A science test which is worth 100 points consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y I’d of 5-point questions, the system represents this situation x+y=24 3x +5y=100

Answer:

Amount of frozen soup = 2500 mL

Step-by-step explanation:

We are told that tom made 5,000 mL of soup.

We are also told he packed 2.5 Litres into his kids' lunches.

Now, from conversions,

1 liter = 1000 mL

Thus,

2.5 litres = 2.5 × 1000 = 2500 mL

Now, we are told he froze the rest of the soup.

Thus;

Amount of frozen soup = total amount of soup made - amount given to kids' lunch pack.

Amount of frozen soup =

5000 - 2500 = 2500 ml

The graph is attached. :D

Hope I helped you! The graph calculator is desmos. You can use it for these types of questions.

Stay safe and God bless!

- eli <3

Answer: for the whole test

1. C: x + y ≤ 8

2. C: third graph

3. A: first graph

4. D: fourth graph

5. D: last graph

6. D:0.85x + 1.29y < 5

7. B:6

8. B:3.2x + 0.8y ≤ 50

9. A: first graph

10. D: last graph

Step-by-step explanation:

how because i got an 100%

Answer:

mn/100

Step-by-step explanation:

m% of n = m/100×n

= mn/100

Answer:

Dial it up : ring ring

=8:9

Step-by-step explanation:

From Dial it up= $16 per 2 gb.

ratio of gb : price

2:16

can be reduced to 1:8

this means that per each Gigabyte, you pay $8.

Ring Ring has plans of $9 per 1gb

ratio of gb to price is 1:9

And the ratio between the prices

of the companies is

Dial it up:ring ring

8:9

which means that in one company you get one gb for $8, while in the other company you get the same one gb for $9.

Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

Answer:

Step-by-step explanation:

Take 17 away from 1:00 = 12:43

Take 17 away from 1:43 = 1:26

Take 17 away from 2:26 = 2:09

Take 17 away from 3:09 = 2:52

There we are: at the time which the watch says now.

Now let's see what the correct time should be:

at 12:43 it is really 1:00

at 1:26 it is really 2:00

at 2:09 it is really 3:00

at 2:52 it is really 4:00

However, it says the watch stopped 6 hours ago meaning that the time should be 10:00 as 4 + 6 = 10.

Answer:

b on edunuity 2020

Step-by-step explanation:

just took the quiz

Answer:

d. 12

Step-by-step explanation:

if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.

If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.

Answer: its d, 12

Step-by-step explanation:

Answer:

The values are :

Answer:

The sum of the interior angles of any polygon is (n-2)*180° (n being the number of sides) so for a triangle the sum of the interior angles is 180°. The sum of the interior and exterior angles is also 180°. To work out which sets are possible you subtract each number from 180° and then add all three answers together. If you get 180° then that set of numbers is possible. Using this method, you will find that the following sets can be the measures of the exterior angles of a triangle:

120°, 110°, 130°

120°, 120°, 120°

Step-by-step explanation:

Answer: 456.63 grams

Step-by-step explanation:

First, we know that we have 465 mL of a liquid.  Secondly, we know each mL of the liquid = 0.982 grams.  Thus, we can simply multiply 465*0.982 to get 456.63.

Hope it helps <3

The weight in grams of the liquid in a container is required.

The weight in grams of the liquid in the container is 456.63 grams.

m = Mass of liquid in container

V = Volume of liquid in container = 465 milliliter

[tex]\rho[/tex] = Density of liquid in container = 0.982 grams over milliliter

The relationship between mass, density and volume is given by

[tex]m=\rho V\\\Rightarrow m=0.982\times 465\\\Rightarrow m=456.63\ \text{grams}[/tex]

Learn more about density:

https://brainly.com/question/6838128

Answer:

0.34134

Step-by-step explanation:

In other to solve for this question, we would be using the z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

We are told in the question to find the probability that a worker selected at random makes between $350 and $400

let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.

z1 = (x1 - μ) / σ = (350-400) / 50 = -1

z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0

From tables, P(z <= -1) = 0.15866

P(z <= 0) = 0.5

Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =

0.34134

Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134

Answer:

34%

Step-by-step explanation:

Acellus sux

Answer:

a). Cost of 44 pupils = $14265

b). Least number of pupils = 31

Step-by-step explanation:

The given question is incomplete; here is the complete question.

The cost of maintaining a school is partly constant and partly varies as the number of pupils. With 50 pupils, the cost is $15,705.00 and with 40 pupils, it is $13,305.00.

(a) Find the cost when there are 44 pupils.

(b) If the fee per pupil is $360.00, what is the least number of pupils for which the school can run without a loss?

Let the equation representing the total cost of maintaining a school is,

C = ax + b

Where C = Total cost of maintaining a school

a = Fee per pupil

b = Fixed running cost

x = number of pupils

a). Cost of 50 pupils = $15705

    Equation will be,

    15705 = 50a + b -------(1)

    Cost of 40 pupils = $13305

    Equation will be,

    13305 = 40a + b --------(2)

    By subtracting equation (2) from equation (1),

    15705 - 13305 = (50a + b) - (40a + b)

    2400 = 10a

    a = 240

    From equation (1),

    b = 3705

    Equation representing the total cost will be,

    C = 240x + 3705

    If x = 44

    C = 240(44) + 3705

    C = $14265

b). If the fee per pupil 'a' = $360

    Let the number of pupils = p

    Total fee of 'p' pupils = $360p

    Total cost to run the school will be = 3705 + 240p

    For the school not to be in the loss,

    360p ≥ 3705 + 240p

    360p - 240p ≥ 3705

    120p ≥ 3705

    p ≥ [tex]\frac{3705}{120}[/tex]

    p ≥ 30.875

    Therefore, to run the school without loss, number pupils should be at least 31.

Answer:

Area of shaded part = 41.09733550

Perimeter of shaded part = 35.82011867

Step-by-step explanation:

Area of shaded part =  ((πr^2)   4) - (bh ÷ 2)

Area of shaded part = ((π(12)^2) ÷ 4) - ((12)(12) ÷ 2)

Area of shaded part = (452.3893421 ÷ 4) - (144 ÷ 2)

Area of shaded part = (113.0973355) - (72)

Area of shaded part = 41.09733550

Perimeter of shadedpart:

AC = √a^2 + b^2

AC = √12^2 + 12^2

AC = √144 + 144

AC = √288

AC = 16.97056275

Perimeter of whole circle ÷ 4:

C=2πr

C=2π(12)

C=75.39822369

C ÷ 4 = 75.39822369 ÷ 4

C ÷ 4 = 18.84955592

Perimeter of shaded part:

18.84955592 + 16.97056275 = 35.82011867

Answer:

99

Step-by-step explanation:

3/8 of 88 is 3/8 * 88 = 33.

If her number is x we can write 1/3x = 33 and when we multiply the equation by 3 to get rid of the fraction we get x = 99.

Answer:

[tex]A=P+P\times S\%[/tex]

Step-by-step explanation:

For calculating the sales tax of a product, it is required to first multiply the original cost price of the product by the sales tax percentage.  

Once the sales tax has been computed add it to the original cost price in order to determine the total cost of the product.

The formula of final amount is:

[tex]A=P+P\times S\%[/tex]

Here,

A = final amount

P = original cost price

S = sales tax percentage

Answer:

1.$25.68

2.$51.36

3. 77.04

Step-by-step explanation:

I just took the test.

Answer:

(2, 4)

Step-by-step explanation:

You can use a graphing calculator, and find the point where the lines intersect. Attached is the image.

Hope this helps! :)

Answer:

10.3 meters.

Step-by-step explanation:

From Triangle ABC

[tex]\tan 29^\circ =\dfrac{6.3+x}{h} \\h \tan 29^\circ=6.3+x\\h=\dfrac{6.3+x}{\tan 29^\circ}[/tex]

From Triangle ADC

[tex]\tan 19^\circ =\dfrac{x}{h} \\h \tan 19^\circ=x\\h=\dfrac{x}{\tan 19^\circ}[/tex]

Since the values of h are the same

[tex]\dfrac{x}{\tan 19^\circ}=\dfrac{6.3+x}{\tan 29^\circ}\\\\x\tan 29^\circ=\tan 19^\circ(6.3+x)\\x\tan 29^\circ=6.3\tan 19^\circ+x\tan 19^\circ\\x\tan 29^\circ-x\tan 19^\circ=6.3\tan 19^\circ\\x(\tan 29^\circ-\tan 19^\circ)=6.3\tan 19^\circ\\x=\dfrac{6.3\tan 19^\circ}{\tan 29^\circ-\tan 19^\circ} \\x=10.3$ meters (to the nearest tenth of a meter)[/tex]

The height of the first balcony above stage level is 10.3 meters.

Answer:

45,000,000 information could be transmitted in 30,000 packets

Explaination:

b=1500p

p= 30,000

so,

b= 1500 x 30000 = 45,000,000

A letter that is used in place of the unknowable value is called a variable.

If 20 packets exists required to transmit 30,000 bytes of information.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. In mathematics, an equation is an expression or a statement that consists of two algebraic expressions that have the same value and are separated from one another by the equal symbol. It is an otherwise stated proposition that has been mathematically quantified.

A numerical statement with a variable in place of an unknown value is called an equation. A letter that is used in place of the unknowable value is called a variable.

Each packet has 1500 bytes of information

The amount of packets needed for 1 byte = 1/1500

Given:

number of bytes = 30,000

number  of packets needed = 30000/1500 = 20

Therefore, 20 packets exists needed to transmit 30,000 bytes of information.

To learn more about equation refer to:

https://brainly.com/question/22688504

#SPJ2

Answer:

Hello!

_____________________

Your answer would be (A)

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Answer:

AD crosses the scale marked on the vertical line at the value 10. This means that there is 10 feet of available space left between the top of the debris pile and ground level.

Step-by-step explanation:

PLATO

AD crosses the scale marked on the vertical line at the value 10. This means that there is 10 feet of available space left between the top of the debris pile and ground level.

Answer:

83.80 cm³

Step-by-step explanation:

volume of cone=

[tex] \frac{1}{3} \pi {r}^{2} h[/tex]

1/3×22/7×4×4×5=1760/21= 83.80 cm³

Answer:

See explanation below.

Step-by-step explanation:

A right triangle is a triangle that has a right angle (90º). In math, the Pythagorean theorem allows us to calculate the length of the sides of a right triangle.

In a right triangle, the legs are the two sides that meet at the 90º angle and the hypotenuse is the side that opposes the right angle. The Pythagorean Theorem tells us that the square of the hypotenuse equals the sum of the squares of the legs. In other words: [tex]c^2 =a^2 +b^2[/tex] where c is the hypotenuse and a and b are the legs.

Now, we can use this formula to calculate the diagonal of the pool if we just have the length and the width (these would be the legs of the triangle). We need to measure both the length and the width and then square both of them and sum up the squares: this would give us the square of the diagonal so we will only need to find its quadratic root and we will have the length of the diagonal.

For example, let's say we have a pool that is 3 ft by 4ft, using the formula we have:

[tex]Diagonal^2=3^2 +4^2 \\Diagonal^2 = 9+16\\Diagonal^2 = 25\\Diagonal = \sqrt{25} \\Diagonal =5[/tex]

Therefore, in this case the diagonal would be 5 ft long.

Answer:

a

Step-by-step explanation:

Answer:

380 tickets were sold at the door and 440 tickets were sold before

Step-by-step explanation:

x = tickets sold before

y = tickets sold at the door

x + y = 820

x = y + 80

y + 80 + y = 820

   -80           -80

2y = 740

y = 370

820 - 380 = 440

x = 440

Answer:

 [tex]y = 250x + 4000[/tex]

 [tex]y = 400x + 400[/tex]

The slope of the second option(financing) is greater than the first option(leasing) meaning that the monthly payments for the financing option are greater than the monthly payments of leasing.

The y-intercept of the first option(leasing) is greater than the y-intercept of the second option(financing) meaning that the initial payment of the first option is greater than the initial payment of the second option.

Step-by-step explanation:

The general slope-intercept form is given by

[tex]y = mx + b[/tex]

First option leasing:

The given equation is

[tex]250x - y + 4000 = 0[/tex]

We need to convert this equation into the slope-intercept form.

 [tex]y = 250x + 4000[/tex]

where x represents the number of months of ownership and y represents the total amount paid for the car after ‘x' months.

The slope of the equation is 250 which represents the rate at which the value of y is increasing with respect to x.

When x = 0 then y = 4000 which represents the initial payment.

Second option financing:

We are given two points,  

[tex](x_1, y_1) = (0,400)[/tex]

[tex](x_2, y_2) = (10,4400)[/tex]

The slope of the equation(m) is given by

 [tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{4400 - 400}{10 - 0} \\\\m = \frac{4000}{10} \\\\m = 400[/tex]

To find the value of the y-intercept (b),  substitute  any of the given point into the slope intercept equation

 [tex]y = mx + b \\\\y = 400x + b \\\\400 = 400(0) + b \\\\b = 400[/tex]

So the equation of the second option is

 [tex]y = 400x + 400[/tex]

The slope of the equation is 400 which represents the rate at which the value of y is increasing with respect to x.

When x = 0 then y = 400 which represents the initial payment.

Comparison in terms of slope:

The slope of first option leasing = 250

The slope of second option financing = 400

The slope of the second option(financing) is greater than the first option(leasing) meaning that the monthly payments for the financing option are greater than the monthly payments of leasing.

Comparison in terms of y-intercept:

The y-intercept of first option leasing = 4000

The y-intercept of second option financing = 400

The y-intercept of the first option(leasing) is greater than the y-intercept of the second option(financing) meaning that the initial payment of the first option is greater than the initial payment of the second option.

Answer:

[tex]\boxed{\sf \ \ \ 2^0*3^0*7*47=329 \ \ }[/tex]

Step-by-step explanation:

hello,

let's try to divide by 7 329 it comes

329 = 47 * 7

and 329 is not divisible by 2 or 3 so

the solution is

x = 0

y = 0

z = 47

[tex]2^0*3^0*7*47=329[/tex]

hope this helps

Answer:

The answer is given below

Step-by-step explanation:

The equation of a quadratic function is given by:

ax² + bx + c where a, b and c are the coefficients of the quadratic equation. The value of a determines whether the graph opens up or down (if a is positive opens up and if a is negative opes down), the value of c determines the y intercept (if c is positive, we have a positive intercept and if c is negative the intercept is negative).

The chosen equation is -x² -4x + 5. Since it has y-intercept of 5 and opens down (coefficient of x² is -1)

Let us assume a vertical stretch of 4, the new equation becomes:

4(-x² -4x + 5)

-4x² - 16x + 20

-4x² - 16x + 20 = 0

a = -4, b = -16 and c = 20

Using the quadratic formula:

[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}\\ x=\frac{-(-16) \pm \sqrt{(-16)^2-4(-4)(20)} }{2(-4)}=\frac{16 \pm 24}{-8} \\x= -5 \ or \ x=1[/tex]

Answer:

The coin toss does not appear to be  fair

Step-by-step explanation:

 From the question we are told that

     The  sample size is  [tex]n = 400[/tex]

      The number of game won by team that won the coin toss at the beginning of overtime  [tex]x = 194[/tex]

     The level of significance is  [tex]\alpha = 0.10[/tex]

The population proportion  is  evaluated as  

                  [tex]p = \frac{194}{400}[/tex]

                 [tex]p = 0.485[/tex]

Since the population proportion is  0.485 [tex]\approx[/tex] 0.5 which implies that the coin toss is  fair then

The Null hypothesis is  

         [tex]H_o : p = 0.485[/tex]

and  The Alternative hypothesis is  

        [tex]H_a : p \ne 0.485[/tex]

The test statistics is evaluated as follows

         [tex]t = \frac{[x + p] - [\frac{n}{2} ]}{\frac{\sqrt{n} }{2} }[/tex]

substituting values  

         [tex]t = \frac{[194 + 0.485] - [\frac{400}{2} ]}{\frac{\sqrt{400} }{2} }[/tex]

         [tex]t = -0.5515[/tex]

=>     [tex]|t| = 0.5515[/tex]

now the critical value of  [tex]\alpha[/tex] for a two tail test(it is two tailed because we are test whether the critical value is  less than or greater than the test statistics ) is  

         [tex]t_{\alpha } = 1.645[/tex]

This is usually found from the critical value table  

     Now comparing the critical values and the calculated test statistics we see that the critical value is greater than the test statistics hence the Null hypothesis is  rejected

   This  means that the coin toss is not fair  

Answer:

There are two ways to find the area of this triangle. One way is to do 19.4 * h / 2 and the other way is to do 17 * 9.4 / 2. Since these are equal we can write:

(19.4h) / 2 = (17 * 9.4) / 2

19.4h = 17 * 9.4  (Multiply the equation by 2 to get rid of the denominators)

h = 17 * 9.4 / 19.4 (Divide by 19.4)

h ≈ 8.2 (Simplify)

Answer:

y = 1/2x -3

x=-2 ⇒ y =  -4

x=-1 ⇒ y =  -3.5

x=0 ⇒ y =  -3

x=1 ⇒ y =  -2.5

x=2 ⇒ y = -2

Step-by-step explanation:

Hi, to answer this question we have to isolate y:

x - 2y = 6

-2y =6-x

y = (6-x)/-2

y = -3+1/2x

y = 1/2x -3  

Now, we have to create a table with the next values (see attachment)

x=-2 ⇒ y = 1/2x -3 = 1/2(-2)-3= -4

x=-1 ⇒ y = 1/2x -3 = 1/2(-1)-3= -3.5

x=0 ⇒ y = 1/2x -3 = 1/2(0)-3= -3

x=1 ⇒ y = 1/2x -3 = 1/2(1)-3= -2.5

x=2 ⇒ y = 1/2x -3 = 1/2(2)-3= -2

Feel free to ask for more if needed or if you did not understand something.

Answer:

1. A. 12a^2 + 8a + 4

2. C. 4xy+16x-4y^2-16y

3. C. 64q^6r^8s^4

4. A. -4x^4y^6

Step-by-step explanation:

48a^3 + 32a^2 + 16a / 4a = (48a^3) / 4a + (32a^2) / 4a + (16a) / 4a = 12a^2 + 8a + 4.

So, the answer is A. 12a^2 + 8a + 4.

(2x-2y)(2y+8) = 4xy - 4y^2 + 16x -  16y.

So, the answer is C. 4xy+16x-4y^2-16y.

(-8q^3 * r^4 * s^2)^2 = (-8)^2 * q^6 * r^8 * s^4 = 64q^6r^8s^4.

So, the answer is C. 64q^6r^8s^4.

-12x^8y^8 / 3x^4y^2 = (-12 / 3) * (x^(8 - 4)) * (y^(8 - 2)) = -4x^4y^6.

So, the answer is A. -4x^4y^6.

Hope this helps!