Answer:
1 solution. Solution is -3.
Step-by-step explanation:
First subtract 8 from both sides. This gives you 5x=2x-9.
Then subtract 2x from both sides. This gives you 3x= -9
Next divide both sides by 3. This would give you that x = -3.
Mark me brainliest. Hope this helps
Final answer:
The equation 5x + 8 = 2x - 1 is solved by isolating x to find that it has one solution, x = -3.
Explanation:
The equation 5x + 8 = 2x - 1 can be solved for x to determine how many solutions it has. To do this, we first rearrange the equation to bring all terms involving x on one side and the constants on the other. Subtract 2x from both sides to obtain 3x + 8 = -1. Next, subtract 8 from both sides to get 3x = -9. Finally, divide both sides by 3 to isolate x, which yields x = -3. Therefore, the equation has one solution: x = -3.
2.
Write the ratio of passing scores to all 500 testing scores if there were 25 failing
scores.
Answer:
Simply subtract the fail rate from 100; the resulting number is the pass rate. So, if you know that 6 percent of students failed, you would subtract: 100 - 6 = 94 percent is the pass rate for the test.
Step-by-step explanation:
Answer:
19:20
Step-by-step explanation:
500 test scores
25 failing
500 -25 = 475 = passing scores
passing:all scores
475: 500
Divide each side by 25
475/25:500/25
19:20
What is 800+ 22 rounded to the nearest hundred?
788
800
822
900
Answer:
800
Step-by-step explanation:
because if you round 822 to the nearest hundred you would 800 since its the closest one
Answer:
822 rounded to the nearest hundred is: 800 When rounding to the nearest hundred, like we did with 822 above, We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
Step-by-step explanation:
Which graph represents a line with a slop of -2/3 and a y-intercept equal to that of the line y =2/x -2
Answer:
y = -2/3x - 2
Step-by-step explanation:
The slope of this line is -2/3 and the y-intercept is -2.
If this answer is correct, please make me Brainliest!
Easy Question, Easy Points
Topic: Volume
Focus on question 12
Answer:
The air is .6m^3
Step-by-step explanation:
The volume of a cube is
V = s^3 where s is the side length
The volume of the tank is
V = 1^3 = 1 m^3
The volume of the water is 1 by 1 by .4
V = l*w*h
= 1 *1*.4
= .4 m^3
The difference must be filled by air
1- .4 = .6 m^3
The air is .6m^3
Answer:
0.4 m³
Step-by-step explanation:
Volume of air:
Base area × height
1 × 1 × 0.4
0.4 m³
Solve X: -3x +32-2x=-2 (5x + 10)
How many solutions does
3x + 3 = 3(x + 1) have ?
1)
[tex] - 3x + 32 - 2x = - 2(5x + 10) \\ - 5x + 32 = - 10x - 20 \\ 5x = - 52 \\ x = - 10.4[/tex]
2)
[tex]3x + 3 = 3(x + 1) \\ 3x + 3 = 3x + 3 \\ 0x = 0[/tex]
This equation has an infinite number of solutions
The solution is infinite.
-Dhruva;)
What is (2x+2)-(3x+11)
Please help me ASAP
Answer:
B
Step-by-step explanation:
Please mark me brainiest
A. David notices that the shape of the Ligersville toxic dumpsite is somewhat like a triangle. He claims that he can approximate the perimeter of the dumpsite without doing any extra measurements. What assumption about side AB of the dumpsite would David need to make in order to justify his claim?
B. Based on the assumption in part A, determine the approximate length of side AB of the dumpsite. Explain your reasoning in at least two sentences.
C. Determine the approximate perimeter of the Ligersville toxic dumpsite. Explain your reasoning.
Answer:
A) AB is approximately straight line
B) 40 yards
C) 96 years
Step-by-step explanation:
A) For the toxic dump site to be traingular, AB must be a straight line to form hypotneuse of the traingle and that the traingle is right angle triangle
B) assuming a right angle triangle, using pythagoras theorem
H²=P²+B²
H²= 24²+ 32²
H= 40 yards
C) Parameter= 24+32+40=96 yards
Answer:
A. Side AB is approximately straight and forms the hypotenuse side of the right triangle
B. 40 yards
C. 96 yards
Step-by-step explanation:
A. The assumption about the curved side AB that David would need to make in order to justify his claim is that the side AB is straight and is the hypotenuse side of the right triangle.
B. The length of AB is thus;
√(24² + 32²) = 40 yard
C. The approximate perimeter is therefore;
24 + 32 + 40 = 96 yards
Whatttttt doesssss x equallllllll?
Answer: cos30
Step-by-step explanation:
Cos(angle) = adjacent leg/hypotenuse
Cos(x) = 4/21
X = arccos4/21
X = 79.0194 degrees
Round the answer as needed.
GETS BRAINILIST IF RIGHT PLS ANSWER QUICK 6TH GRADE ADV SCIENCE!!!!!The contractions experienced by women in labor are often very painful. Yet the body's feedback system encourages them to continue. Why?[Contractions] AA woman's feedback system goes haywire when she goes into labor incorrect answer BThough painful, the contractions help women give birth incorrect answer CThe feedback system also releases special hormones to kill the pain incorrect answer DThe baby's feedback system causes the contractions to continue, not the mother's feedback system
Answer:
the correct answer is b.) though painful, the contractions help women give birth
Step-by-step explanation:
The contractions in labor are part of a feedback system involving the uterus, hypothalamus and posterior pituitary gland, resulting in the release of oxytocin. This hormone triggers increased uterine contractions which helps in the birthing process, continuing until the baby is born.
Explanation:The contractions experienced by women in labor, despite being painful, are a necessary part of the birth process, and the body has a feedback system that encourages this process to continue. The basis for this is a feedback relay between the uterus, hypothalamus, and the posterior pituitary gland in the brain. The first contractions of labor, which are the stimulus, push the baby toward the cervix, the lowest part of the uterus. The cervix contains stretch-sensitive nerve cells that monitor the degree of stretching, these sensors then send messages to the brain, which in turn causes the pituitary gland at the base of the brain to release the hormone oxytocin into the bloodstream.
Oxytocin causes stronger contractions of the smooth muscles in the uterus, which are the effectors, pushing the baby further down the birth canal. This causes even greater stretching of the cervix. The cycle of stretching, oxytocin release, and increasingly more forceful contractions only stops when the baby is born. At this point, the stretching of the cervix halts, thereby stopping the release of oxytocin.
Learn more about Child labor and birth here:https://brainly.com/question/37670922
#SPJ3
Please help :( Orlando is making a design for a logo. He begins with a square measuring 20 inches on a side. The second square has a side length of 16 inches, and the third square has a side length of 12.8 inches. Which square will be the first square with a side length of less than 8 inches?
A. seventh square
B. fourth square
C. fifth square
D. sixth square
Answer:D
Step-by-step explanation:
1st --- 20
2nd -- 16
3rd -- 12.8
4th -- 10.24
5th -- 8.192
6th -- 6.5536
The first square with a side length of less than 8 inches is option (D) sixth square and it's side length is 6.5536 inches.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Orlando is making a design for a logo.
The first square measures = 20 inches
The second square measures = [tex](20-4 ) = 16 inches[/tex]
The third square measures = [tex]( 16-(4)(0.8))=16-3.2[/tex]
⇒ [tex]12.8 inches[/tex]
The fourth square measures = [tex]12-(3.2)(0.8)=12-2.56[/tex]
⇒ [tex]10.28 inches[/tex]
The fifth square measures = [tex]10.28-(2.56)(0.8) =10.28-2.048[/tex]
⇒ [tex]8.192[/tex]
The sixth square measures = [tex]8.092-(2.048)(0.8)=8.092-1.6384[/tex]
⇒ [tex]6.5536[/tex]
Hence we can conclude that the first square with a side length of less than 8 inches is option (D) sixth square and it's side length is 6.5536 inches.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
Find the solution or solutions to the equation 36=q²
The solutions for the given equation are the values: -6 and 6.
RootThe exponent of a number indicates how many times to use the number in a product. The root is the inverse of a power operation. For example:
[tex]x*x=x^2[/tex] and [tex]\sqrt{x^2}=x[/tex]. See that the square root of a number is the value of power [tex]\frac{1}{2}[/tex] .
Therefore, in this question for finding the value of q, you should apply the square root in both sides.
[tex]36=q^2\\ \\ \sqrt{36} =\sqrt{q^2} \\ \\ \pm 6=q[/tex]
You can check this result applying the power 2. See:
(-6)²=(-6)*(-6)=36
(6)²= (6)*(6)=36
Learn more about the square root here:
https://brainly.com/question/466136
Solve for b.
12 = -18 + 6b
Answer:
B=5
Step-by-step explanation:
mark me brainliest please
Answer:
b = 5
Step-by-step explanation:
12 = -18 + 6b
30 = 6b
5 = b
classify each event as simple or compound
spinning a spinner and flipping a coin
picking a marble from a bag
drawing a card from the deck
rolling a number cube twice
Answer:
1. Compound
2. Simple
3. Simple
4. Compound
Step-by-step explanation:
The way I differentiated these was based on the quantitivity of each scenario. I related it to compound and simple sentences. For example, when one act was committed, it was clearly singular & simple. But if there was two actions consecutively, I'd consider that compound.
Answer:
compound
Step-by-step explanation:
hope this helps
Help solve this please
Answer:
Step-by-step explanation:
you add the balance then you will get the balance for u answer and if i didn't help u i'm sorry
the floor of the truck is 36 inches high and the bottom of the ramp needs to be 323 inches from the truck. how long does Abraham need to make the ramp?
Answer:
About 324.96 inches
Step-by-step explanation:
Pythagorean Triangle Formula: a²+b²=c²
36²+323²=c²
1296+104329=c²
c²=105,598
Square root both sides
c=[tex]\sqrt{105,598}[/tex]
c=324.958459 inches≈324.96 inches
Suppose a parabola has vertex (–8, –7) and also passes through the point (–7, –4). Write the equation of the parabola in vertex form.
a.y=(x+8)^2-7
b.y=3(x-8)^2-7
c.y=3(x+8)^2-7
d.y=3(x+8)^2+7
We have been given that a parabola has vertex [tex](-8,-7)[/tex] and also passes through the point [tex](-7,-4)[/tex]. We are asked to write the equation of the parabola in vertex form.
We know that vertex form of parabola in format [tex]y=a(x-h)^2+k[/tex], where point (h,k) represents vertex of parabola.
Let us write equation of parabola using our given information as:
[tex]y=a(x-(-8))^2-7[/tex]
[tex]y=a(x+8)^2-7[/tex]
Now we will substitute the coordinates of point [tex](-7,-4)[/tex] to solve for a as:
[tex]-4=a(-7+8)^2-7[/tex]
[tex]-4=a(1)^2-7[/tex]
[tex]-4=a-7[/tex]
[tex]-4+7=a-7+7[/tex]
[tex]3=a[/tex]
Therefore, our required equation would be [tex]y=3(x+8)^2-7[/tex] and option 'c' is the correct choice.
true or false:
In naming arcs, ABC is equivalent to AC
Answer:
True
Step-by-step explanation:
I have a picture of my notes right here
if a quadrilateral is a square then is it a rectangle
Answer:
Yes it is.
Step-by-step explanation:
I did some research, plus we learned about this in Geometry
Plz click the Thanks button!
<Jayla>
Find the arc length of a semicircle
Answer:
28.26
Step-by-step explanation:
Please help me now plz
I will mark you brainliest
Answer:
16
Step-by-step explanation:
Since this is a right triangle, we can use trig identities
sin theta = opp / hyp
sin 30 = 8 / NO
Multiply each side by NO
NO sin 30 = 8
Divide each side by sin 30
NO = 8 /sin 30
NO = 8 / 1/2
NO = 16
Graph: f(x) = (1/4)
Step 1: Calculate the initial value of the function.
f(0) =
Answer:
Step-by-step explanation:
its 1
The given function f(x) = (1/4)ˣ, the initial value of the function when x is substituted in the function is , 1
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
Graph of function f(x) = (1/4)ˣ
when value of x is substituted in given function,
f(0) = (1/4)⁰
f(0) = 1
So, the initial value of the function is 1
To know more about Functions check:
https://brainly.com/question/5975436
#SPJ5
Evaluate the expression c=-8 -2c=
Answer: +16
Step-by-step explanation: In this problem, we want to evaluate the expression, -2c, when c is equal to -8.
Since we have -2c and c is -8, we simply multiply -2(-8) which is +16.
Determine the volume of each right prism
A- area of base = 6cm2, height = 4cm
B- Area of base = 20cm, height =2cm
C- Height = 10cm, area of base = 15cm
Step-by-step explanation:
A:24
B:40
C:150
Hope this helped if I was correct
Which shape could be thought of as being created by stacking congruent polygons?
cone
rectangular prism
square pyramid
triangular pyramid
Answer:
its B
Step-by-step explanation:
Final answer:
A rectangular prism can be thought of as being created by stacking congruent polygons, as its faces are identical rectangles or squares. Pyramids, on the other hand, have a consistent base but their side faces are triangles that converge, not congruent polygons. A cone does not consist of stacking polygons since it has a continuous curved surface.
Explanation:
The shape that could be thought of as being created by stacking congruent polygons is the rectangular prism. When you stack identical polygons directly on top of each other, you are essentially creating the sides of a prism. Rectangular prisms are made up of congruent rectangles (or squares if it's a cube). Each face is identical, and they are stacked in a way that the height of the prism adds dimensionality but does not change the consistency of each face being a congruent polygon.
In contrast, when you consider shapes like pyramids, they do not have congruent faces all around. For example, a square pyramid has a square base, but the side faces are triangles that converge at a point. Similarly, a triangular pyramid (also known as a tetrahedron) also does not have congruent faces all around since it consists of equilateral triangles that meet at a point. The cone is a special case where the base is a circle (an infinite number of infinitesimally small sides), and the surface is a continuously curved shape, so it does not consist of stacking congruent polygons.
rewrite the product as a sum: 10cos(5x)sin(10x)
Answer:
10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Step-by-step explanation:
In this question, we are tasked with writing the product as a sum.
To do this, we shall be using the sum to product formula below;
cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]
From the question, we can say α= 5x and β= 10x
Plugging these values into the equation, we have
10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]
= 5[sin (15x) - sin (-5x)]
We apply odd identity i.e sin(-x) = -sinx
Thus applying same to sin(-5x)
sin(-5x) = -sin(5x)
Thus;
5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]
= 5[sin (15x) + sin (5x)]
Hence, 10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
x + y = 7 x + y = 6 What is the solution of the system shown? (6, 12) ( , 14) (10 , 5)
Answer:
no solution
Step-by-step explanation:
x + y = 7
x + y = 6
Multiply the second equation by -1
x + y = 7
-x - y = -6
-----------------------
0x +0y = 1
0 =1
This is never true so there is no solution
racehorse weighs 470 kilograms. How much does it weigh in grams
Answer: 470000 grams
Step-by-step explanation:
1 kilogram =1000 grams
470×1000=470000
Answer:
it weighs 470000 grams ...
Step-by-step explanation:
1 kg = 1000
470 kg = 470×1000 => 470000
what is the factor y^2-11y+18
Answer:
(y-9)(y-2)
Step-by-step explanation:
-9 and -2 add up to -11 and when multiplied they make a positive 18
Answer:
Step-by-step explanation:
Sum = -11
Product = +18
Factors are : 9 , 2
y² - 11y + 18 = y² - 9y -2y + (-9)*(-2)
=y(y - 9) -2(y - 9)
= (y - 9)(y - 2)
Find the median:
3, 5, 7, 4, 3,1
Answer:
3.5
Step-by-step explanation:
The median is the middle number when the numbers are aligned from smallest to largest
3, 5, 7, 4, 3,1
1,3, 3, 4 ,5 ,7
The middle is between the 3 and the 4 so average the 3 and the 3
(3+4)/2 = 7/2 = 3.5
The median is 3.5