Answer:
Length = 2 feet
Width = 6 feet
Step-by-step explanation:
Let the length of a flower garden = l feet
And the width of the garden = w feet
Perimeter of the rectangular garden = 2(l + w)
16 = 2(l + w)
l + w = 8
l = 8 - w ---------(1)
Area of the rectangular garden = lw
12 = lw ---------(2)
By substituting the value of length in equation (2)
12 = (8 - w)w
12 = 8w - w²
w² - 8w + 12 = 0
w² - 6w - 2w + 12 = 0
w(w - 6) + 2(w - 6) = 0
(w + 2)(w - 6) = 0
w = -2, 6 feet
Since, width of the garden can't be negative.
Therefore, Width of the garden = 6 feet
From equation (1)
l = 2 feet
Therefore, length of the garden is 2 feet and width is 6 feet.
devide (a2+ 7a+ 12)÷ (a+3)
Answer:
(a - 3) • (a - 4)
Step-by-step explanation:
The first term is, a2 its coefficient is 1 .
The middle term is, -7a its coefficient is -7 .
The last term, "the constant", is +12
Multiply the coefficient of the first term by the constant 1 • 12 = 12
Find two factors of 12 whose sum equals the coefficient of the middle term, which is -7 .
-12 + -1 = -13
-6 + -2 = -8
-4 + -3 = -7 That's it
Rewrite the polynomial splitting the middle term using the two factors, -4 and -3
a2 - 4a - 3a - 12
Add up the first 2 terms, pulling out like factors :
a • (a-4)
Add up the last 2 terms, pulling out common factors :
3 • (a-4)
Add up the four terms
(a-3) • (a-4)
Really hope this helps :)
I dont Know what to put here
But Anwer Pls
Can someone help me find the slope
Answer:
Slope is -2
Step-by-step explanation:
( -3, 7) and ( -2, 5)
Slope:
m=(y2-y1)/(x2-x1)
m=(5-7)/(-2+3)
m = (-2)/1
m = -2
A fast-food restaurant must apply an 8.5% tax on every sale it makes. How much tax must it charge a customer who purchases a total of $18.50 in food?
Answer: $1.57
Step-by-Step Explanation:
Study.com says: “the formula for calculating the sales tax on a good or service is: selling price x sales tax rate, and when calculating the total cost of a purchase, the formula is: total sale amount = selling price + sales tax,” (study.com, How to Calculate Sales Tax).
So, to find the amount of money they are charging for taxes, we need to use the formula: $18.50 x 8.5%. The selling price is the total sum of the purchase, and the sales tax rate is the percentage number that is apply to every sale as taxes.
Here’s how we solve:
1. To multiply, we first need to change our percentage into a decimal by dividing it by 100. —> 8.5/100 = 0.085
2. Multiply the purchase times the sales tax rate, which is converted into a decimal. —> 18.50 x 0.085 = 1.5725
3. Because money only uses the tenths and the hundredths places, we round up. —> 1.5725 ~ 1.573 ~ 1.57
4. Our answer for the tax amount charged in money is $1.57
Hope this helps!
Determine whether the conclusion is valid. Explain.
You want to determine the number of students in your school who have visited a science museum. You survey 50 students at random. Twenty have visited a science museum, and thirty have not. So, you conclude that 40% of the students in your school have visited a science museum.
A. yes; The sample is representative of the population, selected at random, and large enough to provide accurate data. So, the sample is unbiased and the conclusion is valid.
B. yes; The sample is representative of a specific group, selected based on age, and small enough to provide accurate data. So, the sample is biased and the conclusion is valid.
C. no; The sample is not representative of the population because students who are older have had more opportunities to visit a science museum. So, the sample is biased and the conclusion is not valid.
D. no; The sample is representative of the population, selected at random, and too large. So, the sample is unbiased and the conclusion is not valid
Answer:
e
Step-by-step explanation:
e
Find the area of the parallelogram. Pls explain and I will give brainliest!
Answer:
C: 697 in^2
Step-by-step explanation:
Since parallelograms have parallel lines, the 41 in and 33 in have the same area, the 17 inch and the opposite have the same area too.
You don't need any solution for this since this question already gave you the answer without needing to do any calculation except for finding the area of the parallelogram.
41 x 17 = 697in^2
El precio de un auto era de &725000. Me han rebajado un 15% por pagarlo al contado. ¿Cuánto debemos abonar con la rebaja?
Respuesta:
616,250
Explicación paso a paso:
Dado que:
Precio inicial = 725.000
Porcentaje de descuento por pagar en efectivo = 15% = 0,15
El precio con descuento será:
Importe inicial - descuento
Descuento = 0,15 * 725000 = 108,750
Precio con descuento = (725000 - 108750) = 616,250
Solve for the variable: 4x − (9 − 3x) = 8x − 1
Answer:
x = - 8
Step-by-step explanation:
4x - 9 + 3x = 8x - 1
7x - 9 = 8x - 1
7x - 8x - 9 = 8x - 8x - 1
- x - 9 = - 1
- x - 9 + 9 = - 1 + 9
- x = 8
- x ÷ - 1 = 8 ÷ - 1
x = - 8
two hours later than 11:30 is?
A dog is leashed to a tree with a 20 ft rope. If the dog runs around the tree one time, how far has he run?
Answer:
40pi ft or 125.66 ft
Step-by-step explanation:
Find x and y
Show all the work
Answer:
x = 16
y = 116
Step-by-step explanation:
Given is a figure of isosceles trapezoid. One pair of opposite sides are parallel and non-parallel sides acts as it's transversals.
Therefore,
4x° + (6x + 20)° = 180° ( interior angles on the same side of transversal)
(6x + 20 + 4x)° = 180°
(10x + 20)° = 180°
10x + 20 = 180
10x = 180 - 20
10x = 160
x = 160/10
x = 16
Measure of base angles of an isosceles trapezoid are equal.
Therefore,
y° = (6x + 20)°
y = 6x + 20
y = 6*16 + 20
y = 96 + 20
y = 116
The table shows all the possible outcomes for spinning the pointer of the spinner with four equal sized sections labeled 1–4 and another spinner with four equal sized sections labeled A-D. What is the probability that the two pointers will land on an odd number and the letter c? Give the probability as a percent.
Answer:
12.5%
Step-by-step explanation:
There are two types of spinners here and the outcome of them is independent. That means
P(odd number,C) = P(odd number) * P(C)
There are two odd numbers out of four numbers in the first spinner. The chance of odd number will be:
P(odd) = 2/(2+2)= 1/2= 50%
There are four letters and the desired outcome is C. The chance for C will be:
P(C)= 1/4= 25%
Then the chance will be:
P(odd number,C) = P(odd number) * P(C)
P(odd number,C) =50% * 25% = 12.5%
I need helpppppppppp
Answer:
154
Step-by-step explanation:
72 mi 54 mi What is the length of the hypotenuse? miles
Answer and Step-by-step explanation:
[tex]72^2 + 54^2 = C^2\\\\8100 = C^2\\\\90 = hypotenuse[/tex]
#teamtrees #PAW (Plant And Water)
number 7 and number 8
Answer:
Number 7:
connotation: dissimilar from the rest of the group in some ways
denotation: not the same as another or each other; unlike in nature, form, or quality
Number 8:
Neutral
Step-by-step explanation:
Have a good day!
A cylinder with radius 3 feet and height 5 feet is there. What is the volume of the cylinder? Round answer to the nearest hundredth.
Answer:
volume of cylinder
= πr²h
= π×3²×5
= π×9×5
=45π
= 141.37 cubic feet
I don’t know the scale factor at all. Please help
Answer:
[tex]scale \: factor = 6 \div 12 = 0.5 \\ ef = 13 \times 0.5 = 7.5[/tex]
Can someone plz help me this is due im a few hours. And plz answer a) & b) plz
Answer:
a. 840 gals
b. 14 miles per gallon
Step-by-step explanation:
a. 350 ÷ 25 = 14
14 · 60 = 840 gallons
b. 350 ÷ 25 = 14 miles per hour
Which of these numbers has three significant digits?
A. 1.23
B. 0.043
C. 1.020
D. 0.05
Answer:
The answer is A. 1.23
hope this helps!
Answer:
The answer is A. 1.23
Step-by-step explanation:
took the test
HELP PLZ! BRAINLIST WILL BE PICKED!
Answer:
-0.9
Step-by-step explanation:
hope this helps lovely! lmk if you need an explanation!
What is 42x39 long Muliply
Answer:
1638
Step-by-step explanation:
Will mark brainliest- please help! find x
Answer:
15
Step-by-step explanation:
Assuming x is the length DB
Δ DSR and Δ DBC are similar, so ratios of corresponding sides are equal, that is
[tex]\frac{DB}{DS}[/tex] = [tex]\frac{DC}{DR}[/tex] , substitute values
[tex]\frac{DB}{10}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )
8 DB = 120 ( divide both sides by 8 )
DB = 15
That is x = DB = 15
please help!!!!!!!!!
3/4 + 5/7
= 21/28 + 20/28
= 41/28
= 1 13/28
Answer:
3/4 + 5/7 = 41/28 = 1 13/28 ≅ 1.4642857
Step-by-step explanation:
3/4 + 5/7 = 41/28 = 1 13/28 ≅ 1.4642857
Spelled result in words is forty-one twenty-eighths (or one and thirteen twenty-eighths).
About 90 percent of seventh graders prefer texting to emailing. In a
sample of 550 seventh graders, how many do you predict will prefer
texting? Use the following picture to help you work out the problem.
0.9 x 550 =
seventh graders will likely prefer texting.
Please help my last question was botted
answer
the last one unshaded from 75 moving towards 76
Step-by-step explanation:
it says h is greater than 75.5 so it should not be shaded ......sorry my keyboard dosent have those mathematical symbols
Help Me Plzzzzz
Which fraction has the same decimal representation whether it is truncated or rounded to two decimal places?
A) 1 /3
B) 1 /6
C) 2 /3
D) 5/ 9
Step-by-step explanation:
wheres the decimal to compare it to
what is the slope of a line parallel to the line whose equation is y= -5/2x+7. fully simplify your answer
Answer:
-5/2
Step-by-step explanation:
7=intersect of y
-5/2=Slope
Please help, tbh I forgot to solve this. Thank you :)
The answer is D) $60
one more help How can you figure out the length of the dotted line that connects the two endpoints of the half circle?
Answer: Multiply the radius of the half circle by 2.
Step-by-step explanation: The dotted line that connects the two endpoints of the half circle is the diameter of the circle. To find the diameter of the circle, you will need to multiply the radius of the half circle by 2, since the radius is half of the diameter.
Find an equation of the line through (2,8) and parallel to y=3x-3
Answer:
8=3(2)-3
Step-by-step explanation:
change y to 8 and x to 2