Answer:
x = 30
Step-by-step explanation:
These angles are all supplementary (they all add up to 180) so:
x + 3x + 2x = 180
6x = 180
x = 30
A number is multiplied by 4. That result is added to 12. The final number is 40. What is the original number.
Answer:
3
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
(40-12)/4
28/4
7
What are the coordinates for point D?
Answer:
-3,6
Step-by-step explanation:
If −15 + 3x = −7 + 5x, then 6x =_____?
Answer:
-15+3x=-7+5x
-15+7=5x-3x
-8=2x
-8/2=x
-4=x
6x=6*-4
=-24
Step-by-step explanation:
Answer:
[tex] - 15 + 3x = - 7 + 5x \\ 3x - 5x = - 7 + 15 \\ - 2x = + 8 \\ - x = 4 \\ x = - 4 \\ therefore = \\ 6x = 6 \times ( - 4) \\ 6x = - 24 \\ i \: hope \: this \: was \: helpful[/tex]
I cover a certain distance in 3 hours. If my speed increases by 1/3, why is my travel time not also reduced by 1/3 (so travel the same distance in 2 hours)?
Answer:
t = 2.25 h
Step-by-step explanation:
In the case, I cover distance d in 3 hours
d = 3 * v₁ (1)
In the second case my speed increase by 1/3 then my speed is
v₁ + (1/3) v₁ = (3/3 + 1/3 ) *v₁
my new speed is (4/3) * v₁ and
d = (4/3)*v₁ * t (2)
Dividing (2) by (1) we get
1 = (4/3) *v₁*t/ 3*v₁
1 = (4/9)*t
t = 9/4 h
t = 2.25 h
What is the value of X?
Answer:
16
Step-by-step explanation:
AB = BC
32[tex]\sqrt{2}[/tex] = [tex]\sqrt{2 *AB^{2} } \\ => AB = 32 = BC\\x= BC/2 => x = 32/ 2 = 16[/tex]
Solve the equation by completing the square. Round to the nearest hundredth if necessary.
x2 + 2x = 8
Answer
2
Step-by-step explanation:
(reorder terms)
2x + 2x = 8
collect like terms
4x=8
divide both sides of the equation
x = 2
Problem 3
Anh, Bill and Cathy each think of a positive whole number less than 1000.
• Anh says, My number is bigger than 500 and divides by every integer
from 1 to 10 except for 7.'
• Bill says, "My number divides by every integer from 1 to 10 except
for 9.
• Cathy says, 'You have both done better than me, but I can see that
if we added our three numbers together, the total would divide by
all the numbers from 1 to 10.'
What numbers from 1 to 10 does Cathy's number not divide by?
Answer:
Cathy's number is not divide by 7 and 9
Step-by-step explanation:
Anh’s number is divisible by all numbers from 1 to 10 except 7.
Hence, Anh’s number is 8*9*10 = 720
Bill’s number does not divide by 9, hence his number would be = 3*8*5*7 = 840
The sum of numbers of all three is divisible by all numbers between 1 to10
So the sum number is = 10*9*8*7 = 5040
Number of Cathy = 2520 – 720 -840 = 960
960 is not divisible by 7 and 9
Find the cofunction of the expression with the same value as tan(2pi/11).
Answer:
The cofunction of [tex]\tan \frac{2\pi}{11}[/tex] is [tex]\cot \frac{7\pi}{22}[/tex].
Step-by-step explanation:
In trigonometry, a function is a cofunction of another if and only if [tex]f(A) = g(B)[/tex], where A and B are complementary angles. In this case, the complementary function of a tangent function must be a cotangent function, this is:
[tex]\tan \frac{2\pi}{11} = \cot \left(\frac{\pi}{2} - \frac{2\pi}{11} \right)[/tex]
[tex]\tan \frac{2\pi}{11} = \cot \frac{7\pi}{22}[/tex]
[tex]\tan \frac{2\pi}{11} = \frac{1}{\tan \frac{7\pi}{22} }[/tex]
[tex]0.642 = \frac{1}{1.556}[/tex]
[tex]0.642 = 0.642[/tex]
please help this is due soon
Answer:
-3
Step-by-step explanation:
The number 4 is the plotted point on the y-axis, meaning the next point would be located down 3 and right 1 (-3 over 1) and so on. The rise over run is the m in y=mx+b.
The surveyor sets up the instrument to determine the height at the highest point on the hill. She determines that she is standing at a horizontal distance of 100 m and sights the top of the hill using an angle of 17°. i) Let ‘h' represent the height of the hill and ‘d' represent the horizontal distance. ii) Set up the appropriate trigonometric ratio to determine the height of the hill. iii) Replace the variables with the appropriate values.
Answer:
[tex](a)\ h = d * \tan(\theta)[/tex]
[tex](b)\ h = 30.57m[/tex]
Step-by-step explanation:
Given
[tex]\theta = 17^o[/tex]
[tex]d =100m[/tex]
[tex]h = ??[/tex]
See attachment for illustration
Solving (a): Trigonometry ratio to calculate h.
From the attachment, we have:
[tex]\tan(\theta) = \frac{h}{d}[/tex]
Multiply both sides by d
[tex]d * \tan(\theta) = \frac{h}{d} * d[/tex]
[tex]d * \tan(\theta) = h[/tex]
Rewrite as:
[tex]h = d * \tan(\theta)[/tex]
Solving (b): The value of h
We have:
[tex]\theta = 17^o[/tex]
[tex]d =100m[/tex]
So:
[tex]h = 100m * \tan(17^o)[/tex]
[tex]h = 100m * 0.3057[/tex]
[tex]h = 30.57m[/tex]
AHHHHHHHHHHHHHHHHHHHH
Answer and Step-by-step explanation:
THE QUESTION IS NOT FROM A QUIZ, IT IS FROM A HOMEWORK ASSIGNMENT.
The unit rate is D. $4.00 per pound.
This is because we see on the graph that at 1 pound of fudge, the cost is 4 dollars.
When looking at the unit rate, you want to look at y value for when x is 1.
#teamtrees #PAW (Plant And Water)
A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be fenced. If 1000 yards of fencing material is to be used, what are the dimensions of the largest rectangular field that can be fenced? What is the maximum area?
Answer:
x = 500 yd
y = 250 yd
A(max) = 125000 yd²
Step-by-step explanation:
Let´s call x the side parallel to the stream ( only one side to be fenced )
y the other side of the rectangular area
Then the perimeter of the rectangle is p = 2*x + 2* y ( but only 1 x will be fenced)
p = x + 2*y
1000 = x + 2 * y ⇒ y = (1000 - x )/ 2
And A(r) = x * y
Are as fuction of x
A(x) = x * ( 1000 - x ) / 2
A(x) = 1000*x / 2 - x² / 2
A´(x) = 500 - 2*x/2
A´(x) = 0 500 - x = 0
x = 500 yd
To find out if this value will bring function A to a maximum value we get the second derivative
C´´(x) = -1 C´´(x) < 0 then efectevly we got a maximum at x = 500
The side y = ( 1000 - x ) / 2
y = 500/ 2
y = 250 yd
A(max) = 250 * 500
A(max) = 125000 yd²
Five friends go to a fall festival and they each pay an entry fee of $10. The friends then each spend the same amount of money on lunch at the festival and don’t spend any other money. Altogether, the friends have spent $120.
Answer:
Each friend pays $14 on lunch
Step-by-step explanation:
The sum of the ages of Mark, Tim and Jane is 39. In 5 years, the ratio of Mark's
5 age to
Tim's age to Jane's age will be 10:9:8. How old is Mark now?
A.
В.
C.
D.
15
14
13
20
Answer:
A. 15
Step-by-step explanation:
10 : 9 : 8
Mark: 10x
Tim: 9x
Jane: 8x
(10x - 5) + (9x - 5) + (8x - 5) = 39
10x - 5 + 9x - 5 + 8x - 5 = 39
27x - 5 - 5 - 5 = 39
27x - 15 = 39
27x - 15 + 15 = 39 + 15
27x = 54
27x ÷ 27 = 54 ÷ 27
x = 2
Mark: 10x - 5
10x - 5
10(2) - 5
20 - 5
15
ASAP!!!
-Will mark Brianist
-Please explain
Answer:
They are similar because if you do the expression shown for the first expression it will equal the same thing since 6 x 4d = 24d and 6 x p = 6p
24d + 6p which is equivalent to 24d + 6p
You use the distributive property.
You have 6(4d + p) and 24d + 6p
the 6 is being multiplied into each number in the (), so it is basically
6 x 4d + 6 x p
that gives you 24d + 6p, which is why they are equal
Find the 8th term of the arithmetic sequence - 2x + 7,4x + 1, 10x – 5, ...
Answer:
Step-by-step explanation:
a1 = -2x + 7
d = 4x + 1 - (-2x + 7)
d = 4x + 1 + 2x - 7
d = 6x - 6
n = 8
a8 = -2x + 7 + (n-1)*d
a8 = -2x + 7 + (8 -1 ) * (6x - 6)
a8 = -2x + 7 + 7 * (6x - 6)
a8 = -2x + 7 + 42x - 42
a8 = 40x - 35
y=7(3)^-4 please helpppp
Answer:
Step-by-step explanation:
y=7(3)^-4
y=7*1/3^4
y=7/81
Which pattern or sequence did she use?
Answer:
b
Step-by-step explanation:
is 4+3=1+6 correct?.................................................................................................
Answer:
Correct
Step-by-step explanation:
4 + 3 = 7
1 + 6 = 7
Therefore the statement is true :)
Answer:
4+3=1+6 is correct
Step-by-step explanation:
4+3=7
1+6=7
Very complicated math lol
Write the letter of every special quadrilateral that has the given property. (I will give brainliest)
look it up hare
sorry if it's not what your looking for
Can someone please tell me if this angle is supplementary or complementary
Answer:
Step-by-step explanation:
Since the angles both come off of the straight line, they are supplementary, and they add up to equal 180 degrees.
2x + 4x + 24 = 180 and
6x + 24 = 180 and
6x = 156 so
x = 26
PLEASE HELP ME WITH THIS
Answer:
Step-by-step explanation:
angle 1=130 degree(being alternate angles)
angle 2=50 degree
angle 2 +130=180 degree(being co interior angle)
angle 2=180-130
angle 2=50 degree
Answer:
m<1 = 50
m<2 = 130
Step-by-step explanation:
From the picture, you can inference that m<1 looks like 130 degrees, and m<2 does not. You can tell because m<1 looks like a wide-angle, while m<2 looks like a closed-angle. So, m<1 is 130 degrees.
To find m<2 subtract 180 by 130 because 180 is the measure of a straight angle.
180 - 130 = 50
So m<1 = 50
What is the exact circumference of the circle?
101 it
201 ft
401 ft
600 ft
Given:
The diameter of a circle = 20 feet
To find:
The exact circumference of the circle.
Solution:
We know that the radius is half of the diameter of the circle.
The diameter of a circle is 20 feet. So, the radius of the circle is 10 feet.
The circumference of the circle is:
[tex]C=2\pi r[/tex]
Where, r is the radius.
Substituting [tex]\pi = 3.14, r=10[/tex], we get
[tex]C=2(3.14)(10)[/tex]
[tex]C=(6.28)(10)[/tex]
[tex]C=62.8[/tex]
Therefore, the exact circumference of the circle is 62.8 feet.
Note: All options are incorrect.
please answer In(5x-3)=4
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex](5x - 3) = 4 \\ 5x - 3 = 4 \\ 5x = 4 + 3 \\ 5x = 7 \\ x = \frac{7}{5} \\ x = 1.4[/tex]
⎆ The answer will be, x = 7/5 (in fraction form) & x = 1.4 (in standard form).# ꧁❣ RainbowSalt2²2² ࿐
can someone help me on this?
Answer:
C when multiplying negative numbers if you multiply a negative by a negative you get a positive.
PLEASE HELP 50 POINTS
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
Verbally describe what each ordered pair in the first row of your table (when s = 0) means in terms of the situation. Use complete sentences in your answer.
Answer:
12 sales
Let x represent the number of sales each man had.
For Salesman A, he earns $65 per sale; this is 65x.
For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.
Since their pay was equal, set the two expressions equal:
65x = 40x+300
Subtract 40x from each side:
65x-40x = 40x+300-40x
25x = 300
Divide both sides by 25:
25x/25 = 300/25
x = 12
Step-by-step explanation:
plz brainlist
Answer:
The other person is correct
Step-by-step explanation:
Help me this is giving my head a brain poop
Answer:
I suck at algebra. your on your own for this one buddy
Answer:
40 minutes
Step-by-step explanation:
I don't think the number of players affect the amount it takes to play the piece. The answer is probably still 40 minutes
Help answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
dunno
Step-by-step explanation:
It might be 1,400?
Hope it works!!
The ninth graders are hosting the next school dance. They would like to make at least $500 profit from selling tickets. They estimate that at most 300 students will attend the dance. They will earn 3 for each ticket purchased in advance and $4 for each ticket purchased at the door. Write a system or inequalities to represent this situation.
pls explain the answer
Answer:
-2x+1
Step-by-step explanation: