Answer:
x = 12
y = 4
Step-by-step explanation:
x + y = 16
x - y = 8
y + 8 = x
Replace x with y + 8 in the new equation
8 + 2y = 16 ----> we can minus 8 on both sides
2y = 8 -----> divide both sides by 2
y = 4
Now for the x value
x + 4 = 16 ----> minus 4 on both sides
x = 12
Answer:
12 and 4
Step-by-step explanation:
Erin ran 5 km in 25 minutes. What is her speed in km per minute? (Answer as a decimal)
Answer:
what what what what what what what what
Helppppppppppppppppppppppppppppppppppp
Answer:
The answer would be 7 I hope this helps! : )
Answer:
it's 2
Step-by-step explanation:
if we solve 3×2×1/3
then we will get 2 .
Pls help and answer the question in the photo
Answer:
Cam
Step-by-step explanation:
Cam first multiplied both sides by 3 which removed the fraction on the left. They then correctly added 5 to both sides to get x on its own.
Hope this helps!
What is the distance from (-4, 0) to (2, 5)? Round your answer to the nearest hundredth.
Answer:
7.81
Step-by-step explanation:
Step-by-step explanation:
[tex]distance = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]
Now, substitute the numbers into the equation,
[tex] \sqrt{(2 + 4) ^{2} +( 5 - 0)^{2} } [/tex]
distance = 7.81
brianlist me??
The Astronomical Telescope shop plans to introduce a new model based on the following information: Rent and utilities per period are $ {fixed}; variable cost per unit is $ 217; selling price per unit is $ 305; determine the break-even point in units if rent and utilities are increased to $ 5420.
Using the profit concept, it is found that the break-even point is of 61.6 units.
Profit is given by revenue subtracted by cost.The break-even point is when the revenue is the same as the cost, which means that the profit is zero.In this problem:
Variable cost per unit x of $217, fixed cost of $5,420, thus, the cost equation is given by:[tex]C(x) = 217x + 5420[/tex]
Selling price per unit of $305, thus, the revenue equation is given by:
[tex]R(x) = 305x[/tex]
The break-even point is the value of x for which:
[tex]R(x) = C(x)[/tex]
Then
[tex]305x = 217x + 5420[/tex]
[tex]88x = 5420[/tex]
[tex]x = \frac{5420}{88}[/tex]
[tex]x = 61.6[/tex]
The break-even point is of 61.6 units.
A similar problem is given at https://brainly.com/question/4001746
What is the value of this expression? {5×(13−8)}+12÷6 Enter your answer in the box.
Answer:
27
Step-by-step explanation:
start with {5*(13-8)+12/6}
simplify to get:
(5*5)+12/6
simplify to get:
25+12/6
simplify to get:
25+2
simplify to get your answer:
27
Two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube. One particle travels 97 cm in the 1st 2 seconds, 93 cm in next 2 seconds , 89 cm in another next 2 seconds, etc. The other particle travels 49 cm in the 1st 2 seconds, 47 cm in the next 2 seconds , 45 cm in another next 2 seconds, etc. Find how long it takes for the particles to meet and hence, determine the distances travelled by each particle.
This shows that it will take the particle 23 secs to meet.
The distance travelled by each particle is 50cm
If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,
The first particle distances are 97cm, 93cm, 89cm... every 2secs
This form an arithmetic sequence and the nth term is expressed as:
Tn = a + (n - 1)d
a is the first term = 97
d is the common difference = 4
Substitute
Tn = 97+(n - 1)(4)
Tn = 97 + 4n -4
Tn = 4n + 93
Similarly for the distances 49 cm, 47 cm, 45cm .....
This also forms an arithmetic sequence and the nth term is expressed as:
Tn = a + (n - 1)d
a is the first term = 49
d is the common difference = 2
Substitute
Tn = 49+(n - 1)(2)
Tn = 49 + 2n -2
Tn = 2n + 47
For the particles to meet, this means that 4n + 93 = 2n + 47
4n - 2n = 47 - 93
2n = -46
n = -23
This shows that it will take the particle 23 secs to meet.
To get the distance travelled by each particle
Tn = 4n + 93
T2 = 4(2) + 93
T2 = 101
For the other sequence;
Tn = 2n + 47
T2 = 2(2) + 47
T2 = 51
Taking the difference;
D = 101 - 51 = 50cm
Hence the distance travelled by each particle is 50cm
Learn more here: https://brainly.com/question/13989292
"The quotient of five less than a number and 6, is -4."
Answer:
The number is 20
Step-by-step explanation:
x represents the missing number
The equation would be:
[tex]\frac{x-5}{6} =-4[/tex]
Then isolate the variable and solve,
First multiply both sides by 6...
[tex]x-5=-25[/tex]
Add 5 to both sides.
x=20
One student solved the inequality -4 > x/-7 and got 28 < x. Another student solved the inequality and got x > 28. Are they both correct? Explain.
Answer: solutions are the same, just written differently, inequality sign is reversed when multiplying. Yes, both students are correct. When multiplying by –7, the inequality symbol+ is reversed. The answers are the same, just written differently.
Step-by-step explanation: Happy to Help. Brainliest Please
Not yet answered Tharu bought a refrigerator and paid Rs. 40,000 as a down payment. On delivery, she paid another Rs. 80,000 and owed 60% of the purchased price. What was the price of the refrigerator?
Rs. 250000 was the price of the refrigerator.
Let x represent the price of the refrigerator.
Since she made a Rs. 40,000 down payment. On delivery paid another Rs. 80,000 and owed 60% of the purchased price. Hence:
Total Money paid = 100% - 60% = 40% of purchased price
40000 + 60000 = 40% of x
100000 = 0.4x
x = Rs. 250000
Hence, Rs. 250000 was the price of the refrigerator.
Find out more at: https://brainly.com/question/20418815
[tex]J=∫_e^b▒3dx/(xln^2 x)[/tex]
Answer:
huh rewrite the question
The area of a rectangle is x^2-4/2x in.2, and its length is (x + 2)2/2 in. Find the width.
Step-by-step explanation:
the area (length × width) is
A = (x² - 4)/2x in² = (x + 2)(x - 2)/2x
length = (x + 2)²/2 = (x + 2)(x + 2)/2
width = A/length = 2(x+2)(x-2) / 2x(x+2)(x+2) =
= (x-2)/x(x+2) = (x-2)/(x²+2x)
Please answer this question
Answer:
See explanation below:
see attached file below
Helppp I’m in class and need answers
Answer:
Need answers for what? I would LOVE to help you hun but I cant help because there is nothing to answer.
Step-by-step explanation:
TIME REMAININO
58:40
Which graph could represent a constant balance in a bank account over time?
Daily Balance
Daily Balance
Daily Balance
de
10
$
1378
Time (day)
1 2 3 4 5
Time day)
O
Daily Balance
35
Save and Exit
NE
Suband
Mark this and return
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
please help me with this sum
Answer:
391 × 5 = 1955
621 × 3 = 1863
481 × 7 = 3367
531 × 6 = 3186
981 × 2 = 1962
761 × 9 = 6849
581 × 8 = 4648
431 × 3 = 1293
271 × 4 = 1084
821 × 4 = 3284
How to solve x/m = n/p. Solve for x. Please include steps for solving. Thank you
Answer:
[tex]x=\frac{n}{p}m[/tex]
Step-by-step explanation:
Since we have two variables on the left side (x and p), and they are being divided, we need to do the opposite in order to get it to the other side. Therefore, we multiply both sides of the equation by m.
Doing that, we get
[tex]\frac{x}{m} m=\frac{n}{p}m\\\\\\So,x= \frac{n}{p}m\\[/tex]
please solve the questions
please hurry
it's in the attachment hope it helps you
20000 divided by 2 x 56 x 7898 - 100
First to Answer gets brainliest!!!
NO LINKS PLEASE!!!!
Answer:
0.0226122585576093
A boat sails directly toward a 250-m skyscraper that stands on the
edge of a harbor. The angular size of the building is the angle
formed by lines from the top and bottom of the building to the
observer (see figure). Complete parts (a) and (b) below.
a) The value of [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]
b) The rate of change of the angle with respect to x is -0.000308rad/m
Find the complete question and diagram attached
Form the right-angled triangle shown:
Adjacent side = x
Opposite side = 250m
angle of elevation = [tex]\theta[/tex]
Using the SOH CAH TOA identity
[tex]tan\theta = \frac{opposite}{hypotenuse} \\tan \theta = \frac{250}{x} \\\theta = tan^{-1}\frac{250}{x}[/tex]
Hence the value of [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]
b) If x = 450m
[tex]\theta = tan^{-1}\frac{250}{x}\\tan \theta = \frac{250}{x}\\[/tex]
Differentiate both sides with respect to "x"
[tex]sec^2 \theta \frac{d\theta}{dx} = \frac{-250}{x^2} \\ \frac{d\theta}{dx} = \frac{1}{sec^2\theta} \times \frac{-250}{x^2}[/tex]
Substitute x = 450m and [tex]\theta = 60^0[/tex] into the resulting expression to have:
[tex]\frac{d\theta}{dx} = \frac{1}{sec^260^0} \times \frac{-250}{450^2}\\\frac{d\theta}{dx} = (cos60)^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} = 0.5^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} =-0.000308[/tex]
Hence the rate of change of the angle with respect to x is -0.000308rad/m
Learn more here: https://brainly.com/question/15580615
what should she do next?
Answer:
(-2) *6 = -12
Step-by-step explanation:
4 + (2-4) *6 , solve the subtraction in parenthesis
4 + (-2)*6, solve the multiplication of (-2) *6
4 - 12, solve the subtraction
-8
The function g(x) = 8|x – 15| - 30 is a transformation of the parent function p(x) = x. Which of the following correctly describes the transformation of function p that generates function g?
A p is translated 30 units down, then has a vertical shrink by a factor of 8, and then is translated 15 units right.
B. p has a vertical shrink by a factor of 8, then is translated 15 units down, and then is translated 30 units left
c. p is translated 15 units left, then has a vertical stretch by a factor of 8, and then is translated 30 units up.
D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.
Using translation concepts, it is found that the correct option, which represents the transformation made to function [tex]g(x) = 8|x - 15| - 30[/tex], is given by:
D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.
The parent function is:
[tex]p(x) = |x|[/tex]
The first transformation was [tex]x \rightarrow x - 15[/tex], which means that it was shifted 15 units to the right.
Then, the function was multiplied by 8, which means that it was stretched vertically by a factor of 8.
Finally, 30 was subtracted from the function, which means that it was shifted down 30 units.
Hence, the correct option is given by:
D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.
A similar problem is given at https://brainly.com/question/18405655
Jimin wants to know whether if there is a difference in proportion of people who like mint chocolate chip-flavored ice cream between Americans and Koreans. She takes a random sample of 46 Americans and find that 30 of them like the flavor, and then she takes a random sample of 53 Koreans and find that 24 of them like the flavor. For a 95% confidence interval of the true difference in proportion of people who like this ice cream flavor, what is the margin of error (MOE)
Answer:
5hj
m5Step-by-step explanation:
Which word is a synonym of verify?
consent or confirm
Answer:
confirm is the correct answer
Plz mark as Brainliest
Solve for x: 8 (3x + 10) = 28x - 14 - 4x
Answer:
[tex]8(3x + 10) = 28x - 14 - 4x \\ 8 \times 3x + 8 \times 10 = 28x - 14 - 4x \\ 24x + 80 = 24x - 14 \\ 0x = 94 \\ x = > has \: no \: solution[/tex]
What is the value of 7x (3 + x/4) when x = −8?
Answer:
Third option
Step-by-step explanation:
[tex]7x (3 + \frac{x}{4}) = -56 * (3 + -\frac{8}{4}) = -56 * (3 - 2) = -56 * 1 = -56[/tex]
Carson has a smart phone data plan that costs $35 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Carson have to pay in a month where he used 3 GB over the limit? How much would Carson have to pay in a month where he used went over by x GB?
Answer:
3 GB over: $80 x GB over: $35+$15x
Step-by-step explanation:
3 GB over is 3 times 15 plus 35, which equals 80, x GB over is x times 15 plus 35. Boom, answer.
Your welcome!
Answer:
$80
Step-by-step explanation:
(I NEED THE ANSWER FAST PLS) Explain how to use place value and the distributive property to find the product of 828 and 9. (also, please do not give the edge sample answer)
Answer:
7452
Step-by-step explanation:
Answer:
Sample Response: First, write 828 as a sum of 800 + 20 + 8. Next, multiply each number by 9. Add the products to get 7,452.
Step-by-step explanation: edge 2021
Which of the following are perfect squares? 2, 4, 6, 16, 20,25, x², x³, x¹⁵, x²⁰, x²⁵
Answer:
4, 16, 25, [tex]x^{2}[/tex], [tex]x^{20}\\[/tex].
Step-by-step explanation:
Answer:
16, 4, 25, x², x ²⁰
. . . . . . . .