Answers
Answer:
l = 104/3
w = 40/3
Step-by-step explanation:
l = 2*w + 8
P = 2(l + w) = 96
48 = l + w
2w + 8 + w = 48
3w = 40
w = 40/3
l = 2*40/3 + 8
= 80/3 + 8
= 80 + 24 / 3
= 104/3
Related Questions
Express the given in terms of the logarithms of prime numbers:
[tex]log_{4} 405[/tex]
[tex]log_{7}(\frac{8}{81} )[/tex]
Answers
The required expression in terms of logarithm of prim numbers are;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
Prime numbers are numbers that can only be divisible by 1 and itself.
From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers
405 = 3 * 3 * 3 * 3 * 5
405 = 3^4 * 5
8= 2* 2 * 2
8 = 2^3
81 = 3 * 3 * 3 * 3
81 = 3^4
The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
Similarly;
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
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At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.
The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.
2x + 3y = 1240
x = 2y – 10
How many of each type of ticket were sold?
180 food tickets and 293 ride tickets
180 food tickets and 350 ride tickets
293 food tickets and 180 ride tickets
350 food tickets and 180 ride tickets
Answers
Answer:
180 food tickets and 350 ride tickets
Step-by-step explanation:
The number of food tickets sold is 180 and ride tickets is 350.
In order to determine how many of each type of ticket was sold, the two equations given have to be solved simultaneously using the substitution method.
2x + 3y = 1240 equation 1
x = 2y – 10 equation 2
Substitute for x in equation 1
2(2y -10) + 3y = 1240
4y - 20 + 3y = 1240
Combine similar terms
7y = 1240 + 20
7y = 1260
Divide both sides of the equation by 7
y = 1260 / 7
y = 180
Substitute for y in equation 1
2x + 3(180) = 1240
2x + 540 = 1240
2x = 1240 - 540
2x = 700
x = 700 / 2
x = 350
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Answers
Answer:
the answers you chose are correct.
Step-by-step explanation
b and d
Complete the recursive formula of the arithmetic sequence -1, -13, -25, -37
a ( 1 ) =
a ( n ) = a ( n-1 ) +
Answers
Answer:
see explanation
Step-by-step explanation:
A recursive formula allows the next term in a sequence by adding the common difference d to the previous term.
d = a₂ - a₁ = - 13 - (- 1) = - 13 + 1 = - 12 , then
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 12 with a₁ = - 1
A local cable TV company charges $4 for older movies and $8 for current movies, plus a monthly fee of $30. In July, Kendra ordered 5 older movies and 3 current movies.
True or False: The equation below can be used to solve the problem.
c = (5 x 4) + (3 x 8) + 30
Answers
Answer:
I'm past that level of math. Here's the answer:Letter B
Step-by-step explanation:
Please see help, please
Answers
Answer:
69
Step-by-step explanation:
420
what's the slope and y-intercept for -30+10y=-2x ?
Answers
Answer:
XDDDDDDDDDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
LOL
Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is the least number of lawns that he can cut and buy the computer? Which inequality represents the problem?
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equation representing the given statement is ~
[tex]50x + 330 \geqslant 820[/tex]The least number of lawns that he can cut and buy the computer is 10 lawns ~
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Total savings should be greater or equal to $ 820 in order to buy the computer,
And his total savinga is equal to ~
Money he saved + money got from cutting lawns.
let's assume the lawns cut by Tyrod be x,
Money earned by cutting lawns is equal to
total number of lawns cut × $5050xtotal savings is equal to ~
330 + 50xhence,
[tex]50x + 330 \geqslant 820[/tex]by solving for " x (number of lawns cut) " we get ~
[tex]50x \geqslant 820 - 330[/tex][tex]50x \geqslant 490[/tex][tex]x \geqslant 490 \div 50[/tex][tex]x \geqslant 9.8[/tex]Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is
[tex]10[/tex]
Type the expression that results from the following series of steps:
Start with z and add 5.
Answers
Given that
2
x
−
9
y
=
11
Find
y
when
x
=
7
Answers
Answer:
y = 1/3
Step-by-step explanation:
[tex]2x-9y=11\\\\2(7)-9y=11\\\\14-9y=11\\\\-9y=-3\\\\y=\frac{1}{3}[/tex]
2 1/5
Step-by-step explanation:
Any where u see x u write 7;2(7)-9y=11
14-9y=11
Divide both sides by the difference of 14 and 9y
11/5y ; y=2 1/5
need help please 100 pts
Answers
Hope this helps
Answer:
b)
Step-by-step explanation:
Teacher Kaye is saving ₱2,000 every month by depositing it in a bank that gives an interest of 1% compounded quarterly. How much will she save in 5 years?
Answers
Answer:
1,23,098
Step-by-step explanation:
............
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
Answers
Answer:
-146
Step-by-step explanation:
so it seems that the sequence is moving down by 5, so therefore the sequnce would be as follows
9, 4, -1, -6, -11, -16, -21, -26, -31, -36, -41, -46, -51, -56, -61, -66, -71, -76, -81, -86, -91, -96, -101, -106, -111, -116, -121, -126, -131, -136, -141, -146
the 32nd term would be -146
What is the length of the radius of a circle if the equation for the circle is (x + 2)2 + (y - 9)2 = 22.09?
Answers
Answer:
The radius is 4.7 units.
Step-by-step explanation:
To answer this we need only find the square root of 22.09: 4.7
The radius is 4.7 units.
Picture has it Solving Quadratics & Other Equations
Answers
Answer: p=6 and r=8
Step-by-step explanation:
A) Add exponents when multiplying: [tex]x^{4}[/tex] * [tex]x^{2}[/tex] = [tex]x^{6}[/tex] p = 6
B) Multiply exponents when raised to a power: r = 8
What is the length of the diagonal of the square shown below?
5
45°
5
5
90°
5
A. V5
B. 5
C. 55
D. /10
E. 52
F. 25
Answers
Answer:
E
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the diagonal ( hypotenuse ) be d , then
d² = 5² + 5² = 25 + 25 = 50 ( take square root of both sides )
d = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex] → E
please help me with this question!!
Answers
Answer:
Step-by-step explanation:
9/50 // 12 / 1 You have a 4 tier fraction here. You must invert the denominator (12/1) and multiply
9/50 * 1/12 Cancel 3 in the 9 and 3 in the 12
3/50 * 1 / 4 Multiply the numerators together and the denominators together.
3 / 200 each bottle with have 3/200 L or 1.5 / 100 L syrup in it.
1.5 / 100 L = 1.5 * 10 / 100 * 10 = 15 mL of medication in each bottle.
One theme in “Thank You, Ma’am” is that respectful treatment encourages mutual respect. Which passages from the story support this theme?
Select all that apply.
Thank You, Ma’am
He did not trust the woman not to trust him. And he did not want to be mistrusted now.
He did not trust the woman , not, to trust him. And he did not want to be mistrusted now.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
“Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink.
Answers
Answer:
Either B. 'The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him' or A. 'He did not trust the woman not to trust him. And he did not want to be mistrusted now.'.
Step-by-step explanation:
Brainliest Please!The passages from the story "Thank You, Ma'am" that support the theme that respectful treatment encourages mutual respect are: "The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him." "The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next." and "Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink." Correct options are 2, 3 and 4.
These passages highlight how the woman treats the boy, Roger, with kindness and respect despite his attempt to steal her purse. Her understanding and respectful treatment lead Roger to reflect on his actions and ultimately decide to follow her guidance. This illustrates how respectful treatment encourages mutual respect between the characters.
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Which is the correct translation of the sentence into an equation?
Four less than a number is 12.
A: n-12=4
B: n-4=12
C: 4-n=12
D: 12-n=4
Answers
Answer:
B
Step-by-step explanation:
n is a number. 4 less then that number translates to n-4, so the answer is B:
n-4=12
Hope that helps! :)
Answer:
C: n-4= 12
Step-by-step explanation:
To understand why this answer is correct, lets break down the sentence.
Four less = [tex]4-[/tex]The part "than a number" can be represented as n as in math, unknown numbers are variables in order to isolate them to and figure out their values. "is 12" will represent the sum of the equation as the sentence is clarifying that that 4 minus the variable n is equal to 12.Revised Answer: n-4=12 is actually the answer as n can be any quantity, and n -4 =12 literally means n + (-4) = 12.
Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(3.5, 8.2) and (2, 7.3)
a.
y = negative 0.6 x minus 6.1
b.
y = 0.6 x minus 6.1
c.
y = negative 0.6 x + 6.1
d.
y = 0.6 x + 6.1
Answers
Answer:one way is to simply use slope intercept form or point slope form
point slope: y-y1=m(x-x1) where m=slope and you are given a point (x1,y1)
slope intercept: y=mx+b where m=slope and b=yintercept
slope=(y2-y1)/(x2-x1) when given points (x1,y1) and (x2,y2)
we are given
(3.5,8.2) and (2,7.3)
slope=(7.3-8.2)/(2-3.5)=-0.9/-1.5=0.6
slope=0.6 or 6/10
point slope
use any point
y-y1=m(x-x1)
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
slope intercept wouold be point slope but solve for y by distributing m and adding y1 to both sides
take first one
y-7.3=0.6(x-2)
y-7.3=0.6x-1.2
add 7.3 both sides
y=0.6x+6.1
equation is
POINT SLOPE FORM:
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
SLOPE INTERCEPT FORM:
y=0.6x-6.1
Step-by-step explanation:
Find the midpoint of the following
two coordinates:
(3, 1) and (5,5)
Hint: x1 + x2 Y1 + y2
2.
9
2.
A. (3, 4)
B. (2, 4)
C. (4,3)
Answers
Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.
Answer:
C, just use the formula.
Step-by-step explanation:
What is the standard form of this expression?
(1 + 71i)(3 - i)
Answers
the standard form of this expression is
(72+3)(-i)
12÷5/2=
Tell the answer quick!!
Answers
Answer:
4.8
Step-by-step explanation:
Answer:
4.8
Step-by-step explanation:
mark braineist pls
Can someone help me out with this please
Answers
Answer:
a. $4200
b. $32,300
c. $5814
d. $30,686
e. 2557.17
Step-by-step explanation:
a.The man can claim all of the allowances shown in the problem statement, except the single person's allowance.
total allowances = married + young child + child in school + dependent relative
total allowances = $2400 +500 +1000 +300 = $4200
__
b.The man's taxable income is his income after allowances have been deducted:
taxable income = gross income - allowances
taxable income = $36,500 -4,200 = $32,300
__
c.The tax is found by multiplying the tax rate by the taxable income.
tax = (tax rate) ×(taxable income)
tax = 0.18 × $32,300 = $5,814
__
d.The net income is the gross income less the taxes paid.
net income = gross income - tax paid
net income = $36,500 -5,814 = $30,686
__
e.The man's net monthly salary will be 1/12 of his annual net income.
net monthly salary = $30,686/12 ≈ $2,557.17
What is the solution to the equation 4 = 6? y = 1 y = 4 y = 500 y = 2000.
Answers
5. Which pair of trig functions are equivalent?
(20 Points)
sin 23. sin 67
cos 41. sin 41
cos 58, sin 122
cos 76, sin 14
WILL MAKE BRAINLIEST IF CORRECT <3
Answers
Answer: cos(76°) ---> sin(14°)
What is 0.375 as a whole percent?
Answers
Answer:
0.375 is 37.5 % of 1
Step-by-step explanation:
Find the measure of the exterior angle.
Answers
Answer:
125
Step-by-step explanation:
75 + 50
$6.00 for 3 chocolate bars how many did he pay per bar
Answers
Answer:
$2.00
Step-by-step explanation
To solve this problem, divide $6 by 3 bars which is $2 a bar
Answer:
One bar= $2
Step-by-step explanation:
6 is the amount paid, 3 is the amount of bars he got. so to find the amount for one bar you divide, 6÷3= 2
15 POINTS! NEED ANSWER RIGHT AWAY!!!
Select from the drop-down menus to correctly complete the statements about the expression 5k + m/3.
The expression 5k + m/3 is a Choose… [sum or difference]. The term 5k is an addend, but it is also a Choose…[product or difference]. The term m/3
is an addend, but it is also a Choose…[sum or quotient].
Answers
Answer:
911
Step-by-step explanation:
The expression 5k+m3 is a sum. The term 5k is an addend, but it is also a product. The term m3 is an addend, but it is also a quotient.