Answer:
12 inches
Step-by-step explanation:
The Pythagorean's theorem states that a triangle's hypotenuse's length is equal to a^2+b^2=c^2.
9 is a, b is the length, and c is the 15.
9^2+b^2=225
225-81=144
The square root of 144 is 12, therefore 12 inches is the length.
solve for x: |12x + 12|=18
Answer:
x = 1/2 or x = -5/2
Step-by-step explanation:
Solve for x over the real numbers:
abs(12 x + 12) = 18
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
12 x + 12 = 18 or 12 x + 12 = -18
Hint: | Look at the first equation: Isolate terms with x to the left hand side.
Subtract 12 from both sides:
12 x = 6 or 12 x + 12 = -18
Hint: | Solve for x.
Divide both sides by 12:
x = 1/2 or 12 x + 12 = -18
Hint: | Look at the second equation: Isolate terms with x to the left hand side.
Subtract 12 from both sides:
x = 1/2 or 12 x = -30
Hint: | Solve for x.
Divide both sides by 12:
Answer: x = 1/2 or x = -5/2
15 points and brainlist! Math
Answer:
distribute the 3
Step-by-step explanation:
follow pemdas ill put a brainpop link below
its the answer highlighted in yellow
Answer:
the 4th option is the right answer
subtract the constants
hope this helped you
please mark as the brainliest (ㆁωㆁ)
What is the slope of a line perpendicular to the line whose equation is
6x – 15y = 270. Fully reduce your answer.
Which number line represents all of the values of x for the equation x? = 647
-032-16
7
32
-10
-32-
32
12-16
32
40
-4032-N-16
-
16
3240
Answer:
the 2nd answer.
Step-by-step explanation:
8*8 = 64.
-8 * -8 = 64
Muna is making a scale drawing of a gecko. The gecko is 1··2inch wide and 5 inches long. A. She decides to make her drawing of the gecko 1 inch wide. How long will the drawing be? Show your work.
Answer:
[tex]L = 0.83\ in[/tex]
Step-by-step explanation:
Given
Width = 1.2 in when Length = 1 in
Required
Determine the length when width = 1 in
First, we need to determine the ratio:
[tex]Ratio = \frac{Width}{Length}[/tex]
[tex]Ratio = \frac{1.2}{1}[/tex]
[tex]Ratio = 1.2[/tex] --- (1)
Let the required Length be represented with L
So:
[tex]Ratio = \frac{Width}{Length}[/tex]
[tex]Ratio = \frac{1}{L}[/tex] --- (2)
Equate (1) and (2)
[tex]\frac{1}{L} = 1.2[/tex]
Multiply through by L
[tex]L * \frac{1}{L} = 1.2 * L[/tex]
[tex]1 = 1.2 * L[/tex]
Divide through by 1.2
[tex]L = \frac{1}{1.2}[/tex]
[tex]L = 0.83\ in[/tex] (Approximated)
Find the difference: 34x-4x+2y=?
Answer: The answer is 30x-2y
Step-by-step explanation: Subtract 4x from 34x to get 30x. Then the rest just falls down and you are left with 30x-2y. Also can you please give me a brainliest. I really need one.
Your cell phone plan costs $24..99 per month plus $0.17 for each text message you send or receive. You have at most $29 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month?
Answer:
The maximum number of text messages you can send per month would be 23.
Step-by-step explanation:
1. First, you want to create an inequality from the word problem. You know that $24.99 is a constant, so we won't put any variables next to it. You also know that each text message is $0.17, so that would need a variable since it can change each month. You also know that you can spend $29 maximum each month, so that goes on the other side of the inequality. Your inequality will look like this: 0.17x+24.99≤29 (x is the number of text messages).
2. Second, you want to solve for x. To do this, subtract 24.99 from each side. After this, the equation is 0.17x≤4.01
3. Now, divide each side by 0.17. Now your inequality is x≤23.59. This represents how many text messages you can send per month without going over 29.
4. Finally, you have to realize that is impossible to send exactly 23.59 text messages. So, you have to round down to 23 to get an even number of text messages, and that's your answer!
Hope this helps! Feel free to ask any questions :)
An object is moving at a speed of 2 feet every 8.5 minutes. Express this speed in meters per hour
Answer:
4.30m/hr
Step-by-step explanation:
2 feet/8.5 mins is 0.235294118 feet per minute, which is 4.3030553875397 metres per hour, which to 2 s.f. is 4.30
In meters per hour the speed is 470 meters per hour.
We have an object moving at a speed of 2 feet every 8.5 minutes.
We have to express this speed in meters per hour.
Convert - i). 1 feet to meters 2). 1 minute to hour1 feet = 3.29 meters
1 hour = 60 minutes → 1 minute = [tex]\frac{1}{60}[/tex] hour = 0.017 hr
According to question - We have :
Speed = 2 feet in 8.5 minutes
We know -
1 feet = 3.29 meters
2 feet = 2 x 3.29 = 6.58 meters
and
1 minute = 0.017 hr
8.5 minutes = 8.5 x 0.017 = 0.14 hr
Now -
In 0.014 hr, distance covered = 6.58 meters
In 1 hr, distance covered will be - [tex]\frac{6.58}{0.014}[/tex] = 470 meters/hour
Hence, in meters per hour the speed is 470 meters per hour.
To solve more questions on units conversion, visit the link below -
https://brainly.com/question/1629016
#SPJ2
work it out "the equation 1.5r + 15=2.25r represents the number r of movies u must rent to spend the same amount at each movie store. how many movies must u rent to spend the same amount at each movie store" then there's 2 pics one says "all rentals $1.50, membership fee $15" other says "membership free, all rentals $2.25"
Answer:
20
Step-by-step explanation:
Your equation is correct. To solve it subtract 1.5r from both sides and divide by the resulting coefficient of r.
15 = 0.75r
15/0.75 = r = 20
You must rent 20 movies for the costs to be the same.
Round the decimal to the nearest whole number 5.8??
Answer:
6
Step-by-step explanation:
Because 5.8 is closer to 6 than it is to 5.
6
If you want to round to the nearest whole number, the answer would be 6. Remember, if the number right after the decimal is higher than 5, you want to round up, if the number is lower that 5, you will want to round down. I hope this helped!! :)
The square root of 130
falls between _____
and _____
but it's closest to _____
Answer:
11 and 12, closest to 11
Step-by-step explanation:
The square root of 130 falls between 11 and 12
Since 11 squared is 121 and 12 squared is 144.
130 is closer to 121, making it closer to 11 than to 12.
Hope this helps :)
Use long division to write the fraction -6/8 as a decimal.
[tex] \frac{ - 6}{8} = - \frac{3}{4} = - 0.75[/tex]
A recipe for orange water says, “Mix 3 teaspoons yellow water with 1 teaspoon red water.” For this recipe, we might say: “The ratio of teaspoons of yellow water to teaspoons of red water is 3:1.”
Answer:6:2
Step-by-step explanation:
Answer:
how many batches you need to know? If 2 batches the answer is 6:2 and if 4 batches it is 12:4
Please help and hurry please thank you!
Choose the equation that
represents this situation. Use c to represent the
variable.
Tori received a $50 gift card for her birthday. After buying some clothes, she
had $32 left on the card. How much did she spend on the clothes?
A.c=32+50
B.32c=50
C.32-c=50
D.50-c=32
Answer:
oh i have done these before but this one is a little confusing bc i got 2 answers B or C
Andrew is taking a multiple choice test with a total of 80 points available. Each
question is worth exactly 2 points. What would be Andrew's test score (out of 80) if
he got 8 questions wrong? What would be his score if he got x questions wrong?
Answer:
Andrew's test score if he got 8 questions wrong = 64 points
Andrew's test score if he got x questions wrong = 80 - 2x
Step-by-step explanation:
Total points of the multiple choice test = 80
Each question = 2 points
Total questions = Total points of the multiple choice test / 2 points
= 80/2
= 40
Total questions = 40
A. What would be Andrew's test score (out of 80) if he got 8 questions wrong
If he got 8 questions wrong out of 40 questions
= Total question points - wrong question points
= 40*2 - 8*2
= 80 - 16
= 64 points
Andrew's test score if he got 8 questions wrong = 64 points
B. What would be his score if he got x questions wrong?
Test points if he got x questions wrong = Total question points - wrong question points
= (40 * 2) - (x * 2)
= 80 - 2x
Andrew's test score if he got x questions wrong = 80 - 2x
solve this below. 4(3y+7)=40
-1 +(-3) is units from -1 in the direction
Answer:
-4
Step-by-step explanation:
y+8=-1 show your work.
Answer:
3
Step-by-step explanation:
y=11-8
=3
Answer:
3
Step-by-step explanation:
y+8=11
y=11-8
y=3
therefore the ans is 3
X square + 5 x + 6
Step-by-step explanation:
We can simplify the polynomial x² + 5x + 6 as (x + 2)(x + 3)
Let me know what are you looking for regarding this polynomial!
Answer:
(x+2)(x+3)
Step-by-step explanation:
x^2+5x+6
x^2+(2+3)x+6
x^2+2x+3x+6
x(x+2)+3(x+2)
(x+2)(x+3)
Chloe is 5 feet 4 inches tall. There are 2.54 centimeters
Answer:
162.56
Step-by-step explanation:
True or False? (-x)^6 = -x^5 Explain your
answer (use either words or an example).
Answer:
False
Step-by-step explanation:
[tex](-x)^{6}[/tex] = [tex]x^{6}[/tex]
- [tex]x^{5}[/tex] = - [tex]x^{5}[/tex]
Thus
[tex](-x)^{6}[/tex] ≠ - [tex]x^{5}[/tex]
Given: h(x)=-4x and g(x) = 3x +1
Find:
(nog)
Answer:
Step-by-step explanation:
h(g(x))
g(x)= 3x + 1
h(3x + 1) = 4(3x + 1) = 12x + 4
Evaluate for x=-7 and y=-3 11x - 4y
Answer:
Is -65
Step-by-step explanation:
Used a calculator
Step-by-step explanation:
x=-7 so 11x becomes 11 x-7
11 x -7=-77
y=-3 so -4y becomes -4 x -3
-4 x -3=-12
-77-12=-89
I hope it helps!
find the value of x and y respectively A. 20, 120 B. 40, 120 C. 30, 140 D. 30,160
Answer:
Option A:
x=20 and y=120
Answer:
A. 20, 120
Step-by-step explanation:
[tex](4x - 20) \degree = 3x \degree..(vertical \: \angle 's) \\ 4x - 20 = 3x \\ 4x - 3x = 20 \\ \huge \orange { \boxed{x = 20}} \\ \\ 3x \degree + y \degree = 180\degree .. (straight \: line\:\angle 's) \\ 3 \times 20 \degree +y \degree = 180 \degree \\ 60 \degree + y \degree = 180 \degree \\y \degree = 180 \degree - 60 \degree \\y \degree = 120 \degree \\ \huge \red { \boxed{y = 120}}[/tex]
A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing. What is the maximum area that can be enclosed
Step-by-step explanation:
A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing.
Perimeter of rectangle (3 sides)= 60 feet
Let 'x' be the width of the wall
[tex]Perimeter = 2(length)+2(width)\\60=2(length)+2x\\\\60-2x=2(length)\\\frac{60-2x}{2} =length\\Length =30-x[/tex]
Formula for the area of the rectangle is
[tex]Area=length \cdot width\\A=length(x)[/tex]
Replace the length we got using perimeter
[tex]A=(30-x)(x)\\A(x)= 30x-x^2[/tex]
To find out the maximum are we take derivative
[tex]A'(x)= 30-2x\\0=30-2x\\-30=-2x\\x=15[/tex]
find out second derivative to check whether x=15 is maximum
[tex]A''(x)=-2[/tex]
second derivative is negative
So, Maximum area at x=15
To find maximum area we plug in 15 for x in A(x)
[tex]A(x)=30x-x^2\\A(15)=30(15)-15^2\\A(15)=225[/tex]
So, maximum area is 225 square feet
Which of the quadratic functions listed is written in standard form?
O A. Y= 2x² + 3x - 5
O B. Y-4 = - 3(x - 5)
OC. Y - 7 = -2(x + 3)?
O D. Y= (x+1)(x – 5)
Answer: A
Step-by-step explanation:
f(x)=ax²+bx+c is the standard form for quadratic functions. Looking at the answer choices, we can eliminate B, C, D. They are not the same as the given standard form. B and C are point-slope formulas, which are not standard form. D is in intercept form, therefore it is not standard form. This leaves us with A as the correct answer.
w(x) = 2x + 5; Find w(x + 2)
Solution:
w(x) = 2(x + 2) + 5
w(x) = 2x + 4 + 5
w(x) = 2x + 9
Best of Luck!
Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 40 hours and earned $495.60 enter and solve an equation to find julios hourly rate, r. Complete the explanation how you know that your answer is reasonable
Answer: $10.33
Step-by-step explanation:
Given: Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week.
Last week he worked 40 hours ( > 30 hours by 10 ) and earned $495.60.
Let r = Julio's hourly rate
if he worked over 30 hours in a week, then hourly rate = 1.2r
According to the question
[tex](1.2r)\times 40=495.60\\\\\Rightarrow\ r=\dfrac{495.60}{1.2\times 40}\\\\\Rightarrow\ r=10.325\approx10.33[/tex]
Hence, his hourly rate = $10.33
True or false? <4≈<5
Answer:
false FALSE FALSE FALSE
What is the value of the expression? 2/3+1/6