Answer:
[tex]9x- 60=10[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{4}x - 5 = \frac{5}{6}[/tex]
Required
Rewrite to remove fractions
The denominators in the above expression are 4 and 6.
So, first we take the LCM of 4 and 6
[tex]LCM = 12[/tex]
Next, multiply both sides of the equation by this LCM (12)
[tex]12 ( \frac{3}{4}x - 5) = \frac{5}{6} * 12[/tex]
[tex]12 * \frac{3}{4}x - 12 *5 = \frac{5}{6} * 12[/tex]
[tex]3 * 3x- 60=5 * 2[/tex]
[tex]9x- 60=10[/tex]
Direct Variation, Constant of Proportionality, and Constant Rate of Change all represent linear proportional relationships.
In the equation LaTeX: y=kx what does each variable represent.
Answer:
y = dependent variable
k = constant of proportionality or constant rate of change
x = independent variable
Step-by-step explanation:
The equation, [tex] y = mx [/tex] represents a direct variation showing a proportional relationship between variable y and variable x.
y represents the dependent variable
k represents the constant of proportionality or constant rate of change
x represents the independent variable
. A man has the choice of running either a host-snack stall or an ice-cream stall at a sea side resort during the summer season. If it is a fairly cool summer, he should make Rs. 5000 by running the hot-snack stall, but if the summer is quite hot, he can only expect to make Rs. 1000. On the other hand, if he operates the ice-cream stall, his profit is estimated at Rs. 6500, if the summer is hot, but only Rs. 1000 if it is cool. There is a 40 per cent chance of the summer being hot. Should he opt for running the hot-snack stall or the ice-cream stall. Give mathematical argument.
Answer:
The investment cost from ice cream is significantly smaller than the hot dog shop, the man could perhaps opt for something like a hot dog stall.
Step-by-step explanation:
The given values are:
Percentage of being hot summer,
= 40%
i.e,
= 0.4
So that,
The percentage of being cold,
= 1 - 0.4
= 60%
Now,
From hot dog, the expected profit will be:
⇒ [tex]5000\times P(cold \ summer) + 1000\times P(hot \ summer)[/tex]
On putting the values, we get
⇒ [tex]5000\times 0.6+1000\times 0.4[/tex]
⇒ [tex]3400[/tex]
From ice-cream stall, the profit will be:
⇒ [tex]6500\times P(hot \ summer)+1000\times P(cold \ summer)[/tex]
On putting the values, we get
⇒ [tex]6500\times 0.4+1000\times 0.6[/tex]
⇒ [tex]3200[/tex]
So the above is the right response.
Which graph shows a proportional relationship between x and y?
Answer:
i think your answer would number 1 or number 4
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
Are rectangles ABCD and WXYZ congruent? Why or why not?
A. Yes, all right angles were preserved
B. Yes, both rectangles have an area of 24 square units.
C. Yes, a 180° rotation about the origin will map ABCD to WXYZ.
D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Answer:
D.
Step-by-step explanation:
ABCD area =12
WXYZ area=24
Answer:
D
Step-by-step explanation:
A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed are supposed to contain 300m. In fact, the contents vary according to a Normal Distribution with mean of 298 mL and a standard deviation of 3 mL. (a) What is the probability that an individual bottle contains less than 295 mL? Show your work. (b) What is the probability that the mean contents of six randomly chosen bottles is less than 295 mL? Show your work.
Answer:
0.15866 ; 0.0071627
Step-by-step explanation:
Given that:
Mean (m) = 298
Standard deviation (s) = 3
A.) P(x < 295)
Using the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (295 - 298) / 3 = - 1
p(Z < - 1) = 0.15866 ( Z probability calculator)
B.)
Z = (x - m) / s /sqrt(n)
Z = (295 - 298) / 3/sqrt(6) = −2.449489
p(Z < - 2.449) = 0.0071627 ( Z probability calculator)
Given values are:
Mean,
m = 298Standard deviation,
s = 3(a)
P(x < 295)
The standardized score will be:
→ [tex]Z = \frac{(x-m)}{s}[/tex]
By substituting the values, we get
[tex]= \frac{(295-298)}{3}[/tex]
[tex]= \frac{-3}{3}[/tex]
[tex]= -1[/tex]
Now,
By using the Z probability calculator, we get
→ [tex]p(Z< -1) = 0.15866[/tex]
(b)
The standardized score will be:
→ [tex]Z = \frac{x-m}{\frac{s}{\sqrt{n} } }[/tex]
By putting the values,
[tex]= \frac{295-298}{\frac{3}{\sqrt{6} } }[/tex]
[tex]= -2.449489[/tex]
Now,
→ [tex]p(Z < -2.449)= 0.007163[/tex]
Thus the responses above are correct.
Learn more about probability here:
https://brainly.com/question/20369155
who wants to be my tutor?????? like actuallly
Answer:
whatchu need help wit?
Step-by-step explanation:
If an arithmetic sequence
begins with a 6 and the constant term is 2, what would be the
fourth term of the sequence?
plsssss help
Answer:
a₄ = 12
Step-by-step explanation:
To obtain the terms in the sequence add 2 to the previous term, that is
a₂ = a₁ + 2 = 6 + 2 = 8
a₃ = a₂ + 2 = 8 + 2 = 10
a₄ = a₃ + 2 = 10 + 2 = 12
How many grams of protein will 7 servings provide?
Answer:
What does the serving consist of?
Step-by-step explanation:
Answer:
it depends on what the servings are
Step-by-step explanation:
Of 800 people who visited the zoo on Monday 65 percent were children. How many visited the zoo on Monday?
Answer:
520 are kids and 280 are adults
Step-by-step explanation:
Answer:
[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]
if 800 people visit zoo
64% were children
so = 65/100 ×800
65×8=520
no of children =280
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
What is x?
Please give an explanation too.
First answer - Brainliest
20p
Answer:
x=136°
Step-by-step explanation:
x=136° ( as it's vertical angle to 136°)
whats one plus 1 x 111111100000+y7897654323456x1
Answer:
Shoyo here!
Step-by-step explanation:
10000000000000000000000000000000
[tex] \frac{ - 2 + 3 \times 6} 5[/tex]
I need help please
Answer:
Step-by-step explanation:
we do first the multiplication 3*6=18
-2+18=16
16/5 is your answer or 3.2
Use the figure below to determine what is RU
Answer:
20
Step-by-step explanation:
8x=6x+5 (subtract 6x from both sides)
2x =5 (divide by 2 both sides)
x=2.5
8x= 8*2.5 = 20 (substitute 2.5 for x)
or 6x+5 = 6(2.5)+5 = 20 (substitute 2.5 for x)
What is the equation, in point intercept form, for a line that goes through (2, -6) and has a slope of -3/4
The answers are in the photo.
Oh and ignore the highlighted answer I mistakenly hit it.
I will give Brainlyist!!!
Answer:
y+6=-3/4(x-2)
Step-by-step explanation:
I am multiple of 70 I am between 300 and 500 I am more than a multiple of 100 who am I
Answer:
The answer is 420.
Step-by-step explanation:
The multiple of 70 lies between 300-500 has three possibilities such as 350,420,490
Answer:
420 hope this helps
Step-by-step explanation:
Please help!! Question is in the picture
Answer: (5,8)
Step-by-step explanation:
So this is a matter of using a system of linear equations
To start if a total of 13 people got a ticket then we know that
x+y=13
x and y being explained in the problem
then if adult tickets are $40 and children tickets are $20 and the total cost is 360 we can set up the next equation
40x+20y=360
If you were to plug in 1 lets say into x that means that 1 person bought a ticket for $40 this shown by 40 (1) this is the same premise for the childrens tickets.
now we have
x+y=13
40x+20y=360
now we can solve by eliminating one of the variables this is done by either getting rid of the x or y and solving for the other. I solved for the y value first this looks like
-40(x+y=13)
40x+20y=360
Distribute the -40 to each value
giving you
-40x-40y=-520
40x+20y=360
add these together from the top down
the x's cancel leaving
-20y=-160
then isolate the y value by dividing both sides by -20
-20y/-20=-160/-20
leaving you with your y point
y=8
This is how many childrens rickets were sold now we can plug into the first linear equation
x+8=13
now easy subtration to isolate the x point
x+8-8=13-8
x=5
Finally leaving you with point (5,8)
Please helppppp !!!!!!!!!!! Will mark correct Brianliest !!!!!!!!!!!!!!
Answer:
the third side is [tex]\sqrt{85}[/tex]
Step-by-step explanation:
root 85 is already the simplest form
Mrs. Franklin's kitchen is shaped like a rectangle. She has a scale drawing of her kitchen with dimensions 7 inches and 5 inches.
The scale of the drawing is 1/2 inch = 1 foot.
What is the perimeter of Mrs. Franklin's actual kitchen?
Answer:
48 feet
Step-by-step explanation:
7 inches = 14 feet
There are 14 halves in 7 inches.
5 inches = 10 feet
There are 10 halves in 5 inches
14+14+10+10=48
The perimeter is 48 feet
PLEAAseeeeeeeeeeeeeeeeeeeeeee
Answer:
[tex]1.25\cdot10^{5}[/tex] [tex]or[/tex] [tex]125000[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]1)[/tex] [tex]64\cdot10^{6}[/tex] = [tex]64000000[/tex]
[tex]2 )[/tex] [tex]32\cdot10^{6}[/tex] = [tex]32000000[/tex]
[tex]3)[/tex] [tex]16\cdot10^{6}[/tex] = [tex]16000000[/tex]
[tex]4)[/tex] [tex]8\cdot10^{6}[/tex] = [tex]8000000[/tex]
[tex]5)[/tex] [tex]4\cdot10^{6}[/tex] = [tex]4000000[/tex]
[tex]6)[/tex] [tex]2\cdot10^{6}[/tex] = [tex]2000000[/tex]
[tex]7)[/tex] [tex]1\cdot10^{6}[/tex] = [tex]1000000[/tex]
[tex]8)[/tex] [tex]5\cdot10^{5}[/tex] = [tex]500000[/tex]
[tex]9)[/tex] [tex]2.5\cdot10^{5}[/tex] = [tex]250000[/tex]
[tex]10)[/tex] [tex]1.25\cdot10^{5}[/tex] = [tex]125000[/tex]
[tex]--------------------------------------------[/tex]
The way I solved this question was by dividing each scientific form by two.
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
Determine x,y, and z.
80°
100°
55°
60°
The measure ofx is
The measure of y is
The measure of z is
Answer:
Step-by-step explanation:
You can get y and x immediately. z is a bit tricky.
x
The other two angles of a triangle containing x are 100 and 60.
x + 100 + 60 = 180 Add the two terms on the left
x + 160 = 180 Subtract 160 from 180
x = 180 - 160 Combine the right
x = 20
y
y is done exactly the same way.
55 + 80 + y = 180
135 + y = 180
y = 180 - 135
y = 45
z
You have x y and z all in the same triangle. You know x and y so z can be found in much the same way.
x + y + z = 180
20 + 45 + z = 180
65 + z = 180
z = 180 - 65
z = 115
Answer: x = 20
y = 45
z = 115
Step-by-step explanation:
There is one unknown variable in both triangles with known angles. To find the values of x, y, and z, add both the known angles and subract it from 180 degrees. The result will be the value of the variable. When you have both the values of x and y, do the same math to find the value of z.
Step 1: Find the value of x
Add the values of the two known angles in this traingle and subtract it from 180°
80 + 55 = 135
180 - 135 = 45
45° is the value of x
Step 2: Find the value of y
Add the values of the two known angles in this traingle and subtract it from 180°
100 + 60 = 160
180 - 160 = 20
20° is the value of y
Step 3: Find the values of z
Add the values of x and y and subtract it from 180°
45 + 20 = 65
180 - 65 = 115
115° is the value of z
The product of 3x2 and 5x4 is equivalent to...
A. 15x6
B. 15x8
C. 8x6
D. 8x8
Answer:
3*2=6. 5*4=20 and 6*20=120
now,
15*8=120
so the correct ans is 15*8
Which values are closer to 0 than -2 is? Is this set of values different from the set of values less than -2? Why?
Answer:
-1 is the only value that is closer to 0 than -2.
Step-by-step explanation:
help would be nice thank you!
Answer:
Option B
Step-by-step explanation:
Given equation gives the information about the temperature in Vancouver over a period of 4 hours.
y = -2x + 43
Here 43 represents the initial temperature and (-2) represents the temperature fall in every one hour.
x = duration or time
Therefore, equation states that initial temperature when measured was 43 °F and it is dropping by 2 degrees per hour.
Option B is the answer.
6 yd
8 yd
What is the length of the hypotenuse?
C =
yards
Answer:
The length of the hypotenuse is 10 yards.
Step-by-step explanation:
Given that this is a right triangle, you could apply the Pythagorean Theorem to it. Although I'm not exactly sure, given as there's no indication in your question.
The Pythagorean Theorem is a^2 + b^2 = c^2, for context.
So, 6^2 + 8^2 = ?^2.
6^2 = 36
8^2 = 64
64 + 36 = 100
However, 100 isn't the side length of c, it's c squared. To "unsquare" it, you need to find the square root of it.
In this case, the square root of 100 is 10.
6^2 + 8^2 = 10^2. Makes sense, right?
36 + 64 = 100
Hope this helps.
Write the slope-intercept form of the equation that is described below.
Through (-3, 3) and perpendicular to y = 1/3x + 5
What is the equation:
Answer:
3=-3*-3+b
3=9+b
-9 on both sides
-6=b
y=-3x-6
*-3 because the opposite of 1/3 is -3*
if a pet hamster is placed on a digital scale, the scale reads 1.5. What could be
the units?
Answer:
pounds?
Step-by-step explanation:
Answer:
ounces
Step-by-step explanation:
Hamsters are quite light, so it would make sense that the answer is in ounces
Which side lengths form a right triangle?
Answer:
abswer is b no
Step-by-step explanation:
hope it help
76-100 vgnfhyyhfhtdfrsgtrrtrtryfhyf hi
Answer:
-24
Step-by-step explanation:
hi
HELP ILL GIVE BRAINLIEST
Answer:
The bottom right table
Step-by-step explanation:
how do i do this- my brain has ✨evaporated✨
Answer:
lol
Step-by-step explanation:
im not even sure try using google