Answer:
[tex]16x^2 + 18y[/tex] units
Step-by-step explanation:
The perimeter of a rectangle is [tex]2l+2w[/tex], where l and w are the length and width respectively. Since we know the value of the length and width, we can substitute inside the equation.
[tex]2(x+5y) + 2(8x^2 - x + 4y)\\\\2x + 10y + 16x^2 - 2x + 8y[/tex]
We can now combine like terms to get [tex]16x^2 + 18y[/tex].
Hope this helped!
A field in the shape of a trapezoid has an area of 13.687.5 square yards the length of one base is 150 yards and the length of the other base is 215 yards what is the height of the trapezoid
This question is not correctly written
Complete Question
A field in the shape of a trapezoid has an area of 13,687.5 square yards the length of one base is 150 yards and the length of the other base is 215 yards what is the height of the trapezoid
Answer:
The height of the trapezoid is 75 yards
Step-by-step explanation:
Area of a Trapezoid = 1/2(b1 + b2) × h
Where b1 = Length of the first base
b2 = Length of the second base
h = height of the trapezoid
From the question
Area of the trapezoid = 13,687.5 yd²
b1 = Length of the first base = 150 yards
b2 = Length of the second base = 215 yards
h = height of the trapezoid
Hence, we have
13,687.5 = 1/2(150 + 215)h
13,687.5 = 365h/2
13,687.5 × 2 = 365h
h = 13687.5 × 2/365
h = 75 yards
Therefore, the height of the trapezoid is 75 yards.
Jeremy and Karina are playing the "Integer Card Game". Jeremy drew three cards, -1, 8, and - 3.
What is the sum of the cards in his hand?m?
Answer:
3
Step-by-step explanation:
Answer:
-1 + 8 + (-3) = 4
Step-by-step explanation:
5 x [3 x (-2) - 10] i need the answer step by step please
Answer:
-80
Step-by-step explanation:
5×(-6 - 10)
5×(-16)
-80
solve by using BODMAS rule
Answer: -80
First step is to calculate everything inside the brackets = [3× (-2) -10] = [(-6) - 10] = [(-16)] then we now multiply the number outside the brackets with the number inside the brackets which = 5[-16] = -80.
Rewrite the equation for x, and express its value in terms of a. 3/a x - 4 = 20
For this case, we must clear variable "x" from the given equation, expressed in terms of "a".
We have:
3/a x-4=20
By clearing "x" we have:
Adding 4 to both sides of the equation:
3/a x = 20 + 4
Multiplying by a/3 on both sides of the equation:
x=24a/3
x=8a
So, x=8a
Answer:
x=8a
How many solutions does 3x – 1 = 3x + 1 have?
This system 3x – 1 = 3x + 1 has no solution.
How to solve the given system of equations?In order to determine the solution for the given system of equations, we would apply the substitution method. Based on the information provided above, we have the following system of equations:
y = 3x - 1 .......equation 1.
y = 3x + 1 .......equation 2.
By using the substitution method to substitute equation 2 into equation 1, we have the following:
3x - 1 = 3x + 1
3x - 3x = 1 + 1
0 = 2 (False).
Read more on equation here: https://brainly.com/question/31398664
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The Robinson family is having new carpet installed in the dining room the carpet cost $299 for insulation and $15 for each square yard how many square yards of carpet can be installed at the total cost is $674
Subtract the fee from the total:
674 - 299 = 375
Now divide by the cost per square yard:
375 / 15 = 25
The answer is 25 square yards.
Answer:
45 square yards
Step-by-step explanation:
divide 674 by 15
PLEASE HELP QUESTION IS ON THE ATTACHMENT !!
Answer:
C.
Step-by-step explanation:
— 7 + 4p = -8p + 11
just the answer
or steps if you can
Answer:
p = 1.5
Step-by-step explanation:
— 7 + 4p = -8p + 11
Add 8p to each side
— 7 + 4p+8p = -8p+8p + 11
-7 +12p = 11
Add 7 to each side
-7+7 +12p = 17
12p = 18
Divide each side by 12
12p/12 =18/12
p = 18/12
p = 3/2
p = 1.5
A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), B(0,10) and C(15,0). The origin is the center of dilation. What is the scale factor of the dilation?
A. 1.5
B. 2
C. 2.5
D. 3
Answer:
The scale of dilation is 2.5
Step-by-step explanation:
K · ( 0, 0 ) = ( 0 , 0 )
k · ( 0 , 4 ) = ( 0 , 10 )
k · ( 6, 0 ) = ( 15, 0 )
k = 15/6 = 10/4 = 2.5
The scale of dilation is 2.5
which equation is a function of x ? A. x=5 B. x=y squared +9 C. x squared=y D. x squared=y squared +16
Answer:
I am pretty sure it is C: x squared equals y.
Step-by-step explanation:
The phrase "function of x" means that y depends on the value of x.
The only option where I think this is the case is C.
Answer:
I think it is C
Hope this Helps!
0.03460 as a fraction.
Answer:
173/5000
Step-by-step explanation:
Tell me if correct
Answer:
91/2500
Step-by-step explanation:
Step 1:
0.03460/1
Step 2:
0.346/10
Step 3:
3.46/100
Step 4:
34.6/1000
Step 5:
346/10000
Answer:
91/2500
Hope This Helps :)
Find the distance d(A,B) between points A and B.
A(7-5); B(7,5)
Answer: d(A,B)=
Simplify your answer. Type an exact answer...
Answer:
The answer is 10 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(7-5); B(7,5)
The distance between them is
[tex]d = \sqrt{ ({7 - 7})^{2} + ({ - 5 - 5})^{2} } \\ = \sqrt{ {0}^{2} + ( { - 10})^{2} } \\ = \sqrt{100} [/tex]We have the final answer as
10 unitsHope this helps you
(f- g)(x) =
A. x2 + x-4
B. x2 + x + 4
C. 12- X+6
D. x2+x+6
Step-by-step explanation:
I rlly think it is c.12-×+4
Which values are solutions to the inequality –3x – 4 < 2? Check all of the boxes that apply. -4 -2 0 3
Answer:
0 and 3
Step-by-step explanation:
all you have to do is plug the numbers for x
so -3 x 0=0
-3 x 3=-9 then minus 4 equals -13
the others are bigger than 2
Answer:
0 and 3
Step-by-step explanation:
J is between H & K, if HJ=4t-15, JK=5t-6, and KH=15, find JK
Answer:
JK = 39
Step-by-step explanation:
HJ and JK are segments of line segment HK, so they must add up to the length of KH.
HJ + JK = HK
By substituting in the values of each line segment, we can solve for t.
(4t - 15) + (5t - 6) = 15
9t - 21 = 15
9t = 36
t = 9
Now that we have t, we can plug it in in order to find the value of JK.
JK = 5t - 6
5(9) - 6
45 - 6
39
JK = 39
15-12 + 4(3) =
15-12-12
15-1
14
Answer:
15
Step-by-step explanation:
15-12+4(3)
15-12+12
3+12
15
A negative plus a negative is a positive true or false
Answer:
False
Explanation:
If you take any negative number (ex. -1 and -2) and you add them together:
(-1) + (-2) it would still equal a negative number (-3).
An interior designer charges $100 to visit a site, plus $55 to design each room. Identify a function that represents the total amount he charges for designing a certain number of rooms. What is the value of the function for an input of 6, and what does it represent?
Answer:
C(r) = 100 + 55r
C(6) = $430
Step-by-step explanation:
Fixed charges = $100
Charges per room = $55
A. function that represents the total amount he charges for designing a certain number of rooms.
Let
r = number of rooms
C = Total amount charged
C(r) = 100 + 55r
The function is C(r) = 100 + 55r
B. What is the value of the function for an input of 6, and what does it represent
C(r) = 100 + 55r
When r = 6
C(6) = 100 + 55 * 6
= 100 + 330
= 430
C(6) = $430
This means that the amount charged for 6 rooms is $430
Jacob cut a 126 centimetre rope into 4 equal pieces. How long is each new piece of rope
Answer:
31.5 centimetre
Step-by-step explanation:
126/4 = 31.5
A ____________________number can be expresses as a/b where a and b are integers and b does not equal 0.
Answer:
Rational Number
Step-by-step explanation:
A rational number : A number that can be in the form of
q /p , where p and q are integers and q is not equal to zero.
Answer:
A rational number : A number that can be in the form of p/q, where p and q are integers and q is not equal to zero
Step-by-step explanation:
Plz Mark me as brainliest
Plot 4/7 on the number line
Answer:
0.57, which is a number between 0 and 1
Step-by-step explanation:
The fraction 4/7 is approximately equal to 0.57 as a decimal, so you would plot 4/7 where 0.57 should go
Answer:
Between 0 and 1
Step-by-step explanation:
alan has 12 books, vadim has 18 books. What is the ratio of the number of books they have altogether to the number of books Vadim has
Answer:
5 to 3 ratio
Step-by-step explanation:
Vadim has 18 books. The total books is 30.
30 to 18 simplified is 5 to 3.
write 3 integers less than -27
Answer:
It would be -28, -29, and -30.
Step-by-step explanation: It would be these answers since the numbers are negative the "less than" would be in the other direction.
If n = 4, all of the following expressions are equivalent except _____. 16 n -2
For n = 4, all of the given expressions are equivalent except 16 and
(n - 2).
What is Substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
The expressions are;
1. 16
2. n - 2
3. 1/16
4. 1/n²
Now, Put n = 4 in all given expression we get;
The first expression is,
16
The second expression is,
n - 2
= 4 - 2
= 2
The third expression is,
1/16
The fourth expression is,
1/n²
= 1/4²
= 1/16
Hence, Third and fourth expression are same.
So, For n = 4, all of the given expressions are equivalent except 16 and
(n - 2).
Learn more about the substitution method visit:
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The complete question is this.
If n = 4, all of the following expressions are equivalent except _____.
16
n -2
1/16
1/n ^ 2
4. A marathon is 42.195 km, how many miles is this
Answer:
26.2244 mi
Step-by-step explanation:
Step 1: Find conversion
1 mi = 1.609 km
Step 2: Use Dimensional Analysis
[tex]42.195 \hspace{2} km (\frac{1 \hspace{2} mi}{1.609 \hspace{2} km} )[/tex]
26.2244 mi
lines L and M are parallel lines cut by the transversals line t. which angle is congruent to angle 5
Answer:
When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary
Step-by-step explanation:
Answer:
It is 34 degrees.
Step-by-step explanation:
Got it right on the quiz. Good luck.
Edit: The link led to a different question but others may want the answer to the quiz they looked for so here is the answer to that question.
Q: Lines l and m are parallel. When they are cut by the two transversals below, a triangle is formed.
Parallel lines l and m are intersected by lines s and t. A triangle has angles 1, 2, 40 degrees. The exterior angle to angle 1 is 74 degrees.
What is Measure of angle 2
34 degrees
40 degrees
74 degrees
146 degrees
A: 34 Degrees
The student to faculty ratio at a small college is 17:3 the total number of students and faculty is 740. How many faculty members are there at the college?
Answer:
111
Step-by-step explanation:
It is given that the student to faculty ratio at a small college is 17:3.
Let number of students and faculty members are 17x and 3x respectively.
It is given that total number of students and faculty is 740.
[tex]17x+3x=740[/tex]
[tex]20x=740[/tex]
Divide both sides by 20.
[tex]x=37[/tex]
Number of student [tex]=17\times 37=629[/tex]
Number of faculty members [tex]=3\times 37=111[/tex]
Therefore, there are 111 faculty members at the college.
Answer:
102(D.)
Step-by-step explanation:
what is the correct domain of h
the correct domain oh h is C
use the real number line shown below to complete each statement.
The letter best represents −0.1525.
The letter best represents 9
5
.
The letter best represents −1
5
.
Answer:
the letter best represents -15.
b - -0.1525
f - 9/5
a - -1/5
A small town’s raffle has 85 entries and 3 gift baskets that three different people could win. What is the probability of winning a gift basket if you have 1 of the entries
Answer:
[tex]\dfrac{3}{85}[/tex]
Step-by-step explanation:
It is given that a small town’s raffle has 85 entries and 3 gift baskets that three different people could win.
Total number of entries = 85
Total number of gift baskets = 3
We need to find the probability of winning a gift basket.
[tex]\text{Required probability}=\dfrac{\text{Total number of gift baskets}}{\text{Total number of entries}}[/tex]
[tex]\text{required probability}=\dfrac{3}{85}[/tex]
Therefore, the required probability is [tex]\dfrac{3}{85}[/tex].