Answers
[tex] \large{\red{\underline{\bf{Required \: Solution \: : }}}} [/tex]
Here we have been provided with two equations and we have to solve them by substitution method and get the value of x and y.
y = x - 4 (Equation No 1)y = 4x - 10 (Equation No 2)Here we have been already provided a temporary value of y in first equation so let us substitute in the second equation.
[tex]: \implies \: \sf{y \: = \: 4x \: - \: 10}[/tex]
[tex]: \implies \: \sf{x \: - \: 4 \: = \: 4x \: - \: 10}[/tex]
[tex]: \implies \: \sf{x \: = \: 4x \: - \: 10 \: + \: 4}[/tex]
[tex]: \implies \: \sf{x \: = \: 4x \: - 6}[/tex]
[tex]: \implies \: \sf{x \: - 4x \: = \: - 6}[/tex]
[tex]: \implies \: \sf{ - 3x \: = \: - 6}[/tex]
[tex]: \implies \: \sf{ \cancel - \: 3x \: = \: \cancel- \: 6}[/tex]
[tex]: \implies \: \sf{ 3x \: = \: 6}[/tex]
[tex]: \implies \: \sf{ x \: = \: \dfrac{6}{3} }[/tex]
[tex]: \implies \: \sf{ x \: = \: \cancel\dfrac{6}{3} }[/tex]
[tex]: \implies \: \boxed{\bf{ x \: = \:2 }} \pink\bigstar[/tex]
Therefore, value of x is 2..!!
Finding out value of y :
Here we would substitute the value of x which we got as 2 in the first equation inorder to get the value of y.
[tex]: \implies \: \sf{ y \: = \: x \: - \: 4 }[/tex]
[tex]: \implies \: \sf{ y \: = \: 2 \: - \: 4 }[/tex]
[tex]: \implies \: \boxed{\bf{ y \: = \:-2 }} \pink\bigstar[/tex]
Therefore, value of y is -2.
Related Questions
Calcular la magnitud de la velocidad angular y el período de
una rueda que gira con una frecuencia de 1200 rpm.
Answers
Answer:
The magnitude of the angular velocity is 125.66 rad / s and the period is 0.05 seconds.
Step-by-step explanation:
The computation of the magnitude and the period is given below:
First we determine the angular velocity that transforming the revolutions per minute,
So,
ω = (1200 rev / min) × (2π rad / rev) × (1 min / 60s)
ω = 125.66 rad / s
Now, the period is
ω = 2π ÷ T
T = 2π ÷ (125.66 rad / s)
T = 0.05 s
Hence, the angular velocity has a value of 125.66 rad / s and the period is 0.05 seconds.
Coom somebody help me with this problem, please.*
*brainiest goes to first answer and correct answers
Answers
Answer:
A. is 4
B. is 3
C. is 1
D. is 2
Ms. Neeson baked 30 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Ms. Neeson bake?
Answers
Answer: u find 5/6 of 30 cookies. of means to multiply do 5/6*30=
Step-by-step explanation:
5/6 of 30
30/6=5
5*5=25
Find the length of AB .
E
12
B
D
AB
Answers
Answer:
23
Step-by-step explanation:
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 28 centimeters, and the length of the other leg is 22 centimeters. The student incorrectly says that the length of the hypotenuse is 7.1 centimeters. Answer parts a and b a. . Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
A. The length of the hypotenuse of the right triangle to the nearest tenth of a centimeter
b. What mistake might the student have made?
A.
she found the difference of the square roots of the lengths of the legs.
B.
she found the sum of the square roots of the lengths of the legs.
C.
she took the square root of the sum of the lengths of the legs.
D.
she took the square root of the difference of the lengths of the legs.
Click to select your answer and then click Check Answer.
(Round to the nearest tenth as needed.)
Answers
Answer:
35.6cm
Step-by-step explanation:
it is quite confusing between choice b and c of what the student did wrong.since I'm not understanding it well it just said c but my point is thay student took the sum of the numbers which were the square roots and added and then found the square root and that was a mistake so she wasn't correct .and if I'm wrong also tell me good day.
twice a certain number x is less than 8. Find the range of values of the number
Answers
Answer:
F=2x +2
Step-by-step explanation:
The range of values for the certain number "x" is all real numbers less than 4.
Let's represent the certain number as "x."
The problem states that twice the certain number (2x) is less than 8. Mathematically, we can write this as:
2x < 8
Now, to find the range of values for "x," we need to solve for "x."
Divide both sides by 2:
x < 8/2
x < 4
So, the range of values for the certain number "x" is all real numbers less than 4. In interval notation, the range is (-∞, 4). This means "x" can take any value less than 4, including negative values and fractions that are less than 4.
To know more about number:
https://brainly.com/question/30609281
#SPJ2
I don't UNDERSTAND THIS PROBLEM PLEASE HELP ME SOLVE IT
Answers
Answer:
I don't understand either so I can't help
A members-only speaker series allows people to join for $19 and then pay $4 for every
event attended. What is the maximum number of events someone can attend for a total
cost of $31
Answers
Answer:
The answer is 3 events.
Step-by-step explanation:
I say this because the initial fee is $19, and its $4 per event so 4x3=$12 and $19 + $12 = $31 .
Find the scale factor of trapezoid \mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}QRST if it is dilated to \mathrm{Q}^{'} \mathrm{R}^{'} \mathrm{S}^{'} \mathrm{T}^{'}Q ′ R ′ S ′ T ′ . Type your result in the empty box provided below.
Answers
Question:
Find the scale factor of trapezoid [tex]\mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}[/tex] if it is dilated to [tex]\mathrm{Q}^{'} \mathrm{R}^{'} \mathrm{S}^{'} \mathrm{T}^{'}[/tex].
Type your result in the empty box provided below.
Answer:
The scale factor is 2
Step-by-step explanation:
Given
See attachment for plots
Required
Determine the scale factor
Using QR and Q'R' as points of reference.
From the attached plot, we have:
[tex]QR = 4\ units[/tex]
[tex]Q'R' = 8\ units[/tex]
The scale factor (k) from [tex]\mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}[/tex] to [tex]\mathrm{Q}^{'} \mathrm{R}^{'} \mathrm{S}^{'} \mathrm{T}^{'}[/tex]. is:
[tex]k = \frac{Q'R'}{QR}[/tex]
[tex]k = \frac{8\ units}{4\ units}[/tex]
[tex]k =2[/tex]
Can anyone help me with these questions? I am sorry if they aren’t a lot of points.
Answers
Answer:
Question 1: A
Question 2: B
Question 3: C
Step-by-step explanation:
Please give me brainliest if this helps! :)
what is the awnser to (0.2 + 0.982) + 8 =
Answers
Answer:
9.182
Step-by-step explanation:
0.2 + 0.982 = 1.182
1.182 + 8 = 9.182
Help 15 points!!
A central angle of a circle of diameter 6 cm measures 86°. What is the length of the intercepted arc?
A)
2.8 cm
B)
4.5 cm
C)
5.1 cm
D)
9 cm
Answers
Answer:
B)
4.5 cm
Step-by-step explanation:
The formula for arc length when our central angle is in degrees =
2πr(θ/360)
θ = 86°
Diameter = 6cm Radius = Diameter /2
Radius = 6cm/2 = 3cm
Hence,
Intercepted arc length = 2 × π × 3 (86/360)
= 2 × π × 3 × 0.2388888889
= 4.5029494701 cm
Approximately = 4.5 cm
Option B is the correct answer
A cereal box is being designed that needs to have dimension ratios of 1:1.5:4.2 and needs to have a volume of 14.49 cubic inches. What is the box's smallest dimension?
Answers
Answer:
2.2 inches
Step-by-step explanation:
smallest dimension = (smallest ratio / total ratio) x volume
(smallest ratio = 1
total ratio = 1 + 1.5 + 4.2 = 6.7
(1/6.7) x 14.49 = 2.2 inches
Can someone help me write and solve an equation to this word problem : A seventh grade class sells gift cards. Each gift card sells for $15.00. The school library gets 35% of the money earned for each gift card sold. How much money does the library get if the class sells 500 gift cards
Answers
Answer:
The anwser should be 2625
Step-by-step explanation:
35% of 15 is 5.25
5.25 multiple by 500 is 2,625
If xy + 12 = 6x + 7, find y if x =5.
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer:
y=25
Step-by-step explanation:
How many bases are there in the triangular pyramid shown below?
Answers
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
In a pyramid, there is only one base that touches the ground.
However, in a prism, there are two bases, two of the same ends.
The front of the name of the shape also hints:
If it's an octagonal prism, there are two octagon bases.
If it's a hexagonal pyramid, there is one hexagon base.
The customer saves $.96 by using a coupon. The coupon takes 30% off the original price of the serial. What is the original price of the box of cereal?
Answers
Divide .96 by 30 to get 1%
Then times that by 100 to get the original price
please help me answer this!
Answers
Answer:
right
Step-by-step explanation:
tell me if i was wrong
PLEASE HURRY : A container is 40% filled with liquid. The container holds 1560 gallons of liquid. How many gallons of liquid are needed to fill the container to top?
Answers
Matrix Math! Find the Product
AxA^T
A
B
C
D
Answers
The answer is A.
Use Desmos Matrix Calculator. Enter you Matrix then the equation.
help pls question/problem in image
Answers
Answer:
It's rotated around (0,0)
Step-by-step explanation:
Ashley started a savings account with Chase bank. She initially put in $200 in her account. If she was granted a .08% semi-annually, how much would she have in her account after a year?
Answers
account now equals 216
216 * .08 = 17.28
total after one year = $233.28
Find x. Please help with This problem!!!
Answers
Step-by-step explanation:
7+2x-2 = 4x -3
5= 2x -3
2x = 8
x = 4
Bacteria are the most common example of exponential growth. Select a number between 2 and 10 to represent the hourly growth rate of a certain bacteria. For example, selecting the number 8 would mean that the amount of bacteria will be 8 times greater after every hour.
a. Suppose you start with one single bacterium. Make a table of values showing the number of bacteria that will be present after each hour for the first six hours using the hourly growth rate that you selected. Then determine how many bacteria will be present once 24 hours have passed.
b. Explain why this table represents exponential growth.
c. Using this example, explain why any nonzero number raised to a power of zero is equal to one.
d. Write a rule for this table.
e. Suppose you started with 100 bacteria, but they still grew by the same growth factor. How would your rule change? Explain your answer.
Answers
Answer:
bh
Step-by-step explanation:
Answer:
Answers are below
Step-by-step explanation:
Hour 0 1 bacterium
Hour 1 3 bacterium
Hour 2 9 bacterium
Hour 3 27 bacterium
Hour 4 81 bacterium
Hour 5 243 bacterium
Hour 6 729 bacterium
After 24 hours, the number of the bacterium will reach 282,429,536,481.
B) This table represents exponential growth because of the number of bacterium always being multiplied by 3.
C) The reason that any number to the zero power is one is that any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.
D) Y = 1 + 3 to the power of x
E) The rule would change by having all of the numbers multiplied by 100 since there is 100 bacterium at Hour 0.
The number of bacteria can be represented by the equation A(t)=200(.75)^t, wherr A(t) is the amount of bacteria in grams and t is the number of days. a. Is this function growth or decay? b. What percent is the bacteria decreasing by each day? c. How many grams of bacteria will there be in 1 week? d. After how many days will there be half the initial amount of bacteria left?
Answers
Answer:
Step-by-step explanation:
a. This is a decay function, since the final value (A) gets smaller and smaller as the days pass by.
b. The bacteria is decreasing by 75% per day exponentially.
c. In order to calculate the amount of bacteria in a week we simply substitute the variable t for 7 (7 days in a week) and solve for A
A = 200(0.75)^7
A = 26.7 bacteria after 1 week
d. In order to calculate this we need to substitute the variable A with 100 and solve for t
100 = 200(0.75)^t ... divide both side by 200
0.5 = 0.75^t
[tex]\frac{ln(0.5)}{ln(0.75)}[/tex] = t
2.4 = t
It will be half the initial amount after 2.4 days.
Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?
Answers
Answer:
7 times
Step-by-step explanation:
To answer this question :
1. the volume of the rectangular prism has to b determined
2. the volume of the cannister has to be determined
3. divide the volume of the rectangular prism by the volume of the cannister
Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³
Volume of a cylinder = πr²h
where
h = height
π = 3.14
Diameter = 2r
radius = 2/2 = 1 feet
3.14 x 1 x 4 = 12.56 feet
90 / 12.56 = 7.2 times
Approximating to the nearest whole number gives 7 times
Someone help please !!
Answers
Answer:
what grade is this?
please someone help me!!! I don’t really understand what the question is asking! Plz no links, we all know they don’t help. If someone answers clearly, then i’ll give the crown to that person!
Answers
Answer:
D=360 M=288 V=648
Step-by-step explanation:
LeBron keeps track of events in his life relative to the year he was born. Relative to when he was born, his brother was born in year −3, and his family moved in year 7.
Which one of the following inequalities correctly compares the relative years?
Choose 1 answer:
(Choice A)
-3 > 7
(Choice B)
7 > -3
Which one of the following descriptions is correct?
Choose 1 answer:
(Choice A)
LeBron's family moved after his brother was born.
(Choice B)
LeBron's brother was born after his family moved.
Answers
Answer:
B then A
Step-by-step explanation:
Just easy
Answer:
first is A
then is B
Step-by-step explanation:
your welcome
⚠️Help me with math please
Answers
Answer:
what am I supposed to answer
Step-by-step explanation: