Find all the numbers such that the sum of the number and 24 is greater than 4 times the number

Answer:

Part 1) The slant height of the pyramid is [tex]2.80\ ft[/tex]

Part 2) The length of the third side of the window is [tex]20.78\ in[/tex]

Part 3) The building's slant height is [tex]53.85\ ft[/tex]

Step-by-step explanation:

Part 1) we know that

To find out the slant height of the pyramid, apply the Pythagorean Theorem

Let

l ----> the slant height of the pyramid

h ---> the height of the pyramid

b ---> the length side of the square base

[tex]l^2=h^2+(b/2)^2[/tex]

we have

[tex]h=2.5\ ft\\b=2.5\ ft[/tex]

substitute the given values

[tex]l^2=2.5^2+(2.5/2)^2[/tex]

[tex]l^2=2.5^2+(1.25)^2[/tex]

[tex]l^2=7.8125[/tex]

[tex]l=2.80\ ft[/tex]

Part 2) Let

c ----> the hypotenuse of a right triangle (the greater side)

a ---> the measure of one leg of the right triangle

b ---> the measure of the other leg of the right triangle

Applying the Pythagorean Theorem

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

we have

[tex]c=24\ in\\a=12\ in[/tex]

substitute the given values and solve for b

[tex]24^2=12^2+b^2[/tex]

[tex]b^2=24^2-12^2[/tex]

[tex]b^2=432[/tex]

[tex]b=20.78\ in[/tex]

Part 3) Let

l ----> the building's slant height

h ---> the height of the building

r ---> the radius of the base of the building

Applying the Pythagorean Theorem

[tex]l^2=h^2+r^2[/tex]

we have

[tex]h=50\ ft\\r=20\ ft[/tex]

substitute the given values

[tex]l^2=50^2+20^2[/tex]

[tex]l^2=2,900[/tex]

[tex]l=53.85\ ft[/tex]

Answer:

hi there!

the correct answer is:  one hour and 4 mins

Step-by-step explanation:

well first of all you want to convert 7 3/5 hours to minutes which you will get 456 minutes

then you want to subtract 72 mins (30+42) from 456 and you get 384

then since there are 6 classes a day, you will divide 384 by 6 to get 64 so each class is one hour and 4 mins

Answer:

1 1/15 hours each class

Step-by-step explanation :

I'm pretty sure this is the answer and here is why :

7 3/5 = 456 in minutes

30  + 42 = 72

384 divided by 60 = 6.4

and

6.4 divided 6 = 1. 066666667 so the answer choices :

1 1/15 hr - 1 3/20 - 1 11/60 - 1 4/15

There would only be one correct answer and it is 1 1/15 here's why :

We get that the one stands for hours but 1 divided by 15 equals = 0.066666667 and it matches our answer from before.

Answer:

f(6)=10

Step-by-step explanation:

6-3=3

3^2=3*3=9

9+1=10

Answer: .875

Step-by-step explanation: To write 7/8 as a decimal, it's important to understand that 7/8 means the same thing as 7 divided by 8 so we need to treat this as a division problem.

The first thing you want to ask yourself is how many times does 8 go into 7. Well, 8 doesn't go into 7 so we need to add a decimal point and then a 0 and then ask yourself how many times does 8 go into 70 which is 8 times. So we put an 8 above the 0 and 8 x 8 is 64 so we have 70 - 64 which is 6.

Now, we are not done yet because we still have a remainder. Now ask yourself how many times does 8 go into 6. Since 8 doesn't go into 6, we add another 0 and bring it down and we can now ask ourselves how many times does 8 go into 60 which is 7 times. 7 x 8 is 56 and we subtract it from 60 to get a difference of 4.

We still don't have a remainder of 0 so we continue this process. 8 doesn't go into 4 but it does go into 40 5 times. 5 x 8 is 40 and 40 - 40 is 0. Now we have a remainder of 0 and we know that 7/8 is equivalent to .875.

This would be an example of a terminating decimal because it eventually ends.

Answer:

There are 6

Step-by-step explanation:

X * 1/8 = 3/4

X = (3/4) * 8

X = 6

Answer:

Step-by-step explanation:

c = cats, d = dogs

c + d < = 8......thats less then or equal (because there can be no more then 8 animals in the van ...thats all it can carry

16c + 35d < = 225.....thats less then or equal (because each 16 lb cat and each 35 lb dog CANNOT have a total weight over 225...it would have to be less or equal to

Meaghan must adopt 8 cats to maintain the same ratio of cats to dogs.

Step-by-step explanation:

Currently , Brett has 2 dogs while Meaghan has four times as many cats. This means Meaghan has 4*2 cats, hence current ratio for dogs to cats is;

2dogs : 8 cats

2:8

1:4

Brett adopts two more dogs, meaning total number of dogs will be; 2+2 =4

New ratio

dogs :cats

4:8

However to maintain the previous ratio of 1:4, number of cats should be ;

1=4

4=?----cross product

=16

For the ratio to be maintained, dogs to cat number should be

4:16

The number of cats to be adopted should be ; 16-8 =8 more cats

Learn More

Ration :https://brainly.com/question/1677203

Keywords : dogs, cats. ratio, adopt, maintain

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Answer:

8.

Step-by-step explanation:

Answer:

It would take the race car 10 seconds to go around the track one time.

Step-by-step explanation:

3/4 minutes = 45 seconds

This means 4 1/2 laps of the track is 45 seconds

4 1/2 = 45

Divide both sides by 4 1/2 to find the length of time to complete 1 lap

1 time around the track = 10 seconds

Answer:

1/6

Step-by-step explanation:

3/4 divided by 4 1/2 = 1/6

The time is 3 years that needed for $600 to accumulate $72 in simple interest at a rate of 4%.

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest,

then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.

To calculate;

4% of 600 is 24.

We have;

72/24=3

3 years, months, weeks, etc.

The time is 3 years that needed for $600 to accumulate $72 in simple interest at a rate of 4%.

Learn more about simple interest here:

https://brainly.com/question/5319581

#SPJ2

Answer:

  (a) {-3, 2}

  (b) {3, 4}

Step-by-step explanation:

The high points are (-3, 3) and (2, 4).

The x-values at which the function has a local maximum are {-3, 2}.

The local maximum values are {3, 4}.

_____

Your answer box probably doesn't want the curly brackets and maybe not the spaces, either. Those brackets are used to identify a set of values.

The best answers to your questions are :

From the graph attached the high points that can be seen on the graph are ;  (-3,3) and (2, 4).

therefore the x-values at which the function f will have a local maximum will be  ( -3, 2) while  All local maximum values will be ( 3, 4 )

The Local maximum point on the graph of a function is a point (x,y) where the value of y ( y coordinate ) has the highest value when compared with the value of other y-coordinates.

Hence ; All values at which f has a local maximum = ( 3,2 ) while All local maximum values of f = ( 3,4 )

learn more : https://brainly.com/question/10772663

Answer:

0.64 ounces

Step-by-step explanation:

64 ounces in total ÷ 100 equal sized cupcakes

Hope my explanation helped

Answer: The answer is 0.64 ounces

Step-by-step explanation:

Answer:

this is the correct ans

Good evening ,

Answer:

25 matches

Step-by-step explanation:

it’s clear that we are in proportionality situation:

10 —————->40%

x  —————>100%

then  x = (10×100)÷40 = 25.

:)

Answer:

309 feet

Step-by-step explanation:

given that the height can be represented by a quadratic equation, we can say that the general form of the equation will look something like this:

h(x) = Ax² + Bx + C

we know that at the starting point of the launch that time = 0 (i.e x = 0) and hence h (x) = 0, if we substitute this into our equation, we can find the value for C

h(0) = A(0)² + B(0) + C = 0

C = 0

Hence the equation becomes

h(x) = Ax² + Bx

Given when x = 1, h(1) = 121,

121 = A(1)² + B(1)

A + B = 121 ------> eq 1

Given when x = 2, h(2) = 224,

224 = A(2)² + B(2)

4A + 2B = 224 (divide both sides by 2)

2A + B = 112------> eq 2

Solving the system of equations which comprise eq 1 and eq 2 using your favorite method, we end up with A = -9 and B = 130

our equation becomes:

h(x) = -9x² + 130x

when x = 3

h(3) = -9(3)² + 130(3) = 309 feet

Answer:

the cost of running the boarding

house for 600 students is N61,000

Step-by-step explanation:

Let C represents cost

K1 represents first constant

K2 represents second constant

C= k1+k2n

3500 = k1 + 25 k2............. Eqn(1)

6000= k1 + 50 k2 .............. Eqn(2)

Subtract eqn(1) from eqn(2)

2500= 25k2

K2= 2500/25

K2= 100

To get k1 from eqn(1)

3500 = k1 + 25 k2

Substitute the value of k2

3500 = k1 + 25 (100)

3500= k1 +2500

K1= 3500- 2500

K1= 1000

The equation connecting them;

C= 1000+ 100n

The cost of running the boarding

house for 600 students is

n= 600

C= 1000+ 100(600)

C= 1000+60000

C= N 61,0000

Answer:

3x+7

Step-by-step explanation:

product means to multiply

$ 159,744.59 will be in the account after 20 years.

Answer: Option A

Step-by-step explanation:

Need to find out the amount present in the account after 20 years. The formula to find out the future value is,

          [tex]\text {Future value}=p \times\left(\frac{\left(1+\frac{r}{n}\right)^{n t}-1}{\frac{r}{n}}\right)[/tex]

Here  

p : amount deposit monthly =$500

r : rate of interest  = [tex]\frac{2.75}{100}[/tex] = 0.0275

n : 12(compound monthly)

t : time =20

By substituting all the given datas in the above equation, we get

    [tex]\text { Future value }=500 \times\left(\frac{\left(1+\frac{0.0275}{12}\right)^{240}-1}{\frac{0.0275}{12}}\right)[/tex]

    [tex]\text {Future value}=500 \times\left(\frac{(1+0.002291)^{240}-1}{0.002291}\right)=500 \times\left(\frac{(1.732)-1}{0.002291}\right)[/tex]

   [tex]\text { Future value }=500 \times\left(\frac{0.732}{0.002291}\right)=500 \times 319.511=\$ 159,744.99[/tex]

3X-2

=216-2

= 214

214 is the answer...

Answer:

The weight of the turtles together is [tex]500\ pounds[/tex]

Step-by-step explanation:

we know that

To find out the weight of the 2 sea turtles together, adds the weight of one turtle plus the weight of the other turtle and then round to the nearest hundred

step 1

Adds the weight of the two turtles

[tex]264+186=450\ pounds[/tex]

step 2

Round to the nearest hundred

Remember that

To Round a number

a) Decide which is the last digit to keep  

b) Leave it the same if the next digit is less than [tex]5[/tex] (this is called rounding down)  

c) But increase it by  [tex]1[/tex] if the next digit is  [tex]5[/tex] or more (this is called rounding up)

In this problem we have

[tex]450[/tex]

We want to keep the digit [tex]4[/tex]

The next digit is [tex]5[/tex] which is 5 or more, so increase the "4" by 1 to "5"

therefore

The weight of the turtles together round to the nearest hundred is [tex]500\ pounds[/tex]

Answer:

A table

Step-by-step explanation:

A table has four legs ( supports) but cannot possibly walk because it is not a living thing. For example, see the table in the attachment, it has four legs (supports) but cannot possibly walk.

Answer:

Table

Step-by-step explanation:

Answer:

x = -6; y = 2 is the solution of the given system of equations.

Step-by-step explanation:

The given equations are :

y = 5x + 32        .......(1)

y = -4x - 22        .......(2)

Substituting the value of 'y' from equation (1) in equation (2), we get

   5x + 32 = -4x - 22

⇒5x + 4x = -22 - 32

⇒9x = -54

⇒x = (-54) ÷ 9

⇒x = -6

Put x = -6 in equation (1), we get

y = 5 × (-6) + 32 = -30 + 32 = 2

So, x = -6; y = 2 is the solution of the given system of equations.

Answer:

Step-by-step explanation:

y = 5x + 32

y = -4x - 22

u can solve this by substitution......u can start with either equation....i will start with the first one....y = 5x + 32.....so sub in 5x + 32 in for y, back into the second equation.

y = -4x - 22

5x + 32 = -4x - 22....add 4x to both sides

5x + 4x + 32 = -22 ....subtract 32 from both sides

5x + 4x = -22 - 32 ....combine like terms

9x = - 54 ....divide by 9

x = -54/9

x = -6

now we sub -6 in for x in either of the original equations to find y

y = 5x + 32

y = 5(-6) + 32

y = -30 + 32

y = 2

lets check it..  (-6,2)

y = 5x + 32                                y = - 4x - 22

2 = 5(-6) + 32                            2 =  -4(-6) - 22                  

2 = -30 + 32                               2 = 24 - 22

2 = 2 (correct)                            2 = 2 (correct)

yep, ur solution is : x = -6 and y = 2......or (-6,2)

Answer:

The number of pennies are 6 and number of nickels are 8.

Step-by-step explanation:

Given:

Serenity has $0.46 worth of pennies and nickels.

She has a total of 14 pennies and nickels altogether.

Now, to find the number of pennies and the number of nickels she has.

Let the number of pennies be [tex]x[/tex].

And the number of nickels be [tex]y[/tex].

So, the number of pennies and nickels altogether are:

[tex]x+y=14.[/tex]

[tex]x=14-y.[/tex]........( 1 )

As given total worth = $0.46.

And the value of a penny is $0.01 and the value of a nickel is $0.05.

Now, the total worth of pennies and nickels:

[tex]0.01x+0.05y=0.46[/tex]

Putting the value of equation ( 1 ) in the place of [tex]x[/tex].

[tex]0.01(14-y)+0.05y=0.46[/tex]

[tex]0.14-001y+0.05y=0.46[/tex]

[tex]0.14+0.04y=0.46[/tex]

Subtracting both sides by 0.14 we get:

[tex]0.04y=0.32[/tex]

Dividing both sides by 0.04 we get:

[tex]y = 8.[/tex]

So, the number of nickels = 8.

Now, putting the value of [tex]y[/tex] in equation ( 1 ) we get:

[tex]x=14-8[/tex]

[tex]x=6.[/tex]

Thus, the number of pennies = 6.

Therefore, the number of pennies are 6 and number of nickels are 8.

Answer:

62-58=d

Step-by-step explanation:

Answer:

um 62 - 58 = x?

oo or m - t = 4 but prolly the first one lol

Answer:

A

Step-by-step explanation:

Rate of change for x is constant:

1-0 = 1

2-1 = 1

3-2 = 1

it's all the same so it's constant.

Ratio of y is not constant:

12/8 ≠ 24/12 ≠ 52/24

I'm guessing it's A. Previous answer was my bad

Answer: Choice A) No. All of the x values have a constant difference, but the y values do not have a constant ratio.

Explanation:

The x values increase by 1 each time. So the constant difference is 1. We can see this by subtracting adjacent values such as 4-3 = 1 or 5-4 = 1 and so on.

The y values do not have the same constant ratio. Divide each y term by its previous value

12/8 = 1.5

24/12 = 2 ... we can stop here but I'll keep going to list all the ratios

52/24 = 2.167 approximately

We get different results each time we divide the y values. So this shows we do not have an exponential function.

Answer:

Part 1) [tex]x=\frac{10\sqrt{3}}{3}\ units[/tex]

Part 2) [tex]y=5\ units[/tex]

Step-by-step explanation:

step 1

Find the value of x

In the right triangle of the figure

[tex]sin(30^o)=\frac{(5\sqrt{3}/3)}{x}[/tex] ---> opposite side angle of 30 degrees divided by the hypotenuse

Remember that

[tex]sin(30^o)=\frac{1}{2}[/tex]

substitute

[tex]\frac{1}{2}=\frac{(5\sqrt{3}/3)}{x}[/tex]

solve for x

[tex]x=\frac{5\sqrt{3}}{3}(2)[/tex]

[tex]x=\frac{10\sqrt{3}}{3}\ units[/tex]

step 2

Find the value of y

In the right triangle of the figure

[tex]cos(30^o)=\frac{y}{x}[/tex] ---> adjacent side angle of 30 degrees divided by the hypotenuse

we have

[tex]x=\frac{10\sqrt{3}}{3}\ units[/tex]

[tex]cos(30^o)=\frac{\sqrt{3}}{2}[/tex]

substitute

[tex]\frac{\sqrt{3}}{2}=\frac{y}{\frac{10\sqrt{3}}{3}}[/tex]    

[tex]y=(\frac{\sqrt{3}}{2})(\frac{10\sqrt{3}}{3})[/tex]

[tex]y=5\ units[/tex]

Answer:

1. 0.90m + 3 > 0.60m + 4; 2. 4.50v + 8.50 < 6.00v  

Step-by-step explanation:

1. Taxis

  Let A = cost of Taxi A

 and B = cost of Taxi B

Then A = 0.60m + 4

 and B = 0.90m +3

If B > A, then

0.90m + 3 > 0.60m + 4

2. Video games

  Let A = monthly cost at Store A

 and B = monthly cost at Store B

Then A = 4.50v + 8.50

  and B = 6.00v

If A < B, then

4.50v + 8.50 < 6.00v

Answer:

left A

bottom B

long slant C

left (A) and bottom (B) can mix and match though.

Answer:

x+2

Step-by-step explanation:

we know that

To find out the factors of a polynomial, determine the x-intercepts or zeros of the polynomial

Remember that

The x-intercepts of a polynomial are the values of x when the value of the polynomial is equal to zero

In this problem

Looking at the graph

For x=-2, f(x)=0

so

x=-2 is an x-intercept or zero of the polynomial

To find out the factor move the constant to the left side and equate to zero

[tex]x=-2[/tex]

adds 2 both sides

[tex]x+2=-2+2\\x+2=0[/tex]

therefore

The factor is (x+2)

Answer:

the answer is C

X+2

Step-by-step explanation:

Answer:

a² + b² = 22

Step-by-step explanation:

Note that

(a + b)² = a² + 2ab + b², thus

a² + b² = (a + b)² - 2ab = 6² - (2 × 7) = 36 - 14 = 22