2.99 rounded to the nearest cent
In triangle RST the vertices have coordinates of R(-1,10),S(5,4)and T (-4,-2). If the midpoints of side RS and RT were connected with a segment, what would the slope of this segment be?
Plz helppp
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Midpoint of a line segment joining points [tex](x,y)[/tex] and [tex](u,v)[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2} )[/tex]
Points are R(-1,10),S(5,4)and T (-4,-2).
Midpoint of RS = [tex](\frac{-1+5}{2},\frac{10+4}{2} )=(\frac{4}{2},\frac{14}{2} )=(2,7 )[/tex]
Midpoint of RT = [tex](\frac{-1-4}{2},\frac{10-2}{2} )=(\frac{-5}{2},\frac{8}{2} )=(\frac{-5}{2},4)[/tex]
Slope of a line joining points [tex](a,b)[/tex] and [tex](c,d)[/tex] is given by [tex]\frac{d-b}{c-a}[/tex]
Slope of line joining midpoints of side RS and RT = [tex](\frac{4-7}{\frac{-5}{2}-2 })=(\frac{-3}{\frac{-9}{2} })=\frac{2}{3}[/tex]
Select the equation that has a = 1 1/2 as its solution.
Answer:
1445
Step-by-step explanation:
hey
[tex]4\frac{1}{6} +a=5\frac{2}{3}[/tex] is the equation that has a=[tex]1\frac{1}{2}[/tex] as its solution.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
we need to find the equation which gives a=[tex]1\frac{1}{2}[/tex]
Convert the mixed fraction to the improper fraction
a=3/2
[tex]4\frac{1}{6} +a=5\frac{2}{3}[/tex]
Convert the mixed fraction to the improper fraction
25/6+a=17/3
Now take the variable on one side and constants on other sides
a=17/3-25/6
LCM of 3 and 6 is 6
a=34-25/6
a=9/6
The numerator and denominator are multiples of 3.
a=3/2
Hence, [tex]4\frac{1}{6} +a=5\frac{2}{3}[/tex] is the equation that has a=[tex]1\frac{1}{2}[/tex] as its solution.
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need help i dont know what I am doing
Answer:
answer below:)
Step-by-step explanation:
Basically, start off by simplifying each pair of numbers.
The first one: [tex]2^{2}[/tex] x 5 = 4 x 5 = 20
The second one: [tex]11^{1}[/tex]= 11
The third: [tex]8^{2}[/tex]-60 = 64 - 60 = 4
Now from least to greatest, so that would be 4, 11, 20 or in this case it would then be [tex]8^{2}[/tex]-60, [tex]11^{1}[/tex], [tex]2^{2}[/tex] x 5
Hope it helped, good luck!!
Find the factors of the equation a² + 8a + 16.
(it's urgent)
Answer:
(a+4)^2
Step-by-step explanation:
Answer:
hope help you stay happy
Enter the value of x that makes the equation 5+3x-37=6x+23-8x
Answer:
x=-7
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
5+3x-37=6x+23-8x
add like terms
-32+3x=-2x+23
add 2x to both sides
-32+3x+2x=23
add 32 to both sides
3x+2x=23+32
add like terms
5x=55
divide by 5 on both sides
x=11
The number 160 is increased by 50%. The result is then decreased by 25%. What is the final number?
The final number is what?
Answer:
60
Step-by-step explanation:
50%=.50
160×.50=80
160+80=240
25%=.25
240×.25=60
60 is the final number
What is the measure of < c in quadrilateral ABCD?
Answer:
the sum of interior angles of a quadrilateral = 360 degree
Step-by-step explanation:
therefore,
let the angle C be X
124 + 96 + 94 + X = 360
314 + X = 360°
X = 360 - 314 = 46°
angle C = 46°
Answer:
46 degrees
Step-by-step explanation:
Which of the following is a perfect square?
A.) 115
B.) 169
C.) 154
D.) 279
Answer:
B (169)
Step-by-step explanation:
Complete the number sentence to solve. Eight girls share 7 sandwiches equally. How many sandwiches does each girl get? 7 ÷ = Each girl's share is of a sandwich.
Answer: Each girl gets 7/8 or 0.875 of the sandwich .
Step-by-step explanation:
Number of sandwiches = 7
Number of people to share = 8
Therefore Each girl gets = 7 ÷ 8= 7/ 8
Each girl gets 7/8 or 0.875 of the sandwich .
Find the equation of the line between the points (10, – 5) and ( - 2,0).
Answer (assuming it can be in slope-intercept form):
[tex]y = -\frac{5}{12} x-\frac{5}{6}[/tex]
Step-by-step explanation:
1) First, find the slope of the line between the two points by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:
[tex]m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}[/tex]
Thus, the slope of the line is [tex]-\frac{5}{12}[/tex].
2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{5}{12}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:
[tex]y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}[/tex]
Larry looked at the clock. It was 9:45 p.m. The bus for his class trip leaves at 8:30 am. How many hours and minutes are there until the bus leaves?
Answer:
There are 10 hours and 45 minutes until the bus leaves.
Answer:
In between the 10pm to 8 am =10 hours
In between the gap of 9:45 to 10 pm =15 min left
In between 8 and 8:30 am =30 min left
So 10hr and 45 min is the answer
There are 42 students in a class.
Each student walks to school or cycles to school or gets the bus to school.
There are 23 girls in the class.
10 of the girls walk to school.
6 of the boys cycle to school.
7 of the 11 students who get the bus to school are boys.
Find the number of these students who walk to school.
Your final line must say, Number who walk to school = ...
Answer:
15 students walk to school
Step-by-step explanation:
42 - total students
42 - 23 = 19
----
23 girl students
19 male students
----
19 - 6 = 13
13 - 2 = 11
--
11 - 7 = 3
3 + 2 = 5
--
10 girls walk to school
5 boys walk to school
--
10 + 5 = 15
Help! I don’t understand.
Answer:
n exponent 5
Step-by-step explanation:
Answer:
[tex]n ^{5} [/tex]
inequalities Calculator weeb
The school board claims that 85% of the over 1,600 families with children in their district send their
children to public school. Skeptical of this claim, a private school administrator takes a simple random
sample of 120 families with children in the district and asks them whether they send their children to
public school.
Assuming the school board's claim is correct, what is the probability that the administrator's results are
within 5 percentage points of the school board's 85% claim?
Answer:
P(0.8< p ^ <0.9)≈0.87
Step-by-step explanation:
trust me
The probability that the administrator's results are within 5 percentage points of the school board's 85% claim is approximately 0.919.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
To find the probability that the administrator's results are within 5 percentage points of the school board's 85% claim, we need to find the probability that the sample proportion of families sending their children to public school is between 80% and 90%.
We can use the normal approximation to the binomial distribution to calculate this probability. Since the sample size is large (n = 120) and the population proportion is not too close to 0 or 1 (p = 0.85), we can use the normal approximation.
The mean of the sampling distribution is the population proportion, which is 0.85 in this case. The standard deviation of the sampling distribution is given by the formula:
SD = √((p × (1 - p)) / n)
Plugging in the values, we get:
SD = √((0.85 (1 - 0.85)) / 120)
= √(0.01225 / 120)
= √(0.0001010417)
= 0.0101
Now we can use the normal distribution calculator to find the probability that the sample proportion is between 0.80 and 0.90. Plugging in the mean (0.85) and standard deviation (0.0101) and the upper and lower limits (0.80 and 0.90), we get a probability of 0.919.
Therefore, the required probability is approximately 0.919.
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What is the product?
(3x-6) (2x^2-7x+1)
Answer: c
Step-by-step explanation:
Edge 2021
TJ averages being the imposter 2 times every 5 games of Among Us. How many games does he have to play to be the imposter ones?
Answer:
10
Step-by-step explanation:
area of a circle with a diameter of 4cm
Answer:
A≈12.57cm²
Step-by-step explanation:
A=1
4πd2=1
4·π·42≈12.56637cm²
Answer:
area of a circle with a diameter of 4cm=π(d/2)²
=π(4/2)²=π2²=4π cm ² is your answer or 4×3.16=12.48 cm²
A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?
Answer:
The length has increased by a factor of 4/3 or 1 1/3
Step-by-step explanation:
To find the initial length.: root 36.
Root 36 = 6
Then to find the increased version, first find the area: 36 + 28 = 64
Now, the length.
Root 64 = 8
To find the factor it increased by:
6x = 8
x = 8/6 = 4/3
The length has increased by a factor of 4/3 or 1 1/3
What is the GCF?
6x² + 24x
Answer:
6x
6x(x + 4)
Step-by-step explanation:
Both 6x^2 and 24x are divisible by 6x
Which set of ordered pairs represents y as a function of x?
30 [tex]30\geq 5[/tex]
$750 at 6% for 18 months
Answer:
The interest is $1242.734 and the amount is $13242.734.
Step-by-step explanation:
STEP 1: Convert interest rate of 1.5% per month into rate per year.
STEP 2: Convert 210 days into years.
STEP 3: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example P = $12000, i = 18% and t = 0.57534 years, so
STEP 4: Find an amount by using the formula .
Since P = $12000 and I = $1242.734 we have
Can some one answer this?
9514 1404 393
Answer:
(c) 2
Step-by-step explanation:
A graph shows the zeros are -5, -3, 0, 2. Of these, only 2 is on your list.
2 is a zero of the expression
as a town gets smaller the population of its high school decreases by 5% each year. The senior class has 160 students now. In how many years will it have about 100 students? Write an equation. Then solve the equation without graphing. Write an equation to represent the situation. Let n be the number of years before the class will have 100 students.
Answer:
T_n = 160(0.05)^(n - 1)
At T_n = 100, n = 1 year
Step-by-step explanation:
We will use geometric progression to solve this question.
Formula for nth term of a GP is;
T_n = ar^(n - 1)
We are told the population of its high school decreases by 5% each year.
This means r = 0.05
senior class has 160 students. Thus a = 160
Thus,T_n = 160(0.05)^(n - 1)
Where n is number of years after now.
We want to find the number of years before the class will have 100 students
Thus;
160(0.05)^(n - 1) = 100
(0.05)^(n - 1) = 100/160
(n-1)In 0.05 = In (100/160)
-2.9957(n - 1) = -0.47
(n - 1) = 0.47/2.9957
n = 1 + 0.1569
n = 1.1569
Approximating to the nearest whole number gives n = 1
Find the product of 2/3 and 9/10
Answer:
3/5
Step-by-step explanation:
PLZ MARK AS BRAINLIEST
To find the product of 2/3 and 9/10, multiply the numerators and denominators together: [tex]\frac{2}{3} * \frac{9}{10} = \frac{18}{30}.[/tex] This simplifies to [tex]\frac{3}{5}[/tex], which is the answer.
Help please I do not get this problem at all
Answer:
It should be 4. The ratio that AC is equal to DE at should be equal to the ratio of BE to BC. If you want an explanation I'd be happy to add one!
I have a question. It is: 5x+2y=4 3x+6y=-12 Solve the system of equations by graphing. How do I input that on a Casio graphing calculator. Giving brainliest if it works. Thanks!
Answer:
Step-by-step explanation:
[1] 5x + 2y = 4
[2] 3x + 6y = -12
Graphic Representation of the Equations :
2y + 5x = 4 6y + 3x = -12
// Solve equation [2] for the variable y
[2] 6y = -3x - 12
[2] y = -x/2 - 2
// Plug this in for variable y in equation [1]
[1] 5x + 2•(-x /2-2) = 4
[1] 4x = 8
// Solve equation [1] for the variable x
[1] 4x = 8
[1] x = 2
// By now we know this much :
x = 2
y = -x/2-2
// Use the x value to solve for y
y = -(/2)(2)-2 = -3
A mattress 39 inches wide×80 inches long× 11 inches high. How many will fit in a 30 yard dumpster at 8 feet wide × 22 feet long × 6 feet high. It holds 30 cubic yards of waste.
.7 pls :P need this so I don’t fail math
Answer:
B
Step-by-step explanation:
distribute 1/2 into 2x and 4, if both sides match then its infinitely many solutions !