I need help with this one, its too hard for me

Answer:

Step-by-step explanation:

If we are looking for how long it will take the level to be less than or equal to 64 cups, we are solving an inequality as opposed to an equation. It would look like this:

-.414t + 129.549 ≤ 64  We subtract 129.549 from both sides to get

-.414t ≤ -65.549 and then divide by -.414. But because we are dividing by a negative number we need to change the way the inequality is pointing:

t ≥ 158.3 minutes which is about 2.6 hours

Answer:

t ≥ 158.33, or rounded, t ≥ 160.

Explanation:

The equation we're given is

W = -0.414t + 129.549, which an be written as

-0.414t + 129.549 = W.

We are asked to find the amount of time it would take for the water level to be less than or equal to 64 cups.  Plugging this information in, we have:

-0.414t + 129.549 ≤ 64

To solve this, we first cancel 129.549 by subtracting from both sides:

-0.414t + 129.549 - 129.549 ≤ 64 - 129.549

-0.414t ≤ -65.549

Now divide both sides by -0.414:

-0.414t/-0.414 ≤ -65.549/-0.414

t ≥ 158.33

(When we multiply or divide both sides of an inequality by a negative number, we must flip the inequality symbol)

Answer:

6a+17

Step-by-step explanation:

This is an algebra 'expression' where you have to rearrange the question to the correct 'expression'

4a+2a= 6a

8+9= 17

Answer:

= 4a+2a+8+9

=6a+17

Answer:

abcd is a quadrilateral so ,

a is ( 0,-5 )

b is ( 2,-5 )

c is ( 1,-7 )

and d is ( 0,-7 )

Answer:

192

Step-by-step explanation:

3(pi) x 4^2 x 12 ÷ 3 = 192

Given:

Principal value = $8,008

Rate of interest = 2% compounded 6 times per year.

Time = 16 years

To find:

The account balance after 16 years.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest, n is the number of times interest compounded in an year and t is the number of years.

Putting [tex]P=8,008, r=0.02,n=6,t=16[/tex] in the above formula, we get

[tex]A=8008\left(1+\dfrac{0.02}{6}\right)^{6(16)}[/tex]

[tex]A=8008\left(\dfrac{6.02}{6}\right)^{96}[/tex]

[tex]A=11022.1721148[/tex]

[tex]A\approx 11022.17[/tex]

Therefore, the account balance after 16 years is $11022.17.

9514 1404 393

Answer:

  7.5%

Step-by-step explanation:

The tax as a proportion of the selling price is ...

  ₹(860 -800)/₹800 = 60/800 = 0.075 = 7.5%

Answer:

36 units squared

Step-by-step explanation:

10 times 10 - 4 times 4  = 100-16 = 84, take the square root of 84 = 9.12 which rounds to 9, now that we found the height, we use the area of a triangle formula, A=bh/2, so the base is 8 times height 9 = 72 divided by 2 = 36

Answer:

p = 3

q = 2

Step-by-step explanation:

they have infinitely many solutions, if they are basically the same equations. in other words, when they can be combined/reduced into a statement of tautology, a statement that is always true, no matter what.

like 15 = 15 or 8x = 8x

now we need to aim for creating the same (or multiples of the same) factors in the original equation 2 as in the original equation 1.

in other words we find the p and q, where we get the same ratios between the factors of squadron 1 and equation 2.

2/(p+q+1) = 3/(p+2q+2) = 7/(4p +4q +1)

p+q+1 = 2/3 × (p+2q+2) = 2/7 × (4p + 4q + 1)

3p + 3q + 3 = 2p + 4q + 4 = 6/7 × (4p+4q+1)

21p + 21q + 21 = 14p + 28q + 28 = 24p + 24q + 6

7p - 7q = 7

p - q = 1

p = 1 + q

14(1+q) + 28q + 28 = 24(1+q) + 24q + 6

14 + 14q + 28q + 28 = 24 + 24q + 24q + 6

42 + 42q = 30 + 48q

12 = 6q

q = 2

p = 1 + 2 = 3

Answer:

20 quarts

Step-by-step explanation:

There are  4 quarts in a gallon

5 gallons * 4 quarts / 1 gallon = 20 quarts

Answer:

20 US quarts

Step-by-step explanation:

there are 4 quarts in a gallon so you have to multiply 5 x 4 to get the total amount of quarts in a gallon.

Hope it helps c:

Answer:

8.32*10^2 or

832.08

Step-by-step explanation:

Step-by-step explanation:

here's the answer to your question

Answer:

[tex]\sqrt{41}[/tex]

Step-by-step explanation:

think of this triangle being made up of 2 triangles with the lengths of 5, 4, and x.

x being the hypotenuse, 5 being one of the legs, and 4 being one of the legs. (8/2).

pythagorean theorem:

a^2 + b^2 = c^2

5^2 + 4^2 = x^2

25 + 16 = x^2

41 = x^2

x = sqrt 41

Answer:

A & D

First and last

Step-by-step explanation:

Answer:

A relation is just a set of ordered pairs (x,y) . In formal mathematical language, a function is a relation for which: if (x1,y) and (x2,y) are both in the relation, then x1=x2 . This just says that in a function, you can't have two ordered pairs with the same x -value but different y -values.

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

6a²+11x-10= (3a+5)(3a-2)

Answer:

Solution given:

6a²+11x-10

doing middle term factorisation

6a²+(15-4)x-10

6a²+15x-4x-10

3a(3a+5)-2(3a+5)

(3a+5)(3a-2)

Step-by-step explanation:

if

6a²+11x-10=0

(3a+5)(3a-2)=0

either

a=-5/3

it

a=⅔

Answer:

It would take him 5.9 weeks (rounded). basically almost 6 weeks

Step-by-step explanation:

he makes 6 dollars a week by walking the dog out. he earns 2$ every time he walks the dog out, and he does it 3 times, so 2 x 3 = 6

he makes another 10 dollars a week by babysitting. he earns 2.50$ per hour of babysitting, and he does it for 4 hours per week, so 2.50 x 4 = 10

he makes another 18$ dollars a week by mowing the lawn. he does this once a week. he gets 15$ dollars if he mows, and another 3$ if he pulls weeds. if he does both, he would get 15+3 = 18$ per week by mowing

so add the numbers 6, 10, and 18, and you get 34.

he makes 34 dollars a week

divide the number he wants to make by what he earns in a week to figure out how many weeks it would take.

he wants to get 200$, so the equation is

200 / 34 = 5.88

Its 5.9 rounded or 5.88 weeks exact.

Answer:

6 weeks

Step-by-step explanation:

Job 1:

2 x 3 = 6

$6 per week

Job 2:

2.50 x 4 = 10

$10 per week

Job 3:

15 + 3 = 18

$18 per week

6 + 10 + 18 = 34

$34 per week

200/34 = 5.88

Answer:

The last answer

Step-by-step explanation:

We can check

For example,

a5=-6×a4

a5=-6×(-216)

a5=1296

Answer:

( - 7 + √17 ) / 2, ( - 7 - √17 ) / 2

Step-by-step explanation:

x^2 = - 7x - 8

x^2 + 7x + 8 = 0

Here,

a = 1

b = 7

c = 8

D = b^2 - 4ac

= 7^2 - 4 ( 1 ) ( 8 )

= 49 - 32

D = 17

x = - b ± √D / 2a

= - 7 ± √17 / 2 ( 1 )

x = ( - 7 + √17 ) / 2, ( - 7 - √17 ) / 2

(x-h)²+(y-k)²=r²

(3-h)²+(3-0)²=5²

h²-6h+9+9=25

h²-6h-7=0 —> (h-7)(h+1)=0

h=7 , h=-1

h=7 —> (x-h)²+y²=r² —> (x-7)²+y²=25 —>

x²-14x+49+y²=25 —> x²+y²-14x+24=0

h=–1 —> (x-h)²+y²=r² —> (x+1)²+y²=25 —>

x²+2x+1+y²=25 —> x²+y²+2x–24=0

I hope it helped you ^_^

Answer:

Width = 4.85 feet

Length = 7.85 feet

Step-by-step explanation:

Given:

Perimeter of a rectangle = 25 2/5 ft = 25.4 feet

Length = 3 + Width

Computation:

Assume;

Width = a

So,

Length = 3 + a

Perimeter of a rectangle = 2(l + b)

25.4 = 2[(3 + a) + a]

25.4 = 2[3 + 2a]

25.4 = 6 + 4a

4a = 19.4

a = 4.85

Width = 4.85 feet

Length = 3 + 4.85

Length = 7.85 feet

Answer:

37.68

Step-by-step explanation:

40 -2.32

= 37.68

Answer: is C. 22

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

4*3 = 12

1/2 * 3 * 4  = 6

Answer:

60

Step-by-step explanation:

To get the value of x;

3x:90

(90/3) = 30

x = 30

To get the value of 2x;

(2×X);

2 × 30

=60

Answer:

1. Multiply by 3

2. Multiply by 1/3

Step-by-step explanation:

6x - 3y = 3

-2x + y = -14

1. In order to eliminate the x-terms, they would both have to equal the same number with opposite signs (positive and negative). Since we are only touching the second equation, how can we get from 2 to 6? We can multiply 2 by 3 to get to 6 (negative 6 in the end.) This would result as follows:

6x - 3y = 3

-6x + 3y = 42

2. In order to eliminate the y-terns through multiplying with the first equation, we have to figure out how to make 3y into 1y. We can do this by adding its reciprocal, 1/3. 1/3 × 3 = 1. This would result as follows:

2x - y = 1

tienees que fijartelos extrreemos

Answer:

The denominator will be [tex]5\sqrt{3} +5\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

x = 78

Step-by-step explanation:

We can find angle y

D + B + y = 180 since the sum of the angles of a triangle are 180

31+47+ y =180

78+y = 180

y = 180 - 78

y = 102

x+y = 180 since they form a straight line

x + 102 = 180

x = 180-102

x = 78

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

we have to find the value of the x°=<GHC

In the triangle BDH,

we know that,

Sum of three angle of a triangle is 180°

According to the question,

But,

<GHC and <BHD forms a straight line

so,

Therefore,

The value of x is 78°

x + y = 32 (1)

3x + 4y = 120 (2)

x = 8; y = 24

Step-by-step explanation:

Total students = 120

Number of groups = 32

If the number of three person groups = x

Number of four person groups = y

write a system of equations that models this situation

x + y = 32 (1)

3x + 4y = 120 (2)

From (1)

x = 32 - y

Substitute x = 32 - y into (2)

3(32 - y) + 4y = 120

96 - 3y + 4y = 120

- 3y + 4y = 120 - 96

y = 24

Substitute y = 24 into (1)

x + y = 32

x + 24 = 32

x = 32 - 24

x = 8

x = 8; y = 24

Answers:

============================================================

Explanation:

Let's solve the first equation for y

[tex]18 = (x+y)\frac{1}{3}\\\\18*3 = x+y\\\\54 = x+y\\\\x+y = 54\\\\y = 54-x\\\\[/tex]

Then we'll plug this into the second equation and solve for x

[tex]18 = (x-y)*\frac{3}{5}\\\\18 = (x-(y))*\frac{3}{5}\\\\18 = (x-(54-x))*\frac{3}{5}\\\\18 = (x-54+x)*\frac{3}{5}\\\\18 = (2x-54)*\frac{3}{5}\\\\18*5 = 3(2x-54)\\\\90 = 6x-162\\\\6x-162 = 90\\\\6x = 90+162\\\\6x = 252\\\\x = 252/6\\\\x = 42\\\\[/tex]

This is the average airspeed of the plane, in miles per hour (mph). It's the speed without accounting for the wind. If there's no wind at all, then this would be the ground speed of the plane.

Use this value of x to find y

y = 54-x

y = 54-42

y = 12

The average speed of the wind is 12 mph.