[tex]4x + 2x = 20 \\ x + 3x = 50[/tex]
simotenus equation
Answer:
I think there is an error in the question, I assume it reads:
4x+2y=20
x+3y=50
If not, please make appropriate corrections to the question.
Answer: x=-4, y=18
Step-by-step explanation:
4x+2y=20
Simplify, divide by two,
2x+y=10.....................(1)
x+3y=50....................(2)
Multiply (2) by 2
2x+6y=100 ....................(2a)
Subtract (1) from (2a)
2x+6y - (2x+y) = 100 - 10
5y = 90
y=18..............................(3)
Substitute (3) into (1)
2x+(18)=10
2x = 10-18 =-8
x=-4 ............................(4)
Substitute (3) and (4) into (1) for verification
2x+y = 2(-4)+18 = 18-10 = 10 checks.
Substitute (3) and (4) into (2) for verification
x+3y=-4+3(18) = -4+54 = 50 checks.
Have a nice day!
naing ducts Of Differences Show that (x - 1)(x - 1) and x² – 2x + 1 are equivalent expressions by drawing a diagram or applying the distributive property. Show your reasoning.
Answer:
(x-1)(x-1) = x^2-2x+1
Step-by-step explanation:
x^2-1x-1x+1 = x^2-2x+1
There are at least 5 slices of bread left in the bag. Use p as your variable
The inequality is:
Answer: p ≤ 5
Step-by-step explanation: The inequality is: p ≤ 5
The sum of two numbers is -- 3. One number is 26 more than the
other one. Find the numbers.
Answer:-29+26
Step-by-step explanation:
A number cube is marked 1, 2, 3,4,5 and on 6 it's face if you roll the cube one time what is the probability that is 2
Answer:
1/6
Step-by-step explanation:
This is your answer
Hope this helps :)
Answer:
1/6
Step-by-step explanation:
WILL GIVE BRAINLST
HAVE A AMAZING DAy !!
Answer:
u 2
and stay positive :)
Step-by-step explanation:
Hello! I do not know if you meant to put up a question, but I also hope that you have an amazing day! :)
Prince Charming invests $3000 for 5 years at a rate of 4% per year simple interest.
Calculate the total interest he will receive.
Answer:
$ 600
Step-by-step explanation:
From the question given above, the following data were obtained:
Principal (P) = $ 3000
Time (T) = 5 years
Rate (R) = 4%
Interest (I) =?
The total interest he will receive can be obtained as follow:
I = PTR/100
I = 3000 × 5 × 4 / 100
I = 60000 / 100
I = $ 600
Thus, the total interest he will receive is $ 600
The amount of $600 received by Prince Charming on the investment of $3000 for 5 years.
Prince Charming invests $3000, thus the principal amount is $3000.
He invest the same amount for 5 years, thus time we have to paid on this principal is 5 years.
The rate for which the principal amount increase is 4 %.
The formulated way to represent the simple interest (I) after passing t years of time, at a rate of r % and having a principal amount of P is mentioned below.
[tex]I=\dfrac{P \times r \times t}{100}[/tex]
Substitute the given values in the above formula to calculate simple interest.
[tex]\begin{aligned}I&=\dfrac{3000 \times 4 \times 5}{100}\\&=600 \end{aligned}[/tex]
Thus, the amount of $600 received by Prince Charming on the investment of $3000 for 5 years.
To know more about the simple interest, please refer to the link:
https://brainly.com/question/23266303
If DB = 18cm and AC = 24cm, Use the properties of rhombus to find the length of one side of the rhombus please helppp!!!!
Answer:
15 cm
Step-by-step explanation:
You need to remember 2 theorems about a rhombus.
1. The diagonals of a rhombus bisect each other
2. The diagonals of a rhombus are perpendicular to each other
In other words, the diagonals of a rhombus are perpendicular bisectors.
BE = 9 and AE = 12
ΔAEB is a right triangle. So, the Pythagorean theorem says
[tex]9^{2} + 12^{2} = AB^{2}[/tex]
[tex]AB^{2}[/tex] = 81 + 144
= 225
AB = [tex]\sqrt{225} = 15[/tex] cm
The product of s and 10
Answer:
10s
Step-by-step explanation:
The product of s and 10
In mathematic, when the word "product" is used, it means multiplication.
10 × s ---> 10s *Both of them are the same.*
Hope this helps and stay safe, happy, and healthy, thank you :) !!
Answer:
The product of s and 10 = 10s
Step-by-step explanation:
The term “product” determines a multipaction problem.
The variable S is unknown within the value
so with a numerical and a algebraic number, the number comes together
The director of Washington County Animal Services wants to learn more about the adoptable pets in local animal shelters. Which of these methods will produce the most representative sample of the population of adoptable pets at shelters in Washington County? O A. The director visits each shelter and evaluates the first 10 cats in each place. O B. The director evaluates all adoptable rabbits at area shelters. O C. The director selects adoptable pet ID numbers at random from each shelter. O D. The director evaluates every adoptable pet at one selected shelter.
Answer: It is C, The director selects adoptable pets ID numbers at random from each shelter!
Step-by-step explanation: I took the quiz on A P E X^^
Choose ALL that apply to classify the decimal.
0.186
Question 3 options:
Rational
Repeating
Irrational
Nonterminating
Terminating
Answer:
Rational TerminatingStep-by-step explanation:
A Rational number is one that can be expressed as a fraction where the denominator is not zero. The above decimal can be expressed as a fraction in the form : ¹⁸⁶/₁₀₀₀
The decimal is also a terminating decimal which describes a decimal number that has a certain number of digits after the decimal point. In other words, the digits after the decimal point do not go on forever. 0.186 has three digits after the decimal meaning it does not go on forever.
Which statements about the formulas for finding area are true? Select two options.
The area formulas for a triangle and a parallelogram require multiplying base by height.
A triangle and parallelogram with the same base and height will have the same area.
A rectangle and parallelogram with the same base and height will have the same area.
The area formula of a trapezoid requires finding the product of the bases.
The base of a triangle is always the shortest side.
Answer:
The area formulas for a triangle and a parallelogram require multiplying base by height.
A rectangle and parallelogram with the same base and height will have the same area.
Answer:
a and c to make it easier
Step-by-step explanation:
Find the average rate of change of f(x)=2x^2-8x from x=2 to x=5. Simplify your answer as much as possible.
f(x)=2x^2-8x from x=2 to x=5. Simplify your answer as much.
We need to find [f(b) - f(a)]/(b - a).
Let a = 2
Let b = 5
f(2) = 2(2)^2 - 8(2)
f(2) = 8 - 16
f(2) = -8
We now find f(5).
f(5) = 2(5)^2 - 8(5)
f(5) = 50 - 40
f(5) = 40
[f(5) - f(2)]/(5 - 2)
(40 - (-8))/(3)
(40 + 8)/3
48/3 = 16
The average rate of change is 16.
I need help with this problem will mark the brainliest
Answer:
angle C = angle E. that my answer
What is the volume of the cone to the nearest cubic millimeter (use pi)
A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and is attached 10 m from the bottom of the pool how long is the rope in how tall is the flagpole
Answer:
[tex]5.77\ \text{m}[/tex]
[tex]11.54\ \text{m}[/tex]
Step-by-step explanation:
p = Height of pole
h = Length of role
b = Distance between the bottom of the rope and bottom of the pole = 10 m
[tex]\theta[/tex] = Angle between the rope and the ground = [tex]30^{\circ}[/tex]
[tex]\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}[/tex]
The length of the rope is [tex]5.77\ \text{m}[/tex]
[tex]\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}[/tex]
The length of the pole is [tex]11.54\ \text{m}[/tex]
Please help and thank you! Will mark whoever answers right the brainliest!
John will paint the walls and ceiling of the room shown. The windows measures 3 feet by 6 feet. The door measures 7 feet by 3 feet.
Part A: Describe the surfaces John will not paint.
Part B: Judy says you need to use subtraction to find the area of the surfaces John will paint. Is Judy correct? Explain.
Part C: A gallon of paint covers about 350 squared feet. How many gallons of paint will John need to buy to paint the walls and ceiling of the room? Justify your answer.
Answer:
Step-by-step explanation:
Part A. John will not be painting the floor area of that of the door or window openings.
Part B. Subtracting the areas of the floor, door, and window from the total surface area will provide the area to be painted so Judy is correct.
Part C.
We first need to find the area to be painted.
A=floor+2(wall1)+2(wall2)-window-door
A=14(7)+2(7)8+2(14)8-3(6)-3(7)
A=98+112+224-18-21
A=395 ft^2
Since a gallon of paint will cover 350 ft^2
395ft^2(gal/350ft^2)=1.13 gal
John will need approximately 1.13 gallons of paint. (Rounded to nearest hundredth of a gallon)
Please help ASAP please and thank you have a great and blessed day!
Answer:
A and C I believe
Step-by-step explanation:
Because when you take 7.429 another nine rounds the 2 and it is higher than 5 so it would make that 7.43 and for C 7.433 the second 3 is lower than 5 so it doesnt change anything, since 5 and above give it a shove and 4 and below let it go, so I believe its A and C
Find the solution of the system of equations.
y=1 = -x + 5 and y = 1/6-1
PLEASE HELP ME !!
What is the place value of the 7 in 436.967
Answer:
thousandths
Step-by-step explanation:
Based on the scatterplot below what is the most likely value for “Pounds of Apples” when “Number of Apples” is 60?
What are the solutions to x2 + x-7≤0
2+x-7≤0
(2-7=-5)
x-5≤0
+5 +5
x≤5
---
hope it helps
I really need help Will give brainyest!!!
Answer:
C.
Step-by-step explanation:
The median is the middle line of the box. 30 is for Town A and 40 is for Town B. 30 is less than 40
What is the correct expanded form and value of 43?
O 4+4+4= 12
O 4.4.4=64
O 3+3+3+3= 12
O 3.3.3.3= 81
Your answer would be 4.4.4=64.
Answer:
B. 4・4・4= 46 I hope it helps.
Help and explain
Find the area of the circle
Use 3.14 for. Do not round your answers
Which statement describes the transformation of ΔABC? Is ΔA'B'C' ≅ ΔABC? Explain. A) ΔABC has reflected across the y-axis and translated left 7. ΔA'B'C' ≠ ΔABC because a reflection and translation are rigid transformations. Rigid transformations dilate the original figure. B) ΔABC has reflected across the x-axis and translated left 5. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure. C) ΔABC has reflected across line y-axis and translated left 5. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure. D) ΔABC has reflected across line p and translated left 7. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure.
Answer:
the answer is D
Step-by-step explanation:
because the! ABC moved 7 points and reflected over line p
A negative number is always = the absolute value of a number
Answer:
To find the absolute value of an negative number, just take away the negative sign
The absolute value of a number can NEVER be negative
Step-by-step explanation:
For example, to find the absolute value of -22, it would be 22, since it is 22 points away from zero. To find the absolute value of -99.9, it would be 99.9.
A negative number is NOT always the absolute value of a number.
For example, the absolute value of 34 is, 34. If you plot it on a number line, it is 34 points away from zero, therefore proving a negative number is NOT always the absolute value of a number.
The absolute value of a number can NEVER be negative.
Answer:
The absolute value of a number is always POSITIVE! To find the absolute value, all you need to do is take away the negative sign!
Have a great day!
A tortoise can reach speeds of 0.12 m/s. Work out the speed of a tortoise in
kilometres per hour (km/h)
T
Answer:
yous should multiply it by 3.6;
0.12*3.6=0.432 km/h
A? is a graphical display of a set of data where each separate piece of data is shown as a
mark above a number line.
Answer:
dot plot a visual display in which each piece of data is represented by a dot above a number line.
Step-by-step explanation:
Pls help me PLSPLSPLSPLSPLSPLS
Answer:
1
Step-by-step explanation:
As all the others suggest more than two which is what the graph shows