Answer:
3 1/3
Step-by-step explanation:
Answer: 3-1/3.
1. Convert the second fraction into a reciprocal. 3/7 turns in 7/3.
2. Multiply the fractions; multiply the denominator with the denominator and the numerator with the numerator. 3/7 x 7/3 = 70/21.
3. Simplify the result; divide both the numerator and denominator by 7 (their common multiple). 70/7 = 10, and 21/7 = 3. So, now you have 10/3.
4. Convert the reciprocal fraction. 10/3 = 3-1/3.
How much interest is earned in 2 years on an investment of $2,000? The interest rate is 3%. Use the formula I=Prt.
Answer:
I = $ 120.00
Step-by-step explanation:
I = 2000 × 0.03 × 2 = 120
Craig has 140 yards of fencing with which to make
a rectangular garden area. One side of the
rectangular garden will be the side of the Craig's
house. Find the length and width for a maximum
garden area.
*More than one answer may be correct; check all that apply.
BELOW ARE ALL OPTIONS:
Maximum Area: 2450 yards^2
Dimensions: 35 yards by 70 yards
Maximum Area: 1225 yards^2
Maximum Area: 4900 yards^2
Dimensions: 35 yards by 35 yards
Dimensions: 35 yards by 140 yards
9514 1404 393
Answer:
Maximum Area: 2450 yards^2Dimensions: 35 yards by 70 yardsStep-by-step explanation:
If the side parallel to the house is x, then the sides perpendicular to the house are each half of the remaining fence: (140-x)/2.
The area is the product of length (x) and width (140-x)/2, so is ...
A = x(140-x)/2
This is the equation of a parabola that opens downward. Its vertex (maximum) will lie where x is halfway between the zeros of 0 and 140. That is, x=70 will give the largest area. The width of the garden area at that point will be ...
(140 -70)/2 = 35
So, the dimensions of the garden with maximum area are 35 yards by 70 yards. The maximum area is the product of these dimensions, 2450 yd².
_____
Additional comment
The maximum area will be found where the cost of fence parallel to the house is equal to the cost of fence perpendicular to the house. Here, that's 70 yards of fence (half the 140 yd total) in each of those directions. The same remains true if some of the fence is used for partitioning the interior of the fenced space. (Of course, if fence is used on all sides, the shape becomes a square--unless cost factors cause it to be otherwise.)
We find this problem a bit interesting in that a house 210 feet long is somewhat unusual.
Use factoring to find the zeros of the following function:
f(x)=5x^3-7x^2-45x+63
Answer:
-3, +3, 7/5
Step-by-step explanation:
(5x³-7x²)+(-45x+63)=0
X²(5x-7)-9(5x-7)=0
(X²+9)(5x-7)=0
Either x²-9=0
X²=9 so x=+3 and -3
Or 5x-7=0
5x=7 so x=1.4 (or 7/5)
what is the y- intercept of the function f(x) = -2/9x + 1/3
Answer:
the y-intercept is (0, 1/3)
Step-by-step explanation:
beat me up if it's wrong !
Assume the random variable X is normally distributed with mean = 50 and standard deviation = 7. Compute the probability, P(X > 35). Be sure to draw a normal curve with the area corresponding to the probability shaded.
Answer:
P [ X > 35 ] = 0,983 or P [ X > 35 ] = 98,3 %
Step-by-step explanation: See Annex valid region for 98,3 in red lines
P [ X > 35 ] = 1 - P [ X ≤ 35 ]
P[ X ≤ z ] = ( X - μ₀ ) / σ
P [ X ≤ 35 ] = ( 35 - 50 ) / 7
P [ X ≤ 35 ] = - 15 / 7
P [ X ≤ 35 ] = - 2,1428
We find for z(score) = - 2,14 in z-table the value of 0,01618
P [ X ≤ 35 ] = 0,01618 or P [ X ≤ 35 ] ≈ 1,62 %
And
P [ X > 35 ] = 1 - 0,01618
P [ X > 35 ] = 0,983 or P [ X > 35 ] = 98,3 %
Last time on this app I need y’all to Awnser this question for meeeee !!
Answer: It should be D
Step-by-step explanation:
Answer:
i think its 3
Step-by-step explanation:
Marisol has enough tile to cover a square portion of her patio with an area of 225 ft2. What will be the side lengths of her design?
15 ft
45 ft
113 ft
450 ft
Answer:
Side lengths = 15 ft²
Step-by-step explanation:
Given:
Area of square = 255 ft²
Find:
Side lengths
Computation:
Area of square = side x side
Area of square = 255 ft²
Side lengths = √Area of square
Side lengths = √255
Side lengths = 15 ft²
A package of 6 pairs of insulated gloves costs 38.34. What is the unit price of the pairs of gloves?
Answer:
6.39
Step-by-step explanation:
divide the total cost by the total amount of the item for the unit price:
38.34/6=6.39
2(x+3)+3x-10=
Answer please
Answer:
Simplifying
2(x + 3) + 3x + -10 = 0
Reorder the terms:
2(3 + x) + 3x + -10 = 0
(3 * 2 + x * 2) + 3x + -10 = 0
(6 + 2x) + 3x + -10 = 0
Reorder the terms:
6 + -10 + 2x + 3x = 0
Combine like terms: 6 + -10 = -4
-4 + 2x + 3x = 0
Combine like terms: 2x + 3x = 5x
-4 + 5x = 0
Solving
-4 + 5x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 5x = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 5x = 0 + 4
5x = 0 + 4
Combine like terms: 0 + 4 = 4
5x = 4
Divide each side by '5'.
x = 0.8
Simplifying
x = 0.8
Step-by-step explanation:
Please help I have to do this in class!!!!
What is the area of the irregular figure below?
A figure can be broken into a parallelogram and triangle. The parallelogram has a base of 22 centimeters and height of 10 centimeters. The triangle has a base of 14 centimeters and height of 10 centimeters.
290 Centimeters squared
360 Centimeters squared
3,960 Centimeters squared
7,920 Centimeters squared
Answer: 290!
Step-by-step explanation:
Answer:
290 is the answer
Step-by-step explanation:
I know this is old
Identify the slope (m) for y=−7x.
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is −7 .
Step-by-step explanation:
Which of the following is the best estimate of 12 18/21? A. 12 B. 12 1/2 C. 13 D. 13 1/2 I NEED HELP PLS
Can someone help me with this and try to show the steps
Answer:
x1=-8;x2=8Step-by-step explanation:
[x]=8
x=8
x=-8
Which of the following is equivalent to x^-1/2
1) -1/2x
2) -√x
3) 1/√x
4) -1/2x
Answer:
Option (3) is correct.
Step-by-step explanation:
We need to find the expression that is equivalent to [tex]x^{-1/2}[/tex].
The property is : [tex]x^{-a}=\dfrac{1}{x^a}[/tex]
Here, a = 1/2
So,
[tex]x^{-1/2}=\dfrac{1}{x^{1/2}}[/tex]
We know that, [tex]x^{1/2}=\sqrt{x}[/tex]
[tex]\dfrac{1}{x^{1/2}}=\dfrac{1}{\sqrt{x} }[/tex]
So, [tex]x^{-1/2}[/tex] is equivalent to [tex]\dfrac{1}{\sqrt{x} }[/tex]
Hence, the correct option is (3).
Help!!!!!! Please thanks
As you can see in the image below, the answer is graph C.
Jessica and Nancy are members of different video game libraries. Jessica pays a membership fee of $40, and she pays $5 for every video game she rents. The following function shows the total amount of money, y, in dollars, that Nancy pays for renting x number of video games: y = 4x + 30.
How many more dollars does Jessica pay for a membership fee than Nancy?
$1
$4
$10
$36
6 dived by 3.24 inned this answer pls heklp mr
Answer:
1.85
Step-by-step explanation:
I think this is the answer your looking for ??
PLEASE HELP ASAP!!!!
A
B
C
D
Answer:
D
Step-by-step explanation:
D
Answer:
it's D. hjjnniikkkkkkk
The table below shows the cost per pound of different vegetables. Prices of Vegetables Vegetable Cost (per pound) Potatoes $3.89 Squash $4.68 Carrots $1.67 Cucumbers $2.59 What is the estimated cost for 4.5 pounds of cucumbers? O $10 O $15 0 $16 O $25
Answer:
$10
Step-by-step explanation:
The exact number is $11.65 which is closet to $10
Answer:
The answer is $10
Step-by-step explanation:
Hope this helped! :)
ASAP Find the slope of The ordered pairs (0,-17),(2,13)
Answer:
m=15
Step-by-step explanation:
Answer:
1 5
Step-by-step explanation:
the value of an investment decreased by 10%. The original amount of the investment was $75 what is the current value of the investment?
Answer:
67.5
Step-by-step explanation:
What is the value of f?*
What is the area of the triangle?
Answer:
your answer is B (14)
Step-by-step explanation:
add 6+8=14
brainliest?
Answer:
24 cm
Step-by-step explanation:
area of a triangle is 1/2 BH
Given [12 -13 17 -22] [x y] = [7 -51] what is |Ay|?
Please help
Answer:
Step-by-step explanation:
It's not c or d. It's not much but I hope it helps.
Answer:
I think it’s B on edge
Step-by-step explanation:
A pound of chocolate costs 7 dollars. Pablo buys p pounds. Write an equation to represent the total cost c that Pablo pays.
Х
?
8c=phope
Step-by-step explanation:
Hope this helps!!!
mark me brainleist
Answer:
$7 per pound
p * $7 = c
- or -
7p = c
Explain how to get the answer please
Answer:
y=8.50x+0.25
Step-by-step explanation:
She/he starts off with 8.50 and throughout the week she can earn 0.25 per joke. We don't know how many times a joke is made so it would be an x.
Answer: b 8.50+0.25 divoide it by 0.25 th3n do the eqathion back words
i need help with this problem
Answer:
C
Step-by-step explanation:
in trangle NET the angles are 81 and 34 so the other angle must be 180-81-34=65, the other triangle has the same measurments for angles 81-34-65 so the triangles are similar because of AA similarity theorem
ΔHMJ~ΔNET by AA similarity
Please help me!!!! I really need it
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
x/2 + 3 = 5
Step 2: Solve for x
Subtract 3 on both sides: x/2 = 2Multiply 2 on both sides: x = 4
A rectangle has a perimeter of 22 feet. The width is 5 feet less than the length. Find the length and the width of the rectangle
