Answer:
x = 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
4x + 1 = 3 - 2x
Step 2: Solve for x
Add 2x on both sides: 6x + 1 = 3Subtract 1 on both sides: 6x = 2Divide 6 on both sides: x = 1/3Step 3: Check
Plug in x to verify it's a solution.
Substitute: 4(1/3) + 1 = 3 - 2(1/3)Multiply: 4/3 + 1 = 3 - 2/3Add/Subtract: 7/3 = 7/3Here we see that 7/3 does indeed equal 7/3.
∴ x = 1/3 is a solution of the equation.
Answer:
x=1/3
Step-by-step explanation:
4x+1=3-2x
Add 2x to both sides
6x+1=3
Subtract 1 on both sides
6x=2
x=2/6
Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10
Answer:
y = 12x + 10
Step-by-step explanation:
The equation of the line in slope-intercept form is y = 12x + 10.
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope is 12 and the y-intercept is 10, we have:
y = 12x + 10
Therefore, the equation of the line in slope-intercept form is y = 12x + 10.
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Pls i need help with this geometry problem. Its due today .
Answer:
63
Step-by-step explanation:
Set up the proportion
(6x+3)/17 = (8x - 1)/21 Cross Multiply
21 * (6x + 3) = 17 (8x - 1) Remove the brackets
126x + 63 = 136x - 17 Subtract 126x from both sides
63 = 136x - 126x - 17 Combine
63 = 10x - 17 Add 17 to both sides
63 + 17 = 10x Combine the left
80 = 10 x Divide by 10
80/10 = x
x = 8
Now you want 8x - 1
8*8 - 1 = 63
Line m is perpendicular to x − 2y = −1 and passes through (9, 2). What is the slope of line m?
Answer:
7
Step-by-step explanation:
The senior classes at High School A and High School B planned separate trips to the water park. The senior class at High School A rented and filled 14 vans and 2 buses with 270 students. High School B rented and filled 9 vans and 9 buses with 459 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
Answer:
x = number of students in the van = 14
y = number of students in the bus = 37
Step-by-step explanation:
Let
x = number of students in the van
y = number of students in the bus
14x + 2y = 270 (1)
9x + 9y = 459 (2)
Multiply (1) by 9 and (2) by 2
126x + 18y = 2,430 (3)
18x + 18y = 918 (4)
Subtract (4) from (3)
126x - 18x = 2,430 - 918
108x = 1,512
x = 1,512 / 108
= 14
x = 14 students in each van
Substitute x = 14 into (1)
14x + 2y = 270
14(14) + 2y = 270
196 + 2y = 270
2y = 270 - 196
2y = 74
y = 74/2
= 37
y = 37 students in each bus
x = number of students in the van = 14
y = number of students in the bus = 37
Craig has made 60% of 80 free throw attempts this season. How many free throws has he made
Answer:
Step-by-step explanation:
80*60%= 48 free throws were made
Answer: 48
Step-by-step explanation:
80x 0.01=0.8
0.8x 60=48
Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE, shown below. He knows that ABCD is a 140 m by 150 m rectangle, as shown below. He also knows that E is 50 m from the side AB and 30 m from the side BC. Determine the length of AE, the length of DE, and the perimeter of pentagon ABCDE
The diagram of the pentagon is missing, so i have attached it.
Answer:
|AE| = 130 m
|DE| = 150 m
Perimeter of pentagon = 720 m
Step-by-step explanation:
From the diagram, we can find AE from pythagoras theorem;
|AE| = √(|AA'|² + 50²)
Where AA' is the length from A to the perpendicular angle.
Now, AB = 150, and A'B is parallel to 30 m. Thus, A'B = 30
AA' = AB - A'B = 150 - 30
AA' = 120
Thus;
|AE| = √(120² + 50²)
|AE| = √(14400 + 2500)
|AE| = √16900
|AE| = 130
Similarly,
|DE| = √(|DD'|² + |ED'|²)
ED' = BC - 50
ED' = 140 - 50
ED' = 90
Also, DD' is parallel to AA' and is = 120
Thus;
|DE| = √(120² + 90²)
|DE| = √22500
|DE| = 150
Perimeter of pentagon = 150 + 130 + 150 + 150 + 140 = 720
what is the expression !! Help I’ll give brainlest
Answer:
The answer is answer choice C. A - B/2
Step-by-step explanation:
first 1 i got the answer but i want the 2
Jose wants to purchase a bike that costs $224. He currently has $104 and earns $20 per hour as a math
tutor. He uses the inequality 20h + 104 2 224, where his hours, to model the number of hours he must
work to afford the bike.
What is the least number of hours Jose can work and still afford the bike?
Answer:
what?
Step-by-step explanation:
Which diagram can be used to prove △ABC ~ △DEC using similarity transformations?
Triangle A B C is rotated about point C and then is dilated to form smaller triangle C E D.
Triangle A B C is reflected across side A C and then is dilated to form smaller triangle C E D.
Triangles A B C and C E D have different angle measures.
Right triangle A B C is shown. Line segment D E is drawn near point C to form triangle D E C.
Answer:
A
Step-by-step explanation:
I like math
Answer:
Answer is A
Step-by-step explanation:
edge2021
Can somebody please help me with this question!
Step-by-step explanation:
angle A = angle D
angle C common angle
angle E = 180 - 63 - 52
5x = 65
x = 13deg
Topic: congruence and similarity
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Answer:
x = 13°
Step-by-step explanation:
Because of the given congruency,
Angle A = Angle D = 63°.
Angle C = 52°
Angle B = Angle E = 5x
Now, In Triangle ABC,
Angle A + Angle B + Angle C = 180°.
63° + 5x + 52° = 180°
115° + 5x = 180
5x = 65°
x = 13°
HOPE IT HELPS!!!
What is the reciprocal of 3 1/8
Answer:
11
Step-by-step explanation:
because it would be the reciprical of 1/8 which is 8/1 plus 3
Which statement must be true? The monthly salary of Shenika is less spread out than the monthly salary of Clarissa. The monthly salary of Kaila is less spread out than the monthly salary of Abi. The monthly salary of Abi is less spread out than the monthly salary of Shenika. The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
Answer: The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Step-by-step explanation:
Hi. Your question isn't complete but I got something close to it online.
The monthly mean salaries and standard deviations of four college students are given below. student mean standard deviation clarissa $345 12.53 abi $598 8.99 kaila $812 15.29 shenika $208 7.67 which statement must be true?
We can see that while Shenika has a mean of $208 and a standard deviation of 7.67, Clarissa has a mean of $345 and a standard deviation of 12.53. This simply means that monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Answer:
A - The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Step-by-step explanation:
edge
You are presented with 9 coins from an archeological dig near the highlands of Tibet. One of them contains a precious jewel that can make you extremely wealthy. The coin with the jewel is slightly heavier than the others, the other eight are identical. You can only choose once so you are given 2 scales so that you can weigh the coins. Here’s the dilemma, each balance scale can only be weighed once. Is it possible to select the slightly heavier coin containing the jewel using each of the two scales only once? Explain why or why not
Answer:
no
Step-by-step explanation:
Your swim team competes in the 200-meter freestyle relay. The individual times for the four team members are 27.81, 26.89, 26.55, and 25.48 seconds. What is the total relay time for the team?
Answer:
106.73
Step-by-step explanation:
ABCD is a rectangle. Find the measure of the following angles (select an answer for each row)
Answer:
Angle 1 - 24 degrees
Angle 2 - 48 degrees
Angle 3 - 66 degrees
Angle 4 - 66 degrees
Angle 5 - 24 degrees
Angle 6 - 66 degrees
Angle 7 - 132 degrees
Step-by-step explanation:
I wanted to get this too you as fast as possible. I will add a detailed explanation in the comments.
cc is guaranteed the larger of $500 per week or 7% of sales. last week she 4 sold $6785. How much was her check for?
Answer:
Step-by-step explanation:
6785*7%=474.95 in commission
500 per week salary is more
Answer:
6785*7%= 474.95
Step-by-step explanation:
Hope this helps
Lemme know
Ms. Zerngast’s favorite candy is a snickers bar. It costs 7.80$ for 6 large snickers candy bars. She likes to buy them at our local center market. How many candy bars can Ms.Zerngast buy for $18.20
Answer:
14 bars
Step-by-step explanation:
Mark me brainliest plz
Solve
493 km 43 m + 17 km 57 m
What is this answer
Answer:
510.1
Step-by-step explanation:
convert m to km by dividing by 1000 and add all of the numbers together
If mLP = 17 in., and mNP = 4 cm, mLN = ____ ??
Answer: 13
Step-by-step explanation: 17-4=13
What is 6-124+9?????
Answer:
the answer is -109
:)
Answer:
-109
Step-by-step explanation:
Increase £761 by 77%. Give your answer to 2 DP
Answer:
£1346.97Step-by-step explanation:
Step one
given the amount £761
we are asked to increase this amount by 77%
let us first find 77% of the amount £761
=77/100*761
=0.77*761
= £585.97
Step two:
Hence 77% of £761 is £585.97
therefore the increase will be to add the two amounts together
=£585.97+£761
=£1346.97
Which of the four Venn diagrams represents this?
Answer:
A i think
Step-by-step explanation:
....... X U Y
means x united y
which is both x and y
Here, Option D is the right answer in the given Venn diagram.
What is Venn diagram?
A Venn diagram is a diagram that represents the logical relation between two or more sets.
Y' represents everything except Y inside the box.
When we do X ∪ Y', it will represent the total area inside the box where only Y is not there.
Hence, Option D is right answer.
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Slope is -2/3 and (-6,-5) is on the line
Explain correctly equation
Answer:
y= -2/3x - 9
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)= -2/3(x-(-6)
y+5=-2/3(x+6)
y+5= -2/3x - 4
y= -2/3x - 9
Kelly was building a bed for her dollhouse. She used her bed, which is 4 feet × 6 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5 . What are the dimensions of the model bed she built?
0.8 foot × 1.2 feet
0.4 foot × 0.6 foot
0.08 foot × 0.12 foot
0.04 foot × 0.06 foot
Answer:
The first one
Step-by-step explanation:
1/5 =0.20
0.20 * 4 = 0.8 feet
0.20 * 6 = 1.2 feet
plzz help pythagorean theorem
Answer:
very easy 65inches
Step-by-step explanation:
follow me
Find m∠XYZ in the figure if ∠XYZ and ∠PQR are supplementary angles.
Question 5 options:
A)
83°
B)
7°
C)
97°
D)
173°
Answer: C
Step-by-step explanation:
Supplementary angles add up to 180
x + 83 = 180
x= 97
Write the expression 5X(X + 9) - 7(x + 9) in complete factored form.
A (x+9)(x + 9)
B. (5x-7)(x + 9)
C. (5x-7)(x+9)(x + 9)
D. (5x2 + 45X)(-7x - 63)
Answer:
B
Step-by-step explanation:
Jalaaalalaalalalaal
Answer: B
Step-by-step explanation:
just passed
What’s are the answers for parts A and B
Step-by-step explanation:
hope this helps, happy learning!!!
rewrite 4^-3 using a positive exponent an evaluate the result.
Answer: 1/4³
Step-by-step explanation:
When finding the negative exponent of a number, you turn it into a fraction, with the numerator being 1, and the denominator being the base of the exponent, and the exponent being positive.
Examples:
2^-2 = 1/2²
3^-3 = 1/3³
4^-4 = 1/4⁴