Answer:
[tex]x = \frac{ - 3}{2} \: or \: \frac{1}{3} [/tex]
Step-by-step explanation:
[tex]7 {x}^{2} + 10x - 3 = {x}^{2} + 3x[/tex]
[tex] = > 7 {x}^{2} - {x}^{2} + 10x - 3x -3 = 0[/tex]
[tex] = > 6 {x}^{2} + 7x - 3 = 0[/tex]
[tex] = > 6 {x}^{2} + 9x - 2x - 3 = 0[/tex]
[tex] = > 3x(2x + 3) - 1(2x + 3) = 0[/tex]
[tex] = > (2x + 3)(3x - 1) = 0[/tex]
Here x will have 2 values.
1) [tex]2x + 3 = 0[/tex]
[tex] = > 2x = - 3[/tex]
[tex] = > x = \frac{ - 3}{2} [/tex]
2)[tex]3x - 1 = 0[/tex]
[tex] = > 3x = 1[/tex]
[tex] = > x = \frac{1}{3} [/tex]
somebody help.. im so lost!!
At a park, the cost to rent a bike has an initial fee of $15.00 plus $7.50 per hour. Which equation models the relationship between total cost, y, and the number of hours, x, that the bike is rented?
Answer:
y = 15 + 7.50x
Step-by-step explanation:
It is given that, At a park, the cost to rent a bike has an initial fee of $15.00 plus $7.50 per hour.
Let the number of hours is x and the total cost is y.
When the bike is rented for x hours, its cost will be 7.50x.
Total cost (y) in terms of number of hours is given by :
y = 15 + 7.50x
Hence, this is the required equation.
Yesterday, Grace drove 44 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
35.6 miles per gallon.
I'm not sure but good luck :)
Step-by-step explanation:
Answer:
Just realized I gave you the wrong answer. Here's the right one below:
Step-by-step explanation:
(44 1/2)/(1 1/4)
(89/2)/(5/4)
(89/2)(4/5)
178/5
35 3/5 mpg
Sorry about that! :)
Read the proof.
A 2-column table with 3 rows. Column 1 has entries 1, 2, 3. Column 2 is labeled Step with entries sine (2 x) = sine (x + x), question mark, sine (2 x) = 2 sine (x) cosine (x).
What is step 2?
A. sin(2x) = cos(x)cos(x) – sin(x)sin(x)
B. sin(2x) = sin(x)cos(x) – sin(x)cos(x)
C. sin(2x) = cos(x)cos(x) + sin(x)sin(x)
D. sin(2x) = sin(x)cos(x) + sin(x)cos(x)
Answer:
D
Step-by-step explanation:
The answer is D on Edge 2020
The missing step in the table is sin(2x) = sin(x)cos(x) + sin(x)cos(x), the correct option is D.
What is a Trigonometric Ratios?Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.
The step 1 in the table is
sin (2x) = sin (x+x)
The step 3 is
sin (2x) = 2 sine (x) cosine (x)
The step 2 is obtained by the trigonometric identity
sin (x+y) = sinx cosy + cosx siny
So,
sin (x+x) = sinxcosx+sinx cosx
sin (2x) = sin(x)cos(x) + sin(x)cos(x)
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2(6.75)+1.03+3S=22 therefore 3S = 14.53 divide by 3 so S equals 4.84 per pair of socks
Answer:
each pair of socks cost $2.49
Step-by-step explanation:
Eric spent $22.00, including sales tax on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax was $1.03. How much did each pair of socks cost?
Solution:
The total money spent was $22.00. 2 jerseys costing $6.75 each was bought, the total tax was $1.03. 3 pairs of socks was bought, Let S represent the cost for each pair of socks. The total money spent is the sum of the money spent on jersey, socks and tax. Hence:
2(6.75) + 3S + 1.03 = 22
13.5 + 3S + 1.03 = 22
14.53 + 3S = 22
3S = 22 - 14.53
3S = 7.47
S = 2.49
Hence each pair of socks cost $2.49
Yay so, Which one of these answers is part of pi?
5.6
3.14
2.89
7.77
None of these
(I know the Swansea but y’all fill in the blank to this phot lol anything goes its not meant to be dirty answers tho) lol
Answer:
3.14
Step-by-step explanation:
Because pi equals to 3.14 and more numbers
A boat is carried with the current at an angle of 43 degrees to the shore. if the river is approx. 15 meters wide, how far does the boat travel before reaching the opposite side of the shore
Answer:
22 m
Step-by-step explanation:
The computation of the how much far does the boat travel is as follows:
sin 43 degrees = 15 ÷ d
d = 15 ÷sin 43 degrees
= 15 ÷ 0.6820
= 21.99
= 22 m
Hence, the how much far does the boat travel is 22 m
We simply applied the above formula so that the correct value could come
The same is to be considered
*BRAINIEST & 25 POINTS*
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
m<R = 65
Step-by-step explanation:
m<R + m<S + m<T = 180° (sum of interior angles in a triangle)
(5x - 11) + (3x - 3) + (3x + 18) = 180°
Solve for x.
5x - 11 + 3x - 3 + 3x + 18 = 180
Add like terms
11x + 4 = 180
11x = 180 - 4
11x = 176
x = 16
m<R = (5x - 11)
Plug in the value of x
m<R = 5(13) - 11
m<R = 65
PLS HELP AGAIN<3333nxjfjfjfittirj
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Hi, i need help please.
Answer:
The answer is A.8x+13
Step-by-step explanation:
A parallelogram has sides 8 ft and 14 ft the height corresponding to the 14 ft base is 4 ft what is the height corresponding to the 8 ft base
Given :
A parallelogram has sides 8 ft and 14 ft the height corresponding to the 14 ft base is 4 ft.
To Find :
The height corresponding to the 8 ft base.
Solution :
Since, both parallelogram are similar. So, ratio of the sides of parallelogram is similar in both the cases.
[tex]\dfrac{h_1}{h_2}=\dfrac{b_1}{b_2}\\\\\dfrac{8}{14}=\dfrac{h_1}{4}\\\\h_1 = \dfrac{8\times 4}{14}\\\\h_1 = 2.285 \ ft[/tex]
Therefore, the height corresponding to the 8 ft base parallelogram is 2.285 ft.
-1/5÷2/0 plzz i need this
[tex]-\frac{1}{5}[/tex] ÷ 20 = - 100
or -0.01
there are two answers you can come up with choose wisely
Is x = -3 a solution to the equation 3x - 5 = 4 + 2x ?
Answer:
No
Step-by-step explanation:
put like terms on either side
3x-5 = 4 + 2x
subtract both sides by 2x
x - 5 = 4
add both sides by 5
x=9
so no x=-3 is NOT a solution.
please give thanks :)
and brainliest :D
In one week the price of gasoline rose from $1.71 to $2.15 at BJs. What is the percent of change?
Answer:
25.731% increase
Step-by-step explanation:
(V2−V1)|V1|×100
=(2.15−1.71)|1.71|×100
=0.441.71×100
=0.25731×100
=25.731%change
=25.731%increase
Answer:
.44=44%
Step-by-step explanation:
just subtract both numbers and you get how much they added but then again it depends so my answer my not be right but give it a try if you like
A truck and a car go at the same time against each other from two cities, which are at a distance of 400 km from each other. If the vehicles are moving at a constant speed of 68 km / h and 82 km / h, respectively, find after how long they have met?
Answer: after about 96 Minutes
Step-by-step explanation:
josh sketched on a paper tree one-fifth of a foot tall. Then he drew the same tree on the wall two-thirds of a foot tall to decorate his room. how much larger than the sketch is the drawing.
Answer:
Step-by-step explanation:
Subtraction
Equation
2/3 - 1/5
Solution
20/30 - 6/30
14/30
7/15
The tree on the wall is 7/15 of a foot larger than the tree on paper.
Division
2/3 // 1/5 = 2/3 * 5/1 = 10/3 = 3 1/3
The tree on the wall is 3 1/3 times the tree in the drawing.
can u please answer the question
Answer: 6 pieces
=======================================================
Explanation:
3/4 = 6/8 after multiplying both parts by 2
We have a ribbon that is 6/8 of an inch long. We want to cut it into 1/8 inch pieces. We can see there will be exactly 6 pieces
Note how 6*(1/8) = 6/8
Or we can think of it as "we have a ribbon that is 6 units long and we want to cut it into pieces that are 1 unit each, so we'll have 6 pieces total". Replace "unit" with "1/8 inch" and you'll have the same idea.
Answer:
6 pieces
Step-by-step explanation:
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 6/8 = 3/4
Renee spent 1/8 of the day landscaping around the house. She spent half of the time pulling weeds. What fraction of the day did rehne spend pulling weeds?
Answer:
The fraction of the day Rehee spent pulling weeds = 1/16
Step-by-step explanation:
Let us take the fraction representing a whole day to be a whole number - 1
Renee spent 1/8 of the day landscaping around the house.
This means she spent 1/8 X 1 landscaping around the house = 1/8
She spent half of the time pulling weeds.
This means she spent 1/2 of 1/8 of 1 landscaping around the house = 1/16
1/2 X 1/8 X 1 = 1/16
The fraction of the day Rehee spent pulling weeds = 1/16
Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31. If each bottle costs the same amount, how much is each bottle of juice?
Answer:
cost of each bottle of juice is $0.77
Step-by-step explanation:
Let the cost of 1 bottle be $x
multiplying both side by 3
then cost of 3 bottle will be 3*$x = $3x
given that
total cost of 3 bottles = $2.31
thus
3x = 2.31
dividing both side by 3
x = 2.31/3 = 0.77
Thus, cost of each bottle of juice is $0.77
Answer:
$0.77 for each bottle of juice
Step-by-step explanation:
Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31.
So,
2.31/3 = 0.77
Thus, $0.77 for each bottle of juice
-TheUnknownScientist
When is Cheryl's birthday?
Answer:
july 16
Step-by-step explanation:
A building has 17 floors of offices above ground and 5 floors below ground. Kaylea parks on the 4th floor below ground and has an office on the 15th floor. The ground floor is zero. How many floors must she go up from her car to her office?
Answer:
19 floors
Step-by-step explanation:
Let us consider the ground floor as 0 and the floors above it as positive and the floors below the ground floor as negative.
So, the floor in which she parked is -4 and the floor where her office is at +15.
The number of floors she has to climb is the absolute value of the difference of the two floors.
The number of floors she has to go up is [tex]|-4-15|=19[/tex].
Given g(x)=-3x+1 find g(2) please i will give brainlest
Answer:
-6+1
-5 :)
Step-by-step explanation:
Evaluate the expression shown below and write your answer as a fraction in simplest form.
11/2 + 5/4
An ice cream company sells their product in a cylindrical container that is 16 cm tall and has a diameter of
14 cm. They are considering switching to a new container that is a rectangular prism whose base is
20 x 13 cm
The company wants the new container to have the same volume as the old container,
How tall should the new container be?
Round to the nearest tenth.
cm
Answer:
9.5
Step-by-step explanation:
The height of the rectangular container will be 9.47 cm.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or Cuboid. For cylinders, we need the radius and the height of the cylinder.
Given that an ice cream company sells their product in a cylindrical container that is 16 cm tall and has a diameter of 14 cm. They are considering switching to a new container that is a rectangular prism whose base is 20 x 13 cm.
The height of the rectangular prism will be calculated as:-
( π / 4 ) X D² X H = L x W x H
( π / 4 ) X 14² X 16 =20 X 13 x H
H = [( π / 4 ) X 14² X 16] / ( 20 x 13)
H = 9.47 cm
Therefore, the height of the rectangular container will be 9.47 cm.
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The Stock Market Nadia is a stockbroker. She earns 14% commission each week. Last week, she
sold $4,500 worth of stocks. How much did she make last week in commission? If she averages that
same amount each week, how much did she make in commission in 2011?
Answer:
a). Nadia made a total of $825 last week in commission sales
b). The total amount Nadia in commission in 2011=$42,900
Step-by-step explanation: Total amount (2011)=Average weekly commission × number of weeks in 2011 where; Average weekly commission=$825 number of weeks in 2011=52 replacing; Total amount (2011)=(825×52)=42,900 . The total amount Nadia in commission in 2011=$42,900.
EXPLAIN HOW TO PARTITION SHAPES (sorry for caps lock)
Answer:
Partition shapes is to create equal shares by partitioning one whole area into small same-size areas.
Ismael is trying to figure out which rock-climbing gym has the best rates. The different rates for two different gyms are below.
Answer:
Boulders:
1 - 10
2 - 20
3 - 30
4 - 40
5 - 50
Manhattan Rocks:
1 - 15
2 - 20
3 - 25
4 - 30
5 - 35
B. 10 hours, Ismael should go to Manhattan Rocks because 35 times 2 is 70 and 50 times 2 is 100. Manhattan Rocks would only be 70 compared to 100.
C. is for you to decide
Step-by-step explanation:
20 points-
I need help
Answer:
11 is 150
12 is 168 lectures and 70 professers
Step-by-step explanation:
Margo can make 75 smoothies in 1.5 hours. How
many smoothies can Margo make in one hour?
Answer: 50 smoothies in one hour
Step-by-step explanation:
1.5 / 3 = 0.5
75 / 3 = 25.
0.5 x 2 = 1.
25 x 2 = 50.
Margo can make 50 smoothies in One hour.
Hope this helps!
Answer:
Margo can make 50 smoothies in one hour.
Step-by-step explanation:
Let's look at the hours first. Margo can make 75 smoothies in 1.5 hours. 1.5 divided by 3 is 0.5. Then, 0.5 x 2 is 1. Now that we have the number of hours we need (1 hour), we have to do the exact same thing to the amount of smoothies.
75 divided by 3 is 25. Then, 25 x 2 is 50 smoothies.
So, Margo can make 50 smoothies in one hour.
Hope this helped!
What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundredth if necessary) LaTeX: \begin{matrix}y=\frac{3}{2}x+\frac{5}{4}\\-2x+8y=-25\end{matrix}
Answer:
(3/2, 7/2)
Step-by-step explanation:
Given the system of equations;
y = 3x/2 + 5/4..... 1
-2x + 8y = 25 .... 2
Substitute equation 1 into 2;
From 2;
-2x + 8y = 25
-2x + 8(3x/2 + 5/4) = 25
-2x + 12x + 10 = 25
10x = 25 - 10
10x = 15
x = 15/10
x = 3/2
Substitute x = 3/2 into equation 1
From 1;
y = 3x/2 + 5/4
y = 3/2(3/2) + 5/4
y = 9/4 + 5/4
y = 14/4
y = 7/2
Hence the solution to the equation is (x, y) = (3/2, 7/2)
