Answer:
(1): -4.7 - 2.3x + 0.5 - 4x
(2):-5.3x-4.2-x
(3):-3.4-6.3x-0.8
Step-by-step explanation:
By Collecting like terms and adding the answer I get -6.3x - 4.2
(1):-4.7-2.3x+0.5-4x
Collect like terms
-2.3x-4x-4.7+0.5
-6.3x-4.2
(2):-5.3x-4.2-x
Collect like terms
-5.3x-x-4.2
-6.3x-4.2
(3): -3.4-6.3x-0.8
Collect like terms
-6.3x-3.4-0.8
-6.3x-4.2
Answer:
The first 3 are equivalent the last 3 aren't.
Step-by-step explanation:
Ginger still has 40 percent of her book to read. If she has read 180 pages, how many pages does she still have to read?
Answer:
Ginger still has 40 percent of her book to read. If she has read 180 pages, the number of pages she still have to read:
N = 180 x (100 - 40)/40 = 270 pages
Hope this helps!
:)
A ball is thrown straight up from a cliff. The function f(x)= -4.9t^ + 17t +19 describes the height of the ball, in meters, as a function of time, t, in seconds. What is the maximum height of the ball? At what time is the height reached? Round your answer to one decimal place.
Answer:
33.7 m at 1.7 seconds
Step-by-step explanation:
For quadratic ax^2+bx+c, the line of symmetry (x-coordinate of the vertex) is ...
-b/(2a)
For your quadratic, the vertex (highest point) is reached at time ...
t = -(17)/(2(-4.9)) = 17/9.8 ≈ 1.7 . . . . seconds
__
The height at that time is ...
f(17/9.8) = (-4.9(17/9.8) +17)(17/9.8) +19 = 289/19.6 +19 ≈ 33.7 . . . meters
_____
Comment on the function evaluation
We have used the "Horner form" of the function to make evaluation easier.
f(t) = (-4.9t +17)t +19
Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now?
If Jane's current age is x, the equation will be [ equation ]
Helen is [ ]
years old. Jane is [ ]
years old.
H = 8 + x
H - 20 = 3(x - 20)
8 + x - 20 = 3(x - 20)
x - 12 = 3x - 60
48 = 2x
24 = x (Jane) -->
33 = H (Helen)
A number increased by 11 is equal to twice the number decreased by 12
Answer: 10
Step-by-step explanation:
Healthy grains is planning a new design for its best-selling oatmeal. It has four containers to choose from
The question is incomplete:
Healthy Grains is planning a new design for its best-selling oatmeal. It has four containers to choose from. It costs the company $0.03 per cubic inch of oatmeal to fill a container. The company does not want the new container to cost more than $4.00 to fill. Which container should the company use? Use 3.14 for Pi.
Container A: A cylinder with height 7 inches and diameter 5 inches.
Container B: A cylinder with height 10 inches and B = 12.57 inches squared.
Container C: A cylinder with height 5.5 inches and radius 4 inches.
Container D: A cylinder with height 6 inches and radius 3 inches.
Answer:
Container B
Step-by-step explanation:
To find the answer you have to calculate the volume of each container and then, multiply that for $0.03 that is the cost per cubic inch to fill a container.
The formula to calculate the volume of a cylinder is:
V=πr^2h, where
r= radius
h= height
πr^2= base area
Container A:
The radius is half the diameter, so 5/2=2.5.
V= 3.14*(2.5^2)*7= 137.37
Cost= 137.37*0.03= 4.12
Container B:
12.57 inches is the base area, so:
V= 12.57*10= 125.7
Cost= 125.7*0.03= 3.77
Container C:
V= 3.14*(4^2)*5.5= 276.32
Cost= 276.32*0.03= 8.28
Container D:
V= 3.14*(3^2)*6
V= 169.56*0.03= 5.08
According to this, the answer is that the container that the company should use is container B because it costs less than $4.00 to fill.
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
D
Step-by-step explanation:
Answer:C and D
Step-by-step explanation:
7x^2-42x=0
First find the highest common factor of 7x^2 and 42x
7x^2=7 x X x X
42x=2 x 3 x 7 x X
Highest common factor is 7x
7x(x-6)=0
7x=0. or x-6=0
x=0. or x=6
If you are given the coordinates of A, B, C, and D, how could you prove that ABCD is a rectangle?
A. Use the slope formula to show that AB∥CD, BC∥AD, AC⊥BD.
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.
C. Use the distance formula to show that AB = CD, BC = AD, and use the midpoint formula to show that the midpoint of AC and the midpoint of BD are the same point.
D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.
E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.
Answer:
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.Step-by-step explanation:
Your question does not say, "check all that apply," but I see three possible answers.
A -- can be ruled out because the diagonals of a rectangle are not necessarily perpendicular. This will show the figure is a rhombus.
B -- When both pairs of opposite sides are the same length, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.
C -- When opposite sides are the same length, the figure is a parallelogram. The diagonals of any parallelogram will have the same midpoint.
D -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with a right angle must be a rectangle.
E -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.
_____
Additional comment
My favorite method is to show AC = BD and their midpoints are the same. The midpoints of the diagonals being the same makes it a parallelogram, and the same-length diagonals makes the parallelogram a rectangle.
You need to be taller than 48" to ride the roller coaster. Which of the following inequalities shows the height Susan has to be to ride the roller coaster.
h < 48"
h > 48"
h ≤ 48"
h ≥ 48"
Answer:
> 48"
Step-by-step explanation:
> represents greater than 48"
xin orders five identical loaves of bread
Is there anything else that goes with the question or is that it?
If a punnet of strawberries wrighs 100g, how many punnets would weigh 1 kg
Step-by-step explanation:
1kg = 1000g so
10 x 100 = 1000
So 100 punnets of strawberries weigh 1 kg
The roots of a quadratic equation are 6 and 3/4. If one of the two factors of the equation is x – 6, what is the second factor?
A. 3x - 4
B. 3x + 4
C. 4x - 3
D. 4x + 3
Answer:
C. 4x - 3
Step-by-step explanation:
The factor could be (x -3/4). Apparently, you're expected to show the factor as 4 times this, or ...
4x -3 . . . . . matches choice C
___
If r is a root, then (x -r) is a factor. As here, factors containing fractional roots can be multiplied by the denominator to make the coefficients be integers.
For a school event 1/6 of the athletic field is reversed for the fifth -grade classes the reserved part of the field is divided equally Among the 4 fifth grade classes in the school what fraction of the whole athletic field is reserved for each fifth class
Answer: 1/24
Step-by-step explanation:
We have that 1/6 of the total field is reserved for the fifth-grade classes.
We have 4 fifth-grade classees.
Then each one of those 4 classes, has (1/4) of the reserved space.
This is:
space for each fifth-grade class = (1/4)*(1/6) = 1/24
So each fifth-grade class has a 1/24 of the total field.
C=
5
9
(F−32)
Can someone please help me with this
Answer:
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Step-by-step explanation:
What is the volume of the prism below?
simplify the expression (3k / 8)^2
Answer:
9k/64^2 (9k^2/64^2)
Step-by-step explanation:
Answer:
9k^2/64
Step-by-step explanation:
3*3=9
k*k=k^2
8*8=64
A girl and a puppy are 850 feet apart when they start running towards each other. The girl runs at a speed of 8 feet per second, and the puppy runs at a speed of 7 feet per second. How soon will they meet?
Answer:
The correct answer is 56.6666666667 second's
Answer:
56 2/3
Step-by-step explanation:
what geometric figure is the union of two noncollinear rays a b and a c
9514 1404 393
Answer:
angle bac
Step-by-step explanation:
Both rays emanate from the shared point 'a', which will be the vertex of ...
angle bac
josh wants to make 5 airplane propellers. he needs 18 centimeters of wood for each propeller. how many centimeters of wood will he use?
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Answer:
0,8,5
Step-by-step explanation:
x+22 <32
Subtract 22 from each side
x+22-22 <32-22
x <10
The choices that fit
0,8,5
Answer:
Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.
Step-by-step explanation:
x + 22 < 32
This problem is fairly simple! All we need to do is substitute each number given for x and compute to find out if the equation will be true! First what we need to do is plug in each number given into our variable x. Our numbers are: 0, 10, 8, 71, 15, and 5
x = 0
0 + 22 < 32
22 < 32
Is 22 less than 32? It is! So it belongs to the solution set.
x = 10
10 + 22 < 32
32 < 32
32 is equal to 32, not less than 32. A number cannot be itself and less than itself, thus x = 10 does not belong to the solution set.
x = 8
8 + 22 < 32
30 < 32
Is 30 less than 32? Yes! Since the inequality is true (that's what these kinds of equations are called) it belongs to the solution set.
x = 71
71 + 22 < 32
94 < 32
Is 94 less than 32? No. 71 does not belong to this solution set.
x = 15
15 + 22 < 32
37 < 32
37 is not less than 32. Therefore it doesn't belong to the solution set.
x = 5
5 + 22 < 32
27 < 32
Is 27 less than 32? Yes. Therefore, it belongs to the solution set.
Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.
White and black shapes are used in a game Some of the shapes are circles All the other shapes are squares The ratio of white to black shapes is 5:11 The ration of white circles to white squares is 3:7 The ratio of black circles to black squares is 3:8 What fraction of all the shapes are circles
Answer:
9/32
hope this helps
please answer these, it is urgent
Answer: 1 is D
2 is c
Step-by-step explanation:
Solve each equation.
13 = -2w
Answer:
w = -6.5
Step-by-step explanation:
We want to get rid of the coefficient of w so that we can solve for w. To do that, let's divide both sides of the equation by -2. When we do so, we get -13/2 = w. Hope this helps!
You are conducting research for a popular blog to find out the proportion of readers who are satisfied with the site's newly designed navigation. You want to make sure that you increase your chances for capturing the true proportion of readers who are satisfied, but the margin of error is too large.
Which of the following would you do?
A. Use a larger confidence level, but choose a smaller margin of error
B. To increase your confidence, you must be willing to accept a smaller margin of error
C. To get a smaller margin of error, you must be willing to accept lower confidence
D. All of the above
Answer: Option(C) is correct option
Explanation:
Margin of error is the factor that occurs in survey for determining random sampling error. It indicates about confidence interval (CI) through describing difference occurring in poll result and actual population value.If there is high margin of error, then confidence is low because poll result will not reflect the actual population result collected through survey.
According to the question, researcher would try to get small margin of error so that lower confidence interval can be acceptable because large confidence interval(CI) will indicate more margin of error.
Other options are incorrect because small margin of error cannot produce increment in confidence or usage of large confidence.Large confidence interval will result in large margin of error. Thus, the correct option is option(c).
25 POINTS HELP ASAP , Please read question THEN answer correctly also will give BRAINLIEST! No guessing.
Answer:
B and D
Step-by-step explanation:
Simply set each factor, that is the expression in each set of brackets equal to 0;
This will give the equations that you need to solve to get the roots.
add 5 1/2 kg to 450g
1kg = 1000g
51/2 kg= 51/2×1000=51×500=25500g
25500g+450g= 25950g
Answer:
[tex]5950g[/tex]
Step-by-step explanation:
[tex]5 \frac{1}{2} kg \\ = 5kg \: 500g \\ = 5500g[/tex]
Now let's add.[tex] \: \: \: \: \: \: 5500g \\ + \: \: \: \: 450g \\ =5950 g[/tex]
So the correct answer is,[tex] = 5950g = 5kg \: 950g[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
c. two hundred thirty-one and five tenths - in decimal standard form
Answer:
231.5
five tenths = 0.5
A spinner is divided into 8 equal sections numbered 1 to 8. About how many times would you expect the pointer to land on a number less than 6 if the pointer is spun 30 times.
Answer:
The answer is
6.25×30= 18.75
I'm not sure but this is what I think
i need some help please
Answer:
Choice D
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
3×4h equals 12h, and 3×2k equals 6k. Which is also known to be 12h+6k.
FInd the permiter of a square with an area of 702.25 square yards
Answer:
The perimeter of the square is 106yd
Step-by-step explanation:
To solve this we first have to know the formula to calculate the area of a square
a = area = 702.25yd²
s = side
a = s * s
we replace the values
702.25yd² = s * s
702.25yd² = s²
√(702.25yd²) = s
26.5yd = s
The side of the square is 26.5yd
Now we have to use the formula to calculate the perimeter of a square
p = perimeter
s = side = 26.5yd
p = 4 * s
we replace with the known values
p = 4 * 26.5yd
p = 106yd
The perimeter of the square is 106yd
Answer:106 yards
Step-by-step explanation:
Length=L
Area=702.5
Area of square=L x L
702.5=L X L
702.5=L^2
L=√(702.5)
L=26.50
perimeter of square=4 x L
Perimeter of square=4 x 26.50
Perimeter of square=106
Perimeter of square=106 yards
please help me I would really appreciate it this really affects my grade need the answer the ASAP
Answer:
27/6, 4 3/6, or simplified version 4 1/2
Step-by-step explanation:
Always convert the mixed numbers into an improper fraction before you solve, this makes it easier to solve.
2 4/6 = 16/6
1 5/6 = 11/6
3 4/6 = 22/6
Now we solve. Remember, you do NOT add the denominator, leave it as 6 not 12. You only add the numerator.
16/6 + 11/6 = 27/6, 4 3/6 or simplified as 4 1/2
22/6 + 5/6 = The same as above.
