Answer:
-3
Step-by-step explanation:
this is because you subtract 4x from one side to get -3x +3= 12. then u get rid of the 3 so you subtract is and get -3x=9. therefore u get -3. (please don’t delete my answer when I take time out of my day to help you)
Simplify the expression 5(3x - 7 + 4y)
Answer:
15x - 35 + 20y
Step-by-step explanation:
Simplify. Distribute 5 to all terms within the parenthesis:
5(3x - 7 + 4y) =
5 * 3x = 15x
5 * -7 = -35
5 * 4y = 20y
15x - 35 + 20y is your answer.
~
A rectangular parcel of land has an area of 8,000 ft2. a diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. what are the dimensions of the land, correct to the nearest foot? ft (smaller value) by ft (larger value)
Answer:
Step-by-step explanation:
Let the area of the rectangle be Length × width
LW = 8000
If the diagonal is 10feer greater than one of its length then:
D = 10+L
Diagonal is represented using the Pythagoras theorem as shown:
D² = L²+W²
(10+L)²= L²+W²
100+20L +L² = L²+W²
From LW = 8000
W = 8000/L
100 + 20L = (8000/L)²
100 +20L = 64,000,000/L²
Cross multiply
100L² + 20L³ = 64,000,000
2L³+10L² = 6,400,000
L³+5L² = 3200000
L³+5L² -3200000 = 0
Answer:
55 ft by 146 ft
Step-by-step explanation:
Given the following :
Area of rectangle = 8000 ft^2
Area of rectangle = length(L) * width(W)
Let length of a side = x
Length of side 2 = 8000 / x
Diagonal = 10 feet longer than one side = (x + 10)
The diagonal is the hypotenus = (x + 10)²:
Hyp² = (8000/x)² + x²
(x + 10)² = (8000/x)² + x²
x² + 20x + 100 = 64,000,000 / x² + x²
20x + 100 = 64,000,000 / x²
(20x + 100) * x² = 64,000,000
20x³ + 100x² - 64,000,000 = 0
x³ + 5x² - 3200000 = 0
Using calculator
x = 145. 71 = 146 ft
8000 / x
8000/145.71
= 54.9 ft
= 55ft
55ft by 146 ft
One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent. Is the cost of gas greater in Buffalo or in Toronto? How much greater?
Answer:
-To find the cost of one gallon of gas in Toronto, you have to multiply the cost of one liter of gasoline for 3.8 as you know that there are 3.8 liters in one gallon:
$0.91*3.8=$3.46
This means that a gallon of gas cost $3.46 in Toronto.
-$3.46-$2.29=$1.17
Considering that one gallon of gasoline cost $2.29 in Buffalo and $3.46 in Toronto, the cost is greater in Buffalo. The cost is greater by $1.17.
r+ 4f when r=-6 and f=-5
Answer:
-26.
Step-by-step explanation:
Substitute the numbers and letters like this
-6 + (-5 x 4)
Which would evaluate to -6 + -20
And since it's the same sign, you can make it -6 - 20.
That equals -26.
Which two integers is 115 between?
Answer:
115 is between 114 and 116 because they are the integers that are directly bigger than 115 and smaller than 115.
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is 4 and the line passes through the point (1,8), which equation should be use to find the y-intercept and what is the y-intercept of the line?
Answer:
y = 4x + 4
Step-by-step explanation:
Plug in your x and y coordinates
8 = 4(1) + b
8 = 4 + b get your constants together by subtracting 4 from both sides
4 = b
Hope this helps
1. Jebrel borrowed $7000 from his friend. He saves $110 each month to pay
him back
a. How much will he have paid off at the beginning of the 1st, 2nd, 3rd, 4th and 5th
months? (Should this chart start with zero or 1)
b. Make a graph to represent the pattern from part a.
Answer 63
Step-by-step explanation:
it will take around 63 months
Answer:
1. 6890
2. 6790
3. 6670
4. 6560
5. 6450
Step-by-step explanation:
3x + 2y = 6 is an equation in standard form.
The value of y when x is 0 is
.
The value of x when y is 0 is
.
Answer:
The value of y when x is 0 is
3
The value of x when y is 0 is
2
Step-by-step explanation it correct on Edge
Answer:
The first one is 3 and the second one is 2
Step-by-step explanation:
Just took it
twice a number plus 4 is 8
Answer:
2
Step-by-step explanation:
Answer:
2 x 2 = 4 + 4 = 8
the number is 2
2(3x - 5) < 4X
Solve the inequality
Answer:
5 > x
Step-by-step explanation:
2(3x - 5) < 4x
~Distribute left side
6x - 10 < 4x
~Subtract 6x to both sides
-10 < -2x
~Divide -2 to both sides
5 > x
Best of Luck!
why is x=f(y) the inverse of f(x)?
Answer:
in finding the inverse of an equation, you just switch x and y, so f(x)=y becomes f(y)=x
AB¯¯¯¯¯is a radius. CD←→is tangent to circle A at point B, where AB=7 and EC=18. What is BC?
Circle with center point A. Radius AB is drawn. Tangent line CD is drawn and intersects the circle at point B. Segment AC is drawn from the center point A through point E on the circle to point C on line CD. The lengths of segments are not provided.
BC =
Answer:
BC is 24 units
Step-by-step explanation:
Given that: AB = 7 units
EC = 18 units
From a sketch for the question, we have a triangle ABC. Such that:
AC = AE + EC
But,
AE = AB = 7 (radius of the circle)
So that,
AC = 7 + 18
= 25 units
Applying Pythagoras theorem to triangle ABC, we have:
[tex]/AC/^{2}[/tex] = [tex]/AB/^{2}[/tex] + [tex]/BC/^{2}[/tex]
[tex]25^{2}[/tex] = [tex]7^{2}[/tex] + [tex]/BC/^{2}[/tex]
[tex]/BC/^{2}[/tex] = 625 - 49
= 576
BC = [tex]\sqrt{576}[/tex]
= 24
Thus, BC is 24 units.
I need help?? Not sure what I'm supposed to do here-
A sales associate at a computer electronics store
is given a choice of two different salary plans.
One plan pays a weekly salary of $180 with a
commission of $30 for every computer sold. The
other plan pays no salary but offers $75
commission on each computer sold. How many
computers must the sales associate sale to make
the same amount of money under both plans?
Answer:
the sales associate has to sell 4 computers to make the same amount of money under both plans
Step-by-step explanation:
y=money
x=computers sold
Plan 1: y=30x+180
Plan 2: y=75x
75x=30x+180
45x=180
x=4
a) The temperature in the morning was - 12º.
How many degrees warmer is - 9°?
Answer:
-3
Step-by-step explanation:
six years from now, mark we'll be four times his age today. what is correct equation in terms of Marc's present age A.x+6=4×B.x=4×+6C.4×=×-6D.x=x+4x
Answer: A
Step-by-step explanation: I'm in college. This is middle school math lol
A drivers distance varies directly as the amount of time traveled. After 6 hours, a driver had traveled 390 miles. How far had the driver traveled after 4 hours?
The distance traveled after 4 hours is 260 miles.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 9 = 9 is an equation.
We have,
Distance ∝ Time
Distance = K x Time
Now,
390 = 6K
K = 390/6
K = 65
Now,
Distance = 65 x 4
Distance = 260 miles
Thus,
After 4 hours the distance traveled is 260 miles.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
Which expression is equivalent to 4^5x4^-2
Answer:
4^3
Step-by-step explanation:
When you are multiplying exponents with the same base (for this problem the base is 4) you add together the exponents. It is kinda hard to explain but that is just a rule you can use. So, 4^(5+(-2))=4^3
Which statement is true about milliliters and liters?
There are 30 milliliters in 3 liters.
There are 300 milliliters in 3 liters.
There are 3,000 milliliters in 3 liters.
There are 3,000 liters in 3 milliliters.
Answer: Choice C) There are 3000 milliliters in 3 liters
mL is the abbreviation for milliliters
L is the abbreviation for liters
Since 1000 mL = 1 L, we can multiply both sides by 3 to get 3000 mL = 3 L
Maria and jamal each have gardens. The area of Maria's garden is represented by the expression 8x^2 - 3x. Jamal's garden is a rectangular plot with the width and length represented by the expressions 3x and 4x-2. Which expressions give how much bigger or smaller Jamal's garden is compared to Jessica's? Check all that apply. 4x^2-9x -4x^2+3x 4x^2-3x 12x^2-6x-8x^2-3x 12x^2-6x-8x^2+3x
Answer:
4x^2 - 2x
Step-by-step explanation:
Area of Maria's garden = 8x^2 - 4x
Jamal's garden
Width = 3x
Length = 4x - 2
Area of Jamal's garden = length × width
= (4x - 2) (3x)
= 12x^2 - 6x
Difference in area of Jamal's garden and Maria's garden
Jamal's garden - Maria's garden
(12x^2 - 6x) - (8x^2 - 4x)
12x^2 - 6x - 8x^2 + 4x
4x^2 - 2x
The difference is the areas of their garden is 4x^2 - 2x
Help me answer these questions please
Answer:
I need points im so sorry
Step-by-step explanation:
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what is x and y shown in the photo above?
Answer:
[tex]\huge\boxed{x = 11,\ y = 3}}[/tex]
Step-by-step explanation:
In order to find the value of x and y in this, we have to note a couple of angle relationships.
We know that angles [tex]13x-19[/tex] and [tex]9x+25[/tex] are the same because they are corresponding angles. This means that when a line intersects two parallel lines, the angles formed are congruent to the second line.
This means both expressions for the line will be equal to each other:
[tex]13x-19 = 9x+25[/tex]
We can now solve for x.
Add 19 to both sides:
[tex]13x = 9x+44[/tex]
Subtract 9x from both sides:
[tex]4x=44[/tex]
Divide both sides by 4:
[tex]x=11[/tex]
Now that we know that x = 11, we can use another angle relationship to find y.
We know that [tex]13x-19[/tex] and [tex]17y+5[/tex] are supplementary angles. This means their angle measurements add up to 180°.
Since we know the value of x, we can find the measure of the angle [tex]13x-19[/tex].
[tex]13(11) -19\\\\143-19\\\\124[/tex]
So the [tex]13x-19[/tex] angle is equal to 124 degrees. Since this and [tex]17y+5[/tex] are supplementary, that means [tex]17y+5[/tex] must be equal to [tex]180-124=56[/tex] degrees.
[tex]17y+5=56[/tex]
Subtract 5 from both sides:
[tex]17y=51[/tex]
Divide both sides by 17:
[tex]y=3[/tex]
So, x = 11 and y = 3.
Hope this helped!
Answer:
Y=3
X=11
Step-by-step explanation:
9x + 25 is = to 13x - 19 so you would do exactly that.
9x + 25 = 13x -19
-9x -9x
25 = 4x -19
+19 +19
44 = 4x
4 4
11 = x
9*11+25= 124
And 124 is not equal to 17y+5 so the equation would be
124 + 17y +5 = 180
124 + 5 = 130
129 + 17y = 180
-129 -129
17y = 51
17 17
Y= 3
V= Bh/3 solve for h.
Answer:
h=3v/b
Step-by-step explanation:
I'll give brainliest to whoever answers this
Answer:
I think it's 15 but I'm not so sure
Step-by-step explanation:
Cameron has 54 balls. He wants to put the same number of balls into each 9 buckets. Witch multiplication equation shows a way to represent the number of balls that should go in the bucket. 1. 9 x _ = 54 2. 9 x 54 = _ 3. 54 x _ = 9 4 . 9 x 9 = _
answer all 4 problems please help
Answer:
1. m=2/7
2. there are 25 students in her class
3. x=16
4. each notebook cost $2
Step-by-step explanation:
This is the equation for the distance from the oven to the point (x,y). True or false
Answer:
true
Step-by-step explanation:
What is the mistake??
There is still an negative you have to change the subtraction sign to an addition sign ALONG with the negative number
Answer:
The mistake was converting the expresssion
Step-by-step explanation:
Write in index form using powers of 10
1
Answer:
In standard index form a number is written firstly with a sign (if negative) followed ... by a power1 of 10. Powers of 10. Non-negative powers of 10. 100. 1. 101. 10.
Step-by-step explanation:i hope it helps
(Random question again)
(Logical Reasoning)
Which number should come next in the series, 48, 24, 12, ......?
a) 8
b) 6
c) 4
d) 2
Answer it if you can