Evaluate the expression (-1/2)^3

This shows that there are 141 men and 21 women in the meeting

Let the number of men present be x

Let the number of women present be y

If the total number of students present in the meeting is 162, hence;

x + y = 162 ............ 1

If  there were 15 men more than 6 times the women, then;

x = 6y + 15 ...................2

Substitute equation 2 into 1:

6y + 15 + y = 162

7y + 15 = 162

7y = 162 - 15

7y = 147

y = 21

Recall that x = 6y + 15

x = 6(21) + 15

x = 126 + 15

x = 141

This shows that there are 141 men and 21 women in the meeting

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Answer:

4x3=12

12x4=48

48/12=4

48/4=12

Step-by-step explanation:

Answer:

$18.34

Step-by-step explanation:

Answer:

19y - 9

Step-by-step explanation:

- 3(- 4y + 3) + 7y ← multiply each term in the parenthesis by - 3

= 12y - 9 + 7y ← collect like terms

= 19y - 9

Answer:

24 g

Step-by-step explanation:

60/100x40

2400/100

24

Answer:

11

Step-by-step explanation:

44 dollars after 4 days so 44 divided by 4 = 11

Step-by-step explanation:

option B is correct answer ( Acute angle triangle)

hope this helps you.

Answer:

Acute triangle

Step-by-step explanation:

Acute triangle have less than 90 degrees

Answer:

The first step would be to add the problem.

The second step would be for us to answer it.

The third and final would be appreciation.

Answer:

1st rule: Reflection over the X-axis, (x,y) -> (x , -y)

2nd rule: Horizontal translation to the RIGHT 6 units (x , -y) -> (x+6 , -y)

Step-by-step explanation:

1st rule: Reflection over the X-axis, (x,y) -> (x , -y)

2nd rule: Horizontal translation to the RIGHT 6 units (x , -y) -> (x+6 , -y)

MJS: (4,-4) (-2,-3) (-3,1) -> (-4,4) (-2,3) (-3,-1) -> (2,4) (4,3) (3,-1)

They are congruent!!

Answer:

Step-by-step explanation:

The first member of the pattern is 5

Thereafter, you subtract 2 from the member on the left

5 - 2 = 3

3 - 2 = 1

1 - 2 = - 1

Answer:

g(f(x)) = x

Yes, the functions are inverses.

Step-by-step explanation:

Hi there!

We're given:

[tex]f(x) = 8x-7[/tex]

[tex]g(x)=\displaystyle\frac{x+7}{8}[/tex]

To solve for g(f(x)), plug f(x) into g(x) as x:

[tex]g(f(x))=\displaystyle\frac{(8x-7)+7}{8}\\\\g(f(x))=\displaystyle\frac{8x-7+7}{8}\\\\g(f(x))=\displaystyle\frac{8x}{8}\\\\g(f(x))=x[/tex]

Because g(f(x)) = x, the two functions are inverses.

I hope this helps!

a) 314.285728572857.......

b) i think 5.4 boxes

c) its an under estimate cuz actual value is more than 5

Step-by-step explanation:

a) To find the area of her garden, you need to know the area of a circle: πr²

diameter = 20m

radius = 10m

3.14 × 10² = 314m²

b) If 1 box covers 58m², then we need to work out how many 58m² can fit into her garden, but because its an estimate we round the numbers to 1 significant figure

314 ÷ 58 ≈ 300 ÷ 60 = 5

c) The answer is an underestimate because the actual value is 5.4137...

314 ÷ 58 = 5.4137..

Answer:

I'm only able to see a black square instead of any image. Could you resend it?

Answer:

3500

Step-by-step explanation:

if you rounding 0.7306 up to nearest euro its equal to a dollar

The number of euros that Varia can expect to pay per month to the university will be € 213.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university, however, she must pay in euros.

We know that the conversion is 0.7306 euros = 1 US dollar. Then the number of euros per year is given as,

⇒ $3,500 x 0.7306

⇒ €2,557.1

Then the number of euros that Varia can expect to pay per month to the university will be given as,

⇒ €2,557.1 / 12

⇒ € 213.09

⇒ € 213

The number of euros that Varia can expect to pay per month to the university will be € 213.

More about the conversion link is given below.

https://brainly.com/question/9414705

#SPJ2

Answer:

simple ( principal *rate*time)/100.

3500*4*10/100 = 1400 interest

account balance =3500+1400=4900

compound p(1+r)^t

3500(1+.04)^10 =3500* 1.480=5180

interest earned = 5180-3500= 1680

how much more interest. ; 1680-1400=280

Answer:

Step-by-step explanation:

Simple Interest:

Simple Interest formula is S.I. = P × r × t

Interest Eared: $3,500 × 0.04 × 10 = $1,400

Account Balance formula is A = P ( 1 + rt )

Account Balance: $3,500 + $1,400 = $4,900

Compound Interest:

Compound Interest formula: [tex]A =P(1+r)^{t}[/tex]

Account balance: $5,180.85

Interest Earned: $5,180.85 - 3,500.00 = $1,680.85

In the United States, the Interstate Highway standards for the Interstate Highway System use a 12 ft (3.7 m) standard lane width, while narrower lanes are used on lower classification roads. In Europe, laws and road widths vary by country; the minimum widths of lanes are generally between 2.5 to 3.25 m (98 to 128 in).

Answer:

[tex]d=2[/tex] and [tex]d=3[/tex]

Step-by-step explanation:

[tex]d^2-5d+6=0[/tex]

[tex](d-2)(d-3)=0[/tex]

[tex]d=2[/tex] and [tex]d=3[/tex]

Answer:

If you pay $38.50 for 12 pounds of apples it costs $3.20833333333 per pound.

Step-by-step explanation:

Jake's guesses are illustrations of probabilities.

The probability that Jake's guesses are correct is 1/720

The sample size is:

[tex]\mathbf{n = 10}[/tex] --- 10 different numbers

The probability that Jake's guesses are correct is as follows:

So, the required probability is:

[tex]\mathbf{Pr = \frac{1}{10} \times \frac 19 \times \frac 18}[/tex]

[tex]\mathbf{Pr = \frac{1}{720} }[/tex]

Hence, the probability that Jake's guesses are correct is 1/720

Read more about probabilities at:

https://brainly.com/question/11234923

Answer:

Step-by-step explanation:

Answer:

The slope is (4)  which means that the temperature (increases)  by (4) degrees every minute

Step-by-step explanation:

Answer:

242$ in grocery store and 210$ in nursery

Step-by-step explanation:

Answer:

It is 10 quarters and 10 nickels

10 x 25 = $2.50

10 x 5 = $0.50

2.50 + 0.50 = $3.00

***I hope this helps

Step-by-step explanation:

Answer:

4:12

6:18

8:24

Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number.

Answer:

5%

Step-by-step explanation:

To find the sales tax rate, you would divide the tax by the cost to see the percentage of the tax.

$750 / $37.50= 0.05

The answer is 5%

Hope this helps

Answer:

Step-by-step explanation:

G(fx)= 2x+4÷5×6x+2

G(fx)= 2x+0.8×6x+2

G(fx)= 2x×6x+0.8+2

G(fx)= 12x+2.8

Answer: 18 days

Step-by-step explanation: you multiply 90 by 0.2 and you get 18

x=5/4

the explantion would be to long lol

Answer:

x = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

3(x - 5) - 5x = - 25 + 6x ← distribute parenthesis and simplify left side

3x - 15 - 5x = - 25 + 6x

- 2x - 15 = - 25 + 6x ( subtract 6x from both sides )

- 8x - 15 = - 25 ( add 15 to both sides )

- 8x = - 10 ( divide both sides by - 8 )

x = [tex]\frac{-10}{-8}[/tex] = [tex]\frac{5}{4}[/tex]

[tex]y = -2x^2 + 8x + 3[/tex]

The equation of a quadratic function of vertex (h,k) is given by:

[tex]y = a(x - h)^2 + k[/tex]

The vertex is the maximum point, which is (2,11), hence [tex]h = 2, k = 11[/tex]. Then:

[tex]y = a(x - 2)^2 + 11[/tex]

The initial height is of 3 feet, then when [tex]x = 0, y = 3[/tex], and this is used to find a.

[tex]y = a(x - 2)^2 + 11[/tex]

[tex]3 = 4a + 11[/tex]

[tex]4a = -8[/tex]

[tex]a = -\frac{8}{4}[/tex]

[tex]a = -2[/tex]

Then:

[tex]y = -2(x - 2)^2 + 11[/tex]

In standard format, the model is:

[tex]y = -2x^2 + 8x - 8 + 11[/tex]

[tex]y = -2x^2 + 8x + 3[/tex]

It hits the ground when [tex]y = 0[/tex], so:

[tex]-2x^2 + 8x + 3 = 0[/tex]

[tex]2x^2 - 8x - 3 = 0[/tex]

Which has coefficients [tex]a = 2, b = -8, c = -3[/tex]. So

[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(-3) = 88[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + sqrt{88}}{4} = 4.35[/tex]

[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - sqrt{88}}{4} = -0.35[/tex]

Time is positive, so it lands on the ground after 4.35 seconds.

A similar problem is given at https://brainly.com/question/17987697

Answer:

Step-by-step explanation:

The vertex form:

We have on the graph:

Substitute into equation:

Use the point (0, 3) to find the value of a:

So the function is: