Answer:
2.20 dollars/mile
Step-by-step explanation:
Given the function:
y = 4.75 + 2.20(x-1)
Before we get the rate of change of the cost, we need to write the expression in the form y = mx+c where;
m is the rate of change of the cost
From the function given:
y = 4.75 + 2.20(x-1)
Open the parenthesis
y = 4.75 + 2.20x -2.20
y = 2.20x + 2.55
On comparing with the standard
m = 2.20
Hence the rate of change of the cost in dollars with respect to the number of miles is 2.20 dollars/mile
Find the height of an equilateral triangle with side length 8.
Answer:
U need to just do
[tex] \sqrt{3 \div 4} a {}^{2} [/tex]
Answer:
4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
The segment from a vertex to the side opposite is a perpendicular bisector.
The equilateral Δ is divided into 2 right triangles with legs 8 and 4
let height be h, then using Pythagoras' identity
h² = 4² + 8² = 16 + 64 = 80 ( take the square root of both sides )
h = [tex]\sqrt{80}[/tex] = 4[tex]\sqrt{5}[/tex] ← exact value
What is the slope of a line that is perpendicular to the line in the graph?
Answer:
The slope of the required line is 1
Step-by-step explanation:
The Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The graph shows a line whose slope can be calculated by selecting two points it goes through. Let's pick points (0,0) and (2,-2). Thus the slope is:
[tex]\displaystyle m=\frac{-2-0}{2-0}=-1[/tex]
The slope (m') of a line that is perpendicular to the line in the graph can be found by using the equation:
m*m'=-1
Solving for m':
[tex]m'=-\frac{1}{m}=-\frac{1}{-1}=1[/tex]
Thus the slope of the required line is 1
find (4.54×10^8)-(3.98×10^8)
Answer:
[tex]5.6 *10^7[/tex]
Step-by-step explanation:
Given
[tex](4.54*10^8)-(3.98*10^8)[/tex]
Required
Solve
[tex](4.54*10^8)-(3.98*10^8)[/tex]
Apply distributive law of algebra
[tex](4.54 - 3.98) *10^8[/tex]
Evaluate the expression in bracket
[tex](0.56) *10^8[/tex]
Remove bracket
[tex]0.56 *10^8[/tex]
When a number is in standard form: [tex]a * 10^n[/tex]
The value of a must be: [tex]1 \le a \le 10[/tex]
So, the expression becomes:
[tex]5.6 *10^{-1}*10^8[/tex]
Apply law of indices
[tex]5.6 *10^{-1+8}[/tex]
[tex]5.6 *10^7[/tex]
15points
Which three side lengths best describe the triangle in the diagram?
A. 5 cm, 12 cm, and 13 cm
B. 5 cm, 10 cm, and 13 cm
C. 4 cm, 8 cm, and 12 cm
D. 7 cm, 12 cm, and 13 cm
Answer:
the answer is A
Step-by-step explanation:
A right triangle has a base of 6m and a height of 8m. The slant (hypotenuse) is 10m. What is the DIFFERENCE Between the area of this triangle and the perimeter of this triangle?
Answer:
Step-by-step explanation:
Perimeter=a+b+c=6+8+10=24 m
Area=1/2*a*b=1/2*6*8=24 m^2
What do you do to convert 0.02083 to 75 mph?
Answer: 120.7008 Kilometers per Hour
Factor the expression using the GCF. 44-11 I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
11(4-1)
Step-by-step explanation:
11 is the greatist common factor of 44 and 11 so you factor an 11 out of both terms
44/11=4
11/11=4
Therefore the answer is 11(4-1)
Hypotheses are______.
hypothesis is a guess that you test run.
what is the graph in slope intercept form
Answer: Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane.
Step-by-step explanation:
Answer:
Slope intercept form is y=mx+b which is m is slope and b is the y-intercept.
Step-by-step explanation:
Find the slope intercept equation of the line
Answer:
y=1/5x+0
Step-by-step explanation:
Consider the inequality x + 7 < 9. Select all the true statements.
Answer:
Step-by-step explanation:
here you go mate
step 1
x + 7 < 9 equation
step 2
x + 7 < 9 subtract -7
x+7(-7)<9(-7)
answer
x<2
8 in.
4 in.
10 in.
1
The area of the trapezoid is
square inches
Answer:
71
Step-by-step explanation:
i just want to ask a question sorry for not being helpful
Which of the binomials below is a factor of this trinomial?
x² + 5x-36
Answer:
A. x + 9
Step-by-step explanation:
x² + 5x - 36 = (x + 9) (x - 4)
PLEASE ANSWER ASASP!
-16(d + 1) = -20
what is d?
Answer:
d=1/4
Step-by-step explanation:
PLS ANSWER THIS ASAP THANK YOU AND I WILL GIVE YOU THANKS
10. One number is twenty more than eight times another number. The sum of the
numbers is eleven. Find the two numbers.
Answer:
the two numbers are 12 and -1.
Step-by-step explanation:
Let the large number be represented by x and the smaller number by y.
So that;
x = 8y + 20 .................. 1
x + y = 11 ................... 2
From equation 2,
x = 11 - y .......... 3
Substitute equation 3 into equation 1 to have,
11 - y = 8y + 20
11 - 20 = 8y + y
-9 = 9y
divide through by 9 to have,
y = -1
Substitute the value of y in equation 3,
x = 11 - (-1)
= 11 + 1
= 12
x = 12
x = 12, y = -1
The two numbers are 12 and -1.
I need help with this math question
Please help, I have no clue how to answer this.
Answer:
74-2c
Step-by-step explanation:
you know that craig's age is c. You multiply c by two, which is twice craig's age. Then you subtract that from c.
can someone explain because im confused
Answer:
I'm pretty sure it is yes
Step-by-step explanation:
7/1=7. 14/2=7. 21/3=7. 28/4=7. 35/5=7.
What fraction of an hour is 51 minutes?
Give your answer in its simplest form.
Answer:
0.850
Step-by-step explanation:
if im a bot, then, what are you?-
A company that makes hair care products have 6000 people China Chef poop of the 6000 people 48 had a mild allergic reaction..what is the percent of the people that had an allergic reaction
Answer:
5952
Step-by-step explanation:
6000
What’s 5,700 divided by 70
Answer:
81.4285714286
Step-by-step explanation:
Can someone plz help with this, this is one question, the choices for the first option are; coin, quartered spinner, number cube, or two coins. The choices for the second option are; 5, 4, 20, or 3. And the choices for the last option are; 1/5, 3/16, 3/256, or 1/256, plz help!!!
Answer:
Number cube, 5, and 3/16
What percentage of the shape is purple?
Write your answer using a percent sign (%).
First, we see a rectangle shape with little squares in it. The length is 5 and the width is 4. If we multiply them, we get 20 square units. However, we will use the 20 to solve the question. Also, we see that there are only 3 squares.
3/20
Let's divide the fraction. 3 / 20 is 0.15. We result with 0.15. Now, we multiply the decimal by 100 to get a percent; we are converting from decimal to percent. As a result, we get 15% as our answer.
3/20 = 0.15 x 100 = 15%
Brianna created a scatter plot and drew a line of best fit, as shown.
What is the equation of the line of best fit that Brianna drew?
A. y=1/2x+5
B. y=1/2x+7
C. y=2x+5
D. y=2x+7
Answer: C.) y = 2x + 5
Answer:
The correct answer is C. y = 2x + 5
Step-by-step explanation:
I got it right. Hope this helps.
What percentage of the shape is green?
Write your answer using a percent sign (%).
(ASAP)
Answer:
52% of the shape is green
Step-by-step explanation:
13 out of 25 blocks are shaded green = 13/25
13/25 = 52%
What is the sum (2/5x + 5/8) + (1/5x - 1/4)? a. 3/5 x + 1/8 b. 3/5 x + 3/8 c. 3/5x + 5/8 d. 3/5x + 7/8
Answer:
3/5x + 3/8
Step-by-step explanation:
2/5x + 5/8 + 1/5x - 1/4
1. Combine like terms so now u have
3/5x + 3/8
In case you want to know how I got 3/8
You want a common denominator so
from 5/8 + 1/4, make both denominator 8
so 1 *2/ 4* 2
so now you converted the 1/4 to 2/8
So then 5/8 - 2/8 gives u 3/8 and that's how i got 3/8
Hope this helped!
Answer:
3/5x + 3/8
Step-by-step explanation:
HELP PLS I WILL MARK BRAINLIST IF CORRECT !!
-
1. 9 6/8 = n + 2 1/8
-
2. x — 2/9 = 6 5/9
-
3. y + 1/4 = 6 11/12
pls help me i dont understand any of this.
What is the solution to −6x−4≥−2(x−4) ?
x≤−3
x≥3
x≥2
x≤−1
Answer:
The correct answer is: Option 1: x≤-3
Step-by-step explanation:
Given inequality is:
[tex]-6x-4\geq -2(x-4)[/tex]
First of all, we will distribute -2 into the bracket
[tex]-6x-4\geq -2x+8[/tex]
Then we will add 4 on both sides
[tex]-6x-4+4\geq -2x+8+4\\-6x \geq -2x+12[/tex]
Adding 2x on both sides
[tex]-6x+2x\geq -2x+12+2x\\-4x\geq 12[/tex]
Dividing both sides by 4
[tex]\frac{-4x}{4} \geq \frac{12}{4}\\-x \geq 3[/tex]
As there should be only x on the left side of the inequality we will multiply the inequality with -1.
Multiplying the inequality with -1 reverses the sign of inequality
So,
[tex]x \leq -3[/tex]
Hence,
The correct answer is: Option 1: x≤-3