If the sum of three consecutive numbers is 1998, what is the first one?
Answer: 665
Step-by-step explanation: X + X + 1 + X + 2 = 1998
3X + 3 = 1998
3X + 3 - 3 = 1998 - 3
3X = 1995
3X/3 = 1995/3
X = 665
ASAP!! PLEASE I NEED HELP!!
A farmer needs to fence a rectangular plot of land with the area of 3000 square yards. He considers several possible length of the plot: 50 yards, 40 yards, 48 yards, and 36 yards. What will be the width of the plot in each case? Do the length and the width of the rectangular plot vary directly or inversely when the same area is needed? Explain why.
Answer:
If the length is 50 yd, the width is
yd.
If the length is 40 yd, the width is
yd.
If the length is 48 yd, the width is
yd.
If the length is 36 yd, the width is
yd.
The length and the width vary .
Answer:
If the length is 50 yd, the width is 60 yd.
If the length is 40 yd, the width is 75 yd.
If the length is 48 yd, the width is 62.5 yd.
If the length is 36 yd, the width is 83.33 yd.
The length and the width vary inversely because when the length decreased the width increased
Step-by-step explanation:
The area of any rectangle A = L × W, where
L is its lengthW is its widthThe relation is direct proportion if the quotient of two quantity equals constant (y/x = k, when y and x increased) and inverse if the product of the two quantity equals constant (yx = k, when x increased y decreased and vice versa)
∵ The area of the rectangular plot of land = 3000 yards²
∴ A = 3000
∵ Its length = 50 yards
∴ L = 50
→ Substitute them in the rule above to find W
∵ 3000 = 50 × W
→ Divide both sides by 50 to find W
∴ 60 = W
∴ The width of the plot is 60 yards
∵ Its length = 40 yards
∴ L = 40
→ Substitute them in the rule above to find W
∵ 3000 = 40 × W
→ Divide both sides by 40 to find W
∴ 75 = W
∴ The width of the plot is 75 yards
∵ Its length = 48 yards
∴ L = 48
→ Substitute them in the rule above to find W
∵ 3000 = 48 × W
→ Divide both sides by 48 to find W
∴ 62.5 = W
∴ The width of the plot is 62.5 yards
∵ Its length = 36 yards
∴ L = 36
→ Substitute them in the rule above to find W
∵ 3000 = 36 × W
→ Divide both sides by 36 to find W
∴ 83. 33 = W
∴ The width of the plot is 83.33 yards
∵ The area is a constant value
∵ A = LW
→ The product of L and W equals the constant value, can you discover
that from the values of L and W
∴ The length and the width of the rectangular plot vary inversely
The length and the width of the rectangular plot vary inversely when the same area is needed.
Area of Rectangle:Area of rectangular plot [tex]=length *width[/tex]
Given that, Area of plot is 3000 square yards.
If the length is 50 yards. Then,[tex]width=\frac{3000}{50} =60yd[/tex]
If the length is 40 yards. Then,[tex]width=\frac{3000}{40}=75yd[/tex]
If the length is 48 yards. Then,[tex]width=\frac{3000}{48}=62.5yd[/tex]
If the length is 36 yards. Then,[tex]width=\frac{3000}{36}=83.34yd[/tex]
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One page of Abdul's stamp book has 5 stamps on each line. There are 8 lines. How many Stamos are on the page? *
Answer:
40 stamps
Step-by-step explanation:
To find how many stamps are on the page, multiply 5 by 8, since there are 5 stamps on each line and there are 8 lines:
5(8)
= 40
So, there are 40 stamps on the page.
PLEASE help thank you
Which equation represents the model below
A) 2x - 2 = -6
B) 4x = 6
C) 2x + 2 = -6
D) 4x = -6
Evaluate:
-77 + (-46)
-77 + (-46 )
- 77 - 46 (+ × - = - )
-123
Answer:
-123
Step-by-step explanation:
This is the answer because:
1) First, multiply the negative sign with the positive sign.
Negative x Positive = Negative
Equation: -77 - 46
2) Now, multiply the negative sign with the negative sign.
Negative x Negative = Positive
Equation: 77 + 46 = 123
3) Finally, add the greater number's sign (-77) in front of the number.
-123
Hope this helps! :D
Divide. Reduce the awnser to lowest terms 5 2/3 divided by 3 1/9
Answer:
1 23/28
Step-by-step explanation:
turn both of your numbers into fractions: 17/3 and 28/9
to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:
17/3 x 9/28
you can simplify this by simplifying 9 to 3 and 3 to 1.
this means you now have 17 x 3/28
multiply 17 and 3 together since they are the numerators, you should get 51/28
now turn this into a mixed fraction: 1 23/28
Somebody who know how to speak Spanish help.
Answer:
Step-by-step explanation:
lemme see the word bank
Geometry: Write and solve an equation to find the value of x so that the figures have the same area.
Answer:
e
Step-by-step explanation:
e
the product of m and the sum of m and 82. Tranlate into a variable expression
Step-by-step explanation:
This expression will be;
m(m + 82).
Help please............................
Step-by-step explanation:
csc x / (cot x + tan x)
Write in terms of sine and cosine.
(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]
Multiply top and bottom by sin x.
1 / [cos x + (sin²x / cos x)]
Multiply top and bottom by cos x.
cos x / (cos²x + sin²x)
Use Pythagorean identity.
cos x / 1
cos x
Find the exact value using a half angle identity. Cos(-pi/8)
9514 1404 393
Answer:
cos(-π/8) = (√(2+√2))/2
Step-by-step explanation:
The half-angle formula is ...
[tex]\cos{\dfrac{\theta}{2}}=\pm\sqrt{\dfrac{1+\cos{\theta}}{2}}[/tex]
Since cosine is an even function, cos(-π/8) = cos(π/8).
For θ/2 = π/8, θ = π/4 and cos(θ) = (√2)/2. Filling in the formula, we have ...
[tex]\cos{(-\dfrac{\pi}{8})}=\cos{\dfrac{\pi}{8}}=\sqrt{\dfrac{1+\cos{\dfrac{\pi}{4}}}{2}}=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2}}{2}}\\\\=\sqrt{\dfrac{2+\sqrt{2}}{4}}=\boxed{\dfrac{\sqrt{2+\sqrt{2}}}{2}}[/tex]
what is 8455 divided by 89?
Answer:
95
Step-by-step explanation:
Answer:
95
Step-by-step explanation:
8455 divided by 89
Solve for x. Enter the solution from least to greatest (x-4)(-5x+1)=0
Answer:
hee ya go (x-4)(-5x+1)=0. (x−4)(−5x+1)=0 ( x - 4 ) ( - 5 x + 1 ) = 0.
Step-by-step explanation:
If any individual factor on the left side of the equation is equal to
0.
Answer:
x=4
Step-by-step explanation:
If you do 4-4 in the first one you get 0. Then the problem would look like this.
(0)(-5x+1)=0
It wouldn't matter what the next one looks like because you would multiply it by 0 which would give you 0.
(0)(-19)
0 x (-19) = 0
Solve for w.
5W + 9 = 22 + 3w
Ow=
=-=2
글
Ow=
= -22
W = -2
W=-72
Answer:
Your answer is : A) w = -7/2z
Step-by-step explanation:
Hope this helped : )
Option A is correct, the value of w is -7/2z in the equation 5w+9z=2z+3w.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 5w+9z=2z+3w
In the given equation w and z are the variables.
As per the question we need to solve for w which means we have to find the value of w
Take the like terms on one side by adding -3w-9z on both sides
5w+9z-3w-9z=2z+3w-3w-9z
2w=-7z
Now Divide both sides by two
w=-7/2z
Hence, Option A is correct, the value of w is -7/2z in the equation 5w+9z=2z+3w.
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line 1 passes through points (4, -4) and (8,-3) while line 2 passes through points (1,-6) and (-1,2). determine whether the lines are parallel, perpendicular, or neither
Answer:
neither
Step-by-step explanation:
the slopes were [tex]\frac{1}{4}[/tex] and [tex]\frac{4}{1}[/tex]
the slopes have to be the same to be parallel and they have to be -1 to be perpendicular and if they arent that that means they are neither
Hope this helps
A machine printed 63 booklets every 6 hours. At this rate, which proportion could be used to determine x, the number of booklets that the machine can print in 9 hours?
The length of a new rectangular playing field is 2 yards longer then double the width. If the perimeter of the rectangular playing field is 322 yards, what are its dimensions?
Answer:
Step-by-step explanation:
First, we want to take the information we have and turn it into an equation, where x is our unknown dimension. For this problem, it would be better if x was equal to the width.
Let's write out the equation:
X is the width, 2x + 2 is the length, and we are multiplying both by two since there are two sides of the field. It will all equal to 322, because that is the perimeter.
2*x + 2(2x +2) = 322
Now, let's solve:
2*x + 2(2x + 2) = 322
2x + 4x + 4 = 322
6x + 4 = 322
6x = 318
x = 318 ÷ 6
x = 53
The width is 53 yards. To find the length, we multiply 53 by two and add two.
53 * 2 + 2 = 106 + 2 = 108 yards, as the length
Two requirements to be employed within a certain company are that you must be at least 18 years of age and have had more than one job-related work experience. Write and graph two inequalities that represent the requirements.
Answer:
Step-by-step explanation:
x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Given,
A certain company are that you must be at least 18 years of age
Let x be the age of employees.
x must be at least 18 years of age.
x≥18
We use ≥ symbol when atleast is used, which means it can be 18 or more than that.
Now employees more than one job-related work experience
Let x be the work experience.
x>1
Here we use > because its given that it should be greater than 1.
Hence, x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.
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what is the rule that describes this pattern of numbers -10,000; -1,000; -100; -10; -1; -0.1; -0.01; -0.001
Each number is one-tenth the number to its left.
Each number is 10 more than the number to its left.
Each number is 10 times the number to its left.
Each number is one-tenth the number to its right.
Answer:
Each number is one-tenth the number to its left.
Step-by-step explanation: -1,000 is one tenth of -10,000 for example
Which of the following is a proposed solution that is not a solution of the original equation?
an extraneous solution
conditional solution
an exponential solution
a radical solution
9514 1404 393
Answer:
an extraneous solution
Step-by-step explanation:
A solution that shows up as a result of the process of solving an equation, but that does not work in the original equation, is called "an extraneous solution".
_____
Additional comment
Radical and rational expression equations can have extraneous solutions. For radical equations, they are typically ones that require a negative square root (or negative root of even index). For rational expression equations, they typically involve "excluded" values, values that make a denominator be zero.
help help thanks and PLEASE
Answer:
ion know if imma be right or wrong but im guessing that #1 is C & #4 is either 6 or 7
Step-by-step explanation:
Bc both of the top part of the trapezoids look equal to each other but i could be wrong hopefully this helps
You play a game with a friend they pul a marble out of the bag with 3 red marbles and 7 green marbles. If the marble is red you win$2 if the marble is green you lose $1 What is the expected value of the game for you
Answer:
Step-by-step explanation:
Amount of red marbles = 3red
Amount of green marbles = 7 green
If the marble is red and you win $2, the total amount of money won = 3 * $2 = $6
If the marble is green and you loose $1, the total amount of money lost = 7 * $1 = $7
The expected value of the game for you = amount won - amount lost
= $6 - $7
= -$1
This means the expected value is a loss of $1
how many inconsiderate people take up space in this world?
Answer:
Too many :(
Step-by-step explanation:
Its life u know
can i pls have brainliest
Answer:
that number is probably too high to count, don't ya think
A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken a statistical methods course that involved significant computer interaction. Group 2 had taken a statistic methods course that did not use computers. The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 12 nursing students from Group 1 resulted in a mean score of 59.7 with a standard deviation of 2.8. A random sample of 15 nursing students from Group 2 resulted in a mean score of 64.7 with a standard deviation of 8.3. Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2? Let µ1 represent the mean score for Group 1 and µ2 represent the mean score for Group 2. Use a significance level of α = 0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed.Step 1: State the null and alternative hypotheses for the test.Step 2: Compute the value of the t test statistic. Round your answer to three decimal placesStep 3: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places. Reject or fail to reject your hypothesis?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Group 1:
μ1 = 59.7
s1 = 2.8
n1 = sample size = 12
Group 2:
μ2 = 64.7
s2 = 8.3
n2 = sample size = 15
α = 0.1
Assume normal distribution and equ sample variance
A.)
Null and alternative hypothesis
Null : μ1 = μ2
Alternative : μ1 < μ2
B.)
USing the t test
Test statistic :
t = (m1 - m2) / S(√1/n1 + 1/n2)
S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))
S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))
S = 6.4829005
t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)
t = - 5 / 2.5108165
tstat = −1.991384
Decision rule :
If tstat < - tα, (n1+n2-2) ; reject the Null
tstat < t0.1,25
From t table :
-t0.1, 25 = - 1.3163
tstat = - 1.9913
-1.9913 < - 1.3163 ; Hence reject the Null
Kira wants to cover hr rectangular patio in cement. The patio measures 4yd long and 3yd wide.
Answer:
The answer is 12 yds.
Step-by-step explanation:
The formula for calculating area is L x W = Area, so we multiply 4 by 3, which gives us 12.
Hope this helped!
PLS HELP ILL GIVE BRAINLEIST ALSO ILL GIVE MANY POINTS
Answer:
Digit
Step-by-step explanation:
Answer:
Expanded Notation Form:
30,000
+ 9,000
+ 0
+ 0
+ 5
Expanded Factors Form:
3 × 10,000
+ 9 × 1,000
+ 0 × 100
+ 0 × 10
+ 5 × 1
Expanded Exponential Form:
3 × 104
+ 9 × 103
+ 0 × 102
+ 0 × 101
+ 5 × 100
Word Form:
Thirty-nine thousand five.
Step-by-step explanation:
from (google)
Which table represents a function?
Answer:
B
Step-by-step explanation:
Can you help me find abcd please
Answer:
A.2 B.4 C.3 D.4 E.6
Step-by-step explanation:
1/2 ÷ 3/4 = 1/2 x 4/3 (flip 3/4 and keep 1/2)
If you multiply 1/2 x 4/3 you will get 4/6.
The greatest comen factor of 21, 30,49