Answers
They arrive at the same answer because Jenna used the distributive property while Mia used the order of operations PEMDAS. In a lot of aspects of math, there are many approaches to reach the same answer.
Jenna's approach makes more sense, in my opinion, because when we multiply large numbers we're going to use the distributive property anyway. So why not just have it written down instead of done mentally in our head.
As a visual way to see why this works, check out the diagram below. We have a rectangle with height 5. The length of 34 is broken up into 30 and 4, so 34 = 30+4.
The blue portion has area of 5*30 = 150, while the red portion has area of 5*4 = 20. The two regions combine to 150+20 = 170.
So this diagram shows why Jenna's method is valid. Mia's method is valid as well, but again, we'll use some form of the distributive property to multiply 5 and 34. The only advantage that Mia has is that she uses one less written step compared to Jenna.
Related Questions
TRUE OR FALSE:
5(3t - 6) = 15t - 30
Answers
Answer:
im not 100% sure but i think its false
Step-by-step explanation:
Please help me with this x+125+d=1,245
Answers
Answer:
x=1120-d
Step-by-step explanation:
Answer:
x = 1120 - d
Step-by-step explanation:
Hi there!
We can simplify this using orders of operations.
First, subtract 125 from both sides to get x + d = 1120.
To isolate x, just subtract d from both sides.
If you give me a value for d, i can solve the full problem.
I hope this helps!
1kg petrol has density of 800kg/m3 find its volume in cm 3
Answers
Answer:
1.25*10-3m^3
Step-by-step explanation:
1kg petrol has density of 800kg/m3 find its volume in cm 3
Given data
mass m= 1kg
density = 800kg/m3
Required
The volume v
We know that
density= mass/volume
so
Volume= mass/density
substute
Volume= 1/800
volume=1.25*10-3m^3
Hence the volume is 1.25*10-3m^3
n this assignment, you will explore how to find the number of different species of fish in a pond by looking at a random sample of the fish.
Which phrase best describes the total number of brook trout in the pond?
the population of brook trout
the proportion of brook trout
the sample of brook trout
the population of fish
Answers
Answer:the population of brook trout
Step-by-step explanation:
Can somebody help me with this question. Will mark brainliest.
Answers
Answer:
the two triangles arent similar
Step-by-step explanation:
In order for the two triangles to be similar the sides GR and RA and SR and ST have to have the same ratio and they don't because 45/18 is 4.5 and 36/15 is 2.4.
Please!!! I’ll mark Brainliest!! I really need help!!!
Answers
Answer:
[tex] (x, \: \: y) = (4, \: \: - \frac{1}{4} )[/tex]
Step-by-step explanation:
[tex] \frac{1}{4} x + \cancel{ 1 \frac{1}{2} y} = \frac{5}{8}...(1) \\ \\ \frac{3}{4} x - \cancel{ 1 \frac{1}{2} y} = 3 \frac{3}{8} ...(2) \\ - - - - - - - - - \\(adding\: equations\: 1 \:\&\:2) \\ ( \frac{1}{4} + \frac{3}{4} )x = \frac{5}{8} + 3 \frac{3}{8} \\ \\ \frac{4}{4} x = \frac{5}{8} + \frac{27}{8} \\ \\ x = \frac{32}{8} \\ \\ x = 4 \\ \\ plug \: x = 4 \: in \: equation \: (1) \\ \\ \frac{1}{\cancel 4} \times \cancel 4 + 1 \frac{1}{2} y = \frac{5}{8} \\ \\ 1 + \frac{3}{2} y = \frac{5}{8} \\ \\ \frac{3}{2} y = \frac{5}{8} - 1\\ \\ \frac{3}{2} y = \frac{5 - 8}{8}\\ \\ \frac{3}{2} y = \frac{ - 3}{8}\\ \\ y = \frac{ - 3}{8} \times \frac{2}{3} \\ \\ y = \frac{1}{4} \\ \\ (x, \: \: y) = (4, \: \: - \frac{1}{4} )[/tex]
Write an equation of the line in slope-intercept form through the given points: (0, 2) and (3, 3).
Answers
someone please help me with this it’s due today and explain too
Answers
Answer:
D
Step-by-step explanation:
Step-by-step explanation:
you can use the app photo math or mathaway. its help alot the app also explains the work
3(b+1) +1 = 4b
please hurry i need it now
Answers
Answer:
4=b
Step-by-step explanation:
3b+3+1=4b
3b+4=4b
-3b -3b
4=b
I'll give brainliest!!!! help!
The area, A, in square feet, of the base of a rectangular storage bin in a warehouse is given by the function A(x) = -2x2+ 36x, where x is the width, in feet, of the storage bin.
Part A: Which of the following statements would be TRUE?
A.
The x-intercepts of the function are 0 and 8, which are a lower bound and an upper bound for the possible values of the length of the storage bin.
B.
The x-intercepts of the function are 0 and 18, which are a lower bound and an upper bound for the possible values of the length of the storage bin.
C.
The x-intercepts of the function are 0 and 8, which are a lower bound and an upper bound for the possible values of the width of the storage bin.
D.
The x-intercepts of the function are 0 and 18, which are a lower bound and an upper bound for the possible values of the width of the storage bin.
Answers
Answer:
It’s D bro
Step-by-step explanation:
I’m doing the exact test rn it’s d trust
Answer:
C or D, but mostly D
Step-by-step explanation:
It's either C or D because I know the intercepts are 0 and 18. It says where X is the width so My final Answer would be D
PLEASE HELP !! i suck at math
Answers
HeLp meee NeOW If DONT U WILL SUFfEr SEVERE consequences...
The lower a county's economic development, the
A) higher the literacy rate.
B) higher the cost of living.
C) higher costs of education.
D) lower the infant mortality rate.
Answers
Answer:
B
Step-by-step explanation:B
Answer:
the answer to this question is B
Jenna often babysits to earn extra money. On Friday night, she made $42 for babysitting 3 hours. On Saturday night she made $63 for babysitting 4.5 hours
Answers
Answer:
4 hours
Step-by-step explanation:
trigonometry help!! - double angle formulae
Answers
Answer:
The two rules we need to use are:
Sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)
cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)
And we also know that:
sin^2(a) + cos^2(a) = 1
To solve the relations, we start with the left side and try to construct the right side.
a) Sin(3*A) = sin (2*A + A) = sin(2*A)*cos(A) + sin(A)*cos(2*A)
sin(A + A)*cos(A) + sin(A)*cos(A + A)
(sin(A)*cos(A) + sin(A)*cos(A))*cos(A) + sin(A)*(cos(A)*cos(A) - sin(A)*sin(A))
sin(A)*cos^2(A) + sin(A)*cos^2(A) + sin(A)*cos^2(A) - sin^3(A)
3*sin(A)*cos^2(A) - sin(A)*sin^2(A)
sin(A)*(3*cos^2(A) - sin^2(A))
Now we can add and subtract 4*sin^3(A)
sin(A)*(3*cos^2(A) - sin^2(A)) + 4*sin^3(A) - 4*sin^3(A)
sin(A)*(3*cos^2(A) + 3*sin^2(A)) - 4*sin^3(A)
sin(A)*3*(cos^2(A) + sin^2(A)) - 4*sin^3(A)
3*sin(A) - 4*sin^3(A)
b) Here we do the same as before:
cos(3*A) = 4*cos^3(A) - 3*cos(A)
We start with:
Cos(2*A + A) = cos(2*A)*cos(A) - sin(2*A)*sin(A)
= cos(A + A)*cos(A) - sin(A + A)*sin(A)
= (cos(A)*cos(A) - sin(A)*sin(A))*cos(A) - ( sin(A)*cos(A) + sin(A)*cos(A))*sin(A)
= (cos^2(A) - sin^2(A))*cos(A) - sin^2(A)*cos(A) - sin^2(A)*cos(A)
= cos^3(A) - 3*sin^2(A)*cos(A)
= cos(A)*(cos^2(A) - 3*sin^2(A))
now we subtract and add 4*cos^3(A)
= cos(A)*(cos^2(A) - 3*sin^2(A)) + 4*cos^3(A) - 4*cos^3(A)
= cos(A)*(-3*cos^2(A) - 3*sin^2(A)) + 4*cos^3(A)
= cos(A)*(-3)*(cos^2(A) + sin^2(A)) + 4*cos^3(A)
= -3*cos(A) + 4*cos^3(A)
can anyone please help ME!:)
Answers
Answer:
x y
0 0 - this is the y intercept
1 -4
2 -8
3 -12
4 -16
Step-by-step explanation:
which of the following represents an element
A O
2
B H2O
C CO2
D NO2
Answers
Answer:
I believe the answer is O2
Answer:
A. Correct
B. Incorrect
C. Incorrect
D. Incorrect
Step-by-step explanation:
B, C, and D are compounds rather than elements
A tree is 4
541 feet tall. It is expected to grow by 1 feet per year.
At this growth rate, how many years will it take for the tree to have a height greater than 40 feet? Enter the answer in the box.
years
Answers
Answer:
21 years
Step-by-step explanation:
80 books to 64 books. What's the percent of change?
Answers
Answer:
A change from 64 to 80 represents a positive change (increase) of 25%
Step-by-step explanation:
Which method do you prefer to use: Trig Method or Special Right Triangles
Answers
Answer:
would use the Trig Method.
Step-by-step explanation:
Element X is a radioactive isotope such that every 27 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 7900 grams, how much of the element would remain after 12 years, to the nearest whole number?
Answers
Answer:e
Step-by-step explanation:
Answer:
5805
Step-by-step explanation:
help me please on this math question
Answers
Answer:
729 * 10^-45
Step-by-step explanation:
Here, we want to expand the value based on the exponent
We have the power multiplying every term in the bracket
That would be;
9^3•10^-45
= 729 * 10^-45
PLEASE SOMEONE HELP
solve the equations using substitution method and SHOW YOUR WORK
A. y = 2x + 1
5x + y = 15
B. y = x + 7
4x + 3y = -7
C. y = 1
6x - 8y = 28
D. 2x - 3y = 16
4x + y = 4
Answers
- Harvard university professor
Which expressions are quadratic expressions? Check all that apply.
z2
2x + 7x – 10
2x2 + 9x – 7
500(0.25)t – 1
13x3 + 21x2 – 5
Answers
Answer:
Step-by-step explanation:
the quadratic expression is
2x^2+9x-7
this is the only one
Answer:
2x^2+9x-7
Step-by-step explanation:
What do you call a person with dog ears and tail
Answers
Answer:
a dog
Step-by-step explanation:
Answer:
Dunno...Dog-man?
Step-by-step explanation:
Lemme think about that
Please help me with the correct answer
Answers
Solve for please :):)
Answers
Answer:
x=20
Step-by-step explanation:
x+2x+x+10=90
4x+10=90
4x=90-10
4x=80
x=80/4
x=20
may someone help me with this?? QUESTION: Write the phrase as an expression 5 times a number d An expression is. i put already d-15 but it was wrong so yes i need help
Answers
Answer:
5d
Step-by-step explanation:
five time a number d
5 x d
5d
PLEASE HELP ME I NEED TO PAST THIS TEST. Jack invests $30,000 with an interest rate of 4.5% compounded quarterly. After 6 years, what is the total amount of Jack's investment?
Enter your answer in the box rounded to the nearest cent.
Answers
Answer:
1350
Step-by-step explanation:
Hope this helps!
verifyexperimentally sum of angle of quadrilateral is 360 degree
Answers
No.of sides=4
sum of angle of quadrilateral
=(n-2)*180°
=(4-2)*180°
=2*180°
=360°
Why is graphing the best method to solve the following system of equations?
y= 3x + 1
y=x+5
Answers
Answer:
because all the numbers used are whole numbers and as a result will appear clearly on a graph. if there were decimals you would need to estimate and the answer would not be accurate
