Answer:
no c
Step-by-step explanation:
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?
Amelia’s, because the variable term must be isolated on the left side
Luis’s, because he flipped the inequality sign when he subtracted
Shauna’s, because she did not apply the subtraction property of equality properly
Clarence’s, because the terms he added together were not like terms
Answer:
Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get
6.5 > –2.4b – 8.1
Correct
Luis started by subtracting 4.8b from both sides to get
2.4b + 6.5 < – 8.1
Incorrect
Shauna started by subtracting 6.5 from both sides to get
7.2b > 4.8b – 14.6
Correct
Clarence started by adding 8.1 to both sides to get
7.2b + 14.6 > 4.8b
Correct
Luis’s is incorrect because he flipped the inequality sign when he subtracted
Selecting a few households from New York City and observing whether or not they own stocks when it is known that 28% of all households in New York City own stocks. Is this experiment a binomial experiment? Explain why.
Answer:
Since for each household there are only two possible outcomes, the a household owning stock is independent of any other household and there is a fixed number of trials, this experiment is a binomial experiment.
Step-by-step explanation:
We have to take into consideration three things:
For each household, there are only two possible outcomes, either they own stocks, or they do not.
The probability of a household owning stock is independent of any other household, that is, for any household, the probability of someone owning stocks is 28%.
There is a fixed number of trials.
Is this experiment a binomial experiment?
Since for each household there are only two possible outcomes, the a household owning stock is independent of any other household and there is a fixed number of trials, this experiment is a binomial experiment.
h(x) = -4x – 7, when x = 3:
Answer:
h(x) = -4 x –7
h(3) = -4(3) —7
h(3) = –12 –7
h(3) = – 19
Danny’s dog weighs 45.33 pounds. His cat only weighs 14.89 pounds. About how much more does his dog weigh?
rounding
Answer:
30.44 pounds.
Step-by-step explanation:
to find the answer you have to subtract 45.33 and 14.89
so 45.33-14.89= 30.44
so now you would have to round. the number after the decimal is NOT greater then 5 so Therefore, we simply remove the 4 an d the the whole number as: 30
SO your answer ROUNDING wise is 30
Hope this helps
Consider the following equations and name the property of equality used to solve for the variable.
A. x + 3.75 = 7
B. –3b = 18
C. StartFraction m Over 5 EndFraction = negative 25
D. m – 4 = 9
Answer:
Subtraction property ; x = 3.25
Division property ; - 6
multiplication property ; - 125
Addition property ; 13
Step-by-step explanation:
A.)
x + 3.75 = 7
Using the subtraction property : subtract 3.75 from both sides
x + 3.75 - 3.75 = 7 - 3.75
x = 3.25
B. )
–3b = 18
According to the division property :
Divide both sides by - 3
-3b / - 3 = 18 / - 3
b = - 6
C.)
m/5 = - 25
Using the multiplication property :
m/5 * 5 = - 25 * 5
m = - 125
D.)
m – 4 = 9
Using the addition property :
Add 4 to both sides :
m - 4 + 4 = 9 + 4
m = 13
Answer:
A. Subtraction property ; x = 3.25
B. Division property ; - 6
C. multiplication property ; - 125
D. Addition property ; 13
Step-by-step explanation:
suppose a triangle has 2 sides of lengths 32 and 35 and that the angle between these 2 sides is 120 what is the length of the 3rd side of the triangle
Let the Vertices of the Δ be A , B , and C
We will follow the Usual Notation for Δ A B C , e.g., the side
opposite to the Vertex A will be denoted by a , m ∠ A = A , etc.
In this notation, let us assume that,
a = 32 , b = 35 , & , C = 120 ° & we have to find c
Using Cosine-Rule for Δ A B C , we have,
c²= a²+b² - 2 ab cos C = 32 ²+35² - 2 x 32 x 35 x cos 120° =
1024 + 1225 − 2240 cos ( 180 °− 60 °) = 2249 - 2240(-cos 60°)
2249+ 2240 (1/2)= 2249 + 1120= 3369
Answer: C= √3369 is about 58.04
Answer: 58.043087 (approximate)
===================================================
Explanation:
Refer to the diagram below. We can use the law of cosines to solve for c
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 32^2 + 35^2 - 2*32*35*cos(120)
c^2 = 3369
c = sqrt(3369)
c = 58.043087 which is approximate
Round this value however you need to.
How do I simplify rational expressions
Answer:
a rational expression is an expression that has a RATIO in it
look at the word "RATIO"nal
a ratio is just a fraction...
so your question is "how to simplify fractions"
lots of approaches, this is one of them...
PRIME FACTOR the numerator and denominator
[tex]\frac{90}{135}[/tex]
90 = 2 * 3 * 3 * 5
135 = 3 * 3 * 3 * 5
= 2/3 (the two 3's cancel and the 5's cancel)
Step-by-step explanation:
The perimeter of a square is 16 cm. Find the length of its diagonal.
Answer:
perimeter of a square is l+l+l+l
16+16+16+16=64
Answer:
4√2 cm
Step-by-step explanation:
Perimeter of square = 4a = 16cm
a = 16 / 4
a = 4 cm
Length of each side = 4 cm
Diagonal^2 = side^2 + side^2
= 4^2 + 4^2
= 16 + 16
Diagonal^2 = 32
Diagonal = 4√2 cm
Seven people, named Anna, Bob, Chandra, Darlene, Ed, Frank, and Gina, will be interviewed for a job. The interviewer will choose two at random to interview on the first day. What is the probability that Anna is interviewed first, and Darlene is interviewed second?
Answer:
0.0238
Step-by-step explanation:
Total number of persons to be chosen from = 7
If each person has an equal probability of being selected ;
Number of persons to be selected = 2
Probability = required outcome / Total possible outcomes
P(Anna first) = 1 / 7
Recall; this is a selection without replacement ;
P(Darlene second) = 1 / 6
1/7 * 1/ 6 = 1 / 42 = 0.0238
Determine the domain and range of the function f(x) = 23/1082
O {x| all real numbers} {yly >0}
O {x} all real numbers}; {yl y 2 0}
O {x\ x >0}; {y| all real numbers}
O {x\ x 2 0}; {yl all real numbers}
Answer:
A
Step-by-step explanation:
The domain is all real numbers and the range is all real numbers greater than zero
The domain is {x| all real numbers} and the range is {y| y > 0}
How to find the domain of a function?
The domain of a function is the set of inputs that we can use in the function. To find it, we initially assume that it is the set of all real numbers, and then remove the problematic values of x.
For example, a problematic point would be a value of x that causes the denominator to be equal to zero.
In this particular case, we can see that the variable is in the exponent, thus it can take any real value and it will not cause any problem, so the domain is the set of all real numbers.
The range is the set of possible outputs. Because in this case, the base is a positive number, the outcomes will only be positive, then the range is given by:
y > 0.
So the correct option is A.
If you want to learn more about range and domain, you can read:
https://brainly.com/question/1770447
Which should equal 105° to prove that f I g?
abcd
Answer:
Step-by-step explanation:
sorry bout the poor drawing but it should be legible
Hello please help ASAP!
!!!PLEASE HELP!!!
explain the error
Answer:
Step-by-step explanation:
x is greater than minus 3. You have everything right but the graph. The arrowhead goes the other way. Around -3 is as small as x gets.
0====0====0====0====0
-3 -2 -1 O 1
O------------------------------->
The pair of equations y = 0 and y = -7 has how many solutions?
Answer:
2 solutions so it can be inferred that it might be a quadratic
Step-by-step explanation:
Answer:
no solutions
Step-by-step explanation:
y = 0 and y = - 7 are horizontal parallel lines.
Since they are parallel, they never intersect and so have no solutions.
Marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the y-axis. Which mapping notation is correct?
(x, y) right-arrow (negative x, y)
(x, y) right-arrow (x, negative y)
(x, y) right-arrow (negative x, negative y)
(x, y) right-arrow (y, x)
Answer:
(x,y) right arrow (negative x , y)
Step-by-step explanation:
Mathematically, when we reflect a point over the x-axis; we have a result
The result is that the x- coordinate of the point reflected takes up a negative value
so what we have here is that;
(x,y) becomes (-x,y) once reflected over the y-axis
So, traditionally, we add the arrow
So our answer is thus;
(x,y) right arrow (negative x , y)
Answer:
A.
Step-by-step explanation:
Find the measure of the indicated angle
Answer:
X = 88 degrees
Step-by-step explanation:
Because its an isosceles triangle the two top angles are 46.
46 + 46 = 98
then you take the degree of the triangle 180 and subtract 98 from it to get 88 degrees
Twenty-seven minus of a number (x) is not more than 36. What is the number?
A.
x > 42
B.
x ≥ -6
C.
x < 3
D.
x ≤ -6
Answer:
D
Step-by-step explanation:
dfjhygcftujnnbiijjhfsrfhhhuu
If < A and < B are vertical angles, and < A is 43 ° , then what is the measure of < B?
Select one:
a. 47 °
b. 137 °
c. 21 °
d. 43 °
Answer:
d
Step-by-step explanation:
vertical angles are congruent , so
∠ B = ∠ A = 43°
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 3 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 67
Calcule as expressões:
a) (-1/2)² + 2/5 =
b) (-1/2)³ + 1 =
c) (2/5)² x (-1/2)³ =
d) 2 x (-1/3)² - (1/2) =
e) 1 + (+2/5) – ( ½)² =
Step-by-step explanation:
a, 1/4+2/5=13/20
b,-1/8+1=7/8
c, 4/25×-1/8=-1/50
d, 2×1/9-1/2=2/9-1/2=-5/18
e, 1+2/5-1/4=7/5-1/4=23/20
Talia wants to find the amount of sugar that will fit in a box that is 4 inches long, 2 inches wide, and 6 inches high. What measurement does she need to calculate?
A)the perimeter of the box
B)the volume of the box
C)the width of the box
D)the area of the box
Answer:
C) the volume of the box
:)
O A. y = (x + 3)2 + 5
O B. y= (x - 5)2 + 3
O c. y = (x + 3)2-5
O D. X=-3(y + 5)2
Why does it say your phone is being attacked and then said something with 26 when I go on a website is it lying or do I have a virus?
Answer:
If you go to a website that has a red (or orange) triangle with an exclamation mark next to the link, it's an untrusted site. The things you list (your phone is being attacked and then said something with 26..) are likely to be scam ads (probably viruses). Therefore, I do not recommend you to click the ads or enter that site again.
Hallar el interés producido por un capital de /240a una tasa de interés del 30% anual prestados durante un tiempo de 2 años
Answer:
The interest for the two years is 144.
Step-by-step explanation:
Hallar the interest produced by a capital of /240 to an annual interest rate of 30% provided for a period of 2 years
Principal, P = 240
Interest, R = 30 %
Time, t = 2 years
The simple interest is given by
[tex]I = \frac{P\times R\times T}{100}\\\\I = \frac{240\times 30\times 2}{100}\\\\I = 144[/tex]
How do I find the area for this shape
Answer:
you do length times width then add them
What is the volume of the pyramid?
Answer:
[tex]volume=1/3 ~BH[/tex]
[tex]=1/3(16)^{2} \sqrt{17^{2} -8^{2} }[/tex]
[tex]=1/3\times256\times15[/tex]
[tex]=1280 ~ft^{3}[/tex]
------------------------
hope it helps...
have a great day!!
In 90 minutes, John can run 30 laps around the track. Determine the number of laps he can run per hour.
Answer:
in 90 minutes he ran 30 laps
there is 60 minutes in a hour so the fraction would be
2/3 so we have to multiply this by 30
2/3*30=20
He can run 20 laps in a hour
Hope This Helps!!!
how do you solve 2x+320=425
Answer:
how to solve your problem
Step-by-step explanation:
2x320=425
subtract both 320 both from sides of the equation
2x+320-320=425-320
subtract numbers
2x=105
divide both sides of equation by the same terms
2x/2=105/2
simplify
x=105/2
answer is x=105/2
Write a recursive rule for the sequence.
x, x, 2x, 3x, 5x, 8x, ...
I know that it adds its last term but I don't know the rule/formula to show that.
Answer:
f(n)=f(n-1)+f(n-2)
f(1)=1x
f(2)=1x
Step-by-step explanation:
This is the fibonacci sequence with each term times x.
Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.
That is:
1x+1x=2x
1x+2x=3x
2x+3x=5x
3x+5x=8x
So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.
f(1)=1x since first term of f is 1x
f(2)=1x since second term of f is 1x
Yes, I'm naming the sequence f.
So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...
Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.
So in general f(n)=f(n-1)+f(n-2).
So the full recursive definition is:
f(n)=f(n-1)+f(n-2)
f(1)=1x
f(2)=1x
Find the x-intercept of the graph of the linear equation y = −12x + 3.
Answer:
x-intercept = (1/4, 0)
Step-by-step explanation:
Just change the y to 0 if you want to find the x-intercept of a linear equation.
0=-12x+3
-12x=-3
x=1/4
y=0
x-intercept = (1/4, 0)
