What is the value of x in the solution to this system of equations?

5x+2y=67x=3y−7
Question 4 options:

6


18.5


24


11

Answer:

The answer Is 1/3(b-21)

Step-by-step explanation:

Answer:

MK bisects <LKN

Step-by-step explanation:

We can already say two sets of sides are equal; LK = NK because it is given and MK = MK because of reflexive property. In order to use Side-Angle-Side, we need to prove the angles between the sides are congruent. This means <LKM and <NKM. The only option that would help is with the is the lat option, MK bisects <LKN because, then we could say <LKM and NKM are congruent because MK would be an angle bisector. This is exactly what we want, so the answer is MK bisects <LKN.

Answer:

27,29

Step-by-step explanation:

Answer:

i donot know appp lado app

Answer:

[tex]x = 7[/tex]

[tex]y =16[/tex]

Step-by-step explanation:

Given

The attached image

Required

Find x and y

From the sign on each line, we have:

[tex]y - 4 = x + 5[/tex]

[tex]2x + 5 = x + 12[/tex]

Collect like terms

[tex]2x-x=12 - 5[/tex]

[tex]x = 7[/tex]

We have: [tex]y - 4 = x + 5[/tex]

Substitute [tex]x = 7[/tex]

[tex]y - 4 = 7+5[/tex]

[tex]y - 4 = 12[/tex]

So:

[tex]y = 12+4[/tex]

[tex]y =16[/tex]

Answer:

a. reflection across one of the lines of symmetry of the figure.

Step-by-step explanation:

Answer:

a) x* e∧ t/10  =  20 *e∧ t/10 + 2

b) x  =  14,2 gall. In 10 min. we get 14,2 gallons of bleach in the tank

c) After a very long time we will find 20 gallons of bleach in the tank

Step-by-step explanation:

The variation of bleach in water in the tank is Δ(x)t:

Δ(x)t  = [Amount of x added to the tank - Amount of x drain out of the tank]*Δt

Now the amount of x added to the tank is:

Rate of adding* the concentration

Rate of adding =  4 gallons per minute

Concentration  half and half ( water + bleach)  = 0,5

Rate of draining =  4 gallons per minute

Concentration of draining: Unknown but can be expressed as:

x(t)/40. According to this

Δ(x)t  =  [4 * 0,5  -  4 * x(t)/40]*Δt

Dividing by Δt on both sides of the equation and tacking limits we get

dx/ dt    =  2  - x / 10

dx/dt + x/10 =2

Multyiplying by e∧ t/10 on both sides

e∧ t/10* [ dx/dt  +  x/10 ]  =  2 *e∧ t/10

To solve it, integrating the first member is

x* e∧ t/10  =  20 *e∧ t/10 + C

for initial condition t = 0

4    =  20 + C

C = -16

a) x* e∧ t/10  =  20 *e∧ t/10 - 16

b) in 10 minutes

x* e∧ t/10  =  20 *e∧ t/10 - 16

x *e  =  20*e  - 16

x   =   20  -  16/e

x   =  20  -  16/2,718

x   =   20 -  5,88

x  =  14,2  gallons.

c) After a very long time we will find 20 gallons of bleach in the tank

Answer:

Slope = -7/8

Y-intercept = (0, 1)

Step-by-step explanation:

Answer:

[tex]slope = - \frac{7}{8} [/tex]

y- intercept= 1

Step-by-step explanation:

Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.

7x +8y= 8

8y= -7x +8

Divide by 8 on both sides:

[tex]y = - \frac{7}{8} x + 1[/tex]

Thus, the slope is [tex] - \frac{7}{8} [/tex] and the y-intercept is 1.

Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.

7x +8y= 8

When x= 0,

7(0) +8y= 8

8y= 8

y= 8 ÷8

y= 1

Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).

Note: slope and gradient have the same meaning and can be used interchangeably

Answer:

[tex]I =\frac{P*R*T}{100} = \frac{10000 * 11 * T}{100} = 1100T[/tex]

Given A =20000

[tex]Amount = Interest + Principal\\20000 = 1100T + 10000\\20000 - 10000 = 1100T\\\\T= \frac{10000}{1100} = \frac{100}{11} = 9.09 years[/tex]

T =9years

Answer: 3¼ hours

Step-by-step explanation:

Number of hours used in baking = 2¾ hours

Number of hours used in cleaning up the kitchen = ½ hour

Therefore, the time used in the kitchen will be the addition of the time used in baking plus the time used in cleaning the kitchen which will be:

= 2¾ + ½

= 2 3/4 + 2/4

= 2 5/4

= 2 + 1¼

= 3¼ hours

Therefore, 3¼ hours was used in the kitchen.

Answer:

the correct answer is 1ft

Step-by-step explanation:

4ft-3ft

=1ft

Answer:

496 cm²

Step-by-step explanation:

Area of polygon :

A = 1/2(p * a)

P = perimeter

a = apothem

Perimeter = 5s (pentagon)

s = side length = 18

P = 5 * 18 = 80 cm

a = 12.4

A = 1/2(80 * 12.4)

A = 1/2(992)

A = 496 cm²

Answer:

Step-by-step explanation:

Chords having equal measures are equidistant from the center of the circle.

Since, VW = XY

Therefore, ZP = ZR = 15 units

A perpendicular line drawn from the center of a circle to the chord is the bisector of the chord.

VR = WR = 20 units

By applying Pythagoras theorem in ΔZRV,

ZV² = ZR² + VR²

ZV² = (15)² + (20)²

ZV = √(225 + 400)

ZV = √625

ZV = 25 units

Therefore, measure of radius ZV = 25 units.

VW = XY [Given]

Therefore, XY = 2(20)

                        = 40 units

Answer:

-15

Step-by-step explanation:

When m=3 and n=-4

So, put the values

7(3)+3(3)(-4)

-> -15

Answer:

-15

Step-by-step explanation:

= 7(3) + 3(3)(-4)

= 21 + 3(3×-4)

= 21 + 3(-12)

= 21 + -36

= 21-36

= -15

Answer:

1164.01

Step-by-step explanation:

First you realize there is 6 sides on a hexagon. Then, you divide the 127 by 6. Then you split the hexagons into 6 parts. This leads you to a triangle. Then if you divide the degrees so 360 total degrees/6 parts = 60. If you split that triangle in half, the angle becomes 30 degrees. Then you will realize the 30 degree is pointed at the 127/12. Because you know the x, (x)(Square root 3), 2x theorem (the 30, 60, 90 triangle), you get the height of the triangle which is about 18.33 . Then you do the area of Triangle = 1/2 * base * height. Therefore you should get 194.00 Because there is 6 parts to a hexagon, you then need to multiply by 6. Your final answer should be 1164.01. This should be correct, please correct me if I’m wrong, thanks.

Answer:x=19/2

Step-by-step explanation:

4(x+2.5)=48

Step 1: Simplify both sides of the equation.

4(x+2.5)=48

(4)(x)+(4)(2.5)=48(Distribute)

4x+10=48

Step 2: Subtract 10 from both sides.

4x+10−10=48−10

4x=38

Step 3: Divide both sides by 4. 4x/4 = 38/4 = 19/2

Answer:

4(x + 2.5) = 48.

4x + 4 x 2.5 = 48.

4x + 10 = 48.

4x + 10 -10 = 48 -10

4x = 38

Divide both sides by 4.

X = 9.5.

X = 10 if approximated.

Answer:

I believe it would be D

Step-by-step explanation:

Since it implies that if A is true, then B is true, it would be D.

"If A" implies that it can be both true or false, but "then B" implies that it must be B if A is true.

Hence my choice of D.

Answer:

301

Step-by-step explanation:

3 + 0 + 1 = 4

301 / 7 = 43

301 / 2 = 105.5

Answer:

301

Step-by-step explanation:

301 divided by 7 = 43

301 is not divisible by 2

3 + 1 + 0 = 4

Hope this helps :)

Answer:

Step-by-step explanation:

A

Answer:

First point: -4 on y axis.

Second point: (2, -5)

Step-by-step explanation:

When graphing, we always set the equation as y=mx+b where m = slope and b = y intercept

y = mx + b

y = [tex]-\frac{1}{2}x-4[/tex]  

Then we plot by starting with the y intercept going four units down, one unit below and two units to the right.

Answer:

Area of the figure = 25 square units

Step-by-step explanation:

Area of the given figure = Area of ΔCDE + Area of rectangle BCEI + Area of ΔABH + Area of GIF

Area of ΔCDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                       = [tex]\frac{1}{2}(CE)(DK)[/tex]

                       = [tex]\frac{1}{2}(8)(4)[/tex]

                       = 16 units²

Area of rectangle BCEI = Length × Width

                                      = CE × EI

                                      = 8 × 1

                                      = 8 units²

Area of ΔABH = Area of ΔGIF = [tex]\frac{1}{2}(1)(1)[/tex]

                                                 = [tex]\frac{1}{2}[/tex] units²

Area of the complete figure = 16 + 8 + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex]

                                               = 25 units²

x= -1/2 is the answer to your question. Mark as brainliest!!!!

Answer:

the other angle equal 52

we can use the specail trangle 3 4 5

300 400 500

the 38 degrees angle meet 300

and the 52 degrees angle meet 400

so the answer is 300 i dont know if you understand but i hope you are

pls ask in the comments and i will try to explain because my ebgilish the baddest

Answer: 0

Step-by-step explanation:

Answer:

500 miles

Step-by-step explanation:

20 + .12m = 80

.12m = 60

m = 60/.12

m = 500

Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

[tex]m\angle O+m\angle P+m\angle Q=180^\circ[/tex]        [Angle sum property]

[tex]26^\circ+m\angle P+90^\circ=180^\circ[/tex]

[tex]m\angle P+116^\circ=180^\circ[/tex]

[tex]m\angle P=180^\circ -116^\circ[/tex]

[tex]m\angle P=64^\circ[/tex]

According to Law of Sines, we get

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using the Law of Sines, we get

[tex]\dfrac{p}{\sin P}=\dfrac{o}{\sin O}[/tex]

[tex]\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}[/tex]

Substituting the given values, we get

[tex]\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}[/tex]

[tex]\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}[/tex]

[tex]\dfrac{4.9}{0.89879}\times 0.43837=PQ[/tex]

[tex]2.38989=PQ[/tex]

Approximate the value to the nearest tenth of a foot.

[tex]PQ\approx 2.4[/tex]

Therefore, the length of PQ is 2.4 ft.

Answer:

3×+9=5x-5

-2×=-14

×=7...thenCD=3(7)+9=30