000_7th Math 2020-2021 Spring Benchmark

COLOR THEME

e Q ZOOM

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

PLEAS HELP WILL GIVE BRAINLIESTT

Answers

Answer: An equation could be x = 3y.

Step-by-step explanation:

Please help i don't know
A textbook store sold a combined total of 312 history and sociology textbooks in a week. The number of sociology textbooks sold was 52 less than the number of history textbooks sold. How many textbooks of each type were sold?

number of history textbooks sold:
number of sociology textbooks sold:

Answers

208 history textbooks and 104 sociology textbooks

pls help i really really need help on this. We just learned this but i can't remember it.
I'm really sleepy and wanna sleep. So i would appreciate your help.

:)

Answers

Answer:

114 cm²

Step-by-step explanation:

Area of shaded region

= area of circle -area of square

[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]

Given that radius= 10cm, r= 10cm.

[tex]\boxed{area \: of \: square = side \: \times side}[/tex]

Let the length of a side of the square be x cm.

Applying Pythagoras Theorem,

10² +10²= x²

100 +100= x²

x²= 200

[tex]x = \sqrt{200} [/tex]

Area of square

= x²

= 200cm²

Area of shaded region

= 3.14(10²) -200

= 3.14(100) -200

= 314 -200

= 114 cm²

Convert the following angle from degrees to radians. Express your answer in simplest
form.
285

Answers

The formula for converting degrees to radians is
?° × π/180 = ?rad
So put 285 in and...
285° × π/180 = 4.974rad
The answer is 4.97419rad

Answer:

Step-by-step explanation:

Factorise the following terms : a2 + bc + ac + ab​

Answers

Answer:

a²+bc+ac +ab

a²+ac+bc+ab

a(a+c)+b(c+a)

(a+c)(a+b)

Answer:

Step-by-step explanation:

take "a " and "c" as commons

a(2+b) + c(a+b)

pls halp my life depend on it

Answers

Answer:

first part: A. x^2+9x=36 and C. (x+9)(x)=36

second part: Width = 3 inches, Length = 12 inches

Step-by-step explanation:

"more than" implies addition, so you know you'll have 9+x in the equation you also know that you have to have the equation =36

also note (9+x is the length)

the equation for area of a rectangle is A=LW

so lets plug in what we do know

A = L W

36=(9+x)W

For the first part of the equation you're answer will be:

(x+9)(x)=36 AND x^2+9x (the reason for the second answer i listed is because when you multiple (x+9)(x) you get x^2+9x

when you solve for x it equals 3,

so the width (x) = 3 inches

and the Length (9+3) =12 inches

On a test Darra scored 36 points. If there were 40 points posible what grade did she get?

Answers

Answer:

90%/A

Step-by-step explanation:

if this helped please mark brainiest.

Answer:

She got a 90%

Step-by-step explanation:

You have to divide the number you got with the number that you can get out of. (36/40=0.9) and then convert the decimal to a percentage

What is the area of the figure, use 3.14 for π

Answers

Answer: Area of a square is a².

4² = 16

Now find the area of the semicircle.

(πr²)/2

(3.14)(2)²/2

12.56/2

6.28

Now add the areas to find the total area.

6.28 + 16 = 22.28

Hope this helps :)

Step-by-step explanation:

the area is going to be 22.28 !

Which statement describes the relationship between x and y in these two equations? y = 2x and y = x + 2
A. In y = 2x he value of y is 2 more than the value of x, and in y = x + 2 the value of y is twice the value of x.
B. In y = 2x and in y = x + 2, the value of y is 2 more than the value of x.
C. In y = 2x and in y = x + 2, the value of y is twice the value of x.
D. In y = 2x the value of y is twice the value of x, and in y = x + 2 the value of y is 2 more than the value of x.

Answers

Answer:

D

Step-by-step explanation:

In y = 2x the value of y is twice the value of x, and in y = x + 2 the value of y is 2 more than the value of x.

Which of the following quadrilaterals always have diagonals thats are congruent? check all that apply

Parallelogram
Rectangles
Rhombi
Squares
Isosceles trapezoid

Answers

Answer: Rectangles, Squares, Isosceles Trapezoid

The following quadrilaterals always have diagonals that are congruent :

RectanglesSquaresIsosceles Trapezoid

Learn more about Congruency:

https://brainly.com/question/18019780?referrer=searchResults

how much higher is -200 than 450m

Answers

Answer:

-200 isn't higher than 450 but 450 is:

450 is 250 higher than -200

Step-by-step explanation:

Find two numbers such that their sum
is 337 and their
difference is 43?

Answers

I think that would have to be 257 and 286


What’s the error ???

Answers

Answer:

A.

Stepby-step explanation:

What are the solutions to the inequality —8 + 12x > 4(5 + 2x)?

Answers

Answer:

7

Step-by-step explanation:

X>=7

We distribute and then transfer to the other side

70
А
In the diagram, point is the center of the circle. If
mZABC = 70°, what is m ZAOC?
OA. 100°
OB.
110°
Ос.
140°
OD
130°

i need help quick plssss

Answers

Answer:

140°

Step-by-step explanation:

∠ABC is an inscribed angle and its measure is half the measure of the intercepted arc, which is arc AC

Therefore the measure of arc AC is 2(70) = 140°

∠AOC is a central angle and its measure is equal to its intercepted arc, which is arc AC.

So, m∠AOC = 140°

The angle AOC from the given circle is 140°. Therefore, option C is the correct answer.

What is relation between angle at the center and the angle at the circumference?

The angle subtended by an arc at the center is twice the angle subtended at the circumference. More simply, the angle at the center is double the angle at the circumference.

From the given circle, angle ABC is 70°.

Here, 2∠ABC=∠AOC

∠AOC=2×70°

∠AOC=140°

Therefore, option C is the correct answer.

To learn more about the circle theorems visit:

https://brainly.com/question/19906313.

#SPJ7

Divide
(16x²+24xy+9y²)÷(4x+3y)​

Answers

Answer:

if u dont know get lost it is none of our business to answer

I need help and show work​

Answers

A = 22 x 60 = 1320

B = 60 x 60 = 3600

Hope this helps. I'm not smart ;w;

ANYONE PLZ ANSWER THIS QUESTION!!!!!!

Answers

Answer:

E. 40°, 25°, -2°, -16°

Step-by-step explanation:

Temperatures given:

25°, -2°,  - 16°, 40°

Descending order of the numbers is:

40°, 25°, -2°, -16°

Correct choice is E

Ben and timothyshare some money in the ratio of 3:4. Ben got $21, how much does timothy
gets?​

Answers

Answer:

$28

Step-by-step explanation:

$21 is 3/7

1 part = $7

4x7=28

A relation contains the points (-5, -10), (-2, -4), (-1,-2), (4,8) and (5,10). is this a function?

Answers

Yes. each x-value has one distinct y-value as an output as opposed to have the points be (-5,-10) (-5,-7) (-2,-4) (-1, -2) (4,8) and (5,10) which wouldn’t be a function because x=-5 equals both -10 and -7

uHhhhhHHHhHhHhHh heLp?

Answers

Answer and Step-by-step explanation:

Use the Pythagorean theorem to solve.

Plug in the value 5 for a, and 6 for b. c will stay as c.

[tex]a^{2}+ b^{2}= c^{2} \\\\\\5^{2}+6^{2}= c^{2} \\\\\\25 + 36= c^{2} \\\\\\61 = c^{2} \\\\\\\sqrt{61} = c[/tex]

5 squared is equal to 25, and 6 squared is equal to 36.We add those together to get 61.

We then square root both sides of the equation to get c by itself, resulting in the square root of 61.

The square root of 61 becomes 7.810249676

c = 7.8102

To check, you would multiply that number by itself, then you will get 61. With the rounded version, you would get close to 61.

If you got 7.08 as an answer, then multiplying it by itself results in 50.1264, which isn't close to 61.

#teamtrees #PAW (Plant And Water)

Change 0.384 to a percent.
384%
3.84%
38.4%
38.4

Answers

Move over 2 decimal places
This would be 38.4%

which logarithmic equation is equivalent to 2^5=32

Answers

Answer:

5= log2(32)

Step-by-step explanation:

IT IS CORRECT! I took the test :)

Find the value of x in 4000(1.5^x) = 25,000. Show your work.

Answers

Answer:

4.17

Step-by-step explanation:

6000x = 25000

x = 25000 / 6000

x = 4.17

what is 2 2/3 dived by 1 1/4 equal

Answers

22 1/2)/(1/4)=?

22 1/2= 23/2

then we get:

(23/2)/(1/4)=?

we can flip the 1/4 to 4/1 and multiply instead of dividing so we get:

(23/2)X(4/1)=?

multiply numerators and denominators:

(23/2)X(4/1)=92/2

simify:

=46

WILL GIVE BRILLIANTIEST Select the better deal in the pair. Then give the unit rate for the better deal.
$90 $222
or
3g 69
The (select) y deal is better. The unit rate of the better deal is $
Vg.

Answers

The $90/3g is better because the unit rate is $30/1g. If you use the same unit rate and try to see how much times it fits into the $222/6g, you can see that the $90/3g is the better option.

Answer:

The first deal is better, unit rate is 30

Step-by-step explanation:

90/3 is 30, 222/6 is 37. 90 is the better deal

Can you please help me with this

Answers

Answer:

D B and F hope this helps!

Step-by-step explanation:

1/3 plus blank equals 5/6 ​

Answers

Answer: 3/6 + 2/6 = 5/6

Step-by-step explanation: 1/3 is equal to 2/6 then 3/6+ 2/6 equals 5/6

19/24 as a decimal rounded to the nearest hundreths

Answers

Answer:

0.79

Step-by-step explanation:

19 / 24 is 0.79166667

So it's 0.79

Answer:

0.79

Step-by-step explanation:

A bookstore sells art books for $25 each. There are 16 books at the store. Identify the graph that represents this situation.

Answers

Step-by-step explanation:

I believe its the one on the top of the second picture because if there is only 16 books they can sell then thats the only one that makes sence hope this helped

Graph third represents the situation if a bookstore sells art books for $25 each. There are 16 books at the store option (C) is correct.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A bookstore sells art books for $25 each. There are 16 books at the store.

Let x be the total number of books sold and y be the total amount earned:

The linear equation can be framed as follows:

y = 25x

After plotting the graph of the above linear equation we will get a graph exactly the same as mentioned in the graph third.

Thus, the graph third represents the situation if a bookstore sells art books for $25 each. There are 16 books at the store option (C) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Other Questions
2(2x2 + 3) = Example how you got the answer Bruno is a manager at a factory that makes in-line skates. The equation 200x - y + 500 = 0 relates y, the number of pairs of skates the factory has in the warehouse and x, the number of hours after bruno starts his shift. Show that the equation is a linear equation by writing it in a slope-intercept form. Show your work calcule a rea lateral de uma pirmide regular quadrangular de altura 6 cm e rea da base 64 cm2 1. The stimulus package passed the House of Representatives. For it to become law it still has to be passed by the _______________ and signed by _______________________.2. Three things the stimulus is designed to help are ________________________, _________________________, and _______________________ .3. Two reasons why there is an increase in psychological problems during the pandemic are _________________ and ________________.4. How are you feeling about 4th quarter? I am excited about ___________________________ but nervous about ____________________.5. A group of dolphins who travel together is called a ______________________________.THIS IS FROM CNN 10 HGVDGUJVWECVJWEJDCWEBGHCEW UwU Read this excerpt of "From Blossoms": From laden boughs, from hands, from sweet fellowship in the bins, comes nectar at the roadside, succulent peaches we devour, dusty skin and all, comes the familiar dust of summer, dust we eat. Which word helps create a positive mood? A. dusty B. devour C. laden D. nectar i need help what is 1/3x-3? Can you help me with 18 Describe the characteristics of metal in which metal converts into sheet. Width510x^25xWhat is the width of Heng's area model?Width = 4-2*100+37548/88463*758=???????And put the exact number please. Write two characteristics of an educated society During an arrest, police must inform people of their "Miranda rights" to remain silent. What basic freedom is this meant to protect and how does it affect those arrested?cross out1.The right to freedom of assembly, it presents law enforcement from asking them questions without the presence of an attorney.2.The right to freedom of speech, it provides them with the ability to speak to their attorneys without fear of incrimination.3.The protection of due process, it prevents convicted offenders from receiving cruel and unusual punishment.T4.he protections against self-incrimination; it informs them that speaking to law enforcement could incriminate them Pls help me with my work ( ) Help plz with a math problem Can someone help me with 1 and 2 Im confused!!!!!! Plz help me !!!!! PLEASE HELP, I WILL MARK BRAINLIEST TO THE ONE WHO ANSWERS FIRSTThe perimeter of the base of a square prism is 16cm. The height of the prism is 5 cm. Find the volume of the prism.(Hint: use the perimeter to find the length of the side) Can someone plzzz help if you know Spanish can you look at this PLEASE SOMEONE BLESS UP AND HELPPP MEEEE AND ILL MARK YOU BRAINLIEST THANKSSSS 24 How long does it take for the Earth to orbit the Sun?A one dayB one weekC one monthD one year Kayla and her children went into a restaurant and she bought $63 worth of hotdogs and tacos. Each hotdog costs $3.50 and each taco costs $4. She bought 3 more hotdogs than tacos. Write a system of equations that could be used to determine the number of hotdogs and the number of tacos that Kayla bought. Define the variables that you use to write the system.