Complete Question:
The rectangle below has an area of x^2-6x-7 square meters and a width of x-7 meters. What expression represents the length of the rectangle?
Answer:
The expression represents the length of the rectangle is (x + 1) meterSolution:
Given that,
[tex]\text{Area of rectangle} = x^2 - 6x - 7 \\\\Width = x - 7[/tex]
TO FIND: LENGTH = ?
We know that,
[tex]Area\ of\ rectangle = length \times width \\\\Therefore\\\\x^2 - 6x - 7 = length \times x - 7\\\\length = \frac{x^2 - 6x - 7 }{x - 7 }\\\\length = \frac{(x-7)(x + 1)}{x - 7}\\\\\text{cancel out x-7 from numerator and denominator} \\\\length = x + 1[/tex]
Thus expression represents the length of the rectangle is (x + 1) meter
Simplest form of 34/51
Answer:
[tex]\huge\boxed{\dfrac{34}{51}=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]\dfrac{34}{51}\\\\34=17\cdot2\\51=17\cdot3\\\\LCM(34,\ 51)=17\qquad/\text{Largest Common Multiple}/\\\\\dfrac{34}{51}=\dfrac{34:17}{51:17}=\dfrac{2}{3}[/tex]
Answer:
Step-by-step explanation:
2
—
3
Jameson Used 42% of the
money on a gift card to
purchase groceries. If he spent
$67.20 on groceries, how much
was on the gift card to begin
with?
$160 because if you do 42% of $160, it is $67.20
a solution of a system of linear equations
x - y = 5
- 3 x + y = - 1
Answer:
one solution : (-2 ; -7)
Step-by-step explanation:
hello :
x - y = 5 ....(*)
- 3 x + y = - 1 ....(**)
by (*) : y=x-5
by(**) : y = 3x-1
3x-1 = x -5
3x-x=-5+1
2x= -4
x= -2
but : y = x-5 so : y= -2-5=-7
one solution : (-2 ; -7)
Please Help me. Will name brainliest
Answer:
least = 315 grams
great = 324 grams
Step-by-step explanation:
31.5 grams nearest gram is 32 grams
so 31.5 x 10 packets is 315 grams
also, 32.4 grams nearest gram is 32 grams
so 32.4 x 10 packets is 324 grams
hope it helps :D
Answer:
The least and the greatest weights are 315 grams and 325 grams
Step-by-step explanation:
Good luck!
What is the relationship between genes and chromosomes?
Genes contain one or more chromosomes.
Chromosomes use DNA code to manufacture genes.
Genes use DNA code to manufacture proteins for chromosomes.
Chromosomes contain one or more genes.
Answer:
D. Chromosomes contain one or more genes (really, they contain thousands.)
Step-by-step explanation:
The definition of a chromosome is a segment of DNA that contains a certain gene, which then codes for a protein.
Why not A: Chromosomes contain genes.Why not B: Genes contain the code to manufacture proteins. Chromosomes don't manufacture genes.Why not C: Genes do use DNA to code for proteins, but not "for chromosomes." Chromosomes are basically the pieces of DNA that contain genes, which code for specific functions in the body and specific proteins.Answer:
D. chromosomes contain one or more genes.
Step-by-step explanation:
ik im like a year late and ur prolly done with the quiz by noowww but this is for other ppl who need it
Twelve friends share 4 pizzas equally. What fraction of a pizza does each friend get?
Answer:
1/3
Step-by-step explanation:
4/12=1/3
Solve each system of equations by substitution.
2x + 2y = 3 x - 4y = -1
Step-by-step explanation:
2x + 2y = 3 ( x2 for everything in the equation)
x - 4y = -1
4x+ 4y = 6
x - 4y = -1
Add the 1st line to the 2nd line to get rid of the y:
5x = 5
x - 4y = -1 ( you can pick any line from this system to be the second equation in this step, you can put 2x + 2y = 3 or 4x+ 4y = 6, anything above this step, but to make it simple chose the one you think is the easiest)
Solve for x, then plug the x value into the 2nd equation
x = 1
1 - 4y = -1
x = 1
-4y = -2 =) y = 1/2
x = 1
y= 1/2
HELP ME PLEASE
What equation can you use to find the value of x?
2x + 3x + 50 = 360
2x + 3x + 50 = 180
2x + 3x = 50
Answer:
I know I am late to answer but here is the right answer
X=26
Step-by-step explanation:
since 2x and 3x are on the same side of the equation you can combine the to get 5x+50=180. Then you subtract 50 from both sides of the equation witch you would get 5x on one side of the equation and 130 on the other. The you would divide 5x from both sides. 5x and 5 cancel out so you are left with 130 divide by 5x. You the divide which gives you the answer of X=26.
Is this right? Please help
Answer:
The answer is correct
Is line AB tangent to the circle ?
Answer:
Yes
Step-by-step explanation:
A tangent has one point touching the circle and is always perpendicular to the radius drawn in as well. Therefore line AB is tangent to the circle and creates a right triangle.
The area of this parallelogram is 120 mm. Find the value of x.
so the right answer is 12mm.
Look at the attached picture
Hope it will help u...
Answer:
x = 12
Step-by-step explanation:
Area is l * w
l is 10, w is x
120 = 10 * x
divide by 10
12 = x
x = 12
What is the value of the discriminant of the quadratic equation -2x^2=-8x+8, and what does its value mean about the
number of real number solutions the equation has?
Answer:
B: The discriminant is equal to zero which means it has one real number solution
Step-by-step explanation:
Answer:
b
on edge 100%
Step-by-step explanation:
which is the answer
help pleas
It costs $7.00 to purchase a
pair of goggles. then marks
the goggles up by 75%. How
much does Sam charge for a pair
of goggles ?
Answer:
12.25 U.S. dollars
Step-by-step explanation:
Answer:
$12.25
Step-by-step explanation:
We can solve this by first finding 75% of $7. To do this, we can do $7.00 x 0.75. The product of those is 5.25. Knowing that $5.25 is 75% of $7, we are able to add up $7 and $5.25, which gives us $12.25.
Hope this helped!
A scientist asked five of her dentist friends if they thought the new Brand X sugar dash free gum that she developed was effective. Four responded "yes." The scientist used the results to write a TV advertisement claiming that "4 out of 5 dentists prefer Brand X sugar dash free gum." Is this a valid inference? Explain.
Use pencil and paper. Explain all of the factors that are necessary for an inference to be valid.
Is the inference valid? Explain.
Answer:
80% agree because 4/5= 80/100
Step-by-step explanation:
help please and explain why
Answer:
9 cm tall
Step-by-step explanation:
The formula to find the volume of a cylinder is
V = pi r^2 (h)
pi r^2 is the base
Plug in the volume and the base
198 = 22 (h)
divide by 22
9 = h
How many solutions can be found for the system of linear equations represented on the
graph?
A) no solution C) two solutions
B) one solution D) infinitely many solutions
Answer:
A) no solution
Step-by-step explanation:
Parallel lines never intersect
13 points ill also mark brainliest if correct
In the diagram, DG ∥ EF.
On a coordinate plane, quadrilateral D E F G is shown. Point D is at (negative 2, 2), point G is at (1, 2), point F is at (3, negative 3), and point E is at (negative 4, negative 3).
What additional information would prove that DEFG is an isosceles trapezoid?
DE ≅ GF
DE ≅ DG
EF ≅ DG
EF ≅ GF
Answer:
Answer is A
Step-by-step explanation:
Reasons
The information that would prove that DEFG is an isosceles trapezoid is
DE ≅ GF.
What is an isosceles trapezoid?An isosceles trapezoid is a trapezoid in which the base and it's opposite side are parallel and the length of the non-parallel sides are same.
Here, the given trapezoid:
the coordinates of the points D and G are (- 2, 2) and (1, 2) respectively.
the coordinates of the points E and F are (- 2, 2) and (1, 2) respectively.
Therefore, it is clear that the base of the given trapezoid EF and it's opposite side DG are parallel.
Therefore, the given trapezoid would be isosceles, if DE and GF are equal.
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please help i will mark brainliest part b (:
Answer:
what is the question
Step-by-step explanation:
Answer:
OK UMMMM CAN YOU PUT THEE QUESTION
Step-by-step explanation:
ANSWER THESE ASAP Carla got a ride from her mom to school on 13 of 20 school days in November. Which is NOT equivalent to the fraction of days she got a ride to school?
Question 1 options:
13/20
35%
0.65
65%
Harold left a 23% tip when he went out to eat. What answer choice is equivalent?
Question 2 options:
2.3
23
0.23
0.023
Blair spent 45% of her birthday money on new clothes. What fraction of her money is that equivalent to?
Question 3 options:
9/20
22/50
4/11
4/5
Byron drank 1.36 liters of water yesterday. How many milliliters is that equivalent to?
Question 4 options:
13,600 ml
1,360 ml
136 ml
13.6 ml
The perimeter of the schoolhouse is 5,982 feet. How many yards is that equivalent to?
Question 5 options:
598.2 yds
2,991 yds
1,994 yds
498.5 yds
question 1: 35%
question 2: 0.23
question 3: 9/20
question 4: 1,360 mL
question 5: 1,994 yds
Answer:
1. 35%
2. 2.3
3. 9/20
4. 1360 ml
5. 1994 Yards
Dante has at most $12 to spend on entertainment each week. So far this week, he spent $7.50. Write and solve an inequality to determine how much money Dante can spend on entertainment the rest of the week.
Answer: 4.50
Step-by-step explanation:
Pay attention in math class
Answer:x+7.50 is less than or equal to 12
Step-by-step explanation: x is less than or equal to 4.5
The pythagorean theorem
Answer:
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation": a²+b²=c², where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides.
Step-by-step explanation:
Answer:
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Step-by-step explanation:
(happy to help)
Please Help! If (3x+5)^2=ax^2+bx+c, what is the value of a+b+c?
Answer:
64
Step-by-step explanation:
You open up the (3x+5)^2 and get:
9x^2 + 30x + 25
So...
a+b+c = 64
OR
You add the coefficient(s) and the constant together in the parentheses and get:
(3x+5)^2 --> (8)^2
So you square the 8 and get:
64
1+2(x+3)=7
how do you solve
Answer:
1
Step-by-step explanation:
you have to minus the 7 by 6 which you get from adding all the other numbers up together
A soccer team won 14 games and lost 5 games. Find the ratio of wins to total games played.
Add to find how many games the soccer team played.
14 + 5 = 19
Put this into a ratio of wins to games played.
14:19
Best of Luck!
Answer:
The ratio of wins to total games is 14:19
Step-by-step explanation:
The ratio of wins to total games played.
The number of wins is 14.
The total number of games is 14+5 = 19.
The ratio of wins to total games is 14:19
An electric powered fan has a 9 inch diameter blade that
rotates at 4000 revolutions per minute.
Find the angular speed of the sword in radians per minute.
_____/-\radians/minute
The speed of the fan is 1884 inches per second.
Step-by-step explanation:
Revolution per minute= 4000
Radius = 4.5 inches
Circumference= 2π r
= 2(3.14) (4.5)
= 28.26 inches
1 revolution= 28.26 inches
4000 revolution= (28.26) (4000)
=113040 inches per minute
= 113040/60
= 1884 inches per second
The speed of the fan is 1884 inches per second.
Final answer:
To find the angular speed of a fan blade given its revolution per minute, multiply the revolutions per minute by 2π to get the angular speed in radians per minute.
Explanation:
An electric powered fan has a 9-inch diameter blade rotating at 4000 revolutions per minute. To find the angular speed in radians per minute, we can use the formula: Angular speed (in rad/min) = (revolutions per minute) x 2π. Therefore, angular speed = 4000 x 2 x π = 8000π rad/min. So, the angular speed of the fan blade is 8000π radians per minute.
PLEASE HURRY!! The ratio of the volumes of two geometrically similar pyramids is 1 : 8. If the height of the larger pyramid is 24 inches, what is the height of the smaller pyramid?
a = 3 inches
b = 6 inches
c = 12 inches
d = 17 inches
Answer:
Answer C.12
Step-by-step explanation:
v/V=(h/H)^3
1/8=(h/24)^3
1/8=h^3/24^3
1/8=h^3/13824
8h^3=13824
H=1728√3
h= \sqrt[3]{1728}
h=12 cm
the height of the smaller pyramid is 12 inches.
What is a triangular pyramid?
A triangular pyramid is a 3D geometric shape in which all the three lateral faces are triangles with a common vertex. If all the three triangular faces are equilateral, then such a pyramid is called a tetrahedron.
For the given situation,
The ratio of the volumes of two geometrically similar pyramids = 1:8
The height of the larger pyramid = 24 inches.
Let the volume of smaller pyramid be v1 and larger pyramid be v2.
Let the height of smaller pyramid be h1 and larger pyramid be h2.
The relation between the volume of pyramid and height is given as
[tex]v=\frac{1}{3} (base area)(height)[/tex]
Let us consider the triangle to be equilateral triangle. So all the sides are equal.
We know that, Base area = [tex]a^{2}[/tex] and [tex]a=h[/tex]
The volume becomes [tex]v=\frac{1}{3} h^{3}[/tex]
The ratio becomes,
⇒ [tex]\frac{v1}{v2} =\frac{h1^{3} }{h2^{3}}[/tex]
⇒ [tex]\frac{1}{8} =\frac{h1^{3} }{24^{3}}[/tex]
⇒ [tex]h1^{3}=\frac{24^{3} }{8}[/tex]
⇒ [tex]h1^{3}=\frac{13824 }{8}[/tex]
⇒ [tex]h1^{3}=1728[/tex]
⇒ [tex]h1=\sqrt[3]{1728}[/tex]
⇒ [tex]h1=12[/tex]
Hence we can conclude that the height of the smaller pyramid is 12 inches.
Learn more about triangular pyramid here
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Write an algebraic expression for the number of hours in m minutes
Answer:
m/60.
Step-by-step explanation:
There are 60 minutes in an hour so the expression is m/60 hours..
The algebraic expression for the number of hours in m minutes is m/60. This is because there are 60 minutes in an hour, so dividing the number of minutes by 60 gives the equivalent number of hours.
Explanation:The task is to write an algebraic expression that represents the number of hours in m minutes. Since 1 hour is equal to 60 minutes, we can set up a conversion factor that allows us to go from minutes to hours. To find the number of hours in m minutes, we divide the number of minutes by 60 (the number of minutes in an hour). So, the algebraic expression for the number of hours in m minutes would be m/60.
To further simplify the context, think of a situation where you might need to convert 120 minutes to hours. Using the algebraic expression described, you would divide 120 by 60, which would result in 2. Therefore, 120 minutes is equal to 2 hours.
Learn more about Algebraic Expressions here:https://brainly.com/question/953809
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explain how you find it
Answer:
x = 39
Step-by-step explanation:
there is a theorem that states that the midsegment in a trapezoid is equal to the sum of the bases divided by two
so, (36 + 42)/2 = x
36 + 42 = 78
78/2 = 39
The equation for 17 + 51 = 68 verify goldbach's conjecture for the number 68
Answer:
the equation is addition so its 68
Step-by-step explanation: