Matsuki is very very bored...

34 + 35 x (60/2) - (40/2) = ?

Answer:

67 feet

Step-by-step explanation:

Step one:

given

The area of a rectangular warehouse measures 4,288 square feet

The width of the warehouse is 64 feet long.

Required:

the length of the warehouse

Step two:

The expression for the area of a rectangle is

A= L*W

so, for the situation

4,288= L*64

solve for L

divide both sides by 64

L= 4,288/64

L=67 feet

Answer: 2 one number 2

Step-by-step explanation:

It's is number 2

The required solution of the quadratic equation  (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
Given expression, (4y - 3)² = 72

Simplifying the above expression:
(4y - 3)² = 72

4y - 3 = ±√72
4y - 3 = ±6√2
y = 3 ± 6√2/4

Thus, the required solution of the quadratic equation  (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ7

Answer:

2/3

Step-by-step explanation:

Given that:

Number of students = 80

Number of parents = 40

fraction of the ratio of students to the total number of people at the graduation

Total number of people at graduation =. (number of students + number of parents)

80 + 40 = 120

Number of students : total people

80 : 120

80/120 = 8/12 = 2/3

Answer:

x=23.5

Step-by-step explanation:

[tex]cos59.3=\frac{12}{x}\\x(cos59.3)=12\\x=\frac{12}{cos59.3}\\x=23.5[/tex]

Answer:

The correct answer is 10n ≥ 470.

Step-by-step explanation:

Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.

They already collected 30 canned goods, therefore we can subtract this quantity from out goal.

500 - 30 = 470

Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.

Hope this helps! :D

Answer:

Harry has a score of 30

Step-by-step explanation:

Let us represent their scores as:

Nathan = x

Harry = y

Jack = z

At the end of a football season a coach is adding up everyone's scores

Nathan has scored 11 more than harry

x = y + 11

Harry has scored 10 more then jack.

y = z + 10

z = y - 10

If the total of their scores is 91

x + y+ z = 91

y + 11 + y + y - 10 = 91

3y + 1 = 91

3y = 91 - 1

3y = 90

y = 90/3

y = 30

Since Harry's score is represented as y, Harry has a score of 30

Question

Juan deposited $2,250 in the bank to celebrate the birth of his son. After three years, he received his statement and the bank said he had $2,587.50 in the account.

How much interest did Juan earn in three years?

How much interest did Juan earn per year?

What was the interest rate?

Answer: GOOD LUCK

337 and 112.33

Answer:

337 and 112.33

Step-by-step explanation:

First answer is 337 u take the difference between the 2 numbers. And the interest is 112.33 per year u divide the interest by 3. I hope this helps.

Answer:

The widgets should be sold for $26.7 for the company to make the maximum profit.

Step-by-step explanation:

Given the quadratic equation

[tex]f\left(x\right)=-15x^2+801x-59000[/tex]

As the leading coefficient is (-3), so the graph would be a downward Parabola.

Thus, the maximum profit would be at the vertex.

The selling price 'x' can be determined by determining the x-coordinate of the vertex.

In order to calculate the x-coordinate of the vertex, we can find this by

x = -b/2a

where a = -15 and b = 801

x = -801 / 2(-15)

x = -801/-30

x = 801/30

x = 267/10

x = 26.7

Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.

Answer:

[tex]G' = (1,4)[/tex]

[tex]H' = (-4,5)[/tex]

[tex]I = (-8,2)[/tex]

Step-by-step explanation:

Given

[tex]G = (4,1)[/tex]

[tex]H = (5,-4)[/tex]

[tex]I = (2,-8)[/tex]

Reflection: [tex]y = x[/tex]

Required

Determine the coordinates of G'H'I'

The following applies when a line A is reflected over [tex]y = x[/tex]

[tex]A = (x,y)[/tex]

[tex]A' = (y,x)[/tex]

i.e, we simply swap the positions of x and y

So, for:

[tex]G = (4,1)[/tex]

[tex]H = (5,-4)[/tex]

[tex]I = (2,-8)[/tex]

The reflections are:

[tex]G' = (1,4)[/tex]

[tex]H' = (-4,5)[/tex]

[tex]I = (-8,2)[/tex]

See attachment

Answer: choices for the number in hundreds place =  7 , 8, 9,0

Step-by-step explanation:

Given: Dinesh wrote a number greater than 4699 and less than 5100.

Numbers greater than 4699 = 4700, 4701,.....

Numbers less than 5100 = 5099, 5098 , .....

From 4700 to 5099 , the possible values for hundreds place = 7 , 8, 9,0

So, the choices for the number in hundreds place =  7 , 8, 9,0

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

A right angle is an angle whose measure is equal to [tex]90^{o}[/tex]. As the measure of two right angles equals angle on a straight line, while four right angles equal the sum of angles at a point.

Given: <ABC, <DEF are right angles.

The missing reasons in the steps of the proof are:

A: m<ABC = [tex]90^{o}[/tex] and m<DEF = [tex]90^{o}[/tex] (Meaning of a right angle)

B: m<ABC = m<DEF (By right angle property)

C: <ABC ≅ <DEF (Congruence property of angles)

Answer:

A: definition of right angle

B: substitution property

C: definition of congruent angles

Step-by-step explanation:

Answer:

the value in the five years is  £2,621.44

Step-by-step explanation:

The computation of the value in the five years is given below:

= The value of the second car × (1 - losses percentage)^number of years

= £8,000 × (1 - 0.20)^5

= £8,000 × 0.80^5

= £8,000 ×  0.32768

=  £2,621.44

Hence, the value in the five years is  £2,621.44

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

10.

Step-by-step explanation:

6+1/3*12=6+4=10

Answer: 10

Step-by-step explanation:

Answer:

1. $17 + $7C.

This equation provides the total cost if you want to purchase a music CD along with a music club membership. C represents the amount of CDs you wish to purchase, and since each CD costs $7, the amount of money you would need to purchase C amount of CDs is $7C.

2. $3A.

This equation provides the total cost of the area of carpet you want to purchase. A represents the area of the carpet that you want to purchase, measured in square feet as provided by the question, and since each square foot costs $3, the total cost is $3A.

3. $20M.

This equation provides the total money you earn for allowance after M months. M is the number of months that have passed, and since you earn $20 for allowance every month, the total allowance you have earned is $20M.

4. $200 + $30M.

This equation provides the total cost for joining and staying in a fitness club for M months. The initial cost, $200, is applied no matter how many months you join, so we add it from the start; since each month, M, you have to pay $30, the total amount of membership dues is $30M.

Step-by-step explanation:

Hope this helped!

Answer:

-4x^2 - 8......input (x) = 2

Step-by-step explanation:

-4(2^2) - 8 =

-4(4) - 8 =

-16 - 8 =

- 24 <==

i hope this helps you :)

Answer: the answer is 13.6 units

Step-by-step explanation:

Answer:

C. 13.6 units

Step-by-step explanation:

i took the quiz on edge

Given:

Hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6).

To find:

The equation of hyperbola.

Solution:

We have, directrices at y = ±2 so this hyparabola is along the y-axis.

The standard form of hyperbola is

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]      ...(i)

where, (h,k) is center, foci are [tex](h,k\pm c)[/tex] and directrix are [tex]y=k\pm \dfrac{a^2}{c}[/tex].

On comparing foci, we get

[tex](h,k\pm c)=(0,\pm 6)[/tex]

[tex]h=0,k=0,c=6[/tex]

On comparing directrix we get

[tex]k\pm \dfrac{a^2}{c}=\pm 2[/tex]

[tex]\dfrac{a^2}{c}=2[/tex]

[tex]\dfrac{a^2}{6}=2[/tex]

[tex]a^2=12[/tex]

Now,

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

[tex]12+b^2=(6)^2[/tex]

[tex]b^2=36-12[/tex]

[tex]b^2=24[/tex]

Putting [tex]h=0,k=0,a^2=12,b^2=24[/tex], we get

[tex]\dfrac{(y-0)^2}{12}-\dfrac{(x-0)^2}{24}=1[/tex]

[tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex]

Therefore, the equation of hyperbola is [tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex].

Answer:

the person above has the right answer. I took the test.

Step-by-step explanation:

The person above is correct.

Answer:

64

Step-by-step explanation:

v = s^3

v = (4)^3 [4x4x4]

v = 64

Answer:

m = 3

Step-by-step explanation:

Pick two points from the table.

(-1, 1) and (1, 7)

Apply the slope formula.

[tex]m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

because we have a kite,

AB=AD

4x=x+15

4x-x=15

3x=15

x=5

Answer:

multiply by 1.81

Step-by-step explanation:

Answer:

for the first one the answer is .50 . for the second one you put for every .50 there is 3.50 and for number 3 for 7 is 49

Answer:

y= -1/3x-4

y=2x+2

Step-by-step explanation:

the slope is rise over run

Answer:

2/5

Step-by-step explanation:

2/10+2/10=4/10

4/10 divided by 2/2= 2/5

Hope this helps!

Answer;

2/10 + 2/10 is 4/10 and then simplified it would be 2/5 because 2 goes into both 4 and 10.

2/10 + 2/10 = 4/10

4/10 = 2/5

Hope this Helps!

Discount amount = price x discount percentage as a decimal:

Discount amount = 62.00 x 0.15 = 9.30

Discount = $9.30

Answer:

$52.70

Step-by-step explanation:

Answer:

sin A= 3/5

sin C= 4/5

cos A= 4/5

cos C= 3/5

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:9

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Multiples of 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84

Multiples of 8:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Therefore,

LCM(6, 8, 9) = 72