Answer:
y - 4 = 3/2(x - 3)
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - 4 / -1 - 3
-6 / -4
= 3/2
y - 4 = 3/2(x - 3)
Stephanie earns $4,000 a month, plus a 10% commission on everything she sells. If during one month, she sold $50,000 worth of product, what was her salary for that month?
$9,000
$4,000
$5,000
$6,500
What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p
Answer:
p=1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
Multiply each side by 5 to clear the fractions
5(2/5 + p) = 5(4/5 + 3/5p)
2 +5p = 4 + 3p
Subtract 3p from each side
2+5p-3p = 4+3p-3p
2+2p = 4
Subtract 2 from each side
2+2p -2 = 4-2
2p =2
Divide by 2
2p/2 = 2/2
p=1
[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]
[tex]\sf{\dfrac{2}{5}+p=\dfrac{4}{5}+\dfrac{3p}{5} }[/tex] [tex]\sf{ \dfrac{2}{5}+p=\dfrac{4+3p}{5} }[/tex] [tex]\sf{5(\dfrac{2}{5}+p)=4+3p }[/tex] [tex]\sf{ 2+5p=4+3p }[/tex] [tex]\sf{5p-3p=4-2 }[/tex] [tex]\sf{ 2p=2 }[/tex] [tex]\sf{p=\dfrac{2}{2} }[/tex] [tex]\bold{p=1 }[/tex]Find the sum of the first 10 terms of the following series, to the nearest integer.
40, 32, 128/5,...
,...
Answer:
answer for this solution is 179
Answer:
the answer is 175 for this solution
Which ordered pairs make both inequalities true? Select two options
Answer:
there isn't any options
A batch of granola uses 2 cups of honey to make 24 servings.
How much honey is needed to make 42 servings?
What is the slope of a line passing through the points (3,9) and (5,10)?
Answer:
1 / 2 or 0.5
Step-by-step explanation:
use the formula ; m = y2 - y1 / x2 - x1
where y2 = 10
y1 = 9
x2 = 5
x1 = 3
a prop for a school musical is cut from a sheet of cardboard. the shape is shown in the picture, what is the area of the shape?
Answer:
32
Step-by-step explanation:
area of rectangle: 6*4=24
area of top triangle: 4*2=8
24+8=32 total area
You are in a store shopping, you see two nice shirts, one is 50% off, the regular price of $45.50 and the other is 30% of $35, which one is cheaper?
Answer:
The answer would be the second option
Step-by-step explanation:
first option 45.50/2 = 22.75
second option would be 10.75
so the second option is correct
Which of the following is not a real number?
O A. Squared root of 1
B. Squared root of 13
C. Squared root of 16
D. Squared root of -4
Answer:
D: √(-4)
Step-by-step explanation:
D: √(-4) is not a real number; it's an imaginary one.
You want to invest in companies belonging to Gispa Group of
1
Companies, Inc. so you did some research and found out that companies belonging to this group has an average gain of
0.8
percent and standard deviation of
0.7
percent. Given that a positive percent (gain) means profit and a negative percent means a loss. If you choose
20
companies, what is the probability that the companies are gaining more than
1
percent?
Answer:
1.2803
Step-by-step explanation:
According to the Question,
Given That, You want to invest in companies belonging to Gispa Group of 1 Companies, Inc. so you did some research and found out that companies belonging to this group have an average gain of 0.8 percent and a standard deviation of 0.7 percent. And, a positive percent (gain) means profit and a negative percent means a loss. If you choose 20 companies.Therefore, We have Average Gain(ц) = 0.8%
Standard deviation(σ) = 0.7%
Number of Companies(n) = 20
So, the probability that the companies are gaining more than 1 percent is[tex]X_{i}[/tex] = (σ² × n) / ц ⇒ (0.7²×20) / (0.8*10) = 1.2803
Can someone please professionally explain the math question shown on the image. (Not just answer the question) Step by step.
I will mark as brainliest!
Answer:
[tex]x=65[/tex]
Step-by-step explanation:
Area of a triangle is always 180 degrees...
In this triangle we have two values given, lets make an equation & solve it:
[tex]x+68+47=180[/tex]
[tex]x+115=180[/tex]
[tex]x=180-115[/tex]
[tex]x=65[/tex]
To check if you have the right answer, add all the angles to get 180:
[tex]68+47+65=180[/tex]
Therefore, x = 65
I hope this help :)
[tex]\huge\bold{Given :}[/tex]
Angle ABC = [tex]x[/tex]
Angle BAC = 68°
Angle BCA = 47°
[tex]\huge\bold{To\:find :}[/tex]
The measure of angle ABC [tex]''x"[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\green{x\:=\:65°}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ ABC + ∠ BAC + ∠ BCA = 180°
➪ [tex]x[/tex] + 68° + 47° = 180°
➪ [tex]x[/tex] + 115° = 180°
➪ [tex]x[/tex] = 180° - 115°
➪ [tex]x[/tex] = 65°
Therefore, the measure of ∠ ABC is 65°.
Hence, the three angles of the triangle are 65°, 68° and 47° respectively.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ ABC + ∠ BAC + ∠ BCA = 180°
✒ 65° + 68° + 47° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
(Note:- Kindly refer to the attached file.)
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
6 rational numbers between -2/3 and 1/2
Answer:
-0.5, -0.4,-0.3,-0.2,-0.1 and 0.1
Step-by-step explanation:
We have to calculate 6 rational number between -2/3 and 1/2
So,
[tex]\frac{-2}{3} =-0.6\\\frac{1}{2} =0.5[/tex]
Now,
Rational numbers between -2/3 and 1/2 will be -0.5, -0.4,-0.3,-0.2,-0.1 and 0.1
What is the weight of a science book if its mass is 250g
2.45 N
weight = mass x 9.8 m/s^2
Answer:
Here,
Mass ( m ) = 250g = (250/1000) kg =0.25 kg
g =9.8 m/s^2
Weight ( W ) = ?
We know that,
Weight ( W ) = m*g [Where g is acceleration due to gravity]
= (0.25*9.8) N
= 2.45 N
Hope it helps!
Find the missing side length
Answer: Question 1: A. 48 would the answer
Answer: Question 2: C. 48 would be the answer
Hope this help...
Have a great day.
Answer:
C ) 48
Step-by-step explanation:
To begin, you have to figure out which angles correspond on the two triangles.
So here are the angles that correspond:
U = N
T = M
S = L
So, ST would be similar to LM so 32 and 8 will be similar.
And UT will be similar to NM so the missing length and 12 are similar.
To begin, find out the scale factor by dividing 32 by 8 to get 4.
Then, multiply 12 by 4 to get 48 for the missing length.
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Delete this answer, I was solving for area
Answer:
v= 100
Step-by-step explanation:
V=a2h/3
v= 15*(20/3)
v= 15*6.6
v=100
SOMEONE PLEASE HELP MEEEE
Answer:
[tex]-180^{\circ}[/tex]
Step-by-step explanation:
Lines form 180 degrees on either side. The negative sign simply implies direction (clockwise instead of counter-clockwise), which is negligible as 180 is exactly half of 360 so you'd form the same line.
Answer:
-180 because its through 0
hope this helps!
If it takes a student 1 month to read 3 books, how many months will it take them to read 24 books?
Answer:
8 Months to read 24 Books
Answer:
240
Step-by-step explanation:
Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b?
How can Victoria justify Step 3 of her work?
Answer:
ans: x= 1/(a-b)
Step-by-step explanation:
given equation is
ax = bx + 1
to isolate x , take bx to left side
or,
subtract bx on both sides , I.e
ax - bx = 1
x( a- b) = 1
x = 1/(a- b)
What is the slope of this equation? Y=1/3x+4
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
what is the mean absolute deviation for the following(you don't need to show work): 7 6 8 5 1 6, 7 9 6 4 5 4, 4 5 6 6 9 2 3.
Answer:
the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
Here's how to calculate the mean absolute deviation.
Step 1.Calculate the mean.
Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.
Step 3: Add those deviations together.
Step 4: Divide the sum by the number of data points.
Following these steps in the example below is probably the best way to learn about mean absolute deviation, but here is a more formal way to write the steps in a formula:
\text{MAD}=\dfrac{\sum{\lvert x_i-\bar{x} \rvert}}{n}MAD= ∑∣ xi -x /n
start text, M, A, D, end text, equals, start fraction, sum, open vertical bar, x, start subscript, i, end subscript, minus, x, with, \bar, on top, close vertical bar, divided by, n, end fraction
Example
Erica enjoys posting pictures of her cat online. Here's how many "likes" the past 666 pictures each received:
10, 15, 15, 17, 18, 21
Find the mean absolute deviation.
Step 1: Calculate the mean
The sum of the data is 96 total "likes" and there are 6 pictures.
\text{mean}=\dfrac{96}{6}=16
mean= 96/6=16
start text, m, e, a, n, end text, equals, start fraction, 96, divided by, 6, end fraction, equals, 16
The mean is 16
Step 2: Calculate the distance between each data point and the mean.
Data point Distance from mean
10 |10-16|=6
15 |15-16|=1
15 |15-16|=1
17 |17-16|=1
18 |18-16|=2
21 |21-16|=5
Step 3: Add the distances together.
6+1+1+1+2+5=16
Step 4: Divide the sum by the number of data points.
\text{MAD}=\dfrac{16}{6}\approx2.67MAD=
MAD=16/6 =2.67 Likes
On average, each picture was about 333 likes away from the mean.
The area of a flower garden is 60m2. One third of it was used for growing roses and the remaining area was divided into two equal parts. Find the area of each remaining part?
Given:
The area of a flower garden is 60 m².
One third of it was used for growing roses and the remaining area was divided into two equal parts.
To find:
The area of each remaining part.
Solution:
It is given that the area of a flower garden is 60 m² and one third of it was used for growing roses. So, the remaining part is:
[tex]\text{Remaining}=60-\dfrac{1}{3}\times 60[/tex]
[tex]\text{Remaining}=60-20[/tex]
[tex]\text{Remaining}=40[/tex]
The remaining area was divided into two equal parts. So, the area of each remaining part is:
[tex]\text{Area of each remaining part}=\dfrac{40}{2}[/tex]
[tex]\text{Area of each remaining part}=20[/tex]
Therefore, the area of each remaining part is 20 m².
the sum of three numbers is 62 the second number is equal to the first number diminished by for the third number is four times the first
Answer:
11, 7, 44
Step-by-step explanation:
a+b+c = 62
a-4 = b
c = 4×a
I think you meant "diminished by four", right ?
=>
a + a-4 + 4×a = 62
6×a - 4 = 62
6×a = 66
a = 11
=>
b = 11 - 4 = 7
c = 4×11 = 44
An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. Choose the correct interpretation for the 98% confidence interval for the population proportion.
a. We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
b. We are 98% confident the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
c. In 98% of all samples, the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
d. The proportion of adults in the United States who believe it more enjoyable to be married than single is between 0.7250 and 0.7770.
Answer:
(a). We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
Step-by-step explanation:
According To the Question,
Given, An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. The interpretation for the 98% confidence interval for the population proportion is in Option A.what is the solution to x^2 + 6x + 7
Answer:
x2+6x+7
Step-by-step explanation:
there are no like terms
i think you are missing something in your question (like the equal sign?)
reply in comment so i can help:)
write the expression in expanded form
3h^3(k+3)^2
Answer:
3h³k² + 18h³k + 27h³
Step-by-step explanation:
Given
3h³(k + 3)² ← expand factor using FOIL
= 3h³(k² + 6k + 9) ← distribute parenthesis
= 3h³k² + 18h³k + 27h³
Can someone Find X and Y
The answer is in the image. Y is 25 because the legs are the same (45 and 45 degree angles) and x is found with trigonometry or can be √1250 (simplified as 25√ 2) using pythagorean theorem or by using 45 45 90 triangle rule.
HELPPPPP PLEASEEEEE
Answer:- 1/2
Step-by-step explanation:
You are standing 30 meters from a hot air balloon that is preparing to take
off. The angle of elevation from you to the top of the hot air balloon is 28º. Find the
distance from you to the top of the balloon. (Round to two decimal places)
Answer:
The distance to the top of the balloon is approximately 33.977 meters
Step-by-step explanation:
The (horizontal) distance from the hot air balloon from the observer, l = 30 m
The angle of elevation to the top of the balloon, θ = 28°
With the balloon standing upright, the distance to the top of the balloon, d, the height of the balloon, h and the horizontal distance to the balloon, l, form a right triangle, where;
d = The hypotenuse side
l = The leg adjacent to the reference (given) angle,
h = The leg opposite to the given angle, θ
By trigonometric ratios, we have;
[tex]cos\angle X = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]
From which we get;
[tex]cos\angle \theta = \dfrac{l}{d}[/tex]
[tex]cos(28^{\circ}) = \dfrac{30 \ m}{d}[/tex]
[tex]d = \dfrac{30 \ m}{cos(28^{\circ}) } \approx 33.977 \, m[/tex]
The distance to the top of the balloon, d ≈ 33.977 m
5. A gallon of paint covers 300 square feet.
How many gallons must be bought to cover a room with two 25' by 12' walls and
two 20' by 12' walls?
Step-by-step explanation:
wall 25×12=300
2 walls = 600
wall2 20×12=240
2 wall2= 480
600+480= 1080 sq ft
The number of gallons that must be bought to cover a room with two 25' by 12' walls and two 20' by 12' walls is 3.6 gallon
What is area of rectangle ?"Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides."
Given,
A gallon of paints covers 300 square feet.
Area of the first two walls is [tex]2*25*12[/tex] = 600 square feet
Area of the second two walls is [tex]2*20*12[/tex] = 480 square feet
Total area of the room is = 480+600 = 1080 square feet
The paint required for 1 feet is = 1/300
So, the paint required for 1080 feet is = 1080/300 =3.6
Hence, the paint required to cover the entire room is = 3.6 gallon
To know more about area of rectangle here
https://brainly.com/question/21982865
#SPJ2
4(2.25w+3.1)-2.75w=44.9
Answer:
w = 5.2
Step-by-step explanation:
4(2.25w + 3.1) - 2.75w = 44.9
9w + 12.4 - 2.75w = 44.9
6.25w + 12.4 = 44.9
6.25w = 32.5
w = 5.2
4(2.25w+3.1)-2.75w=44.9
9w+12.4-2.75w=44.9
9w-2.75w+12.4=44.9
44.9-12.4=32.5
9w-2.75w=32.5
6.3w/6.3=32.5/6.3
=5 10/63
