Answer:
8
Step-by-step explanation:
We can set this up in a ratio. In the picture shown, there is a large triangle and a small triangle inside it.
The ratio for the large triangle would be 21/28.
I got the '21' from '21/28' from doing 15+6.
Now the ratio for the small triangle is 6/x. As x is the unknown value.
To find x, we have to cross multiply and to do that we would do:
21x = 28x6
Simply and you get
21x=168
x=8
Hope this helps! :)
What are the points on y-axis which are at a distance of 4 units from 4x+3y=12
Given:
The equation of line is
[tex]4x+3y=12[/tex]
To find:
The points on y-axis which are at a distance of 4 units from the given line.
Solution:
The point lie on the y-axis. So, their x-coordinate must be zero.
Let the points are in the form of (0,k).
The distance between a point [tex](x_0,y_0)[/tex] and a line [tex]ax+by+c=0[/tex] is
[tex]d=\dfrac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}[/tex]
The given equation can be written as
[tex]4x+3y-12=0[/tex]
The distance between (0,k) and [tex]4x+3y-12=0[/tex] is 4 units.
[tex]4=\dfrac{|4(0)+3(k)-12|}{\sqrt{4^2+3^2}}[/tex]
[tex]4=\dfrac{|0+3k-12|}{\sqrt{16+9}}[/tex]
[tex]4=\dfrac{|3k-12|}{\sqrt{25}}[/tex]
[tex]4=\dfrac{|3k-12|}{5}[/tex]
Multiply both sides by 5.
[tex]20=|3k-12|[/tex]
[tex]\pm 20=3k-12[/tex]
[tex]12\pm 20=3k[/tex]
[tex]\dfrac{12\pm 20}{3}=k[/tex]
Now,
[tex]k=\dfrac{12-20}{3}\text{ and }k=\dfrac{12+20}{3}[/tex]
[tex]k=\dfrac{-8}{3}\text{ and }k=\dfrac{32}{3}[/tex]
Therefore, the two points are [tex]\left(0,\dfrac{-8}{3}\right)\text{ and }\left(0,\dfrac{32}{3}\right)[/tex].
what shape/figure has reflectional symmetry and point symmetry?
Find the value of x.
Answer
x=7
Step-by-step explanation:
I honestly forgot how to explain but my logic is that 43+137+137+43=360
so, x would equal 7
| -1 - 3| = ?
asking for a friend
Answer:
4
Step-by-step explanation:
first you simplify, so -1-3=-4.
|-4|
the absolute value of negative four is just four with all signs removed (in this case, negative sign)
4
is anyone able to help please!
Answer:
4480ft³
Step-by-step explanation:
formula: V=⅓Bh (B- base) (h-hight)
B=L×W, B=17.5×32= 560
h=24ft
V=⅓(L×W)h
V=⅓(560)24
V=⅓(13440)
13440÷3=4480ft³
8. The double box plot shows the costs of MP3 players at two different stores. Which one of the following inferences is NOT true based on the dot plots shown below:
A. 75% of the prices at Electronics World are lower then $75.
B. 75% of the prices at Bargain Basement are lower than $65.
C. The median price at Electronics World is $10 more than at Bargain Basement.
D. MP3 players are more expensive at Bargain Basement.
what is the quotient of 9.18 dived by -3.4
Answer:
dez q
Step-by-step explanation:
Pupils in a class were asked how they travel to school. The results were
recorded in the table below.
Car
13
Bus
6
Train
5
Walk
8
If a pupil in the class was picked at random, what is the probability
that one of them walked to school as a percentage?
Each of these numbers is written as a product of prime factors.
Note: 539 = 11 x 7²
847 = 7 x 11²
Use this information to write:
(a)539/847 as a fraction in its simplest form.
(b)55/539 as a fraction in its simplest form.
Answer:
a)539/847=
11×7²
____=7^(2-1)/11^(2-1)=7/11
7×11²
Step-by-step explanation:
(b)55/539=(5×11)/( 11 x 7²)=5/7²
PLEASE HELP ME
Solve the system by adding or subtracting.
3x + y = 32
3x − 2y = 17
The solution of the system is
Step-by-step explanation:
-(3x+y=32)
3x-2y=17
-3x-y=-32
3x-2y=17
-3y=-15
y=5
3x+(5)=32
-5. -5
3x=27
x=9
Answer:
x=9
y=5
Answer:
x = 9
y = 5
Step-by-step explanation:
3x + y = 32...(1)
3x - 2y = 17....(2)
multiplying equation (1) by 2 we get,
6x + 2y = 64...(3)
Adding eq(2) and (3) we get,
6x + 2y = 64
+ 3x - 2y = 17
----------------------
9x. = 81
therefore, x = 81/9
therefore, x = 9
substituting value of x in eq( 1)
3 * 9 + y = 32
27 + y = 32
y = 32 - 27
y = 5
7b+8<100 how many books can Brian buy without overspending
Answer:
Step-by-step explanation:
7b + 8 < 100
subtract 8 from both sides
7b < 92
divide both sides by 7
b < 92/7 ≅ 13.1
Brian can buy at most 13 books.
Answer: You have to plug in the numbers.
So first let's plug in 13. 7*13+8=99
Now 15. 7*15+8=113
Now 18. 7*18+8=134
Lastly 20. 7*20+8=148
The answer is 13.
Step-by-step explanation:
Answer these 2 questions correctly for Brainliest!
Answer:
1. trapezoid
2. 360°
Step-by-step explanation:
plz mark me brainliest, :)
Answer: 1: D 2: 360
Step-by-step explanation:
the shapes have the top and bottom two that are parallel and then the sides aren’t parallel
A teacher puts 119 students into teams of 12 for a car wash fundraiser extra students work as coumunity  Volunteers how many students work as Community volunteers pls help
Answer:
Step-by-step explanation:
119/12
108car wash
11 students as community volunteers
math is extremely confusing
Answer;;;;
explained
Solve the equation
4y - 7 = 15
Justify your answer
[tex] \tt \dashrightarrow 4y - 7 = 15[/tex]
[tex] \tt \dashrightarrow 4y = 15 + 7[/tex]
[tex] \tt \dashrightarrow 4y = 22[/tex]
[tex] \tt \dashrightarrow y = \cancel{\dfrac{22}{4}}[/tex]
[tex] \tt \dashrightarrow y = \dfrac{11}{2}[/tex]
[tex] \tt \dashrightarrow y = 5.5[/tex]
[tex] \large \underline{\boxed{\bf{y = 5.5}}}[/tex]
Hence, value of y = 5.5.
Answer: y = 5 ½ or y = 5.5
Step-by-step explanation:
4y - 7 = 15
Add 7 to both sides of the equation.
4y = 22
Divide both sides by 4
y = 5.5
Substitute y in the original equation.
4(5.5) - 7 = 15
22 -7 = 15
True.
in a stack of 52 well shuffled cards what is the probability that the card which is drawn is a cube card
La probabilidad de que al tirar un dado, salga 1, es de 1/6. La probabilidad de que salga 3, es de 1/6. Calcular la probabilidad de que al tirar un dado, salga 1 o 3.
Respuesta. La probabilidad de sacar um 3 seria de 16.66% osea un sexto ,de sacar un numero par es de tres sexto osea del 50% y de sacar un numero impar es de tres sexto osea 50% igual ke los pares y de sacar un numero menor k 7 es de 6 sobre 6 osea 100%.
El valor uno corresponde al suceso seguro: lanzamos un dado al aire y la probabilidad de que salga cualquier número del 1 al 6 es igual a uno (100%). El resto de sucesos tendrá probabilidades entre cero y uno: que será tanto mayor cuanto más probable sea que dicho suceso tenga lugar.
A farmer built a water reservoir which is 5 m long, 3 m deep and 2 m wide. Find the amount of water it can contain in litre. (I asked this question before but didn't receive an answer and I'm preparing for a test so could anyone tell me an explanation and answer for this?)I will give you ten points and will mark you brainiest
Answer:
5m×3m×2m=30m³
1m³=1000l
30m³=?
=30m³×1000l=30000l
Step-by-step explanation:
this shape is a cuboid
volume is L×W ×H
3×2×5=30m3
1 m3 = 1000 lit
so the farmer needs 30000 lit.
2007 Federal Income Tax Table
Single:
Over But not over The tax is
$0 $7,825 10% of the amount over $0
$7,825 $31,850 $788 + 15% of the amount over $7,825
$31,850 $77,100 $4,386 + 25% of the amount over $31,850
$77,100 $160,850 $15,699 + 28% of the amount over $77,100
$160,850 $349,700 $39,149 + 33% of the amount over $160,850
$349,700 And Over $101,469 + 35% of the amount over $349,700
Maria Contrerras earned $53,000 in taxable income. She figured her tax from the single taxpayer table above.
1. Find her earned income level.
2. Entered the base amount. = $
3. Found the amount over $ = $
4. Multiplied line 3 by 25% = $
5. Added Lines 2 and 4 = $
Tax= $ 7,173.5
Step-by-step explanation:
Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to
$ 77,100.
Tax for $ 31,850 is $ 4,386
Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over
25 % of $ 11,150= $ 2,787.5
Total Tax= $ 4386 + $ 2787.5= $ 7,173.5
Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions as the one shown.
8x + 7y = 39
4x – 14y = –68
make sure to give a long paragraph for edginuity
Answer:
Step-by-step explanation:
Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5)
Answer:
Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5).
Step-by-step explanation:
A new phone costs $230 and the sales tax rate is 7%. What is the total cost of the camera after tax?
That's a question about percentage.
One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.
Examples:
90% is equivalent to 0,90.5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.13.17% is equivalent to 0.1317.245% is equivalent to 2.45.If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.
Examples:
55.90% of 200 is equal to: [tex]200 \times 0.5590 = 111.8[/tex]360% of 88 is equal to: [tex]88\times 3.6 = 316.8[/tex]In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.
107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.
We know that [tex]230\times 1.07 = 246.1[/tex], therefore, the total cost of the phone after tax is $246.1.
I hope I've helped. :D
Enjoy your studies. \o/
Six friends share 3/4 of a pound of roasted almonds. What fraction of a pound does each friend receive
Answer: 1/8 pounds of roasted almonds
Step-by-step explanation:
There are six friends and each of them are to receive and equal piece out of a 3/4 pound of roasted almonds.
The almonds each friend will get will therefore be the 3/4 pack divided by 6:
= 3/4 ÷ 6
= 3/4 * 1/6
= 3/24
= 1/8 pounds of roasted almonds
When dividing by a number, you can instead multiply by the inverse of that number.
Will give brainliest if you help me lol
isabella earned $44.00 for 4 hours of work how much was earned per hour
Answer:
$11
Step-by-step explanation:
44/4 = 11
Answer:
11 was earned per hour
Step-by-step explanation:
44 divided by 4 is 11
Omar has a new credit card. He earns
300
300300 reward points for every
100
100100 dollars he spends.
If Omar earned
1800
18001800 reward points, how much money did he spend?
dollars
Answer:
$600
Step-by-step explanation:
Omar spent $600.
Essentially, we divide his total number of points:
1800
by the amount earned
300
=
6
we take that and multiply by 100 (our amount needed to be spent to earn points) and boom, problem solved.
Follow the steps and finish the solution.
7(x-3) = 28
7x-21 = 28
Distributive property
7X=49
Addition property of equality
Division property of equality
X= -
What is the value of x?
O 7
O 9
O 42
056
Answer:
7 because 7x = 49 is 7 because 7 goes to itself 1 and to 49 7
During a thunderstorm, 600 millimeters of rain fell in 30 min.
A. How fast did the rain fall, in millimeters per minute?
B. How fast did the rain fall, in millimeters per hour?
C. Which unit rate do you think is more useful? Explain your reasoning.
Sorry that I can only put 10 points. But please I really need help with this
1. The equation y = 2x + 6 represents a function.
a. Complete the x and y table:
х
y
2
10
15
21.5
Answer:
Step-by-step explanation:
x | y
2 | 10
15| 15
21.5 | 17.5
A store offers a 20% discount. The discount price of a hat is $18. What is the regular price of the hat?
Answer:
90%
Step-by-step explanation:
20% = 18
1% = 0.8
100%=90%
There is 3/4 of a pizza. 1/3 of the pizza has pepperoni on it. How much
of the pizzas has pepperoni on it?
Answer:
4/12
Step-by-step explanation: