work out the sizeof angle X

[tex]\displaystyle\bf 1200=12*100=3*4*(2*5)^2=3*2^2*2^2*5^2=2^4*3^1*5^2 \\\\Answer: \boxed{ A)\quad a=4 \quad ; \quad b=1 \quad ; \quad c=2}[/tex]

Answer:

x      -2      -1       0      1

y      -1       2        5      8

Step-by-step explanation:

y=3x+5

When x=-2

y=3(-2)+5

y=-6+5

y=-1

when x=-1

y=3(-1)+5

y=-3+5

y=2

whenx=0

y=3(0)+5

y=5

When x=1

y=3(1)+5

y=3+5

y=8

Answer:

Part A

x + y ≤ 460...(1)

2.5·x + 1.25·y ≥ 600...(2)

Part B

The number of bottles of water the student must sell ≥ 192 bottles of water

Step-by-step explanation:

The given parameters are;

The selling price of each can of lemonade = $2.50

The selling price of each bottle of water = $1.25

The amount of money the club needs to raise = $600

The maximum number of cans and bottles the students can accept = 460

Part A

Let 'x' represent the number of cans of lemonade the students accept, and let 'y' represent the number of bottles the student accept, the system of inequalities that can be used to represent the situation can be presented as follows;

x + y ≤ 460...(1)

2.5·x + 1.25·y ≥ 600...(2)

Part B

The number of cans of lemonade the club sells, x = 144

The number of bottles of water the student must sell to cover the cost of costumes, 'y', is given from the second inequality as follows;

2.5 × 144 + 1.25·y ≥ 600

1.25·y ≥ 600 - 2.5 × 144 = 240

1.25·y ≥ 240

y ≥ 240/1.25 = 192

y ≥ 192

The number of bottles of water the student must sell = 192 bottles of water

Answer:

0, 0.5, 8/3, root 5, 3.1

Answer:

5%

Step-by-step explanation:

Percent error = (actual - estimated) / actual x 100

(240 - 228) / 240 x 100 = 5%

Answer:

29

Step-by-step explanation:

There is a triangle embedded in triangle MNO, which is triangle PQO, and these are similar triangles in that their corresponding sides are always in the same ratio, which in this case is 2:1, as MP = MO due to the midpoint definition, and therefore MO is twice as long as MP. Same for NO and QO.

Now that we know the ratio, we can set 6x-4 = 2(-5x+64)

6x-4 = -10x +108

16x = 112

x = 7

Plug x back in for PQ, -5(7)+64 = 29

The measure of PQ is 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

and, PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

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The percentage reduction can be written as 16.6667% of 300. 83.3333 percent decrease (%↓) or reduction from 300 is 50.

Answer:

83.33%

Step-by-step explanation:

300-50=250

250/300=83.33%

Answer: $13.90

Step-by-step explanation:

Since Susana has a budget for school stationery of $33, but has already spent $19.10 on books and folders, the inequality that shows how much she can spend on other stationery, will be represented by:

p + $19.10 = $33

p = $33 - $19.10

The inequality is p = $33 - $19.10

Then, the amount that she can spend on other stationery will be:

P = $33 - $19.10

P = $13.90

She can spend $13.90 on other stationary

Answer:   7 years

Step-by-step explanation:

let x be the age of Mary

so John's age will be 2x

the equation becomes

2x+x=21

3x=21

x=21/3

x=7

Answer:

Step-by-step explanation:

Let Mary's age = x years

John's age = 2 * x = 2x

The sum of their ages = 21

x + 2x = 21

3x = 21

Divide both sides by 3

x = 21/3

x = 7

Mary's age = 7 years

Step-by-step explanation:

my answer is an image above

Answer:

z = -74

Step-by-step explanation:

12 = (2+z) / -6

Multiply each side by -6

-6 * 12 = (2+z)/ -6 * -6

-72 = 2+z

Subtract 2 from each side

-72-2 = 2+z-2

-74 =z

Answer: 4

Step-by-step explanation: bc

Answer:

-.985

Step-by-step explanation:

Answer:

can u plz rewrite the question

Answer:

B. (7b – 9)(7b + 9)

Step-by-step explanation:

got 100% on my quiz

Answer:

38.92 dollars

Step-by-step explanation:

Answer:

.25

Step-by-step explanation:

there are 13 clubs

13/52= 1/4

Answer:

The vertex form is:

[tex]f(x)=-2(x-4)^2+2[/tex]

Where the vertex of the function is (4, 2).

Step-by-step explanation:

We want to find the vertex and the vertex form of the quadratic function:

[tex]f(x)=-2x^2+16x-30[/tex]

We have two methods of converting from standard form to vertex form: (1) by using the vertex formulas or (2) by completing the square.

Method 1) Using Formulas:

First, note that the leading coefficient of our function is -2.

The vertex of a quadratic equation is given by the formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -2, b = 16, and c = -30. Find the x-coordinate of the vertex:

[tex]\displaystyle x=-\frac{(16)}{2(-2)}=\frac{-16}{-4}=4[/tex]

In order to find the y-coordinate of the vertex, we substitute this value back in. Hence:

[tex]f(4)=-2(4)^2+16(4)-30=2[/tex]

Therefore, our vertex is (4, 2).

Vertex form is:

[tex]\displaystyle f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient and (h, k) is the vertex.

Substitute. Our leading coefficient is -2 and our vertex is (4, 2). Therefore:

[tex]\displaystyle f(x)=-2(x-4)^2+2[/tex]

Method 2) Completing the Square:

To complete the square, we first factor out the leading coefficient from the first two terms:

[tex]f(x)=-2(x^2-8x)-30[/tex]

Then, we divide the coefficient of the b term by half and square it. This yields:

[tex]\displaystyle \left(\frac{-8}{2}\right)^2=16[/tex]

We will add this value inside of the parentheses. Since we added 16 inside the parentheses, we will subtract 16 outside of the parenthese to remain the equality of the function. However, since the parentheses is multiplied by -2, we technically added -2(16) = -32 inside. So, we will subtract -32 outside. Thus:

[tex]f(x)=-2(x^2-8x+16)-30-(-32)[/tex]

Simplify:

[tex]f(x)=-2(x^2-8x+16)+2[/tex]

Factor using the perfect square trinomial:

[tex]f(x)=-2(x-4)^2+2[/tex]

We acquire the same result.

Answer:

30

So the two sectors add to the full length:

JK + IJ = IK

x+6 + 9 = 2x

Rearrange:

x=15

So the numerical length:

2x

2*15

30

Answer:

ANSWER IS 12

Step-by-step explanation:

Answer:8

Step-by-step explanation:

0.5*10=5

3+5=8

a. Montserrat runs 7.5 kilometers in her 10th training week.

b. by her 15th training week, Montserrat will have run a total of 78.75 kilometers.

To find how many kilometers Montserrat runs in her 10th training week, we can use the arithmetic sequence formula to find the nth term:

[tex]a_n = a_1 + (n - 1) * d[/tex]

where:

[tex]a_n[/tex] is the nth term (the number of kilometers in the nth week),

[tex]a_1[/tex] is the first term (the number of kilometers in the first week, which is 3 km),

n is the number of weeks (in this case, 10), and

d is the common difference (the amount by which the distance increases each week, which is 0.5 km).

[tex]a_{10} = 3 + (10 - 1) * 0.5\\a_{10} = 3 + 9 * 0.5\\a_{10} = 3 + 4.5\\a_{10 }= 7.5 km[/tex]

So, Montserrat runs 7.5 kilometers in her 10th training week.

b. Next, to calculate the total number of kilometers Montserrat will have run by her 15th training week, we use the sum of the first n terms formula:

[tex]S_n = (n / 2) * (a_1 + a_n)[/tex]

where:

[tex]S_n[/tex] is the sum of the first n terms (the total number of kilometers run by the nth week),

[tex]a_1[/tex] is the first term (3 km),

[tex]a_n[/tex] is the nth term (which we found to be 7.5 km in her 10th week),

n is the number of weeks (15 in this case).

[tex]S_{15} = (15 / 2) * (3 + 7.5)\\S_{15} = 7.5 * 10.5\\S_{15} = 78.75 km[/tex]

So, by her 15th training week, Montserrat will have run a total of 78.75 kilometers.

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Answer:

Hey there!

The given equation helps us understand the relationship between Amber's tips earned and the money she earned through her hourly wage. This information will add up to equal a grand total of $69.20.

We know that Amber earns $15.50 in tips during her 6 hour shift. Therefore, this is not considered part of her wage. This would be one of the constants of our equation.

We also know that Amber earns a fixed hourly wage, but we don't know what this wage is. We need to find w.

[tex]6w+15.5=\$69.20[/tex]

Subtract 15.5 from both sides of the equation (and get rid of the currency symbol).

[tex]6w=69.20-15.5\\6w=53.7[/tex]

Divide both sides of the equation by 6.

[tex]\displaystyle \frac{6w}{6}=\frac{53.7}{6}\\\\w=8.95[/tex]

Therefore, Amber's hourly wage is $8.95.

Answer:

Can I get the full question please

Step-by-step explanation:

x + y = 10 - - - 1

x=2y - - - - - 2

Putting the value of x in eqn 1,

2y+y=10

y=10/3

=3.33 yrs

Which i feel is incorrect

Solution :

It is given that a company named  "Sugary Sweet" wishes to test about the sweet and the flavorful that their participants like the candy.

There are Two levels of the flavor and three levels of sugar.

Thus it is a Two Way ANOVA test.

A two-way ANOVA test is used to test the effect of any two independent variables on the dependent variable.

[tex]$H_{01} : \text{Mean effect of the sugar are equal}$[/tex]

[tex]$H_{02} : \text{Mean effect of the flavor are equal}$[/tex]

[tex]$H_{01} : \text{There is no interaction between the sugar and the flavor}$[/tex]

Answer:

[tex]10 \frac{2}{5}[/tex]

Step-by-step explanation:

Using BODMAS

[tex]6\frac{1}{2} \times (\frac{8}{9} \div\frac{13}{18}) + ( \frac{3}{4} )\ of \ 3\frac{1}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ expression \ inside \ bracket \ ]\\\\\frac{13}{2} \times (\frac{8}{9} \times \frac{18}{13}) + (\frac{3}{4}) \ of \ \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \ ]\\\\\frac{13}{2} \times (\frac{16}{13}) + (\frac{3}{4}) \ of \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ of \ ] \\\\[/tex]

[tex]\frac{13}{2} \times (\frac{16}{13} ) + (\frac{3}{4} \times \frac{16}{5} )\\\\\frac{13}{2} \times (\frac{16}{13} ) + \frac{12}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ solving \ \times \ expressions \ ] \\\\(\frac{13}{2} \times \frac{16}{13}) + \frac{12}{5}\\\\8 + \frac{12}{5}\\\\\frac{40 + 12}{5}\\\\\frac{52}{5}\\\\10\frac{2}{5}[/tex]

Answer:

x=3.5

Step-by-step explanation:

25÷2=12.5

12.5-9=3.5

Answer:

7/5 or 3.5

Step-by-step explanation:

2 (x+9) =25

x+9 = 25/2

x = (25/2) - 9

x = 7/2 in decimal = 3.5

Answer:

Step-by-step explanation:

The standard form equation for this type of problem is

[tex]y=a(b)^x[/tex] where a is the initial value, b is the rate of depreciation, and x is the number of years in question. Because the value of the car is going down, b can also be written as (1 - r) where r is the rate of depreciation. For us, then, the equation will look like this:

[tex]y=a(1-r)^x[/tex] and filling in:

[tex]y=21000(1-.14)^3[/tex] which in simplified form is

[tex]y=21000(.86)^3[/tex] which I'm assuming is how choice 4 should look.

Answer:

gal = 663902.4

11 pavers

Step-by-step explanation:

V = l × w × h

V = 164 × 82 × 6.6

V = [tex]88757ft^3[/tex]

**********************************

The Swimming pool is a

rectangular prism. Write

the formula for its volume

and calculate it.

l...length of this prism

w...width of this prism

h...height of this prism

V ...volume

*********************************

To know how many

gallons are in the pool,

multiply the volume by

the number of gallons

in [tex]1ft^3[/tex] gal...number of

gallons

********************************

gal = 88757 × 7.48

gal = 663902.4

********************************

First to not confuse

anybody on this, we need

to convert the meters into

centimeters.

Rule: 1 m = 100 cm

        3 m = 300 cm

        2.5 m = 250 cm

********************************

so for every meter, we

multiply 100 to get the

amount of centimeters

********************************

so then add the

centimeters of 3 m and

2.5 m

Answer: 550 cm

so then now compare

the measurings...

3 m = 300 cm

50cm × y = 300cm

50cm × 6 = 300cm

y = 6

2.5 m = 250 cm

50cm × y = 250cm

50cm × 5 = 250cm

y = 5

6 + 5 = 11 pavers

so Oliver will need 11 pavers