000_7th Math 2020-2021 Spring Benchmark

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35. The distance between two cities on a map is 3.5 centimeters. The map uses a scale

in which 1 centimeter represents 20 kilometers. What is the actual distance

between these two cities in kilometers?

Answers

Answer 1

Answer:

The distance between two cities is 70 km.

Step-by-step explanation:

Given that,

The distance between two cities on a map is 3.5 centimeters.

It is also mentioned that the map uses a scale  in which 1 centimeter represents 20 kilometers.

We need to find the actual distance  between these two cities in kilometers.

1 cm = 20 km

3.5 cm = (3.5 × 20) km

= 70 km

Hence, the distance between two cities is 70 km.


Related Questions

he following graph shows the low temperatures for the past six nights. If the line continues as it has for the past six nights, which of the following is a good prediction for Tuesday night's low temperature?

Answers

37 would be a good prediction

Answer:

37

Step-by-step explanation:

For each data set listed, determine the requested values.
1. 72, 32, 74, 66, 71, 45, 38, 49, 66, 69, 75, 34, 102

Answers

put the numbers in order

32,34,38,45,49,66,66,69,71,72,74,75,102

Q1 = (38 + 45)/2 = 41.5

Q2 (the median) = 66

Q3 = (72 + 74)/2 = 73

Interquartile range (IQR) = Q3 - Q1 = 73 - 41.5 = 31.5

Rosa buys a bag of cat food for $6.75 and a pack of cat treats for $1.89.

How much money does Rosa spend altogether?

Answers

Answer:

Rosa spend altogether Is 8.64

Step-by-step explanation:

Answer:

8.64

Step-by-step explanation:

u add 6.75 + 1.89.

=8.64

anyone tell me the answer

Answers

Answer:

a. Pop

b. 30 CDs

c. 230 CDs

Step-by-step explanation:

Given that "O" represents 20 CDs

a. The CD that was the mode is the CD that has as much "O", which is Pop.

Mode = Pop

b. Number of Rock CDs = 3 × 20 = 60 CDs

Number of Classical CDs = 1½ × 20 = 30 CDs

Therefore, 30 more CDs of Rock were sold than Classical CDs were sold

c. Pop = 5*20 = 100 CDs

Jazz = 2*20 = 40 CDs

Classical = 1½*20 = 30 CDs

Rock = 3*20 = 60 CDs

Total sold altogether = 100 + 40 + 30 + 60

= 230 CDs

Help I will be marking brainliest!!!!

A. 241 feet
B. 358 feet
C. 258 feet
D. 341 feet

Answers

Answer: A. 241 feet

Step-by-step explanation:

The figure shows two rectangular triangles.

These triangles are similar since they have two identical angles:

the first angle is 90 degrees;

the second angle is equal because the law of reflection states that the angle of incidence is equal to the angle of reflection.

The law of reflection states that the angle of incidence is equal to the angle of REFLECTION.

Let's make the proportion:

[tex]\dfrac{4}{273} =\dfrac{5}{x} \\\\x=\dfrac{273 \cdot 5}{4} =341.25 \: (feet)\\[/tex]

It takes a minimum of 100 feet for a parachute to open and safely land without injury, so:

341.25 - 100 = 241.25 (feet)

241.25 ≈ 241 (feet)

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.
The letter selected will be recorded as the outcome.
Consider the following events.
Event X: The letter selected comes before "E".
Event Y: The letter selected is found in the word "FACE".
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.

Answers

Answer:

Step-by-step explanation:

U= {A,B,C,D,E,F,G}

X = {A, B, C, D}

Y = {A, C, E, F}

a) X or Y = {A, B, C, D} and {A, C, E, F} = {A, B, C, D, E, F}

B) X and Y = {A, B, C, D} or {A, C, E, F} = {A, C}

c) Complement of X = {A,B,C,D,E,F,G} - {A, B, C, D} = {B,D,G}

Element in the given sets will be [tex]\left \{ A,B,C,D \right \}[/tex] and [tex]\left \{ A,C,E,F \right \}[/tex]

Given information,

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.

X: The letter selected comes before "E".

Y: The letter selected is found in the word "FACE".

The outcomes in favour of X will be:

[tex]X=[/tex] [tex]\left \{ A,B,C,D \right \}[/tex]

The outcomes in favour of Y will be:

[tex]Y=\left \{ A,C,E,F \right \}[/tex]

Therefore,

Element in the given sets will be [tex]\left \{ A,B,C,D \right \}[/tex] and [tex]\left \{ A,C,E,F \right \}[/tex]

For further details refer to the link given below:

https://brainly.com/question/795909

Peter has built a gazebo, whose shape is a regular heptagon, with a side length of $1$ unit. He has also built a pathway around the gazebo, of constant width $1$ unit, as shown below. (Every point on the ground that is within $1$ unit of the gazebo and outside the gazebo is covered by the pathway.) Find the area of the pathway.

Answers

Answer:

Area of pathway = 10.375 unit²

Step-by-step explanation:

Given - Peter has built a gazebo, whose shape is a regular heptagon, with

             a side length of 1 unit. He has also built a pathway around the

             gazebo, of constant width 1 unit, as shown below.

To find -  Find the area of the pathway.

Proof -

Central angle = [tex]\frac{360}{7}[/tex] = 51.43°

Now,

Central angle / 2 = [tex]\frac{360}{14}[/tex] = 25.71°

And

height = [tex]\frac{1}{2}.\frac{1}{tan25.41}[/tex] = 1.038

Now,

Inner area of gazebo = 7·[tex]\frac{1}{2}[/tex]·1·(1.038) = 3.634 unit²

Outer area of gazebo = ([tex]\frac{2.038}{1.038}[/tex])²·(3.364) = 14.009 unit²

∴ we get

Area of pathway = Outer area - Inner area

                            = 14.009 - 3.634

                            = 10.375 unit²

⇒Area of pathway = 10.375 unit²

The coordinates of the vertices of △PQR are P (0, 1), Q (0, 0),
and R (−2, 0). Draw the triangle and its image △P′Q′R′ after a 180°
clockwise rotation about the origin. What are the coordinates of the
vertices of △P′Q′R′?

Answers

Step-by-step explanation:

step 1. P(0, 1) -> P'(0, -1)

step 2. Q(0, 0) -> Q'(0, 0)

step 3. R(-2, 0) -> R'(2, 0)

This is observed variable in an experiment or study changes are determined by the presence or degree of one or more independent variables when graft this variable is usually on the vertical axis

Answers

Answer:

This is the observed variable in an experiment or study whose changes are determined by the presence or degree of one or more independent variables. When graphed, this variable is usually on the vertical axis.

Step-by-step explanation:

8v+5=1
v=_
pls help!!!

Answers

The answer is V = - 1/2. You need to subtract 5 on both sides -> 8v = 1-5 -> 8v=-4 and then divide by 8 to isolate the variable v to give you v=-1/2
v= -1/2
i honestly used photomath but
1.move constant to the right (8v+5=1)
2. calculate (8v=1-5)
3. divide both sides (8v= -4)

Q.1 Write the algebraic expressions

(i) Three times p added to four times r

(ii) The difference of 2p and 3q when 2p is less than 3q

(iii) Two-thirds of x added to 2y [3]

help?!​

Answers

Answer:

(i) 4r + 3p (ii) 3q - 2p when 3q > 2p   (iii) 2y + 2/3 x [not sure what [3] means]

Step-by-step explanation:

So for part (i) 3 multiply p added to 4 times r = 3p + 4r

For part (ii) since subtraction can seem like a negative number you stipulate that 3q is greater than 2p so that is will hold true!

(iii) I'm not sure what the [3] means but just using the numbers [tex]\frac{2}{3}[/tex]x, since of means multiply and add 2y then you have 2y +  [tex]\frac{2}{3}[/tex] x

The first term in a sequence is 5. Each new term in the sequence is obtained by adding 4 to the previous term. Determine an equivalent position-to-term formula. Your answer should be an expression in terms of .

Answers

Answer:

4x+1

Step-by-step explanation:

Select all expressions equivalent to (2^-3.2^4)^-2

Answers

Answer:1/4

Step-by-step explanation:

(2^-3.2^4)^-2

2^-2

1/2^2

1/4

2^-2
1/2^2
1/4
therefore your answer is 1/4

Can someone please help? ​

Answers

x = -7 x = 0 and x = 7

Answer:

x= -9, x=9

Step-by-step explanation:

hope i helped if i did it wrong lmk i can try doing it better

A service station sells gasoline for $3.25 per gallon
and diesel fuel for $3.00 per gallon. On Monday, the
service station's revenue from selling a total of 131
gallons of gasoline and diesel fuel was $404.25. How
many gallons of diesel fuel did the service station sell
on Monday? Show your work
A) 35
B) 55
C) 76
D) 86

Answers

Answer:

86

Step-by-step explanation:

86 x 3 + 45 x 3.25 = ? If it equals 404.25 than the answer is 86

76 x 3 + 55 x 3.25 = ? If it equals 404.25 than the answer is 76

55 x 3 + 76 x 3.25 = ? If it equals 404.25 than the answer is 55

35 x 3 + 96 x 3.25 = ? If it equals 404.25 than the answer is 35

The number you multiply by 3 is the answer.

86 x 3 + 45 x 3.25 = 404.25

Can i have brainleist i did all this?

Sam’s best friend kisses her 20 times while sam’s BF kisses her 102 times
How many times was Sam kissed
Tell your reasoning ?

Answers

Answer:

122 times

Step-by-step explanation:

20+102=122

(what is this question lol)

Answer:

Well. Depending on Sam's age, she could've been kissed many times. Not just boy her bf or bestie, anyone could kiss her throughout her life time. Your question is very vague and can have many answers. But I'll take a guess and say she was kissed more than 122 times.

Step-by-step explanation:

life.

A culture of bacteria has an initial population of 110 bacteria and doubles every 6
hours. Using the formula P = Po - 2ả, where Pt is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 19 hours, to the nearest whole number?

Answers

Answer:

988

Step-by-step explanation:

Someone please help me ASAP because I am really stuck thank uuuuu!!!!!

Answers

81/200 is the answer

Answer:

2 3/10

Step by step explanation:

solve for x with working​

Answers

Answer:

1

in this *represents x

8*-¹=2/16*

8*-¹= 2/(2)⁴*

8*-¹=2/2⁴*

on comparing quantities , we get

x-1=0/4x

x-1=0

x=1

(a)
A farmer bought a tractor for Rs 400000 and sold it after using at 10% depreciation rate per year.what is the cost of the tractor after 2years?​

Answers

Answer:

320,000

Step-by-step explanation:

Step-by-step explanation:

Hope my answer helps mark me brainliest

I NEED SERIOUS HELP I AM HAVING MATH EXAM SOON
PLEASEEEEEEEEEE HELP ME IM PREPARING WITH THE PPTS MY TEACHERS HAVE GAVE ME BUT THEY GAVE NO ANSWER AND IM NOT ABLE TO SOLVE THIS(I asked this before itself but never got an answer so with extra details I'm hoping I will get some answers)

Answers

Answer:

Step-by-step explanation:

I need ppl to talk to

Having trouble understanding....please help me.

Answers

Answer:

3:2

Step-by-step explanation:

Triangles ABC and PMN are similar.  This is evident from the marks identifying equal angles.

The ratio of the two longest sides is 20:30, or 2:3.

The ratio of the two shortest sides is 12:18, or 2:3.

Finally, the ratio of the two sides of intermediate length is 16:24, or 2:3.

The scale factor of the alrger triangle to the smaller triangle is 3:2.

Liam ate 1/3 of 3/4 of a pizza. How much pizza did Liam eat?

Answers

Answer:

Liam ate 5/12 the pizza

Step-by-step explanation:

Answer:

Liam would have eaten 5/12 of the pizza.

Step-by-step explanation:

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️☁️

Can anyone please help thank you

Answers

if each set of parallel sides are equal length, x=12 and y=3

PLEASE HELP ASAP
Finding angles!!

Answers

Answer:

Angle 1: 115

Angle 2: 65

Angle 3: 115

Angle 4: 65

Angle 5: 115

Angle 6: 65

Angle 7: 115

Step-by-step explanation:

Find the value of angle 2 by applying the vertical angles theorem (65)

Find the value of angle 1 by applying the supplementary angles theorem from the original angle (180 - 65 = 115)

Find the value of angle 3 by applying the vertical angles theorem from angle 1 (115)

Angles 4, 5, 6, and 7 are on a line parallel to the orginal line, cut by the same transversal, so they have the same values, according to the same side interior/exterior angles theorems.

What is the exact value?

Answers

Answer:

5/13 = 0.384615 (repeating)

Step-by-step explanation:

Hope that helps!

Which equation defines a function whose inverse is not a function?
A. y=x^2
B. y=x
C. y=4x-2
D. y=3^x

Answers

Step-by-step explanation:

d maybe byeee jziziznssusuisbzs

ik this isnt part of math but I really need help with this question please answer as soon as possible im being timed on this test!

Each figure below shows a force measured in Newtons pushing on a block. If there are no other forces pushing on the block,in which case is the acceleration of the block greatest?​

Answers

Answer:I believe it is D I’m taking the same test to

Step-by-step explanation:

Answer:

Step-by-step explanation:

Its d im also taking same test

30/9 as an improper fraction

Answers

Answer:

10/3

3 1/3

Step-by-step explanation:

Write the equation of the line passing through the point (-2; 2) that is
PERPENDICULAR to y = -2x + 1 in slope-intercept form. 

Answers

Answer:

2y-x-6=0

Step-by-step explanation:

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