there are 24 and 40 students in the class the ratio is 4:7 how many students are in the class

Answer: 70%

Step-by-step explanation:

Answer:

30,000 shaving sets must be sold.

Step-by-step explanation:

With each shaving set the company makes a profit of $2. Added together the company needs to make $60,000, to cover the initial investment and profit. By dividing the amount of money that needs to be made (60,000) by the amount of profit that each set earns (2), we get the amount of 30,000 products that need to be sold.

Answer:

the distance y between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner is 1.3cm

Step-by-step explanation:

From the information given;

A blue square is placed inside a large yellow square and the centres of the squares are aligned one over the other

So ; if one side of the  square is (3x + 2)cm  (i.e the blue side)

the  other side is (8 - x)cm  (i.e the yellow sides)

since the two shapes given are squares ; we can say that:

(3x+2)= (8 - x)

3x +x = 8 -2

4x = 6

x = 6/4

x = 1.5

Let replace x = 1.5 for the sides of the square and find the actual length of the square sides.

So, for the yellow side; we have:

= (8 - x)cm

= (8 - 1.5 ) cm

= 6.5 cm

We all know that the area of the square = l²

then the area of the yellow side = (6.5 cm )²

the area of the yellow side = 42.25 cm²

Let y be the distance between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner

Since the blue region is inside the yellow region; to calculate for the side of the blue region ; we have:

(6.5y -y+y) cm

(6.5 - 2y )cm

The area of the blue side =( (6.5 - 2y )cm)²

The area of the blue side =  (6.5 - 2y )² cm²

However; we are also given that :

the area of the blue square is 36% the area of the yellow square.

Thus;

(6.5 - 2y )² = 36/100 × 42.25

(6.5 - 2y )² =  0.36  × 42.25

(6.5 - 2y )² =  15.21

(6.5 - 2y ) = [tex]\sqrt{15.21}[/tex]

(6.5 - 2y ) = 3.9

6.5 - 2y = 3.9

6.5 - 3.9 = 2y

2.6 = 2y

y = 2.6/2

y = 1.3 cm

Therefore , the distance y between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner is 1.3cm

Answer:

m<2= 48

m<3= 52

m<4= 48

Step-by-step explanation:

the opposite of 1 is 3 so 3 is 52 bc  opposite angles have the same degree

to find angle 4 you subtract 90 by 52 bc 90 is the total for angle 1 and 4

to find angle 2. u find the opposite of it which is 42 and like i said opposite angles have the same degree

hope this helps

Answer:

23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend

Step-by-step explanation:

you need to make a system of equations to solve this.

First lets make x be the pounds of Gualtemala Antigua coffee blend and y the pounds of Tanzanian coffee blend

we know we need 60 pounds total so first equation is

x+y=60

Next we will make an equation based on the money information

10.30x + 13.80y = 12.46(60)

10.30x + 13.80y = 747.60

So our system of equations is

x + y = 60

10.30x + 13.80y = 747.60

I will solve this by using substitution. first rewrite x+y=60 to y=60-x

now i can substitute that into the other equation for y and solve for x

10.30x + 13.80(60-x) = 747.60

10.30x + 828 -13.80x = 747.60

-3.5x + 828 = 747.60

-3.5x = -80.4

x = 23  (rounded from 22.9714 since they requested that)

now I can use this solution to solve for y by plugging into one of the original equations

x + y =60

23 + y =60

y = 37

Finally we can say that they must mix 23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend.

Answer:

B) 6 inches

Step-by-step explanation:

==>Given that ∆JKL ~ ∆TUV, it therefore means the ratio of proportion of the corresponding sides of ∆JKL and ∆TUV are equal.

Thus:

JK/TU = JL/TV = KL/UV

10/7.5 = 8/x = 13/9.75

Let's find x

10/7.5 = 8/x

=>Cross multiply

10*x = 8*7.5

10x = 60

Divide both sides by 10

x = 6 inches

Our answer is B) 6 inches

Answer:

64 2/7

Step-by-step explanation:

0.35x = 150

x = 3000/7

0.15(3000/7) = 450/7 = 64 2/7

Answer:

To find the x-intercepts we can write:

0 = -1/2(x + 3)² + 4

0 = -1/2(x² + 6x + 9) + 4

0 = -1/2x² - 3x - 9/2 + 4

0 = -1/2x² - 3x - 1/2

0 = x² + 6x + 1

x = -3 ± 2√2 (use quadratic formula)

As a decimal this can be written as x = -5.83, x = -0.17.

Answer:

57/100

Step-by-step explanation:

27/100 = 0.27

3/10 = .3

.27 + .3 = .57

.57 = 57/100

Answer:

57/100

Step-by-step explanation:

make the denominators the same

lcm of 10, 100= 100

27/100+30/100=57/100

Answer:

120°

Step-by-step explanation:

The intercepted arc MN is twice the measure of the inscribed angle NLM

arc MN =2 × 60° = 120°

Answer:

B

Step-by-step explanation:

To solve this, you need to combine like terms (ie. 6 and 9 or 2x and 3x).

4x + x - 3 - 9 + 4x = 6

9x - 12 = 6

Answer:

4x + x - 3 - 9 + 4x = 6

= 9x - 12 = 6

That's option B

Hope this helps

Answer:

2nd option: (0.5, 7), maximum; (2, 1) point of inflection; (3.5, -5), minimum.

Step-by-step explanation:

The maximum point, or a point of the graph with the highest y-value, is at

(0.5, 7).

The minimum point, or a point of the graph with the lowest y-value, is at

(3.5, -5).

The point of inflection is where the graph begins to change direction. This is at (2, 1).

Therefore, the 2nd option is correct.

Answer:  B) 150

Step-by-step explanation:

[tex]\dfrac{Star\ B}{Star\ A}=\dfrac{6.3\times 10^{15}}{4.2\times 10^{13}}=\dfrac{6.3}{4.2}\times 10^{15-13}=1.5\times 10^2=\large\boxed{150}[/tex]

Answer:

D. -4≤x≤2

Step-by-step explanation:

You are looking at the x-values to determine domain. What values of x are shown in the graph? That will be your answer

Answer:

D

Step-by-step explanation:

it -4<x<8 your answer is d

Answer:

300 cm³

Step-by-step explanation:

Volume of the glass filled with orange juice:

4/5-2/3= 12/15-10/15= 2/15

2/15 of glass = 40 cm³

Total volume of the glass:

40 cm³ ÷ 2/15= 40 cm³ × 15/2= 300 cm³

Answer:

10

Step-by-step explanation:

2*3=6

6+c

6+4=10

Answer:

2 x 3=6

6 + 4=10

Answer:

Percentage: 55%

Decimal: 0.55

Step-by-step explanation:

11÷20=

0.55

[tex]\frac{11}{20}=\frac{55}{100}[/tex]

or 55%

Answer:

10=.50n+1.50

Step-by-step explanation:

The total cost, c, of n chicken wings can be represented by a system of equations as follows c = 0.50n + 1.50

c = total cost

n = number of chicken wings

Therefore,

The cost of chicken wing at restaurant Z is $0.50 per wings plus a one time $1.50 charge for sauce.

The system of equation that represent the system is as follows:

c = 0.50n + 1.50

The one time fee for sauce is just like a constant in the equation.

learn more here: https://brainly.com/question/19316321?referrer=searchResults

Answer:

[tex]A_{n}[/tex] = 10n + 10

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence

d = 30 - 20 = 40 - 30 = 10

This indicates the sequence is arithmetic with explicit formula

[tex]A_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 20 and d = 10, thus

[tex]A_{n}[/tex] = 10 + 10(n - 1) = 10 + 10n - 10 = 10n + 10

Answer:

(17,0) and (-2,19)

Step-by-step explanation:

First, find the gradient of AB, which is 1. As CD is perpendicular, its gradient will be -1. The equation of CD will be y=17-x. The x intercept is where y=0. So, that will give you x=17. When x=-2, y=19. It proves the equation right.

Answer:  x = 12

Step-by-step explanation:

a) Linear Pair: 110° + ∠a = 180°  -->    ∠a = 70°

b) congruent sides implies congruent angles  --> ∠b = 70°

c) Triangle Sum Theorem: ∠a + ∠b + ∠c = 180

                                         70° + 70° + ∠c = 180°

                                                            ∠c = 40°

d) Complimentary Angles: ∠c + ∠d = 90°

                                          40° + ∠d = 90°

                                                   ∠d = 50°

∠2) Linear Pair: ∠d + ∠2 = 180°

                         50° + ∠2 = 180°

                                  ∠2 = 130°

x) m∠2 = 130°

   10x + 10 = 130°

   10x        = 120

       x        = 12

Answer:

26 units.

Step-by-step explanation:

AB + BC + AC = AC + AD + DC + 4

AC is common so

AB + BC = AD + DC + 4

AB + BC - AD - DC = 4

Substituting the given values

AB + 7 - 5 - 6 = 4

AB = 4 - 7 + 5 + 6 =  8

So the perimeter of ABCD

= AB + BC + AD + CD

= 8 + 7 + 5 + 6

= 26.

Answer:

A.

Step-by-step explanation:

Length = 2x-5

Width = x

Height = 6x+4

Volume of the rectangular prism = Length × Width × Height

Volume = x(2x-5)(6x+4)

So, Volume of the rectangular Prism is the product of the area of the base and the height

Hope it Helps :)

Answer:

[tex]\mathrm{Option \:A}[/tex]

Step-by-step explanation:

Volume of a prism is the product of the area of base and height.

Area of base = [tex]lw[/tex]

Height = [tex]h[/tex]

[tex]l \times w \times h[/tex]

[tex]x(2x-5) \times 6x+4[/tex]

[tex]=x(2x-5)(6x+4)[/tex]

Answer:

the answer is -0.1071

Step-by-step explanation:

=log(ac/b)

=logac-logb

=loga+logc-logb (by using laws of logarithm)

putting values

=0.9031+0.6990-1.0792

=1.6021-.0792

=-0.1071

i hope it will help you

Answer:

21, 23, 25

Step-by-step explanation:

It adds by x +2 (x being the previous number.)

Answer:

pattern : +2

next three terms : 21, 23, and 25

Answer:

(B)-x-(-x) =0

Step-by-step explanation:

Option A

Our equation is: -x +0+(- x) = 0

Left Hand Side:

-x +0+(- x) = -x-x=-2x

[tex]($Left Hand Side) $-2x\neq 0$ (Right Hand Side)[/tex]

Option B

Our equation is: -x-(-x) =0

Left Hand Side:

-x-(-x) =-x+x=0

[tex]($Left Hand Side) 0 = 0 (Right Hand Side)[/tex]

Therefore, the equation in Option B is true.

Answer:

He should have cross-multiplied 8×200 to get 1600, then divide 1600÷25=64

Step-by-step explanation:

Use logic. If the numerator of the given fraction is less than half of the denominator, the value of x will have to be less than half of 200.

It is also possible to see that the denominator 25 is a factor of 200. If you know that 25×8=200, you can multiply the numerator 8×8 to get 64.

Answer:

C. He mixed up the positions of 8 and 25 in the equation (8) (x) = (25) (200).

Step-by-step explanation:

So, he mixed up the positions of 8 and 25 in that equation because he was trying to use cross products. He didn't cross-product them correctly, it was supposed to be 25x = 8 (200), but instead he just multiplied the numbers beside the other. I don't know if this makes sense and I'm sorry if it doesn't, but hope it does! ^^

Answer:

$460

Step-by-step explanation:

let the number of melons be x

4x + 3x + 3x = 200 melons

10x = 200 so, x will be 20

4x = 80 melons

3x = 60

3x = 60

amount made by 1st child = 80 × $2 = 160$

the remaining melons are 60 + 60 = 120

amount collected: they sold them in groups of 2 and each group was $5. so,

120÷2 × $5 = $300

total amount = 300 + 160 = $460.

Answer:

y ≥6

Step-by-step explanation: