Answer:
x=5/7
Step-by-step explanation:
Distribute
3x-6+7x=3x-1
Combine Like Terms
10x-6=3x-1
7x-6=-1
7x=5
x=5/7
Answer:
[tex]x=5/7[/tex]
Step-by-step explanation:
[tex]3(x-2)+7x=1/2(6x-2)[/tex]
Use algebraic distribution.
[tex]3x-6+7x=3x-1[/tex]
Add like terms.
[tex]10x-6=3x-1[/tex]
Add [tex]-3x[/tex] and [tex]+6[/tex] on both sides of the equation.
[tex]10x-3x=-1+6[/tex]
Add and subtract.
[tex]7x=5[/tex]
Divide [tex]7[/tex] on both sides of the equation.
[tex]x=5/7[/tex]
According to the vertical line test, is the equation x=y^2 a function?
Answer:
No it is not a function
Step-by-step explanation:
Julie went shopping at the mall for a new pair of jeans. She saw a pair at Hollister that was marked $50 with a 40% discount. She saw a pair at Abercrombie that was marked $40 with a 20% discount. How much would each pair of jeans cost after the discount?
Answer:
30 and 32
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
25
Step-by-step explanation:
So find the number that is a perfect square and 2 times the square root = 10
The number is 25.
Check:
[tex](x+5)^2=x^2+10x+25[/tex]
Answer:
The answer is 25.
Step-by-step explanation:
25 is a perfect square of 5. When x are added together, they form 10x.
[tex] {(x + 5)}^{2} [/tex]
[tex] {x}^{2} + 2(x)(5) + {5}^{2} [/tex]
[tex] {x}^{2} + 10x + 25[/tex]
what is 18% of 39 equals what
Answer:
7.02
Step-by-step explanation:
[tex]\frac{18}{100}[/tex] x 39 = 7.02
First write 18% as a decimal by moving the
decimal point two places to the left to get .18.
Next, the word "of" tells us we need to multiply.
So we multiply (.18)(39) to get 7.02.
So 7.02 is 18% of 39.
(a + b)(a2 – ab + b2) = a3 + b3
Answer:
a3 + b3 = a3 + b3
Step-by-step explanation:
I'm not sure what you are asking for but this equation is true if that's the problem.
Multiply all the variables and then combine like terms.
On the left side we end out as a3 + b3 which is equal to the right side. Hope this helps!
Find the speed of a car on km/hr that is moving
at speed 144mls
Answer:
Speed in km/hr = 518.4 km/hr
Step-by-step explanation:
Speed = 144 m/s
To convert m/s to km/her, you just need to multiply it by 3.6
Speed in km/hr = 144 × 3.6
Speed in km/hr = 518.4 km/hr
Answer:
518.40km/h
Step-by-step explanation:
144m/s
it means that in 1 sec it does 144m
we are searching how many km it does in 1 hour
1 hour = 60*60=3600 sec
so in 3600 sec (= 1 hour) it does 144*3600 m
and 1 km = 1 000m
so in 1 hour it does 144*3600/1000 = 144*3.6 = 518.40
the speed of the car is 518.40km/hr
hope this helps
I need to know this problem cause I need to finish summer school
Answer:
27
Step-by-step explanation:
#3 is 1/3^3, and #4 is 1/x. The x is obviously 3^3 simplified, which is 27.
I see that you are in high school. Im in 7th grade and i can do this lol.
Find the surface area and volume of the prism.
Answer:
SA: 456
V: 408
Step-by-step explanation:
To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!
Formula of surface area: T.S.A = ph + 2b
p: represents the perimeter of the base, h
h: the height of the prism and B
B: the area of the base.
6 + 8 + 10 = 24
24 x 17 = 408cm^2
Formula of Volume:
V: of a prism is the area of the base
B: times the height h
h: height
V=Bh
8 x 7 = 56cm^3
3 feet
12 feet
The ramp will be approximately
feet long
Answer:
36 feet long
Step-by-step explanation:
3 feet x 12 feet is 36 so it will be 36 feet long!
please mark brainliest and have a nice day :)
can someone help me!!
Answer:
y = 4x -3
Step-by-step explanation:
I will mark you brainliest!!!! Which statement about the represented equation is true?
Answer:
A
Step-by-step explanation:
Answer:
D. The slope is 7, and (2, -4) is on the line.
Step-by-step explanation:
y+4=7(x-2)
y+4=7x-14
Subtract 4 from both sides
y=7x-18
The slope is 7. (y=mx+b, m is the slope, b is the y-intercept)
(0, -18), (1, -11), (2, -4), (3, 3), (4, 10) are points on the line.
The answer that is true out of all of them is D. The slope is 7, and (2, -4) is on the line.
System of equations by elimination
2x - 3y = 5
2x + 2y = 10
Jeremy is driving to his friends house that is 60 miles away from his home the scale on Jeremy's map is 1 1/2 inches equivalent to 9 miles how far is it on the map from jeremys house to his friends?
Answer:
The distance between their house on the map is 10 inches.
Step-by-step explanation:
In order to calculate the distance from Jeremy's friend house to his we can apply a rule of three in a way that 60 miles is related to "x" inches in the same proportion as "1 1/2" inches is related to 9 miles. Before applying that it'll be for the best if we convert the mixed fraction to a pure fraction as shown below:
[tex]d = 1\frac{1}{2} = 1 + \frac{1}{2} = \frac{2}{2} + \frac{1}{2} = \frac{3}{2}[/tex]
Creating the rule of three:
[tex]\frac{60}{9} \frac{\text{miles}}{\text{miles}} = \frac{x}{\frac{3}{2}} \frac{\text{inches}}{\text{inches}}\\\\9*x = \frac{60*3}{2}\\\\x = \frac{180}{18}\\\\x = 10 \text{ inches}[/tex]
The distance between their house on the map is 10 inches.
Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$____
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
Which of the following statements about f(x) is true? F(x)=(5/4)^x+1
Answer:
idk
Step-by-step explanation:
i don't see any statements jsjsjsjsjsjs
Which integers satisfy the inequality 2 < x ≤ 6 ?
Please help if you are in year 8 and know math!
Answer:
3, 4, 5, 6
Step-by-step explanation:
Given the inequality
2 < x ≤ 6
This says that 2 is less than x , so x ≠ 2 ( left part )
x is less than or equal to 6 means x can equal 6 ( right part )
Integer values that satisfy the inequality are
x = 3, 4, 5, 6
Please help it’s geometry :(
Answer:
[tex]\sqrt{85}[/tex]
Step-by-step explanation:
Using the distance formula:
[tex]x=\sqrt{(5-(-2))^2+(3-(-3))^2}=\sqrt{7^2+6^2}=\sqrt{49+36}=\sqrt{85}[/tex]
Hope this helps!
HELP FAST
√32 as a mixed radical
Answer:
[tex]4\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{32}= \\\\\sqrt{2\cdot 16}= \\\\\sqrt{2\cdot 4^2}= \\\\4\sqrt{2}[/tex]
Hope this helps!
Answer:
[tex]4\sqrt{2} \\[/tex]
Step-by-step explanation:
4 times the square root of 2 is equivalent to the square root of 32.
in a bacterial cell where would you find the DNA plasmids?
Step-by-step explanation:
bacteria also have small, closed-circle of DNA called plasma and present in their cytoplasm .
The inverse of f(x) is a function
Answer:
The inverse of a function may not always be a function!
The original function must be a one-to-one function to guarantee that its inverse will also be a function.
II. Find the present value of $10,000 received at the start of every year for 20 years if the interest rate is J1 = 12% p.A. And if the first payment of $10,000 is received at the end of 10 years
Answer:
$26934.56
Step-by-step explanation:
The present value of an annuity is the current value of payments gotten from an annuity in the future, given a rate of return, or discount rate. The present value of an annuity (PVOA) is given by the formula:
[tex]PVOA=payment*\frac{[1-(1+r)^{-n}]/r}{(1+r)^{t-1}}[/tex]
n = 20 years, t = 10 years, r =12% = 0.12, payment = $10000
[tex]PVOA=10000*\frac{[1-(1+0.12)^{-20}]/ 0.12}{(1+0.12)^{10-1}}[/tex] = $26934.56
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!
Answer:
A is the answer i believe
Step-by-step explanation:
Please does know the answer
Answer:
69.08 cm
Step-by-step explanation:
Volume of each container
= l*b*h
= 20cm*30cm*50cm
= 30000cm ^3
= 0.03 m^3
The volume of 200 of these containers
= 0.03*200
= 6 m^3
The volume of the tank is also equal to 6m^3
Volume of tank = πr^2h
πr^2h= 6
πr^2= 6/4
r^2 = 6/4*7/22
= 42/88
= 0.477
r= √0.477
= 0.6908m
= 69.08cm
Answer:
Base radius = 69.08 cm.
Step-by-step explanation:
Volume of each container = 20*30*50
= 30,000 cm^3
200 of these has a volume of
200 * 30000
= 6,000,000 cm^3.
The volume of the cylinder = π r^2 h
= π r^2 * 400 = 6000000
r^2 = 6000000 / (π * 400)
r^2 = 4774.65
r = 69.08 cm.
What is the value of y?
O A. 30°
OB. 40°
O C. 50°
O D. 60°
For any triangle, the three angles always add to 180
(y+10)+(2y)+(50) = 180
3y+60 = 180 ... combine like terms
3y+60-60 = 180-60 ... subtract 60 from both sides
3y = 120
3y/3 = 120/3 .... divide both sides by 3
y = 40
4/5x(-3/7)-3/8+6/5x(-3/7
Find using suitable property
Answer:
-1 13/56
Step-by-step explanation:
[tex] \frac{4}{5} \times ( - \frac{ 3}{7} ) - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) = \\ = - \frac{12}{35} - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) \\ = - \frac{12}{35} - \frac{3}{8} + ( - \frac{18}{35} ) \\ = - \frac{96}{280} - \frac{105}{280} - \frac{144}{280} \\ = - \frac{201}{280} - \frac{144}{280} \\ = \frac{345}{280} = - 1 \frac{65}{280} \\ = - 1 \frac{13}{56} [/tex]
#I_hope_this_helps
#save_earth
#stay_at_home
#keep_spirit
What is the surface area of a sphere with the given dimension? Express your answer to nearest hundredth. Use 3.14 for pi.
Radius = 5cm.
a. 982 sq. cm
C. 314 sq.cm
b. 1481.34 sq.cm
d. 628 sq. cm
Answer:
314cm²
Step-by-step explanation:
Surface area(sphere) =4πr²
4 * 3.14 * (5²)
4 * 3.14 * 25
Hence, Surface area is 314sq.cm
Compare and contrast the Angle Angle Similanty Postulate, the Side Side Side Similarity Theorem and the Side Angle
Side Similanty Theorem
Write about the similantes and the differences that you observe.?
Answer:
The similarities are
1) Two triangles are similar when they meet either the (Angle Angle) AA, (Side Side Side) SSS or (Side Angle Side) SAS criteria
2) When two triangles meet either of the above similarity criteria they automatically meet the other similarity criteria
3) The ratio of their equivalent sides are equal such that when ΔABC is similar to ΔDCE we have;
AB/DC = AC/DE = BC/CE
The observed differences are
1) Triangles that meet the SAS and SSS Similarity Theorem criteria can be said to be congruent, that is they have both the same side sizes and angle sizes while triangles that meet only the AA Similarity Postulate criteria may or may not be congruent
2) The number of possible triangles formed by the SAS or SSS Similarity Theorem criteria is only one while the number of possible triangles formed by the AA Similarity Postulate criteria is infinite
3) A triangle that meets either the SAS or SSS Similarity Theorem criteria also meets the AA Similarity Postulate criteria
4) A triangle that meets either the AA Similarity Postulate criteria does not necessarily meet the AA Similarity Postulate criteria.
Step-by-step explanation:
The similarity postulates are;
The Angle Angle Similarity Postulate also known as AA
The Side Side Side Similarity Theorem also known as SSS
The Side Angle Side Similarity Theorem also known as SAS
A cubical block of side 14 cm is surmounted by a hemisphere . what is the greatest radius that the hemisphere can have?
Answer:
9.9cmStep-by-step explanation:
The hemisphere will have its greatest radius along the diagonal of the cube it was surmounted on. The base of the cubical block will be square in nature. Since a cube has all its sides equal, we can find the length of its diagonal using pythagoras theorem as shown.
[tex]hyp^{2} = adj^{2} +opp^{2}[/tex]
Note that the diagonal will be the hypotenuse of the square face which is the longest sides.
Given adjacent = 14cm and opposite = 14cm
[tex]hyp^{2} = 14^{2} +14^{2}\\hyp = \sqrt{196+196} \\hyp = \sqrt{392} \\hyp = 19.8cm[/tex]
The diagonal of the base of the cube is 19.8cm which is equivalent to the greatest diameter of the sphere.
The greatest radius that the hemisphere can have = 19.8/2 = 9.9cm
Drawing diagrams
Circles
Radius rDiameter dRelationship between r and d:Cubes
Length lWidth wHeight hApplication:Let's draw a figure to supplement a visual image to further understand what we need to find. Please refer to the attached image for reference. Please excuse the poor handwriting/drawing. It is also not to scale.
We know that there is a cubical block w/ side measurements of 14 cm. "Surrmounted" means on top. So a hemisphere (half of a sphere) is on top of our block.
If we take a look at our geometrical shape from the top-down angle, we can see that the top would just look like a circle within a square, as depicted in blue.
Labeling our measurements, we can see that the length, width, and height of our cubical block are equal to 14 cm due to the definition of a cube. This extends to the definition of a square as well, so the length and width of our square are also equal to 14 cm.
With the side of the square equal to 14 cm, we know that this is equal to the circle's diameter. So d = 14 cm. We can solve for the radius of the circle/hemisphere by substituting it into the radius formula:
[tex]\begin{aligned}r & = \frac{d}{2} \\& = \frac{14 \ \text{cm}}{2} \\& = \boxed{ 7 \ \text{cm}} \\\end{aligned}[/tex]
Answer:∴ the greatest radius that the hemisphere can have is equal to 7 cm. Any r > 7 cm would result in the hemisphere being over the edge of the cube.
___
Learn more about Geometry: https://brainly.com/question/27732359
___
Topic: Geometry
Unit: Composition of Geometrical Shapes
Hey if you could help me with this it'd mean a lot I can't figure it out
L+S=17
3L+2S=46
What is S and what is L?
Answer:
L = 12 S = 5
Step-by-step explanation:
L+S=17
3L+2S=46
Multiply the first equation by -2
-2L -2S = -34
Then add it to the second equation
-2L -2S = -34
3L+2S=46
------------------
L = 12
Now we can find S
L+S = 17
12 + S = 17
Subtract 12 from each side
S = 17-12
S = 5
How many complex numbers have modulus of 5?
9514 1404 393
Answer:
an infinite number
Step-by-step explanation:
In the complex plane, all of the numbers with modulus 5 form a circle of radius 5 around the origin. There are an infinite number of points on that circle.
An infinite number of complex numbers have a modulus of 5.