The proportional equation representing the area Felicia covered, y, in terms of the number of tiles she used, x is:
[tex]y = \frac{x}{6}[/tex].
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
Researching this problem on the internet, we have that 6 tiles cover 1 square feet, 12 tiles cover 2 square feet, and so on, hence the constant is given as follows:
[tex]k = \frac{1}{6} = \frac{2}{12}[/tex]
Hence the function is given as follows:
[tex]y = \frac{x}{6}[/tex].
More can be learned about proportional equations at https://brainly.com/question/10424180
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Answer: Felicia's equation is:
y=1/9x
Step-by-step explanation:
at the grocery store, abdullah purchased 3 pounds of mac and cheese for $7.50 what does mac and cheese cost per pound?
Answer:
It costs $0.4 per pound of mac and cheese.
Step-by-step explanation:
3/7.50 = 0.4
Hope this helped. :)
help me with this please and thank you
Step-by-step explanation:
a.
1) if A(2;9) and B(6;17), then it is possible to make up the equation of the required line according
2) the rule:
[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]
3) if to substitute the coordinates of A&B into the rule, then:
[tex]\frac{x-2}{6-2}=\frac{y-9}{17-9}; \ => \ \frac{x-2}{4}=\frac{y-9}{8}; \ => \ \frac{x-2}{1}=\frac{y-9}{2};[/tex]
or 2x-y+5=0 or y=2x+5 (slope-interception form).
P.S. note, the suggested solution is not the shortest one. This task can be solved if to make up the system of two equations in slope-interception form.
b. see the attached picture (the required line is red colour);
c. f(4)=13. Short explanation: if to substitute the coordinate x=4 into the equation y=2x+5, then y=2*4+5=13;
d. the domain is (-∞;+∞), the range is (-∞;+∞).
Write the equation of the line in fully simplified slope-intercept form.
Simplify the exponential expression 48 Superscript one-half.
A video game has five stages. If Will beat 4/5 of the stages, what percent of the game has he finished
Answer:
75%
Step-by-step explanation:
1 = 10%
2 = 25%
3 = 50%
4 = 75%
5 = 100%
The angle of elevation from the tip of the shadow to the top of the tree is 36°. Find the distance from the top of the tree to the tip of the shadow. Round the answer to the nearest tenth. A. 26. 7 feet b. 30. 2 feet c. 40. 8 feet d. 42. 9 feet.
The expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
The given parameters are:
[tex]\mathbf{\theta =36^o}[/tex] --- the angle of elevation to the top of the tree
To do this, we make use of the following representations
s represents the distance from the tip of the shadow to the top of the treeh represents the height of the treeThe distance (s) is then calculated using the following sine ratio
[tex]\mathbf{ sin(\theta) = \frac{h}{s}}[/tex]
Make s the subject
[tex]\mathbf{ s = \frac{h}{sin(\theta)}}[/tex]
Substitute [tex]\mathbf{\theta =36^o}[/tex]
[tex]\mathbf{ s = \frac{h}{sin(36)}}[/tex]
Evaluate sin(36)
[tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
The height of the tree is not known.
Hence, the expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
Read more about elevations and distance at:
https://brainly.com/question/14550522
The expression that represents the required distance is
The given parameters are:
--- the angle of elevation to the top of the tree
To do this, we make use of the following representations
s represents the distance from the tip of the shadow to the top of the tree
h represents the height of the tree
The distance (s) is then calculated using the following sine ratio
Make s the subject
Substitute
Evaluate sin(36)
The height of the tree is not known.
Hence, the expression that represents the required distance is
Read more about elevations and distances at:
brainly.com/question/14550522
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A sixth grade class has 12 boys and 24 girls.
For every 2 boys, there are 4 girls. Do you agree with this statement? Explain.
Answer:
Yes
Step-by-step explanation:
The best way to solve this question is to use ratios. The first ratio to make is 12:24. This represents how there are 12 boys for 24 girls. Ratios remain equivalent as long as both sides of the ratio are simplified by the same number. So, you can divide both sides by 6. When you divide both sides you get 2:4. Therefore, there are 2 boys for 4 girls.
Round 18.527 to the nearest tenth.
Answer:18.53
Step-by-step explanation:
7 rounding up will end up to three
Answer:
18.5
Step-by-step explanation:
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
__________
Answer:
y = 2x +2
Step-by-step explanation:
The general slope-intercept equation of a line is y=mx+b , where m is the slope and b is the y-intercept ( where the line intersects the y-axis)
From the graph we see that
m= difference in y/difference in x = (6 - -6)/ (2- -4) = 12/6 = 2
m=2 is the slope
b is where the line cuts the y-axis and is at 2
b=2 is the y-intercept
Substitute m and b in the general equation to find the equation of the graphed line.
y = 2x +2
help ! which of the following are the roots of the given quadratic equation ?
[tex]2 {x}^{2} + 18x + 36 = 0[/tex]
a. 6
b. -6
c. 3
d. -3..
Answer:
The roots are {-6, -3}
Step-by-step explanation:
We are given four possible roots. To determine whether or not a particular possible root is actually a root, we use synthetic division. If the remainder is zero, we may conclude that this is actually a root.
Determine whether or not -3 is a root. Setting up synthetic division, we get
-3 / 2 18 36
-6 -36
---------------------
2 12 0
Since the remainder is zero, -3 is a root.
Try -6: Is this a root of 2x + 12? Setting up synthetic division, we get
-6 / 2 12
-12
----------------
2 0
The remainder is again zero, so -6 is also a root of the original equation.
The roots are {-6, -3}
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choices are ~
b and d
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex][tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex][tex]2x(x + 6) + 6(x + 6) = 0[/tex][tex](2x + 6)(x + 6) = 0[/tex]There's two cases here,
Case # 1 - when 2x + 6 = 0
[tex]2x + 6 = 0[/tex][tex]2x = - 6[/tex][tex]x = - 6 \div 2[/tex][tex]x = - 3[/tex]Case # 2 - when x + 6 = 0
[tex]x + 6 = 0[/tex][tex]x = - 6[/tex]Hence, the roots are -3 and -6 ~
what is the slope of this line
The slope is -4/3
This is because from the first dot to the second it is going down (negative) four the to the right (positive) three.
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
5\12
There are 84 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
49 red marbles
Step-by-step explanation:
We should first make 5/12 have a base of 84, so that'll be
(5*7)/(12*7)=35/84. So we have 35 blue marbles and all the rest are red, so 84-35=49
DUBS
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Twelve football teams are playing in a league. Each team played each of the other teams exactly once. How many matches were played in the league? *
1 point
a. 72
b. 66
c. 11
d. 132
Each team will play with 11 other teams. Hence each team plays 11 games. Hence a total of 11*12 =132 games but since each game involves two teams divide 132/2 = 66 so B
Two lines are
perpendicular if the
of their
А
and
Lline are also perpendicular.
If a line is perpendicular to one of the
two given parallel lines then it is also perpendicular to the other line.
As we know that by the theorem of perpendicular transversal theorem that in the plane, if a transverse is perpendicular to one or two parallel lines, then it is perpendicular to the third line. ... Since, they do not touch or interact with each other they are said to be parallel to each other.
Thnx for marking me as brainlistILL GIVE BRAINLIST ! Jamie spends the day at an amusement park. The table shows how many
tickets Jamie has after riding some amusement park rides. It represents a
linear function.
Number of rides
0
1
2
3
4
Number of tickets
16
12
8
4
0
What is the y-intercept of the function shown in the table, and what does it
represent?
A. The y-intercept is (4,0). Jamie uses 4 tickets per ride.
OB. The y-intercept is. (0,16). Jamie uses 16 tickets per ride.
C. The y-intercept is (0,16). Jamie has 16 tickets before going on any
rides.
O D. The y-intercept is (4,0), Jamie goes on 4 rides.
Answer:
The y-intercept is (0,16). Jamie has 16 tickets before going on any
rides.
Step-by-step explanation:
I don’t know how i’m supposed to do this it’s basically dividing a fraction with a fraction or something
It is 1.3 in decimal form
Answer:
84/63
Step-by-step explanation:
when you are dividing two fractions that is the equal of multiplying the upper one with the opposite of the one below
Somebody please help
Answer:
c/ y=20x
Step-by-step explanation:
help plz I need to solve this
Answer:
2,5
Step-by-step explanation:
Answer:
Slope = 2.5
This means that 2.5 mm of rain falls every 1 hour
Step-by-step explanation:
Slope if the line is y2-y1/x2-x1
so 10-5/4-2
5/2
2.5 mm/hr
Old McDonald's 3 hens lay the same number of eggs one week. This gives Old McDonald's wife enough eggs for two recipes. One recipe requires 10 eggs and the other recipe requires 2 eggs. How many eggs did each hen lay?
Create a probability model for the outcome of performing 2 spins. What is the probability of NOT landing on yellow or red at all?
Using the concept of probability, the probability of not landing on yellow or red at all is 1/4.
Creating a square model of the two spins :
Red(R) ; Blue(B) ; Green(G) ; Yellow(Y)___ R ___ B ___ G ___ Y
R_ RR __ RB __ RG __ RY
B_ BR __ BB __ BG __ BY
G_ GR __GB __ GG __GY
Y_ YR __ YB __ YG __ YY
Sample space = 4² = 16Combinations without red and yellow :
{BB, BG, GB, GG} Number of selections without red or yellow = 4Recall :
Probability = required outcome / Total possible outcomesP(without Red or Yellow) = 4/16 = 1/4
Hence, the probability of not landing on yellow or red at all is 1/4.
Learn more : https://brainly.com/question/14605518
Which of the following number forms a pattern
(a) – 6 , - 3 , 0 , 3 (b) – 5 , - 3 , - 2 , 0 (c) 0 , 2 , 3 , 4 (d) 1 , 2 , 4 , 6
Answer:
the answer is A since it forms a pattern :>
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Evaluate
d
if
(
x
1
,
y
1
)
=
(
−
3
,
4
)
and
(
x
2
,
y
2
)
=
(
−
2
,
4
)
.
Write each phrase as a numerical or algebraic expression. 189 subtracted from t
Answer:
t-189
Step-by-step explanation:
The basic Sl unit for measuring mass is the liter. True False
Step-by-step explanation:
False
The SI unit of mass is Kilogram ( Kg)
Calculating interest
Answer:
Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period. Here, the rate is given in percentage (r%) is written as r/100. And the principal is the sum of money that remains constant for every year in the case of simple interest.
Step-by-step explanation:
hope this helps
Ritta purchased a package of stickers. She noticed 4 out of every 5 stickers where purple. Which table shows the relationship between the number of purple stickers, p, and the total number of stickers, t?
Answer:
4:5
Step-by-step explanation:
I don't see the table but since it is 4 out of every 5 stickers are purple, the ratio would be 4:5, 4/5, or 4 to 5. It doesn't really matter, because all of these mean the same thing.
Tell me if I'm wrong :)
need #5 and #6 please
Answer:
Step-by-step explanation:
Please can someone help with rearranging formulae? Will mark brainliest!
Answer:
look at the picture ..........
if 3/ 4 part of the total number of students in a class are girls how much percent are boys
Answer:
1
Step-by-step explanation: because 3 are girls and 3 + 1 equals 4 its 1
Answer:
1/4 or 25% are boys
Step-by-step explanation:
3/4 + 1/4 = 4/4
75% + 25% = 100%
The height of a ball in feet is modeled by f(x) = -16x² +96x, where x is the time in seconds after it is hit. How long is the ball in the air?
Answer:
The answer is 144 feet and it will be in the air for 6 sec
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
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