Step-by-step explanation:
Slope of this line and its parallel line is equal
slope = - a / b
= - 6 / 5
Slope of a perpendicular line = 5 / 6
Solve for x:
5x - (x + 4) + 1 = 3 - 2(x + 6)
Answer:
x = -1
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x - (x + 4) + 1 = 3 - 2(x + 6)
Step 2: Solve for x
Distribute: 5x - x - 4 + 1 = 3 - 2x - 12Combine like terms: 4x - 3 = -2x - 9Add 2x on both sides: 6x - 3 = -9Add 3 to both sides: 6x = -6Divide both sides by 6: x = -1Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-1) - (-1 + 4) + 1 = 3 - 2(-1 + 6)Parenthesis (Add): 5(-1) - 3 + 1 = 3 - 2(5)Multiply: -5 - 3 + 1 = 3 - 10Subtract: -8 + 1 = -7Add: -7 = -7write the equation for the graph. make sure to include + or - signs to indicate if your number is positive or negative
Answer:
- 3 and - 2
Step-by-step explanation:
y = | x - 3 | - 2
Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/8
a.
21°
b.
22°
c.
68°
d.
37°
Answer: A
Step-by-step explanation:
I plugged 3/8 into an inverse tangent calculator and got this answer.
What percent of 100 is 67? *
(1) 100%
(2) 67%
(3) 167%
(4) 33%
67%
Convert fraction (ratio) 67 / 100 Answer: 67%
What Is Science?
100% (3/3)
Earth and Space Systems
67% (2/3)
Gravity's Role in the Universe
67% (2/3)
Interactions of the Earth, Moon, and Sun
67% (2/3)
Planets and Moons
100% (3/3)
Stars, Asteroids, and Comets
67% (2/3)
Energy Flow
100% (3/3)
Weathering and Erosion
100% (3/3)
The Rock Cycle
100% (3/3)
Plate Tectonics
100% (3/3)
Earth's Changing Surface
100% (3/3)
Matter and Energy
100% (3/3)
The Cycles of Earth
100% (3/3)
Natural Resources
100% (3/3)
Carlos is making party favors. Every bag has exactly the same treats in it. Carlos has 96 granola bars and 64 popcorn balls. What is the greatest number of party favors Carlos can make?
Answer:
32
Step-by-step explanation:
Given that:
Number of granola bars = 96
Number of popcorn balls = 64
Greatest number of party favors that can be made from granola bars and popcorn balls ;
Obtain the greatest common factor of both 96 and 64
Factors of :
96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
64 : 2, 4, 8, 16,32
greatest common factor is 32,
Hence, greatest number of party favors that can be made is 32
Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multiply 6 by 4 or divide 6 by 4 to find her answer. What should she do? Explain or show your reasoning.
Given:
There are 4 quarts in a gallon.
She wants to convert 6 quarts to a gallon.
To find:
Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.
Solution:
We have,
[tex]4\text{ quarts}=1\text{ gallon}[/tex]
[tex]1\text{ quarts}=\dfrac{1}{4}\text{ gallon}[/tex]
[tex]6\text{ quarts}=\dfrac{6}{4}\text{ gallon}[/tex]
Here, 6 quarts is equal to [tex]\dfrac{6}{4}[/tex] gallon. It means we need to multiply 6 by 4 in [tex]4\text{ quarts}=1\text{ gallon}[/tex] to find the answer.
2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4. Which transformation maps the large triangle onto the small triangle?
Answer:
The transformation is 0.5
Step-by-step explanation:
The lengths of the second triangle is just half the length of the first triangle, from the center. As it is just resizing, the angles would not change, resulting in the same triangle, except for size.
Answer:
A- Dilation
Step-by-step explanation:
It doubles the length for all sides of the small traingle.
The quotient of 4 ÷ 7 is a decimal number .How many digits in the quotient are overlined?
Answer:
2 digits in the quotient are overlined
Rearrange to make x the subject: 3x+8= has x+6y
Answer:
x=3y-4
Step-by-step explanation:
3x+8=x+6y
so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.
2x+8=6y
now we want x alone on one side so we subtract 8 on both sides.
2x=6y-8
divide by 2
x=3y-4
Answer:
x = 3y - 4
Step-by-step explanation:
Given
3x + 8 = x + 6y ( subtract x from both sides )
2x + 8 = 6y ( subtract 8 from both sides )
2x = 6y - 8 ( divide all terms by 2 )
x = 3y - 4
Find the slope of the line through the given points: (1, 5) & (4, 7).
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Find slope using the slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Plug in the given points : [tex]\frac{7-5}{4-1}[/tex]
Calculate by subtracting the numbers : [tex]\frac{2}{3}[/tex]
Solution : [tex]\frac{2}{3}[/tex]
pls help me in this
[tex]A=\frac{3\sqrt{3}}{2}(8)^2=\boxed{96\sqrt{3} \text{ cm}^2}[/tex]
what has the product of 54 and sum of -15
Answer:
It should be
product = -9 and sum = -6
Step-by-step explanation:
Your welcome
PLZZZZ HELPPPP THIS IS TIMED!!!
Are the two figures below similar?
A No, the sides are not proportional.
B Yes, the sides are proportional.
C Yes, the sides are congruent.
D No, the sides are not congruent.
Answer:
C. C Yes, the sides are congruent.
Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11
Answer:
A
Step-by-step explanation:
Use the method of completing the square to express in vertex form.
Given
y = x² - 6x + 11
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 11 , then
y = (x - 3)² + 2 → A
Answer:A
Step-by-step explanation:
(6h+8) - (3h+2) = 15
Answer:
h = 3
Step-by-step explanation:
This is the answer because:
1) Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps!
someone knows what number multiplied twice by the same can give me results 203!!!!!
Answer:
i will help you.......
3. Choose the correct statement below:
a) All natural numbers are whole numbers.
b) All whole numbers are natural numbers.
the window of a room is 20m long and 14m wide. if the carpenter works to put a metallic frame around it which cost Rs.120 per metre, then how much will the metallic frame cost.
Answer:
33,600
Step-by-step explanation:
length=20m
wide=14m
area= 28m²
1m= 28
cost = 120*28= rs33600 per m²
( -3) ^-5 = 1/x what is the value of x?
Answer:
x= -243
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable x.
Solve the system by elimination
-6x + 6y = 0
9x - 8y = 4
Answer:
Point form: (4, 4)
x = 4, y = 4
Mr. Hernandez bought 16 meters of chain-link fencing. The section of his yard that needs to be fenced is 50 feet long. Did Mr. Hernandez buy enough fencing or does he need more fencing? (1 meter = 3.28 feet)
Answer:
yes
Step-by-step explanation:
i multiply the 16 to the ratio of meters to feet and got 52.4934
The length of a piece of string with 4cm
cut off. Let s represent the unknown
length of string in cm.
Answer:
is this the full question?
Step-by-step explanation:
s - 4 cm represents the length of the piece of string after cutting off 4 cm. "s" is the unknown length.
A mathematical statement proving the equality of two expressions is known as an equation. Variables, constants and mathematical operations like addition, subtraction, multiplication, division and exponentiation are frequently included. Finding the value of the unknown variable that equalizes both sides of the equation is the aim of equation solving.
Let s = the unknown length of the string in cm.
the length of the string with 4 cm cut off:
The equation "s - 4 cm" represents the length of the string after cutting off 4 cm. "s" is the unknown length that needs to be determined.
learn more about equation here
brainly.com/question/33622350
#SPJ2
The complete question is- Write in a shorter way form of equation: a The length of a piece of string with 4cm cut off. Let s represent the unknown length of string in cm.
answer this i need it quick PLEASE
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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]
[tex]13x - 37 = 4x + 26[/tex]
Subtract sides 4x
[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]
[tex]9x - 37 = 26[/tex]
Add sides 37
[tex]9x - 37 + 37 = 26 + 37[/tex]
[tex]9x = 63[/tex]
Divide sides by 9
[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]
[tex]x = 7[/tex]
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[tex]DE = 2x + 13[/tex]
[tex]DE = 2(7) + 13[/tex]
[tex]DE = 14 + 13[/tex]
[tex]DE = 27[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is Option four .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Hannah's favorite cereal comes in 2 sizes:
775 grams for $6.45 and
400 grams for $3.15.
Which is the better buy? Why?
Please Helpp Asap It’s due Tomorrow
Answer:
y = 2.5
Step-by-step explanation:
if y = 0
x= 2.5
u do the y as 0 and x as 2.5
and then draw a straight line
A cake recipe contains sugar and flour in the ratio 3 : 2.
How much of each ingredient is needed to make 600 gram of such a cake?
Answer:
360 g of sugar and 240 g of flour
Step-by-step explanation:
add the parts of the ratio, 3 + 2 = 5 parts
Divide the total by 5 to find the value of one part of the ratio.
600 g ÷ 5 = 120 g , thus
3 parts = 3 × 120 g = 360 g ← amount of sugar required
2 parts = 2 × 120 g = 240 g ← amount of flour required
Answer:
360 grams of sugar and 240 grams of flour
Step-by-step explanation:
First, find the sum of the parts of the ratio: 3 + 2 = 5
Divide the total amount (600) by the amount of parts:
600/5 = 120
Now multiply 120 by the amount of each part of the ratio:
210 * 3 = 360
360 * 2 = 240
360 grams of sugar and 240 grams of flour are needed to make 600 grams of a cake.
Hope this helps :)
Which of the following coordinates represents a solution to the equation 3x-2y=6?
3, -2
2, -3
0, -2
(0, -3)
Answer:
2,-3
Step-by-step explanation:
Given the figure above, determine
Answer:
The ∠B is 60*
Step-by-step explanation:
A road is 4/7
of a mile long. A crew needs to repave 4/7 of the road. How long is the section that needs to be repaved?
Write your answer in simplest form.
Answer:
hello
Step-by-step explanation:
please help me. It's urgent
Answer:
a) 7/5
Step-by-step explanation:
[tex]y-\frac{y-1}{2}=1-\frac{y-2}{3} \\Through\ the\ butterfly\ method\ of\ resolving\ denominators\ ,\\\frac{2y-(y-1)}{2} = \frac{3-(y-2)}{3} \\\frac{2y-y+1}{2} = \frac{3-y+2}{3} \\\frac{y+1}{2} =\frac{5-y}{3} \\3(y+1)=2(5-y)\\3y+3=10-2y\\3y+2y=10-3\\5y=7\\y=\frac{7}{5}[/tex]
