Answer:
9x + 5= 32
9x=27
x=3
Find the equation of the line that passes through points A and B.
Answer:
[tex]y=2x+5[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-3,-1) and (1,7)
[tex]m=\frac{7-(-1)}{1-(-3)}\\m=\frac{7+1}{1+3}\\m=\frac{8}{4}\\m=2[/tex]
Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=2x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=2x+b[/tex]
Plug in one of the given points and solve for b
[tex]7=2(1)+b\\7=2+b[/tex]
Subtract 2 from both sides to isolate b
[tex]7-2=2+b-2\\5=b[/tex]
Therefore, the y-intercept is 5. Plug this back into [tex]y=2x+b[/tex]:
[tex]y=2x+5[/tex]
I hope this helps!
see the picture please!!
Answer:
the first one its true
y of A greater than the y of B
A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 35 of the salads sold were Caesar salads, how many total salads did the restaurant sell?
Answer:
50
Step-by-step explanation:
From the circle graph :
Salad sold :
Caesar = 70%
Garden = 16%
Taco = 14%
If 35 of the salad sold were Caesar ;
Then ; this means
70% = 35
Total salad sold %= (70+16+14)% = 100%
Let total sales = x
70% = 35
100% = x
Cross multiply :
70% * x = 100% * 35
0.7x = 35
x = 35 / 0.7
x = 50
Find the value of x to the nearest tenth.
Answer:
x = 3
Step-by-step explanation:
Remark
Find the hypotenuse of the triangle. That is also the length of the rectangle.
Then use Pythagoras to find x.
Givens and solution
two sides of the triangle both = to 6
Find the base of the triangle which is also the length of the rectangle. Call the base = y
6^2 + 6^2 = y^2
36 + 36 = y^2
y^2 = 72
sqrt(y^2) = sqrt(72)
y = 8.4853
Transfer x to the opposite side of the rectangle.
x^2 = diagonal^2 - y^2
x^2 = 9^2 - y^2
x^2 = 81 - 72
x^2 = 9
sqrt(x^2)= sqrt(9)
x = 3
Nguyên Lý kế Toán 2
mong mọi người giúp đỡ
Step-by-step explanation:
Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not divisible.
There were 3450 previously owned homes sold in eastern Washington in the year 2010. The distribution of the sales prices of these homes was as strongly right-skewed with a mean of $406,274 and a standard deviation of $49,981. If all possible simple random samples of size 200 are drawn from this population and the mean is computed for each of these samples which of the following describes the sampling distribution of the sample mean?
a. Right skewed with mean of $406,274 and standard deviation of $49,981.
b. Approximately normal with mean $406,274 and standard deviation$249
c. Approximately normal with mean of $406,274 and standard deviation of $49,981.
d. Right skewed with mean of $406,274 and standard deviation $3534
e. Approximately normal with mean of $406,274 and standard deviation $3534
Answer:
e. Approximately normal with mean of $406,274 and standard deviation $3534
Step-by-step explanation:
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean 'μ' and standard deviation 'σ' , the sampling distribution of the sample means with size 'n' can be approximated to a normal distribution with mean 'μ' and standard deviation s= σ / √n .Given,The distribution of the sales prices of these homes was as strongly right-skewed with a mean of $406,274 and a standard deviation of $49,981 & Sample of Size 200 Are Drawn .
Now, By the Central Limit Theorem, the approximately normal Mean is $406,274 .
And,
Standard deviation ⇒ s= σ / √n ⇒ $49981 / [tex]\sqrt{200}[/tex]
⇒ $49981 / 10×√2 ⇒ $4998.1 / √2 ⇔ $3534.72 ≈ $3534
Write the equation of the line passing through the point (−3,−4) that is perpendicular to y=8/3x+5.
Answer:
y = -3/8x -41/8
Step-by-step explanation:
Perpendicular lines intersect at 90° and their slopes are opposite reciprocals.
Therefore the slope changes from 8/3 to -3/8.
Now we must solve for the new y-intercept (b) by plugging in the given coordinate (-3,-4).
The result is b = -41/8 so our new equation is:
y = -3/8x -41/8
if I buy a dozen cupcakes for $16.80, How much will 16 cupcakes cost.
Answer:
i aint gon lie evolution and natural selection?
Step-by-step explanation:
Ms. Garcia watched 6 commercials
during a 24-minute program. At that rate, how many
commercials would she watch in an hour?
Answer:
15 commercials
Step-by-step explanation:
6 commercials --> 24 minute
x commercials --> 60 minute(1 hour)
x*24 = 6*60
clear x
x = (6*60)/24
x= 15
the ratio of the following 30 minutes to 2 hours.
Answer:
30 minutes to 120 minutes.
Step-by-step explanation:
Answer:
2 hrs=120 min
30:120=1:4
Step-by-step explanation:
ans is 1:4
marke brainliest plzzzzzzz
You purchase a painting for 9,000 that has an appreciation rate of 12%. What is the growth
factor?
Answer:
Step-by-step explanation:
Answer:
$1080
Step-by-step explanation:
I think I am not sure
Which type of correlation does the scatter plot show
Answer:
D
Step-by-step explanation:
From the given scatter plot, it is positive correlation.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
Interpretation of correlation
A scatter plot with increasing values of both variables can be said to have a positive correlation. A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.From the given graph,
The coordinates points are in increasing order.
Therefore, the correlation is positive.
To learn more about the scatter plot visit:
https://brainly.com/question/29231735.
#SPJ6
There are five nickels and four dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. Both coins are nickels.
X 5.2.24-E Question Help Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes. If 15 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes. The probability is (Type an integer or decimal rounded to four decimal places as needed)
Answer:
Step-by-step explanation:
la probabilidad es del 60%
i need help on this one please help! (listing BRAINLIST and giving points) :D
Answer:
2
Step-by-step explanation:
The larger triangle is a scaled version of the smaller one since all the angles are the same. Just the sides are different.
All angles are same: vertical angles are the same, right angles in both triangles, the last angle in both triangles have to be the same if the other angles were the same.
The side proportions are the same.
x/2.5 = 6/7.5
solve for x:
7.5x = 15
x = 2
What term number will have 400 square in it?
Answer:
400^2 = 160 000
Step-by-step explanation:
The square of a number means the product of a number by itself, while the perfect square ... For example, the number 9 is a perfect square because it can be expressed as a product of ... A square football pitch has a perimeter of 400 meters.
singh works at a restaurant where he is paid by the hour plus time and a half for his hours over 40. last week he worked four hours overtime and his gross pay was $391.00. What is his hourly wage
Answer:
$8.5 per hour
Step-by-step explanation:
Number of overtime hours = 4 hours
Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours
Total amount earned = $391
Let Hourly pay = x
Overtime pay = 1 1/2x = 3/2x
Therefore ;
40x + (4*3/2x) = 391
40x + 6x = 391
46x = 391
x = 391 / 46
x = 8.5
Hourly pay = $8.5 per hour
Please look Below!!!!
(No links) Please explain.
Answer:
The surface area of the cylinder is about 954.56 square inches.
Step-by-step explanation:
The total surface area of a cylinder is given by the formula:
[tex]SA=2\pi r^2 + 2\pi rh[/tex]
Here, we are given that the radius is 8 inches and that the height is 11 inches. We are also using 3.14 for π. So, substitute:
[tex]SA\approx 2(3.14)(8)^2+2(3.14)(8)(11)[/tex]
Use a calculator:
[tex]SA\approx 954.56\text{ in}^2[/tex]
The surface area of the cylinder is about 954.56 square inches.
PLEASE HELP ME!!!
A bag contains 10 marbles. Four of
them are red, three blue, two white,
and one yellow. A marble is drawn at
random. What is the probability that it
is not white? Be sure to reduce.
[? ]
Answer:
4/5
Step-by-step explanation:
There are a total of 10 marbles. Out of those 10 marbles, 8 of them are NOT white. Therefore, the probability of getting a marble that is not white is 8/10 = 4/5.
The probability that a randomly drawn marble is not white is 4/5.
To find the probability that a randomly drawn marble is not white, we need to determine the number of non-white marbles and divide it by the total number of marbles.
In the given bag, there are 10 marbles in total, and 2 of them are white. Therefore, there are 10 - 2 = 8 non-white marbles.
The probability of drawing a non-white marble can be calculated as:
Probability = Number of non-white marbles / Total number of marbles
= 8 / 10
= 4 / 5
Therefore, the probability that a randomly drawn marble is not white is 4/5.
Learn more about the probability here:
brainly.com/question/11234923
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if the mean of a &n B is 20. the mean of B&C is 24 and the mean of AB&C is 18. what is the mean of A&C?
Answer:
below
Step-by-step explanation:
that is the procedure above
Complete the problems in measurements. Show answers in simplest terms.
b. Allan has 5 boxes of baseballs. Each box contains 2 dozen balls. He wants to divide the balls between 6 teams. How many balls will each team receive?
Answer:
20 balls to each team
Step-by-step explanation:
If 5 boxes contains 2 dozens
And 2 dozens= 24
Multiply boxes by dozens of balls
5×24=120
Then to share, you divide it buy the number of teams
120÷6= 20 balls
The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).
Answer:
x+5+\frac{1}{x-2}
X + 5 + 1/( x - 2)
Step-by-step explanation:
I would recomend using Symbolab to help you understand math like this in an easy step-by-step manner. It will take a while to explain so you can see how to solve these problems through that!
Find the values of x,y and z
Step-by-step explanation:
x = 180-106 = 74°
y = x/2 = 74/2 = 37°
4z+6 =106
4z = 100
z = 25°
Equivalen
What number could replace t below?
1/3 t/6
Answer:
[tex]{ \tt{ \frac{1}{3} = \frac{t}{6} }} \\ \\ { \tt{t = \frac{6}{3} }} \\ \\ { \bf{t = 2}} \\ { \tt{2 \: could \: replace \: t}}[/tex]
What does factoring a polynomial involve?
Answer:
ANSWER BELOW↓
Step-by-step explanation:
Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication. We have seen several examples of factoring already. However, for this article, you should be especially familiar with taking common factors using the distributive property.
If x is an integer that satisfies the inequality −4≤2x≤6 , then
Answer:
Option C. 3
Step-by-step explanation:
4 < 2x <= 6
x = 3
please answer this thank you
Answer:
diameter [d]=15cm
radius [r]=7.5cm
slant height be l
and
height be h.
lateral surface area of cone =
πrl=477cm²
l=477/(3.1416*7.5)
l=20.244
now
h=[tex]\sqrt{20.2²-(7.5/2)²}=20cm[/tex]
height=20cm.
LSA of cone = πrl = 477cm²
L = 477/(3.1416 × 7.5)
L = 20.244
Height (h) = √{20.2²-(7.5/2)²}
h = 20cm
cos(34) = 8/j i need the answer of the question
Answer:
j = 9.65
Step-by-step explanation:
[tex]\frac{8}{cos(34)}[/tex] = j
j = 9.649743588... (round as needed)
help plz...
what are the missing proof
A. Substitution; converse of diagonals theorem
B. Sum of interior angles; converse of opposite angles theorem
C. Substitution, converse of opposite angles theorem
D. Sum of interior angles; converse of diagonals theorem
I think it's between B and C
Answer:
B. Sum of interior angles; converse of opposite angles theorem
Step-by-step explanation:
In statement 1, all the interior angles of the quadrilateral are added to give a sum of 360°. The reason would therefore be "sum of interior angles".
As a follow up to the already established fact that the opposite angles of the quadrilateral are congruent to each other, this satisfies the Converse of Opposite Angles Theorem, which states that if the opposite angles of a quadrilateral are congruent to each other then the quadrilateral must be a parallelogram.
Reason for the statement in number 6 is definitely "converse of opposite angles theorem."
The following set of data represents the ages of the women who won the Academy Award for Best Actress from 1980 - 2003:
31 74 33 49 38 61 21 41 26 80 42 29
33 35 45 49 39 34 26 25 33 35 35 28
Make frequency table using # of classes as per the following criteria:
i) if you are born in Jan, Feb, Mar: No of classes = 5
ii) if you are born in Apr, May, Jun: No of classes = 6
Answer:
Step-by-step explanation:
Given the data :
Using 6 classes :
Class interval ____ Frequency
21 - 30 _________ 6
31 - 40 _________ 10
41 - 50 _________ 5
51 - 60 _________ 0
61 - 70 _________ 1
71 - 80 _________ 2