Answer:
Equation: 35.60 = 2.60 + 3x
It was 11 miles
Step-by-step explanation:
35.60 = 2.60 + 3x
3x = 33
x = 11
The linear function for the fare is:
[tex]F(x) = 2.6 + 3x[/tex]
Solving the equation, it is found that the taxi ride was of 11 miles.
A linear function for a cost considering a distance of x miles has the following format:
[tex]F(x) = F(0) + ax[/tex]
In which
F(0) is the fixed cost.a is the cost per mile.In this problem:
Pick-up fee of $2.60, thus [tex]F(0) = 2.6[/tex]Cost per mile of $3, thus [tex]a = 3[/tex].The function is:
[tex]F(x) = 2.6 + 3x[/tex]
Fare of $35.60, thus [tex]F(x) = 35.60[/tex] and we solve for x to find the number of miles.
[tex]35.6 = 2.6 + 3x[/tex]
[tex]3x = 33[/tex]
[tex]x = \frac{33}{3}[/tex]
[tex]x = 11[/tex]
There were 11 miles in the taxi ride.
A similar problem is given at https://brainly.com/question/16302622
Use Substitution to solve the following System of Equations.
y=-22 - 4
y = 4x + 2
Oh
Answer:
X=4
Y=18
I think
Answer:
(- 1, - 2 )
Step-by-step explanation:
Given the 2 equations
y = - 2x - 4 → (1)
y = 4x + 2 → (2)
Substitute y = 4x + 2 into (1)
4x + 2 = - 2x - 4 ( add 2x to both sides )
6x + 2 = - 4 ( subtract 2 from both sides )
6x = - 6 ( divide both sides by 6 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (2)
y = 4(- 1) + 2 = - 4 + 2 = - 2
solution is (- 1, - 2 )
HELP ILL MARK YOU BRAINLIST
Answer:
Step-by-step explanation:
d = common difference = a₂ - a₁ = 9-1 = 8
nth term = a₁ + (n-1)d = 1 +(n-1)8 = 8n-7
.La señora Juanita encargó a su hijo Juan que realice las compras en el supermercado por dos días consecutivos. Después de una semana la Sra. Juanita le preguntó a su hijo Juan cuánto costó el kilogramo de naranjas y el kilogramo de manzanas. Juan manifestó que sólo recordaba que el primer día gastó 8,90 soles en total, al comprar 1 kg de naranjas y 4 kg de manzanas; y que el segundo día gastó 24,50 soles al comprar 5 kg de naranjas y 10 kg de manzanas. ¿Cuánto costó cada kilogramo de naranja y de manzanas?
Answer:
El precio de cada kilogramo de naranja y de manzana es 0.9 soles y 2 soles respectivamente.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso, se debe plantear un sistema de ecuaciones. Se determinan las variables:
x: precio de cada kilogramo de naranjay: precio de cada kilogramo de manzanasJuan el primer día gastó 8,90 soles en total al comprar 1 kg de naranjas y 4 kg de manzanas; y el segundo día gastó 24,50 soles al comprar 5 kg de naranjas y 10 kg de manzanas. Entonces el sistema de ecuaciones a resolver es:
[tex]\left \{ {{x+4*y=8.90} \atop {5*x+10*y=24.50}} \right.[/tex]
Se decide resolver el sistema a través del método de sustitución, que consiste en despejar una de las incógnitas en una de las ecuaciones y sustituir su valor en la siguiente. En este caso despejando la variable x de la primera ecuación se obtiene:
x= 8.90 - 4*y
Reemplazando esta expresión en la segunda ecuación se obtiene:
5*(8.90 -4*y) + 10*y=24.50
Resolviendo se obtiene:
5*8.90 -5*4*y + 10*y=24.50
44.5 -20*y + 10*y=24.50
-20*y + 10*y=24.50 -44.5
-10*y= -20
y= (-20)÷ (-10)
y= 2
Reemplazando el valor de y obtenido en la expresión x= 8.90 - 4*y se obtiene:
x= 8.90 - 4*2
x= 8.90 - 8
x=0.9
El precio de cada kilogramo de naranja y de manzana es 0.9 soles y 2 soles respectivamente.
What values of x satisfy this inequality? 5x + 71 ≥ −14
Answer:
≥-17
Step-by-step explanation:
Last week, it rained g inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain that fell this week? Select all that apply.
Answer:
Step-by-step explanation:
5%×g= 5g/100
g-5g/100
If anybody can help me pls do
the average of 5 numbers is 64. When a sixth number is added, the average becomes 66. What is the sixth number?
Step-by-step explanation:
5x64=32066=(320+x} 666x6={320+x)396=320+x=396-320
Trigonometry Question:
Find the length of side AB
Give your answer to 1 decimal place
Answer:
5.6 cm
Step-by-step explanation:
use the cosine ratio to get the answer since AB is the adjacent side and the hypotenuse has already been given
Rachel needs to drive a total of 205.2 miles. So far, she has driven 56 miles. How many more miles must Rachel drive?
miles
X 5 ?
Answer:
205.2/56 = 3.66428571
rounded answer 3.7 hours
What would be the SUM of the lengths of the first and second diagonals rounded to the nearest whole number?
Answer:
16 m
Step-by-step explanation:
Use Pythagorean theorem,
hypotenuse² = base² +altitude²
= 5² +6²
= 25 + 36
= 61
First diagonal = [tex]\sqrt{61}[/tex] = 7.81 m
Second diagonal² = first diagonal² + altitude²
= [tex](\sqrt{61})^{2}[/tex] + 3²
= 61 + 9
= 70
second diagonal = [tex]\sqrt{70}[/tex] = 8.37 m
First diagonal + second diagonal = 7.80 + 8.37 = 16.17 = 16
Given 2x-2y=23 find x when y=9
Answer:
x= 20, 5
Step-by-step explanation:
Sub y into equation to find x
2x - 2 (9)= 23
2x-18 =23
2x= 23+18
2x= 41
x=41/2
x= 20,5
a watch is sold for $130 at a loss of $30. what was the original cost of the watch
Answer:
130.00 + 30.00 = $160.00
Step-by-step explanation:
Write 2/14 in simplest form
Answer:
1/7
Step-by-step explanation:
2 ÷ 2 = 1
14 ÷ 2 = 7
1/7 is the simplest form!
Hope this helps =]
state the relation between the quantities involved
Answer:
The domains (D) is the double/multiple of each range (R).
Step-by-step explanation:
The D is the multiple of each double (R). For example:
R is 1, so 1x1 is D 1.
R is 3, so 3x3 is D 9.
And so on.
Hope it helps! :)
Please help thank you so mcuh
Answer:
7.0
Step-by-step explanation:
Right angled triangle. To find the hypotenuse, use Pythagorean theorem.
Hypotenuse² = base² + altitude²
= 6.5² + 2.7²
= 42.25 + 7.29
= 49.54
hypotenuse = √49.54 = 7.04 = 7
Step-by-step explanation:
by using Pythagoras law
h²=p²+b²
missing angle =h let
h²=(2.7)²+(6.5)²
h=√(49.50)=7.03=7
Line t intersects line u as shown below
What is the value of x
Answer:
x = 117 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram, the angle at the top left on line t is equal to theta of the top left on line u and is equal to 117 degrees (corresponding angle)
Also the angle angle on the top left on line u will be equal to x (vertically opposite angle)
Hence the value of x = 117 degrees (vertically opposite to each other on line u)
Jason started last week with $900 in his checking account. During the week, he wrote the checks below. At the end of the week, jason recurved a paycheck for $534.59. He recorded all of these transactions in his check register. Evaluate jason’s check register. A. Jason did a good job; everything is correctly.
Answer:
D
Step-by-step explanation:
PLATO/ Edmentum
Which expression is equivalent to -5(1+7x)+3(3+4x)
Answer:
0(2+14x)+6(6+8x)
Step-by-step explanation:
Unit 8: Right Triangles & Trigonometry
Homework 2: Special Right Triangles
Answer:
17.
78\sqrt{3},\ 39\sqrt{3},\ 78\sqrt{3}
19.
6,\ 12,\ 12\sqrt{2}
Step-by-step explanation:
The required values of the x, y, and z in the given triangle are 26√3, 13√3, and 39×√2 respectively.
If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
For triangles,
sin45 = 39/x
z = 39×√2
xsin60 = 39×√2 cos45
x ×√3/2 = 39
x = 39 × 2 / √3
x = 26√3
Now,
cos60= y / x
1/2 = y / 26√3
y = 13√3
Thus, the required value of the x, y, and z in the given triangle are 26√3, 13√3, and 39×√2 respectively.
Learn more about trig ratios here:
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Write the equation of each line. State its slope and y-intercept, if they exist.
Answer:
4. a) y=1x+2
b) y=0x
c) y=0x
d) y=1x+0
Step-by-step explanation:
The formula for slope intercept form is y=mx+b and the formula for slope is rise/run.
b= y intercept and m=slope.
4.b and 4.c do not cross the y intercept.
The library wants to display all the books on shelves in rows.
Each row has the same number of books and the same type
of books. How many books could be in each row? Explain
how you found your answer.
Answer:
4 books
Step-by-step explanation:
the three numbers can divisible by 4
Hope this right.But if it's not,im so sorry..Have a nice day
Solve the following systems system.
A) 2y = x + 1
-2x – y = 7
B) 3x - 2y = 8
2x - 2y = 5
C) 6x - 4y = 54
-9x + 2y = -69
What is the volume of this sphere rounded to the nearest hundredth?
Answer:
2144.7
Step-by-step explanation:
Volume of a sphere is V= [tex]\frac{4}{3} \pi r^{3}[/tex]
V= [tex]\frac{4}{3} \pi 8^{3}[/tex]
V=(4 /3)·π·8^3≈2144.66058 --> 2144.7
Cody says that dividing a unit fraction by a whole number is the same as multiplying the unit fraction by a unit fraction with the whole number as the denominator.
Which of the following supports Cody's reasoning?
A.
1
4
÷
3
=
1
12
and
4
×
3
=
12
B.
1
4
÷
3
=
1
12
and
1
4
×
1
3
=
1
12
C.
1
4
÷
3
=
1
12
and
3
÷
1
4
=
12
D.
3
÷
1
4
=
12
and
3
×
4
=
12
Answer:
c
Step-by-step explanation:
i took a test on it
what is 20% times what equals 30
Answer:
20%×X=30
x=150
Step-by-step explanation:
30÷20%=150
20%×150=30
There 10 years in one decade Deron he is two decades for years and eight months old his brother John is half as old how old is John
Answer:
John is 12 years and 4 months old !!
Step-by-step explanation:
if 3 kilograms = 6.618 pounds how many pounds are in 3 grams
Answer:
0.00661 pound
Step-by-step explanation:
If 3 kilograms = 6.618 pounds than There are approximately 0.006636 pounds in 3 grams. To convert grams to pounds, we can use the given conversion factor: 3 kilograms = 6.618 pounds.
First, we need to convert 3 grams to kilograms. Since there are 1000 grams in a kilogram, we divide 3 grams by 1000 to obtain the equivalent value in kilograms:
3 grams / 1000 = 0.003 kilograms
Now, we can use the conversion factor to convert kilograms to pounds. Multiplying the equivalent kilograms (0.003) by the conversion factor:
0.003 kilograms * (6.618 pounds / 3 kilograms) = 0.006636 pounds
Therefore, there are approximately 0.006636 pounds in 3 grams.
To know more about kilograms:
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2 EASY QUESTIONS I NEED HELP
Answer:
a=10.5
b=5.4
Step-by-step explanation:
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
Answer:
12, 24, and 60
I genuinely need help I normally don’t ask help with my homework but I’ve been really struggling on volumes and area
Answer:
A) 843.75 ft³
B) 15.625ft³
C) 54 boxes
Step-by-step explanation:
A) To find the volume of a rectangular prism (the cargo hold is a rectangular prism), you multiply the length, the width and the depth:
Volume = length x width x depth
Volume = 15 x 7.5 x 7.5
Volume = 843.75 ft³ (ft³ or cubic feet is the unit for volume in feet)
B) The volume of a cube (the boxes are cube-shaped) is also found by multiplying the length, the width and the depth:
Volume = length x width x depth
Volume = 2.5 x 2.5 x 2.5
Volume = 15.625ft³
C) To find the amount of boxes that can fit, we see how many times the volume of one box goes into the volume of the cargo hold. Divide the volume of the cargo hold by the volume of the box:
843.75 ÷ 15.625 = 54
Hope this helps, let me know if you want some things explained. : )
The whole bar weighs 40 grams. If the whole bar is split into 100 equal parts, how much do
one of those parts weigh?
Answer:
0.4 grams
Step-by-step explanation:
40/100 = 0.4
