(07.06 LC) Which statement is true about the equation fraction 4 over 5z − fraction 1 over 5z + 4 = fraction 3 over 5z + 6? It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.

Answers

Answer 1

Answer: no solution

Step-by-step explanation: 4/5z - 1/5z = 3/5z

3/5z + 4 = 3/5z + 6

No solution

Answer 2

Answer:

[tex]$z=-\frac{48}{55} $[/tex]

It has one solution.

Step-by-step explanation:

[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]

Once we have fractions we already know the values when the equation is not true. I'm talking about division when the denominator is 0. It is undefined.

The values for [tex]z[/tex] are:

[tex]$0 ; -\frac{4}{5} \text{ and } -\frac{6}{5} $[/tex]

Now let's find [tex]z[/tex]. First, we have to find the least common multiplier:

In this case: [tex](5z+4)(5z+6)(5z)[/tex]

[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]

[tex]$\frac{4(5z+4)(5z+6)}{(5z+4)(5z+6)(5z)}-\frac{1(5z)(5z+6)}{(5z+4)(5z+6)(5z)}=\frac{3(5z)(5z+4)}{(5z+4)(5z+6)(5z)} $[/tex]

I will not proceed in the way above because it would take some time to type, instead, multiply [tex](5z+4)(5z+6)(5z)[/tex] both sides.

[tex]4(5z+4)(5z+6)-1(5z)(5z+6)=3(5z)(5z+4)[/tex]

[tex](20z+16)(5z+6)-(5z)(5z+6)=15z(5z+4)[/tex]

[tex]100z^2+200z+96-25z^2-30z=75z^2+60z[/tex]

[tex]200z+96-30z=60z[/tex]

[tex]200z-90z=-96[/tex]

[tex]110z=-96[/tex]

[tex]$z=-\frac{96}{110} $[/tex]

[tex]$z=-\frac{48}{55} $[/tex]


Related Questions

Find two consecutive whole numbers that square root 109 lies between.

Answers

The closest lower value would be 10.

10^2 = 100

So the two consecutive numbers would be 10 and 11


Semicircle M has a radius of 15 inches. If an ant walks from A to B directly along diameter AB and a beetle
walks from A to B around ACB. how much farther, to the nearest tenth of an inch, does the beetle walk?

(1) 17.1
(2) 32.1
(3) 64.2
(4) 79.2​

Answers

Answer:

A,17.1 in

Step-by-step explanation:

circumference of sphere=2πr

Beetle walks=πr=π×15=15π=15×3.14≈47.1 in

Ant walks=d=2r=2×15=30

difference=47.1-30=17.1 in

simplify 17+(-4)-(-16)-2

Answers

Answer:

17 - 4 + 16 - 2

13 + 14

27

Hope it helps!! Good luck on your assignment!! :)

Step-by-step explanation:

You have been given the equation: 17+(-4)-(-16)-2. Remember we can always use tricks to find the equation. Plus times Minus is Minus. Minus times Minus is plus. And Plus times Plus is Minus. I would appreciate if you mark me as brainliest!! :)

______________________________

Hey!!!

Solution

17+(-4)-(-16)-2

= 17-4+16-2

=17+16-4-2

=33-6

=27

Hope it helps

Good luck on your assignment

_____________________________

in a triangle, what is the 3rd angle measure if the other two angles are each 60

Answers

the answer is 60. i hope this helps if it does please mark brainliest
Answer: 60 degrees

Explanation: the two other measures add up to 120 degrees. The triangle sum property states that every triangle always adds up to 180 degrees. So, 180 - 120 = 60 degrees. Therefore, the third angle measures 60 degrees.

Can someone Help me?

Answers

Answer:

The answer for the surface area is 25.12

Step-by-step explanation:

By using the formula 1/3 x 3.14 x h x r^2

You would input the numbers and then multiply them all together to get the desired answer

Help somebody please

Answers

Answer:

[tex]62[/tex]

Step-by-step explanation:

[tex]2x^2+15x-1[/tex]

[tex]2(3)^2+15(3)-1[/tex]

[tex]2(9)+15(3)-1[/tex]

[tex]18+45-1[/tex]

[tex]=62[/tex]

[tex]answer \\ = 62 \\ solution \\ x = 3 \\ 2 {x}^{2} + 15x - 1 \\ = 2 {(3)}^{2} + 15 \times 3 - 1 \\ = 2 \times 9 + 45 - 1 \\ = 18 + 45 - 1 \\ = 63 - 1 \\ = 62 \\ hope \: it \: helps[/tex]

Pls Need Help!
Triangle Q S R. Angle Q is 98 degrees and angle R is 37.6 degrees. Triangle T U V. Angle U is 98 degrees and angle V is 37.6 degrees.

Which statement is not true about these triangles?
A. ∠Q ≅ ∠T based on the third angle theorem.
B. ∠S corresponds to ∠V.
C. ∆QRS ~ ∆TVU based on the angle-angle criterion.
D. ∆RQS ~ ∆VTU based on the angle-angle criterion.

Answers

Answer:  ∠S corresponds to ∠V.

The solution is Option B.

The measure of angle ∠S corresponds to ∠V

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the first triangle be ΔQSR

Let the second triangle be ΔTUV

Now , the measure of ∠Q = 98°

The measure of ∠R = 37.6°

The measure of ∠U = 98°

The measure of ∠V = 37.6°

So , the measure of the third side of the triangles is

The measure of ∠S = measure of ∠T = 180 - ( 98 + 37.6 )

The measure of ∠S = measure of ∠T = 44.4°

And , ∆QRS ~ ∆TVU based on the angle-angle criterion

So , ∠Q ≅ ∠T based on the third angle theorem

And , ∆RQS ~ ∆VTU based on the angle-angle criterion

Hence , the false statement is ∠S corresponds to ∠V.

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Could you plz help me with this one question

Answers

The answer is 90

Hope this helped

Answer:

90 degrees.

Step-by-step explanation:

Add all of the degrees together 270 plus 90 its makes a 360 degree.

Monique made several batches of soup for a potluck supper. Each batch required 3/4 of a pound of potatoes, and she used a total of 6 1/2 pounds of potatoes. How many batches of soup did Monique make?

Which division and multiplication problems could represent this scenario? Check all the apply.

A)3/4 divided by 13/2

B)13/2 divided by 3/4

C)3/4(13/2)

D)13/2(3/4)

E)13/2(4/3)

Answers

Answer:

B and E

Step-by-step explanation:

Answer:

B) 13/2 divided by 3/4 and E) 13/2(4/3)

PLSS HELP !!!A data set has a standard deviation of 2.5. The element 16 is an element of a data set, with a z-score of 2.4. What is the mean of the data set?

Answers

Answer:

10

Step-by-step explanation:

Given the following parameters

standard deviation σ = 2.5

z-score Z = 2.4

observed value x = 16

Mean of the dataset μ = ?

Using the formula for calculating the z-score as shown to calculate the mean

[tex]Z = \frac{x - \mu}{\sigma}[/tex]

On substituting the values;

[tex]2.4 = \frac{16-\mu}{2.5} \\2.4 * 2.5 = 16-\mu\\6 = 16-\mu\\\mu = 16-6\\\mu = 10[/tex]

The mean of the dataset is 10

points
In the diagram, m B = m AED, AD = 8, AC = 22, and
BC = 11. Find ED.
с
E
A
D
B

Answers

I would have to see the diagram

The value of ED is 4 units in the diagram.

It is given that in the diagram m ∠B = m∠AED, AD = 8, AC = 22, and BC = 11.

It is required to find the ED.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have m ∠B = m∠AED both angles are equal.

And the m ∠A in the ΔADE and m ΔABC are the same.

By using the angle-angle similarity theorem ( ∵∠A=∠A)

[tex]\rm \frac{ED}{BC} = \frac{AD}{AC} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm ED = 4 \ unit[/tex]

Thus, the value of ED is 4 units in the diagram.

Learn more about the triangle here:

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Which function has a vertex at the origin?

A f(x) = (x + 4)2
B fx) = x(x - 4)
C f(x) = (x - 4)(x + 4)
D f(x)= x²

Answers

answer D

Step-by-step explanation:

Hello,

we can check the graph of the functions as attached or compute the vertex analytically

from the graph you can see that D is the correct answer

I think that it is answer D

What number is the same percent of 36 as 5 is of 24?
If possible please show work:))

Answers

Answer:

7.4999999988

Step-by-step explanation:

5/24=0.2083333333

5 is 20.8% of 24

36*0.2083333333=7.4999999988

Answer:

7.5

Step-by-step explanation:

x/36=5/24

x= 36*5/24

x= 7.5

20 POINTS!! Let logb A = 3; log, C = 2; log, D= 5
What is the value of logb(a5c2/d6)?

Answers

Answer:

-11

Step-by-step explanation:

logb ( a^5 c^2 / d^6)

Splitting these into log (xy/z) = log x + log y  -  logz

logb ( a^5)  +logb ( c^2)  - logb( d^6)

We also know that log x^y = y log x

5logb ( a)  +2logb ( c)  - 6 logb( d)

Given logb ( a)=3  logb ( c) =2   logb( d)=5

5 * 3 + 2* 2 - 6* 5

15 +4 -30

19 - 30

-11

Answer: -11

Step-by-step explanation:

just got it right on ap3x

The equation y = 65.89x + 22.17 fits the scatterplot of the values for stock
ABC over the past month with an r-value of 0.9948. How much do you think
ABC will be worth at x = 34 days?
A. $2343.31
B. $22.17
C. $2262.43
D. $65.89

Answers

The answer is C. $2262.43!

The amount of ABC will be at x = 34 days is, $2245.46.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation y = 65.89x + 22.17 fits the scatterplot of the values for stock ABC over the past month with an r-value of 0.9948.

Now, we can calculate the value of ABC by substituting x = 34 into the equation as;

y = 65.89(34) + 22.17

y = 2245.46

Therefore, the value of ABC at x = 34 days is approximately $2245.46.

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5x2+3=0. find a=, b=, c=. thank you:)​

Answers

Answer:

a=5 b=0 c=3

Step-by-step explanation:

The quadratic equation is written as

ax^2 + bx+c =0

5x^2 +3 =0

5x^2 +0x  +3 =0

a=5 b=0 c=3

Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular? *

A. 7th
B. 8th
C. Baseball
D. Soccer

Answers

Answer:

Baseball

Step-by-step explanation:

You look at the table and find that 38/50 students play baseball, while the other 12 play soccer.

For both 7th and 8th grade, baseball is the most popular sport. Baseball has 11 votes for 7th grade and 27 votes for 8th grade.

Use the distributive property to write the following sum as a product.
17a+17b

Answers

Answer:

17(a+b)

Step-by-step explanation:

17 is distributed in the initial equation to both the a and the b

Answer:

17(a+b)

Step-by-step explanation:

Factor out the common term

17a+17b

17(a+b)

z2 (z squared) when z = 0.7 help us out

Answers

Answer:

0.49

Step-by-step explanation:

0.7^2 is the same as 0.7*0.7.  You just have to times them together!

Hope this helps!

The solution is z^2= 0.49.

What is Square root?

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have.

z^2=z*z

when z = 0.7

z^2= 0.7*0.7

     =0.49

0.7^2 is the same as 0.7*0.7.

Hence, the solution is z^2= 0.49.

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please help! i need this asap

Answers

philip equation
ordered data: 3o(oranges), 3g(green), 6y, 8r, 13b(black, 15b(blue
mean: 8 mode: 3 range: 12

i need help please....

Answers

Answer:

34

Step-by-step explanation:

area = (1/2)base * height.

area= half of 17 times 4

a=8.5 x 4

a=34

Answer: C

Step-by-step explanation:

Area = 1/2 bh

Area = 1/2 x 4 x 17

= 34 sq inches

Can someone help please, thank you.

Answers

Answer: y - 2 = 3/2(x + 1)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1). Where m is the slope. so you can just fill in:

y - (2) = 3/2(x - (-1))

y - 2 = 3/2(x + 1)

What is the area of the figure?
2ft
1 1/3 ft
1/3 ft
5 ft

Answers

Answer:

12

Step-by-step explanation:

Graph the solution of the inequality.
-4 < 2t < 2
PLZ HELP NOW

Answers

Answer:

B

Step-by-step explanation:

-4<= 2t <2

-4/2<= t <2/2

-2<= t <1

(Its touches -2 but doesnt touch 1)

Answer:

Firstly you have to divide by 2 to get 't' so -4/2=-2

2/2=1

so the simplified inequality= -2<t<1

< and > are both illustrated as hollow circles so on a number line put a hollow circle on -2 and 1 and attach with a line

Find the mystery number from the following clues. • It is a two-digit number. • It is a factor of 48. • It is a multiple of 6. • The sum of the digits is 3.

Answers

Answer:

It might be 24 but probaly not.

Step-by-step explanation:

It is the first 3 , but am not sure about the last one.

There are some parallelograms that are not rectangles

Answers

Answer:

true

Step-by-step explanation:

This is a true statement

To be a rectangle it must have 4 right angles and 2 pairs of parallel sides

A rhombus has 2 pairs of parallel sides so it is a parallelogram, but does not have to have 90 degree angles.    (Rhombuses with 90 degree angles are squares)

_________________________________

Yes,it is true.

There are some parallelograms that are not rectangles.

Rectangle are just the special case of parallelogram where the angles are all 90 degree.All rectangles have 90 degree angles and with parallelogram that does not always have to be the case. Some parallelograms are squares,rhombus and many more.A parallelogram is a quadrilateral with 2 pairs of opposite,equal and parallel sides.

Hope it helps..

Good luck on your assignment

______________________________

How do I solve this 4x-2y=8 y=3/2x-2

Answers

Answer:

y=1 and x= .5

Step-by-step explanation:

distribute

the x has to be solved

they when got the answer

input the answer you got for x into the y and subtract and divide

the answer is one for x

plz answer this asap

Answers

H.

Explanation: A function only has one answer for each in put, but in this situation 2 has two answers(1 and 7). So H is NOT a function.

the vertex of this parabola is at (3,-2). When the x-vaue is 4, the y-value is 3. What is the coefficient of the squared expression in the parabola equation?

Answers

Answer:   5

=========================================================

Explanation:

Vertex form is

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

We are told the vertex is (3,-2), so we know (h,k) = (3,-2)

y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2

--------

Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'

y = a(x-3)^2 - 2

3 = a(4-3)^2 - 2

3 = a(1)^2 - 2

3 = a - 2

3+2 = a

5 = a

a = 5

This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.

Simplify x^2-9/x^2+x-12

Answers

Answer: \frac{x+3}{x+4}

Step-by-step explanation:

\frac{x^2-9}{x^2+x-12}

\frac{(x+3)(x-3)}{(x+4)(x-3)} =\frac{x+3}{x+4}

Answer: x⁴+x³-12x²-9/x²

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