Answer:
x=3.50
Step-by-step explanation:
6(x+7.50)=4(2x+9.50)
6x+45=8x+38
6x-8x=38-45
-2x = -7
x = -7/-2
x = 3.50
help me pls...........
Hello,
We need first to know what's a gradient. The Gradient (also called Slope) of a straight line shows how steep a straight line is.
But how do we find the slope (or Gradient) from two points ?
For exemple, let's find the gradient of the two points PQ...
Method
1. We need the coordinates of the point P, and the point Q :
P = (6 ; -11)
Q = (k ; -9)
2. The slope is the change in height divided by the change in horizontal distance.
In other words we :
a) subtract the x values
b) subtract the y values
c) divide
Application for PQ
subtract x values : xQ - xP = k - 6
subtract the y values : yQ - yP = -9 - (-11) = -9 + 11 = 2
divide : (k-6) / 2
That is the gradient of PQ.. Now let us find the gradient of PR
Application for PR
subtract x values : xR - xP = 2k - 6
subtract the y values : yR - yP = -3 - (-11) = -3 + 11 = 8
divide : (2k-6)/8
That is the gradient of PR.
We know that by assumption, gradient of PQ = gradient of PR, what is the value of k ? Well, we simply need to solve an equation here :
gradient of PQ = gradient of PR
(k-6) / 2 = (2k - 6) / 8
k-6 = (4k - 12)/8 (we have multiplied by 2 on each sides of the equation)
8k - 48 = 4k - 12 (we have multiplied by 8 on each sides of the equation)
8k - 4k = - 12 + 48
4k = 36
k = 36 / 4 = 9
So the value of k in order for the two gradients to be equals needs to be equal to 9
Good luck
An unopened cereal box contains 15/28 cubic foot of cereal. If the box is full, and the length and height of the box are 5/7 foot and 1 1/2 feet, respectively, what is the width of the box?
Answer: the answer is 1/2
Step-by-step explanation:
Equation
Graph
y = 2x +
y=-*x+2
y = –20 - 3
y = 3x - 2
Answer:
I had to interpret y=-*x+2 and y = –20 - 3:
y = -x+2 and y=-20x-3
Graph the equations on DESMOS. The result is attached.
Step-by-step explanation:
Determine the number of solutions you will have for the system: 1/3x+y=2 and 3y=6-x
One solution.
No solutions.
Infinite solutions.
Impossible to determine.
Answer:
infinity solution
solution:
-x-3y=-6
x+3y=6
if 3x+4y=11 and xy=2 solve simultaneously
Answer:
(1, 2 ) and ([tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )
Step-by-step explanation:
3x + 4y = 11 → (1)
xy = 2 ( divide both sides by y , y ≠ 0 )
x = [tex]\frac{2}{y}[/tex] → (2)
Substitute x = [tex]\frac{2}{y}[/tex] into (1)
3([tex]\frac{2}{y}[/tex] ) + 4y = 11
[tex]\frac{6}{y}[/tex] + 4y = 11 ( multiply through by y )
6 + 4y² = 11y ( subtract 11y from both sides )
4y² - 11y + 6 = 0
Consider the factors of the product of the y² term and the constant term which sum to give the coefficient of the y- term
product = 4 × 6 = 24 and sum = - 11
The factors are - 8 and - 3
Use these factors to split the y- term
4y² - 8y - 3y + 6 = 0 ( factor first/second and third/fourth terms )
4y(y - 2) - 3(y - 2) = 0 ← factor out (y - 2) from each term
(y - 2)(4y - 3) = 0
Equate each factor to zero and solve for y
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]
y - 2 = 0 ⇒ y = 2
Substitute these values into (2)
y = 2 : x = [tex]\frac{2}{2}[/tex] = 1 ⇒ (1, 2 )
y = [tex]\frac{3}{4}[/tex] : x = [tex]\frac{2}{\frac{3}{4} }[/tex] = 2 × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ⇒ ( [tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )
John's father spent 2 hours and 55 minutes working on his truck if it was 4:55 when he stopped what time did he start
Answer:
2
Step-by-step explanation:
4-2=2
55-55=0
so:
2:00
Simplify.
36x4y6z2
12xy8z2
Answer:
(36/12)×(4y/8y)×(z2/z2)×6×(x/x)=
3× 1/2 ×6
3/2×6=9
simplify:...... (3x⁴)³
Answer:
27[tex]x^{12}[/tex]
Step-by-step explanation:
Long way: 3x^4)^3 means that 3x^4 will be multiply by itself three times
[tex](3x^{4})^3 = (3x^{4})(3x^{4} )(3x^{4} ) =27x^{12}[/tex]
Short way [tex]3^{3}[/tex] ([tex]x^{4(3)}[/tex] ) = 27[tex]x^{12}[/tex]
find the approximate measure of the missing length
Answer:
b= 20.8
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
a= 12
b= ?
c= 24
Equation: 12²+b²=24²
12²= 144
24²= 576
New equation: 144+b²=576
Find b: 576-144=432
[tex]\sqrt432[/tex]= 20.7846097
Round to nearest tenths: 20.8
b= 20.8
Check answer:
144+432=576
Correct!
A line includes the points (8,6) and (6, 10). What is its equation in point-slope form?
Answer:
-2
Step-by-step explanation:
-4/2
or -2
yeah- ya. right?
simplify if y<0.
[tex]-\sqrt{9y^{2} }[/tex]
Answer:
-3y
Step-by-step explanation:
Whether y is smaller than 0 or not, the square root of y^2 is y, a positive quantity.
Thus, -√(9y²) = -3y
Answer
It's actually 3y instead of -3y.
BTW, anybody from RSM
Brian drove 638 miles in 11 hours.
At the same rate, how long would it take him to drive 754 miles?
Answer: 638 x= 754*11
638 x= 8294 then divide by both sides by 638
x = 13
she will drive 754 miles in 13 hrs.
Step-by-step explanation:
brainliest me
graph the f(x)=(x+2)^2+3
Answer:
am also not sure
Step-by-step explanation:
A cell phone company charges a monthly fee plus $0.25 for each text message you send. The monthly fee is $30.00 . You owe $59.50. How many text messages did you send?
Answer:
Excluding the monthly fee of $30 dollars.
Step-by-step explanation:
$30-$59.50 = $29.50
multiply $0.25 by 118 and you'll get exactly $29.50
the answer is " I sent 118 Text messages "
Could someone help, please don't put any links!
Thanks!
Answer:
1. D (9/12)
2. B (1/4)
3. C (2^4x3x5)
Step-by-step explanation:
Hope this helps
Answer:
1) D 9/12
2) B 1/4
3) C 2^4 * 3 * 5
Step-by-step explanation:
1)
1/2 = 6/12
5/6 = 10/12
6/12 < 9/12 < 10/12, this is true.
2)
Although the visual representation doesn't give us exactly what the portion of each slice is, we can determine that the pizza is split into four equal slices. One of the slices is cut down even further, however, that doesn't change the fact that each of the other three pizza slices is 1/4. So the greatest pizza slice is equivalent to 1/4 of the pizza.
3)
Factor out 240:
240 = 120 x 2
120 = 60 x 2
60 = 30 x 2
30 = 15 x 2
15 = 5 x 3
2 x 2 x 2 x 2 x 3 x 5
Multiple the 2's together to get the following equation:
[tex]2^{4} * 3 * 5[/tex]
Please help me please
Answer:
Step-by-step explanation:
Answer:
m +2 = 4
m = 2
x = 1
y +1 = 2
y = 1
z = -1
Select the correct answer.
Which expression is equivalent to 27x^4/x^2? Assume that the denominator does not equal zero.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression is ~
[tex] \boxed{27 {x}^{2} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex] \dfrac{27 {x}^{4} }{ {x}^{2} } [/tex][tex] \dfrac{27 \times x \times x \times x \times x}{x \times x} [/tex][tex]{27 \times x \times x}[/tex][tex]27 {x}^{2} [/tex]solve for x, find the measure of all angles.
Answer:
x = 14
angles are 96, 42, 42
Step-by-step explanation:
sum of all angles in a triangle is 180
3x + 3x + 96 = 180
6x + 96 = 180
6x = 180 - 96
6x = 84
x = 14
angles are 96, 3x, 3x
96, 3*14, 3*14
96, 42, 42
Answer:
x=14
Step-by-step explanation:
3x + 3x + 96 = 180º
6x +96º = 180º
6x = 180º - 96º
6x= 84
x = 14
help please!! I don't get it :(
Answer:
90 degree
Step-by-step explanation:
49 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost?
Answer:
4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
4.5
PLEASE HELP I WILL MARK BRANLIEST
Prove triangles below congruent by SSS, SAS, AAS, ASA, or HL. If not congruent choose NC. (multiple choice)
ASA
HL
NC
SSS
AAS
SAS
Answer:
SAS
Step-by-step explanation:
We must prove that triangles ABC and EDC are congruent.
Since BD bisects AE, then AC is congruent with CE.
Since AE bisects BD, then BC is congruent with CD
Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.
Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.
Answer: SAS
what is the verbal expression for 6f^2+5f
Answer:
f = 5/6 = 0.833 or f = 0
Step-by-step explanation:
1. There are 216 employees in a store. The ratio of men to women is 5:7. How many men and how many women work at the store? 2. A car traveled 180 miles in 3 hours. Assuming the car's speed was constant, at what unit rate did the car travel, in miles per hour?
Answer:
2. the car drove at 60 miles per hour
Step-by-step explanation:
:)
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan. How much interest will Amy pay?
Answer:
105
Step-by-step explanation:
1,000 divided by 3.5% is 35
35 x 3 is 105
Since you are just asking for just the interest and not the total the answer is 105
The interest that Amy should pay is $105.
Given that,
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan.Based on the above information, the calculation is as follows:
[tex]= 1000 \times 3.5\% \times 3[/tex]
= 105
Learn more: https://brainly.com/question/14279491?referrer=searchResults
June has 30 days. A family of 3 used 3,960 gallons of water during the month of June. How many gallons of water did each person use each day.
Answer:
44 gallons
Step-by-step explanation:
3960/3=1320
Each person used 1320 in one month
1320/30=44
Amount of person used / 30 days = gallons used each day
what is the sum of 5.4 + (-9.7)
Answer:
-4.3
Step-by-step explanation:
what is the slope of (10,8) and (1,9)
Answer:
1/-9 or -0.111(repeating)
Step-by-step explanation:
Answer:
(1,9)
Over to the right one. then up nine of a graph
I don’t understand what’s it asking for and I don’t know the answer
Answer:
y_1=9(x_8)
y_1=9x_72
9x_y=71
9x_y_71=0
hospital in California is keeping track of the weight of a newborn baby. A newborn baby gains an average of 1.5 ounces per day. One baby currently weighs 72 ounces. Write an algebraic equation that describes the relationship between the number of days (d) and the total weight of the baby (w).
Fill in the blank for
w =
On average, a newborn drinks about 1.5-3 ounces (45-90 milliliters) every 2-3 hours
4. Here are the steps Tyler took to solve the equation Vx+3 = -5.
Vx+3=-5
+ 3
x + 3 = 25
x= 22
a. Check Tyler's answer: Is the equation true if x = 22? Explain or show your
reasoning.
b. What mistake did Tyler make?
Answer:
vx=-5-3
Step-by-step explanation:
vx=,-8 oooooooookkk