3x + 6y = 42 and -7x + 8y = -109 solve by elimination

Answer:

[tex]Probability = \frac{45}{98}[/tex]

Step-by-step explanation:

Given

Represent travel guide with T and Fictions with F

[tex]T = 5[/tex]

[tex]F = 9[/tex]

Required

Determine the probability that one of both was selected

This implies that (1 travel guide and 1 fiction) or (1 fiction and 1 travel guide)

The probability is is calculated as thus:

[tex]Probability = P(T\ n\ F)\ or\ P(F\ n\ T)[/tex]

In probability, the above formula can be translated to

[tex]Probability = P(T) *P(F)\ +\ P(F) *P(T)[/tex]

[tex]Probability = \frac{n(T)}{Total} *\frac{n(F)}{Total}\ +\ \frac{n(F)}{Total} *\frac{n(T)}{Total}[/tex]

[tex]Probability = \frac{5}{5 + 9} *\frac{9}{5 + 9} +\frac{9}{5 + 9} *\frac{5}{5 + 9}[/tex]

[tex]Probability = \frac{5}{14} *\frac{9}{14} +\frac{9}{14} *\frac{5}{14}[/tex]

[tex]Probability = \frac{45}{196} +\frac{45}{196}[/tex]

[tex]Probability = \frac{90}{196}[/tex]

[tex]Probability = \frac{45}{98}[/tex]

Answer:

answer big no l

x=-6

y=10

Step-by-step explanation:

answer of 4

x 30

Answer:

Step-by-step explanation:

1) 5x + 4 + 3x - 8 = 180 ( co - interior angles )

8x - 4 = 180

8x = 184

x = 184 / 8

x = 23°

y = 3x - 8 ( vertically opposite angles )

y = 3 × 23 - 8

= 69 - 8

= 61°

4) 5 x + 7 = 2x + 97 ( vertically opposite angles )

5x - 2x = 97 - 7

3x = 90

x = 90 / 3

x = 30°

Hope this helps

plz mark as brainliest!!!!!

Answer:

b is 15.

Step-by-step explanation:

Trust me on this, The answer could only be 15 when solving for b. Hopefully that helps.

The answer is 15 because that is what it is.

Answer:

y=2x+4

i think that is the answer

Answer:

276 guests were at the wedding.

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{4+5}{12}[/tex] = [tex]\frac{9}{12}[/tex]

1 - [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]

[tex]\frac{1}{4}[/tex] of the guests are 69 guests ⇒ 69 × 4 = 276 guests were at the wedding.

Answer:

The caramel is $0 more than the chocolate. In other words, they cost the same.

Step-by-step explanation:

Since we have 2 pounds of caramel and caramel costs $9/pound, the cost of 2 pounds of caramel can be found by this equation:

2lbs · $9 = $18

Since we have 1.5 pounds of chocolate and chocolate costs $12/pound, the cost of 1.5 pounds of chocolate can be found by this equation:

1.5lbs · $12 = $18

To find how much bigger the cost of caramel is than that of chocolate, we will subtract the total cost of the chocolate from the total cost of the caramel.

$18 - $18 = $0

Answer:

6

Step-by-step explanation:

good

Answer:( 1, -2)

Step-by-step explanation: y= (-3)(1)+ 1

y=-3+1

y= -2

Answer:

Step-by-step explanation:

Given that:

mass m = 100 g = 0.1 kg

Length of the spring = 5 cm = 0.05 m

The set in motion from the equilibrium position u(0) = 0

The set in motion from its equilibrium position with a downward velocity u'(0) = 50 cm/s = 0.5 m/s

The spring constant (k) = [tex]\dfrac{0.1 \times 9.8}{0.05}[/tex]

The equation of the system is expressed as:

[tex]\dfrac{1}{10} u'' + \dfrac{98}{5} u =0[/tex]

By estimating the characteristics equation, we have r = ± 14[tex]i[/tex]

Thus; the general solution is:

[tex]u(t) = c_1cos \ 14t + c_2 sin 14 \ t[/tex]

By applying the initial condition:

u(0) = 0

⇒ 0 = [tex]c_1[/tex]

∴

[tex]\dfrac{du}{dt} = ( - c_1 \ sin 14 t )\times 14 +14c_2 \ cos 14 t[/tex]

u'(0) = 0.5

0.5 = 14 × c₂

c₂ = 0.5/14

c₂ = 1/28

∴

[tex]\mathbf{u(t) = \dfrac{1}{28} sin 14 t}[/tex]

Equating u(t) = 0, we have t = π/14sec as the time when the mass first returns to its equilibrium position.

Answer:

90+4n less than or equal to 330

Step-by-step explanation:

since craig weighs 90 pounds. he will be a constant weight

Since each package weighs 4 pounds, the variable will be 4n

The elevator can hold a maximum of 330 pounds so that is what the inequality should have on the other side

the final equation will be:

90+4n less than or equal to 330

Answer:

0.06 is answer of this puestion

Answer:

The coordinates of G are: (-8, -10)

Step-by-step explanation:

Mid point formula:

[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]

Where,

[tex](x,y)[/tex] are the coordinates of the mid point of the points [tex](x_1,y_1)[/tex]  and [tex](x_2,y_2)[/tex].

As per question statement, we are given that:

[tex]x_2=-4\\y_2=4[/tex]

and

[tex]x=-6\\y=-3[/tex]

To find:

[tex]x_1 = ?\\y_1 = ?[/tex]

Solution:

Let us use the mid point formula:

[tex]-6 = \dfrac{x_1-4}{2}\\\Rightarrow -12=x_1-4\\\Rightarrow x_1=-12+4\\\Rightarrow \bold{x_1=-8}[/tex]

[tex]-3 = \dfrac{y_1+4}{2}\\\Rightarrow -6=y_1+4\\\Rightarrow y_1=-6-4\\\Rightarrow \bold{y_1=-10}[/tex]

The coordinates of G are: (-8, -10)

Answer:

dream is cool................

Answer:

90°

Step-by-step explanation:

Measure of angle 3 is,

⇒ ∠3 = 90 degree

We have to given that,

A kite is shown in image.

Since, We know that,

If two sides of  triangle are equal then its corresponding angles are also equal in a triangle.

Now, By given figure, we have;

64 x 2 + x + x = 180

128 + 2x = 180

2x = 180 - 128

2x = 52

x = 26

So, We get;

Measure or angle 1 is,

∠ 1 + 64 + 26 = 180

∠1 = 180 - 90

∠1 = 90 degree

Hence, By definition of vertically opposite angle,

⇒ ∠1 = ∠3 = 90 degree

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ2

Answer:

C. Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department.

Step-by-step explanation:

Sampling Bias is case, in which some section of population have higher or lower chance of being selected in sample than others.

'Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department'. This case is of Convenience Sampling, where person selects sample only as per his/ her convenience.

Elizabeth has conveniently chosen sample workers from her department, so they have higher chance of being in sample, others have lesser chance.  Hence, this is Sampling Bias

Answer:

B

Step-by-step explanation:

The solutions to a quadratic equation is whenever the graph crosses the x-axis. The solutions are also known as the roots or zeros of the quadratic.

Our quadratic crosses the x-axis at -3 and 1. So, at those two points, f(x) is 0. Namely, we have the two points (-3, 0) and (1, 0).

So, our two solutions are -3 and 1.

Hence, our answer is B.

Answer:

I think it would be B

Step-by-step explanation:

If f(x) is 0, that means the value of x would not change at all. and since its only on the x-axis and neither numbers are used for the y-axis, the solutions would most likely be -3 and 1.

Answer:

Percent decrease is 21.7%

Step-by-step explanation:

The percent decrease is calculated as:

[tex]Decrease\ percentage = \frac{decrease}{Original\ quantity} * 100[/tex]

Given in the question that:

Cost on travel during November = $83

Cost on travel during December = $65

The percent decrease will be calculated by computing decrease(subtracting the cost of December from the cost of November.

[tex]Decrease = Travel\ cost\ in\ November - Travel\ cost\ in\ december\\Decrease = \$83-\$65\\= \$18[/tex]

Now, for percentage decrease

[tex]Percentage\ decrease = \frac{decrease}{Travelling\ cost\ in\ November} * 100\\=\frac{18}{83} * 100\\=21.686..[/tex]

Rounding off to nearest tenth of percent, we get the percentage decrease as 21.7%

Hence,

Percent decrease is 21.7%

Answer:

I think that it is no.

Step-by-step explanation:

Becasue 15, 39 is more than the 16, 33

Your answer is 4.

The point is on the corner of 4. Just remember, each box is 1. Just because it is on the top corner of the box does not mean its five, if it were to be on the top corner of five then it will be five. Your answer will be 4.

Answer:

119.76

8 days

0.5217

93

Step-by-step explanation:

Given that:

1)

Kim's time = 135.46 seconds

Tyron's time is 15.7s faster ;

Tyron's time = 135.46 - 15.7 = 119.76

Janna takes her medicine 3 times a day. How many days will a 60 ml medicine last if 2 1/2ml is taken each time?

(2 1/2 * 3) = 7.5 mL per day

60 mL / 7.5 = 8 days

3. May bought 23 of a kilo of meat. She cooked 12 of it. How much did she cook?

Total bought = 23 of a kilo of meat

Amount cooked = 12 /23= 0.5217 kilo

4. Arjay bought 8.75 meters of cloth for ₱813.75. Find the cost price per meter.

Cost per meter :

813.75 / 8.75 = 93 per meter

5. Jay will divide his P112,000 among his 3 brothers. His elder brother will receive of the amount while the remaining amount is to be equally divided among the two younger brother. How much will each of the younger brothers receive?

Question 5 is Incomplete

Answer: 9mph

Step-by-step explanation: To figure this out (I'll just finish the problem for you), you have to essentially find a unit rate. Since you know the miles traveled and the time, all you have to do is divide the miles by the minutes to figure out miles per minute. In other words, how much distance is covered in one minute.

3/4 divided by 5 is 0.15. That's how many miles per minute. Now, since they're asking for miles per hour, not per minute, you'd have to multiply the rate by one hour (60 minutes).

0.15*60 = 9

So, the speed is 9 miles per hour

Answer:

[tex]Scale\ Factor = 1.5[/tex]

Step-by-step explanation:

See attachment for proper presentation of question.

From the attachment, we have:

[tex]A = 7[/tex]

[tex]A' = 10.5[/tex]

Required

Determine the scale factor

To solve this, simply divide the circumference of A' by that of A.

This gives the scale factor used

i.e.

[tex]Scale\ Factor = \frac{A'}{A}[/tex]

Substitute values for A and A'

[tex]Scale\ Factor = \frac{10.5}{7}[/tex]

[tex]Scale\ Factor = 1.5[/tex]

Hence, the scale factor used is 1.5

Additional Note:

If the given parameters had been the area of A and A', you'll need to first solve for the radius of both circles.

Then determine the scale factor by A'/A

Answer:

its the last box and whisker plot

Step-by-step explanation:

Answer: 714

Step-by-step explanation:

42 • 17 = 714

divide to check if it is correct

714 ÷ 42 = 17 or 714 ÷ 17 = 42

hope it helps!

Answer:

No.of sweets in one box = 42

No.of sweets in 17 boxes = 42 x 17

                                          = 714

Answer:

I think the answer is 96%.

Answer:

If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? the bill would be $27.31, after the tip, $32.24, meaning the tip would be $4.93, and that percentage would be %18.05

Step-by-step explanation:

8 percent of 25.30 is 2.01, add that up, 27.31, subtract 27.31 from 32.24, you get 4.93, figure out the percentage and boom, you got your answer

Answer:

14 cm, 18 cm, 20 cm

Step-by-step explanation:

7x + 9x + 10x = 26x

equation: 26x = 52

divide each side by 26: x = 2

7 * 2 = 14

9 * 2 = 18

10 * 2 = 20

check if answer is right: 14 + 20 + 18 = 52

I hope this helped, please mark Brainliest thank you so much!!

Answer:

B. x more than 40

Step-by-step explanation:

If you would like to win the tug of war game, you would have to apply a more greater force to win. If Team B needed to win, over 40 lbs. of force would do.