Mathematics College

7 Jamila has a large toy box and a small toy box The large box is 120 cm long and 90 cm high. Each length of the small box is one-sixth the length of the large box

Write the length and height of the small box. Show your working

LENGTH of small box: .......cm
HEIGHT of small box: ......cm
​

7 Jamila Has A Large Toy Box And A Small Toy Box The Large Box Is 120 Cm Long And 90 Cm High. Each Length

Answers

Answer 1

Answer:

length = 20 cm

height = 15 cm

Step-by-step explanation:

Large Toy Box

length = 120 cmheight = 90 cm

Given:

Each length of the small toy box is one sixth of the corresponding lengths of the large toy box.

Therefore, to calculate the length and height of the small toy box, multiply the length and height of the large toy box by one sixth:

[tex]\sf length=120 \times \dfrac16=\dfrac{120 \times 1}{6}=\dfrac{120}{6}=20 \ cm[/tex]

[tex]\sf height=90 \times \dfrac16=\dfrac{90 \times 1}{6}=\dfrac{90}{6}=15 \ cm[/tex]

Therefore,

length = 20 cmheight = 15 cm

Answer 2

Answer:

length = 20 cm , height = 15 cm

Step-by-step explanation:

calculate [tex]\frac{1}{6}[/tex] of the dimensions by dividing the large box dimensions by 6

length of small box = 120 cm ÷ 6 = 20 cm

height of small box = 90 ÷ 6 = 15 cm

Related Questions

This figure represents a small glass container.

What is the volume of the container?


270 in³

264 in³

240 in³

216 in³

Answers

Answer:

The answer is D. 216 [tex]in^{3}[/tex]

Step-by-step explanation:

I took the test. Hope this helps.

The volume of the container is 216 inches³.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

Given a container.

A triangular prism consists of two triangular bases and three rectangular faces.

The given container is a right triangular prism.

Volume of a triangular prism = Base area × Length of the prism.

Base area = Area of right triangle

                 = [tex]\frac{1}{2}[/tex] × 6 × 8

                 = 24 inches²

Length of the prism = length between the base triangles = 9 inches

Volume = 24 × 9 = 216 inches³

Hence the required volume of the container is 216 inches³.

Learn more about Volume here :

https://brainly.com/question/17004095

#SPJ3

Five​-sevenths of the​ T-shirts in a​ T-shirt shop are blue. Seven​-ninths of those​ T-shirts are on sale. ​One-fifth of the blue​ T-shirts that are on sale are size medium. What fraction of the​ shop's T-shirts are blue​ T-shirts that are on sale and are size​ medium? Explain

Answers

Answer:

2/5

Step-by-step explanation:

If you take 5/7//9+82+23=2-5

pls help :((
i rlly appreciate it ^_^

Answers

FALSE

7Y= 1 --> Y= ⅐ NOT 7

so it can't be it's solution

A replica of the Eiffel Tower has a scale factor of 100:1. If the Eiffel tower is 1063 feet tall, how tall is the replica?

Answers

Answer:

Height of replica = 10.63 feet

Step-by-step explanation:

Given :-

Scale factor = 100 : 1

Height of Eiffel Tower = 1063 feet

To Find :-

Height of replica (h)

Solving :-

100 = 1063 / x

x = 1063/100

x = 10.63

Solution :-

Height of replica = 10.63 feet

HELP PLEASE! LOTS OF POINTS: How many distinct positive integer factors would the following product have: 21 times 36 times 51?

Answers

Wait do you like have to multiply or what ? Never heard of this

what is 1 +1 pls HELP

Answers

Answer:

2

Step-by-step explanation:

Subject: Re: Need the math proof for 1 + 1 = 2

The proof starts from the Peano Postulates, which define the natural

numbers N. N is the smallest set satisfying these postulates:

P1. 1 is in N.

P2. If x is in N, then its "successor" x' is in N.

P3. There is no x such that x' = 1.

P4. If x isn't 1, then there is a y in N such that y' = x.

P5. If S is a subset of N, 1 is in S, and the implication

(x in S => x' in S) holds, then S = N.

Then you have to define addition recursively:

Def: Let a and b be in N. If b = 1, then define a + b = a'

(using P1 and P2). If b isn't 1, then let c' = b, with c in N

(using P4), and define a + b = (a + c)'.

Then you have to define 2:

Def: 2 = 1'

2 is in N by P1, P2, and the definition of 2.

Theorem: 1 + 1 = 2

Proof: Use the first part of the definition of + with a = b = 1.

Then 1 + 1 = 1' = 2 Q.E.D.

Note: There is an alternate formulation of the Peano Postulates which

replaces 1 with 0 in P1, P3, P4, and P5. Then you have to change the

definition of addition to this:

Def: Let a and b be in N. If b = 0, then define a + b = a.

If b isn't 0, then let c' = b, with c in N, and define

a + b = (a + c)'.

You also have to define 1 = 0', and 2 = 1'. Then the proof of the

Theorem above is a little different:

Proof: Use the second part of the definition of + first:

1 + 1 = (1 + 0)'

Now use the first part of the definition of + on the sum in

parentheses: 1 + 1 = (1)' = 1' = 2 Q.E.D.

find the distance from the point (6,4) to the line y=x+4

Answers

9514 1404 393

Answer:

  3√2

Step-by-step explanation:

The distance from point (x, y) to the line ax+by+c=0 is given by ...

  d = |ax +by +c|/√(a²+b²)

In general for, the equation of the line is ...

  x -y +4 = 0

so the distance formula is ...

  d = |x -y +4|/√(1² +(-1)²) = |x -y +4|/√2

For the given point, the distance is ...

  d = |6 -4 +4|/√2 = 6/√2

  d = 3√2 . . . . distance from the point to the line

4,5,6,6,7,7,8,8,8,8,8,9,9

What is the median of the set of numbers?

Answers

Answer:

8

Step-by-step explanation:

4,5,6,6,7,7,8,8,8,8,8,9,9

x  x x x x x     x  x  x x x x

Answer = 8
Median is the middle number when the set of numbers are arranged in order of magnitude (ascending or descending).
Hence, in this set which has been originally arranged, the median is 8 since is the number in the middle

In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether the proportions have changed, a random sample of 300 students from ABC University was selected. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. Refer to Exhibit 12-4. This problem is an example of a _____. a. multinomial population b. normally distributed variable c. uniformly distributed variable

Answers

Answer:

A. Multinomial population

Explanation:

A multinomial population has categorical data. In other words data in this form has different classes in which data is grouped into. These classes do not overlap and are more than two as opposed to binomial populations that have just two outcome variables or data categories. For example in the above data, we see that data is grouped into three categories:students in business college, students in liberal art college and students in education college

Find the distance between points (4,-9) and (-2,6)

Answers

Answer:

16.1555

Step-by-step explanation:

The ____ of two or more sets is the set that contains all elements of the set.

Answers

Answer:

Union

Step-by-step explanation:

The UNION of two or more sets is the set that contains all elements of the set.

hey can someone help me I pay you £50

Answers

Answer:

x= 31 degrees

Step-by-step explanation:

122x2=244

360-244 = 116

116/2 = 58

z= 91 degrees

so the inside next to corner b is 58 degrees

91 + 58 = 149

180 - 149 = 31

x = 31

Which of the following is NOT a valid Triangle Congruence Theorem?
A
SSS

B
ASA

C
SAS

D
SSA

Answers

Answer:

B

Step-by-step explanation:

Because if 2 angle of a triangle are equal the 3rd ones will be equal, since the sum of the angles of the triangle is 180

Write 2350 million in standard form.

Answers

Answer:

2,350,000,000  

Step-by-step explanation:

hope this helps

There are 12 pounds of dirt to be shared equally among 8 flowerpots.

Answers

Answer:

1 1/2

Step-by-step explanation:

Brainiest please

HELP will mark brainlesest​

Answers

Answer:

the angles and side length will stay the same

Step-by-step explanation:

it's a rigid translation, meaning that the shape doesn't change

1+3+7+1+4+2+3 using the standard way. please need help
best answer get brainlist

Answers

Answer:

21

Step-by-step explanation:

First add 1 and 3 which will give you 4 then you add 4 and 7 and will get 11 then add 1 to get 12 then add 4 to get 16 then add 2 and get 18 and then add 3 and you will get the final answer 21

Hope this helps!

Answer:

See below.

Step-by-step explanation:

Order of operations state that the order in which to solve is left to right.

1+3+7+1+4+2+3

1+3=4

4+7=11

11+1=12

12+4=16

16+2=18

18+3=21

-hope it helps

Round this answer (1,417.4) to the nearest tenth of a gram. can someone please so very kindly help me with this ASAP!

Answers

Answer:

1417.4 if they are looking for a whole number the answer is 1417

Step-by-step explanation:

Hope this helped :)

P.S. If this is wrong please let me know

Help
•••••••••••••••••••••••••••

Answers

Answer:

LAST ONE

Step-by-step explanation:

A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah running at a constant speed. explain your reasoning

Hurry please I need it ASAP!!

Answers

x = 650 + 60t

The cheetah must arrive at the same place at the same time:

x = 90t

650 + 60t = 90t

30t = 650

t = 650/30 ≅ 21.7 s

It takes the cheetah a little more than 20 s running at 90 ft/s to reach the moving antelope, so assuming the antelope can maintain its speed of 60, it is safe.

Find the required table attached

Since the speed of the Cheetah is constant, this means that the speed must be the same all through in the table.

To get the unknown time and distance, we will have to use the formula below:

Speed = Distance/Time = kWhen distance = 120m, time = 4secs

Speed = 120/4 = k

Speed = 30m/s = k

We are to get the distance when the time is 25secs

Speed = Distance/Time

30 = d₂/25

d₂ = 30 × 25

d₂ = 750 m

To get the time in the third column

Time = Distance/Speed

t₃ = 270/30

t₃ = 9seconds

Find the completed table attached:

Learn more here: https://brainly.com/question/8085089

The slope-intercept form of the equation of a line that passes through point (–3, 10) is y = 2x + 16. What is the point-slope form of the equation for this line?

(A): y -3 = 2 (x +10)

(B): y +3 = 2 (x -10)

(C): y + 10 = 2 (x - 3)

(D): y - 10 = 2 (x + 3)

Answers

Answer:

D

Step-by-step explanation:

the equation would be D bc using the point given u can fill out the equation y-y1=m(x-x1) so it would be y-10=m(x-(-3). then fill in slope and change the (x-(-3) into x+3. The equation is now y-10=2(x+3).

4a^2+b^2−c^2+4ab Help me find the answer plz

Answers

4a^2+b^2-c^2+4ab
Group like terms
4a^2+4ab+b^2-c^2
4a^3b-b^2c^2

Monica is three years younger than Lori. Monica is 29 years old. write an equation that can be used to determine Lori's age​

Answers

Answer:

[tex]x=32[/tex]

Based on the given conditions, formulate:

[tex]x-3=29[/tex]

Rearrange variables to the left side of the equation

[tex]x=29+3[/tex]

Calculate the sum or difference

[tex]x=32[/tex]

I hope this helps you

:)

g(x)=x^2-6x+8 write in quadratic formula

Answers

Answer:

The answers are

x

=

−

2

and

x

=

−

4

.

Step-by-step explanation:

To start, the quadratic formula is

x

=

−

b

±

√

b

2

−

4

a

c

2

a

In this problem,

a

=

1

(as the

x

2

term has no coefficient),

b

=

6

, and

c

=

8

.

Plug those values into the quadratic equation to get:

x

=

−

6

±

√

6

2

−

4

(

1

)

(

8

)

2

(

1

)

Multiply

2

⋅

1

on the bottom of the fraction:

x

=

−

6

±

√

6

2

−

4

(

1

)

(

8

)

2

Square

6

and multiply

4

⋅

1

⋅

8

within the square root:

x

=

−

6

±

√

36

−

32

2

Subtract

36

−

32

inside the root:

x

=

−

6

±

√

4

2

Solve for

√

4

x

=

−

6

±

2

2

If the

±

is positive, you get

x

=

−

6

+

2

2

, which simplifies to

x

=

−

4

2

, or

−

2

If the

±

is negative, you get

x

=

−

6

−

2

2

, which simplifies to

x

=

−

8

2

, or

−

4

the diagonals of a rectangle is 25in. The width is 15 inches. What is the length ? ( Pythagorean theorem c^2 = a^2 + b^2)

Answers

Answer:

20

Step-by-step explanation:

(You could also use 3-4-5 method, 15, 20 , 25)

[tex]15^{2} +x^{2} =25^{2}\\225+x^{2}=625\\-225 -225\\x^{2}=\sqrt{400}\\x = 20\\Length = 20 \\\\\\[/tex]

19.5+24+7.5 =
19.5+__+24 =
___+24___=

Answers

Answer:

19.5+24+7.5 = 51

19.5+51+24 = 94.5

51+24+94.5=169.5

Step-by-step explanation: Basically for the blanks you insert the answer you got..

Answer:

19.5+24+7.5=51

19.5+7.5+24=51

19.5+24+7.5=51

Find the equation of the line passing through (-4,-2) and having a slope of 0.

Answers

Using the point-slope form:

⇒ [tex](y-y0) = m(x-x0)[/tex]

Which require one point (x0,y0) on the line and the slope (m)

(x0,y0) --> (-4,-2)m --> 0

Thus let us plug int the value

[tex](y + 2) = 0(x + 4)\\y + 2 = 0\\y = -2[/tex]

Thus the equation of the line is y = -2

Hope that helps!

Practice Exercise 1:
1. Given the polynomial functionp(x) = 12 + 4x - 3x2 – x3, find
(a) The degree of the polynomial
(b) The leading coefficient
(c) The constant term
(d) The number of zeroes

Answers

Answer:

Step-by-step explanation:

A

8.25 halfway to the nearest tenth

Answers

Answer:

10

Step-by-step explanation:

look at photo please answer for brainiest

Answers

Answer:

60°

0° or 360°

Step-by-step explanation:

*for the symmetrical hexagon you can rotate it one angle and it'll look unmoved.

*for the 4 since it's not symmetrical you need to do a complete rotation or not move it at all. so either 360° or 0°

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