How do you solve 5x+17>5(2x+1) algebraically?

Answer:

x = 9

Step-by-step explanation:

78 - 2x = 87 - 3x

3x - 2x = 87 - 78

x = 9

x = 9

Step-by-step explanation:

=> 78-2x= 87 -3x

=> 78-87=-3x+2x

=> -9 = -x

=> x = 9

[tex]\\ \sf\longmapsto 3(2x+9)=4x-7[/tex]

[tex]\\ \sf\longmapsto 6x+27=4x-7[/tex]

[tex]\\ \sf\longmapsto 6x-4x=-7-27[/tex]

[tex]\\ \sf\longmapsto 2x=-34[/tex]

[tex]\\ \sf\longmapsto x=17[/tex]

(3, -1)  Looking at the two equations I see that you have a+ y in equation one and − y in equation two. By adding the two equations together I will eliminate the y variable and then you can solve for x.

Answer:

1264

Step-by-step explanation:

is the answer...........

Answer:

Step-by-step explanation:

357k + 200

——————————

10

Answer: like 36 i think

Step-by-step explanation:

Answer:

14168

Step-by-step explanation: just multiple

Answer:

1

Step-by-step explanation: because 3 are girls and 3 + 1 equals 4 its 1

Answer:

1/4 or 25% are boys

Step-by-step explanation:

3/4 + 1/4 = 4/4

75% + 25% = 100%

Answer:

Y Me Angry U Hungry Me And Me Angry Way Back together Me Y He Angry Me He Angry Me Angry:(

The maximum value of the objective function is 3080

The vertices of a feasible region are given as

(14, 2), (0, 9), (6, 8), (10, 3)

The objective function is given as:

[tex]\mathbf{P = 180x + 250y}[/tex]

Substitute the ordered pairs in the objective function

Point (14,2)

[tex]\mathbf{P = 180 \times 14 + 250 \times 2}[/tex]

[tex]\mathbf{P = 3020}[/tex]

Point (0,9)

[tex]\mathbf{P = 180 \times 0 + 250 \times 9}[/tex]

[tex]\mathbf{P = 2250}[/tex]

Point (6,8)

[tex]\mathbf{P = 180 \times 6 + 250 \times 8}[/tex]

[tex]\mathbf{P = 3080}[/tex]

Lastly, we have point (10,3)

[tex]\mathbf{P = 180 \times 10 + 250 \times 3}[/tex]

[tex]\mathbf{P = 2550}[/tex]

The maximum value of P is calculated to be 3080.

Hence, the maximum value of the objective function is 3080

Read more about objective functions at:

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Answer:

3080 is the answer ^

Step-by-step explanation:

Answer:

a - 6%

b - $7.50

Step-by-step explanation:

The answer for a

the only items that had sales tax were $3.00 and $0.50. The total tax for the both was $0.21 so you can find what percent 0.21 is of 3.00 + 0.50 o 3.50. Do this by dividing the percent you are looking for, 0.21, by what it is the percent of 3.50. 0.21 / 3.50 = 0.06. then you multiply the number you got, in this case 0.06 by 100 to find the percentage so it is 6%

The answer for b

Here you can just take the subtotal, $13.00, and subtract all the other prices and you will be left with the price of the top. 13.00 - 3.00 - 2.00 - 0.50 = 7.50. So the answer is $7.50

Step-by-step explanation:

the way I understand the description :

C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.

then, at B there is an antenna or other firm of mast going straight up.

therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).

but because it goes downhill from B to C the angle is 105 degree.

(a)(i)

now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?

this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.

what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.

(a)(ii)

the extended Pythagoras for not right-angled triangles :

c² = a² + b² - 2ab×cos(B)

B being the angle opposite of the Hypotenuse c.

so, we have

c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =

= 325 - 300×cos(105) = 402.6457135...

c = 20.06603383... ≈ 20 m

Answer:

Step-by-step explanation:

567/71 because passengers/(train cars/passengers) = train cars

71 x 7 = 497 (not enough)

71 x 8 = 568 (enough)

Answer: 8 train cars

Answer:

Step-by-step explanation:

Answer:

(B)

Step-by-step explanation:

4 cans - $0.98

1. $0.98/4 = $0.245 will cost 1 can

2. $0.245 × 5 = $1.225 will cost 5 cans

so $1.225 = $1.23

so the answer is B

Answer:

B is twice as far away from point A as it is from point 0

I hope this helps.

Cutting in one minute = 105 ÷ 3 = 35 cuts

Now for six machine = 35 × 6 = 210 parts.

So, the option C. 210 parts is correct answer.

As, 20 × 3 = 60 seconds

Parts can be stamped in one minute = 24 × 3 = 72

So, time required [tex] = \frac{4320}{72} \\ = 60 \: minutes[/tex]

So, the option D. 60 minutes is c correct answer

Answer:

(4^3−13−35)

Step-by-step explanation:

this ans

Answer:

I think the answer will be A

Answer:

499.2 cm^2

Step-by-step explanation:

((12*10.4)/2)*8=6*10.4*8=499.2

Formulas Used:

Area of triangle - 1/2bh

Answer:

Step-by-step explanation:

Add 633 to the reading before the trip.

New reading in the odometer = 14,917 + 633  = 15,550  miles

[tex]\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})[/tex]

[tex]\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}[/tex]

[tex]\\ \sf\longmapsto 3\dfrac{3}{22}[/tex]

Done

The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].

In this exercise we must apply the definition of derivative, which is described below:

[tex]f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}[/tex] (1)

If we know that [tex]f(x) = 2\cdot x^{2}-9[/tex], then the derivative of the expression is:

[tex]f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}[/tex]

[tex]f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}[/tex]

[tex]f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h[/tex]

[tex]f'(x) = 4\cdot x[/tex]

The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].

We kindly invite to check this question on derivatives: https://brainly.com/question/23847661

Answer:

Step-by-step explanation:

AT LEAST 9

Millie's account will be above $750 for weeks greater than 9.

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, Millie has a bank account balance of $1,497. Each week, her balance changes by - $83. She wants to keep the balance above $750.

Establishing an inequality,

750 > 1497 - 83x

Where, x is the number of weeks.

On solving, we get,

747 > 83x

x < 9

Hence, Millie's account will be above $750 for weeks greater than 9.

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Answer:

97.6 in^3

Step-by-step explanation:

find the volume of the cylinder and then find the volume of the cone. the formula for the volume of the cylinder is pi*r^2*h. the formula for the volume of the cone is 1/3*pi*r^2*h. r=d/2=4/2=2, h(cylinder)=8, h(cone)=0.7. now just plug these values into the formulas.

cylinder: pi*2^2*8=100.531

cone: 1/3*pi*2^2*0.7=2.932

cylinder-cone= 100.531-2.932=97.599. round to the nearest tenth to get 97.6

Step-by-step explanation:

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

3x + 9 - 2x - 4 =

x + 5

always remember the rules when combining signs and operations (therefore it is -4 at the end after doing the multiplications) :

++ = +

+- = -

-+ = -

-- = +

Answer:

b. (6,3)

Step-by-step explanation:

10+2=12

12/2=6

The line is always on 3, so that will be the y coordinate!

The midpoint of the line segment are (6, 3). Therefore, option B is the correct answer.

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

The formula to find the midpoint of line segment is (x, y) = [(x₁+x₂)/2, (y₁+y₂)/2]

From the graph, the coordinate points of ends of line segment are (2, 3) and (10,3).

Here, midpoint = [(2+10)/2, (3+3)/2]

= (6, 3)

Therefore, option B is the correct answer.

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