Answer:
1. Proportional
2. Not proportional
3. Proportional
Step-by-step explanation:
We have three questions with 2 ratios and are asked if they are proportional or not.
To define proportionality, basically its if the two ratios equal the same value when put in a certain way.
And that way is :
[tex]\frac{x}{y} =\frac{x}{y}[/tex]
You will substitute the numbers with the letters, in which you will cross multiply :
[tex]\frac{x * y}{x*y}[/tex]
So subtitute :
1.
[tex]\frac{1}{3} *\frac{7}{21}[/tex]
[tex]\frac{1*21}{7*3}[/tex]
[tex]21=21[/tex]
Therefore 1. is proportional.
2.
[tex]\frac{3}{4} *\frac{24}{18}[/tex]
[tex]\frac{4*24}{3*18}[/tex]
[tex]\frac{96}{54}[/tex]
96 = 54
Therefore 2. is not proportional.
3.
[tex]\frac{1}{5} *\frac{6}{30}[/tex]
[tex]\frac{1*30}{5*6}[/tex]
[tex]\frac{30}{30}[/tex]
30 = 30
Therefore 3. is proportional.
Brandon took a 50-question exam worth a total of 160 points. There were x two-point questions and y five-point questions. How many of each type of question were on the exam?
Answer:
35 2-point questions, and 15 5-point questions
Assume x 2-points question, so 50-x 5-points question
Total no of points: 2*x+5*(50-x)=145 points
2x+250-5x=145
-3x=-105
x=-105/-3=35 2-points questions
Remaining 50-35=15 5-points questions
ok so i really hope this helped and if it didn't then sorry
There are 30 two-point questions and 20 five-point questions.
What is equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
According to questions, Brandon took a 50-question exam worth a total of 160 points.
There were x two-point questions and y five-point questions.
So,[tex]y=50-x[/tex]
Now, according to question, we will get the following equations
[tex]2x+5(50-x)=160[/tex]
⇒[tex]2x+250-5x=160[/tex]
⇒[tex]-3x=-90[/tex]
⇒[tex]x=30[/tex]
[tex]y=50-30\\[/tex]
⇒[tex]y=20[/tex]
Hence, we can conclude that there are are [tex]30[/tex] two-point questions and [tex]20[/tex] five-point questions.
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A commercial fisherman is (less likely, equally likely, more likely) to need health insurance than a supermarket employee.
A person who smokes is (less likely, equally likely, more likely) to need health insurance than a nonsmoker.
An 18-year-old male college student is (less likely, equally likely, more likely) to need health insurance than a 72-year-old retired female.
Answer:
A commercial fisherman is
EQUALLY LIKLEY
to need health insurance than a supermarket employee.
A person who smokes is
MORE LIKLEY
to need health insurance than a nonsmoker.
An 18-year-old male college student is
LESS LIKLEY
to need health insurance than a 72-year-old retired female.
An 18-year-old male college student is "less likely" to need health insurance than a 72-year-old retired female.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
We have been given probabilites related to different circumstances and need to health insurance.
Therefore, we have the following terms;
A commercial fisherman is "equally likely" to need health insurance than a supermarket employee.
A person who smokes is "more likely "to need health insurance than a nonsmoker.
An 18-year-old male college student is "less likely" to need health insurance than a 72-year-old retired female.
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Matrix A has 2 rows and 3 columns whereas matrix B has3 rows and 2 column
Can AB be multiplied? Can BA be multiplied? Give the reason
Step-by-step explanation:
for any matrix multiplication number of columns of first matrix should be equal to number of rows of second matrix.
For AB
A has 3 columns and B has 3 rows so it matches . Hence can be multiplied.
For BA
B has 2 columns and A has 2 rows it also matches so can be multiplied
How many of these figures have at least one vertex?
Answer:
2
Step-by-step explanation:
Vertex means point where three edges meet . Two middle figures have vertices
ANSWER THIS PLZZZZZZ!!!!!
Answer:
b
Step-by-step explanation:
Answer:
you were right, the answer is
D) the time spend reading book and the number of pages remaining to be read in the book.
Can someone please help me?
_Answer:
y=4x+3
Step-by-step explanation:
PLS HELP!! ASAP!!! PLEASE I BEGGGG
ARE THEY PROPORTIONAL AND WHY ASLO WHERE DO U PUT THE POINTS ?!!?!?!?!?
File Is Attached To The Question
Answer:
3.05x(output for x)39.65Step-by-step explanation:
to understand thisyou need to know about:functionPEMDASlet's solve:according to the question
the function is
f(x)=3.05x(first answer)
let's justify
f(1)=3.05×1
=3.05
LIKEWISE
f(3)=3.05×3
=9.15
therefore
it is the function
answer for the second question
f(13)=3.05×13
=39.65
if a chocolate cake is divided into six equal and each has 280 calories, how many calories are in the whole cake
Answer:
1680
Step-by-step explanation:
280 x 6 = 1680
An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. Using the average selling price of $1,000 per first-class seat, the total selling price for one new row is
f(r) = 4,000r. Each row in first class eliminates two rows of economy seats. Using the average selling price of $150 per economy seat, the total price for each pair of removed rows is e(r) = 1,800r.
Which is d(r), the profit or loss for adding r rows of first class seats?
A. d(r) = 2,200r
B. d(r) = 5,800r
C. d(r) = –2,200r
D. d(r) = –5,800r
Step-by-step explanation:
From the original question, we can rewrite this as:
An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. The total selling price for one new row is f(r) = 4,000r. Each row in first class eliminates a pair of rows of economy seats. The total price for each pair of removed rows is e(r) = 1,800r. Which is d(r), the profit or loss for adding r rows of first class seats?
f(r) = 4000r
e(r) = 1800r
d(r) = ? (profit or loss)
Assuming we had added a row of first class seats,
+ f(r) = 4000r
But we had to remove a pair or rows from the economy seats,
- e(r) = 1800r
Translating these into one equation:
d(r) = f(r) - e(r) = 4000r - 1800r = 2200r
Therefore, OPTION A.) d(r) = 2200r
The value of d(r) will be 2200r. The correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Assuming we had added a row of first-class seats,
+ f(r) = 4000r
But we had to remove a pair or rows from the economy seats,
- e(r) = 1800r
Translating these into one equation:
d(r) = f(r) - e(r) = 4000r - 1800r = 2200r
Therefore, the value of d(r) will be 2200r. The correct option is A.
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Help!!!!!
Not all will de used.
Match the expression with their simplified forms.
Answer:
1/2 go to 80
2 check 5 will go to 2 check 8
4 will go to 5/20
5 check 3 will go to 20
Step-by-step explanation:
What’s the answer to this pls?
Answer:
(0, 1 x 5)
A. (0, 5) I think
Step-by-step explanation:
9 1/4 - 4 5/6 subtraction
Answer:
4 5/12
Step-by-step explanation:
Rewriting our equation with parts separated
Solving the whole number parts
Solving the fraction parts
Find the LCD of 1/4 and 5/6 and rewrite to solve with the equivalent fractions.
LCD = 12
Combining the whole and fraction parts
Answer:
Improper fractions-53/12
Mixed fractions-4 5/12
Step-by-step explanation:
5x-2y=4
6x+2y=18 PLS HELP FAST
parallelogram RCEP∼parallelogram DGSW Drag the answers into the boxes to match each part of parallelogram RCEP with the corresponding part of parallelogram DGSW .
Answer:
E--S
EP--SW
R--D
CE--GS
Step-by-step explanation:
you just match them, out of the 4 letters, ce were in the middle of the two for parrallelogram RCEP, so we se the two middle letters DGSW, which is GS.
now apply this mechanism to all of the letters side by side.
hope this helps!
In trapezoid TRAP, the parallel bases are TP and RA
Is UV the midline of trapezoid TRAP? Why or why not?
Use the Trapezoid Midline Theorem that states the properties of
the midline of a trapezoid to justify your answer.
9514 1404 393
Answer:
UV is not the midline. (The midline length is 4.5.)
Step-by-step explanation:
The trapezoid midline is the average of the lengths of the bases. Here, the midline length would be ...
(7 ft +2 ft)/2 = (9 ft)/2 = 4.5 ft
The line length shown is 3.5 ft, so the segment shown is not the midline.
HELP ME ASAP PLEASE!!!
Answer:
51
Step-by-step explanation:
5x+6=9x-30
5x=9x-36
4x=36
x= 9
5×9+6=51
0.5 is 2.5% of what number?
Answer:
The number is : 20
Step-by-step explanation:
Thanks alot
Answer:
the number is = 20
Step-by-step explanation:
good bye
6 5/8 −3 2/9 ≈
HELP ME PLEASE
Answer:
3 29/81
Step-by-step explanation:
6 5/8-3 2/9
6 45/81-3 16/81
3 29/81
Answer:
3 29/72
Step-by-step explanation:
6 5/8 − 3 2/9 = 3 29/72
Hope this helps!
(If right, pls put brainlist)
Combine the following expressions. 2√k + √k - 3√k
Answer:
The answer is zero
Step-by-step explanation:
[tex]2 \sqrt{k} + \sqrt{k} - 3 \sqrt{k} = 3 \sqrt{k} - 3 \sqrt{k} = 0[/tex]
What is the slope? ???????
Answer:
1/2
Step-by-step explanation:
write an equation that is in slope-intercept form for the line that passes through the pair of points: (4, -2) and (8, -6)
Answer:
Step-by-step explanation:
4-8 -2- -6
4^2 8^2
16+64
80
8.9
What is the answer??? This is for geometry by the way.
Answer:
3
Step-by-step explanation:
Centroid theorem states that AX/AE = 2/3
Substitute in and XE = 3
simplify (12a5 − 6a − 10a3) − (10a − 2a5 − 14a4)
Answer: 14a^5+14a^4-10a^3-16a
Step-by-step explanation: sorry if it confusing but ^3 as an example is supposed to be the mini number that goes on top of that number.
-hope this helps
need help on question 14 here, if multiple people respond i will give the first responder brainiest
Answer:
x = 3
y = 2
Step-by-step explanation:
5x - 3 = 6y
5x + 3 = 9y
y = 5/6 x - 1/2
5x + 3 = 15/2 x - 9/2
-5/2 x + 15/2 = 0
-5/2 (x - 3) = 0
x = 3
Answer:
x = 3
y = 2
Step-by-step explanation:
because it's a rectangle, opposite sides are equal
AD = BC
AB = DC
so we can use their measures to create a system of equations:
5x + 3 = 9y
5x - 3 = 6y
if we multiply the first equation by -1 we can eliminate the x-values:
-(5x + 3 = 9y)
-5x - 3 = -9y
+ 5x - 3 = 6y
-6 = -3y
y = 2
If y = 2 then BC = 12 and we can set up this equation:
12 = 5x - 3
15 = 5x
3 = x
-X + 5+ 4x
simplify the expression
Answer:
3x+5
Step-by-step explanation:
combine like terms, and get 3x+5
Magdala is modeling 2.12÷4 how to cheeks change the place value blocks so she can make 4 equal shares
Answer and explanation:
If Magdala is trying to divide 2.12 by 4 then she would definitely need to change the place value of the dividend(2.12) and the divisor(4). In other words, both numbers need to be whole numbers.
To make 2.12 a whole number, we shift the decimal point two places to the right of the decimal point to get 212. We do same for 4 to get 400, since both numbers have to have their place values adjusted equally.
We divide 212 by 400 to get 0.53
Therefore 2.12 divided by 4= 0.53
What is (f + g)(x)?
f(x) = -3x^2
g(x) = -5x + 4
Answer:
x=4 and y= 2/3
Step-by-step explanation:
g(x)= -5x+4
g(0)= -5(0)+4
=4
(0,4)
then you find x
1(x)= -5x+4
x= -5x+4
x+5x = 4
6x ÷ 6 =4÷6
x = 2/3 or ⅔
The sum area please.
Answer:
4xy+24y^2−7x−38y−7
Step-by-step explanation:
(-7+4y) (6y+x+1)
-7*6y= -42y
-7*x= -7x
-7*1= -7
4y*6y= 24y²
4y*x= 4yx
4x*1= 4y
Add them up
(ONLY TWO CAPITAL LETTERS) PLEASE ANSWER CORRECTLY!!!!!! WILL MARK BRIANLIEST!!!!!!!! URGENT