Which of the following equations have exactly one solution?
Choose all answers that apply:
A. −5x+12=−12x−12
B. −5x+12=5x+12
C. −5x+12=5x−5
D. −5x+12=−5x−12

The lengths of XY and YZ add up to the length of XZ:

XY + YZ = XZ

We know that XZ = 10 + 1/5 = 51/5, and XY = 4 + 2/3 = 14/3, so

14/3 + YZ = 51/5

Subtract 14/3 from both sides to solve for YZ:

YZ = 51/5 - 14/3

Find a common denominator; the least common multiple of 5 and 3 is 15, so multiply the first fraction by 3/3 and the second one by 5/5 to get

YZ = 153/15 - 70/15

YZ = (153 - 70)/15

YZ = 83/15

We have 80 = 75 + 8, so that

YZ = 83/15 = (75 + 8)/15 = 75/15 + 8/15 = 5 + 8/15

Answer:

≈21.16%

Step-by-step explanation:

Population = 66.65 M

14.1 M make up:

Answer:There are two possible answers. 41 and 47

Step-by-step explanation: These both have a difference of 3 between the digits. Other prime numbers between 40 and 60: 43, 53, 57, 59 have differences of 1, 2, and 4.

Answer:

Oriental and American cockroach

Step-by-step explanation:

The question is not complete. The complete question is:

The length of the oriental, American and Australian cockroaches are 3.432 cm, 3.576 cm and 3.583 cm respectively. Scientist measured a Madeira cockroach and found it to be 3.438 centimeters long. Between which two cockroaches would the Madeira cockroach belong?

Answer: From the question, the Australian cockroach  is the longest cockroack with a length of 3.583 cm followed by the American cockroach of length 3.576 cm and lastly the Oriental cockroach of length 3.432 cm.

If the Madeira cockroach is to be placed, its length is greater than that of the Oriental cockroach but less than that of the American cockroach hence it would be placed between the Oriental and American cockroach. The lengths from lowest to highest is:

3.432 cm 3.438 cm 3.576 cm 3.583 cm

Answer:

[tex]9x^{2}[/tex]-48x+64

Step-by-step explanation:

First, start off with what the area would look like with the equation plugged in.

[tex](3x-8)x^{2}[/tex]=area -----> (3x-8)(3x-8)

Second, multiply out the numbers in the ()s.

(3x-8)(3x-8) ---> (3x)(3x) = [tex]9x^{2}[/tex] --->(3x)(-8)=-24x----->(-8)(3x)=-24x------>(-8)(-8) = 64

Finally, you combine like terms and you have your answer.

[tex]9x^{2}[/tex]-24x-24x+64 -----> [tex]9x^{2}[/tex]-48x+64

Hoped this helped!

Answer:

10/3

Step-by-step explanation:

-1(6h + 7) = -6h - 7

-6h - 7 + 8 = -6h + 1

-6h + 1 = -19

        -1     -1 - Subtract 1 from both sides.

-6h = -20

-6        -6 - Divide both sides by negative 6

h = 10/3

Answer:

h = 10/3

Step-by-step explanation:

-(6h + 7) + 8 = -19

Subtract 8 from each side

-(6h + 7) + 8-8 = -19-8

-(6h + 7)  = -27

Divide by a negative

6h+7 = 27

subtract 7

6h+7-7 = 27-7

6h = 20

Divide by 6

6h/6 = 20/6

h = 10/3

Answer:

greater than

Step-by-step explanation:

7/8 is greater than 4/8

Answer:

9

Step-by-step explanation:

12-5=7 so...

2+7 = 9

y = 9

Answer:

y = 156

Step-by-step explanation:

The equation for direct variation is

y = kx

65 = k*5

Divide each side by 5

65/5 = k

13 =k

The equation is y = 13x

Let x = 12

y = 13*12

y = 156

Answer:

40 - x - x - x - 5.75  OR  40 - 3x - 5.75  OR  34.25 - 3x

Step-by-step explanation:

To find the amount of money Tim has left, we will simply write an expression that starts with the total he started with subtracting each expense.

$40

- $x

- $x

- $x

- $5.75

________________________

$40 - $x - $x - $x - $5.75

= $ (40 - 5.75) - 3(x)

= $ 34.25 - 3x

So you can choose one of three of these expressions:

(1) 40 - x - x - x - 5.75

(2) 40 - 3x - 5.75

(3) 34.25 - 3x

Cheers.

Answer:

First of all, you are going to add

5

x

to each side. This will give you a new equation of

8

x

=

16

. The reason you add 5 is because you want to get rid of the -5x on the right. When you add 5 it changes to 0x. Anything times 0 equals 0. The next step is to divide both sides by 8. The reason you divide is to get x alone. When you divide 8x by 8, you get 1x. 1 times anything equals what the other thing is. For example, 1 times 4 is 4. This will give you your answer of

x

=

2

Answer:

Step-by-step explanation:

kindly find attached a rough sketch of their sitting position which forms a right triangle

We can proceed by using Pythagoras therm to solve for the  distance between Bridget and Alan which is the hypotenuse

[tex]C^= A^2+B^2\\\\C= \sqrt{A^2+B^2}[/tex]

From the problem statement

A, which is the opposite is = 3 ft

B, which is the adjacent = 9 ft

C, is the hypotenuse= ?

Substituting into the expression we have

[tex]C= \sqrt{3^2+9^2} \\\\C= \sqrt{9+81}\\\\C= \sqrt{90}\\\\ C= 9.48 ft[/tex]

To the nearest tenth the distance is 9.48 ft

Answer:

2.6 meters

Step-by-step explanation: That the most unnecessary math ever, thank you to who ever decided to come up with the Pythagorean theorem.

The type of person to write the name on scratch paper...

:)

Answer:

168

Step-by-step explanation:

No of cans of soda Dixie has = 185 - 17 = 168

Another way:

Let Dixie has x cans of soda

Therefore,

Viola has = (x + 17) cans

According to the given information:

x + 17 = 185

x = 185 - 17

x = 168

Answer:

idk

Step-by-step explanation:

Answer:

29090

Step-by-step explanation:

First of all, we will have to calculate the volumes of a soft ball and the volume of box.

Then we will divide the volume of box with volume of softball to find the number of balls that can be stored in the box.

Diameter of softball = 3.8 in

Radius of softball = 1.9 in = 0.158 ft

Volume of a sphere = [tex]\frac{4}{3}\pi r^3[/tex]

[tex]\Rightarrow \dfrac{4}{3}\pi (0.158)^3=0.0165\ ft^3[/tex]

Volume of cuboid box = Length [tex]\times[/tex] Width [tex]\times[/tex] Height = 6 [tex]\times[/tex] 10 [tex]\times[/tex] 8 = 480 [tex]ft^3[/tex]

Number of softballs that can fit inside the storage = [tex]\frac{480}{0.0165}[/tex] = 29090

Answer:

Width (w) = 72 yds

Length (L) = 217 yds

Step-by-step explanation:

Let L represent the length.

Let w represent the width.

From the question given above:

Perimeter (P) = 578 yds.

Length (L) is one more than three times the width (w). This can be written as. Follow:

three times the width (w) = 3w

Therefore, the length (L) is given by:

L = 1 + 3w

Next, we shall determine the value of length (L) and width (w). This can be obtained as follow:

Recall:

Perimeter of rectangle is given by:

P = 2(L + w)

P = 2L + 2w

Perimeter (P) = 578 yds.

Length (L) = 1 + 3w

Width (w) = w

P = 2L + 2w

578 = 2(1 + 3w) + 2w

Clear bracket

578 = 2 + 6w + 2w

578 = 2 + 8w

Collect like terms

578 - 2 = 8w

576 = 8w

Divide both side by 8

w = 576/8

w = 72

Therefore, the width is 72 yds

L = 1 + 3w

w = 72

L = 1 + 3(72)

L = 1 + 216

L = 217

Therefore, the length is 217 yds.

The dimensions of the garden is given below:

Width (w) = 72 yds.

Length (L) = 217 yds.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

849381 - 9 = 849372

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

R = P+C

Step-by-step explanation:

P = R-C

+C    +C

R = P+C

C) 20 points

James - 5

Richard + 15

What is the difference in their scores ?

+ 15 - (- 5) =

= 15 + 5

= 20 points

Answer:

a is the answer because the question had said that to find out the difference

Answer:

Zachary's Orchards

Step-by-step explanation:

We are already given the percent of trees at Alexandra's Orchards, so nothing to do here, yet.

Zachary's Orchards we could find by dividing the trees over the total.

558/563 = .9911

Multiply by 10 in order to get a whole number

.9911 * 10 = 99.11

Hence, Zachary's Orchards have a greater percentage

Answer:

The IV pump infusion rate = 0.05ml per minute

Step-by-step explanation:

available concentration = 50 mg per 250 ml of D5W

This means that

250 ml of D5W contains 50 mg

note that

mg = milligram

mcg = microgram

250 ml = 50mg

1ml = 50/250 mg

1ml = 0.2mg

Next, let us convert from milligram (mg) to microgam (mcg) since the unit of administration is in mcg.

1 mg = 1000 mcg

∴ 0.2 mg = 1000 × 0.2

= 200mcg

Therefore the available concentration 200mcg/ml

required concentration/min = 10

since 1 ml = 200mcg

1 mcg = (1 ÷ 200) ml

1 mcg =  0.005 ml

∴ 10 mcg = 0.005 × 10 = 0.05 ml

10 mcg is contained in 0.05 ml of the solution

Therefore, the IV pump infusion rate = 0.05ml per minute

Represent your numbers as follows.

X ⇒ first number

X + 1 ⇒ second number

Since their sum is 91, we have x + (x + 1) = 91.

Solving from here, simplify on the left side to get 2x + 1 = 91.

Subtract 1 from both sides to get 2x = 90.

Now divide both sides by 2 and x = 45.

So if x = 45, then x + 1 must be 46.

So our numbers are 45 and 46.

Answer:

5423875

Step-by-step explanation:

Answer:

35.8°

144.2°

Step-by-step explanation:

Definition of Supplementary Angles: They add up to 180°

Step 1: Set up equation

3x + 12x + 1 = 180

Step 2: Solve

15x + 1 = 180

15x = 179

x = 11.93

Step 3: Find angles

∠1 = 3x

m∠1 = 3(11.93) = 35.8°

∠2 = 12x + 1

m∠2 = 12(11.93) + 1 = 144.2°

Answer:

$144

Step-by-step explanation:

15*4=60

60*6=360

360*0.6=216

360-216=144

Answer:

The point P on line AB such that the ratio of AP to PB is 2:1 is P = (0, 3)

Step-by-step explanation:

The dimension of the graph can be taken as 1 box = 1 unit

Therefore;

The coordinates of the point A = (-2, -7)

The coordinates of the point B = (1, 8)

For the a point P that gives the ratio AP to PB = 2:1 is given as follows;

The fraction of AP to AB = 2/(2 + 1)×AB = 2/3 × AB

Which gives;

The coordinate of the point P = (-2 + 2/3×(1 - (-2)), -7 + 2/3×(8 - (-7)))

P = (0, 3)

Therefore;

The coordinates of P such that the ratio of AP to PB is 2:1 is P = (0, 3).

Answer: The whole equation is simplified down to -20.

Step-by-step explanation:

Here's how I got my answer:

Equation is 4p^2 + 7q^3

All you need to do is plug in the values they have given you. If you apply them, you get:

4 (-3)^2 + 7 (-2)^3

Which simplifies to:

4 (9) + 7 ( -8)

Simplify furthermore:

36 + (-56)

Which gives you:

-20

Answer:

The first step is to subtract 9 from each side

Step-by-step explanation:

2x+9=21

The first step is to subtract 9 from each side

2x+9-9 = 21-9

2x = 12

Then divide by 2 on each side

2x/2 = 12/2

x = 6

Answer:

That would be to collect like terms

Step-by-step explanation:

Further explanation

[tex]2x+9=21\\\\Collect\: like\: terms\\2x = 21-9\\\\Simplify\\2x = 12\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2\\\frac{2x}{2} = \frac{12}{2} \\Simplify\\\\x =6[/tex]

Answer:

0

Step-by-step explanation:

[tex]\sin(12\º) - \cos(78\º)[/tex]

Consider the cofunction identity:

[tex]$\boxed{\sin(\theta)=\cos \left(\frac{\pi}{2} - \theta \right)} $[/tex]

[tex]$\boxed{\sin(\theta)=\cos \left(90\º - \theta \right)} $[/tex]

[tex]\sin(12\º)=\cos(90\º - 12\º)=\cos(78\º)[/tex]

[tex]\therefore \cos(78\º) - \cos(78\º) = 0[/tex]

The value of Sin 12-cos 78 is 0

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: sin 12 - cos 78​ = Sin(90-12)-cos78 but we know sine of any angle = the cosine of any complementary angle

Thus we have Sin78-Cos78=0

Hence, The value of Sin 12-cos 78 is 0

Learn more about trigonometric functions here:

https://brainly.com/question/6904750

#SPJ2

kinda disrespectful someone didn't answer this but anyway..

Without an explanation your answer is 7

W/ an explanation:

___________________________________

7 should be removed from the list because all the other numbers can multiply to 48

1 x 48   ✔

2 x 24  ✔

3 x 16   ✔

4 x 12   ✔

6 x 8    ✔

7 x ?     ❌

Thus, 7 is left with nothing to multiply by besides itself which would give you 47 but the number we have the list of is 48. So 7 is your number to remove from the list.