What is the solution to the system of equations 2x + 3y = 40 and y = x +
10?
oy - y - 12​

Answer:

[tex]85.6in^2[/tex]

Step-by-step explanation:

to find the surface area we need the radius of the sphere.

We can find the radius using the formula for circumference:

[tex]C=2\pi r[/tex]

we know that the circumference is

[tex]C=16.4in[/tex]

thus

[tex]16.4in=2\pi r[/tex]

solving for r:

[tex]r=\frac{16.4in}{2\pi} \\r=2.61in[/tex]

and now that we know the radius we calculate the surface area:

[tex]SA=4\pi r^2[/tex]

substituting r:

[tex]SA=4\pi(2.61014in)^2\\SA=4\pi(6.81in^2)\\SA=85.6in^2[/tex]

the surface area is equal to [tex]85.6in^2[/tex]

Answer:

81

Step-by-step explanation:

So first find the are of the rectangle: 9 * 15 = 135

Next find the area of the trapezoid.

[tex]\frac{8+10}{2} *6=54[/tex]

135 - 54 = 81

Answer:

LM

Step-by-step explanation:

Answer:

2/6 = 1/3

Step-by-step explanation:

There are 6 blocks, 2 of which are circled

2/6 = 1/3

Answer: x = 2 and z=78

Step-by-step explanation:

Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure). Z is Opposite to 78 angle, so z=78.

Adjacent angles add up to 180 degrees, and 78 and (5x + 92) are adyacents so:

5x + 92 + 78 = 180

5x + 170 = 180

5x = 180 - 170

5x = 10

x = 10/5

x = 2

Answer:

1449/2691

Step-by-step explanation:

We must start from the fraction that is 7/13. Now, we know that it was simplified, with trial and error we can reach the result.

First, let's multiply both by 200:

7 * 200 = 1400

13 * 200 = 2600

1400 + 2600 = 4000

It means that we are missing 140, to reach the objective, that is, we are close, let's try 205 now:

7 * 205 = 1435

13 * 205 = 2665

1435 + 2665 = 4100

We get even closer, only 40 missing, let's try 207 below:

7 * 205 = 1449

13 * 205 = 2691

1449 + 2691 = 4140

We managed to get to the corresponding numbers, therefore the original fraction was 1449/2691

Answer:

He can fit 53 boxes in the moving truck.

Step-by-step explanation:

Dimensions of the container of truck = 15 feet × 7.5 feet × 7.5 feet

The volume of the container of moving truck = Length × width × height

= 15 × 7.5 × 7.5

= 843.75 feet³

Sides of each small square box = 2.50 feet

Volume of the one box = 2.5 × 2.5 × 2.5

                               = 15.63 feet ³

Maximum number of cube shaped boxes he can fit in the moving truck

= [tex]\frac{843.75}{15.63}[/tex]

= 53.98

He can fit 53 boxes in the moving truck.

Answer:

AB = 3.5 cm

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular face and h the length of prism )

Here V = 84 and h = 12 , thus

12A = 84 ( divide both sides by 12 )

A = 7 ← area of Δ ABC

Thus

[tex]\frac{1}{2}[/tex] × 4 × AB = 7

2AB = 7 ( divide both sides by 2 )

AB = 3.5 cm

Answer: about $22 or 21.6 in decimal form

Step-by-step explanation: $6.00 - 10% is 5.4

5.4 + 5.4 +5.4+5.4 is 21.6 or $22 rounded up

Answer:

Step-by-step explanation:

first, lets find the slope:

m=(y2-y1)/(x2-x1)

m=(3-2)/(6-(-1))

m=1/7

y=(1/7)*x+b

to find b lets pug in a point we know into the equation:

3=(1/7)*6+b

21/7=6/7+b

b=(21/7)-(6/7)

b=15/7

now we know the equation in slope intercept form representing this function is:

y=(1/7)*x+(15/7)

Answer:

y= 1/7x+15/7

Step-by-step explanation:

points

(-1, 2)  and  (6, 3)

slope intercept form:

2= -m+b, 3= 6m+b ⇒ m= 1/7 ⇒ b= 2 1/7= 15/7

Answer:

Step-by-step explanation:

8x^3 + 16x^2 - 4x^2 - 8x -8x - 16

8x^3 + 12x^2 - 16x - 16

answer is c

Answer:

it took 5 hours to clean Jessica's yard

Answer:

(1, 3)

Step-by-step explanation:

Current position (3,2)

Moving left of the x axis results in a decrease, so: 3 - 2 (As she is moving 2 units to the left)

Moving up results in a positive increase on the y axis, so: 2 + 1 (As she is moving one unit up)

Answer:

- 3 1/4

Step-by-step explanation:

-3 3/4 + 1/2 = - 15/4 + 2/4 = - 13/4 = - 3 1/4

Answer:

-13/4 + 1/2 = -3 1/4

Step-by-step explanation:

-3 -3/4+ 1/2

-3/4 + 1/2

-3/4 +2/4 = -1/4

-3 -1/4  = -3 1/4      

Answer:

[tex] \boxed{C. \: 19 \degree } [/tex]

Step-by-step explanation:

[tex] = > (6x + 11) \degree = (7x - 8) \degree \\ \\ = > 6x \degree + 11 \degree = 7x \degree - 8 \degree \\ \\ = > 6x \degree - 7x \degree = - 8 \degree - 11 \degree \\ \\ = > \cancel{-} x \degree = \cancel{- }19 \degree \\ \\ = > x \degree = 19 \degree [/tex]

Answer:

5x + 15

Step-by-step explanation:

Given

9x + 6 - 4x + 9 ← collect like terms

= (9x - 4x) + (6 + 9)

= 5x + 15

Answer:

y+3=2/3(x-9)

Step-by-step explanation:

2x-3y=6

-3y=-2x+6

y=2/3x-2

This means that any line parallel to it must have a slope of 2/3 as well. Therefore, the equation of this line, in point slope form, is:

y+3=2/3(x-9)

Hope this helps!

Answer:

y = 2/3 - 9

Step-by-step explanation:

1. rearrange the equation

-3y = -2x + 6

y = 2/3 - 2

2. because it is parallel, the gradient will be the same.  substitute into y - y1 = m(x-x1)

y - (-3) = 2/3 (x - 9)

y + 3 = 2/3 - 6

y = 2/3 - 9

Answer:

I am just trying I think the Ans is 7

Answer:

x= About 5.2

y= About 14.7

Explanation:

X: tan60=9/x  ; x=9/tan60 = About 5.2

Y: sin60=9/z  ; z=9/sin60 ; z=10.4 ; sin45=10.4y ; y=10.4/sin45= About 14.7

I put z as the line opposite to 45 degrees. You need to add this value in order to solve for y.

Answer:

Hope this is correct

Question:

40 adults were asked what languages they could speak English Filipino Spanish

25 spoke english

17 spoke filipino

18 spoke spanish

6 spoke english and filipino

7 spoke filipino and spanish

10 spoke english and spanish

2 spoke all 3 languages

1. How many spoke just one language

English Filipino Spanish

2. How many spoke atleast two languages

Answer:

1.) 20

2.) 19

Step-by-step explanation:

Given the following :

25 spoke english

17 spoke filipino

18 spoke spanish

6 spoke english and filipino

7 spoke filipino and spanish

10 spoke english and spanish

2 spoke all 3 languages

Kindly check attached picture for detailed explanation

Answer:

6√2 i.

Step-by-step explanation:

√-72

= √72 i

= √36 * √2 i

= 6√2 i.

Answer:

The cost per duck is $5.00 and $8.00 for chickens

Step-by-step explanation:

The equation would be like this:

50c + 30d = 550 (divide this by 10)

5c + 3d = 55

3d = 55 - 5c (multiply by 3)

9d = 165 - 15c

Next,

44c + 36d = 532 (divide this by 4)

11c + 9d = 133

11c + 165 - 15c = 133

11c - 15c = 133 - 165

-4c = -32 (divide by -4)

c = 8

Therefore, the cost of each chicken is $8.00

9d = 165 - 15c

9d = 165 - 15(8)

9d = 165 - 120

9d = 45 (divide by 9)

d = 5

Answer:

About 84% of the people have test scores that make them eligible to be interviewed

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 55, \sigma = 12[/tex]

A state agency will only interview applicants with test scores of 43 or greater. About what percent of the people have test scores that make them eligible to be interviewed?

This is 1 subtracted by the pvalue of Z when X = 43. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{43 - 55}{12}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

1 - 0.1587 = 0.8413

Rounding to the nearest percent

About 84% of the people have test scores that make them eligible to be interviewed

Answer:

A: the equation is y=2x+5, and the height is 40 inches