Answer: The perimeter is 30ft.
Step-by-step explanation:
Let's define:
L = length of the longer side.
S = length of the shorter side.
P = perimeter
we know that for a common rectangle:
P = 2*S + 2*L
We aso know that:
L = 2ft + (1/3)*P
S = (1/10)*P
L = S + 9ft.
So we have a system, let's find the perimeter only using this system (So i will ignore the equation for the perimeter of a rectangle)
First, we can replace the third equation in the first equation, now we have a system with only two equations:
S + 9ft = 2ft + (1/3)*P
S = P/10
Now we can replace the second equation in the first equation, and get:
P/10 + 9ft = 2ft + P/3
Now let's solve this for P.
9ft - 2 ft = P/3 - P/10
7ft = P( 1/3 - 1/10) = P*( 10/30 - 3/30) = P*(7/30)
(30/7)*7ft = P = 30ft.
The perimeter is 30ft.
Una tableta contiene 500 mg de paracetamol, ¿cuántas tabletas se obtendrán con 5kg del mismo medicamento? xfavor ayudenme con explicación y todo lo necesito para el sabado
Answer:
Se pueden obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad de 5 kg del medicamento
Step-by-step explanation:
La cantidad en masa de paracetamol en una tableta = 500 mg de paracetamol / tableta
El número de comprimidos que contienen 500 mg de paracetamol que se pueden obtener a partir de 5 kg del medicamento (paracetamol) se calcula dividiendo los 5 kg del medicamento por los 500 mg de paracetamol / comprimido de la siguiente manera;
[tex]El \ nmero \ de \ tableta = \dfrac{5 \ kg \ paracetamol}{500 \ mg \ paracetamol/tableta }[/tex]
Observamos que 5 kg = 5,000,000 mg
Por lo tanto;
[tex]El \ numero \ de \ tableta = \dfrac{5,000,000 \ mg \ paracetamol}{500 \ mg \ paracetamol/tableta } = 10,000 \ tabletas[/tex]
Por tanto, podemos obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad dada de 5 kg del medicamento.
Squandering Sam has $1,050 in his bank account. Every week he withdraws $40 to buy scratch off tickets. Saving Sally doesn’t have any money now, but is depositing every penny of the $35 a week she makes into a bank account. How many weeks will it take for Sam and Sally to have the same amount of money in their accounts?
Answer:
15 weeks
Step-by-step explanation:
Week 1: 1,050 ≠ 0
Week 2: 1,010 ≠ 35
Week 3: 970 ≠ 70
Week 4: 930 ≠ 105
Week 5: 890 ≠ 140
Week 6: 850 ≠ 175
Week 7: 810 ≠ 210
Week 8: 770 ≠ 245
Week 9: 730 ≠ 280
Week 10: 690 ≠ 315
Week 11: 650 ≠ 350
Week 12: 610 ≠ 385
Week 13: 570 ≠ 420
Week 14: 530 ≠ 455
Week 15: 490 = 490
Which of the following is true about the lines defined by the equations 4x−2y=6 and x+2y=14? .
A.The lines share the same y-intercept.
B.Both lines intersect at point (1,−1).
C.The lines are perpendicular.
D.The lines are parallel.
Answer:
Only: C. The lines are perpendicular.Step-by-step explanation:
4x - 2y = 6 x + 2y = 14
- 2y = - 4x + 6 2y = - x + 14
y = 2x - 3 y = - ¹/₂x + 7
A.
y-intecept: (0, -3) (0, 7)
The lines don't share the same y-intercept
B.
x=1 ⇒ y = 2(1)-3 = -1 and y = -¹/₂(1) + 7 = 6¹/₂ ≠ -1
the line x+2y=14 doesn't go through point (1,−1) so the lines couldn't intersect at point (1,−1)
Slope: m₁ = 2 m₂ = -¹/₂
C.
m₁· m₂ = 2·(-¹/₂) = -1
The lines are perpendicular.
D.
m₁ ≠ m₂ The lines are not parallel
Given m|n, find the value of x.
Answer:
x = 135°Step-by-step explanation:
external angles are equal
therefore, x = 135
A jar contains 50 coins, all either 2 cents or 5 cents. The total value of the coins is $1.87.
How many 2 cents coins are there?
Answer:
there would be 21 cents
Answer:
they would be 21 cents coins
HOPE IT WILL HELP U!
Time taken by three students to cycle a distance of 5500 m is, A took
8 min and 20 seconds, whereas B took 5 seconds more than C, who took
3 seconds less than A. Find their speed and arrange students
in the increasing order of their speed.
(Speed
Distance]
A,B,C
BAC
C, AB
C, B, A
Answer:
C,A,B
20 seconds is 1/3 of a minute
A=8 1/3
B= C + 5
B= 5 1/3 + 5
B= 10 1/3
C=A-3
C=8 1/3-3
C=5 1/3
For what of x is the equation 2(x - 12) + x = 36?
Answer:
The answer is J. 20 substitute it in and it works.
Answer:
J.20
Step-by-step explanation:
pleaseeeee helpppppp
Answer:
(DOWN VOTE)
Step-by-step explanation:
wait what is it?!
What is the value of d? d = 55
d = 75
d = 125
d = 155
Answer:
If you're talking about the parallel line then D=125
~~~Hope this helps~~~ :)
Answer:
125
Step-by-step explanation:
Here is one of the other ones.
write 36/9 in simplest form
Answer:
4
Step-by-step explanation:
36/9=4
there are 4 nines in 36
This diagram of a rectangular city park was drawn using a scale of 1 centimeter to 20 meters
(In the diagram shown, assume each square on the grid is 1 centimeter in length.)
What is the area, in square meters, of the actual park?
What is the scale factor?
Answer:
Scale factor for the drawing from actual park = [tex]\frac{1}{20}[/tex]
Area of the actual park = 1200 cm²
Step-by-step explanation:
Length of the rectangular city park = 5 cm
Width of the rectangular park = 6 cm
Using scale factor 1 cm = 20 meters
Scale factor = [tex]\frac{\text{length of the park in drawing}}{\text{Actual length of park}}=\frac{1}{20}[/tex]
[tex]\frac{5}{\text{Actual length of park}}=\frac{1}{20}[/tex]
Actual length = 5 × 20 = 100 meters
Actual width = 6 × 20 = 120 meters
Area of the rectangular park = length × width
= 100 × 120
= 1200 square meters
Therefore, Scale factor from actual length to the length in drawing = 1 : 20
Area of the rectangular park = 1200 square feet
STATS QUESTION PLEASE HELP AND EXPLAIN!
A least squares regression line was calculated to relate the length (cm) of newborn boys to their weight in kg. The line is weight = -5.58 + 0.1686 length. A newborn was 48cm long and weighed 3 kg. According to the regression model, what was his residual? What does that say about him?
1) WHAT WAS HIS RESIDUAL?
2) WHAT DOES THAT SAY ABOUT HIM? SELECT THE CORRECT CHOICE AND FILL IN ANY ANSWER BOXES TO COMPLETE YOUR ANSWER (round to three decimal places as needed)
a. the newborn weighs ____ kg less than the weight predicted by the regression equation
b. the newborn weighs _____ kg more than the weight predicted by the regression equation
c. the newborn weighs the same as the weight predicted by the regression equation
Answer:
0.487 kg
b.) the newborn weighs 0.487kg more than the weight predicted by the regression equation
Step-by-step explanation:
Given the Regression equation:
Weight = - 5.58 + 0.1686 length
Length of newborn = 48 cm
Actual Weight of newborn = 3kg
Predicted weight from regression model:
Weight = - 5.58 + 0.1686(48)
Predicted Weight = 2.513kg
Hence, residual = (Actual - predicted)
Residual = (3kg - 2.513kg) = 0.487kg
Since the actual weight is more or greater than the predicted weight:
b.) the newborn weighs 0.487kg more than the weight predicted by the regression equation
Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven? PLEASE HELP
Answer:
The sale price was $71.2
Step-by-step explanation:
Answer:
$71.2
Step-by-step explanation:
PLEASE HURRY I HAVE 5 MINUTES
Answer:
x>1 :)))))))))
Step-by-step explanation:
-26+13x>-13x
26x>26
x>1
Answer:
C. x > 1
plz mark as brainliest :DD
what is the solution to this equation?
A. x=-4
B. x= 100
C. x= 4
D. x=-100
Answer:
D. x = - 100Step-by-step explanation:
[tex]\bold{\dfrac x5=-20}\\{}\ \ ^{\cdot5\qquad\cdot5}\\\bold{\dfrac x5\cdot\dfrac51=-20\cdot5}\\\\\bold{x=-100}[/tex]
Which of the following is not a real number?
Answer: A
Step-by-step explanation: common sense
Answer:
its a -2 because its a negative and when u count u dont start with a negative do u?
Step-by-step explanation:
Tyler bought a jacket regularly priced $35.00.
With a 30% markdown and a sales tax of 6%, approximately what is the cost of Tyler's jacket?
Answer:
$25.97
Step-by-step explanation:
You want to find 70% of $35.00 because there is a 30% markdown meaning 70% of the original price. 70% is the same as 7/10.
to get the price after markdown multiply $35.00 by 7/10 which equals $24.5
Multiply $24.5 by .06 to get the sales tax which is $1.47
So the sales tax is $1.47 and the price after markdown is $24.5 so take the sum of both. $1.47 + $24.5 = $25.97
The cost of Tyler's jacket is $23.03.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Tyler bought a jacket regularly priced $35.00.
With a 30% markdown, the cost of jacket is
30% of 35
= 30/100 ×35
= 0.3×35
= 10.5
So, the cost of jacket is 35-10.5=$24.5
Now, sales tax on $24.5
That is, 6% of $24.5
= 6/100 ×24.5
= 0.06×24.5
= 1.47
Cost of jacket is 24.5-1.47
= $23.03
Therefore, the cost of Tyler's jacket is $23.03.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
Which graph represents a function
Answer:
D
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainlies!
Answer:
D is for sure a function and just so you know A is never a function.
Step-by-step explanation:
Work out 252% of 120.
Answer:
302.4
Step-by-step explanation:
252% × 120 =
(252 ÷ 100) × 120 =
(252 × 120) ÷ 100 =
30,240 ÷ 100 =
302.4
Answer: 302.4
Step-by-step explanation:
Write 252% as
252/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
252/100 of 120 = 252/100 x 120 =
Therefore, the answer is 302.4
Jillian burns 187 calories when she runs 2 miles. How many miles will she
need to run to burn 500 calories?
Answer:
I think jillian will have to run 10 miles
Step-by-step explanation:
2 miles = 100 calories
in order to burn 500 calories
2 miles = 100 calories burned
4 miles = 200 calories burned
6 miles = 300 calories burned
8 miles = 400 calories burned
10 miles = 500 calories burned
I WILL MAKE YOU BRAINLESS
Evaluate a/b for a = 1/2 and b = -3/7
please explain your answer
Lines p and m are intersected by transversalt and p // m. Select all the angles that are congruent to Angle 6.
Angle 1
Angle 2
Angle 3
Angle 4
Angle 7
Angle 8
4 ( - 2 - 4 x) = 26 + 6 x
Answer:
X = -1.54 repeating
Step-by-step explanation:
Tracy wants to make 4 curtains. Each requires 54 yards of fabric. How
much fabric does she need?
Pls helpppp!!!!
Answer:
21 yards
Step-by-step explanation:
4*21/4
84/4
21
Answer:
21yards multiplication
Step-by-step explanation:
Given parameters:
Number of curtains = 4
Amount of fabric needed = [tex]5\frac{1}{4}[/tex]yards
Unknown:
How much of fabric is needed = ?
Solution:
A curtain requires [tex]5\frac{1}{4}[/tex]yards = [tex]\frac{21}{4}[/tex]yards
Now to make 4 curtains, we would need [tex]\frac{21}{4}[/tex] x 4 = 21yards.
what is the answer of 3x-5>1/2x+8x?
Answer:
x < -10/11
Step-by-step explanation:
Parallel, Perpendicular
Or Neither
Y = 3x + 1
6x - 2y = 10
Find all the zeroes of the polynomial function
[tex]f(x)=x^3 -5x^2+6x -30.[/tex] If you use synthetic division, show all three lines of numbers.
Answer:
(x -5)(x² + 6)
Step-by-step explanation:
f(x) = x³ - 5x² + 6x - 30
Synthetic division:
5 1 -5 6 -30
0 5 0 30
1 0 6 0
(x - 5) is a factor
f(x) = x³ - 5x² + 6x - 30 = (x -5)(x² + 6)
I need help!!! :))))
Answer:
c
Step-by-step explanation:
Answer:
420-20w = 240
Step-by-step explanation:
She starts with $420 and is taking out $20 a week so in the equation the 20 has to be negative because she is withdrawing instead of adding.
T-shirts cost $4.50 each and shorts cost $6.You have enough money to buy exactly 12 t-shirts and 9 pairs of shorts
How much are you going to spend on shorts?
Answer:
$54
Step-by-step explanation: