The time it would take Shirley to mow the lawn alone is 3 hours
How to determine the value
From the information given;
Let Shirley's working hours be x
Let Pam's working hours be y
We have that;
Shirley and Pam work 6 hours together, this is expressed as;
x + y = 6
Given that Pam work 3 hours alone, we have;
y = 3
Substitute the value of y as 3 in the equation
x + 3 = 6
x = 6 - 3
x = 3
Thus, the time it would take Shirley to mow the lawn alone is 3 hours
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Given the recursive formula shown, what are the first 4 terms of the sequence?
f(n)=
f(1) = 3
(f(n)=f(n-1)+4 if n>1
OA) 3, 7, 11, 15
B) 4, 7, 10, 13
C) 3, 9, 11, 13
D) 3, 8, 10, 12
Answer:
Option A: 3, 7, 11, 15
Step-by-step explanation:
f(2) = f(1) + 4 = 3 + 4 = 7
f(3) = f(2) + 4 = 7 + 4 = 11
f(4) = f(3) + 4 = 11 + 4 = 15
f(5) = f(4) + 4 = 15 + 4 = 19
Simplify.
√45z +√/20z
Assume that the variable represents a positive real number.
Answer:
=5√5z
Step-by-step explanation:
√45z +√/20z
√3*3*5z + √2*2*5z
= 3√5z+2√5z
=3+2√5z
=5√5z
On a number line, the coordinates of X, Y, Z, and W are -8, -4, 3, and 9, respectively.
Find the lengths of thetwo segments below. Then tell wethwr they are congruent.
___ ___
XY and ZW
___
The length of XY is ___
___
The length of ZW is ___
The length of XY is 4, the length of ZW is 6 and the lengths are not congruent
How to find the lengths of the two segments?The coordinates of the points are given as:
X, Y, Z, and W = -8, -4, 3, and 9,
The above means that
XY = |Y - X|
ZW = |W - Z|
So, we have
XY = |-4 + 8| = 4
ZW = |9 - 3| = 6
Hence, the length of XY is 4, the length of ZW is 6 and the lengths are not congruent
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four boys hiked a distance of 2.53 km from manila south cemetery to washington sycip park. round the distance to the nearesr tenths
Answer:
2.5
Step-by-step explanation:
Mu choices are 2.5 or 2.6 .
2.53 would be closer to 2.5 than to 2.6
The distances would be
2.50, 2.51. 2.52, 2.53, 254. 2.55, 2.56, 2.57, 2.58, 2.59, 2.60
Another name for 2.5 would be2.50 and another name for 2.6 would be 2.60. Do you see from the list above that 2.53 would be closer to 2.50 than 2.60
Find a pair of real number whose sum and product are both 12
The real number whose sum and product are both 12 area 1.101 and 11.899
A quadratic formula that provides the solutions of the final equation ax2 + bx + c = zero which is typically written within the form x = (-b ± √(b2 − 4ac))/(2a) ...(1)Let first number be " x "
Let other number be " 12 - x "
According to the question the product of two numbers is 12 which is given by x(12 - x) = 12
12x - x² = 12
x²- 12x + 12 = 0
Using quadratic formula , we get
Put a = 1 , b = -12 , c = 12 in equation (1) , we get
[tex]\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(12)} }{2(1)} \\\\\frac{12\pm\sqrt{144-48} }{2} \\\\\frac{12\pm\sqrt{96} }{2} \\\\\frac{12\pm9.79 }{2} \\\\[/tex]
Two numbers are 12 + 9.79 / 2 = 1.10 and 12 - 9.79/2 = 10.89
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150 is 96 percent of what number
Answer:
Step-by-step explanation:
Comment
Let the unknown number = x
You should try and figure out if x is bigger than 150 or less than 150.
The equation will tell you.
96/100 * x = 150 96/100 = .96 So you will get something larger than 150 for x
Combine
96/100 = 0.96
Equation
.96*x = 150 Divide by 0.946
.96x/.96 = 150/0.96
Answer
x = 156.25
And as predicted, the answer is larger than 150, because you were dividing by a number less than 1
You want to put a 2 inch thick layer of topsoil for a new 25 ft by 34 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
the answer is d just did it
Choose the numbers that are equivalent to two and seven fifteenths.
fourteen fifteenths, 2.46 repeating where the 6 is repeating, 246.6%
fourteen fifteenths, 2.715, 271.5%
thirty-seven fifteenths, 2.46 repeating where the 6 is repeating, 246.6 repeating percent where the 6 is repeating
thirty-seven fifteenths, 2.715, 271.5%
The numbers that are equivalent to two and seven fifteenths are; thirty-seven fifteenths, 2.46 repeating where the 6 is repeating
How to simplify mixed fractions?
We want to find the numbers that are equivalent to two and seven fifteenths. This fraction is a mixed fraction and can be expressed as;
2⁷/₁₅
Converting this to an improper fraction gives us;
37/15
Now, in the first mixed fraction, we can turn the fraction into decimal like this; 2 + 7/15 = 2 + 0.46666 = 2.466666....
Thus, looking at the given options, the only correct option is;
C: thirty-seven fifteenths, 2.46 repeating where the 6 is repeating
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the peremiter of a parallelogram is 56 meters The width of the parallelogram is 4 meters less than its length find the length and the width of the parallelogram
The length of the parallelogram is 16 m and the width of the parallelogram is 12 m.
We are given that the perimeter of a parallelogram is 56 m.
Let the length of the parallelogram be x meter.
So, we get that the width of the parallelogram will be = x - 4 meter.
We also know that:
Perimeter of parallelogram = 2 ( l + b )
Substituting the values in this, we get that:
56 = 2 ( x + x - 4 )
56 = 2 ( 2 x - 4 )
28 = 2 x - 4
2 x - 4 = 28
2 x = 28 + 4
2 x = 32
x = 16
Length = 16 m
Width = 16 - 4 = 12 m
Therefore, the length of the parallelogram is 16 m and the width of the parallelogram is 12 m.
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Convert 50°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=5/9(F-32)
F=9/5C+32
Answer:
10°C
Step-by-step explanation:
F = 50
C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10
Pls help show work pamdas
Answer:
Answer is -4
Step-by-step explanation:
To solve this, you want to substitute the values of x and y. So, 2(-3)^2-5(-3)(-2)-(-2)^3 which will give you -4.
4x-6*x=238
solve for x
Answer:
x=-119
Step-by-step explanation:
[tex]4x-6x=238[/tex]
[tex]-2x=238[/tex]
[tex]\frac{-2x}{-2}=\frac{238}{-2}[/tex]
[tex]x=-119[/tex]
a = 18t + 5 4) Leo made an initial deposit to a savings account. Each week thereafter, he deposited a fixed amount into the account. The equation above models the amount, a, in dollars, that Leo has deposited after t weekly deposits. According to the model, how many dollars was Leo's initial deposit? (Disregard the $ sign when gridding your answer.) 5 6 8 9
According to the model, Leo's initial deposit was $0
According to the model, how many dollars was Leo's initial deposit?The model is given as
a = 18t + 5
When he makes his initial deposit, the value of t is
t = 0
i.e. this represents his balance before he starts saving on a weekly basis
Substitute 0 for t in the equation a = 18t + 5
So, we have
a = 18 * 0 + 5
Evaluate
a = 5
Hence, Leo's initial deposit was $0
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In a sample of 10,000 observations from a normal population, how many would you expect to lie beyond three standard deviations of the mean? Group of answer choices About 100 About 127 None of them About 27
Around 27 of the observations are expected to lie beyond this interval.
Given data values of 10000 observations, 0.27 percent of 10000 is 0.27∗10000100=27. 0.27 ∗ 10000 100 = 27.
A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.
The numbers in between any two particular provided numbers are referred to as an interval. For instance, the interval containing 0, 5, and all values between 0 and 5 is the set of numbers x satisfying 0 x 5.
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What's the current temperature? 5 + (-12) = ?
Answer:
-7
Step-by-step explanation:
To add a positive number, 5, and a negative number, -12, take the absolute value of both numbers.
You get 5 and 12.
Subtract the smaller absolute value from the larger absolute value.
12 - 5 = 7
The sign of the answer is the same sign as the number that has the larger absolute value. The absolute of 5 is 5. The absolute value of -12 is 12. -12 has the larger absolute value, and -12 is negative, so the answer is negative.
5 + (-12) = -7
HELP ME pls. It’s hard im not gonna lie to you all
Answer:
greatest -( 9/36, -21/28, -7 )- smallest
Answer:
9/36
-7
-21/28
Step-by-step explanation:
You actually had them in the correct order
the area of a sector is 5.024cm2 and the angle is 36°. what's the radius
Answer:
mark me brainlest
Step-by-step explanation:
The area of sector is = pi* r^2*β\360 …. . . .(1
Where
Pi=3.14
r = radius
β= angle=36
So. Put value in equation 1
5.024=3.14 * r^2*36/360
5.024*360/(3.14*36)= r^2
16=r^2
r=4
Find the slope of (8,9) and (23,9)
Step-by-step explanation:
you mean the slope of the line between (8, 9) and (23, 9).
we can see that right away, as the y value does not change. it means it is a flat line, and that means the slope is 0.
now, formally :
the slope of a line is (y coordinate change / x coordinate change) when going from one point on the line to another.
the direction does not matter, but once we pick one for the comparison of one coordinate, we have to use the same direction also for the other.
I prefer to go from left to right.
so, from (8, 9) to (23, 9).
x changes by +15 (from 8 to 23).
y changes by 0 (from 9 to 9).
the slope is therefore 0/+15 = 0.
Please solve this. it is due TODAY. no explain needed.
Use properties to find the product. 25x8x4
True or False:
______1. The number of decimal numbers in the product is based on the number of decimal numbers of the factors.
______2. In multiplying with 0.001, move the decimal point to the right 3 times.
______3. Multiplying decimal is almost the same as multiplying whole numbers.
______4. In 3.41 x 1,000, the product is 3,410.
______5. The product of 16.23 and 17.4 is 282.402.
Answer:
Step-by-step explanation:
Simplify the expression. (2+1)×42÷2
Answer:
63
Step-by-step explanation:
Simplifying the expression,
→ (2+1) × 42 ÷ 2
→ 3 × 42 ÷ 2
→ 126 ÷ 2 = 63
Hence, the answer is 63.
Please help need to turn in by tomorrow I really need help I don’t even get how to do it could someone explained
Step-by-step explanation:
Technically what you have to do is find what changed in the table charts
find the difference between the output values
find the difference between the input values
then calculate the ratio between the change in the Y and X values
The relationship between the 8’s in 0.088
Answer:
It's in the Hundredths place uwu
Sam had 233 dollars to spend on 7 books. How much did each book cost ?
Answer:
0
3
3
7
2
3
3
-
0
2
3
-
2
1
2
3
-
2
1
2
Step-by-step explanation:
SOOOOOOOOOO THE ANSWER 33 with the reamder of 2
ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST also pls explain what the heck an explicit formula is..
Answer:y=10n+15
Step-by-step explanation:
Find the solutions of the quadratic equation –9x2 + 49 = 0.
Question 8 options:
A)
x = 9∕7, – 9∕7
B)
x = 3∕7, –7∕3
C)
x = 7∕3, –7∕3
D)
x = 7∕9, –7∕9
The solutions to the quadratic equation, -9x² + 49 = 0, are: C. x = 7∕3, –7∕3.
How to Find the Solutions to a Quadratic Equation?Given the quadratic equation, -9x² + 49 = 0, we can factorize to find the roots (the values of x) as shown below:
-9x² + 49 = 0
-(9x² - 49) = 0
Divide both sides by -1
-(9x² - 49)/-1 = 0/-1
9x² - 49 = 0
9x² - 49 + 49 = 0 + 49
9x² = 49
Divide both sides by 9
9x²/9 = 49/9
x² = 49/9
Take the square root of both sides
√x² = √(49/9)
x = ±7/3
Therefore, the solutions to the quadratic equation, -9x² + 49 = 0, are: C. x = 7∕3, –7∕3.
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Can the cube of an integer be a negative number? Explain.
Answer: yes only if the number is negative itself.
Step-by-step explanation: [tex]-3^{3}[/tex] = -27
explanation: -3 x -3 x -3 = 9 x -3 = -27
A plastic page designed to hold trading cards will hold up to 8 cards. How many pages will be needed to store 583 cards? Give an appropriate counting number answer to the question. (Find the least counting number that will work.)
The number of pages that would be needed to store 583 cards is (blank).
Answer:
73 pages
Step-by-step explanation:
You want the number of pages required to hold 583 cards when each page will hold 8.
Least integerThe number of pages required is ...
(583 cards)/(8 cards/page) = 72 7/8 pages
The least integer greater than this number is 73
The number of pages needed to store 583 cards is 73.
Can someone help ????:)
Answer:
Step-by-step explanation:
1. 65,700. 65,740 65,743 65,743.2 65,743.18
2. 0 20 20. 19.7 19.74
3. 8,500. 8,460. 8,456 8,456.2 8,456.19
4. 300. 320. 318 318.3 318.28
