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
Answer:
length = 20 cm
height = 15 cm
Step-by-step explanation:
Large Toy Box
length = 120 cmheight = 90 cmGiven:
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 cmAnswer:
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
these numbers form an addition and subtraction fact family 6,7,13 choose the fact family formed by these numbers a 7+13=20 13+7=20 13-13=0 13-0=13 b 7+0=7 6+0=6 13-0=13 13-13=0 c 7+6=13 6+7=13 13-6=7 13-7=6 c 7+6=13 13=7+6 13-6=7 7=13-6 is it abc or d
Hannah has a bag that contains orange chews, lemon chews, and lime chews. She performs an experiment. Hannah randomly removes a chew from the bag, records the result, and returns the chew to the bag. Hannah performs the experiment 74 times. The results are shown below:
An orange chew was selected 39 times.
A lemon chew was selected 17 times.
A lime chew was selected 18 times.
Based on these results, express the probability that the next chew Hannah removes from the bag will be orange chew as a decimal to the nearest hundredth.
Based on these results, probability that the next chew Hannah removes from the bag will be orange chew is 0.53.
What is the probability of picking an orange chew?Probability determines how likely it is that event would occur. The probability that an event would occur lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
The probability of picking an orange chew = 39 / 74 = 0.53
To learn more about probability, please check: https://brainly.com/question/795909
The GCF of 12 and 28 is _____.
greatest common factor 12 and 28 is 4
The greatest common factor (GCF) of 12 and 28 is 4.
To find the GCF, you can determine the factors of both numbers and identify the greatest common factor they share.
As we know that a factor is a number that entirely divides another number.
To put it another way, any two integers that multiply to generate a result are factors of the result.
For 12, the factors are 1, 2, 3, 4, 6, and 12.
For 28, the factors are 1, 2, 4, 7, 14, and 28.
The common factors of 12 and 28 are 1, 2, and 4.
Among them, the greatest common factor is 4.
Therefore, the GCF of 12 and 28 is 4.
Learn more about the Greatest Common Factor here:
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#SPJ6
Consider this quadratic equation.
x + 2x + 7 = 21
The number of positive solutions to this equation is
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is
Answer:
Rounded to the nearest hundredth, is X=4.67
Step-by-step explanation:
Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are
(4, –5), what are the coordinates of B'?
(2, 3)
(1, –9)
(–3, –4)
(6, –13)
Answer:
(6,-13)
Step-by-step explanation:
substitute x=4 and y=-5.
Therefore,
B(4, -5 ) → B(4+2,-5-8)
Simplify
B(4,-5) → (6,-13)
or you can do:
(4, -5) ⇒ (4+2, -5-8) = (6, -13)
Lenvy~
Answer:
(6, –13)
Step-by-step explanation:
The answer above is correct.
3)
Solve the quadratic equation by taking square roots.
3x^2 – 8 = 12
Answer:
The answer is in the photo
Step-by-step explanation:
Every conditional has two parts. The part following "IF" is the ____ and the part following "THEN" is the ____.
Answer:
hypothesis is the answer for the fist blank
Step-by-step explanation:
5 - (x + 5) > -2(x+4)
Answer:
5-(1+5)= -1
-2(1+4)=-10
Step-by-step explanation:
Answer:
x>16
Step-by-step explanation:
5-(x+5) cancels out to just x
An internet company charges $12 per gigabyte of data plus a monthly service charge of $18. Last month, Niki's bill was $78. Write an equation to find how many gigabytes of data Niki used last month.
Let x represent the number of gigabytes of data Niki used.
Multiply the number of gigabytes by the cost per gigabyte. Add the service charge and set it equal to the price of the bill.
Answer:
12x+18=78
Step-by-step explanation:
12x+18=78
-18 -18
12x=60
x=5
Ordered pair for 3x + 5y = 2
9x + 11y = 14
Answer:
y = -3/5x +2 y = -9/11 + 14
Step-by-step explanation:
3x + 5y = 2(subtract 3x on both sides)
5y = -3x +2(divide by 5)
y = -3/5x + 2
9x + 11y = 14 (subtract 9x on both sides)
11y = -9x + 14 (divide by 11)
y = -9/11x + 14
Answer:
Step-by-step explanation:
-9x - 15y = -6
9x + 11y = 14
-4y = 8
y = -2
3x + 5(-2) = 2
3x - 10 = 2
3x = 12
x = 4
(4, -2)
Rename the fraction 1/4 using the least common denominator,12
Answer:
3/12
Step-by-step explanation:
to rename the fraction with the common denominator of 12, u have to multiply 1/4 by 3/3 to get 3/12. You can check ur answer by simplifying your answer. 3/12=1/4
Answer:
3/12
Step-by-step explanation:
12÷4=3 so I would be 3/12
6th grade math I mark as brainliest
Answer:8
8 and its D
Step-by-step explanation:
hope it helps let me know if im wrong
i will give brainliest
Answer:
x =< 5
Step-by-step explanation:
We have to solve 2x + 3 <= 13
2x + 3 <= 13
=> 2x =< 13 - 3
=> 2x =< 10
=> x =< 5
Answer:
x > 8
Step-by-step explanation:
[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x+3-3 < -13-3[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-2x < -16[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-2x\right)\left(-1\right) > \left(-16\right)\left(-1\right)[/tex]
[tex]\;Simplify[/tex]
[tex]2x > 16[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2} > \frac{16}{2}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x > 8[/tex]
[RevyBreeze]
Explaining Equivalent equations
What are equivalent equations? How do you find them?
Write a few sentences describing them.
Answer:
Equivalent equations are equations that have exactly the same solution. To find equivalent equations, it is best to solve them individually to find the solutions. The ones with the same solution in the end are considered equivalent equations.
Answer:
Sample Response: Equivalent equations have the same solution. You can create equivalent equations by performing the same operations on each side of the equation. You can check for equivalence by finding the solution for each equation.
Step-by-step explanation:
A series of isosceles triangles are drawn between two red line segments.
a
= 22°.
Work out
x
, explaining each stage of your working in the comment box.
Based on the definition of isosceles triangle, the value of x in the given diagram is: 84°.
What is an Isosceles Triangle?An isosceles triangle has two base angles of equal length.
Given that, a = 22°, and using the information in the image attached below, we have the following:
m∠1 = a = 22° (base angles)
m∠2 = a + m∠1 = 22 + 22 = 44° (external angle theorem)
m∠3 = m∠2 =44° (base angles)
m∠4 = 180 - (180 - m∠2 - m∠3) - m∠1 = 180 - (180 - 44 - 44) - 22
m∠4 = 70°
m∠5 = m∠4 = 70° (base angles)
m∠6 = 180 - (180 - m∠5 - m∠4) - m∠3
m∠6 = 180 - (180 - 70 - 70) - 44
m∠6 = 96°
m∠7 = m∠6 = 96° (base angles)
x = 180 - m∠7
x = 180 - 96
x = 84°
Therefore, based on the definition of isosceles triangle, the value of x in the given diagram is: 84°.
Learn more about isosceles triangle on:
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one digit even prime numbers
a.finite b. infinite
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
hope this helps
i took this test
Lori ran 4.63 miles last weekend and 5.876 miles this weekend. How many miles did she run in all?
Answer:
10.506
Step-by-step explanation:
its just adding and math lol- if u dont trust it look it at a calculator- hope this helped!!<3
What is the domain of this graph
put in final form (only the awnser)
If i use elmer's glue for my fake nails will they stay
im at school Help
Answer:
Yes, you can use school glue. PVA white/Elmer's glue will work just fine. What is the best nail strengthener? Just don't use nail strengthener, it almost does the opposite of what you want.
Answer:
well they will stay but not as long as nail glue.
I think
Use the discriminant to find what type of solutions the equation has,
3x^2+ 7x = 7
Finding the surface area of a right triangular prism
Answer:
The formula that is used to calculate the surface area of a triangular prism is, Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh; where 'b' is the bottom edge of the base triangle, 'h' is the height of the base triangle, L is the length of the prism and S1, S2 and S3 ...
5kg of food is £45 jim buys 3kg how much does it cost
I need the mathematical language pls
there are 36 pupils in mr. castro mathematics class mr. castro wants to seperate the class into equal group for doing an activity. what are the five diffrent ways that the teacher can do to the group he class?
Answer:
He can use the factors of 36 to determine the number of groups he can divide the class into such that they are equal.
The Factors (excluding 1) are;
2, 3, 4, 6, 9, 12, 18
Using these therefore he can divide them;
Into 3 groups each with 12 people.Into 4 groups each with 9 people.Into 6 groups each with 6 people. Into 9 groups each with 4 people. Into 12 groups each with 3 people.Dave bowers collects u.s gold coins. He has a collection of 47 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $670, how many of each denomination does he have?
670=10(a)+20(b)
47=a+b
a is amount of $10 coins=27
b is amount of $20 coins=20
A bus makes a stop at 2:30, letting off 13 people and letting on 4. The bus makes another stop ten minutes later to let off 2 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Answer:
The original number of passengers on the bus decreased by 10 after the second stop
Now, at 2:30:
15 passengers got off and 9 got on.
This means that:
number of passengers = x - 15 + 9
number of passengers = x -6
10 minutes later:
4 passengers got off the bus
This means that:
number of passengers = (x-6) - 4
number of passengers = x - 10
By comparing, we can note that:
The original number of passengers on the bus decreased by 10 after the second stop
which is the right one???
Ston:A
ep-by-step explnswer:
anati
To solve the system of equations below, Chen isolated x2 in the first equation
and then substituted it into the second equation. What was the resulting
equation?
=
x2 + y2 = 16
² y²
运
4
= 1
25
O A. 16.my -
ОА
-
_y²
25
O B. Y? -16 2.1
4
25
O
O c. *? - 16-y2.1
H
4
25
OD. - 16 - 1
2 2
y? -
25
=
Answer:
50
Step-by-step explanation:
because chen isolated x2
27. When can you say that the event is independent?
A. If the fact that A occurs does not affect the probability of B occurring.
B. If the fact that A occurs affect the probability of B occurring.
C. If the fact that events A and B can occur at the same time.
D. If the fact that events A and B cannot occur at the same time.
Answer:
A is the most appropriate answer.
Step-by-step explanation:
if the fact that A occurs does not affect the probability or possibility of B occurring.