Answer:
X = 1
Step-by-step explanation:
1) Move the 3x to the left hand side and change its sign:
4x-19+3x=-12
2) Move 19 to the right hand side and change its sign:
4x+3x=-12+19
3) collect the like terms:
4x+3x= 7x
-12+19= 7
4) Divide both sides by 7
X = 1
Answer:
4x − 19 = −3x − 12
Let's first get rid of any constants, either from the left or right side.
I'll start with the left, by using the inverse operations.
The inverse operation of subtraction (since 19 is negative) is addition.
So, we add 19 to both sides.
Remember that whenever we use inverse operations we need to do the same for the other side, consequently both sides.
+19 +19
Now, we'll end up with:
4x = -3x + 7
Let's get rid of other terms(grouping them), such as -3x.
We do this by adding 3x to both sides because the inverse operation of subtraction (since 3 is negative) is addition.
Add 3x to both sides,
+3x +3x
7x = 7
Get rid of the co-efficient of x, which is 7.
We do this by dividing by 7 from both sides since the inverse operation of multiplication (because 7 is being multiplied by x) is division.
Divide by 7 from both sides:
÷7 ÷7
x = 1, the value of x is 1.
a car uses 9 gallons of gasoline to go 162 miles. how many gallons of gasoline will the same car use to travel 216 miles?
Answer:
[tex]12\ gallons[/tex]
Step-by-step explanation:
Step 1: Determine the unit rate
[tex]Miles / Gallons[/tex]
[tex]162\ miles / 9\ gallons[/tex]
[tex]18\ miles/gallon[/tex]
Step 2: Determine the amount of gasoline used for 216 miles
[tex]216\ miles * (gallon / 18\ miles)[/tex]
[tex]12\ gallons[/tex]
Answer: [tex]12\ gallons[/tex]
Answer:
12
Step-by-step explanation:
1. Figure out how many miles the car can go with one gallon of gasolline
162 ÷ 9 = 18
1 gallon = 18 miles
2. Figure out how many times 18 can go into 216
216 ÷ 18 = 12
12 gallons = 216 miles
*We do this because we know that every time the car drives 18 miles its uses another gallon of gas.
The car will use 12 gallons of gasoline to travel 216 miles.
Hello people ~
factorise : 5x²+16x+3
Done!
Answer:
Step-by-step explanation:
Remark
If the trinomial is going to factor, it must factor as 5 and 1 paired with 3 and 1 as both 5 and 3 do not factor any further. They are prime numbers.
Let's try this:
(5x + 1) ( 1x + 3)
Both factors must contain an + otherwise something in the given equation would be - when the factors are expanded.
It looks like this works. 5 * 3x + 1x = 16x
Will mark brainlyest: What characteristic of the general quadratic equation below determines whether the corresponding graph has a vertical stretch? y = a(x - h)^2 + k
A: If k is positive
B: If " a " is less than zero
C: If k is negative
D: If :" a " is greater than 1
Answer:
D
Step-by-step explanation:
First of all, "k" has nothing to do with determining vertical shrink/stretch, and therefore A and C can be eliminated from the choices. A shrink occurs with a fractional "a" value, so "a" must be greater than 1 in order for a vertical stretch to occur.
18. What is an equation of the line that passes through the point (3, -1) and is perpendicular to the equation
y = -3x + 2?
A. y = -3x + 8
B. y = -3x
C. y = 1/3x
D. y = 1/3x - 2
CAN SOMEONE PLEASE SHOW ME HOW TO SLOVE THIS
Answer:
It’s D
Step-by-step explanation:
Answer:
D. y = 1/3x - 2Step-by-step explanation:
It mentions the new line is perpendicular to the original line.
New slope = -(1/-3) = 1/3It also mentions it passes through the point (3, -1).
Using point-slope form of equation,
y + 1 = 1/3(x - 3)y + 1 = 1/3x - 1y = 1/3x - 2If 840 CLASS eighth graders, making up 4/5 of total eighth, studied algebra during summer, how many eighth graders are enrolled with CLASS
Answer:
1008
Step-by-step explanation:
If 4/5 of eighth graders, or 80%, are enrolled with class, there are still 20% of students that didn't study. That means you add 168, the 20%, and you'll get 1008.
can someone help me please
Answer: area
Step-by-step explanation:
Area is solved with L * W
Volume is solved with L * W * H
Using these formulas we can see that area uses 2-dimensions, the length and the width, while volume uses 3.
Answer:
Area.
Step-by-step explanation:
2 dimentional spaces have only area, and no volume. Volume describes the amount of space within the container
The circumference of a circle is 59.032 centimeters. What is the circle's radius?
Answer:
9.4
Step-by-step explanation:
I used r=C/2π as the formula
The radius of a circle is 1 kilometer. What is the circle's area?
Use 3. 14 for . Square kilometers
Answer:
3.14km^2
Step-by-step explanation:
area of circle= πr^2
=3.14×1^2
=3.14km^2
Answer:
[tex]\boxed{\sf{3.14\ km^2}}[/tex]Step-by-step explanation:
Given:
Use the formula of area of circle.Area of circle:
[tex]\Longrightarrow: \sf{A=\pi r^2}[/tex]
Solutions:
Radius of a circle is 1 kilometer.[tex]\Longrightarrow: \sf{3.14*1^2}[/tex]
Solve.
[tex]\sf{1^2=1*1=1}[/tex]
[tex]\sf{3.14*1=\boxed{\sf{3.14\ km^2}}[/tex]
Therefore, the correct answer is 3.14km².I hope this helps, let me know if you have any questions.
4
Adam's
age is 3 years and 6 months.
Zara's age is 2 years and 11 months.
.
Write Adam's age in months as a fraction of Zara's age in months.
Give your fraction in its simplest form.
The question is an illustration of fraction division and Adam's age as a fraction of Zara's age is 7/5
How to represent the age as a fraction?The ages are given as:
Adam = 3 years and 6 months
Zara = 2 years and 11 months
Rewrite the ages in months
Adam = 3 * 12 + 6 = 42 months
Zara = 2 * 12 + 11 = 35 months
Adam's age as a fraction of Zara's age is calculated using:
Fraction = Adam/Zara
This gives
Fraction = 42/35
Simplify
Fraction = 7/5
Hence, Adam's age as a fraction of Zara's age is 7/5
Read more about fractions at:
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Consider the triangle
What is the value for x?
yº
25°
90°
What is the value for y?
--
please hurry!
add the degrees 90 and 25 which gives 115° and subtract to give 65°
I am subtracting by 180 because angle on a straight line is 180 hope this helps
Answer: y is 155⁰ X is 65⁰
Step-by-step explanation: y = 180⁰ - 25⁰
X = 180⁰ - (90 + 25) = 180 - 115= 65
Straight line triangle is 180
Total angle in a triangle 180
Cross out the numbers below that are NOT equivalent to 500.0.
500.00 5 × 10 5 × 102 50.05 500.500
Answer:
500.00 equal
5 × 10 not equal
5 × 10² equal
50.05 not equal
500.500 not equal
please help me 50 points
angle 3 = angle 6 = 60°
hope it helps...!!!
Answer:
m∠3 = 60°
m∠6 = 60°
Step-by-step explanation:
If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent. This is called the "Alternate Interior Angles Theorem".
As line p intersects the set of parallel lines m and n at two distinct points, then m∠3 = m∠6 and m∠4 = m∠5
Given:
m∠3 = (7x - 10)°m∠6 = (5x + 10)°As m∠3 = m∠6, then:
⇒ 7x - 10 = 5x + 10
Add 10 to both sides:
⇒ 7x - 10 + 10 = 5x + 10 + 10
⇒ 7x = 5x + 20
Subtract 5x from both sides:
⇒ 7x - 5x = 5x + 20 - 5x
⇒ 2x = 20
Divide both sides by 2:
⇒ 2x ÷ 2 = 20 ÷ 2
⇒ x = 10
Now substitute the found value of x into one of the angle expressions:
m∠3 = 7(10) - 10
= 70 - 10
= 60°
As m∠3 = m∠6, then m∠6 = 60°
If carol travels 4 miles and her car averages 28 miles per hour, how long will it take carol to complete the distance? Express this situation in an equation, making t the variable of time
Answer: t= Distance/Speed = 4/28= 1/7
Step-by-step explanation:
Speed is 28miles /hr
Distance = 4miles
Distance = Speed × time
Time(t) = Distance /Speed
s - 19 = 2 PLEASE HELP
Answer:
S = 21
Step-by-step explanation:
21 - 19 = 2
Answer:
S=21
Step-by-step explanation: 21-19=2
58°
47°
Find the value of x
Step-by-step explanation:
The question is not complete or correct
five the equation of line that is perpendicular to f(x)=-2x+1 that goes through point (0,5)
Answer:
y = [tex]\frac{1}{2}[/tex] x + 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
f(x) = - 2x + 1 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c
the line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = [tex]\frac{1}{2}[/tex] x + 5 ← equation of perpendicular line
Quick please I need this before I go
Answer:
143/63 or 2 and 17/63
Step-by-step explanation:
multiply the length times the width
13/9 x 11/7
A golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 160 ft/sec.
The horizontal distance that's traveled by the golf ball based on the velocity given is 138.56feet.
How to compute the distance?From the information given, the golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 160 ft/sec.
The distance will be:
= 160 × cos30°
=160 × 0.866
= 138.56 feet
Learn more about velocity on:
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Counselors at Rockport High School and Riverdale High School surveyed the graduating seniors to find out their post-high-school plans. Each student plans to attend college, attend technical school, join the military, or go right into the workforce. The results of the survey are shown in the table.
The percentage shows that they were 28% more likely to come from Riverdale High school.
How to calculate the percentage?From the information given, the percentage of those from Rockport will be:
= 25/(25 + 44) × 100.
= 25/69 × 100
= 36.23%
The percentage of those from Riverdale will be:
= 44/(25 + 44) × 100.
= 44/69 × 100
= 63.77%
Therefore, the difference will be:
= 63.77% - 36.23%
= 28% approximately.
Learn more about percentages on:
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help me with this one
I need full explanation
50 points+ Brainliest !??
Answer as fast as possible..
The answer is there all I need is the process
This is the answer of your question
What is the slope of the line?
Answer:
1/3
Step-by-step explanation:
Slope is rise over run.
Pick a point and count how many steps up and how many steps to the right you need to make to get to the next point. That's how you find slope.
I need help asap T>T
Answer:
3.4 yards cubed
Step-by-step explanation:
Volume is length x width x height
Length 2 4/5, Width 2, Height 3/5 so 2 4/5 x 2 x 3/5
It looks like they want the answer in decimal form, so you can convert the fractions into decimals.
For the length 2 4/5, you divide the 4 by 5 to get a decimal of .8 so now it's 2.8
For the height of 3/5, you divide the 3/5 & get .6
Now it's 2.8 x 2 x .6 = 3.36 yards cubed which could get rounded up to 3.4 yards cubed
Which term of the AP 2,8,14,20..... Will be 210 more than it's 60th term?
Answer:
95th term
Step-by-step explanation:
the nth term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 2 and d = a₂ - a₁ = 8 - 2 = 6 , then
[tex]a_{n}[/tex] = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4
the 60th term is then
a₆₀ = 6(60) - 4 = 360 - 4 = 356
so 210 more than a₆₀ = 356 + 210 = 566
now equate [tex]a_{n}[/tex] to 566 and solve for n
6n - 4 = 566 ( add 4 to both sides )
6n = 570 ( divide both sides by 6 )
n = 95
Answer:
95th term.
Step-by-step explanation:
The sequence of 2, 8, 14, 20 . . . can be predicted by adding 6 to each successive term. This can be written as 6n+2, where n starts at 0 for the first term.
n Value (6n+2)
0 2
1 8
2 14
3 20
4 26
60 362
---
We want to know what term is 210 more than 362. (362+ 210) = 572
We can solve by using the equation in reverse and solving for n:
(6n+2) = 572
6n = 570
n = 95
The 95th term (572) is greater than the 60th term (362) by 210.
Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.
Which describes the number of months it will take to pay off the debt? Select three options.
x + 15 + 35 = 155
35 x + 15 = 155
35 x = 155 minus 15
It will take 8 months to pay off the debt.
It will take 4 months to pay off the debt.
Pls help! Due soon offering 15 pointss! :)
Answer:
E.
Step-by-step explanation:
Answer: (-12, -14), (-7, -4), (-1, 5), (0, -2), (3, 3), and (30, 5).
Step-by-step explanation: The following image should help you with your question if you're still confused.
Hope this helps! :)
Sammy plans to build a kite He has two rods of lengths 4 feet and 3 feet Find the area of the material he will need to cover the kite A: 7 ft2
B: 3 ft2
C: 6 ft2
D: 12 ft2
I need help with trigonometry hw
Answer
See in pic
Step-by-step explanation:
Find the first four terms, in thousands, of the geometric series. round to the nearest thousand. a1 = a2 = a3 = a4 =
The geometric series an = 400(1.05)^(n-1) has a common ratio and an initial term
The first four terms are a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05
How to determine the first four terms?The geometric series is given as:
an = 400(1.05)^(n-1)
Substitute 1 for n
a1 = 400 * (1.05)^(1-1)
Evaluate the product
a1 = 400
Substitute 2 for n
a2 = 400 * (1.05)^(2-1)
Evaluate the product
a2 = 420
Substitute 3 for n
a3 = 400 * (1.05)^(3-1)
Evaluate the product
a3 = 441
Substitute 4 for n
a4 = 400 * (1.05)^(4-1)
Evaluate the product
a4 = 463.05
Hence, the first four terms are
a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05
Read more about geometric series at:
https://brainly.com/question/24643676
Answer:
a1 = 400
a2 = 420
a3 = 441
a4 = 463
C
Step-by-step explanation:
how do you get from 24 to a hundred
Please help!! Will mark brainlyest.
Answer
B
Step-by-step explanation
Please give me brainlist.