Answer:
2Step-by-step explanation:
If y y varies directly with x, this is expressed as;
y ∝ x
y = kx
k is the constant of proportionality;
Given
x = 4 and y = 8
Substitute;
8 = 4k
4k = 8
k = 8/4
k = 2
Hence the constant of proportionality k is 2
At the toy store, Caleb and his younger brother, Gabe, each used money they had saved to buy Motor Mystery boxes. The convertibles are their favorite cars to get! Out of the 30 cars in Caleb's Jumbo box, 12 were convertibles. Out of the 10 cars in Gabe's Mini box, 4 were convertibles. Did the boxes have the same ratio of convertibles to total cars yes or no
Answer:
Answer: Yes
Step-by-step explanation:
Ratios
Caleb's Jumbo box has 30 cars, 12 of which are convertibles.
This gives a ratio of 12:30. The equivalent fraction of this ratio is:
[tex]\frac{12}{30}[/tex]
This fraction can be simplified by dividing both parts by 6:
[tex]\frac{2}{5}[/tex]
Thus Caleb's ratio of convertibles is 2:5.
Gabe's Mini box has 4 convertibles out of 10 cars. This gives a ratio of 4:10.
Simplifying by 2, the ratio is 2:5.
It's clear that both boxes have the same ratio of convertibles to total cars.
Answer: Yes
pls answer im dying here
Answer: A rotation followed by a reflection. The two figures are congruent because (I'm not sure about this one because I don't know the options that the drop-down menu provides.)
Decide whether the change is an increase or a decrease, and find the percent change. Original number = 35; New number = 16.... PLS LEAVE A STEP BY STEP EXPLANATION
Answer: 60 decrease or 150 decrease
Step-by-step explanation:
Please help please help
Answer:
1: A
2:C
3: B
4:27
5:16
6:1
3x+8=3x+____
Which value could you write in the blank above that would make the equation have one solution?
a.2x
b.8
c.7
Answer:
2x
Step-by-step explanation:
Think about it. Adding 8 would make the equation: 3x+8=3x+8. That has infinite solutions. if you made it 7, it would be 3x+8=3x+7, which is impossible.
Therefore, it must be 2x, which would make the equation 3x+8=5x.
Let's check: 3x+8=5x
8=2x
4=x
All good.
6. Find the value of x.
0
x
117°
660
a.
117
b. 297
c.
66
d. 51
Answer:
d.51
Step-by-step explanation:
Let the 3rd angle of the triangle be y. Then:
y+117=180
y=63
Then:
x=180-63-66
=51°
please find the circumceneter of the triangle
Answer:
Draw the perpendicular bisector of each line of each line.
Step-by-step explanation:
Because this is a right triangle, the circumcenter will always be located at the midpoint of the hgypotenuse. Locate those coordinates and you have the circumcenter.
enter an equation in slope intercept form for the line below
how many times can 3 go into 10000
Answer:
3333 times
Anymore and you'll have extra
May I have brainliest please? :)
Jan and Kim own numbers of marbles
that are in the ratio 5:6
Jan gains 2 more marbles and the ratio is
now 7:8
how many marbles do each own initially?
Answer:
5:6 + 7:8 = 12:14
Jan will have 12 marbles
Kim will have 14 marbles
Jan and Kim own 40 and 48 marbles respectively.
Important information:
Jan and Kim has marbles in ratio 5:6.Jan gains 2 more marbles and the ratio is 7:8.We need to find the initial number of marbles each own.
Ratio:Let the initial number of marbles be [tex]5x[/tex] and [tex]6x[/tex].
Jan gains 2 more marbles and the ratio is 7:8. So,
[tex]\dfrac{5x+2}{6x}=\dfrac{7}{8}[/tex]
[tex]8(5x+2)=7(6x)[/tex]
[tex]40x+16=42x[/tex]
Isolate the variable.
[tex]16=42x-40x[/tex]
[tex]16=2x[/tex]
[tex]\dfrac{16}{2}=x[/tex]
[tex]8=x[/tex]
Now, find the initial number of marbles.
[tex]5(8)=40[/tex]
[tex]6(8)=48[/tex]
Therefore, Jan and Kim own 40 and 48 marbles respectively.
Find out more about 'Ratio' here:
https://brainly.com/question/16054658
Andrew's fish tank measures
24 inches long, 10.5 inches
wide, and 13 inches high. What
is the volume of the fish tank?
MONS
15 volume of the fish tank
56 projects 5:9 ratio divide
Sheila bought a box of 25 headbands. When she arranged the headbands by color, she saw that 4 were green, 4 were red, 13 were blue, and 4 were pink. What is the percent of blue headbands she bought?
solve for r a= pi r squared
need help with this question please and thanks 100 points
-0.24 divided by 0.6
Answer:
-0.4
Step-by-step explanation:
Create a table of values for each given function, turn them into coordinate pairs, graph on the coordinate plane, and then connect the pints. Choose points carefully so that they fit on the given coordinate plane.
Answer:
y points are 0, 1, 2, and 3 for x points 0, 2, 4, 6
Step-by-step explanation:
choose the graph of the function f(x)=1/2 times -2.
click on the graph until the correct graph appears.
Answer:
ur correct u got it.
Step-by-step explanation:
points A, S, Q, and R are ___
Answer:
both please brainlist me
HELP PLSSSSSSSSSSSSS
Answer:
14 miles per hour
Step-by-step explanation:
49/3.5= 14
Hope this helps!
pls mark brainliest if correct
Answer:
14 miles per hour because to find the speed, use the formula speed = distance / time. 49 / 3.5 = 14.
Determine if the two triangles are congruent. If they are, state how you know.
PLS HELP!!!!! OR I FAIL!!!
The graph of g(x), shown below, is a vertical shift of the graph of f(x) = 2*
Write the equation for g(x).
Answer:
C
Step-by-step explanation:
+1 shifts the function up 1
i need help plz plz
Answer:
f(9) = 480 means that jason will have 480 after saving for 9 months
Jason will have 240$ after 3 months due to the fact that f(3) = 240
Jason will need to save 560 more dollers
Step-by-step explanation:
Which decimal is the largest?
A. 0.03
B. 0.3
C. 0.29
D. 0.039
The answer is B 0.3 because its 3/10 and all of the others is lesss
Is 150% of 36 less than 100, greater than 100 but less than 150, or greater than 150?
150% of 36 is
HELP!!
Answer:
no 150% of 36 is 54
Step-by-step explanation:
its 54 btw
i just need a little help figuring this out
find the value of X
circular running track is 1/5 of a mile long. Elena runs on this track, completing each lap in 1/15 of an hour. What is Elena's running speed?
Answer:
3m/hr
Step-by-step explanation:
Answer:
3mph
Step-by-step explanation:
The rectangular coordinates of a point are given. Find polar coordinates (r,theta) of this point with expressed in radians. Let r>0 and -2pi
(-2(square root)3,2)
PLEASE HELP URGENT
Answer:
The answer is "The Polar coordinates (r,[tex]\theta)[/tex] =[tex](4,\frac{5 \pi}{6})[/tex]"
Step-by-step explanation:
Given point:
[tex]\to (-2\sqrt{3},2)[/tex]
Formula:
[tex]r=\sqrt{x^2+y^2}\\[/tex]
[tex]=\sqrt{(-2\sqrt{3})^2+(2)^2}\\\\=\sqrt{12+4}\\\\=\sqrt{16}\\\\=\sqrt{4^2}\\\\=4[/tex]
[tex]\therefore \\\\ \tan \theta= \frac{y}{x}\\\\[/tex]
[tex]\tan \theta=\frac{2}{-2\sqrt{3}}\\\\ \tan \theta= -\frac{1}{\sqrt{3}}\\\\ \tan \theta= \frac{5\pi}{6}\\\\ \theta= \frac{5\pi}{6}[/tex]
The Polar coordinates (r,[tex]\theta)[/tex] =[tex](4,\frac{5 \pi}{6})[/tex].
The graph shows how the value of a car changes over
time.
Which function best represents the relationship shown
in the graph?
Car
y
~ y = -3,000x9
30,000
25,000
By = 27,000x + 9
20,000
Value (dollars)
15,000
10,000
5,000
y = 27,000x - 3,000
0
1 2 3 4 5 6 7 8 9 10
Time (years)
Dy = -3,000x + 27,000
The linear function is given by y = -2000x + 30000
Linear functionA linear function is a function in the form:
y = mx + b
where y,x are variables, m is the rate of change and b is the y intercept.
Let y represent the value of the car after x years.
From the graph, the line passes through point (0, 30000) and (3, 24000), hence:
[tex]y-30000=\frac{24000-30000}{3-0} (x-0)\\\\y=-2000x+30000[/tex]
Find out more on linear function at: https://brainly.com/question/15602982
A plant is already 13 centimeters tall, and it will grow one centimeter every month.
Let H be the plant's height (in centimeters) after M months.
Write an equation relating H to M. Then graph your equation using the axes below.
Answer:
H = M + 13
Step-by-step explanation:
Each month will add 1 cm to the height which is 13