contains 7 markers, 4 of which are red and 3 of which are blue. He chooses one colored pencil at random, and one marker at random. What is the probability of Manny choosing a green pencil and a red marker?
Answer:
12/35Step-by-step explanation:
p(green pencil) = 6/10 = 3/5p(red marker) = 4/7p(green pencil and red marker) = 3/5*4/7 = 12/35how to solve the equation 2= -9n +22-n
Answer:
n = 2
Step-by-step explanation:
2 - 22 = -9n + 22 - n - 22
-20 = -9n - n
-20 = -10n
-20/-10 = -10/-10n
-2 = -n
n = 2
Answer:
The value of n is 2.
Step-by-step explanation:
First, you have to collect like-terms :
\(2 = - 9n + 22 - n\)
\(2 = - 10n + 22\)
Next, you have to subtract 22 on both sides :
\(2 - 22 = - 10n + 22 - 22\)
\( - 20 = - 10n\)
Lastly, have to divide -10 on both sides :
\( - 10n = - 20\)
\( - 10n \div - 10 = - 20 \div - 10\)
\(n = 2\)
estimate the quotients 6.15 ÷ 31
Answer:the answer is 19.10 or 20
Step-by-step explanation:
2/6+1/4
Show work please
And no links
Answer:
7/12
Step-by-step explanation:
1/3+1/4
convert to twelfths
4/12+3/12
7/12
Answer:
7/12
Step-by-step explanation:
2/6 + 1/4
Change the denomintors to be alike (Change the denominators to 12) 4/12 + 3/12
Multipy the top and bottom
Add
Get 7/12
Brainliest?
What is the slope of the trend line drawn into the scatterplot?
A. 15/163
B. 11/109
C. 109/11
D. 163/15
Answer:
C.) 109/11
Step-by-step explanation:
because I am on the exam right now
Distribute the following: 1.9 (3 + 2) 2.11 ( 4 - 1) 3.12 ( 7 + 7) 4.5 (4 + 8) 5.10 (9 - 5)
1.
9 (3+2)
We have to distribute number 9 in the parenthesis, multiply each term in the parenthesis by 9:
9(3)+9(2)
27+18
45
2.
11(4-1)
11(4)+11(-1)=44-11=33
3.
12(7+7)
12(7)+12(7)
84+84
168
4.
5 (4+8)
5(4)+5(8)
20+40
60
5.
10(9-5)
90-50
40
ab when a = 1/2 and b= 3/4
Answer:
3/8
Step-by-step explanation:
1/2*3/4
is
(1*3)/(2*4)
So it's 3/8
Answer:
Here,
a=\( \frac{1}{2} \)
b=\( \frac{3}{4} \)
Now,
\(ab \\ = \frac{1}{2} \times \frac{3}{4} \\ = \frac{3}{8} \)
Easy math help picture below problem 4
Answer: is 126 degrees
Step-by-step explanation:
Which of the following is the rule for rotating the point with coordinates (x,y), 180° clockwise about
the origin?
Answer:
A. (x, y) ⇒ (-x, -y)
Step-by-step explanation:
Rotation 180° in either direction is equivalent to reflection across the origin, and/or reflection across both axes (in either order). It negates both coordinates.
(x, y) ⇒ (-x, -y) . . . . rotation 180°
Plz help me! I’m not sure how to do these!
Step-by-step explanation:
2. x =101
3. x= 120
4. x= 30
I am very confused in question no 1 and 5 th .
hope this will be helpful to you.
plz mark my answer as brainlist if you find it useful .