Answer:
Step-by-step explanation:
-2x - 6 = 2 - 4x - x + 1
-2x - 6 = 3 - 5x
3x - 6 = 3
3x = 9
x = 3
A pool of possible jurors consists of 15 men and 14 women. How many different juries consisting of 5 men and 7 women are possible?
Answer:
6
Step-by-step explanation:
Um so what I did was 15/5=3 and 14/7+2
So for the first group of men, 2 groups. TIMES 3.
Equals 6 options
Find the missing angle measurments geometry
Answer:
?????????
Step-by-step explanation:
wheres the equation
!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer!
Answer:
I'm not going to lie I'm not 100% sure but I think it's c
Answer:
D
Step-by-step explanation:
4x=4+2y
3y=5+2x
You deposit $1,500 in an account earning 2.75% simple interest. How long will it take for the
balance of the account to be $1,995.
Answer:
12 years if interest is paid yearly
12 months if interest is paid monthly
Step-by-step explanation:
2.75% of $1500 is $41.25 interest per period
$1995-$1500 = $495 total interest
$495 ÷ $41.25 = 12 periods
Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.
The measure of an angle is 44°. What is the measure of its complementary angle?
If you need more Spad
Pythagorean Theorem. Lights and More Lights
The residents of watson Avenue are decorating their houses for upcoming holidays
They have decided to all string lights around the roofs their houses, How many feet of
lighting does Sarina need if she wants to string lights along roof?
Your work should include:
Length of the roof including formulas used (3 points)
A description of the Pythagorean Theorem (3 points)
Calculations (3 points)
Explanations using math terms (3 points)
If you need more space to show your problem
solving go to th next slide
Answer:
Just convert the number to the third digit and the answer will be b
1) What is the the product of (3x-2)(5 x2 -3x+1)
First multiply the second ( ) with 3x then multiply it with -2 and add them together So
(3x-2)(5x^2-3x+1)
=3x(5x^2-3x+1)+ -2*(5x^2-3x+1)
=15x^3-9x^2+3x -10x^2+6x-2
=15x^3-19x^2+9x-2
Done!
The surface covered by a rectangular field is 375 square yards. The width of the field is 10 yards longer than its length. Using factors, determine the length and the width of the field
Answer:
L= 15
W= 25
Step-by-step explanation:
w(w-10) =375
w^2-10w-375=0
w=25 or -15
Length=25-10 =15
The length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.
What is a rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let L and W be the length and width of the rectangle.
The area of the rectangular field is 375 square yards
W = 10 + L
As we know,
Area = LW
375 = L(10 + L)
375 = 10L + L²
L²+ 10L - 375 = 0
After solving the above quadratic equation:
L = 15 yards
L = -25 (length cannot be negative)
Plug L in the equation W = 10 + L to get the width of the rectangular field
W = 10 + 15
W = 25 yards
Thus, the length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.
Learn more about the rectangle here:
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PLEAAASE HELPP that would be very much appreciated
Answer:
h(x) = (x + 4)^2 - 2
Step-by-step explanation:
Start with the red graph: f(x) = x^2
First we move the entire graph 4 units to the left. The resultant function is g(x) = (x + 4)^2.
Next, we move this latest graph 2 units down. The resultant function (and answer to this question) is h(x) = (x + 4)^2 - 2
What is the solution to the system of equations?
Answer:
Step-by-step explanation:
There is an error in the question. The table does not show two linear functions. y₁ is a linear function, but y₂ is not a straight line. It makes a bend at (-6,1).
Line 1 goes through (-12,-3) and (0,5).
slope = (5-(-3))/(0-(-12)) = 2/3
y-intercept = 5
y₁ = (2/3)x + 5
Line 2 goes through (-12,-2) and (-6,1).
slope = (1-(-2))/(-6-(-12)) = 1/2
y₂ = (1/2)x + 4
(2/3)x + 5 = (1/2)x + 4
x = -6
y = (2/3)x + 5 = 1
Solution: (-6,1)
Solve one of the two problems for x. The answers for both are the same. You are more than welcome to do both to check your answer!
Make sure you round to the nearest tenth if necessary.
Answer:
x = 49
Step-by-step explanation:
Let's solve for x in the first triangle by applying the leg rule.
Leg rule is given as: hypotenuse/leg = leg/part
Hypotenuse = x
Leg = 28
Part = 16
Plug in the values into the equation
x/28 = 28/16
Cross multiply
x*16 = 28*28
16x = 784
x = 784/16
x = 49
✔️Let's check our answer to see if we would get the same value of x for the other triangle. Apply the same leg rule.
Hypotenuse = x
Leg = 21
Part = 9
Thus:
x/21 = 21/9
Cross multiply
x*9 = 21*21
9x = 441
x = 441/9
x = 49
✔️We have the same value. Therefore, x = 49 is the correct answer.
I'd really like the help with these problems please.
Thanks!
Which point is located at (8, 6)? A B C D
Answer: (8, 6) is located at Area A.
Step-by-step explanation:
The first number inside the parentheses can be found on the x-axis. The second on the y-axis.
find the value of the second in this sequence
34 __ 84 109 134
Answer:
the answer is 59
Step-by-step explanation:
your welcome
find the value of the greater root of x^2 + 10x + 24x = 0 a) -6 b) -4 c) 4 d) 6
what formula is applied, I mean what method
Answer:
B
Step-by-step explanation:
We have the equation:
[tex]x^2+10x+24=0[/tex]
We can factor:
[tex](x+6)(x+4)=0[/tex]
By the Zero Product Property:
[tex]x+6=0\text{ or } x+4=0[/tex]
Solve:
[tex]x=-6\text{ or } x=-4[/tex]
-4 is greater than -6, so -4 is the greater root.
Our answer is B.
There are 80 students in the sixth grade at mountain middle school. 64 of these students play sports. What percent of the students play sports?
Answer:
80%
Step-by-step explanation:
80÷64= 0.8
0.8 = 80%
You just need to divide the number of students that play sports by the total number of students and you'll get your answer
Find the area. Simplify your answer.
2x
3x
Answer:
We know,
Area of triangle = 1/2 * b * h
= 1/2 * 2x * 3x
= 1/2 * 6x
= 3x
Hope it helped
All the best !!
The area of the given triangle is 3x².
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given a triangle.
Area of a triangle can be found using the formula,
Area = [tex]\frac{1}{2}[/tex] × base × height
Given,
Base = 3x and height = 2x
So using the formula,
Area = [tex]\frac{1}{2}[/tex] × 3x × 2x
= 3x × x
= 3x²
Hence the area of the triangle is 3x².
Learn more about Area of Triangle here :
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Find the slope of the following graphs
Answer:
Slope = -1
Step-by-step explanation:
The equation we use for slope is as follows:
m = (y2 - y1) / (x2 - x1)
The graph gives us four points, but we only need two to solve our equation: (-2,5) and (2,1)
Now, we need to define which variable goes with which point:
Y2 = 1
X2 = 2
Y1 = 5
X1 = -2
If we plug these into our equation we get the following:
m = (1 - 5) / (2 - -2)
m = (-4) / (-4)
m = -1
Our slope for this graph = -1
I hope this helps!
-TheBusinessMan
3579
How do I write it out to solve the problem
Answer:
three thousand five hundred seventy nine
Step-by-step explanation:
Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.
Help ME and plzz show your work thank you love
The outputs of function are its domain true or false?
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?
Answer:
P(15) = (200,000)(1.08)15 = 634,434
Step-by-step explanation:
If the population at the beginning of 2000 was 200,000
Then the growth equation is P = Po(1.08)(y) where year year 2000 was year 1 or y = 1
At the end of 2015 or 2015-2000 = 15 years later, or at the end of the 15th year
What is the length of s (the height of one of the triangular faces)?
Round your answer to the nearest tenth.
Answer:
s = 16.2 units
Step-by-step explanation:
s^2 = 15^2 + 6^2 (6 is 1/2 of 12)
s^2 = 225 + 36
s^2 = 261
s = 16.16
Decrease £2155.45 by 18.5% then rounded to 2dp
Answer:
18.5%/10×100
185
2155-185
1970
now pls round off cause I don't understand 2dp
Ms. Miller pays her electric and internet bill with South Central Cooperative. Her bill is due on February 22nd, and the balance is (-$156.65). Does she owe any money? Why or why not? Explain your reasoning.
Answer: yes
Step-by-step explanation:
yes because it's nagitve and not positive so that means that so lost money so she got's to give them money back.
which ones belong to SAS, SSS, HL, AAS, ASA or not congruent?
Answer:
1.ASA
2.AAS
3.?
4.ASA
5.SSS
6.SSS
7.ASA
Why was the invention of the mechanical reaper important?
A. The reaper separated cotton fibers from cotton seed much faster than the manual method used earlier.
B. The reaper made it possible to communicate very quickly across a wire.
C. The reaper replaced the old method of sewing clothes by hand.
D. The reaper could cut grain much faster than the older method of harvesting by hand with a scythe.
Answer:
A.) The reaper separated cotton fibers from cotton seed much faster than the manual
method used earlier.
B.) The reaper made it possible to communicate very quickly across a wire.
C.) The reaper replaced the old method of sewing clothes by hand.
D.) The reaper could cut grain much faster than the older method of harvesting by hand
with a scythe.Step-by-step explanation:
a shopkeeper marks the price of a television 30% above the cost price and allow 20% discount . the purchase price of television is Rs 12000. if a customer pays Rs 14102.40 for the TV including vat ,find the vat percent. {Ans 13%}
Answer:
Step-by-step explanation:
cost = 12,000
list price = 1.30×12,000 = 15,600
discounted price = 0.80×15,600 = 12,480
purchase price = (1+VAT)×12,480 = 14,102.40
1+VAT = 14,102.40/12,480 = 1.13
VAT = 0.13 = 13%
The owner of an automobile insures it against damage by purchasing an insurance policy with a deductible of 250. In the event that the automobile is damaged, repair costs can be modeled by a uniform random variable on the interval (0, 1500). Determine the standard deviation of the insurance payment in the event that the automobile is damaged.
Answer:
Step-by-step explanation:
From the given information:
The uniform distribution can be represented by:
[tex]f_x(x) = \dfrac{1}{1500} ; o \le x \le \ 1500[/tex]
The function of the insurance is:
[tex]I(x) = \left \{ {{0, \ \ \ x \le 250} \atop {x -20 , \ \ \ \ \ 250 \le x \le 1500}} \right.[/tex]
Hence, the variance of the insurance can also be an account forum.
[tex]Var [I_{(x}) = E [I^2(x)] - [E(I(x)]^2[/tex]
here;
[tex]E[I(x)] = \int f_x(x) I (x) \ sx[/tex]
[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250) \ dx[/tex]
[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^2}{2} \Big |^{1500}_{250}[/tex]
[tex]\dfrac{5}{12} \times 1250[/tex]
Similarly;
[tex]E[I^2(x)] = \int f_x(x) I^2 (x) \ sx[/tex]
[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250)^2 \ dx[/tex]
[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^3}{3} \Big |^{1500}_{250}[/tex]
[tex]\dfrac{5}{18} \times 1250^2[/tex]
∴
[tex]Var {I(x)} = 1250^2 \Big [ \dfrac{5}{18} - \dfrac{25}{144}][/tex]
Finally, the standard deviation of the insurance payment is:
[tex]= \sqrt{Var(I(x))}[/tex]
[tex]= 1250 \sqrt{\dfrac{5}{48}}[/tex]
≅ 404
The answer to my question that is all I want to know!!
Answer:
118.71$
Step-by-step explanation: