9514 1404 393
Answer:
2a. (360x +495)/(8x +11) = 45
2b. 2((8x+11) +45) = 16x +112
Step-by-step explanation:
a) The area is the product of length and width.
A = LW
We are given ...
W = 8x +11
A = 360x +495
The value of length can be found by solving for L:
L = A/W
L = (360x +495)/(8x +11)
The long-division solution to this is shown in the attachment.
L = 45 . . . . simplified expression for length
__
b) The perimeter of the tank is twice the sum of length and width:
P = 2(L +W)
Substituting the values for L and W, this is ..
P = 2(45 +(8x +11)) . . . . expression for length of edge seal
P = 2(8x +56)
P = 16x + 112 . . . . . . simplified expression for seal length
YALL I NEED HELP PLZ
Answer: 6.9
Step-by-step explanation: search sqrt 48
How much simple interest is earned on $6,000 at an interest rate of 4.52% in 4 1/2 years?
Answer:
1220.4
Step-by-step explanation:
S.I.=P×R×T÷100
=6000×4.52×4 1/2÷100
=6000×4.52×9÷2×100
=60×4.52×9÷2
=30×4.52×9
=1220.4
Help me with 19 and 20
19 find x
20 find y
Answer:
19) x = 48
20) y = 21
Step-by-step explanation:
19)
7x - 248 + x + 44 = 180
(because they're supplementary angles)
8x - 204 = 180
8x = 180 + 204
8x = 384
x = 48
20)
2y + 50 + 5y - 17 = 180
7y + 33 = 180
7y = 180 - 33
7y = 147
y = 21
Find the value of x
Answer:
Step-by-step explanation:
The exterior angle (shown) is equal to the two remote interior angles ( the ones marked with values in x).
5x + 2 + 5x = 11x - 11 Combine the terms on the left.
10x + 2 = 11x - 11 Add 11 to both sides
10x + 2 + 11 = 11x
10x + 13 = 11x Subtract 10x from both sides.
13 = x
Simplify the expression
Answer:
[tex] {( - 4)}^{5} \times {( - 4)}^{7} \\ = {( - 4)}^{5 + 7} \\ = {( - 4)}^{12} \\ = 16777216 \\ thank \: you[/tex]
is 53 an improper fraction or a proper fraction?
i need help pleaseee!!
Answer:
[tex]320 \sqrt{2} [/tex]
what does -5/8 ÷ 12=
I tried -5/96 but it did not work
Answer:
Its -5/96 in fraction form and −0.052083 repeating in decimal form.
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Teacher: Who can tell me how to simplify 3 + 5 x 2 – 4?
Student -girl: I think you should do 3 + 5 first and the answer is 12.
Student -boy: I think you do 5 x 2 first and the answer is 9
Teacher: Why did the boy and girl get different answers?
Answer:
3+5×2-4
3+10-4
13-4
9
Step-by-step explanation:
But I solve like this and the answer is 9 I am student girl.
Answer:
The girl didn't follow PEMDAS
Step-by-step explanation:
PEMDAS is the order in which you solve mathematical equations.
Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
If you add before multiplying you'll get a completely different answer.
The boy followed PEMDAS, while the girl didn't.
please help due today
Answer:
aabavcaca
Step-by-step explanation:
fafafadfaf
Find the median of the data. 7, 5, 12, 8, 2, 9, 4
The median of the data is: 7
Which of the following transforms the graph of
y = x2 to the graph of y=x2-77
a translation 7 units to the right
a translation 7 units to the left
translation 7 units down
a translation 7 units up
Answer:
a translation 7 units down
Step-by-step explanation:
the value of -7 will be added to the value of y in the original one ( y = x2) and it will decrease it by 7 units
Answer:
c
Step-by-step explanation:
assignment said so
If the digits A, B and C are added, the sum is the two-digit number AB as shown. What is the value of C?
A
B
+ C
______
AB
Answer:
C=9
Step-by-step explanation:
If A, B, and C are all single digits the mimimum sum for AB would be 10 as it is a two-digit number (or 11 if you do not consider 0 a digit)
AB-(A+B)=C
10-(1+0)=9 or 11-(1+1)=9
therefore C=9
1. After a workout class, Lenia's heart rate
decreases at a rate of 17 beats per minute for
6 minutes. How much did Lenia's heart rate
decrease in the 6-minute period?
Answer:
102
Step-by-step explanation:
17 beats * 6 minutes = 102
Una cisterna con forma de prisma rectangular mide 1.5 m de ancho, 2 m de largo y 1 m de alto. Si está vacía y se vierten en su interior 150 L de agua por minuto, ¿cuánto tiempo tardará en llenarse?
Step-by-step explanation:
V = 1.5 × 2 × 1 = 3 m³ = 3000 L
tiempo = 3000 ÷ 150 = 20 minutos
f(x) = x-4.
find f(b)
Answer:
x0.4
Step-by-step explanation:
length and width of a field are in the ratio 5.3 If the wilth of 아 the field is 42m, then its length is
Answer:
The length of the feild is:
(42 / 3) x 5 = 70m
So the length of the feild is 70m
Hope it helps, Brainliest please <3
PLS HELP ME SLOPE INTERCEPT FORMMM
through: (1, -1), parallel to y=5/3x
Step-by-step explanation:
the slope = 5/3
through (1, -1)
the equation :
y -(-1) = 5/3 (x -1)
y+1 = 5/3 x -5/3
y = 5/3 x -5/3 -1
y = 5/3 x - 8/3 or y = 5/3 x - 2⅔
Amaya wants to jog 8 miles this week.She jogged 2 1/2 miles on Monday and 3 2/5 miles on wednesday. How many miles does Amaya still need to jog?
Answer:
2 1/10 miles.
Step-by-step explanation:
8 - (2 1/2 + 3 2/5)
= 8 - (5/2 + 17/5)
= 8 - (25/10 + 34/10)
= 8 - 59/10
= 80/10 - 59/10
= 21/10
= 2 1/10 miles.
What is 6a +9 ≤ -15?
Answer:
a = -5
Step-by-step explanation:
IF A = -5
6 ( - 5 ) + 9
- 30 + 9
-21
-21 is less than -15 so it works
Find the radius of the two other circles
Answer:
We draw the circles on a coordinate system. We know that a circle is has points that are equidistant from its centerpoint. So the point where these circles are tangent is the midpoint between the centerpoints.
We can use the midpoint formula.
M = ((x1 + x2) / 2 , (y1 + y2) / 2)
M = ((-2 + 6) / 2 , (3 + 9) / 2)
M = (2, 6)
These circles will have the same radii.
If we take the distance between the midpoint and (-2,3), we will have the radius of the circle with this centerpoint.
If we take the distance between the midpoint and (6,9), we will have the radius of the circle with this centerpoint.
Step-by-step explanation:
Help! I don’t get this ine
[tex]3|2x+4|-1=11 \ \ /+1\\\\3|2x+4|=12 \ \ /:3\\\\|2x+4|=4\\\\2x+4=4 \ \ \text{or} \ \ 2x+4=-4\\\\2x=0 \ \ \text{or} \ \ 2x=-8\\\\\boxed{x=0} \ \ \text{or} \ \ \boxed{x=-4}[/tex]
please help, this is geometry
Answer:
Step-by-step explanation:
The formula is the same almost as the previous question you posted.
You want to find the major arc. That's almost the whole circle. If it was the whole circle, the formula would be 2 * pi * r
But we only want a part of it. Just how big is the angle we use in the formula?
A circle has 360 degrees to go around it. We've cut out a slice of it that is 30 degrees.
The remaining part is 360 - 30 = 330
Arc length = angle / 360 * 2 * pi * r
r = 3 m
Arc length = 330 / 360 * 2 * pi * 3
Arc length = 0.9167 * 6 * 3.14
Arc length = 17.27
Find m<1 if <1 is complementary to <2, <2 is supplementary to <3, and
m<3 = 126
Answer:
∠ 1 = 36°
Step-by-step explanation:
Supplementary angles sum to 180° then
∠ 2 + ∠ 3 = 180° , that is
∠ 2 + 126° = 180° ( subtract 126° from both sides )
∠ 2 = 54°
Complementary angles sum to 90° , then
∠ 1 + ∠ 2 = 90° , that is
∠ 1 + 54° = 90° ( subtract 54° from both sides )
∠ 1 = 36°
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Monique has 12$ in her account
If tom had 557 oranges and Billy had 676 more oranges than tom. How many oranges does Billy have.
Answer:
billy has 1233 oranges
Step-by-step explanation:
557+676=1233
you add 557 and 676 to figure out how much billy has
you can check your answer by subtracting 1233-557=676
Answer:
Billy has 1233 oranges.
Step-by-step explanation:
This is a simple, they have this many more than this person has, so an example is the B has 1 book, but Alex has a book collection of 10 books. They both have more than one book, but Alex has 10 books in total, with 9 more than B does.
So, for this question, Tom has 557, and Bill had 676 more than him, so that would mean you need to add 676 and 557 together to get 1233 oranges for just Billy. So that would be our answer.
solve for x pls show your work
1/6x-1/8=11/12
Answer:
6 and 1/4
Step-by-step explanation:
1/6 x - 1/8 = 11/12
First, let's find the least common denominator (24) to make these fractions manageable to work with: 4/24 x - 3/24 = 22/24.
Next, add 3/24 to both sides: 4/24 x = 25/24.
We can cancel out the denominators at this point to get: 4x=25.
Divide both side by 4, and x = 25/4 = 6 and 1/4 or 6.25
find the equation of the line that passes through (1,0) and (0,1)
Answer:
y = -1x + 1
Step-by-step explanation:
- Plug the values into slope formula:
y2 - y1 / x2 - x1
1 - 0 / 0 - 1
1 / -1
= -1
y = -1x + b
1 = -1(0) + b
1 = 0 + b
1 = b
(2sinx+3cosx)²+(3sinx-2cosx)²=13 prove plz
Answer:
LHS:-(4sin²x +9cos²x + 12sinxcosx) +(9sin²x+ 4 cos²x -12sinxcosx)
13 (sin²x + cos²x)
13*1 =
13RHSHP
Answer:
see explanation
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1
Consider left side
(2sinx + 3cosx)² + (3sinx - 2cosx)² ← expand parenthesis using FOIL
= 4sin²x + 12sinxcosx + 9cos²x + 9sin²x - 12sinxcosx + 4cos²x
Collect like terms
= 13sin²x + 13cos²x ← factor out 13 from each term
= 13(sin²x + cos²x)
= 13 × 1
= 13
= right side , thus proven