The chart shows the distances, in miles, between some towns and cities.
Toby lives in Wrexham and works in Oswestry.
Wrexham
18
Ruthin
a) Use the chart to find the road distance
between Wrexham and Oswestry.
15
21
12
Corwen
15
33
23
Oswestry
Sarah lives in Ruthin and works in Oswestry for
5 days a week. Each day she travels to and
from work using the route shown on the map.
MOLD
ROTHEN
WRESTHAM
b) How many miles, in total, does she travel to
and from work each week? 231 miles
CORNEN
OSWESTRY
Choose CI​

Answers

Answer 1

Answer:

part a)15

part b)330

Step-by-step explanation:

Answer 2

(a) The road distance between Wrexham and Oswestry is 15 miles.

(b) The number of miles Sarah travels to and from work each week is 330 miles.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

Given a chart of the road distances between various towns and cities.

(a) From the chart,

Distance the corresponds to Wrexham and Oswestry = 15 miles

Road distance between Wrexham and Oswestry is 15 miles.

(b) Distance between Ruthin and Oswestry = 33 miles

Total distance travelled to and from work in a day = 33 × 2 = 66 miles

She works 5 days a week.

Total distance travelled for 5 days = 66 × 5 = 330 miles

Hence the number of miles travelled by Sarah in a week is 330 miles.

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The chart is given below.

The Chart Shows The Distances, In Miles, Between Some Towns And Cities.Toby Lives In Wrexham And Works

Related Questions

.) Freddy is 6 years older than twice his nephew's age. The sum of their ages is
57. How old are Freddy and his nephew?

Answers

Answer:

Freddy is 40

his nephew is 17

Step-by-step explanation:

6+2n +n=57           6+2n or 6+2(17

6+3n=57                     6+34

3n=51                             40

n=17                                f=40

Laura has to three cats: The ratio of Socks weight to princess weight is 4:5 The ratio of princesses weight to Luna's weight is 6 :7. What is the ratio of socks weight to Luna's weight?

Answers

Answer:

s : l = 24 : 35

Step-by-step explanation:

Let

Socks weight = s

Princess weight = p

Luna's weight = l

The ratio of Socks weight to princess weight is 4:5

s : p = 4 : 5

s / p = 4 / 5

The ratio of princesses weight to Luna's weight is 6 :7

p : l = 6 : 7

p / l = 6 / 7

What is the ratio of socks weight to Luna's weight

Multiply both given ratios

s / p * p / l = 4 / 5 * 6 / 7

p cancel out

s / l = 24 / 35

s : l = 24 : 35

Ratio of socks weight to Luna's weight is 24 : 35

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1), (1, 3), (2, negative 3).
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
A.(–4, 2)
B.(–1, 4)
C.(1, 3)
D.(2, –3)

Answers

The correct option is option C i.e., (1,3).

It is given that a circle has the points (4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

We have to check which ordered pair from given options is correct.

What do you mean by domain and ranges of a function ?

The domain is set of all values for which the function is defined and the range of the function is set of all values that function takes.

As per the question ;

A circle has the points ;

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

We know that ;

A function is just like a machine that gives an output for a given unique input. The input given to the function is called the domain whereas the output of a function is called its range.

Also ;

The domain is the independent variable and is represented by the 'x' coordinate and range depends on the values of the domain and is represented by the 'y' coordinate.

Now ; check for relation.

Here ; the ordered pairs (1, 1) and (1, 3) have the same input. So if we remove either of them , it will make the relation as a function.

So;

The correct option is C.

Thus , the correct option is option C i.e., (1,3).

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Answer:

C (1, 3)

Step-by-step explanation:

edge 2023

Solve. 5= 2M minus B divided by M plus b for b
PLEASE HELP :(

Answers

Divide both sides of the equation by the same term
5
=
2

5
=
2
M
5=2M
5
2
=
2

2
5
2
=
2
M
2
25​=22M​


5=2

PLEASEE HELP ASAP!!
WHAT IS THE SLOPE OF THIS GRAPH

Answers

Answer:

Step-by-step explanation:

(-4,0) (-2, -3)

(-3-0)/(-2+4)= -3/2

cam wants to find 509-106. which steps can he use to find the difference

Answers

Answer:

C.

Step-by-step explanation:

the answer is 403

Answer:

C

Step-by-step explanation:

It wouldn't be A since 5 - 1 you would get 4 hundred not 4 tens. It wouldnt be B because 9 - 6 you would get 3 ones not 3 hundreds and 5-1 you would get 4 hundreds not 4 ones. It wouldnt be D because 9-6 would be 3 ones not 3 tens. Hope I helped ! Good luck !

whats the slope of (-1,4) and (-2,5)

Answers

Answer:

m=-1

Step-by-step explanation:

Answer: m = -1

Step-by-step explanation: Use the slope formula to find the slope m.

What is the y-intercept of the graph of the linear function?​

Answers

The y-intercept is -6

Which answer is equivalent to the following expression:

42 ÷ ‒7
A.
6
B.
7
C.
‒7
D.
‒6

Answers

Answer:

D

Step-by-step explanation:

42 dived by -7 is -6, D

You have 784 grams of a radioactive kind of tellurium. If its half-life is 42 minutes, how much will be left after 126 minutes?

Answers

Answer:

98 grams

Step-by-step explanation:

The simplest way to think about this is that the half life has elapsed 3 times, so you need to take the initial mass and divide it by 2 3 times, so 784/2/2/2 or 784/8 which is 98

Three years ago Jolene by $800 worth of stock in a software company since in the value of her purchase has been increasing average rate of 12 1/2 cent per year how much is the stock worth now

Answers

Answer:

The value of stock now = $966.35Step-by-step explanation:Given in question as, Three ... Three years ago, Jolene bought $800 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 6.5% per year.

Step-by-step explanation:

Answer:

£1464.84 is your answer

Step-by-step explanation:

Depending on whether you use simple or compound interest. I would think the stock would be worth:

$

750

×

1.25

=

$

937.50

at the end of one year,

$

937.50

×

1.25

=

$

1171.88

at the end of two years, and

$

1171.88

×

1.25

=

$

1464.84

at the end of three years.

Or, if you want to compute it in one shot,

$

750

×

1.25

3

=

$

1464.84

.

Which of the following results in the expression 0.86 x 22?

Answers

Answer: 18.92

Step-by-step explanation: Multiply  

22 by  0.86

Answer:

18.92

Step-by-step explanation:

Multiply 0.86 times 22

Plz help very important question!!!!!

Answers

Answer:

Domain: [1, 6]

Range: [1, 7]

General Formulas and Concepts:

Alg I

Domain is the set of x-values that can be inputted into function f(x). Range is the set of y-values that are outputted by function f(x).

Step-by-step explanation:

We can find our domain and range from looking from the graph.

Domain

Domain encompasses x-values. According to the graph, the x-values span from 1 to 6. Since both are closed dots, they are included in the domain:

[1, 6] or 1 ≤ x ≤ 6

Range

Range encompasses y-values. According to the graph, the y-values span from 1 to 7. Since both are closed dots, they are included in the range:

[1, 7] or 1 ≤ x ≤ 7

Easy way to remember this: for Domain, look only at the x-axis and for Range, look only for the y-axis.

Factor x^2 + 9x + 14

Answers

Answer:

(x+2)(x+7)

Step-by-step explanation:

Factor out the expression and simplify if needed.

Answer:

(x+2)(x+7)

Step-by-step explanation:

what adds to 9: 2 and 7

what multiplies to 14: 2 and 7

Double bubble, put x in both of the bubbles, and positive 2 and 7, that is in factored form.

PLEASE HELP 15 POINTS...PLEASE HELP

Answers

Answer:

-3/3

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

James was able to correctly 11 major highways, 4 mountains, 86 major cities, and 9 bodies of water on a map. How many places on the map did James identify? Explain how you can use compatible numbers to help calculate the sum.

Answers

Answer:

The number of places correctly identified is 110 places

Step-by-step explanation:

The number of places he correctly identified will be;

11 + 4 + 86 + 9 = 110 places

By using compatible numbers, we refer to the fact that she use an estimate by making sure each of the numbers are closer to the nearest 10th or 5

so 4 will be 5

11 will be 10

86 will be 85

9 will be 10

Adding all of these together, we have

5 + 10 + 85 + 10 = 110

En un mapa tienes que ir de la escuela a el mercado y del mercado a la biblioteca pero ¿Cómo se mide la distancia que hay entre cada uno de esos lugares si sale 1:10000 centímetros?

Answers

Answer:

La escala es 1 : 10000 centimetros

Eso significa que por cada centimetro que una persona mide en el mapa, en la vida real la distancia es 100 metros.

Por ejemplo, si usamos una regla para medir la distancia en el mapa y medimos que entre la escuela y el mercado hay una distancia de 7 centimetros (siguiendo las calles, no en linea recta), entonces la distancia a caminar para ir de la escuela al mercado es de 700 metros. Debemos ser cuidadosos y medir la distancia siguiendo las calles, ya que si medimos en linea recta la distancia puede ser menor, pero los humanos no volamos.

A photo collage consists of seven equal-sized square photos arranged in a row to form a rectangle. If the total area of the collage is 567 square inches, what is the length of the collage? __ inches

Answers

Given:

Seven equal-sized square photos arranged in a row to form a rectangle.

Total area of the collage is 567 square inches.

To find:

The length of the collage.

Solution:

Let the side of each square be x inches.

Seven equal-sized square photos arranged in a row to form a rectangle.

So, length of rectangle is 7x and width is x.

Area of rectangle is

[tex]Area=Length\times width[/tex]

[tex]567=7x\times x[/tex]

[tex]567=7x^2[/tex]

[tex]\dfrac{567}{7}=x^2[/tex]

[tex]81=x^2[/tex]

Taking square root on both sides, we get

[tex]x=\pm \sqrt{81}[/tex]

[tex]x=\pm 9[/tex]

Side cannot be negative. So, x=9 inches.

Now,

Width = 9 inches

Length = 7(9) = 63 inches

Therefore, the length of the rectangle is 63 inches.

help me with this homework

Answers

Answer:

r = 0

Step-by-step explanation:

-32r + 8 = -8r + 8

-32r + 8r = 8-8

-24r = 0

divide both sides by -24

then the answer will be -- r = 0

Answer:

0

Step-by-step explanation:

what is the slope of ( -4,-1) , (8 - -7)

Answers

The formula to find slope is:
Rise over run —> y2 - y1 / x2 - x1
Plug in the numbers.
-7 - (-1) / 8 - (-4)
Simplify.
Hope I helped:)

Which answer choice shows 15.067 rounded to the nearest hundredth?
A. 15.07
B. 15.06
C. 15.1
D. 15.0

Answers

A. 15.07 you’re welcome!

A right triangle is a move from a rectangle to create the shaded region below. find the area of shaded region. be sure to include the correct unit in your answer.​

Answers

Answer:

55 cm²

Step-by-step explanation:

Area of rectangle is 9 × 7 = 63 cm²

Area of write angled triangle is [tex]\frac{1}{2}[/tex] (7 - 3)(9 - 5) = 8 cm²

The area of shaded region is 63 - 8 = 55 cm²

The double number line shows that 555 pounds of avocados cost \$9$9dollar sign, 9.



Based on the ratio shown in the double number line, what is the cost for 111 pound of avocados?

Answers

Answer:

1 pound of avocado costs $1.8

Step-by-step explanation:

Allow me to rewrite your question for a better understanding and hope it ill fit the original one:

The double number line shows that 5 pounds of avocados cost $9. Based on the ratio shown in the double number line, what is the cost for 1 pound of avocados?

Here is my answer:

Given that:

5 pounds avocados = $9

They want to find out:

cost of 1 pound of avocado

So we use division to solve this problem:

$9:5 pounds = $1.8/pound or:

1 pound of avocado costs $1.8

Hope it will find you well

Thank you.

can i get brainliest by any chance i need 2 more

15) In the proof: STATEMENT: e / f REASON: 15)
Transitive Property of Congruency
Converse of AEA Theorem
AEA Theorem
AIA Theorem
Definition of Congruent Angles

Answers

Answer:

Can you be more specific if you can I will answer in the comments :)

Step-by-step explanation:

Plz help me with this question if you can explain plz do also thank you!!

Answers

Answer:

The answer is b because h = hours and 45 is the mph

Step-by-step explanation:

Work out the area of Triangle ABC

Just to confirm, these are the numbers,
Bottom right: √2cm
Bottom Left: 3√2cm
Middle right: 2√5cm


Answers

The main idea is using the Pythagorean formula to find the length of line segment [tex]DB[/tex].

Alr so you use the formula [tex]A^2 + B^2 = C^2[/tex]

[tex]C^2[/tex] is already given and is [tex]2\sqrt{5}[/tex]

and [tex]A^2[/tex] is [tex]3\sqrt{2}[/tex]

So using algebraic rules you'll get [tex]B[/tex] as:

[tex]\sqrt{2}[/tex]

Now using the formula: [tex]\frac{1}{2} b * h[/tex], you can find the area of tri ABD and CBD which would be [tex]3[/tex] and [tex]1[/tex] so add them up and you get [tex]4[/tex]!

1 (-2,2) Write the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-2, 2). * (4 Points)​

Answers

Answer:

y = -5x - 8

Step-by-step explanation:

Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.

[tex]\frac{y2 - y1 }{x2 - x1}[/tex]

Now plug in your points

[tex]\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}[/tex]

Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.

Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept

2 = -5(-2) + b (b represents the y-intercept)

2 = 10 + b (subtract 10 from both sides)

-8 = b

The perpendicular line looks like this y = -5x - 8

Hope this helps ya! Keep smiling!

Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete

Answers

Answer:

8 full practice

Step-by-step explanation:

Given that :

Morning Practice hours Total = 12 hours

Afternoon practice hours total = 14 hours

practice length = 3 hours

Hence, Number of full practices attended :

practice hours / practice length

Morning : 12 / 3 = 4 practice sessions

Afternoon = 14 / 3 = 4.666 sessions

Hence, number of full practice completed = 4 + 4 = 8

Answer:

hope this helps .enjoy the rest of your day.

Does the equation: -x + 6y = -7 represent direct variation?

Answers

Answer:

The equation -x + 6y = -7 does not represent direct variation.

Step-by-step explanation:

The form of the linear equation is y = m x + b, where m is the slope of the line which represents the equation and b is the y-interceptThe direct variation is a linear relation, and represented graphically by a line passes through the origin, which means the y-intercept is (0. 0), then (b = 0)The equation of the direct variation is y = m x

Let us solve the question

∵ The equation is -x + 6y = -7

→ Substitute x by 0 to find the value of y-intercept

x = 0

∴ 0 + 6y = -7

∴ 6y = -7

- Divide both sides by 6 to find y

y = [tex]-\frac{7}{6}[/tex]

∴ The y-intercept of the equation is (0, [tex]-\frac{7}{6}[/tex] )

∵ The y-intercept of the direct variation is (0, 0)

The equation -x + 6y = -7 does not represent direct variation.

Pls help this is already past due

Answers

Answer:

Step-by-step explanation:

-5400/-450

12 minutes

Answer:

12 minutes

Step-by-step explanation:

If the rate of the plane is -450 meters per minute, then you have to use the "division" operation in order to know how much time it takes for the plane to reach an altitude of -5,400 meters.

-5,400 meters ÷ -450 meters/minute = 12 minutes

It will take 12 minutes for the plane to reach an altitude of -5,400 meters.

Let's check:

-450 meters x 12 minutes = -5,400 meters

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