There are four hundred twenty-three people attending luncheon. If a table can hold 6 people, how many tables do they need?

Answer:

[tex]y = \frac{17}{7}[/tex]

Step-by-step explanation:

1) To solve this question easily, cross multiply first. Multiply the denominator of the first fraction by the numerator of the second fraction, and multiply the denominator of the second fraction by the numerator of the first fraction:

[tex]\frac{y-1}{3y+7}=\frac{1}{10}\\1(3y+7) = 10(y-1)\\3y + 7 = 10y-10[/tex]

2) Now, solve like you would and isolate y. Subtract both sides by 10y.

[tex]3y + 7 = 10y-10\\-7y + 7 = -10[/tex]

3) Then, subtract both sides by 7.

[tex]-7y + 7 = -10\\-7y = -17\\[/tex]

4) Finally, divide both sides by -7 to receive the answer.

[tex]-7y = -17\\y = \frac{-17}{-7} \\y = \frac{17}{7}[/tex]

Answer:

$24.75

Step-by-step explanation:

4/5 of 13.75 = 11

11+13.75= 24.75

Dana  spends $24.75 in all.

An equation is a mathematical statement that equates two algebraic expression by an equal sign.

The data given in the question is

Dana spends $13.75 on a teacup for her grandmother

She spends 4/5 of that on a coffee mug for her grandfather.

The total amount  she spends is given by $x

The equation becomes

x = 13.75 + (4/5) * 13.75

x = $24.75

Therefore she spends $24.75 in all.

To know more about Equation

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Answer:

3x+13

Step-by-step explanation:

=9+(3x+4)

=9+3x+4

=3x+13

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Factorisation.

Since here both are the roots of the quadratic equation in the factor form, hence

equate them to zero, to get the value of x

hence,

2x-9 = 0

===> x = 9/2

and

3x+5=0

===> x = -5/3

Answer: ............

Step-by-step explanation:

Answer:

possibly 4 if not I'm sorry

Answer:

x = -2

Step-by-step explanation:

-3(x + 2) = 4 + 2x

= -3x + -6 = 4 + 2x  (Distribution: -3)

= -3x + -2x - 6 = 4  (Moving the variables to the left and change the signs)

=  -3x + -2x = 4 + 6 (Move consatnts to the right and change signs)

= -3x - 2x = + 6  --> (Collect like terms)

= -5x = 10 (Then add)

= (divide -5x = 10 by -5)

= x = 2

Answer:

75.36 cm

Step-by-step explanation:

Given.

radius (r) = 12 cm

Circumference (C)

= 2*π*r

= 2 * 3.14 * 12

= 75.36 cm

Hope it will help :)

Answer:

391.

Step-by-step explanation:

There is 60 minutes every hour, so you divide by 60. 68 / 60 = 1.1333333333.

Now, we have to find out how many minutes there are in 5 hours and 45 minutes. Since there is 60 minutes every hour, 6 x 5 + 45 = 300 + 45 = 345. 1.1333333333 x 345 = 390.9999999885, rounded = 391.

Answer:

251,502

Step-by-step explanation:

hope it helps!

....

Answer:

501 × 502 = 251,502

...

Answer:

Step-by-step explanation:

Here is an example:

[tex]3x^{2} +7=55[/tex]

-7 on both sides of the equation

[tex]3x^{2} =48[/tex]

divide by 3 on both sides

[tex]x^{2} =16[/tex]

square root the [tex]x^{2}[/tex] and 16

x=±4

Answer:

6

Step-by-step explanation:

Answer:

Expression for Perimeter:  6x + 6

x = 12 cm

Verify A = 360:

2(12) x (12+3) = 360

24 x 15 = 360

360 = 360

Step-by-step explanation:

Answer:

6.8 hours.

Step-by-step explanation:

200/4 = 50

340/50 = 6.8

Answer:

7. adjacent (next to each other)

8. vertical (right across from each other)

9. vertical (right across from each other)

10. neither

11. adjacent (right next to each other)

12. neither

Before I go on: all these angles have the same measure as the one across, so ∠SYX has the same measure as ∠UYV (76°), ∠XYW has the same measure as ∠TYU (40°), and ∠WYV has the same measure as ∠SYT (64°)...

13. ∠SYX = 76°

14. ∠XYW = 40°

15. ∠WYV = 64°

These last three are angles added together. They look tricky, but you just note the endpoints and add the measures of the included angles together.

16. ∠SYW = ∠SYX + ∠XYW = 76° + 40° = 106°

    ∠SYW = 106°

17. ∠TYX = ∠SYX + ∠SYT = 76° + 64° = 140°

    ∠TYX = 140°

18. ∠VYX = ∠WYV + ∠XYW = 64° + 40° = 104°

    ∠VYX  = 104°

I hope this helps you understand the concept! Have a great day!

Answer:

The answer is below

Step-by-step explanation:

Triangles are polygons with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled triangles.  

Trigonometric identities are equations that uses trigonometric functions to show the relationship between the angles in a right angle triangle and the sides of the right angled triangle.

If θ be an acute angle in a right angled triangle, hyp. is the hypotenuse side of the angle, opp. is the opposite side to the angle and adj. is the adjacent side to the angle, then:

sinθ = opp. / hyp.v;  cosθ = adj. / hyp. ; tanθ = opp. / adj.

Answer:

4x²+4y²-20x+12y-2=0

4x²-20x+4y²+12y = 2

4(x²-5x) + 4(y²+3y) = 2

4(x²-5x+25/4) + 4(y²+3y+9/4) = 2 + 4*25/4 + 4*9/4

4(x-5/2)² + 4(y+3/2)² = 36

(x-5/2)² + (y+3/2)² = 9

Step-by-step explanation:

hope this helped :)

Answer:

y= -2/3x^2 + 5/3x + 1/6

Step-by-step explanation:

Answer: Choice B) Investment decreases by 3% each month

=====================================================

Explanation:

We won't use the value 2500 at all.

The base of the exponential is 0.97

Set this equal to 1+r and solve for r

1+r = 0.97

r = 0.97-1

r = -0.03

The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.

Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.

Answer:

length × width × height.

Step-by-step explanation:

Answer:

length × width × height

Step-by-step explanation:

That is the standard formula for a rectangular shape

Answer:

10

Step-by-step explanation:

2*5=10

Step-by-step explanation:

step 1. LCD of 1/2 and 3/5 is 10.

Answers:

1. V=triangle area × length

V=1/2×8×12×20

V=960in³

2. triangle area × length

Area of the triangle=1/2×4×11

A=22ft²

V=22×6

V=132ft³

3. b, volume always have cubic power (³)

4. d, same reason of question 3

Answer:

sin (330)

csc (60)

cos (390)

Step-by-step explanation:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions

[tex]T(x,y)=(x+3,y-2)[/tex]

Hope this helps.

Answer:

no

Step-by-step explanation:

The absolute value is EXACTLY 29, so.

Answer:

i think its 72 if i'm wrong sorry

Step-by-step explanation:

Answer:

17 cm

Step-by-step explanation:

add the length, width of triangle

Answer:

6.JMK=90-28

=62

STR=180-118

=62

(PROVEN)