A triangle has a base of 10 cm its other sides are both 13cm long calculate the area

[tex]6(2-4y) +4(6y-2)<4(y+4)[/tex] (distribute)

[tex]12-24y+24y-8<4y+16[/tex] (collect like-terms)

[tex]12-8<4y+16\\4<4y+16\\-4y<16-4\\-4y<12\\y>\frac{12}{-4}[/tex] (we flipped the sign because we divided by a negative)

[tex]y>-3[/tex]

Answer:

126

Step-by-step explanat

(30)(15) - (72%)

Answer:

$1296

Step-by-step explanation:

paycheck in 1 month: $15/hour * 30 hours/week * 4 weeks/month = $1800/month

net pay = 72% of paycheck in 1 month = 72% of $1800 =

= 0.72 * $1800 = $1296

Answer:

Step-by-step explanation:

sweet

Answer:

44

Step-by-step explanation:

4(2)4 - 2(7)2 + 40

32 - 28 + 40

44

Answer: 6

Step-by-step explanation:

4a^4-2b^2+40, given a=2 and b=7

 4a^4-2b^2+40

=4(2)^4-2(7)^2+40

=4(16)-2(49)+40

=64-98+40

=-34+40

=6

Hope this helps!! :)

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Answer:

12* ( 4+5)

Step-by-step explanation:

48 = 12 * 4

60 = 12 * 5

48 + 60 = 12*4 + 12*5

             = 12*( 4 + 5)

            = 12* 9

            = 108

Answer:

The total is: 74$

Step-by-step explanation:

1.50$ times 40 equals 60. Then you have to add up the cost you usually get per month which is 14$. 60 plus 14$ = 74$

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The total money to pay in a month in which she downloaded 40 songs is $74.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost per month for streaming music = $14

Cost per song for download = $1.50

Total cost for downloading 40 songs.

= 40 x 1.50

= $60

The total cost for the month.

= Monthly charges + Cost of downloading 40 songs

= $14 + $60

= $74

Thus,

The total money to pay in a month in which she downloaded 40 songs is $74.

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Answer:

Step-by-step explanation:

f(x) = x - 5

g(x) = 3x² - 1

To find (fºg)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)

That's

We have the final answer as

Hope this helps you

Answer:

3

Step-by-step explanation:

15-2x=3x

or,3x+2x=15

or,5x=15

or,x=15/5

Therefore, x=3.

Answer:

2, 15

Step-by-step explanation:

LCM= Lowest Common Denominator

4, 30 divided by 2 is the lowest because you cant do 3 because ti wouldn't work for (4) and it wouldn't be 4 because it would make 30 into 7.5 which is not right

so the answer is 2, 15

The approximate probability that Ankit will make all three shots is 0.405 or 40.5%.

A probability distribution known as the binomial distribution is used to characterize the number of successes in a certain number of independent trials, where each trial has only one of two potential outcomes (success or failure) and the chance of success is constant across all trials. For determining the likelihood of achieving a certain number of successes in a set number of trials, it is utilised.

Given, Ankit makes 74% of the free throws.

Using binomial distribution we have:

[tex]P(X=k) = (n C k) * p^k * (1-p)^{(n-k)}[/tex]

For k = 3 we have:

[tex]P(X=3) = (3 C 3) * 0.74^3 * (1-0.74)^{(3-3)}\\\\P(X=3) = 0.74^3[/tex]

P(X=3) ≈ 0.405

Hence, the approximate probability that Ankit will make all three shots is 0.405 or 40.5%.

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Answer:

The area of the new triangle is 180 m²

Step-by-step explanation:

let the height of the triangle = h

let the base of the triangle = b

The area of right triangle is given by;

A =  ¹/₂bh

20 = ¹/₂bh

If we multiple each side of the triangle by 3, the new area of the triangle will be as follows;

A= ¹/₂(3b)(3h)

A = ¹/₂(9) (bh)

A = 9(¹/₂bh)

A = 9(20)

A = 180 m²

Therefore, the area of the new triangle is 180 m²

Answer: D

Step-by-step explanation:

Answer: $2800

Step-by-step explanation:

if the function is f(x) and shes already saved $1000 plug in the functions, or in other words plug in x for weeks.

1000 + 150 x

(plug in x)

1000 + 150 x 12

so now you do 150 x 12 which equels 1800

then add how muh shes saved and thats will be your total.

Answer:

Step-by-step explanation:

- 6x + 9 > 7x + 74

Treat them as being equal first.

Subtract 9 from both sides.

- 6x + 9 - 9 > 7x + 74 - 9

- 6x > 7x + 65

Subtract 7x from each side

- 6x - 7x > 7x - 7x + 65

- 13x > 65

Divide each side by -13

- 13x / -13  > 65 / -13

x < -5

So x hust be smaller than -5 meaning -6 works but -4 doesn't.

Answer:

This really is about trial and error

28-24/(4*2)=25

Step-by-step explanation:

If you do this correctly, the numbers you'll get are 28-3 = 25!

Hope this helps!! :)

Answer:

I think this is the answer

Answer:

report that dude the answer is:

-7.75

Step-by-step explanation:

(1/2)^2 - 6(2 - 2/3)

First we get rid of the exponent 2 by muliplying the (1/2) two times.

(1/2)×(1/2) = 1/4

Now we have:

1/4 - 6(2 - 2/3)

Now we solve the equation in the other paraenthesis:

(2 - 2/3) = 1 1/3

Now we plug it back in:

1/4 - 6(1 1/3)

Now we mulitply the 6 with the fraction 1 1/3 in the paraenthesis:

6(1 1/3) = 8

Now we plug it back in:

1/4 - 8

Now finally solve this fraction:

-7.75

Answer:

[tex] - 4.67[/tex]

Step-by-step explanation:

[tex] \frac{p}{2 - 5} = \frac{14}{2 - 5} = \frac{14}{ - 3} = - 4.67[/tex]

Answer:

work shown and pictured

Answer:

x=5 and y=2

Step-by-step explanation:                              

[tex]x=y+3\\x=2+3\\x=5[/tex]                           [tex]x+y=7\\y+3+y=7\\2y+3=7\\2y=7-3\\2y=4\\ \frac{2y}{2}=\frac{4}{2}\\ y=2[/tex]                    

The solution of the system, x + y = 7, x = y + 3 is x = 5 and y = 2.

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.

Given:

x + y = 7

x = y + 3

Write both equations as shown below,

x = -y + 7

x = y + 3

Add both equations,

x + x = -y + y + 7 + 3

2x = 10

x = 5,

5 = y + 3

y = 5 - 3

y = 2

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Answer:

the price per book is $3 the constant of proportionality is 3

Step-by-step explanation:

12 divided by 4 is 3 and 9 divided by 3 is 3 so it means that the price for 1 book is going to be 3 and for every book you buy the original value will be 3.

Answer:

Linear

Step-by-step explanation:

It goes up by 2 each time, so it would be linear.

Answer:

each

Step-by-step explanation:

Answer:

a: 2.234

Step-by-step explanation:

i checked after i took the test. its right, enjoy

The size of the square cut from each corner will be 1.369 inches. The correct option is C.

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.

Given that a box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting squares of equal size from each corner and folding up the flaps.

The size of the square cut from each corner will be calculated as,

Volume = L x H x W

1000 = 22 x 30 x H

H = ( 1000 ) / ( 660 )

H = 1.538 or 1.369 inches

Therefore, the size will be 1.369 inches.

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Answer: $1.17 per drink

Step-by-step explanation:

Let x=the cost of one drink

11.5+6x=18.5

subtract 11.5 on both sides

11.5+6x-11.5=18.5-11.5

6x=7

Divide 6 on both sides

6/6 x=7/6

x=7/6

7/6≈$1.17

Hope this helps!! :)

Please let me know if you have any question

Answer:

y =2

Step-by-step explanation:

Inverse variation is of the form

xy = k

3*6 = k

18 = k

xy = 18

Now when x = 9, find y

9*y = 18

Divide by 9

y = 18/9

y =2

When x =9, y =2

Answer:

y = 2

Step-by-step explanation:

y = 6   ⇔  x= 3

y = ?   ⇔   x = 9

y = 6*3/9

y = 2

Answer:

D

Step-by-step explanation:

So, one friend rolled a 1 and the other rolled a 3. Taylor needs to roll a number higher than both friends in order to win.

So, the possible numbers Taylor can roll to win are 4, 5, or 6.

Out of the six possible choices, 4, 5, and 6 is takes up 3. Thus, the chances of Taylor winning is:

[tex]3/6=50\%[/tex]

The answer is D.

Answer:

Temperature at 9 A.M =  13° F

Step-by-step explanation:

Given:

Temperature at 6 A.M = - 2° F

Temperature increases in 3 hours =  15° F

Find:

Temperature at 9 A.M

Computation:

Temperature at 9 A.M = Temperature at 6 A.M + Temperature increases in 3 hours

Temperature at 9 A.M =  - 2° F + 15° F

Temperature at 9 A.M =  13° F

Answer:

27

Step-by-step explanation:

if you add 4 to 3 you get 7 and if you add 4 to 7 you get 11 so keep adding 4 to all the numbers and you will get the next number.

Answer:

The pattern is going by 4 so your next number would be 27

Step-by-step explanation:

Count from 3 to reach 7 then you get 4 same goes for the rest of the numbers so if you count 4 more of 23 you get 27

Hope that answered ur question