Suppose Q is the midpoint of PR. Use the information to find the missing value.

11) PQ = 3x + 14 and QR = 7x - 10 x =

Answer:

Separate the stones into 3 groups of 3.

Let's call each the three groups A, B, and C.

1) Place group A and group B on the two plates of the scale. There are two possible outcomes i) and ii) below:

i) The groups have different weights. A is heavier than B or B is heavier than A. Take the heavier group. Place two stones from this group on the scale. If one is heavier than the other, this is it. If they are equal, the stone not on the scale is it.

ii) Groups A and B have equal weights. The heavier stone in in group C. Using group C, place two stones from this group on the scale. If one is heavier than the other, this is it. If they are equal, the stone not on the scale is it.

Answer:

x=10

Step-by-step explanation:

Step 1: Add x to both sides

Step 2: Subtract 2 from both sides.

Step 3: Multiply both sides by 2.

Question:

Select expression that is mathematically equivalent to

[tex]\frac{x}{y-z} + (a-b)*c[/tex]

a) [tex]x/y - z + (a - b) * c[/tex]

b) [tex]x/(y - z) + (a - b) * c[/tex]

c) [tex]x/y - z + a - b * c[/tex]

d) [tex]x/(y - z) + a - b * c[/tex]

Answer:

[tex]x/(y - z) + (a - b) * c[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{y-z} + (a-b)*c[/tex]

Required

Determine its equivalent

Start by writing y - z in bracket;

[tex]\frac{x}{y-z} + (a-b)*c[/tex]

becomes

[tex]\frac{x}{(y-z)} + (a-b)*c[/tex]

When - is used as divide, it is equivalent to /

The given expression can then be rewritten as

[tex]x/(y - z) + (a - b) * c[/tex]

Hence;

[tex]\frac{x}{y-z} + (a-b)*c[/tex] is equivalent to [tex]x/(y - z) + (a - b) * c[/tex]

Answer:

T will equal 4

Step-by-step explanation:

T-4=T-4

T+4=T+4

19+(-19)=0

Step-by-step explanation:

So first lets simplify this. We can use the method keep,change, change to do this. Keep the value of positive 19. Then change the + sign to - and the - sign to plus which gets us

19-(+19).

We can remove the +since we know its positive leaving 19-19 which is 0

Answer:

.08(50h) Because if the tax rate is 8%, then that is 1.08% of 50h.

Step-by-step explanation:

Answer:

47 degrees

Step-by-step explanation:

shown by the square this angel is 90 degrees. 90 - 43  = 47

Answer:

47

Step-by-step explanation:

Therefore

90-43=41

Answer:

8

Step-by-step explanation:

x² − x = 56

x² − x − 56 = 0

(x − 8) (x + 7) = 0

x = -7 or 8

x is positive, so x = 8.

Answer:

70123214.6cm^2

Step-by-step explanation:

Answer:

10x+8=4x+(-4).

10×+8=4x-4.

collect like terms.

10x-4x=-4-8.

6x=-12.

x=-12/6.

x=-2.

Question:

What is the equation?

Answer:

5040

Step-by-step explanation:

7 x 6 x 5 x 4 x 3 x 2 = 5040 different ways. Look at it this way: The first place can be taken by any of the 7 objects, which leaves any of 6 objects available for second place, which leaves any of 5 objects that then leaves 4 then 3 then 2 then 1

HOPE THIS HELPS

Answer:

5 in the 85327= five thousand units

5 in the 435= five units

Step-by-step explanation:

85,327= eighty five thousand, three hundred and twenty seven

Value of five or the position if five in the above number is the thousand position

5 in the above = five thousand unit

435= four hundred and thirty five

The position of five in the above number is the unit position

Five in the above= five unit

Answer:

The answer is "8 hours"

Step-by-step explanation:

by the given value we create the equation that is:

 [tex]\to 45x-40=300\\\\\to 45x=300+40\\\\\to 45x=340\\\\\to x=\frac{340}{45}\\\\\to x= 7.55\ \ hours \ or \ \ \ 8 \ hours[/tex]

Answer:

Step-by-step explanation:

SI units are the modern form of the metric system of measurement

The SI units are metric system of measurement

The International System of Units comprises a coherent system of units of measurement starting with seven base units. The units and their physical quantities are the second for time, the meter (sometimes spelled meter) for length or distance, the kilogram for mass, the ampere for electric current, the kelvin for thermodynamic temperature, the mole for amount of substance, and the candela for luminous intensity. It is represented as SI

Given data ,

Let the units of measurements be represented as A

Now , the value of A is

Seven base units - the second (symbol s, the unit of time), the metre (m, the unit of length), the kilogramme (kg, the unit of mass), the ampere (A, the unit of electric current), the kelvin (K, the unit of thermodynamic temperature), the mole (mol, the unit of substance amount), and the candela make up the SI's coherent system of units of measurement (cd, luminous intensity)

Therefore , the SI units are metric system of measurement

Hence , the SI units are solved

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Answer:

width = 5k²

length = 3k² + 7k + 4

Step-by-step explanation:

(see attached)

Answer: h(h-3)(h+4)  

Step-by-step explanation:

To find the volume of rectangular-shaped box  we will have to multiply the length by the width by the height.

Given the statements  we can determine the  length with the equation

L = h -3  where l is the length and h is the height.

the width can also be represent by the equation

w = h + 4        

The height is is h and the length is h- 3  and the width is also h+4  so the expression will be    h(h-3)(h+4)

Answer:

True

Step-by-step explanation:

This set is a function because every input value only has one output value.

Answer:

Finite Set

Step-by-step explanation:

A finite set is a set that contains a fixed number of elements, that is, the elements are countable. However, the opposite of a finite set is an infinite set which does not have a fixed number of elements and is uncountable.

Examples of a finite set are

a

Answer:

a.  Point E

b  Line AB

Step-by-step explanation:

The lines AB and CD will intersect at a point

The Point is Point E

Planes will intersect at a line

Planes X and Plane Y intersect at line AB

Answer:

a.  point E

b.  points A and B ( which is line AB )

Step-by-step explanation:

a.  the intersection of AB and CD = point E

b.  the intersection of plane X and Y = points A and B ( which is line AB )

Answer:

10+14c

Step-by-step explanation:

You multiply every number inside the parenthesis by 2.

Answer:

10+14c

Step-by-step explanation:

Multiply two times what is in parentheses.

10+14c

Answer:

let the number of cows = x

let the number of chickens = y

since there are 42 heads:

x + y = 42

and since a cow has 4 legs, and a chicken has 2

4x + 2y = 144

from first equation:

x + y  = 42

x = 42 - y (now, we will substitute this in the second equation)

4(42 - y) + 2y = 144

168 - 4y + 2y  = 144

2y = 168 - 144

2y = 24

y = 12

now, we know the number of chickens. we will replace y with 12 in the first equation since it is more simpler

x + 12 = 42

x = 30

So, there are 30 cows and 12 chickens

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Answer:

Step-by-step explanation:

-x - 6 > 21 - 28x

27x - 6 > 21

27x > 27

x > 1

Answer:

c. tr(AB) = tr(A)tr(B)

Step-by-step explanation:

The trace of a matrix is only valid for a square matrix, that is a n by n matrix. The trace of a matrix is the sum of all its diagonal elements. The following properties of trace holds for a matrix A and B with size n by n and a real number c.

i) The trace sum of two matrix is equal to the sum of their individual traces. That is:

tr(A + B) = tr(A) + tr(B)

ii) The trace of the product of a scalar and a matrix is the same as the product of the scalar and the trace of the product, that is:

tr(cA) = ctr(A)

iii) The trace of a transpose of a matrix is equal to the trace of the matrix, that is:

[tex]tr(A^T)=tr(A)[/tex]

iv) The trace of a product of matrix is given as:

tr(AB) = tr(BA)

Answer:

c. tr(AB) = tr(A)tr(B)

1. m=22/7

2. m=672/23

7m+2=24

7m=24-2

7m=22

m=22/7

Answer:

10

Step-by-step explanation:

xy + 5x + 4y = -5

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

(x + 4) y = -5x − 5

y = -5 (x + 1) / (x + 4)

For y to be large as possible, (x + 1) / (x + 4) must be negative.  That means -4 < x < -1.  So x is either -2 or -3.

The possible values of y are:

y = -5 (-2 + 1) / (-2 + 4) = 5/2 (not an integer).

y = -5 (-3 + 1) / (-3 + 4) = 10.

Answer:

608945 is the answer.

Step-by-step explanation:

Because..

After 14 hours the population of bacteria is 14190.

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.

Given that Some populations, such as bacteria, can be expected under the right conditions to show exponential growth

If 5500 bacteria of a certain type are incubated under ideal conditions, then after t hours we expect to find [tex]5500(1.07)^{t}[/tex] bacteria present.

We need to find how many bacteria would we expect to find after 14 hours

To find this we have to replace t by 14

5500×(1.07)¹⁴

5500×2.58

14190

Hence, after 14 hours the population of bacteria is 14190.

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