Create a system of equations

Janet is 5 years older than her brother David. The sum of their ages is 27. How old are Janet and David

Answer with steps please

Answer:

x= -2

y= 0

Step-by-step explanation:

check answer

5(-2)-4(0)= -10

-10-0= -10 (TRUE)

-4(-2)+5(0)= 8

8+0= 8 (TRUE)

Answer: 5x−4y=−10;−4x+5y=8

Step-by-step explanation:

Answer:

6.28 hours

Step-by-step explanation:

103880/18.55 = 35168/x

103880x = 652366.4

x = 6.28

6.28 hours or 6 hours 28 minutes

Answer:

If we assume 'x' an odd number let's say 1, then the other two consecutive odd integers are 1+2 and 1+4,

So assume the three consecutive odd integers be x, x+2 and x+4.

It's obvious that x is the smallest and x+4 is the largest.

Therefore 3x=9+2(x+4)

Solving for x: we get x = 17.

Hence, the three consecutive odd no. are 17, 19, 21

I hope it's helpful!

Answer:

i cant read that but if you looking for the answer to 550 divided by 6 it is 96.6

Step-by-step explanation:

Answer:

! not sure if correct !

Step-by-step explanation:

54% of anna's workout was lifting weight

Answer:

45%

Step-by-step explanation:

21+45=66=1 hour 6 mins

2 hours=120 min

120-66=54

(54/120)x100=45 45%

Answer:

Step-by-step explanation:

As per the diagram, the triangles on the left and right are similar.

The ratio of corresponding sides is equal:

The height of the wall is 18 feet

Answer:

[tex]\Huge\mathtt{\underline\pink {Answer}}[/tex]

[tex] \tt \frac{27}{9} = \frac{x}{6} [/tex]

[tex] \tt \: x = 6 \times 3 = 18[/tex]

So, height is 18 feet

Answer:

Step-by-step explanation:

Im not all the way sure, but I think it would be 1.8.

11+2 = 13

24/ 13 = 1.84...

rounded, 1.8

Answer:

The answer is 2.

Step-by-step explanation:

11 × 2 = 22

22 + 2 = 24

Therefore, 2 is the answer.

Answer:

1,600

Step-by-step explanation:

Answer:

2, 4, & 6 = 84 degrees

1, 3, 5 , & 7 = 96 degrees

Step-by-step explanation:

Answer:

k = 7

Step-by-step explanation:

3(k - 2) + 7 = 29 - k

3k + k = 29 + 6 - 7

4k = 28

k = 7

Answer: kari makes 33 and 51 all together

Step-by-step explanation:

A. 3 2/5

B. 1 3/5

C. 2 1/2

hope this helps!!

BRAINLIEST PLS??

Answer:

C. -3

Step-by-step explanation:

Subtract 6 from 27 and then divide 21 (27-6) by -7 to get -3

Answer:

15.75

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

m<WUV = 2(m<1) (angle bisector)

28x = 2(13x + 2)

28x = 26x + 4

Collect like terms

28x - 26x = 4

2x = 4

2x/2 = 4/2

x = 2

This question is incomplete, the complete question is;

Suppose u and v are functions of x that are differentiable at x=0

and that { u(0) = 7, u'(0) = -5 }  { v(0)= -1, v'(0) = -4 }

Find the values of the following derivatives at x = 0.

a) [tex]\frac{d}{dx}[/tex]( uv )

b)  [tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )

c)  [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )

Answer:

a) [tex]\frac{d}{dx}[/tex]( uv ) = -23  

b) [tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )  = 33

c) [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = -32/49 or - 0.6531

Step-by-step explanation:

Given that;

{ u(0) = 7, u'(0) = -5 }  { v(0)= -1, v'(0) = -4 }

a)

[tex]\frac{d}{dx}[/tex]( uv )

we differentiate

[tex]\frac{d}{dx}[/tex]( uv )  = uv' + vu'

at x = (0), we substitute our values

[tex]\frac{d}{dx}[/tex]( uv ) = ( 7 × -4 ) + ( -1 × -5)

[tex]\frac{d}{dx}[/tex]( uv )  = -28 + 5

[tex]\frac{d}{dx}[/tex]( uv ) = -23  

b)

[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )

we differentiate

[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = ( vu' - uv' ) / v²

at x=0, we substitute our values

[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = ( (-1 × -5) - (7 × -4 ) ) / (-1)²

[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = (( 5 - ( -28 )) / 1

[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )  = 33 / 1

[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )  = 33

c) [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )

we differentiate

[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )  = ( uv' - vu' ) / u²

at x=0, we substitute our values

[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )  = ( (7 × -4) - (-1 × -4) ) / (7)²

[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( -28 - ( 4 ) ) / 49

[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )  = ( -28 - 4 ) /49

[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )  = -32 / 49

[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = -32/49 or - 0.6531

Answer:

the answer to your question is m22=120

Answer:

5 cubes. 5 cubes. 4 cubes 5 cubes

Step-by-step explanation:

is easy and no hard

See

In plane ABC or ABCD and plane BFGC or BFG. the common side is

So both the planes intersect at line BC

Answer:

if I am not mistaken.. the median would be 9 and the the mean is also 9.

Step-by-step explanation:

first you order the numbers from least to greatest and the find with is the middle number to find the median.

6,7,8,8,8,9,10,12,13 (answer: 9)

To find the mean you will add all of the numbers up and then divide that number by the amount of numbers there are.

1) 6+7+8+8+8+9+10+12+13= 81

2) 81 ÷ 9 =9

Answer:

Mean: 9, Median: 8 Mode: 8

Step-by-step explanation:

MEAN:   The AVERAGE total of all the values divided by the numbers of values.

6 + 7+ 8 + 8 + 8 + 9 + 10 + 12 + 13 = 81        81/9 (set of #'s)= 9

MEDIAN:  The number in the MIDDLE of the list of values.

6, 7, 8, 8, 8, 9, 10, 12, 13         So, the middle value is 8

MODE:   The number that appears the most.

6, 7, 8, 8, 8, 9, 10, 12, 13         So, 8 appears 3 times.

Hope this helps!

Answer:

0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios

Step-by-step explanation:

The cars are chosen without replacement, so the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed.

This means that [tex]N = 48, k = 12[/tex]

8 cars received.

This means that [tex]n = 8[/tex]

What is the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios

This is

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,48,8,12) = \frac{C_{12,0}*C_{36,8}}{C_{48,8}} = 0.0802[/tex]

[tex]P(X = 1) = h(1,48,8,12) = \frac{C_{12,1}*C_{36,7}}{C_{48,8}} = 0.2655[/tex]

[tex]P(X = 2) = h(2,48,8,12) = \frac{C_{12,2}*C_{36,6}}{C_{48,8}} = 0.3407[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0802 + 0.2655 + 0.3407 = 0.6864[/tex]

0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios

Answer:

5

Step-by-step explanation:

3 + 2 = 5

Answer:

5

Step-by-step explanation:

Answer:

135.4166

Step-by-step explanation:

Answer:

y = 2x/3 + 2/3

Step-by-step explanation:

1. Find the slope of the given line.

y = mx + b

6x + 7y = 3y -3

4y = -6x - 3

y = (-6x-3)/4 = -3x/2 - 3/4

The slope of y = -3/2

The slope of a line perpendicular to the line of 6x + 7y = 3y -3 would be the negative reciprocal of the slope so the slope of the line perpendicular would be -1/(-3/2) = 2/3

The equation would be:

y = 2x/3 + b

Since b is unknown, but a point is known, we plug in x and y values.

-8 = 2*(-13)/3 + b

Then solve for b:

b = 2/3

Answer:

[tex]\frac{3}{8}[/tex] Or 0.375

Step-by-step explanation:

From the picture attached,

A circle is divided into 8 sections.

Out of which 3 sections have been shaded.

So the ratio of the shaded sections to the total number of sections will be,

3 : 8

Therefore, fraction representing the ratio will be = [tex]\frac{3}{8}[/tex]

And the decimal form of the fraction will be = 0.375

Answer:

Step-by-step explanation:

difference of x-coordinates = 4-(-3) = 7

difference of y-coordinates = 0-(-2)  = 2

length of MN = √(7²+2²) = √53 ≅ 7.28 units

tanθ = 2/7

θ = arctan(2/7) ≅ 15.9°

heading = 74.1° from north

The magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees

We have:

M(-3, -2) and N(4, 0)

Calculate the magnitude using

[tex]MN =\sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2[/tex]

This gives

[tex]MN =\sqrt{(4 + 3)^2 +(0 + 2)^2[/tex]

Evaluate

MN = 7.28

The direction is calculated as:

[tex]\theta = 90 - \tan^{-1}(\frac{y_2 - y_1}{x_2 -x_1})[/tex]

This gives

[tex]\theta = 90 -\tan^{-1}(\frac{0+2}{4+3})[/tex]

[tex]\theta =90 - \tan^{-1}(\frac27)[/tex]

Take the arc tan

[tex]\theta = 90 - 15.9\°[/tex]

Evaluate

[tex]\theta = 74.1\°[/tex]

Hence, the magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees

Read more about magnitude and direction at:

https://brainly.com/question/3184914

#SPJ6

Answer:

14°

Step-by-step explanation:

deltamath