At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, if 70 students were at the assembly, how many students could be expected to be carrying a backpack?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer 1

Answer:

Step-by-step explanation:

49


Related Questions

What is the total area, in square inches, of the shaded sections of the trapezoid below?

Answers

Answer:

64.5 in²

Explanation:

[tex]\sf area \ of \ trapezoid = \dfrac{1}{2} * ( a + b) *h[/tex]

Solve for the entire trapezoid:

[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 6.5 +(9.8+5.2+6.5) ) *8.6[/tex]

[tex]\hookrightarrow \sf 120.4 \ in^2[/tex]

Solve for the unshaded rectangle:

Length * Width6.5 * 8.655.9 in²

Area of the shaded region:

120.4 in² - 55.9 in²64.5 in²

Last month Kim trained 3 times as many dogs as cats. If the total number of cats and dogs she trained last month is 28, how many cats did Kim train?
1. Draw a model 2. Write an equation and solve.

2nd Question: How many more dogs than cats did Kim train?
1. Draw a model 2. Write an equation and solve.

Answers

Answer:

1. 7

2. 14

Step-by-step explanation:

Check the attachment.

walking the speed of 5km per hour, a boy hikes a distance of d km in t hours. Find the formula which describes d as a function of t.

Answers

Answer:

F(t) = 5t

Step-by-step explanation:

velocity = distance/time

distance = velocity × time

v - velocity

t - time

d - distance

v = 5

Distance as a function of time:

F(t) = 5×t

where F(t) represents distance

A boy hikes a distance of d km in t hours. The formula describes d as a function of t, F(t) = 5t.

What is the formula for velocity?

velocity = distance/time

v - velocity

t - time

d - distance

v = 5

distance = velocity × time

Distance as a function of time

Therefore, F(t) = 5×t

Where F(t) represents the distance.

To learn more about the distance visit:

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The points P (4, 1) and Q (-2, 4) are
reflected in line y = 3. Find the co-ordinates
of P', the image of P and Q', the image of
Q.

Answers

Step-by-step explanation:

hope it will help you

thank you

Answer:

Step-by-step explanation:

The line y = 3 is a horizontal line.

In order for us to reflect these two points, we need to draw our horizontal line and graph those points on the coordinate plane. Then you count the number of points that your original coordinates are away from the horizontal line. Once you have got that down, you count the same number on the other side (over line) and then plot and label your new coordinates. 

*View the attached graph*

Hope this helps!


Answer 1-3 please. Thank you.

Answers

Answer:

If we look at this spinner, we first need to find out how many letters there are in total.

There are 12 letters in total.

1.

For this question, they want us to find the probability of getting the letter 'R'.

We need to find how many letter 'R's there are.

There are 2 lettered 'R', out of the 12 letters.

So the probability of getting the letter 'R' is 2/12 which simplifies to 1/6.

2.

For this question, they want us to find the probability of getting the letter 'L'.

We need to find how many letter 'L's there are.

There are 3 lettered 'L's, out of the 12 letters.

So the probability of selecting the letter 'L' is 3/12 which simplifies to 1/4.

3.

For this question, they want us to find the probability of getting the letter 'B'.

We need to find how many letter 'B's there are.

There are 0 lettered 'B's, out of the 12 letters.

Therefore the probability of selecting the letter 'B' is impossible.

4.

For this question, they want us to find out which letter has the most likely chance of getting landed on.

In order to find this, we need to find one letter that is repeated a lot in this spinner, that way it is more likelier of getting that letter.

Let's look at each individual letter keeping the letters we've found so far to the side.

P(Z) = 4/12, which simplifies to 1/3.

P(S) = 1/12, which is already in simplest form.

P(F) = 2/12, which simplifies to 1/6.

Now let's compare all the probabilities for selecting each letter.

P(R) = 1/6

P(L) = 1/4

P(B) = impossible ← immediately eliminate this choice

P(Z) = 1/3

P(S) = 1/12

P(F) = 1/6

Now out of all of these probabilities, we can infer that the chances of getting the letter 'Z' is the most likeliest.

Solva.
3
ba
a+b=21
1
a = 37
0 = 20
a = 20
b = 11
1
o = 12
b = 9
b = 15
b = 16
10.
4

Answers

The values of a and b in the sytem of equation are 12 and 9 respectively.

How to find the variables(a and b) in the sytem of equation?

b = 3 / 4 a

a + b = 21

Therefore, let's substitute b in equation(ii)

a + b = 21

a + 3 / 4 a = 21

4a + 3a / 4 = 21

7a / 4 = 21

cross multiply

7a = 21 × 4

7a = 84

divide both sides by 7

a = 84 / 7

a = 12

b = 3 / 4 a

b = 3 / 4 × 12

b = 36 / 4

b = 9

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GIVEAWAY!! QUICK QUESTION!!!

Mr. Segura told Ms. Chang that the coefficient of kk is 11. What would you tell one of your classmates that the coefficient of -k−k is? Type the number, don't write it out!

Answers

Answer:

-2

Step-by-step explanation:

Given :

An example of a coefficient ⇒ '11' in 11kk

Solving :

The coefficient is the part that precedes the variable(s)Therefore, on solving -k - k⇒ -2k⇒ -2 is the coefficient

Answer:

-2

Step-by-step explanation:

Given expression: -k - k

Combine like terms and simplify:

⇒ -k - k

⇒ -(k + k)

⇒ -(2k) = -2k

Determining the constant:

The constant of the term MUST be an integer. It CANNOT be a variable. In this case, the only constant that is a cooeficient of k is -2.

Thus, the cooeficient of -k−k is -2.

Elif Is making yogurt parfaits for her daughter Sila. She has 3 pounds of Greek yogurt to make 12 parfaits. If her recipe calls for 4 ounces of Greek yogurt, will she have enough?

Answers

Answer:

for because the 3+1 =4

Step-by-step explanation:

thank you

Please help with my homework. I will give a brainlist out. Only solve 27 please.

Answers

Area=85fr²Base=17ft

Now

Base×Height=8517H=85H=85/17H=5ft

which of the following best describes a tessellation

Answers

Answer:

A

Step-by-step explanation:

A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps

Hope this helps!

Please help i really need help with this one

9.
about 5/7 of the earth's surface is covered with water.
about 88 957 440 km squared is land. in km², about how
much of the earth's surface is covered with water?

Answers

88957440/2=1/7 of the earths surface

44478720=1/7 of the earths surface

222393600km^2 is how much water covers the earth

state the restrictions on the domain of the equation.

Answers

Answer: Choice E

[tex]x \ne -4, -1[/tex]

This is the same as saying [tex]x \ne -4 \text{ and } x \ne -1[/tex]

======================================================

Reason:

If we plugged x = -4 into the function, then the x+4 in the denominator turns to 0.

x+4 = -4+4 = 0

Dividing by zero is not allowed. It leads to a division by zero error. Therefore, we need to exclude -4 from the domain. Similar reasoning will exclude -1 as well because it makes the x+1 in the denominator to be zero.

Any other x value is valid.

Side note: The (x+1) terms cancel, which may appear that x = -1 is valid. However, your calculator will likely not perform such a simplification. It will simply try to directly compute the result using PEMDAS. That means x = -1 is likely to produce a division by zero error.

45% of the children in a school have a dog, 30% have a cat, and 18% have a dog and a cat. What percent of those who have a dog also have a cat

Answers

The percentage of the children that have dog or cat is = 57%

Calculation of percentage of children

The percentage of children that have a dog = 45%

The percentage of children that have a cat = 30%

The percentage of children that have dog and cat= 18%

Therefore the percentage of children that have dog or cat = (45 + 30) - 18

= 75 - 18

= 57%

Therefore, the percentage of the children that have dog or cat is = 57%

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP *67 points*

Answers

If it didn't have that piece cut out on the bottom, it would be a rectangle that's 9cm wide and 5cm high.  Its area would be 9x5= 45 cm².

But that piece is cut out of the bottom.  The cut-out piece is 3cm wide and 3cm high, so its area is 3x3= 9 cm².

9 cm²  have been cut out of the 45 cm²  of the complete big rectangle.  So the remaining area of the figure is  45 - 9 = 36 cm² .

What is the area of the figure triangle sides 3, 4, 8

Answers

Answer:

Area of a triangle = (base x height) / 2

if the base is 3 and height is 4

Area = (3x4)/2 = 6 sq units

if the base is 4 and height is 8

Area = (4x8)/2 = 16 sq units

if base is 3 and height is 8

Area = (3x8)/2 = 12 sq units

Can you please help me with this

Answers

Answer:

180 + 48 = 228 :D

Step-by-step explanation:

We will first find the volume of the brown figure :)

6 x 6 x 5

36 x 5

180

Now we will find the volume of the blue figure :)

6 x 1 x 8

6 x 8

48

Now we add!!

180 + 48 =228

Have an amazing day!!!

Please rate and mark brainliest!!

Answer:

180 +48=228 cubic centimeters

the volume of the first shape=180 (you multipy length width and height)

the volume of second shape=48

add them=180+48=228

Robert bought 2.45 pounds of trail mix. The trail mix costs $6.75 per pound.

How much did Robert spend for the trail mix?

I need to answer A.S.A.P!

Answers

Answer:

Robert spent $16.54 for the trail mix.

Step-by-step explanation:

Multiply 2.45 with 6.75 to get 16.5375, and round it up to get 16.54

Sophia invests money in an account paying simple interest. She invests $70 and no money is added or removed from the investment. After one year, she has $72.80. What is the simple percent interest per year?

Answers

Answer:

72.80= 70(x)^1

x^1 is still x, so leave it at 72.8= 70x
divide 70 from both sides to leave x by itself

x= 1.04
4% interest is payed annually.

Hence, the simple percent interest per year is [tex]4[/tex]%.

What is the simple percent interest?

Simple interest is a quick way of calculating interest. Simple interest is worked out by calculating the percentage amount and multiplying it by the number of periods that the money will be invested for.

Here given that,

Sophia invests money in an account paying simple interest. She invests $[tex]70[/tex] and no money is added or removed from the investment. After one year, she has $[tex]72.80[/tex].

So,

[tex]70x=72.80\\\\x=\frac{72.80}{70}\\\\x=1.04[/tex]

which is [tex]4[/tex]% interest is payed annually.

Hence, the simple percent interest per year is [tex]4[/tex]%.

To know more about the simple percent interest

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Kelly's monthly profit for selling candles is represented by the function P (x) = 7.5x - 200, where x represents the number of candles sold. Complete each table

Answers

Profit is selling price minus cost price, we assumed that the number of candles sold is 100, then the profit is $550

Note: The question is not complete

Cost and Selling price

Given Data

From the expression we can see the followingcost per candle = $7.5Number of candles sold for the month = xTotal cost of candles purchased for the month = $200

We have the expression

P (x) = 7.5x - 200

Assuming the number of candles sold is x = 100

P (100) = 7.5*100 - 200

P (100) = 750 - 200

P (100) = $550

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DOES ANYONE KNOW THIS ?? Its not 20 or 16 and the layers that can be put into the box is 4 number 2 thank u so much i will make u brainliest if its right

Answers

Answer:

4 layers

128 cm²

0.1 m

Step-by-step explanation:

Height of chocolate = 0.5 cmHeight of open box = 2 cm

Layers of chocolate

Height of box / Height of chocolate2 / 0.52 x 24 layers

Volume of box

8 x 8 x 264 x 2128 cm³

Length of river on map

x : 10,000 = 1 : 100,000x = 0.1 meters

Answer:

128

Step-by-step explanation:

Volume of an open box= 2(b x h) + 2(l x b) + 2(l x h)

now here the length and breadth are same, so both are 8, and there is no need to put 2 before (l x b) as it is an open box

(8 x 8) + 2(8 x 2) + (8 x 2)

20 g of copper was heated from 25°C to 80°C. How much energy was used to heat Cu? (Specific heat capacity of Cu is 0.385 J/g °C)

Answers

114°

Explanation:

ΔE = mcΔT

ΔE = 5(0.38)(80 - 20)

ΔE = 1.9(60)

ΔE = 114°

Explain how the distance formula can prove Pythagoras' Theorem. In your
explanation use the Pythagoras Theorem and how the distance formula can be used
with a right triangle when only given the hypotenuse.

Answers

Answer:

Given a triangle ABC, Pythagoras' Theorem shows that:

[tex]c^2=a^2+b^2[/tex]

Thus,

[tex]c = \sqrt{a^2+b^2}[/tex]

The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.

[tex]d^2 = (x_{2} -x_{1})^2 + (y_{2} -y_{1})^2[/tex]

[tex]d = \sqrt{(x_{2}-x_{1})^2 + (y_{2} -y_{1})^2 }[/tex]

Therefore when given the hypotenuse with endpoints at

[tex](x_{1}, y_{1}) and {(x_{2}, y_{2})[/tex]

We know that the third point of the right triangle will be at

[tex](x_{2}, y_{1})[/tex]

and that the two side lengths will be defined by the absolute values of:

[tex](x_{2} - x_{1}) = a[/tex]

[tex](y_{2} - y_{1}) = b[/tex]

Ashley needs new batteries for the flashlights at her house. Each flashlight takes 4
batteries. Write an equation to show how the number of batteries needed, b, depends on the number of flashlights, f.

Answers

Answer: b = 4f

Step-by-step explanation:

     Since every flashlight needs 4 batteries, every flashlight added (f) will be 4 more batteries needed total (b). With this information in mind, we can write the equation:

             b = 4f

Answer:

b = 4f

Step-by-step explanation:

4 batteries per flashlight

Trigonometry question (please help).

Answers

Answer:

35.57 degrees

Step-by-step explanation:

tan x = 108/151

tan x = 0.71523

x = 35.57 degrees

HELP MEEEE PLEASEEE, SOMEONE...

Answers

Answer:

1/7 chance of happening

(Hi!, I hope you found this helpful. Please tell me if you disagree with my answer. Have a great day:)

What number has 6 tens and 1
more one than tens?

Answers

Answer:

17

Step-by-step explanation:

Find the number that makes the ratio equivalent to 4:8.
:64

Answers

Answer:

4:8 = 32:64

Step-by-step explanation:

4:8 = x:64

256=8x

32 = x

BRAINLIEST? TY!

4. Solve the inequality and graph the solution. Show work
3k > 5k + 12

Answers

Answer:

Your answer is k< -6

Step-by-step explanation:

Find the value of each variable. Write your answer in simplest radical form.

Answers

Answer:

Step-by-step explanation:

Guiding Statement

You must find x before you can find y. If an altitude is dropped from the right angle to the hypotenuse, then the value of the altitude = the two parts of hypotenuse multiplied together = the altitude squared.

Formula

Perhaps, instead of all that language, it is easier just to show you this in terms of what you have been given.

Solution

x^2 = 72                        Factor 72 into prime factors.

x^2 = 8 * 9

x^2 = 2 * 2 * 2 * 3 * 3    Take the square root of both sides.

√x^2 = √(2 * 2 * 2 * 3 * 3)  

Rule

For every pair of equal prime factors, take 1 factor outside the root sign and throw the other one away.

√x^2 = √(2 * 2 * 2 * 3 * 3)

x = √(2 * 2 * 2 * 3 * 3)                 Apply the rule

x = 2 * 3 √2

x = 6√2

Now with y

a = 6√2

b = 12

c = y Use the Pythagorean Theorum

c^2 = a^2 + b^2

c^2 = (6√2)^2 + 12^2

c^2 = 36*2 + 144

c^2 = 72 + 144

c^2 = 216

c = 6 √6

answer

x = 6√2

y = 6√6

anyone knows the answer?! ​

Answers

Answer:

The third option

Step-by-step explanation:

the lowest point on function 1 is -7

the lowest point on function 2 is -9

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