Answer: length=28, width=20
Step-by-step explanation:
Let x=width, then length=x+8
x(x+8)=560
x²+8x=560
x²+8x-560=0
(x-20)(x+28)=0
x=20 or x=-28 (rej) since a width can't be negative
20+8=28
Hope this helps!! :)
Please let me know if you have any question
Jim is paid for overtime when he works more than 40 hours per week.Enter an expression for the number of hours he works overtime when he works h hours.
Answer:
Overtime hours = [h - 40] hours
Step-by-step explanation:
Given:
Weekly hour work = 40 hours per week
Total hour work = h hours
Find:
Overtime hours
Computation:
Overtime hours = Total hour work - Weekly hour work
Overtime hours = [h - 40] hours
Prove theorems about triangles
a) impossible
b) the sum of the angles in a triangle is 180°
63° + 59° + 57° = 179°
Which of the following is an example of the Associative Property of Addition? A. c • (3 • f) = (c • 3) • f B. c • 3 = 3 • c C. c + 3 = c + 3 D. c + (3 + f) = (c + 3) + f
Answer:
D
Step-by-step explanation:
Associative property states that the sum of three or more numbers stays the same no matter how the numbers are grouped.
A is not correct because it is multiplication not addition and it asked for addition
The length of a rectangle is represented by (6x - 2), and the width is represented by (x - 1). Which expression best
represents the perimeter of the rectangle?
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{14x - 6}}}}}[/tex]
Step-by-step explanation:
Given,
Length of a rectangle ( l ) = 6x - 2
Width of a rectangle ( w ) = x - 1
Perimeter of a rectangle ( P ) = ?
Finding the expressions that represents the perimeter of the rectangle
[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}[/tex]
⇒[tex] \sf{2(6x - 2 + x - 1)}[/tex]
Collect like terms
⇒[tex] \sf{2(7x - 2 - 1)}[/tex]
Calculate
⇒[tex] \sf{2(7x - 3)}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{14x - 6}[/tex]
Hope I helped!
Best regards!!
Smith and Simon are playing a card game. Smith will 5
win if the drawn card form the deck of 52 is either 7
or a diamond, and Simon will win if the drawn card is
an even number. Who has the higher chance of
winning? Explain why, using details. *
Answer: Simon has a higher chance of winning
Step-by-step explanation: The possibility of Smith winning is 16/52 and the possibility of Simon pulling an even card is 20/52.
(20/52 is more than 16/52)
Answer:
Simon has a higher chance of winning
Step-by-step explanation:
a bottle filled with weighs 42 pounds If the water by itself weighs 11 times as much as the bottle, what is the weight of the bottle
Answer:
462 pounds
Step-by-step explanation:
weighs 42 pounds
and the water 11 times more
so, 42*11 = 462 pounds
Make t the subject of the formula 2(d – t) = 4t + 7
Step-by-step explanation:
2(d-t)=4t +7
open the bracket
2d - 2t =4t +7
collect like terms
2d-7=4t +2t
2d-7=6t
divide both sides by 6
2d-t/6=6t/6
T=2d-t/6
Answer:
t = (2d-7)/6
Step-by-step explanation:
2(d – t) = 4t + 7
Distribute
2d-2t=4t+7
Add 2t to each side
2d-2t+2t=4t+2t+7
2d = 6t+7
Subtract 7 from each side
2d-7 = 6t
Divide by 6
(2d-7)/6 = t
Look at the Screenshot for the question.
Answer:
2
Step-by-step explanation:
Write –3/8 as a decimal number.
Answer:
-0.375
Step-by-step explanation:
you just divide the numbers.
23) The Dinner Plate
7.G.B.4
A dinner plate has a
diameter of approximately
13 inches. What is the
circumference of the
dinner plate? What is the
area of the dinner plate?
Use 3.14 for pi. Draw a
picture of a dinner plate
and label the dimensions
(radius and diameter).
Write the circumference
and area on your drawing.
Answer:
circumference is 40.84 and the area is 132.73
Step-by-step explanation:
For the constant function v(x) = 1, which statement describes the additive and multiplicative inverses? Both inverses are equal to v(x). Neither inverse is equal to v(x). The additive inverse is equal to v(x), but the multiplicative inverse is not. The multiplicative inverse is equal to v(x), but the additive inverse is not.
Answer:
The multiplicative inverse is equal to v(x), but the additive inverse is not.
Step-by-step explanation:
The multiplicative inverse is equals to v(x) but the additive inverse is not.
What is additive inverse?Additive inverse is a number which on getting added to the original number results in zero.
For example, 5 - 5 = 0
⇒ -5 is the additive inverse of 5.
What is multiplicative inverse?Multiplicative inverse of a number is a value which when multiplied by the original number results in 1.
For example
[tex]5 (\frac{1}{5} )= 1[/tex]
⇒ [tex]\frac{1}{5}[/tex] is the multiplicative inverse of 5.
According to the given question.
We have a function
v(x) = 1
Let the additive inverse of 1 is x.
⇒ 1 + x = 0
⇒ x = -1.
Hence, the additive inverse of 1 is -1.
Let the multiplicative inverse of 1 is y.
⇒ 1 × y = 1
⇒ y = 1/1
⇒ y = 1
Hence, the multiplicative inverse of 1 is 1.
From the above calculation we can see that, the multiplicative inverse is equals to v(x) but the additive inverse is not.
Thus last option is correct.
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2^(x-4) = 4a^(x-6) what is the value of x?
Answer:
First you have to make the values equal....
which is 2^(x-4)=2a^2(x-6).
then since 2 are equal and its x we are looking for.
x-4=2x-12.
x-2x=-12+4.
-x=-8.
x=8.
A rational number is any number that can be expressed as a
a)negative number
b)fraction
c)square root
d)integer
Answer:
Hey there!
A rational number is any number that can be expressed as a fraction.
Hope this helps :)
Answer:
D.
Step-by-step explanation:
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). A rational number comes to an end at some point, even if the end is long, it will eventually stop.
translating verbal expression: the quotient of twice a number t and 13
Answer:
My answer to the question is 2t÷13.
Answer:
[tex]\Huge \boxed{\frac{2t}{13} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The number t is doubled.
[tex]\Rightarrow t *2[/tex]
[tex]\Rightarrow 2t[/tex]
Quotient is the result after dividing two or more values.
[tex]\Rightarrow \displaystyle \frac{2t}{13}[/tex]
[tex]\rule[225]{225}{2}[/tex]
what does (316)(18) mean?
Answer:
It means multiply the 2 numbers.
Step-by-step explanation:
(316)(18) means 316 * 18
= 5688.
The outcome of the given expression is 5724
The given expression:
(316)(18)
To find:
the outcome of the expression:
The outcome of the given expression is obtained by multiplying them out.
[tex](318)(18) = 318 \times 18 = 10(318) + 8(318) = 3180 + 2544 = 5724[/tex]
Thus, the outcome of the given expression is 5724
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–6x + 15 < 10 – 5x clnwovneineuvnepveo
x > 5
x ∈ [ 5 ; + oo )
Step-by-step explanation:–6x + 15 < 10 – 5x
15 - 10 < 6x - 5x
5 < x
x > 5
x ∈ [ 5 ; + oo )
Answer: x>5
Step-by-step explanation:
Given
-6x+15<10-5x
Add 6x on both sides (Addition property of equality)
-6x+15+6x<10-5x+6x
15<10+x
Subtract 10 on both sides (Subtraction property of equality)
15-10<10+x-10
5<x
x>5
Hope this helps!! :)
Please let me know if you have any question
A____ is a fixed position in space and has no dimensions or size. hins
Answer:
Point
Step-by-step explanation:
This is the definition of a point.
A "point" is a fixed position in space and has no dimensions or size.
Cheers.
Answer:
A point is a fixed position in space and has no dimensions or size.
What is the slope?? Hdhdhfucufuchchdbdbdvrvrvdbshshd
Answer:
-2/3
Step-by-step explanation:
To find the slope, pick two points on the line, and use the slope formula
( 0,50) and (30,30)
m = ( y2-y1)/(x2-x1)
= (30-50)/(30-0)
= -20/30
= -2/3
Answer:
m = -2/3
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find 2 coordinates
(0, 50)
(60, 10)
Step 2: Plug into formula
m = (10 - 50)/(60 - 0)
m = -40/60
m = -4/6
m = -2/3
What is it can someone help me on question 11 plz
Answer:
D
Step-by-step explanation:
HOLY GOD
TSUKIIIIIIII.
I LOVE U TSUKIII
Write 7.35 as a mixed number.
Answer:
7 7/20 is the answer.
Answer: 7 7/20
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
7.35=7.35 / 1
Multiply to remove 2 decimal places. Here, you multiply top and bottom by 100
7.35/ 1 × 100/ 100=735 / 100
Find the Greatest Common Factor (GCF) of 735 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5
735 ÷ 5 = 147
100 ÷ 5 = 20
Divide 147/ 20 = 7 7/20
Please helppp I suckk at fractions!!!
Answer: a=2 b= 11/6 or 1 5/6
Step-by-step explanation:
Simplify the algebraic expression -2(x - 3) + 4(-2 x + 8)
*Plz explain your answer*
-10x+38
Let's simplify step-by-step.
- 2(x – 3) +40-2r + 8)
Distribute:
= (-2)(x) + (-2)(-3) + (4)(-2x) + (4)(8)
= -2x + 6+ - 8x + 32
Combine Like Terms:
= -2x + 6 + - 8x + 32
= (-2x + - 8x) + (6 + 32)
-10x + 38
The simplified form of the algebraic expression -2(x-3)+4(-2x+8) is -10x+38.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given algebraic expression -2(x-3)+4(-2x+8), when simplified it can be written as,
[tex]-2(x -3) + 4(-2 x + 8)\\\\=-2x +6-8x+32\\\\=-10x+38[/tex]
Hence, the simplified form of the algebraic expression -2(x-3)+4(-2x+8) is -10x+38.
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Points A and B have the coordinates shown below.
Estimate the length of AB to the nearest tenth of a unit.
A= (-4,7)
B= (-12, -10)
AB = units
Answer:
Distance AB is 18.79 units
Step-by-step explanation:
Given two points with coordinates as:
A= (-4,7)
B= (-12, -10)
To find:
Distance AB = ?
Solution:
To find the distance between two points with given coordinates, we can use Distance formula.
Distance formula is given as:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the two coordinates whose distance is to be find out.
[tex]x_1 = -4\\y_1 = 7\\x_2 = -12\\y_2 = -10[/tex]
[tex]AB = \sqrt{(-12-(-4))^2+(-10-7)^2}\\\Rightarrow AB = \sqrt{(-8)^2+(-17)^2}\\\Rightarrow AB = \sqrt{64+289}\\\Rightarrow AB = \sqrt{353}\\\Rightarrow \bold{AB = 18.79\ units }[/tex]
Distance AB is 18.79 units
Answer:
AB = 18.8 units
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on the coordinate plane.
distance between those two points = [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
given points are
A= (-4,7)
B= (-12, -10)
[tex]AB = \sqrt{(-4 -(-12))^{2} + (7-(-10))^{2} }\\AB = \sqrt{(-4 +12)^{2} + (7+10)^{2} }\\AB = \sqrt{(8)^{2} + (17)^{2} }\\AB = \sqrt{64 + 289 }\\AB = \sqrt{353 }\\AB = 18.79[/tex]
Thus, length of AB is 18.79 units
since, value of hudredth of unit is 9 which is greater than 9 then rounding the value to nearest tenth of unit we increase the value at tenth of unit place by that is 7 becomes 8
length of AB to the nearest tenth of a unit is 18.9 units
find all values of c such that the domain of the following function is the set of all real numbers
f(x) = (x + 7) / (x^2 + 2cx + 14)
Answer:
[tex]-\sqrt{14} < c < \sqrt{14}[/tex]
Step-by-step explanation:
For the function to have a domain of all reals, the denominator cannot have a value of zero. x^2 + 2cx + 14 will not have zero as a root if it has no real solutions. A quadratic equation has no solutions when the discriminant is negative.
b^2 - 4ac < 0
(2c)^2 - 4(1)(14) < 0
4c^2 - 56 < 0
4c^2 < 56
c^2 < 14
[tex]-\sqrt{14} < c < \sqrt{14}[/tex]
The domain of the function, f(x) = (x + 7) / (x^2 + 2cx + 14) is the set of all real numbers for the value of c as [tex]-\sqrt{14} < c < \sqrt{14}[/tex] .
Domain of a function are the values that a function can take that is the set of all possible inputs.
Given the following function:
[tex]f(x)=\dfrac{x+7}{x^2+2cx+14}[/tex]
For the real number domain of the given function, the denominator must be a non-zero term. Because, if the denominator is zero then the function will result in an undefined number which does not lie in the real number domain.
For denominator to be non zero, we have to find the value of x which is not the solution of the equation of denominator.
x²+2cx+14≠0
Such value of x can be determined using discriminant.
d<0, then no real solution exists.
d=b²-4ac
Here a=1, b=2c, c=14
d=4c²-4x14
d=4c²-56
d<0
4c²-56<0
4c²<56
c²<14
[tex]-\sqrt{14} < c < \sqrt{14}[/tex]
Thus, [tex]-\sqrt{14} < c < \sqrt{14}[/tex] is such that the domain of the function is the set of all real numbers.
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If a person is riding on a bicycle at a speed of 10 meters / second for 25 seconds (t), how far did she go? ; s=d/t ?
Group of answer choices
200
225
250
Answer:
250
Step-by-step explanation:
I looked up s=d/t calculator and it is the calculator soup link
what is the domain of h?
What is the sum of 4.3+4.16
Answer:
8.46
Step-by-step explanation:
Answer:
8.46
Step-by-step explanation:
6+0 =6
3+1=4
4+4=8
No carryovers
¿De que manera las propiedades de las operaciones de los números racionales las podemos emplear en la estimación de presupuesto?
Answer:
La pregunta no está completa. Explicaré las propiedades de funcionamiento de los números racionales.
Explanation:
Las principales propiedades de los números racionales son:
- Propiedad de cierre
- Propiedad de conmutatividad
- Propiedad asociativa
- Propiedad distributiva
La propiedad de cierre establece que para dos números racionales cualesquiera xey, x + y, x-y, x * y, y x / y también será un número racional.
La propiedad de conmutatividad establece que para dos números racionales cualesquiera xey, x + y = x + y; x - y ≠ y - x; x * y = y * x; x / y ≠ y / x.
La propiedad asociativa establece que para cualesquiera tres números racionales dados x, y y z, (x + y) + zyx + (y + z) son iguales.
La propiedad distributiva establece que para tres números cualesquiera x, y y z, x × (y + z) = (x × y) + (x × z).
Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned in one year was $1640?
Answer:
The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000
Step-by-step explanation:
The given parameters are;
The total amount Hank invested = $20,000
The interest earned in one year = $1640
Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%
Let the part invested at 7% = X and the part invested at 10% = Y, we have;
7% of X + 10% of Y = $1640 which gives;
0.07×X + 0.1×Y = $1640.....................(1)
X + Y = $20,000.................................(2)
Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;
X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640
X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600
0.3·X = $3,600
X = $3,600/0.3 = $12,000
X = $12,000
Y = $20,000 - X = $20,000 - $12,000 = $8,000
Y = $8,000
Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.
Answer:
$8,000 at 10%
$12,000 at 7%
Step-by-step explanation:
Let the part invested at 10% = x
Let the part invested at 7% = $20,000 - x
7% = 0.07
10% = 0.10
Hank invested a total of $20,000, part at 7%
0.07(20000 - x)
And part at 10%
0.10(x)
Hence, we have:
0.10x + 0.07(20000 - x) = 1640
0.10x + 1400 - 0.07x = 1640
0.10x - 0.07x = 1640 - 1400
0.03x = 240
x = 240/0.03
x = 8000
Hence, the amount he invested at 10% = $8,000
The amount he invested at 7% =
$20,000 - x
= $20,000 - $8,000
= $12,000
r=35.7+1.37t The equation above relates the urbanization rate r, as a percent, in a particular country to the number of years t since 2000. Which of the following statements best describes the relationship between the years since 2000 and the urbanization rate? A It is linear because the urbanization rate increases by 35.7 each year. B It is linear because the urbanization rate increases by 1.37 each year. C It is exponential because the urbanization rate increases by 37% each year. D It is exponential because the urbanization rate increases by a factor of 35.7 each year.
Answer: 37.07
because 35.7+1.37 is 37.07