Answer:
x - 6
Step-by-step explanation:
(4x2 + x - 5) - (5x2 - 1)
According to the order of operations, parenthesis come first so we will solve what is in the parenthesis first.
Then we do the multiplication because it comes before addition and subtraction.
4x2 = 8
Now we have 8 + x - 5
Combine like terms and 8-5=3 so we have 3 + x
Now for the second one.
5x2=10
10-1=9
Subtracting this from the first expression we have:
3+x-9 =
x - 6
Yolanda, Carlos, and Keith have a total of $68 in their wallets. Keith has $8 less than Yolanda. Carlos has 2 times what Keith has. How much do they have in their wallets?
Answer:
Keith: 15, Carlos: 30, Yolanda: 23
Step-by-step explanation:
Let x be the amount of money Keith has. Then Yolanda has x+8 money and Carlos has 2x money. These all add up to 68.
x+(x+8)+2x=68
4x+8=68
4x=60
x=15
x represents how much money Keith has.
So Keith has 15 dollars, Carlos has 30 dollars, and Yolanda has 23 dollars.
Penelope leaves her house. For eight minutes, she drives to the store at a rate of one block per minute. Then, she stops for five minutes to shop in the store. Finally, she drives back to her house at a rate of four blocks every three minutes. Write the equation to model Penelope's trip to the store.
Answer:
T = 8 + 5 + 6
Step-by-step explanation:
Since it took Penelope 8 minutes to drive to the store at a rate of 1 block per minute then that means the store was 8 blocks away. That being the case if she drives back home from the store at 4 blocks every 3 minutes that would mean that she took 6 minutes (4+4 = 8) to get back home. Using this data we can create the following equation model to calculate the total time of the trip.
T = 8 + 5 + 6
Jana has a sandbox that is 4 1/2 feet long, 5 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill the sandbox completely.
Answer:
She needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
Step-by-step explanation:
length = [tex]l[/tex]= [tex]4\frac{1}{2}=\frac{9}{2}=4.5[/tex] feet
width = [tex]w=[/tex] 5 feet
depth = [tex]h=\frac{1}{2}=0.5[/tex] feet
Sandbox is just like a rectangular prism. In order to fill the sandbox completely, we need to determine the volume.
Thus, the formula to find the volume of a rectangular prism can be computed using the formula
[tex]V\:=\:l\:\times \:w\:\times \:h[/tex]
[tex]V=4\frac{1}{2}\times 5\times \frac{1}{2}[/tex]
[tex]=\frac{9}{2}\times \:\:5\times \:\frac{1}{2}[/tex]
[tex]=\frac{45}{2\times \:2}[/tex]
[tex]=11\frac{1}{4}[/tex] ft³
Thus, she needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
b) y = x2 - 10
d) y = x3 - 9
f) y = (x - 2)2
h) y = (2x + 3)
Help geometry select all lines that could be the image of line m after a dilation
Answer:
The lines that could be the image of line m after a dilation are;
C. n
E. p
Step-by-step explanation:
A dilation is the operation performed on a geometric figure, that involves the uniform enlargement or uniform shrinking of the figure from a given center of dilation, such that the shape of the figure, which can be a line segment, a polygon, or a point on the coordinate plane
From the given options, the lines l and consists of rotation of the line m and are therefore not purely dilations of the line m
Dilation Is the process of increasing or decreasing a figure by a scale factor..The line n and p is the image of the line m after the dilation.
Given informationThere are total 5 lines are given in the image shown.
DilationDilation Is the process of increasing or decreasing a figure by a scale factor. When the lines are shorter or longer with the ratio of the original line then it is called the dilation of the line.
The center point of the dilation must be same for the original line and the dilated line.
For the given figure there are total 5 lines are given. Lets check all one by one,
Line l- Line is tilted and not dilated to the line m.Line n- Line n is parallel to the line m and similar to the line m.Line o- Line o is tilled with a large angle compare to the line m.Line p- Line p is shorter than the line p. The line m is decreased with some scale factor with common center point.Thus the line n and p is the image of the line m after the dilation.
Lean more about the dilation here;
https://brainly.com/question/2856466
HELPPPPPPPPPPPPPPPPPPPPPPP T^T PLEASE ANSWER!!!!
Answer:
7 miles per hour.
Step-by-step explanation:
Right now, the relationship in the problem represents 3[tex]\frac{1}{2}[/tex] miles in hours. To find out what the unit rate is (number of miles per mile), we need to multiply both sides of the equation show BeLoW:
3[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
7 miles = 1 hour
Therefore, Doug's average speed in miles per hour is 7 (7 miles per hour).
:3))
Plz help me I need this in less than a hour :<
A blindfolded contestant makes a random selection from a bag
that contains white, red, green, and yellow marbles at a carnival
booth. The bag contains 12 marbles in total. Use the following
clues to determine how many marbles of each color are in
the bag.
Clue 1: P(white) Plyellow) = P(green)
Clue 2: Of 40 players, 10 are expected to select a white marble.
Clue 3: If 2 green marbles are removed from the bag, then P(red) = 1/5
Answer:
D
Step-by-step explanation:
There are 4 colors to choose from, so use numbers 1-4 to represent each color.
Casey wants to buy a gym membership. One gym has a $248 joining fee and costs $27 per month. Another gym has no joining fee and costs $58 per month. In how many months will both gym memberships cost the same? What will that cost be?
Answer:
In 8 months both gym memberships will cost the same and that cost will be $464
Step-by-step explanation:
Linear Models
To compare two gym memberships, we can help Casey to form one model for each gym.
One of them charges a $248 joining fee plus $27 per month. The model for this gym is:
G1 = 27m + 248
Where m is the number of months.
The other gym has no joining fee but charges $58 per month. It's model is:
G2 = 58m
The number of months where both gyms end up charging the same can be found by equating G1 = G2, or equivalently:
27m + 248 = 58m
Subtracting 27m and swapping the equation:
58m - 27m = 248
Simplifying:
31m = 248
Solving:
m = 248/31
m = 8
When m=8, both gyms charge the same:
G1 =27*8 + 248= $464
G2 = 58*8 = $464
Thus, in 8 months both gym memberships will cost the same and that cost will be $464
If AABC = ADEC,
ZB = 2x, ZC = 48°, and ZD = 740
A
D
00
E
x = [?]
Answer:
x=29
Step-by-step explanation:
i believe this is the most recent question to which you requested an answer. Well here you go.
The angle at D equal to the angle at A
If so,the
2x+48+74=180
2x+122°=180°
2x=180°-122°
2x=58°
x=58/2=29
A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales? Enter your answer in the box.
Answer:
$546
Step-by-step explanation:
726 is 1/3. 3/3 is 2178. - 1632= 546.
Please help and give details :)
7x+4y-28=0 is the answer
Which expression is equivalent to (+12)×5+7 ?
A. 12+60
B. 12+12
C. 5+67
D. 5+12
One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help
Answer:
C. Obtuse
Step-by-step explanation:
The scale from an actual triangle to the drawing at the right is 30 to 1 the scale from the same triangle to Georges drawing of the triangle is 10 to 1 is this drawing or Georges drawing larger explain your answer
Answer:
Georges drawing is larger.
Step-by-step explanation:
A scale is a representative fraction that can be used to either increase or decrease the dimensions of a given object. It can either be; reduced or enlarged.
From the given question, both scales are enlarged scale. But,
the scale from the actual triangle to the drawing = 30:1
This implies that every measure of 30 on the drawing is 1 of the actual. So that a measure of 120 on the drawing equals 4 on the actual.
Georges' scale = 10:1
This implies that every 10 measure equal 1 of the actual. So that a measure of 120 on the drawing is 12 on the actual.
Therefore, Georges drawing is larger.
11
Which of these represents point-slope form of a linear equation?
y = mx + b
y - y1 = m(x - 1)
Ax + By = 0
y=kx
Answer:
second one..........
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
What is equation of a line?The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The general equation of a straight line is given as:
y = mx + c,
where m = slope of the line and c = y-intercept.
We have,
y = mx + b _____(1)
y - y1 = m(x - 1) _____(2)
Ax + By = 0 _____(3)
y=kx ______(4)
From all the equations given above, we see that,
Equation (1) is in the form of a point-slope.
Thus,
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
Learn more about equation of a line here:
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how do you solve 2 - 2n = 3n + 17
Final Answer: [tex]n = -3[/tex]
Steps/Reasons/Explanation:
Question: How do you solve [tex]2 - 2n = 3n + 17[/tex]?
Step 1: Subtract [tex]2[/tex] from both sides.
[tex]-2n = 3n + 17 - 2[/tex]
Step 2: Simplify [tex]3n + 17 - 2[/tex] to [tex]3n + 15[/tex].
[tex]-2n = 3n + 15[/tex]
Step 3: Subtract [tex]3n[/tex] from both sides.
[tex]-2n - 3n = 15[/tex]
Step 4: Simplify [tex]-2n - 3n[/tex] to [tex]-5n[/tex].
[tex]-5n = 15[/tex]
Step 5: Divide both sides by [tex]-5[/tex].
[tex]n = -\frac{15}{5}[/tex]
Step 6: Simplify [tex]-\frac{15}{5}[/tex] to [tex]-3[/tex].
[tex]n = -3[/tex]
~I hope I helped you :)~
Determine the scale factor for A ABC to A A'B'C'.
C
С
8 cm
4 cm
O A. 4
B. 8
C. 2
OD.
2
Answer:C 2
Step-by-step explanation:
Lillian and Jacob work at a dry cleaners ironing shirts. Lillian can iron 25 shirts per hour, and Jacob can iron 20 shirts per hour. Lillian and Jacob worked a combined 13 hours and ironed 295 shirts. Determine the number of hours Lillian worked and the number of hours Jacob worked.
Answer:
x=7 y=6
Step-by-step explanation:
x = 7 hous worked by Lillian
y = 6 hours worked by Jacob
Step-by-step explanation:
Let call " x " and " y " numbers of hours Lillian and Jacob worked respectively, then according to problem statement we have:
They both combined a total of 13 hours, therefore
x + y = 13 ⇒ y = 13 - x
And the number of ironed shirts was 295 then we have
25*x + 20*y = 295
We need to solve that system of equations for x and y then
25*x + 20 * ( 13 - x ) = 295
25*x + 260 - 20*x = 295
5*x = 295 - 260
5*x = 35
x = 35/5
x = 7
And y = 13 - x ⇒ y = 13 - 7
y = 6
Which point is a solution to this system of inequalities?
y ≤1/2x-3
y+2x greater than 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D)(4,1)
The point is a solution to this system of inequalities y ≤1/2x-3 and y+2x greater than 6 are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of imbalances y ≤ 1/2x - 3 and y + 2x > 6, we want to test each answer decision to check whether it fulfills the two disparities.
A) (7,- 8):
y ≤ 1/2(7) - 3 = 0.5
y + 2(7) > 6
This point doesn't fulfill the primary imbalance, so it's anything but an answer.
B) (2,- 3):
y ≤ 1/2(2) - 3 = - 2
y + 2(2) > 6
This point fulfills the two imbalances, so it is an answer.
C) (5,- 2):
y ≤ 1/2(5) - 3 = - 0.5
y + 2(5) > 6
This point doesn't fulfill the main imbalance, so it's anything but an answer.
D) (4,1):
y ≤ 1/2(4) - 3 = - 1
y + 2(4) > 6
This point fulfills the two imbalances, so it is an answer.
Accordingly, the answers for the arrangement of imbalances are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of disparities y ≤ 1/2x - 3 and y + 2x > 6, we really want to test each answer decision to check whether it fulfills the two imbalances. Just response decisions B) (2,- 3) and D) (4,1) fulfill the two imbalances, making them the arrangements.
To learn more about inequalities, refer:
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ana runs a merchandiser store. she wants to buy 500 notebooks for her store. she will get 300 notebooks for $2500. the next 200 notebooks are for $4 per notebook. if the total cost for notebook is $3300 and 12%discount is given then the total cost for notebooks is
Answer:
5000
Step-by-step explanation:
i worked the problem out and got 100%
What is the solution to the inequality?
1/4+x <5/6
A. x< 7/12
B. x> 7/12
C. x< 1 1/12
D.x > 1 1/12
Answer:
A x<7/12 hope this helps
A weather balloon is dropping at a rate of 4/3 miles per hour from an
initial height of 2 miles. If the balloon's height were graphed as a functio
of time, what would be the x-intercept?
I need help please!!
Answer:
The domain is x ≥ − 2 and the range is AllRealNumbers
Step-by-step explanation:
Alrighty, first of all, the domain is the number or amount of x coordinates in the function. The range is the number or amount of y coordinates in the function. As we can see, the x coordinates stretch out towards the right starting from -2. We can include -2, so the domain would be x ≥ − 2. The range would be AllRealNumbers because it streches out infinitely both upwards and downwards.
Please help me!!! Pick the correct answer choices!!!
Answer:
1.C
2.A
Step-by-step explanation:
hope this helps. {ps please give brainliest :)}
I’ll mark you brainlist I’ll mark you brainlist
Answer:
-2
Step-by-step explanation:
:)
if the circumference of the greatest circle of a sphere is
[tex]\pi \: cm \: find \: its \: volume[/tex]
Answer:
hlo buddy
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 πr³.
There are 35 kids in our class.
20% like cats. How many kids
in our class like cats?
Please help
I believe it is 7 kids who like cats.
I NEED HELP ASAP PLEASE HURRY
Marc wants to buy a bestselling book and a DVD of the movie based on the book. He has $30 to spend. Find the estimated total cost of the two items by rounding their prices to the nearest dollar. Will Marc be able to purchase both items with the money he has?
Prices, including taxes: Book: $10.58 and DVD: $19.50
The estimated total to the nearest dollar is $29, so he can afford both items.
The estimated total to the nearest dollar is $31, so he can afford both items.
The estimated total to the nearest dollar is $29, so he cannot afford both items.
The estimated total to the nearest dollar is $31, so he cannot afford both items.
Answer:
The estimated total to the nearest dollar is $31, so he cannot afford both items.
Step-by-step explanation:
10.58 rounded is 11
19.50 rounded is 20
11+20=31
Answer:
I think it would be last one. Based on the idea that 10.58 would round up to 11.00, and the DVD would add up to 20.oo
that would equal 31.00, and he only has 30.00 to spend.
So I would say D.
Step-by-step explanation:
Check all equations that are equivalent. Q = 180(23 - 2) + 1 180 180+ Q + 300 180
A, C, and D are are all equal to a = 180n − 360, while answer B is equal to a = 180n − 180. Therefore, A, C, and D are all equivalent to each other.