[tex]3(x - 3) + 8x = 5(2x + 1)[/tex]
Expanding the terms,
[tex]3(x - 3) + 8x = 5(2x + 1) \\ 3x - 9 + 8x = 10x + 5[/tex]
Collecting like terms,
[tex]3x - 9 - 8x = 10x + 5 \\ 3x - 8x - 10x = 5 + 9[/tex]
Evaluating the terms,
[tex]3x - 8x - 10x = 5 + 9 \\ - 15x = 14[/tex]
Divide both sides by -15,
[tex] - 15x = 14 \\ x = - \frac{14}{15} [/tex]
Henry wants to get a job this summer. He can either mow lawns or work in the local library. What is the opportunity cost if he decides to mow lawns?
Find The length of one leg of a right triangle if the length of the hypotenuse is 18 feet and the length of the other leg is 14 feet. Leave your answer as a simplified radical.
Answer:
a = 8√2
Step-by-step explanation:
a² + b² = c²
a² +14² = 18²
a² + 196 = 324
Subtract 196 from both side
a² = 128
Take the square root of both sides
a = √128
a = √(64 * 2)
a = 8√2
12 hrs 40 min + 10 hrs 30 min
Answer:
23 hours and 10 minutes
Can anyone help me figure this out? It’s not 75 x 0.20.. thank you :) I’ll give Brainly!!
Answer:
60
Step-by-step explanation:
Dividends are paid quarterly and it wants the annual amount, so you have to mulitply what you originally got by 4
or
75*.2*4=60
Gavin and his friends want to share 1/3 of a cake equally. Gavin says that each friends will get 1/9 of the cake. Use the drop-down menus to explain whether or not Gavin is correct.
Answer:
Step-by-step explanation:
I put incorrect
Second box is 4
And third box is 4
And fourth box is 1/12
Answer:
Gavin is correct
Step-by-step explanation:
2 box is 3
3 box is 1/3
So the answer is 1/9
Jffkdjdjdjdkskkskskskskakskkdkdkskdk
Answer:
the anser is d
Step-by-step explanation:
Answer:
b) 7x² - 12x√14 + 72
Step-by-step explanation:
Let's solve the problem,
→ (x√7 - 3√8)(x√7 - 3√8)
→ (x√7 - 3√8)²
→ 7x² - 12x√14 + 72
Hence, option (b) is correct.
.................help....................me..........
Answer:
10m = height
Step-by-step explanation:
Volume of a Cylinder = πr²(h), where r is the radius and h is the heigh of the circle, therefore;
=> 1000π = π(10)²(h)
=> 1000π = 100π(h)
=> 1000π/100π = h
=> 10 = h
Hope this helps!
The sum of two numbers is 32. One number is 10 more than the other. Find the numbers
Answer:
12 and 10
Step-by-step explanation:
Answer:
11 and 21
Step-by-step explanation:
Let the first number equal x. If the first number, the second number is ten more, and can represented as x + 10. Now, the sum is 32, so we can add the two numbers to get 32:
x + x + 10 = 32
2x + 10 = 32
2x = 22
x = 11
If the first number 11, the second number is 10 more, and therefore is 21.
solve for x.
there’s a 76 and x.
Answer:
104
Step-by-step explanation:
The angle is supplementary, so the total angle measure (of 79 and x) is 180. Just subtract the value we have (76) from the total value (180), and you get x.
20. If x=2a+3b and y = 20-3b, find (x+y)(x-y).
Answer:
i think 38
Step-by-step explanation:
write down the equation of the ellipse that has its center at the origin, focus at (1,0) and vertex at (8,0)
Answer:
y^2=28 (x-1)
Step-by-step explanation:
So thats ur answer im guessing
KLMN is a parallelogram. Find the value of x.
Answer:
x = 7
Step-by-step explanation:
opposite sides are equal so we can set up this equation and solve for 'x':
3x-2 = 19
3x = 21
x = 7
A window in the shape of a rectangle as shown below has a width of 2X +1 and the length of X squared minus 5X -7
Answer;
14x-12
Explanation:
Since we are not asked what to fine, we can find the perimeter of the rectangle
Perimeter = 2(L+W)
Perimeter = 2(2x+1+5x-7)
Perimeter = 2(7x - 6)
Perimeter = 14x - 12
Hence the perimeter of the rectangle is 14x-12
Anyone helps??
Mr. Cruz has 60 students. 24 are taking Math, 15 are taking Biology, and 31 are taking neither.
How many students are taking both, Math and Biology.
Answer:
39
Step-by-step explanation:
24+15= 39. 39 students are taking both math and biology.
Another one
Topic: Law of Indices
Evaluate this;
(13⁰÷5)²
Answer:
1÷25Steps:
(13⁰/5)²
(1÷5)²
1²÷5²
1÷25
The function g(x) =x^2 is transformed to obtain function h:
h(x) = g(x) + 1.
Which statement describes how the graph of h is different from the graph of g?
OA.
The graph of his the graph of g horizontally shifted right 1 unit.
O B. The graph of his the graph of g vertically shifted up 1 unit.
Oc. The graph of h is the graph of g horizontally shifted left 1 unit.
OD.
The graph of h is the graph of g vertically shifted down 1 unit.
Answer:
B. The graph of his the graph of g vertically shifted up 1 unit.
Step-by-step explanation:
[tex]Given:-[/tex]
[tex]g(x)=x^2[/tex]
[tex]h(x)=g(x)+1[/tex]
[tex]so,h(x)=x^2+1[/tex]
[tex]f(x)=x^2[/tex]
[tex]vertical ~ shift~ up ~1 ~ unit[/tex]
----------------------------
hope it helps...
have a great day!!
What is the value of x
Hey there! :)
Please keep in mind that SOH-CAH-TOA is a life saver when it comes to trig! Where:
- SOH = Sin: opposite over hypotenuse
- CAH = Cos: adjacent over hypotenuse
- TOA = Tan: opposite over adjacent
The question is asking us to find the value of x given the following located in the image provided.
Because we've been given 51°, we'll use this angle to determine whether we're using Sin, Cos, or Tan.
We must now look at the other given variables in this triangle - specifically where they are located.
While looking at our given angle (51°), we see that x is located on the opposite side of 51° while 8 is located adjacent (also known as next) to 51°.
Because of this, we now know that we'll be using Tan (opposite over adjacent) to find the value of x because our given values are opposite and adjacent to 51°.
We now set up our equation to find the value of x:
tan (51°) = [tex]\frac{x}{8}[/tex] ⇒ we set it up this way because x is opposite of 51° & 8 is adjacent to it.
Now, we must remove all fractions. We can do this by multiplying both sides by 8.
8 × tan (51°) = [tex]\frac{x}{8}[/tex] × 8
Now, we simplify.
8 × tan (51°) = x
Now, we plug this into our calculator. Make sure your calculator is in degrees mode since we are using degrees, not radians.
8 × 1.2348 = x
Simplify.
x = 9.9
Therefore, angle x is 9.9
Hope this helped! :)
(Image attached for visual reference)
6x + 11y = -3
4x + y = 17
what is the y coordinate?
Answer: Y = -3 and for x = 5
Step-by-step explanation:
You would get this because when you multiply 6 by 5 you get 30 then you multiply 11 by -3 and you get -33 then you add both and -3 then that’s how you find for the value y and can please mark brainly if you do thx and have a good day
Find x. Round your answer to the nearest tenth of a degree.
A
27
18
to
B
С
x = _(blank)
Use the integers that are closest to the number in the middle. √32
Answer:
4√2
Step-by-step explanation:
√32 = √(16 * 2) = 4√2
Which algebraic expression represents the phrase “six less than a number”?
A- 6x - x
B- x - 6
C- 6 - x
D- x - 6x
Suppose you are interested in investigating the wage gender gap using data on earnings of men and women. Which of the following models best serves this purpose?
A. Wage=βo +β1, Female + u, where Female (=1 if female) is an indicator variable and u the omor term.
B. Wage =βo + u where u is the error term.
C. Female= βo+ β1 Wage + u where Female (=1 if female) is an indicator variable and u the error term.
D. Male =βo+β1 Female+ u where Male (=1 if male) is an indicator variable and u the error term
Consider the regression model
Wage=βo + β1Female + u
Where Fomale (=1 if female) is an indicator variable and u the error term.
Identify the dependent and independent variables in the regression model above.
Wage is the__________ variable, while FP the ________ varlabie.
Answer:
A. Wage=βo +β1, Female + u, where Female (=1 if female) is an indicator variable and u the error term.
Wage = dependent variable
FP = Independent variable.
Step-by-step explanation:
The model selected model shows the relationship between the wages earned by male and female gender based on earnings of the two gender groups.
Wage is the dependent variable while factors upong which their wage depends on will be adopted as the independent variable. Since gender is categorical and cannot be used in that form during regression analysis. The it can be converted into a dummy or encoded variable. Such as treating female as = 1.
Find the area and perimeter of the figure below
Answer:
p ≈ 97 cm
a = 390 cm²
Step-by-step explanation:
First figure out the missing lengths
The triangle on the right is a standard 9 - 12 - 15 right triangle
The triangle in the left is a right isosceles triangle so the sides are both the same 12cm. The hypotenuse is found using c² = a² + b² and is approx 17 cm
--------------------------
perimeter
p ≈ 12 + 22 + 9 + 15 + 22 + 17
p ≈ 97 cm
Area
a = left triangle + rectangle + right triangle
a = (1/2)(12*12) + (12*22) + (1/2)(9*12)
a = 390 cm²
What is the surface area of the cylinder with height 7 ft and radius 3 ft? Round your answer to the nearest thousandth.
Which choice is equivalent to the fraction below? Hint: Rationalize the
denominator and simplify.
Answer:
Option D. 4√2
Step-by-step explanation:
8/√2
The above expression can be simplified as follow:
8/√2
Rationalise the denominator i.e multiply the numerator and the demoninator by √2. This is illustrated below:
8/√2 × (√2/√2)
8 × √2 / √2 × √2
8√2 / 2
4√2
Thus, option D gives the correct answer to the question.
el cubo de cuatro veces y
Answer:
????? what?
Step-by-step explanation:
Answer:
i dont speak spanish
Step-by-step explanation:
Nicholas performs an experiment in which he pulls a marble from a bag. In his experiment, he finds that he is twice as likely to pull a red marble as a blue marble. If Nicholas pulls 10 red marbles, how many blue marbles does he pull?
Answer:
Nicholas pulls 5 blue marbles from the bag.
Step-by-step explanation:
Since Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:
10/2 = X
5 = X
Therefore, Nicholas pulls 5 blue marbles from the bag.
Find the constant of proportionality k in the equation y= 38x
Answer:
38
Step-by-step explanation:
In the standard direct variation equation, y = kx, k is the constant of proportionality.
Since the equation is y = 38x, it is in the direct variation form.
Using this, 38 is the k value, since it is the coefficient of x.
So, the constant of proportionality (k) is 38.
Answer:
38
Step-by-step explanation:
give 5 each examples of acute angle
and obtuse angle
Answer:
acute (<90°): 2° 35° 47° 78° 89.5°
obtuse (>90°): 91° 180° 290° 110° 359°
What is the volume, in cubic cm, of a cube with an edge length of 9cm?
Answer:
729 cm^3
Step-by-step explanation:
Delta math