[tex]5y( y + 3) - 2(y - 2) = 20[/tex]
​

Answer:

The first number is 16

The second number is 6

The third number is 64

Step-by-step explanation:

The information from the word problem are;

The count of the numbers in the sum = 3 numbers

The value of the sum of the three numbers = 86

The value of the third number = 4 × The value of the first number

The value of the first number = 10 + The value of the second

Let 'x' represent the first number, let 'y' represent the second number and let 'z' represent the third number, we have;

x + y + z = 86...(1)

z = 4 × x...(2)

x = y + 10...(3)

From equation (3), we get;

x = y + 10

∴ y = x - 10...(4)

Substituting the value of z from equation (2) and the value of y from equation (4) in equation (1) gives;

x + y + z = 86

z = 4 × x = 4·x

y = x - 10

∴ x + y + z = x + (x - 10) + 4·x = 86

x + (x - 10) + 4·x = x + x - 10 + 4·x = 6·x - 10 = 86

6·x = 86 + 10 = 96

∴ x = 96/6 = 16

x = 16

From equation (2), we get;

z = 4 × x

∴ z = 4 × 16 = 64

z = 64

From equation (4), we get

y = x - 10

∴ y = 16 - 10 = 6

y = 6

Therefore; x = 16, y = 6, and z = 64

The numbers are 16, 6, and 64

Answer:

11

Step-by-step explanation:

3 + [tex]\sqrt{16}[/tex] ÷ 2 * 4

work for the root first

3 + [tex]\sqrt{4*4}[/tex] ÷ 2 * 4

3 + 4 ÷ 2 * 4

now divide 4 by 2

3 + 2 * 4

then do multiplication

3 + 8

11

Answer:

11

Step-by-step explanation:

Following the order of operations in PEMDAS

Given

3 + [tex]\sqrt{16}[/tex] ÷ 2 × 4 ← evaluate the square root

= 3 + 4 ÷ 2 × 4

When multiplication appear on the same line evaluate from left to right

= 3 + 2 × 4

= 3 + 8

= 11

Answer:

x⁹⁹⁹ + 1

Step-by-step explanation:

a binomial is a polynomial that is the sum of two terms

x⁹⁹⁹ + 1

[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}} [/tex]

SIMPLIFY THE EXPRESSION [tex] \blue{\frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } } }[/tex]

[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]

[tex] \pink{ \frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } }} \\ m^{ \frac{2}{3} - \frac{1}{5} } \\ m^{ \frac{(2 \times 5) - (1 \times 3)}{3 \times 5} } \\ m^{ \frac{10 - 3}{15} } \\ m^{ \frac{7}{15} } [/tex]

[tex] \green{SECOND \: \: OPTION->}\purple{ m^{ \frac{7}{15} } }[/tex]

Answer:

x = 4      y = 7

Step-by-step explanation:

x + 3 = -1/2x + 9

x = -1/2x + 6

3/2x = 6

x = 4

y = (4) + 3

y = 7

Answer:

500ml orange juice is the most cost effective

Answer:

2a (3-4a)

Step-by-step explanation:

(2a+1)-4a(2a+1)+4a

2a+1-8a²-1+4a

= 2a+4a-8a²

=6a-8a²

= 2a(3-4a)

Answer:

Step-by-step explanation:

Use distributive property: a*(b+c) = (a*b) + (a*c)

-4a*(2a + 1) = -4a*2a + 1*(-4a)

                  = -8a² - 4a

2a + 1 - 4a(2a + 1) + 4a = 2a + 1 - 8a² - 4a + 4a

                                    = 2a + 1 - 8a²

Step-by-step explanation:

Giải phương trình: 6sin^2(3x) + cos12x - 14 = 0 - Giải phương trình: ... 4sin^2 (x)-cos2x=2 giải pt ... 0 1 2 3 4 5 6 7 8 9 10.

Answer:

x=-2/3

Step-by-step explanation:

So let's start off with adding 4x on both sides, we add them to cancel out the -4x on the right hand side.

4x+-9x=-5x

Now, as for the fractions all we really gotta do here is add and subtract them. Let's subtract 5/6 on both sides. once we do that we get:

2/3+7/2-5/6=-5x

A quick trick for adding and subtract fractions is to cross multiply.

2/3+7/2

Multiply 3 times 7 and 2 times 2, then we'll multiply 3 times 2 to get a denominator.

3*2=6 (our denominator)

3*7=21

21/6

2*2=4/6

21/6+4/6=

25/6

Awesome! Now we have two like denominators so we don't have to do any additional cross multiplying. So, we can subtract 25/6-5/6=20/6.

Now, all we're left with is:

20/6=-5x

We can multiply 6 on both sides to isolate the 20.

20=-30x

Divide -30 on both sides!

x=-2/3

Hope this helps!

Answer:

C

Step-by-step explanation:

y=-7x-11

The slope of a function determines the consistency in the functions.

The slope of the function is the change in y /change in x .

The slope of the function determines the change in the value of the function. It determines the consistency of the function. If the slope of the function is changing rapidly then it is said to be inconsistent but if the slopes of the function is not changing rapidly then it is said to be consistent.

Learn more about slope at https://brainly.com/question/3493733

#SPJ2

Answer:

2

Step-by-step explanation:

f(x) = x^2 + 1

f(-1) = (-1)^2 + 1

f(-1) = 2

Answer:

f(x)=x^2+1

f(-1)=(-1)^2+1

f(-1)=1+1

f(-1)=2

Answer:

∠ DOC = 26°

Step-by-step explanation:

The secant- secant angle DOC is half the difference of the intercepted arcs, that is

∠ DOC = [tex]\frac{1}{2}[/tex] (AB - CD) = [tex]\frac{1}{2}[/tex] (82 - 30)° = 0.5 × 52° = 26°

Answer:

i need to know the answer or the question plz

Answer:

D) cot(C) = 1/2.

Step-by-step explanation:

We can go through each choice and examine is validity.

Choice A)

We have:

[tex]\displaystyle \sec B=\frac{3}{7}[/tex]

Recall that secant is the ratio of the hypotenuse to the adjacent.

With respect to B, the adjacent is 6 and the hypotenuse is 7.

Therefore, sec(B) should be 7/6 instead.

A is incorrect.

Choice B)

We have:

[tex]\displaystyle \cot B=\frac{3}{2}[/tex]

Cotangent is the ratio of the adjacent side to the opposite.

With respect to B, the adjacent side is 6 and the opposite side is 3.

Therefore, cot(B) = 6/3 = 2.

B is incorrect.

Choice C)

C is incorrect for the reasons listed in A.

Choice D)

We have:

[tex]\displaystyle \cot C=\frac{1}{2}[/tex]

Again, cotangent is the ratio of the adjacent side to the opposite.

With respect to C, the adjacent side is 3 and the opposite side is 6.

So, cot(C) = 3/6 = 1/2.

Therefore, D is the correct choice!

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:

None Of the Above.

Step-by-step explanation:

As we know that the general equation of circle is

( x - h )^2 + ( y - k )^2 = r^2

putting h=5 and k= 4 and r= 5

x² + 25 - 10x + y² +16 - 8y = 25

x² + y² - 10x - 8y + 16 = 0 is the answer.

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Answer:

Step-by-step explanation:

Remark

You are going to use the Pythagorean Theorem. The trick is to find the length of the leg making up the base of the triangle.

That base is equal to the difference between the two bases.

Solution

The base of the triangle = 2x + 1 - (x + 3)      Remove the brackets.

base = 2x + 1 - x - 3

base = x - 2

Now the height of the trapezoid is also the second leg of the triangle. Apply the Pythagorean Theorem.

c^2 = a^2 + b^2

a = x - 2

b = x + 4

c = 2x

4x^2 = (x - 2)^2 + (x + 4)^2                              Expand the brackets

4x^2 = x^2 - 4x + 4 + x^2 + 8x + 16                Collect like terms

4x^2 = 2x^2 + 4x + 20                                    Subtract the right side from the left.

4x^2 - 2x^2 - 4x - 20 = 0

2x^2 - 4x - 20 = 0                                            Divide by 2

2x^2/2 - 4x/2 - 20/2 = 0              

x^2 - 2x - 10 = 0

x = - b +/- sqrt(b^2 - 4*a*c)/ 2a

a = 1

b = - 2

c = - 10

x = (- -2 + / - sqrt((-2)^2 - 4*(1)*(-10) ) / 2

x = (2 + / - sqrt(4 + 40 ))/2                      Only the plus root has any meaning.

x = ( 2 + sqrt(44 ) )/2

x = ( 2 + 2*sqrt(11) ) / 2

x = 1 + sqrt(11)

sqrt(11) = 3.3166

x = 1 + 3.3166

x = 4.3166

Answer:

y= 6/19

hope it helps

Step-by-step explanation:

the answer is in the image above

Answer:

a₅₀₀ = 3517

Step-by-step explanation:

a₁ represents the first term and d the common difference

Here a₁ = 24 and d = 31 - 24 = 7 , then

a₅₀₀ = 24 + (499 × 7) = 24 + 3493 = 3517

Answer:

x + 5 = 3x -1

7x + 21 = 5x + 35

5x + 5 = 6x - 5

Step-by-step explanation:

7x+21=5x+35

-5x -5x

2x+21=35

-21 -21

2x=14

÷2 ÷2

x=7

x+5=3x-1

-x -x

5=2x-1

+1 +1

6=2x

÷2 ÷2

x=3

5x+5=6x-5

-5x -5x

5=x-5

+5 +5

x=10

Hope this helps! :)

Answer:

A)-4,-5

B)4,5

Step-by-step explanation:

Answer:

the correct answer is C.5

Step-by-step explanation:

(5^1/6)^6=5

Answer:

1.72 ≤ t ≤ 1.85

Step-by-step explanation:

Given :

Distance = 100 miles ;

Speed = 56 miles per hour, to the nearest 2 miles per hour

Hence, the speed range is :

(56 - 2) mph ; (56 + 2) mph

Range of possible Time taken, t :

Distance / speed ;

100 / 58 ≤ t ≤ 100 / 54

1.72 ≤ t ≤ 1.85

Answer:

I would say pretty fast lol It would be traveling about somewhere beetween 30 to 50 mph because it would have hit terminal velocity at that point.

Answer: UHHHHH i shall halp ya

Step-by-step explanation:

if its 133 in ounces its 293.215 in pounds

Answer: 8 pounds and 5 ounces

Step-by-step explanation: Do 16 ounces divided by 2 and it will give you 8 or do 8 times 2 which will give you sixteen. I prefer you do the other way and then do 10 dividedy2to get 5 ounces. The cop is 2.

Answer:

cube

Step-by-step explanation:

prisms are 3d figures just like cubes are

the other options are just 2d figures

[tex]\huge\tt\pink{Answer}[/tex]

C. Cube or Cuboid

A cuboid is a solid that has six rectangular faces--think of a typical box. All faces are either parallel or perpendicular to each other. Further, a cuboid is a right rectangular prism. A cuboid with six square faces is a cube, whereas a cuboid with at least two square faces is known as a square cuboid.