The system of equations can be solved using linear combination to eliminate one of the variables. 2x − y = −4 → 10x − 5y = −20 3x + 5y = 59 → 3x + 5y = 59 13x = 39 Which equation can replace 3x + 5y = 59 in the original system and still produce the same solution?

Answer:

[tex]\frac{31}{(5x+2)^2}[/tex]

Step-by-step explanation:

See image for quotient rule

f(x)= numerator = 3x-5

g(x)= denominator = 5x+2

so we have

[tex]\frac{(5x+2)(3x-5)'-(3x-5)(5x+2)'}{(5x+2)^2}\\(3x-5)'=3\\(5x+2)'=5\\\frac{(5x+2)(3)-(3x-5)(5)}{(5x+2)^2}\\\frac{15x+6-(15x-25)}{(5x+2)^2}\\\frac{31}{(5x+2)^2}[/tex]

Answer:

3 < x

Step-by-step explanation:

3(8 – 4x) < 6(x – 5)

Divide each side by 3

3/3(8 – 4x) < 6/3(x – 5)

(8 – 4x) < 2(x – 5)

Distribute

8-4x < 2x-10

Add 4x to each side

8-4x+4x < 2x-10+4x

8 < 6x-10

Add 10 to each side

8+10 < 6x-10+10

18 < 6x

Divide by 6

18/6 < 6x/6

3 < x

Answer:

C. LM ≅ JH

Step-by-step explanation:

The criteria that needs to be satisfied before two right triangles can be said to be congruent to each other is by the Hypotenuse-Leg Theorem are:

1. Both must have a corresponding leg that are congruent to each other.

In the diagram given above, NM is congruent to KH. They are corresponding legs that are congruent.

2. The hypotenuse of one triangle must be equal to that of the other.

We are not given if the hypotenuse of one, LM is congruent to the hypotenuse of the other, JH.

Therefore, the additional information required would be:

LM ≅ JH

Answer:

[tex](i). \\ { \tt{area = 2(\frac{1}{2} \times base \times height}} )\\ = 4 \times 3 \\ = 12 \: sq \: units \\ \\ (iii). \\ = \frac{1}{2} \times 8 \times 6 \\ = 24 \: sq \: units \\ \\ (ii). \\ = \frac{1}{2} \times 12 \times 5 \\ = 30 \: sq \: units[/tex]

Answer:

sin (A) = 8/17

Step-by-step explanation:

Sine = opposite/hypotenuse

Sin (A) = 16/34

Sin (A) = 8/17

Answer:

sin (A) = 16/34

Step-by-step explanation:

SOH (sine = opposite/adjacent)

Step-by-step explanation:

No, 1% of 40 is the same as 40% of 1. Which is 0.025% You cant have 0.025% of a learner or a human so this isn't possible.

Answer:

i). 600 Boys

ii). 1080 Students

iii). 7 Trees each students On Second day

Step-by-step explanation:

According to the Question,

i).  If the number of trees planted by the students on the first day was 5400.

NOw, This 9x Planted 9x × 5 ⇒ 45x Trees on First Day.

45x = 5400 ⇔ x=120

So, The Number Of Boys Are 5x = 5 * 120 ⇒ 600Boys

And, The Number of Girls Are 4x = 4 * 120 ⇒ 480Girls

ii).  the total number of students who participated in this program is 600 boys + 480 Girls = 1080 Students.

iii). If the total number of trees planted on the second day was 7560. We Know Every Student Plant Equal Number Of trees on each day.

So, 1080 Students Planted 7560 Plants

Therefor, each Student Planted 7560/1080 = 7 Trees Each On Second day.

Answer:

[tex]195[/tex]

Step-by-step explanation:

Let [tex]a[/tex] represent the number of math problems Matthew solved on Sunday. From the problem, we know he solved [tex]5a[/tex] problems on Saturday.

Therefore, we have:

[tex]5a+a=234,\\6a=234,\\a=39[/tex]

Substitute [tex]a=39[/tex] into [tex]5a[/tex]:

[tex]5(39)=\boxed{195}[/tex]

Answer:

You need to add the eqautions

Step-by-step explanation:

Answers:

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

Explanation:

To get the mean, you add up the numbers and then divide by n = 8, since there are 8 scores

Adding the scores gets us: 87+60+76+92+63+91+88+75 = 632

Divide that over n = 8 to get 632/n = 632/8 = 79

The mean is 79

You have the correct answer. Nice work.

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

The mode is the most frequent value.

In this data set, we don't have any repeated values. Each unique number is listed one time only. So that tells us we don't have a mode here.

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

To get the median, we need to sort the items from smallest to largest

{87,60,76,92,63,91,88,75} sorts to {60,63,75,76,87,88,91,92}

Because we have n = 8 values, which is an even number, this tells us that the median is between slot n/2 = 8/2 = 4 and slot 5

The values 76,87 are in slots four and five in that order. Add them up and divide by 2:  (76+87)/2 = 163/2 = 81.5 is the median

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

Explanation:

There are 7 numbers in the set {1,2,...,6,7}. Then we add on 0 to get to the 8th number. So there are 8 numbers overall listed in bold above.

Since the sample space is {0,1,2,...,8,9}, we have 10 digits listed here. So the probability of success is 8/10 = 0.80 = 80%

Side note: The values 8 and 9 would represent a failure. We have 2 failures out of 10 so we get 2/10 = 0.20 = 20%

The groups of numbers could represent a success 80 percent is {0, 1, 2, 3, 4, 5, 6, 7}. Therefore, option C is the correct answer.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, the sample space is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

To simulate an event that has a probability of success of 80%.

Now, 8/10 ×100

= 8×10

= 80%

Therefore, option C is the correct answer.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ7

Answer:

To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent. From the diagram, it is shown that CA is congruent to RM. From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).

Answer:

354 $ is correct

Step-by-step explanation:

your v id dead

Problem 3

If we peel off the sticker off the side of a 3D cylinder, then we can form a rectangle (imagine we're able to peel it off completely without any folds or tears).

The length of the rectangular sticker is the distance around the curved circular base. So it's C = pi*d = pi*1.5 = 1.5pi inches across. The height of the rectangle is the same as the height of the cylinder. So the height is 5 inches.

The area of the rectangle is: length*width = (1.5pi)*(5) = 7.5pi

That's the exact area in terms of pi

If you use the approximation pi = 3.14, then we'll get 7.5*3.14 = 23.55 square inches as the final answer

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

Problem 4

The square base has area of 38*38 = 1444 square cm

The side panels are 4 identical triangles. Each triangle has area base*height/2 = 38*55/2 = 1045 square cm. Meaning that all four triangles combine to a lateral surface area of 4*1045 = 4180 sq cm.

The total surface area is: 1444+4180 = 5624 square cm.

When you wrote 55*38*2+38*38 on your paper, you had the right idea because that evaluates to 5624

Answer:

this answer kajjsnnsnsnsnsnsnsnsnssnnsnssnjxxjxnxnxxnndnsndnsndndnd

Answer

g(5)=22

g(-2)=1

g(a+1)=(a+1)^2-3

g(a+1)= (a+1)(a+1)-3

g(a+1)=a^2+2a-2

Step-by-step explanation:

if you wanted to solve for a you would need to use the quadratic formula and solve for a.

Answer:

B. 9

Step-by-step explanation:

solve it and u will find out

Answer: 30%

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

To find the mean, add up all the numbers

(42+ 43+ 44+ 44+ 49+ 40+ 39)=

301

Then divide by the number of terms

301/7

43

Answer:

mean = 43

Step-by-step explanation:

Mean is given by

mean = sum of all numbers / total no. of terms

substitute the values

mean = 42 + 43 + 44 + 44 + 49 + 40 + 39 /

Divide ,

mean = 301 / 7

mean = 43

Answer:

the second one

Step-by-step explanation:

its the sum oh 90

Answer:

Slope/gradient is 4/3

Step-by-step explanation:

Have a nice day

Answer:

A = 24

Step-by-step explanation:

Figure shown is a trapezoid

Area of a trapezoid = [tex]\frac{a+b}{2} h[/tex]

where a and b = base lengths and h = height

The trapezoid shown has the following dimensions

Shorter base length (a) = 6

Longer base length (b) = 10

Height (h) = 3

Using these dimensions , plug in the values into the area formula

A = [tex]\frac{6+10}{2} 3[/tex]

add 6 + 10 = 16

[tex]A=\frac{16}{2} 3[/tex]

divide 16/2 = 8

[tex]A = (8)(3)[/tex]

multiply 8 times 3

A = 24

Answer:

A

Step-by-step explanation:

270/9=30

Answer:

Given that [tex]\int\limits^a_b {\frac{1}{2\pi } e^{-1/2} x} \, dx[/tex]   is not the easiest equation to solve, and that

the values at the convenient ± 1 sigma,± 2 sigma,± 3 sigma are irrational

using the "rule-of-thumb" "empirical rule" is typically "close enough"

given that the whole probability analysis by definition has some uncertainty in it

Step-by-step explanation:

The percentages of a normal distribution data lies within three standard deviations of its mean for empirical rule while it's definite for actual percentages.

The empirical rule is also referred to as the 68-95-99.7 rule and it can be defined as a rule in statistics which states that:

In Statistics, there is a difference between percentages calculated by using the empirical rule and the actual percentages because a normal distribution data lies within three standard deviations of its mean for the former but it is definite for the latter.

In conclusion, the empirical rule is more important to researchers and statistician because it can be used to determine outcomes and gain insight even when all the data aren't available.

Read more on normal distribution here: https://brainly.com/question/4637344

#SPJ6

Answer:

4

Step-by-step explanation:

Break down the shape into a rectangle and a triangle

To find the base of the triangle subtract

(3x-1)-(x+1)= 2x-2

which means the area of the triangle is

.5(2x-2)(x-1)= x²-2x+1

Let's then find the area of the rectangle

(x+1)(x-1)= x²-1

Take the sum and set this equal to 40

(x²-2x+1)+(x²-1)=40

simplify...

2x²-2x-40=0

x²-x-20=0

(x-5)(x+4)=0

Reject the negative answer and get x=5

Then it's just a matter of plugging in x=5 for the height (x-1)

5-1=4 which is the final answer

Answer:

4 cm.

Step-by-step explanation:

Area formulas:

A(Rectangle) = bh

A(Triangle) = 1/2bh

A(Trapezium) = A(Rectangle) + A(Triangle)

Use the information given and substitute the values to solve for the missing height:

A(Rectangle) + A(Triangle) = A(Trapezium)

bh + 1/2bh = 40

(x + 1)(x - 1) + 1/2(2x - 2)(x - 1) = 40

x² - 1 + x² - 2x + 1 = 40

2x² - 2x = 40

2x² - 2x - 40 = 0

Use Quadratic Formula to solve for x:

a = 2, b = -2, c = -40

x = (-b ± √(b² - 4ac))/2a

x = (-(-2) ± √((-2)² - 4(2)(-40)))/2(2)

x = (2 ± 18)/4

x = 5 and x = -4

Since we cannot have a negative height, we use x = 5:

h = (5) - 1 = 4

Therefore, the height of the trapezium is 4 cm.

Answer:

Point S

Step-by-step explanation:

Given that :

Time taken = 1 2/5 hours

Converting to decimal :

1 2/5 = 7/5 = 1.40 hours

From the number line, distance between each successive tick mark represents, 0.05 hours :

Hence, the point which depicts Toby's time on the number line is: point S

Answer: he can pay for 6 people total (including him)

Step-by-step explanation:

first lets subtract the flat fee from the total amount of money he has

70 - 40 = 30

now lets divide 30 by  $4.50 to see how many people he can pay for

30 / $4.50 = about 6.5

obviously you cant pay for half a person so he can invite 5 people (he also has to pay for himself)

Answer:

6 people

Step-by-step explanation:

Answer:

(10^3)^2

Hope this answer is right!!

Step-by-step explanation:

(10^3)^2

(10)^3*2

(10)^5

Answer:

(5a+2)(a+4)

=5a^2+20a+2a+8

=5a^2+22a+8

Answer:

[tex]5 {a}^{2} + 22a + 8[/tex]

Step-by-step explanation:

[tex](5a + 2)(a + 4) \\ 5a(a + 4) + 2(a + 4) \\ 5 {a}^{2} + 20a + 2a + 8 \\ 5 {a}^{2} + 22a + 8 \\ [/tex]