The question is an illustration of a system of linear equations.
The system of linear equations is: [tex]y=450 + 2x[/tex] and [tex]y = 350 + 6x[/tex]The solution to the equation is (25,500)Let the number of miles be x.
Getting trained and licensed
One time cost: $450Gas and Insurance: $2 per mileSo, the equation is:
[tex]y=450 + 2x[/tex]
Delivery
First delivery: $350Rate: $6 per mileSo, the equation is:
[tex]y = 350 + 6x[/tex]
Hence, the system of linear equations is:
[tex]y=450 + 2x[/tex] and [tex]y = 350 + 6x[/tex]
To solve the equation, we equate both, as follows:
[tex]450 + 2x = 350 + 6x[/tex]
Collect like terms
[tex]6x - 2x = 450 - 350[/tex]
[tex]4x = 100[/tex]
Divide both sides by 4
[tex]x = 25[/tex]
Substitute 25 for x in [tex]y=450 + 2x[/tex]
[tex]y = 450 + 2 \times 25[/tex]
[tex]y = 450 + 50[/tex]
[tex]y = 500[/tex]
Hence, the solution to the equation is (25,500)
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index notation simplify 4^9 x 4^3
Answer:
[tex]4^{12}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]4^{9}[/tex] × [tex]4^{3}[/tex] = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]
A hybrid car can go 400 miles on 8 gallons of gas. How far can the car take you with 1 gallon of gas?
Answer:
50 miles
Step-by-step explanation:
Take the number of miles and divide by the number of gallons
400 miles / 8 gallons
50 miles per gallon
Answer:
50 miles
Step-by-step explanation:
if for each 8 gallons it can go to 400 miles
so the 8 will be divided to 8 and get 1
and also divide the 400 into 8 you will get 50 miles per 1 gallon
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answer:
Copy an angle is the best solution with compass and straight edge.
Please help derivitive
Please dont comment if you dont know …
[tex]\lim \limits_{x \to 0^{+}} \left( \csc x + \dfrac 1x \right)\\=\lim \limits_{x \to 0^{+}} \csc x + \lim \limits_{x \to 0^{+}} \dfrac 1x\\\\=\infty[/tex]
plss help me... with explanation
(20 pnts)
Answer:
B. slope
Step-by-step explanation:
Expand using identities:
(i) (2x- 5y)²
(ii) (11a + 2) (11a – 2)
(iii) (7m + 3) (7m + 3)
Answer:
Step-by-step explanation:
(2x-5y)^2
(2x-5y)(2x-5y)
4x^2-10xy-10xy+25y^2
4x^2-20xy+25y^2
------------------------------
(11a+2)(11a-2)
121a^2+22a-22a-4
121a^2-4
------------------------------
(7m+3)(7m+3)
49m^2+21m+21m+9
49m^2+42m+9
Function h gives the height of a tennis ball, in feet, t seconds after it is tossed straight up in the air. The equation h(t) = -16t2 +12t+10 defines function h
What is the area of a square whose perimeter is 12x cm?
Answer:
9
Step-by-step explanation:
12/4=3
3*3= 9
Filler and more filler
The area of the square is 9 [tex]cm^{2}[/tex].
What is area?The space occupied by a flat shape or the surface of an object is called area.
Formula for the area of square?[tex]Area = a^{2}[/tex]
Where, a is the length of the side of a square
What is perimeter?Perimeter is the total length of the sides of a two-dimensional shape.
Formula for the perimeter of squarePerimeter of a square = 4a
Where, a is the side of a square
According to the given question
Perimeter of a square is 12cm.
Let a be the length of the side of a square.
Therefore,
Perimeter of the square = 4a
⇒ 12 = 4a
⇒ a = 12/4
⇒ a = 3cm
So, the area of square = 3cm × 3cm = 9 square cm
Hence, the area of the square is 9 [tex]cm^{2}[/tex].
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Find the product. Simplify your answer. (m–4)(2m+2)
Answer:
2m²-6m-8
Step-by-step explanation:
(m-4)(2m+2)
= (m+-4)(2m+2)
= (m)(2m)+(m)(2)+(-4)(2m)+(-4)(2)
= 2m²+2m-8m-8
= 2m²-6m-8
what is the sum of two number 55 + 6
Answer:
61
Step-by-step explanation:
1+1+1+1+1+1=6
6x10=60
60+1=61
A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of swar to water
in the mixture?
Step-by-step explanation:
Ounces of water = 56 - 14 = 42 ounces
Ratio of sugar to water
56 : 42
8 : 6
4 : 3
What is the perimeter of the triangle?
Answer:
L1 + L2 + L3 = perimeter
Step-by-step explanation:
You add each side of the triangle together.
Answer:
L1+L2+L3
Step-by-step explanation:
You add all the sides of the triangle to get the perimeter
What is the value of c?
Answer:
Step-by-step explanation:
Explanation:
Since it is a right triangle and we are given the two shorter legs, the hypotenuse is found by
c
2
=
a
2
+
b
2
c
2
=
10
2
+
24
2
=
100
+
576
=
676
c
=
√
676
=
26
QUESTION 15 PLEASE HELP ME ASAPP
Answer:
The line shifted up 8 units
Step-by-step explanation:
Pls look at photos I’ll give 30 points
Solve 5 - 2x < 7.
A) x < -1
B) x > -1
0x<
-12
D) x>-12
Answer:
x < - 1
Step-by-step explanation:
You have to treat it is a linear equation.
First, - 5 from both sides, resulting in -2x < 2.
Lastly, you need to find x on it's own so you have to divide by - 2.
Therefore, the answer would be x < -1.
Hope this helps :)
correct?`````````````````````````
Answer:
It's $5 for a ticket
Step-by-step explanation:
Hope this helps
MAy I get Braineist pls?
three less than a number is -18
Answer:
-15
Step-by-step explanation:
work in reverse
-18 is three less than something
that means that something is 3 more than -18
so
add 3 to -18
-18+3= -15
Work out m and c for the line: y = 8 − x
m=-1 and c=8 for the line y = 8 − x
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is y = 8 − x
This equation we can write in the form of slope intercept form
y=-x+8
y=(-1)x+8
Now compare the above equation with slope intercept form
m=-1 and c=8
Hence, m=-1 and c=8 for the line y = 8 − x
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Johnny has a box filled with 10 black marbles and 5 purple marbles what are the odds he pulls to black marbles in a row?
Answer:
3/7
Step-by-step explanation:
The first black marble is 10/15 and the second is 9/14. Multiply them together to get 3/7 after you simplify it.
The lengths of the sides of quadrilateral EFGH are as follows: EF = 12 cm, FG = 6 cm, GH = 9 cm, and EH
- 9 cm. If EFGH - MNOP and NO = 7.5 cm, which statement about the side lengths of quadrilateral MNOP
is true?
MN = 12 cm because the scale factor for dilating quadrilateral EFGH is 1.
MP = OP = 7.2 cm because the scale factor for dilating quadrilateral EFGH is
UA
5
HMN = 13.5 cm because the scale factor for dilating quadrilateral EFGH adds 1.5 cm to EF.
MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.
The true statement about the side lengths of quadrilateral MNOP is (d) MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.
The side lengths of EFGH are given as:
[tex]EF = 12\ cm[/tex]
[tex]FG = 6\ cm[/tex]
[tex]GH = 9\ cm[/tex]
[tex]EH = 9\ cm[/tex]
Length NO is also given as:
[tex]NO = 7.5\ cm[/tex]
Because both quadrilaterals are similar, then side NO corresponds to side FG.
The scale factor (k) from EFGH to MNOP is then calculated as:
[tex]k = \frac{NO}{FG}[/tex]
[tex]k = \frac{7.5}{6}[/tex]
[tex]k = 1.25[/tex]
The side lengths of MNOP are then calculated using:
[tex]MN = 12cm \times 1.25[/tex]
[tex]MN = 15\ cm[/tex]
[tex]OP = 9cm \times 1.25[/tex]
[tex]O P = 11. 25 cm[/tex]
Also,
[tex]MP = 11. 25 cm[/tex]
So, the true statement is (d)
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Solve using substitution.
y = -9x - 8
y = -6x – 2
Please help
Answer:
y = 10; x = -2
Step-by-step explanation:
Because both are equal to y, you can set them equal to each other.
-9x - 8 = -6x - 2
- 6 = 3x
x = -2
y = -9(-2) - 8 = 10
Find two consecutive whole numbers that 60 lies between.
Answer: Benchmark numbers can be used to state that the square root of 60 is between 6 and 7.
Answer: 50 and 100
Step-by-step explanation:
( sorry if this is not what you meant ;-; )
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Answer:
A (2,2) B (2,4) C (3,2) D (3,3)
Step-by-step explanation:
K = 1/2
K is the scale factor so the distance between points will be cut in half
A 4,4 new 2,2
B 4,8 new 2,4
C 6,4 new 3,2
D 6,6 new 3,3
Answer:
A = (2,2)
B = (2,4)
C = (3,2)
D = (3,3)
Step-by-step explanation:
Leave a brainliest if this helped
What is 25% of 50?
Need answers :)
Answer:
12.5
Step-by-step explanation:
Answer: 25% of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal.
If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b
Answer:
Step-by-step explanation:
a+√b
a-√b
Simplify
O A. 6^16
O B. 6
O C. 6^4
O D. 1/6
Does anyone else like Gavin Magnus? If so what are your favorte things about him! I'mgiving brainliest
I LOVE OUR SWEET MATCHLESS CHRIST JESUS!
How do I get the answer for exponents? Please explain step by step to get marked!
Answer:
4900
Step-by-step explanation:
70^2 means 70*70
70*70=4900
Answer:
you will do 70 times 70 because 70^2 is 70 times 70 which is 4,900.
A builder makes a certain type of concrete by mixing together 1 part portland cement (made from lime and clay), 3 parts sand, and 5 parts crushed stone. If 765 ft^3 of concrete are needed, how many cubic feet of each ingredient does he need?
Answer:
85 ft^3 portland cement255 f^3 sand425 ft^3 crushed stoneStep-by-step explanation:
The total number of parts is 1+3+5 = 9. The relevant fractions of the mix are ...
1/9 = portland cement
3/9 = 1/3 = sand
5/9 = crushed stone
Since the total is 765 ft^3, the ingredients required are ...
(1/9)(765 ft^3) = 85 ft^3 portland cement
(1/3)(765 ft^3) = 255 f^3 sand
(5/9)(765 ft^3) = 425 ft^3 crushed stone