Answer:
The amount with which she should increase the length and the with of the sandbox is 2 feet each
Step-by-step explanation:
The dimensions of Melissa's rectangular box are;
Width of the box = 4 feet
Length of the box = 8 feet
The total area of the new sandbox, A = 60 square feet
Let 'x' represent the amount by which she increases the width and lengths of sides that not against the fence, we have;
The area of the new sandbox, A = The new length × The new width
A = 60 ft.²
The new length = 8 + x
The new width = 4 + x
∴ A = 60 = (8 + x) × (4 + x) = x² + 12·x + 32
60 = x² + 12·x + 32
60 - 60 = 0 = x² + 12·x + 32 - 60
∴ x² + 12·x - 28 = 0
(x + 14)·(x - 2) = 0
x = -14 or x = 2
Therefore, the amount she can increase the width and lengths of sides that not against the fence to have make a new sandbox with an area of 60 ft.² is, x = 2 feet
The amount of increase of the length and the width of the sandbox, x = 2 feet each.
A card is drawn from a five-card hand. The cards are labeled A, B, C, D, F. Then a spinner with 3 sections labeled as 1, 2, 3 is spun. What is the sample space?
Answer:
The sample space is the set of all the possible outcomes of a given experiment.
Here, our experiment consists on:
Drawing a card from a five-card hand, such that the outcomes there are:
A, B, C, D, E (5 outcomes)
Followed by spinning a spinner with 3 sections labeled 1, 2 and 3 (3 outcomes).
The total number of outcomes of the combined event, is equal to the product between the numbers of outcomes for each event.
So for our experiment, the total number of outcomes is:
C = 5*3 = 15 outcomes.
And these outcomes are like:
Drawing the card A and spinning a 1 (represented with A-1)
Drawing the card C and spinning a 2 (represented with C-2)
etc.
The set of all possible outcomes are:
{A-1, A-2, A-3, B-1, B-2, B-3, C-1, C-2, C-3, D-1, D-2, D-3, F-1, F-2, F-3}
Write the rule for the following situation
Johnny gets a job at enterprise rent-a-car. He has an hourly wage of $10 per hour and makes $100 for every car he rents out. Assuming he only rents out one car,
write a rule to tell how much money he can make in a day, depending on how many hours he works.
Answer:
M(t) = ($10/hr)t + $100
Step-by-step explanation:
M(t) will represent the amount of money John earns in one day as a function of the number of hours he works, assuming he only rents out one car. Then:
M(t) = ($10/hr)t + $100
Josh started his own lawn maintenance company. He makes $20 on every
lawn that he cuts and his monthly expenses are $325. How many lawns does Josh
need to cut this month so that he can earn a total of $160 after he pays his
monthly expenses?
Aircraft A has 126 more seats than aircraft B. If their total number of seats is 440 , find the number of seats for each aircraft.
Answer:
Aircraft A = 283 seats
Aircraft B = 157 seats
Step-by-step explanation:
Aircraft A = B + 126
Aircraft B
A + B= 440
B + 126 + B= 440
Collect the like terms
B+B+126= 440
2B+126= 440
2B= 440-126
2B= 314
B= 157
Substitute 157 for B in equation 1
A= B+126
A= 157+126
A= 283
Hence Aircraft A has 283 seats and Aircraft B has 157 seats
Luis compra 126 celulares a $268 por cada uno. Cada celular fue vendido a $325 ¿Cuánto dinero gano Luis?
Answer:
Ganancia total= $7.182
Step-by-step explanation:
Dada la siguiente información:
Luis compra 126 celulares a $268 por cada uno. Cada celular fue vendido a $325.
Primero debemos calcular cuanto gana con cada celular:
Ganancia unitaria= 325 - 268
Ganancia unitaria= $57
Ahora, la ganancia total:
Gnanacia total= 57*126
Ganancia total= $7.182
someone please help asap
Answer:
Hello! answer: 135 degrees
Step-by-step explanation:
Its forming a straight line so
180 - 45 = 135 therefore x = 135 hope that helps!
Answer:
Step-by-step explanation:
x+45=180 degree(being straight line)
x=180-45
x=135 degree
An item is regularly priced at $35. Salma bought it on sale for 95% off the regular price. Find how much Salma paid.
Answer:
1.75
Step-by-step explanation:
35x.95=33.25 discount
35-33.25=1.75
ASAP
-WILL MARK BRIANIST
thank you <3
Answer:
d
Step-by-step explanation:
Item 23 Find the sale price. Original price: $50 Discount: 15%
Answer:
42.50
Step-by-step explanation:
50 x.15 =7.50 discount
50 (original price)-7.50 (discount)=42.50 (sales price)
what is the correct claim
Answer:
Claim 1
Step-by-step explanation:
PLEASE HELP ME !! I NEED TO PASS !!
Answer:
216 ft squared
Step-by-step explanation:
[tex]18*12=216ft^{2}[/tex]
on Monday, there were 18 chickens and 12 sheeps in a field. there were no other animals in the field. what was the ratio of chickens to sheep i the field on monday?
Answer:
18:12
Step-by-step explanation:
The ratio of chickens to sheep in the field on monday is 2 : 3.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
Given, On Monday, there were 18 chickens and 12 sheeps in a field.
Therefore, For every 18 chickens there is 12 sheeps in the feild.
So, Monday's chickens to sheep ratio in the field is,
Chicken : Sheep = 12 : 18.
Chicken : Sheep = 4 : 6.
Chicken : Sheep = 2 : 3.
learn more about proportion here :
https://brainly.com/question/7096655
#SPJ2
. Solve: ⅔ x ¾ . Do not forget to simplify! *
Answer:
[tex]\frac{1}{2}[/tex] or 0.5
Step by Step Explanation:
1. Multiply the Numerators and Denominators
[tex]\frac{2}{3}[/tex] [tex]\frac{x}{x}[/tex] [tex]\frac{3}{4}[/tex] = [tex]\frac{6}{12}[/tex]
2. Simplify
[tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]
3. Solution
[tex]\frac{1}{2}[/tex] or 0.5
What describes a statistical sample?
Answer:
Statistical sampling is drawing a set of observations randomly from a population distribution. ... By repeating the sampling operation a large number of times, perhaps 1000, we decrease the sampling error and increase the quality of the estimates.
Answer:
Heya Buddy!Step-by-step explanation:
Statistical sampling is drawing a set of observations randomly from a population distribution. ... By repeating the sampling operation a large number of times, perhaps 1000, we decrease the sampling error and increase the quality of the estimates.
Hope that helps..
Take care..
Bye!
Can someone help me solve this. 6÷2(1+2)=
Answer:
9 is the correct answer
Step-by-step explanation:
please mark me as brainlist for the fast answer thanks
The Box and whisker plot below shows the number of points each member of the middle school basketball team made during the game on Saturday. What was the greatest number of points scored by a basketball player during the game on Saturday?
Answer: You are correct. The answer is C) 7
This is because the max is visually shown by the tip of the right whisker. This assumes there are no large outliers. If there were large outliers, then we'd have island points to the right of the boxplot.
square root of 7396 by division method
Answer:
the square root of 7396 by long division method is 86
Marking brainliest
Why is this right important
The diameter of a circle is 20 ft. Find its area in terms of T.
Answer: A=
ft2
Submit Answer
7
Answer:
314.2ft^2
Step-by-step explanation:
Given data
Diameter= 20ft
Radius r= 20/2= 10ft
The expression for the area is
A= πr^2
A= 3.142*10^2
A= 3.142*100
A= 314.2ft^2
Hence the area is 314.2ft^2
Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at hour 0. Which system of linear equations represents this situation
Answer:
Miguel: d = 23t + 10
Gabby: d = 28t
Step-by-step explanation:
We can write the equation for each case in slope-intercept form, d = mt + b
Where,
d = total distance
t = time
m (rate) = distance/hr
b = initial value
✔️ Miguel:
m = 23 km/hr
b = 10 mile
Equation: subtitle the values into d = mt + b
d = 23t + 10
✔️ Gabby:
m = 28 km/hr
b = 0 mile
Equation: subtitle the values into d = mt + b
d = 28t + 0
d = 28t
Letty has $5 in nickels, dimes, and quarters. She has 3 times as many nickels as dimes, and 5 times as much money in quarters as she does nickels. How many of each does she have?
Answer:
Letty has 15 quarters, 15 nickels, and 5 dimes.
Step-by-step explanation:
Given that Letty has $ 5 in nickels, dimes, and quarters, and she has 3 times as many nickels as dimes, and 5 times as much money in quarters as she does nickels, to determine how many of each does she have the following calculation:
Nickel = 5
Quarter = 25
25/5 = 5
Therefore, Letty has the same number of quarters as she has nickels, and therefore she has three times as many nickels and quarters as dimes.
3 x 0.25 + 3 x 0.05 + 1 x 0.1 = 1
15 x 0.25 + 15 x 0.05 + 5 x 0.1 = 5
Therefore, Letty has 15 quarters, 15 nickels, and 5 dimes.
Write the equation of the line in fully simplified slope-intercept form
does anyone know hot to find the area?
The diagram shows nine identical squares inside a rectangle.
The length of the rectangle is 18cm
Work out the width of the rectangle
Answer:
18 cm
Step-by-step explanation:
Let X represent a square
For it to be a rectangle, needs to be:
X X X
X X X
X X X
(It's a giant square made of squares)
This works since a square is a rectangle, but a rectangle isn't always a square. No other arrangement of the squares lead to a rectangle.
For Example:
X X X X
X X X X X
It doesn't work because there is an odd number of squares, and only would work if it was a multiple of 3,5,7 etc.. and 3 is the only number that fits.
So if the length is 18cm, the width is also 18cm.
Help, please!! I don’t have much time
Answer:
B.
Step-by-step explanation:
which expression is equivalent to 4+x+x+2x+5+3+x?
A.17x
B.5x+14
C.4x+14
D.2x+15x
[tex]\boxed{B.\:5x\:+\:12}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]4 + x + x + 2x + 5 + 3 + x \\ = (x + x + 2x + x) + 12 \\ since \: they \: are \: like \: terms, \: we \: can \: add \: them \\ = 5x + 12[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
please please help!! i don’t know how to do this
Answer:
What is your question I will not see and understand
PLEASE HELP!!! MATH 14.1 The law of sines
Answer:
[tex]\huge\boxed{Law \ Of \ Sines \hookleftarrow}[/tex]
[tex]\huge\bold{\frac{a}{ \sin (A)} = \frac{b}{ \sin \: (B) } = \frac{c}{ \sin \:( C) }} [/tex]
➟ In a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C.
# ꧁❣ RainbowSalt2²2² ࿐
THIS TOO GOD I NEED HELP SO BAD I DONT UNDERSTAND
Answer:
54.7
Step-by-step explanation:
16.7 + 11 + 11 + 8 + 8 = 54.7
Note
I don't know how you are wrong but I showed my work and I got the same answer which is weird.
A coin is flipped 3 times. What is the probability that it lands on heads exactly 3 times? Write your answer as a reduced fraction (numerator/denominator).
Answer:
1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
three tries so your demonater is 3, 1 chance so numerator 1