Answer:
-4.2c+4.8d
Step-by-step explanation:
(−7c+8d)0.6
Distribute
-7c*.6 + 8d * .6
-4.2c+4.8d
Answer:
-4.2c + 4.8d
Step-by-step explanation:
We would like to distribute the 0.6 in the expression (-7c + 8d) * 0.6.
Remember that when distributing, we multiply the "outside number" (0.6 in this case) by each of the "inside numbers" (-7c and 8d) and then add those products.
So, the first product will be: 0.6 * (-7c) = -4.2c. The second product will be: 0.6 * 8d = 4.8d. Add these together: -4.2c + 4.8d.
The answer is thus -4.2c + 4.8d.
~ an aesthetics lover
Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?
Answer:
Your answer is correct
Step-by-step explanation:
(2^5/4)² = 4^5/2 = √4^5
The correct answer is option B which is [tex]\sqrt{2^5}[/tex].
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression will be solved as follows:-
[tex]E = ([ 2^{\frac{1}{2}} \times 2^{\frac{3}{4}}])^2\\E = (2^{({\frac{1}{2}+\frac{3}{3}})})^2\\E = (( 2 )^ {\frac{5}{4})}^2 \\E = ( 2 ) ^{\frac{5}{2}}\\E = \sqrt{2^5}[/tex]
Therefore the correct answer is option B which is [tex]\sqrt{2^5}[/tex].
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Please help me.. please
Hey there! :)
Answer:
$10 balcony
$15 orchestra
Step-by-step explanation:
We can solve for the prices of each seat by creating an algebraic expression:
Let 'x' be the cost of a balcony seat:
and 'x + 5' be the cost of an orchestra seat.
200 of both seats were sold, therefore:
200(x) + 200(x + 5) = 5000
Distribute:
200x + 200x + 1000 = 5000
Combine like terms:
400x + 1000 = 5000
Subtract 1000 from both sides:
400x = 4000
Divide:
x = $10 for the balcony seat.
Substitute this value of x to solve for the cost of an orchestra seat:
(10) + 5 = $15.
Therefore:
$10 balcony
$15 orchestra
A cylinder with a base diameter of x units has a volume of πx3 cubic units. A cylinder with a base diameter of x units has a volume of pi x cubed cubic units. Which statements about the cylinder are true? Select two options. The radius of the cylinder is 2x units. The area of the cylinder’s base is One-fourthπx2 square units. The area of the cylinder’s base is One-halfπx2 square units. The height of the cylinder is 2x units. The height of the cylinder is 4x units.
Answer:
The height of the cylinder is 4 x units.
The area of the cylinder’s base is One-fourthπx2 square units
Step-by-step explanation:
Formula for volume of the cylinder:
V = r² π h
Volume of the cylinder=
πx^3
Diameter=x
Radius (r)=diameter/2
=x/2
V = r² π h
πx^3=(x/2)^2πh
πx^3=(x^2/4)πh
Divide both sides by π
x^3=(x^2/4)h
Make h the subject of the formula
h=x^3÷x^2/4
=x^3×4 / x^2
=4x^3 / x^2
=4*x*x*x / x*x
h=4x
Area of the base:
B = r² π
Recall, r=x/2
B=(x/2)^2 * π
=(x^2/4)π
=πx^2/4
=1/4(πx^2)
The area of the cylinder’s base is One-fourthπx2 square units.
Answer:
B & E
Step-by-step explanation:
Edge 2020
Find the measure of one exterior angle for the following regular polygon.
Answer:
72º
Step-by-step explanation:
Hey there!
Well the interior of a pentagon's angle is 108º,
so we do,
180 - 108 = 72º
Hope this helps :)
Answer:
72°
Step-by-step explanation:
→ First find the measure of all interior angle, utilise the formula (n-2) × 180° where n is the number of sides
(n-2) × 180° ⇔ (5-2) × 180° ⇔ 3 × 180° ⇔ 540°
→ 540° is the total sum of the angles in the pentagon, divide this by 5 to get one of the interior angles
540° ÷ 5 = 108°
→ Now, remember the fact that 1 interior + 1 exterior angle = 180°
180 - ( 1 interior angle ) → 180 - (108) = 72°
1.
solve the
following
simultaneous equations graphically.
y = 8-x
y=x-2
Answer:
(5,3)
Step-by-step explanation:
Well to solve the following,
y = 8 - x
y = x - 2
Graphically.
We need to graph both equations,
Look at the image below ↓
By looking at the graph we can tell the intercept point is at (5,3).
Thus,
the solution is (5,3).
Hope this helps :)
Do,2 of Y is:
(5, 4)
(6,4)
(3/2,1)
Answer:
(6,4)
Step-by-step explanation:
This question asks you to dilate by a factor of 2, and from the origin. Because it is from the origin, we can simply multiply the coordinates of Y by 2
3*2=6
2*2=4
so the result is 6,4
The dilation of the coordinate Y(3, 2) by 2 is (6, 4). we just have to multiply the y coordinate by 2.
What is dilation?Dilation simply means changing the size of an object without changing its shape.
In other words dilation is a transformation that reudces or enlarges a particular shape.
Therefore, we are asked to dilate the coordinate of y by 2.
Hence, we have to multiply the coordinates of y by 2 to get the new dilated figure.
Dilation of Y by 2 is 2(3, 2) = (6, 4)
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A man is 26 years older than his son. He is also 8 years older than three times his son’s age. Find the son’s age. A. 9 years B.10 years C. 12 years D. 14 years
Answer:
9 years
Step-by-step explanation:
hope it helps the
the explanation is kinda long
you toss a coin and roll a number cube.find p(heads and an even number) a)1 b)1/6 c)1/12 d)1/4
Answer:
1/4
Step-by-step explanation:
determine (a) the volume and (b) the surface area of the three-dimensional figure. when appropriate, use the pi key on your calculator.
Step-by-step explanation:
The figure above is a cube since all it's sides are equal
Volume of a cube = l³
where l is the length of one side
From the question
l = 5
So the volume of the cube is
Volume = 5³
Volume = 125 cm³Surface area of a cube = l²
= 5²
Surface area = 25cm²Hope this helps you
just a few questions pls!!!!!!
Which of the following possibilities will form a triangle?
Side = 13 cm, side = 6 cm, side = 6 cm Side = 13 cm, side = 5 cm, side = 8 cm Side = 14 cm, side = 7 cm, side = 6 cm Side = 14 cm, side = 6 cm, side = 9 cm
Wendy described four triangles as shown below:
Triangle A: All sides have length 9 cm. Triangle B: Two sides have length 10 cm, and the included angle measures 60°. Triangle C: Two angles measure 50°. Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle? Triangle A Triangle B Triangle C Triangle D
Victor wrote the following statement: "You can only draw one unique isosceles triangle that contains an angle of 85°." Which statement is true?
Victor is correct, because only one unique triangle can be drawn with the given information.
Victor is incorrect, because more than one triangle can be drawn with the given information.
Victor is incorrect, because the triangle described cannot be drawn with the given information.
None of the above.
Answer:
First question: last option
The triangle inequality states that the sum of he two shortest sides of a triangle must be greater than the longest side, therefore the answer is 14, 6, and 9 because 6 + 9 > 14 is a true statement.
Second question: I'm not sure, sorry
Third question: second option
He never specified if 85° was the base angle or not so he could draw 2 triangles: one with 85° as the base angles and one with 85° as the other angle.
Answer:
Step-by-step explanation:
first : Side = 13 cm, side = 6 cm, side =6
second : Side = 13 cm and 5 and 8
third: Side = 14 cm, side = 7 cm and 6
forth : 14 cm, side = 6 cm, side = 9 cm
to form a triangle the theory is: a+b>c and b+c>a and a+c>b
first one : a=13 b=6 and c=6 ( not a triangle)
second: a=13 b=5 and c=8 ( not a triangle)
third : a=14,b=7,c=6 (not a triangle)
forth : a=14,b=6,c=9 ( a triangle 14+6>9,6+9>14, and 9+14>6)
Wendy description :Triangle A: All sides have length 9 cm.
Triangle B: Two sides have length 10 cm, and the included angle measures 60°
Triangle C: Two angles measure 50°.
Triangle D: Base has length 8 cm, and base angles measure 45°
triangle A is equilateral triangle all sides are equal it is a special triangle because it has three sides and angles equal.
Triangle C: is not unique because you can not specify triangles by given angles only
Victor is incorrect, because more than one triangle can be drawn with the given information because only two sides are given and the third con be different.
On an uphill hike Ted climbs at 3mph. Going back down, he runs at 5mph. If it takes him forty minutes longer to climb up than run down, then what is the length of the hike? if possible, I would like a clear equation.
Answer:
He hiked 10 miles.
Step-by-step explanation:
rate x time = distance
The distance up and the distance down are equal
3 mi/1 hr x (h hours + 2/3 hr) = 5 mi/1 hr x h hours
3h + 2 = 5h
2 = 2h
h = 1 hour
3mi/hr x 1 2/3 hr = 5 miles
5 mi/hr x 1 hr = 5 miles
Given f(x) = log x and g(x) = -x + 1,
which is the graph of
(fog)(x)?
Answer:
the third graph is correct
Step-by-step explanation:
edge
the second part is x<1
Answer:
the third graph and the send part it is x<1
Step-by-step explanation:
How can systems of linear equations with two variables be solved using algebraic methods?
Answer: The systems are solved by solving for one variable in one of the equations, then substituting that equation into the second equation. Solve for a in the second equation, then substitute the second equation into the first. The Elimination Method: Both equations are in standard form: Ax + By = C.
Sadie simplified the expression √54a^7b^3, where a>=0, as shown: √54a^7b^3= √3^2•6•a^2•a^5•b^2•b=3ab √6a^5b
Answer:
We are to find the error made by Sadie and then find the correct simplification.
The error Sadie made is that she wrote [tex]a^7[/tex] as [tex]a^2 * a^5[/tex] instead of [tex]a^6 * a[/tex].
The square root of [tex]a^6[/tex] is [tex]a^3[/tex] and so she could have further simplified.
The correct simplification is shown below:
[tex]\sqrt{54a^7b^3} = \sqrt{2 * 3 * 3 * 3 * a^6 * a * b^2 * b} \\ \\= \sqrt{3^2 * a^6 * b^2 * 6 * a * b} \\\\= 3a^3b\sqrt{6ab}[/tex]
Answer:
We are to find the error made by Sadie and then find the correct simplification.
The error Sadie made is that she wrote as instead of .
The square root of is and so she could have further simplified.
Step-by-step explanation:
On edge2021
URGENT!! Please help me with this as soon as possible!!
The statement is valid because the measure of the vertices located in the center of the pentagon is the quotient of 360 and 5, and the sum of two base angles in the given isosceles triangle is 108.
==========================================================
Explanation:
Check out the diagram below. I have added x and y such that
x = base angle
y = vertex angle (located adjacent to center of polygon)
The pentagon is sliced up like a cake into 5 equal portions. Each vertex angle is y = 360/5 = 72 degrees.
The two base angles x must add with the vertex angle y to get 180
(angle1)+(angle2)+(angle3) = 180
x+x+y = 180
2x+y = 180
2x+72 = 180
2x = 180-72
2x = 108
This is true for any one of the five triangles. Notice that for angle LMN, we can divide it into LMQ and QMN where Q is the center of the polygon. Both of these angles are x. Since we've shown 2x = 108, we can see that LMN must also be 108 as well.
Choice A is close, but we wouldn't use the exterior angle theorem. Choice B is the better answer.
On average, the post office processes 45.6 letters every hour. How many letters can the office process during the 9 hours it is open? 410.4 4104 405 None of the above During Christmas, the post office opens 12 hours a day. Compared to usual days (9 hours), how many more letters can the post office process? 410.4 136.8 547.2 None of the above
Answer:
410.4
136.8
Step-by-step explanation:
Because the post office processes 45.6 letters every hour and is open 9 days an hour, it processes 45.6*9, or 410.4 letters per day. Because it is open on Christmas for 3 hours more than normal days(12-9), it produces 45.6*3, or 136.8 more letters on Christmas.
Hope it helps <3
Answer:
A. 410.4 letters
B. 136.8 more letters
Step-by-step explanation:
1.
We know that the post office processes 45.6 letters per hour. If we want to know how many letters they process in 9 hours, we can multiply 45.6 and 9.
45.6 * 9
Multiply
410.4
The post office can process 410.4 letters in 9 hours, therefore A is correct.
2.
The post office still process 45.6 letters per hour, but they are open for 12 hours. First, multiply 12 and 45.6.
12 * 45.6
547.2
We are asked to find how many more letters they can process. We need to find the difference between the letters they normally process and the letters they process on Christmas.
Christmas - normal
They process 547.2 on Christmas and 410.4 normally.
547.2 - 410.4
136.8
They process 136.8 more letters on Christmas. Therefore, choice B is correct. Thank
Ahmed earns $1.50 for every video game he sells. When he sells one carton of 30 video game, he earns an additional $10. What is the minimum number of video games he has to sell in order to earn $450?
Answer:
Step-by-step explanation:
1.50x + 10[x/30] >= 450
x >= 246.3
check:
1.50*246 + 10*8 = 449
$450
A right triangle has legs of 5 ft and 6 ft. What is the length of the hypotenuse? _____ ft. A. 7.8 B. 3.3 C. 11.0 D. 1.0
Answer:
7.8Option A is the correct option.
Step-by-step explanation:
Base (b) = 5 ft
Perpendicular (P) = 6 ft
Hypotenuse (h) = ?
Now,
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex] {h}^{2} = {(6)}^{2} + {(5)}^{2} [/tex]
[tex] {h}^{2} = 36 + 25[/tex]
[tex] {h}^{2} = 61[/tex]
[tex]h = \sqrt{61} [/tex]
[tex]h = 7.8 \: ft[/tex]
Hope this helps...
Good luck on your assignment
Answer:
a. 7.8
Step-by-step explanation:
a fish tank is : 16 in
Height : 10 in
Width : 8 in how many gallons is it ? NEED HELP ASAP
Answer:
5.541 gallons
Step-by-step explanation:
The fish tank is 1280 cubic inches, which equates to 5.541 US liquid gallons.
Answer:
5.54 gallons (aprox.)
Step-by-step explanation:
volume = 16in * 10in * 8in
volume = 1280in³
Convert cubic inch to gallons is:
1 inch³ = 0.004329 gallon
then:
1280in³ = 1280*0.004329 = 5.54 gallons (aprox.)
is 4,8,10 pithogoreon triplet
Answer: No
Step-by-step explanation:
No, because 4^2 is 16, 8^2 is 64, 10^2 is 100 and 16+64 = 80 and 80≠100
PLEASE ANSWER FAST.What is the probability that only girls bought lunches? 25% 41.6% 75% 50%
Answer:
The correct answer is 50.6195
Step-by-step explanation:
The probability that only girls bought lunches is given as D. 50%
How to solve
To find the probability that only girls bought lunches, we solve:
We can see that the total number of girls is 30 and the total number of both boys and girls is 60
So, to solve, it becomes:
30/60= 50%
Probability is a mathematical concept used to measure the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain), and is calculated using ratios, frequencies, or subjective judgments.
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I need the answer to this question please! :)
Answer: .28
Step-by-step explanation:
.3+.42= .72
1-.72=.28
Answer:
0.28
Step-by-step explanation:
The sum of a list of probabilities = 1
Sum of given probabilities = 0.72
So, probability of getting pasta = 1-0.72 = 0.28
Hope this helps
What is the standard deviation of the data set given below?
4, 7, 8, 9, 12
O A. -2.5
O B. 18.5
O c. 6.8
O D. 76.8
E. 2.5
O F. 8.5
Answer:
The answer is 2.6 but that's not listed as an option so try 2.5?
Write an equation expressing the volume of the box made by paper x by 16 from which a square with side length 2 is cut from each corner and the sides of a box will are folded as shown.
Answer: V = 24*(x - 4) with the condition x > 4.
Step-by-step explanation:
The volme of a cube/box is equal to:
V = W*L*H
where W = width, L = lenght and H = heigth.
First:
We know that the cubes cut in the corner have a side length of 2.
Then the remaining part is folded up, and this is now the height.
So the height of the box is equal to 2.
Now, we know that the initial measures of the piece of paper are x by 16
But now, in each extreme, we subtracted 2 units, that are now the new heiht, so now the piece of paper is (x -2 -2) by (16 -2 - 2)
or (x - 4) by 12.
Then the volume of the box is:
V = (x -4)*12*2 = 24*(x -4)
Notice something, if x is equal or smaller than 4, then we have a negative volume or a volume equal to zero. Those are problems in our model, so we should use the condition x > 4.
plz help me .................
the price of a jacket was slashed from RS 960 to RS 816 .then the rate of discount offered is 10 percentage
Answer:
15%
Step-by-step explanation:
Question:
The price of a jacket was slashed from Rs.960 to Rs.816.Then the rate of discount offered is
Solution
Original price= Rs.960
Discount price= Rs.816
Difference in price=Original price - discount price
=Rs. 960 - Rs. 816
=Rs. 144
Percentage discount= Difference in price / Original price × 100
=Rs. 144 / Rs. 960 × 100
=0.15 × 100
=15%
The percentage discount =15% NOT 10% as you have written
Hello!! Plz ans with explanation.. Plz!! I need it ASAP!!! PLZ TYSM
Faaast!!
Answer:
1/4
1/2
3/4
Step-by-step explanation:
Given:
Types of colors in the spinner
Yellow 1
Red 2
Blue 1
Total:4
Successful outcome of Yellow:1
Successful outcome of Red:2
Successful outcome of Blue:1
Required:
Probability of the
blue sectorred sectornot on yellow sectorFormula:
Probability= successful outcome ÷ possible outcome
Solution
Blue sectorProbability=1 ÷ 4
Red sectorProbability= 2÷4
not on yellow sectorProbability= 3÷4
Hope this helps ;) ❤❤❤
This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10. The average response was that the regular movie attendant enjoyed the movie with 8.3 points and a standard deviation of 0.5 points. What is the percent of people who gave the movie a rating between 6.8 and 8.8? (Write the number as a percent only without a percent sign.)
Answer:
The percentage that of people who gave the movie a rating between 6.8 and 8.8
P(6.8≤X≤8.8) = 83.9≅ 84 percentage
Step-by-step explanation:
Step(i):-
Mean of the Population = 8.3 points
Standard deviation of the Population = 0.5 points
Let 'X' be the random variable in normal distribution
Let X = 6.8
[tex]Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3[/tex]
Let X = 8.8
[tex]Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1[/tex]
The probability that of people who gave the movie a rating between 6.8 and 8.8
P(6.8≤X≤8.8) = P(-3≤Z≤1)
= P(Z≤1)- P(Z≤-3)
= 0.5 + A(1) - ( 0.5 -A(-3))
= A(1) + A(3) (∵A(-3)=A(3)
= 0.3413 +0.4986 (∵ From Normal table)
= 0.8399
Conclusion:-
The percentage that of people who gave the movie a rating between 6.8 and 8.8
P(6.8≤X≤8.8) = 83.9≅ 84 percentage
Which equation correctly represents the line in slope-intercept form? A. y = -1/4x-6 B.y=1/4x-6 C.y=-4x+6 D.y=4x+6
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (8, - 4) ← 2 points on the line
m = [tex]\frac{-4+6}{8-0}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
The line crosses the y- axis at (0, - 6 ) ⇒ c = - 6
y = [tex]\frac{1}{4}[/tex] x - 6 → B
Jason was surveying students about their use of the new software lab in a school. Which question in the survey is a statistical question? a. How many hours do you spend developing software in the software lab? b. What is the number of learning stations at the software lab? c. Where is the software lab located in the school? d. What are the times the software lab is open? helpppp pls i will give u 20 points
Answer:
I think it's a
Step-by-step explanation:
Because this would ddetermine if the software lab is successfull working.
Point P' is the image of P(3, 5) under a reflection across the y-axis. What are the coordinates of P'?
Answer:
hope this helps :)
Step-by-step explanation:
.......