Answer:
8 and 6
Step-by-step explanation:
If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.
You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.
The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.
Next, we add 10 to both sides. This gives 8x=64.
From there, we isolate the x by dividing both sides by 8, giving x=8.
To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).
This comes to y=8-2, therefore y=6.
**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!
The point in the middle of the coordinate plane is called the
Answer:
Origin
Step-by-step explanation:
The point in the middle of the coordinate plane is called the origin, this point is ploted as (0,0). The origin seprates all four quadrants in a coordinate plane.
Hope this helps:
Nathan
Can someone help me? It's urgent and thank you!
Answer:
35
Step-by-step explanation:
To find this, we are going to use the combination formula as follows;
nCr = n!/(n-r)!r!
In this case, n = 7 and r = 3
Substituting these values;
7C3 = 7!/(7-3)! 3! = 7!/4!3! = 35
Please answer this question-
first, you arrange all the numbers in ascending sequence, you should get:
62, 64, 65, 65, 67, 68, 68, 69, 69, 69, 70, 70, 70, 71, 71, 71, 73, 72, 72, 73
yes and now you can see there are 20 values all arranged in ascending order. from here, you find the 2 middle values since it is an even number.
it should be value 10 and 11 which is number 69 and 70
now you find the average which is:
[tex]\frac{69+70}{2}[/tex] = 69.5
so your center value is 69.5.
Find the exact value of sin2Θ if tanΘ=[tex]\frac{-2\sqrt{5} }{5}[/tex] and 90 < Θ < 180.
Answer:
[tex]sin 2 \theta = \frac{4 \sqrt5}{9}[/tex]
Step-by-step explanation:
Identities used :
[tex]1. sin^2 \theta = 1 - cos^2\theta\\\\2. tan^2 \theta + 1 = sec^2 \theta\\\\3.cos \theta = \frac{1}{sec \theta} \\\\4. sin 2 \theta = 2 sin\theta cos\theta[/tex]
[tex]Given \ tan \theta = -\frac{2 \sqrt5}{5}\\[/tex]
[tex]we \ know \ tan ^2 \theta + 1 = sec^2\theta[/tex]
[tex](-\frac{2 \sqrt 5}{5})^2 + 1 = sec^2 \theta\\\\\frac{4 \times 5}{25 } + 1 = sec^2 \theta \\\\\frac{20 + 25}{ 25} = sec^2 \theta \\\\\frac{45}{25} = sec^2 \theta \\\\sec \theta = \sqrt{ \frac{45}{25}}\\\\sec \theta = \sqrt{ \frac{9 \times 5}{5 \times 5}} \\\\sec \theta = \frac{3 \sqrt {5}}{5}\\\\[/tex]
[tex]We \ know \ cos \theta = \frac{1}{ sec \theta}[/tex]
[tex]So , \cos \theta = \frac{5}{3 \sqrt5}[/tex]
[tex]Next \ sin^2 \theta = 1 - cos^2 \theta[/tex]
[tex]= 1 - (\frac{5}{3 \sqrt5})^2\\\\=1 - \frac{25}{9 \times 5}\\\\=1 - \frac{25}{45}\\\\=\frac{45 - 25}{45}\\\\=\frac{20}{45}\\\\=\frac{4}{9}[/tex]
[tex]sin \theta = \sqrt{ \frac{4}{9}} = \frac{2}{3}[/tex]
[tex]Find \ sin 2 \theta[/tex]
[tex]sin 2 \theta = 2 (sin \theta \times cos \theta)[/tex]
[tex]= 2 \times \frac{2}{3} \times \frac{5}{3\sqrt5}\\\\= \frac{4 \times \sqrt5 \times \sqrt5}{9 \times \sqrt 5}\\\\=\frac{4 \sqrt5}{9}[/tex]
answer all the questions, just the answers, it's pythagorean theorem, plssss helpppp
Answer:
1. option c
2. option b
3. option b
Step-by-step explanation:
1 . option C
Square of longer side = sum of squares of other side
a)
5, 6 , 11
[tex]121 = 25 + 36\\does\ not \ satisfy[/tex]
b)
9, 12, 16
[tex]256 = 144 + 81\\Does\ not \ satisfy[/tex]
c)
7, 24, 25
[tex]625 = 576 + 49\\Does\ satisfy[/tex]
d)
12, 20, 25
[tex]625 = 400 + 144\\does \ not \ satisfy[/tex]
2. Option B
Square of longer side = sum of squares of other side
15 ² = 8 ² + r²
225 = 64 + r²
161 = r²
r = 12.688
r = 13ft
3 . Option b
To find length of AB, Use distance formula
[tex]AB = \sqrt{(x_2- x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]= \sqrt{(14-3)^2 + (6-1)^2}\\\\=\sqrt{11^2 + 5^2}\\\\=\sqrt{121 + 25}\\\\= \sqrt{146} \\= 12 \ ft[/tex]
A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y?
A. The value of x can be any real number, and y will be a real number.
B. The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0.
C. The value of x can be any integer, and y will be an integer.
D. The value of x can be any integer greater than or equal to 0, and y will be an integer greater than or equal to 0.
Answer:
Step-by-step explanation:
A?
6. Tumigil si Jasmin ng 150 araw sa Taguig City dahil naabutan siya ng travel ban. Ilang buwan siya nanatili roon? *
Point of intersection Question:
Mike has $9.85 in dimes and quarters. If there are 58 coins altogether,
how many dimes and how many quarters does Mike have? Use the point of intersection to find the answer. Explain how you used a formula to calculate the # of quarters and dimes
Answers:
He has 27 quarters and 31 dimes
=========================================================
Work Shown:
d = number of dimes
q = number of quarters
d+q = 58 since there are 58 coins of only these two types
d = 58-q
10d+25q = 985 .... note that 985 cents is $9.85
10(58-q)+25q = 985 .... replace d with 58-q
580-10q+25q = 985
15q+580 = 985
15q = 985-580
15q = 405
q = 405/15
q = 27 ..... Mike has 27 quarters
d = 58-q
d = 58-27
d = 31 .... Mike also has 31 dimes
-----------
As a way to check:
d+q = 31+27 = 58 so that works out
and
10d+25q = 10*31+25*27 = 310+675 = 985
so that works out as well. The answer is confirmed.
Enter the value of x so that the expression (1.8a−5.7)+(xa+3.2) is equivalent to −1.6a+2.5.
Answer:
That would be 11.4
Step-by-step explanation:
i've done this before
For what values of x and y must this quadrilateral
be a parallelogram? Find the lengths of the sides.
The diagram is not to scale.
9x
2x+4
4y+24
4y
Giving bru list again
Answer:
8
The missing digit is going to be eight, because if we are rounding to the nearest tenth the 3 won't change anything.
Step-by-step explanation:
Have a nice day! :-)
Answer:
8
Step-by-step explanation:
because the 8 is on the tenths place and with three in the hundredths place I can't round up
Evaluate 5-|-6|
1
11
-1
Step-by-step explanation:
(-) + (-) = (+)
=........ +1
Answer:
-1
Step-by-step explanation:
Which values are solutions to the inequality below?
Check all that apply.
x²<=64
O A. 9
O B. 5
O C. -3
O D. -8
O E. -14
O F. 8
Answer:
B and C
Step-by-step explanation:
B is correct because 5² is 25, which is less than 64
C is correct because (-3)² is 9, which is less than 64
Answer:
b c d f
Step-by-step explanation:
-8 ≤ x ≤ 8
Convert 23cm2 into mm2
Answer:
2300 mm^2
Step-by-step explanation:
a + b3 - a ; a = 3, b = 2
Answer:
8
Step-by-step explanation:
a + b^3 - a
Simplify
b^3
Let b=2
2^3
8
Answer:
11
Step-by-step explanation:
If a = 3, and b = 2, then;
=> a + b³
=> 3 + 2³
=> 3 + 8
=> 11
Hope this helps!
Can someone please help me out with this question
Answer:
C.
Step-by-step explanation:
What is the surface area of the right cylinder below?
18
A. 1194 sq. units
B. 880 sq. units
C. 3104 sq. units
D. 1759 sq. units
The surface area of the cylinder is 1759 sq units.
What is surface area?The surface area is the total area covered by all the faces of a 3D object. It is always measured in square units.
Given that a cylinder with radius 10 units and height is 18 units, we need to determine the surface area of the cylinder,
The surface area of the cylinder = 2π × radius × (height + radius)
= 2 × 3.14 × 10 × (18+10)
= 1759
Hence, the surface area of the cylinder is 1759 sq units.
Learn more about surface area, click;
https://brainly.com/question/29298005
#SPJ7
whats the answer to this
Answer:
its the 2nd one
hope that helps<3
Answer:
jhkkkhj
Step-by-step explanation:
jkjkjkjkj
Use the drop-down menus to correctly relate each pair of numbers
manee help meh son
Answer:
Sorry for the late response, I had to have lunch.
1. >
2. =
3. <
4. >
Step-by-step explanation:
Have a great summer :)
A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. Each small box of paper weighs 50 pounds
and each large box of paper weighs 80 pounds. A total of 19 boxes of paper were
shipped weighing 1280 pounds altogether. Determine the number of small boxes
shipped and the number of large boxes shipped.
Answer:
16 boxes large
Step-by-step explanation:
if the weigth is 1280 wilhich means its 1280÷80 =16
Oliver is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Oliver have to pay for parking if he left his car in the lot for 3 hours? How much would Oliver have to pay if he left his car in the lot for tt hours?
Answer:
A. 20
B. 11 + 3tt
Step-by-step explanation:
A. 11 + 3(3) = 20
B. 11 + 3(tt)
In a right triangle, sin(40 - 2) = cos(32)'. What is the value of x?
O 10
O 15
O 20
O 25
Answer:
x = 25
Step-by-step explanation:
Correct question
In a right triangle Sin (40-x)=cos(3x) what is the value of x
Since Sin theta = Cos(90-theta)
Sin (40-x) = Sin(90-3x)
40 - x = 90 - 3x
-x+3x = 90 - 40
2x = 50
x = 25
Hence the value of x is 25
Someone pleaseee help!!!
8th grade
Answer:
[tex] \frac{1}{1000} [/tex]Step-by-step explanation:
[tex] {10}^{ - 3} [/tex]
[tex] \frac{1}{ {10}^{3} } [/tex][tex] \frac{1}{1000} [/tex]Hope it is helpful...Find the IQR: (find the median, then find the median of the first group and then the next group. Now subtract big median minus the small median.) 20, 17, 16, 3, 7, 45
Answer:
13
Step-by-step explanation:
The IQR = Interquartile Range is the difference between the first and third quartile
Rearranged data set:
3, 7, 16, 17, 20, 45
Step 1
We find the first quartile = Q1
= 1/4(n + 1)th number
n = 6
= 1/4(6 + 1)th
= 1/4(7)th
= 1 3/4th number
This = 7
Step 2
We find the third quartile = Q3
= 3/4(n + 1)th number
n = 6
= 3/4(6 + 1)th
= 3/4(7)th
= 21/4th number
= 5 1/4 th number
This = 20
Step 3
IQR = Q3 - Q1
= 20 - 7
= 13
2160 as a product of its prime factors using indices
Answer:
2⁴ × 3³ × 5
Step-by-step explanation:
By prime factorisation,
→ 2160 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5
→ 2160 = 2⁴ × 3³ × 5
decompose 17x^3+7x^2-17x-7 divided by (x-1)^2(x+1)^2 into partial fraction
..........................................................................................................................................................................................................................................................................................................................................................................................................................................................
NEED HELP ASAP Let the function f(x) have the form f(x) = Acos(x+C). To produce a graph that matches the one shown below, what must the value of C be?
Answer:
[tex]C = 2[/tex] (A)
Step-by-step explanation:
We assume the constant A is different than 0
We notice that the graph of the function intercepts the x-axis when x = -0.5
we know that cos(x) = 0 when x = π/2 or x = -π/2
thus, [tex]-0.5 + C = \pi /2[/tex] or [tex]-0.5 + C = -\pi /2[/tex]
then [tex]C = \pi /2 + 0.5 = 2[/tex] or [tex]C = -\pi /2 = 0.5 = -1[/tex]
so [tex]C = 2[/tex]
hello i need help with these questions attached.
Answer:
Beep
Step-by-step explanation:
Help me please i will give brainliest top one says find the mean
Answer:
1. 6
2. 3, 10
3. 7
4. 95%
5. 7.5
6. (I assume the chart is the same as the one above) 8
7. 8
8. 4
Step-by-step explanation:
Have a great summer :)
Answer:
Step-by-step explanation
to find median u ned to arrange the data from ascending to descending order
Data=3,3,4,5,6,7,9,10,10
Median=N+1/2 (N means no of data)
=9+1/2
=10/2
=5 th term
=6
Mode is 3 and 10 because they repeats maximum number of time.
range=largest value-smallest value
=10-3
=7
average =sum of data/no of data
=100+91+96+93/4
=380/4
=95
therefore average is 95.
i would like help in this question
Answer:
T = 3.5m
T is trash in pounds
m is members of family
Step-by-step explanation:
