Answer:
The value of x in this equation is 3/2.
Step-by-step explanation:
First, let's take the original equation:
2 + 5x - 2x = 6x + 3x - 7
In order to solve for x, we must isolate the variable x on one side of the equation, and the rest of the numbers on the other side of the equation. So we take: 2 + 5x - 2x = 6x + 3x - 7 and use some of the properties of equality:
We start with 2 + 5x - 2x = 6x + 3x - 7 and see that we can minus 2 on both sides of the equation as highlighted below:
2 + 5x - 2x = 6x + 3x - 7
2 + 5x - 2x - 2 = 6x + 3x - 7 - 2
This simplifies the equation to 5x - 2x = 6x + 3x - 9.
Remember, we can arrange the equation like this along as we do on one side what we do on the other. Now, we have 5x - 2x = 6x + 3x - 9, and see that the rest of 6x and 3x needs to go on the left side of the equation. In order to do this, we can minus 6x from both sides of the equation as shown below:
5x - 2x = 6x + 3x - 9
5x - 2x - 6x = 6x + 3x - 9 - 6x
which then simplifies to 5x - 2x - 6x = 3x - 9. Now we can do the same thing by minus 3x from both sides of the equation.
5x - 2x - 6x = 3x - 9
5x - 2x - 6x - 3x = 3x - 9 - 3x
5x - 2x - 6x - 3x = -9
Now, we must simplify the left side of this equation by adding together the variable numbers 5x - 2x - 6x - 3x. This is shown below:
5x - 2x - 6x - 3x = -9
3x - 6x - 3x = -9
-6x = -9
Lastly, we can divide the number -9 by -6 to get the answer of what 1 x equals. This means -9/-6 = 3/2.
X is indeed equal to 3/2
A square pyramid is shown. What is the surface area of the pyramid? Enter your answer in the box.
Height = 6cm
Length = 2cm
Width = 2cm
Answer:I believe the answer should be 120 square cm (:
Step-by-step explanation:
Answer:
Hi, I belive your answer is 24.
Sorry if it is incorrect.
here is how I got my answer;
6 x 2 = 12 x 2 = 24.
There you go. Have a great day!
Step-by-step explanation:
Complete the function table for the function: y=4x+4
х
у
-6
-1
2
8
Answer:
-6,-1
Step-by-step explanation:
y=4x+4 then simplify and came up with -6,-1.
The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E D is 7.5 and side D F is 25. Angle F is 30 degrees and angle E is 90 degrees. Which similarity statements describe the relationship between the two triangles? Check all that apply.
Answer:
[tex]\triangle ABC {\displaystyle \sim } \triangle DE\ F[/tex]
[tex]\triangle CBA {\displaystyle \sim } \triangle FED[/tex]
[tex]\triangle BAC {\displaystyle \sim } \triangle EDF[/tex]
Step-by-step explanation:
Given
[tex]\triangle ABC {\displaystyle \sim } \triangle DE\ F[/tex]
[tex]AC = 10[/tex]
[tex]AB = 5[/tex]
[tex]\angle C = 30^\circ[/tex]
[tex]ED = 7.5[/tex]
[tex]DF = 25[/tex]
[tex]\angle F =30[/tex]
[tex]\angle E =90[/tex]
Required
Which of the options is/are true:
[tex]\triangle CBA {\displaystyle \sim } \triangle FED[/tex] [tex]\triangle CBA {\displaystyle \sim } \triangle FDE[/tex] [tex]\triangle BAC {\displaystyle \sim } \triangle EFD[/tex]
[tex]\triangle BAC {\displaystyle \sim } \triangle EDF[/tex] [tex]\triangle ABC {\displaystyle \sim } \triangle DE\ F[/tex] [tex]\triangle ABC {\displaystyle \sim } \triangle DFE[/tex]
The given triangles, implies that:
[tex]A {\displaystyle \sim } \ D[/tex]
[tex]B {\displaystyle \sim } \ E[/tex]
[tex]C {\displaystyle \sim } \ F[/tex]
By taking each sides of both triangle, one after the other; the possible similar triangles are:
[tex]\triangle ABC {\displaystyle \sim } \triangle DE\ F[/tex]
[tex]\triangle CBA {\displaystyle \sim } \triangle FED[/tex]
[tex]\triangle BAC {\displaystyle \sim } \triangle EDF[/tex]
Answer:
a d and e on edg
Step-by-step explanation:
Hello can someone help :)
What is the smallest possible probability in any experiment?
Answer:
your asking us 'in any experiment' and im
kinda confused. do u want my answer to apply to the image below? if so it would be 1/4
if not then let me know and elaborate
pls help! giving thanks
Answer:
I would say C but also not sure
i need help guys can y’all please help me figure it out
Answer:
25% or 1/4
Step-by-step explanation:
First add up all the numbers to get the total number of rentals (according to chart) --> 6+36+4+2 = 48 rentals
The question is asking for the probability a random person will NOT rent a comedy which will be: 48-36 = 12 of those people here
All you have to do is 12/48 (AKA Not comedy/ Total) =
Answer: 1/4 or 25 percent
The dot plot below represents how long it takes students in a 7th grade math class to
get to school every morning.
SOMEONE HELP PLZ GIVING OUT BRAINLEST
Answer:
40
Step-by-step explanation:
All you have to do is subtract the biggest number from the smallest in order to get your answer.
45 - 5 = 40. Hence, the answer is 40
Hope this helps! :)
The number of students in the class should be considered as the 40.
Calculation of the number of students in the class;= Largest commute time - smallest commute time
= 45 - 5
= 40
Here we basically deduct the smallest commute time from the largest commute time so that the no of student in the class should come.
Learn more about class here: https://brainly.com/question/17217914
Please help me please!
Please help me out :)
Answer:
Q= (5,4)
Step-by-step explanation:
The x value went up by 4 units and the y value up by 6 units from the first point to the midpoint. Since the midpoint is equal distance from both points, we know it will go up by the same amounts for Q.
so 1+4= 5
-2+6= 4
hope this helps chu <3
If the corner that the Hebron Bank is located on measures , what is the measure of the corner where the Pepsi Plant is located? What word describes this relationship?
Please help me!!
1. Hebron bank). 2.hospital 3.pizza city 4. Jimmy Girll
20.
The size of a packet of pasta is increased by one-quarter.
The new size is later reduced by one-quarter.
is the new packet smaller, the same size or larger than the original?
Explain how you worked out your answer.
Answer: Smaller
Step-by-step explanation:
Multiplying a number by 1.25 increases it by a quarter
Multiplying a number by 0.75 decreases it by a quarter
1.25 / 0.75 = 0.9375
Thus, increasing something by a quarter then decreasing it by a quarter, you are effectively multiplying that number by 0.9375, which is less than 1, so the number will decrease.
what is the volume of this rectangular prism
Answer: 56
Step-by-step explanation: 7 * 2 * 4 = 56
Answer:
V = 56
Step-by-step explanation:
Rectangle prism Volume:
V = whl
Given:
w = 4
h = 2
l = 7
Work:
V = whl
V = (4)(2)(7)
V = 56
please help me with homework.
Answer:
12
Step-by-step explanation:
4x3=12
In order to get the volume you multiply the the height by the base area
Answer:the volume of a triangular pyramid is one-third of the product of the base area and the pyramid's height
4x3 divided by 1/3=
36
Step-by-step explanation:please tell me if this is wrong and if it is I will delete the answer right away
help plz i dont know what to do
Answer:
30
Step-by-step explanation:
find the measure of the missing angle :D
Answer:
A = 48
Step-by-step explanation:
Hello!
42 + 90 + a = 180
180 - 42 - 90 = 48
So 48 is A
Answer:
48
Step-by-step explanation:
42 + 90 + a = 180
132 + a = 180
a = 180 - 132
a = 48
the degree of a line is 180 so you would just have to the degrees that you already know in order to find the missing ones
Which expression is equivalent to 4sqrt x^10
Answer:
[tex]4x^{5}[/tex]
Step-by-step explanation:
It could also be [tex]x^{2}[/tex][tex]\sqrt{x}[/tex] depending on how the problem is actually set up.
Ariel made cupcakes to sell. 2/3 of them were chocolate chip,25% of the reminder was strawberry and the rest were 90 vanilla cupcakes. a) How many cupcakes were chocolate chip ? b) How many cupcakes were strawberry?
Answer:
Let x be the total number of cupcakes.
Chocolate chips =
[tex] \frac{2}{3} x[/tex]
Strawberry =
[tex] \frac{1}{4} \times \frac{1}{3} \\ = \frac{1}{12} x[/tex]
Vanilla =
[tex]x - \frac{2}{3} x - \frac{1}{12}x \\ = \frac{1}{3} x - \frac{1}{12} x \\ = \frac{1}{4} x[/tex]
given
[tex] \frac{1}{4} x = 90[/tex]
[tex]x = 90 \div \frac{1}{4} \\ = 90 \times 4 \\ = 360[/tex]
a)Number of Chocolate chip Cupcakes =
[tex] \frac{2}{3} \times 360 \\ = 240[/tex]
b)Number of Strawberry cupcakes =
[tex] \frac{1}{12} \times 360 \\ = 30[/tex]
Find the lateral area of this cone.
Step-by-step explanation:
lateral surface area here = πrl
r = 10
l = √h²+r²= √ 24²+ 10² = 26
lateral surface area = 10 × 26 × π
= 260π in²
hope this will be helpful to you .
plz mark my answer as brainlist if you find it useful.
Answer:
The lateral area of cone is 260π in².
Step-by-step explanation:
Given : [tex]\small\blue\bull[/tex] Height of cone = 24 in.[tex]\small\blue\bull[/tex] Radius of cone = 10 in.[tex]\begin{gathered}\end{gathered}[/tex]
To Find : [tex]\small\blue\bull[/tex] Slant height of cone [tex]\small\blue\bull[/tex] Lateral surface area of cone[tex]\begin{gathered}\end{gathered}[/tex]
Using Formulas :[tex]\star{\underline{\boxed{\sf{\purple{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}}}[/tex]
[tex]\pink\star[/tex] l = slant height [tex]\pink\star[/tex] r = radius [tex]\pink\star[/tex] h = height[tex]\star{\underline{\boxed{\sf{\purple{La_{(Cone)}= \pi r\ell}}}}}[/tex]
[tex]\pink\star[/tex] La = Lateral area[tex]\pink\star[/tex] π = 3.14 [tex]\pink\star[/tex] r = radius [tex]\pink\star[/tex] l = slant height[tex]\begin{gathered}\end{gathered}[/tex]
Solution :Finding the slant height of cone by substituting the values in the formula :
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10)}^{2} + {(24)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10 \times 10)} + {(24 \times 24)}}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{(100)+(576)}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{100 + 576}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{676}}}}\\\\\quad{\longrightarrow{\sf{\ell = 26 \: in}}}\\\\\quad\star\underline{\boxed{\sf{\pink{\ell = 26 \: in}}}} \end{gathered}[/tex]
Hence, the slant height of cone is 26 in.
[tex]\begin{gathered}\end{gathered}[/tex]
Now, finding the lateral area of cone by substituting the values in the formula :
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{La_{(Cone)} = \pi r \ell}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 10 \times 26}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 260}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = 260\pi\: {in}^{2}}}}\\\\ \qquad{\star{\underline{\boxed{\sf{\pink{La_{(Cone)} = 260\pi \: {in}^{2}}}}}}}\end{gathered}[/tex]
Therefore, the lateral area of cone is 260π in².
[tex]\rule{300}{2.5}[/tex]
The scatter plot shows the number of new magazine subscriptions compared with the percentage of advertisements in the magazines
A. The number of new subscribers to the new magazines will increase
B. The number of new subscribers to the magazines will decrease
C. The advertising revenue will increase the profit of the magazine
D. There is no association in the data to make a prediction
Answer:
The answer is B!
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
The length of the base of an isosceles triangle is x. The length of a leg is 4x - 4. The perimeter of the triangle is 118. Find x.
Answer:
x = 14
Step-by-step explanation:
4x - 4 + 4x - 4 + x = 118
9x - 8 = 118
9x = 126
x = 14
A walker on a trail travels along the path described by the parametric equations
x1 (t) = 80 - 0.8 t
y1 (t) = 4t
A cub leaves another area of the trail to the west and travels along the path described by the parametric equations
x2 (t) = 0.2t
y2 (t) = 40 + 0.6 t
a. do the pathways of the walker and cub intersect?
b. do the walker and cub collide?
Answer:
no,the pathway of the walker and cub don't intersect
Bello you have a great day
Answer:
you too :)
Step-by-step explanation:
can someone ply help meeeeeeeeee
Answer:
1)54° 2)5π 3)a=3π 4)b 5)(x – 11)^2+ (y – 6)^2=36 6)center=(7,-6) radius=5 8)b
Step-by-step explanation:
1- π radians = 180°
so 3π/10=(3*180)/10=54°
2- in order to find arc length we need to find the ratio of the angles then make that equal to the ratio of the arc length to the perimeter:
x=arc length of HN
150/360=x/2πr
5/12=x/2*6π
5/12=x/12π
12*5π=12x
x=5π
3- in order to find the area of the shaded region we have to take the ratio of the angles and make that equal to the ratio of the area of the shaded region to the whole area:
a=area of the shaded region
30/360=a/πr^2
1/12=a/36π
36π=12a
a=3π
4- a slice of a 16 inch pizza has an area of 64π/8=8π
two slices of a 10 inch pizza has an area of 2*(25π/8)= 6.25π
therefore we would be more satisfied with a slice of an 16 inch pizza, which is b.
5- the formula for the equation of a circle is: (x – h)^2+ (y – k)2 = r2
h=x-coordinate of the center point k= y-coordinate of the center r=radius
in this question the center is (11,6) so h=11, k=6 and the radius is 6 so r=6
we plug in
(x – 11)^2+ (y – 6)^2=36
6- h=7 k=-6 so the center is (7,-6)
radius=5
8- center=(1,3) and radius=2
so the graph that corresponds to these values is b
pleaseeeeeeeeeeeeeee help
Answer:
total surface area = 288 m2
lateral surface area = 192 m2
top surface area = 48 m2
bottom surface area = 48 m2
Step-by-step explanation:
What is the area of this figure?
41 in
5 in
16 in
in
18 in
25 in
square inches
Answer:
balbal dj ko rin po alam sorry81
Solve 5(7)5x = 60. Round your answer to the nearest thousandth.
X
5(7)5x=60
35*5x=60
175x=60
x=60/175
x= 0.342
Enjoy and your answer is 0.342
watatatatatta
0 pts haha
Solve for x and find the measure of each exterior angle.
Answer it ASAP! plss
Step-by-step explanation:
x = 15 as sum of exterior angles is 360⁰
pur value of x and get each answer
I am not solving whole as it will result in lack of your practice, how will you combat tests or exams?
How much food can this container hold? Express your answer in terms of pie
Answer: 27
Step-by-step explanation:
F(x)=2x-6 find f(2) please help
Answer:
Step-by-step explanation:
Putting value of x = 2 in the equation
F(2) = 2(2) - 6
= 4 - 6
= - 2
the worthington family is applying for a loan to purchase a new home.In order to qualify they must have a net worth greater than 100,000. based on the info given what is the worthing family's net worth will they qualify for the loan
Answer:
I guess please finish the question or this is the numbers I had.
Step-by-step explanation:
Mr. Worthington is a dentist, so he has $85,400 in student loans to pay off. Mrs. Worthington earns $42,500 per year at her job. The Worthington family has a savings account with a balance of $18,800.They own two vehicles that are worth a combined total of $64,600.Mrs. Worthington owns an antique necklace valued at $6,200.The Worthingtons have been saving for their children's college fund. currently has a balance of $24,700.Worthington family would not be able to apply for the loan to purchase a new home because their net worth is less than $100,000
How to determine the family's networth?The given parameters are:
Student loan = $85,400
Earnings = $42,500 per year
Savings account balance = $18,800.
Vehicles worth = $64,600.
Necklace value = $6,200.
College fund balance = $24,700
The net worth is the sum of the family's earnings, account balance minus the loans.
So, we have:
Networth = $42,500 + $18,800 + $64,600 + $6,200 + $24,700 - $85,400
Evaluate the sum and the difference
Networth = $71,400
The above means that the Worthington family would not be able to apply for the loan
Read more about networth and income at:
https://brainly.com/question/13793671