of the 777 graduating seniors in a certain high school, approximately 1/3 are going to a trade school, and approximately 2/7 of those going to a trade school are going to an art or design institute. wich of the following is the closest estimate for the number of graduating seniors going to an art or design institute


a) 74
b)75
c)110
d)219
e)256​

Answer:

Answer is C.) a 90° counterclockwise rotation about the origin and then a translation 16 units right and 16 units up

Step-by-step explanation:

Rotating the triangle 90° counterclockwise will take the triangle to 3rd quadrant and then further moving it 16 steps right will take it to 4th quadrant and followed by 16 steps upward will take it to the desired position which is in 1st quadrant.

Answer

Step-by-step explanation:

[tex] \sf{ \frac{40}{x + 1} = \frac{15}{6} }[/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{15(x + 1) = 40 \times 6}}[/tex]

Distribute 15 through the parentheses

[tex] \dashrightarrow \sf \: 15x + 15 = 40 \times 6[/tex]

Multiply the numbers : 40 and 6

[tex] \dashrightarrow{ \sf{15x + 15 = 240}}[/tex]

Move 15 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{15x = 240 - 15}}[/tex]

Subtract 15 from 240

[tex] \dashrightarrow \: \sf{15x = 225}[/tex]

Divide both sides by 15

[tex] \dashrightarrow{ \sf{ \frac{15x}{15} = \frac{225}{15} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 15}}[/tex]

Hope I helped!

Best regards! :D

Answer:

The change in the water level per hour for Min-Jun's swimming pool is 1016.31 Gallons per hour.

Step-by-step explanation:

Since we have a total amount of 10,874.5 gallons and 10.7 hours total to drain the full pool we divide the total amount by the total time, assuming that the pool drains at a constant rate. When we divide 10,874.5 by 10.7 we get 10.16.3084... and rounding it to the nearest hundreth or the second decimal place we get 1,016.31 gallons per hour.

this is the answer of this question you have send If m∠EBD = 36 °and m∠DBC = 108 ° , find m∠EBC

Answer:

C and D

atleast 20 characters to explain it well

Answer:

[tex]Wood\ remain = 1\frac{3}{4}[/tex]

Step-by-step explanation:

Note; given question is incomplete

Size of pieces = [tex]1\frac{2}{3} ,2\frac{3}{4} , 3\frac{5}{6}[/tex]

Given:

Size of wood = 10 ft

Find:

How much wood remain

Computation:

Wood remain = [tex]10-1\frac{2}{3} -2\frac{3}{4} - 3\frac{5}{6}[/tex]

[tex]Wood\ remain = 10-\frac{5}{3} -\frac{11}{4} - \frac{23}{6}\\\\Wood\ remain = 10 - \frac{99}{12} \\\\Wood\ remain = 1\frac{3}{4}[/tex]

Answer:

Width = 44 yards

Length = 171 yards

Step-by-step explanation:

Given:

Perimeter of the rectangular field = 430 yards.

Let:

The length of the field be L

The width of the field be W.

From the question:

The length of the field is 5yards less than quadruple the width. This implies that;

L = 4W - 5

But.

Perimeter (P) of a rectangle is given by:

P = 2(L + W)       ---------------(i)

Substitute the values of P = 430, L = 4W - 5 and W into equation (i) as follows;

430 = 2(4W - 5 + W)

430 = 2(5W - 5)

430 = 10W - 10

10W = 430 + 10

10W = 440

Divide both sides by 10

W = 44

Therefore, the width of the field is 44 yards.

Remember that,

L = 4W - 5          

[Now substitute W = 44]

L = 4(44) - 5

L = 176 - 5

L = 171

Therefore, the length of the field is 171 yards

Answer:

(3,-5)

Step-by-step explanation:

Given

[tex]M = (2,2)[/tex]

[tex]H = (1,9)[/tex]

Required

Determine G

This is calculated using the following midpoint formula;

[tex]M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

Where

[tex](x,y) = (2,2)[/tex] and [tex](x_1,y_1) = (1,9)[/tex]

Substitute these values in the formula above

[tex](2,2) = (\frac{1 + x_2}{2},\frac{9 + y_2}{2})[/tex]

Solving for [tex]x_2[/tex]

[tex]2 =\frac{1 + x_2}{2}[/tex]

Multiply both sides by 2

[tex]2 * 2 = 1 + x_2[/tex]

[tex]4 = 1 + x_2[/tex]

[tex]x_2 = 4 - 1[/tex]

[tex]x_2 = 3[/tex]

Solving for [tex]y_2[/tex]

[tex]2 = \frac{9 + y_2}{2}[/tex]

Multiply both sides by 2

[tex]2 * 2 = 9 + y_2[/tex]

[tex]4 = 9 + y_2[/tex]

[tex]y_2 = 4 - 9[/tex]

[tex]y_2= -5[/tex]

Hence, the coordinates of G is [tex](3,-5)[/tex]

Answer:

C

Step-by-step explanation:

Th explicit formula of a geometric sequence has the following format:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the initial term and r is the common ratio.

From the recursive formula, we can see that each subsequent term is multiplied by 13. Thus, the common ratio is 13.

Also, we are given that the first term is 7.

So, substituting these in, we have:

[tex]x_n=7(13)^{n-1}[/tex]

Our answer is C

And we're done!

Answer:

Step-by-step explanation:

-5x - 7 ≤ 2

+ 7 ≤ +7

---------------

-5x ≤ 9

---- -----

-5 -5

X=-1.8

-5(-1.8)-7 ≤ 2

Answer:

x ≥ -9/5

Step-by-step explanation:

-5x≤9

then divide -5

Answer:

252

9x9=81 +3=84

84x3=252

Answer:

90

Step-by-step explanation

(9x9)+(3x3) so first i multiplied 9x9= 81.

then i did 3x3 which is 9

then i added 9+81=90

so the answer is 90

Greetings from Brasil...

Before comparing mixed fractions, let's make them inappropriate

2 1/2 = 5/2

3 1/3 = 10/3

Comparing fractions. (MMC - Maximum Common Multiple - I don't know that term in English)

2 1/2 = 5/2 = 15/6

3 1/3 = 10/3 = 30/6

30/6 > 15/6  then

Answer:

its c

Step-by-step explanation:

Answer:

(4,-2)

Step-by-step explanation:

coordinate of midpoint(x1+x2)/2, (y1+y2)/2

x1=6, x2=2 , y1=-7, y2=3

x=6+2/2 ⇒8/2=4

y=-7+3/2 ⇒ y=-4/2=-2

(4,-2)

Answer:

If I recharge the car battery, then the car will start.

Step-by-step explanation:

Hypothesis' are if and when statements

Answer:

x = 3

Step-by-step explanation:

Step 1: Write out equation

x + 9 = 18 - 2x

Step 2: Add 2x on both sides

x + 2x + 9 = 18 - 2x + 2x

3x + 9 = 18

Step 3: Subtract 9 on both sides

3x + 9 - 9 = 18 - 9

3x = 9

Step 4: Divide both sides by 3

3x/3 = 9/3

x = 3

Answer:

($26,000/100)*94 = $24,440

Step-by-step explanation:

Divide 26,000 by 100 and multyply by 94 (100% - 6%) =  $24,440

Answer:

Step-by-step explanation:

greatest to least

1. 7.81 x 10^1

2. √(61)

3. ∛(343)

4.  .78

5. 7/9

6. 8%

Well, one thing they ahve in common is that they are both adding or subtracting the same numbers and of course, they are both expressions.

They are different because one expression is subtract both numbers while one expression is adding both numbers.

8 - 15 = -7

8 + 15 = 23

Best of Luck!

Answer:

Not really. No.

Step-by-step explanation:

15.3 in scientific notation would be represented as "1.53e+1." 15.3 isn't a very large or tiny number. Usually numbers that would be represented by scientific notation would be numbers such as "600,000,000" or "0.00000012" etc. 15.3 is just a standard decimal so it's not really practical.

Hope this helps and have a nice day!

Answer:

(x - y + 3)(x + y - 7)

Step-by-step explanation:

x^2 - 4x - 21 + 10y - y^2

= x^2 - y^2 - 4x -21 + 10y

= (x - y)(x + y) - 4x + 10y - 21     Now -21 = + 3 * -7   and +3x - 7x =- 4x so we try:

= (x - y + 3)(x + y - 7)

- this expands to the original expression.

Answer:

(x+y-7)(x-y+3) is your answer

Step-by-step explanation:

x²-4x-21+10y-y²

x²-4x+2²-2²-21+10y-y²

(x-2)²-(y2-10y+25)

(x-2)²-(y-5)²

(x-2+y-5)+x-2-y+5)

(x+y-7)(x-y+3)

Answer:

Any value of D would make this equation true (-∞,∞)

Answer:

infinitely many solutions

Step-by-step explanation:

i ready

Answer:

50

Step-by-step explanation:

Because this is an isosceles triangle, the two bottom angles are equal.

180-80=100

100÷2=50°