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dimaraw [331]
4 years ago
8

Hannah got a perfect score on 3 more spelling quizzes this quarter than last quarter . If she doubles the number of perfect quiz

zes she had this quarter , she will tie the school record. The record is 3 times the number of spelling quizzes hannah scores perfectly on last quarter.

Mathematics
1 answer:
algol134 years ago
7 0
First, underline the key numbers

n=Perfect Quizzes last quarter

x=School record

n+3

3•2=x

Now we solve that

3•2=6

Now we know, x=6

If the record (6) is 3 times the number of spelling quizzes Hannah scored perfectly last quarter (n), then we know we have to divide the record (6) by 3 to know how many perfect quizzes were from last quarter.

6/3=2 so, n=2

The number of perfectly scored quizzes from last quarter is 2.

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Mrs wang is 23 years older than her daughter. I’m 5 years, their age will total 63. How old is each now?
Rom4ik [11]

Answer:

Mrs. Wang is 38 years old and her daughter is 15 years old.

Step-by-step explanation:

Explanation:

Let

x

=

the daughter's age

Mrs. Wang is

23

years older, so her age is

x

+

23

In five years, the daughter will be

x

+

5

years old

In five years, Mrs. Wang will be

x

+

23

+

5

=

x

+

28

years old

And, in five years the sum of their ages will be 63, so...

x

+

5

+

x

+

28

=

63

Combine like terms

2

x

+

33

=

63

a

a

−

33

a

−

33

a

a

a

Subtract 33 from both sides

2

x

a

a

a

a

a

=

30

2

x

2

=

30

2

a

a

a

Divide both sides by 2

x

=

15

a

a

a

The daughter is 15

x

+

23

=

15

+

23

=

38

a

a

a

Mrs. Wang is 38

8 0
4 years ago
Find The Surface Area Of The Prism!
Dmitry_Shevchenko [17]

Answer:

288

Step-by-step explanation:

the formula is 2(lw+wh+hl)

length - 8

width - 8

height 5

substitute the values and you get

2(64+40+40)

2(144)

= 288

7 0
3 years ago
Read 2 more answers
Which best describes the centroid of a triangle?
aivan3 [116]

Answer:

Option: B is the correct option:

B. The point where the three medians of the triangle intersect

Step-by-step explanation:

We know that the centroid of a triangle is the point where the three medians of the triangle intersect.

<em>The centroid of a triangle is also known as the center of gravity of the triangle.</em>

The median of a triangle is a line segment that is drawn form a vertex of a triangle such that it meets the opposite site of the triangle at the mid-point.

<em></em>

3 0
4 years ago
Read 2 more answers
A steel ball is dropped from a building’s roof and passes a window, taking 0.125 s to fall from the top to the bottom of the win
Anna35 [415]

Answer:

20.425 m

Step-by-step explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration due to gravity = 9.81 m/s²

s=ut+\frac{1}{2}at^2\\\Rightarrow u=\frac{s-\frac{1}{2}at^2}{t}\\\Rightarrow u=\frac{1.2-\frac{1}{2}\times 9.81\times 0.125^2}{0.125}\\\Rightarrow u=8.98\ m/s

Now this will the final velocity when it reaches the top of the window

v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{8.98^2-0^2}{2\times 9.81}\\\Rightarrow s=4.11\ m

v=u+at\\\Rightarrow v=8.98+9.81\times 0.125\\\Rightarrow v=10.21\ m/s

If the upward flight is an exact reverse of the downward flight then the time taken while going down will be 1 second and going up will be 1 second.

s=ut+\frac{1}{2}at^2\\\Rightarrow s=10.21\times 1+\frac{1}{2}\times 9.81\times 1^2\\\Rightarrow s=15.115\ m

Hence total height of the building is 4.11+1.2+15.115 = 20.425 m

4 0
3 years ago
Bruh what do i do pls help
stira [4]

Answer:

So the answer is going to be in the lower left Quadrant. Go down 6 and left 7 and it will be a radius of 2 so it would stretch 2.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

3 0
3 years ago
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