4. Find the roots of the equation 30x – 45 = 5x? by factoring.

Answers

Answer 1

Answer:

[tex]x = 1\frac{4}{5}[/tex]

Step-by-step explanation:

Factor and set each factor equal to zero.

Answer 2

Answer:

Step-by-step explanation:

30x-45=5x

30x-5x=45

25x=45

x=45/25

x=9/5


Related Questions

Give the trigonometric ratio as a fraction:
Tan Z
X
24
26
Y
10
z

Answers

Answer:

your answer is B

Step-by-step explanation:

Answer:

24/ 10

Step-by-step explanation:

We know,

tan θ = opposite/adjacent

∴ tan Z =  24/ 10

Yh Helllpppp I will give brainliest!

Answers

Step-by-step explanation:

TSA = 3543.72 hope its helpfull

Ali bought 20 dozen oranges 10% of them were rotten. How many oranges were good ?​

Answers

Answer:

Step-by-step explanation:

rotten oranges=10/100*20

200/100

2 dozen

good oranges=total dozen-rotten oranges

20-2

18 d0zen were good oranges.

The following set of coordinates represents which figure?

(7, 10), (4, 7), (6, 5), (9, 8)

Answers

Answer:

yufglufgkhjtshjskjhlesglezgzeghllghjr4aeklbxjhihGHIUYGUYG

Step-by-step explanation:

Solve the equation ​ d divided by 1.2 is equal to 6 ​ PLS HELPP

Answers

Answer:

The answer is 7.2.

Step-by-step explanation:

Have a great day.

Answer:

d = 7.2

Step-by-step explanation:

all you have to do is multiply 1.2 by 6 to get your answer

[tex]1.2 \times 6 = 7.2[/tex]

Karen can make 14 cakes in 6 hours. how many cakes can she make in 15 hours?

Answers

Answer:  35 cupcakes!

Step-by-step explanation:

Which question is a statistical question?

A. How tall is the oak tree?

B. How much did the tree grow in one year?

C. What are the heights of the oak trees in the schoolyard?

D. What is the difference in height between the oak tree and the pine tree?

Answers

C. What are the heights of the oak trees in the schoolyard
the answer to the question is B.

5x/6-x/3+1 =8/9
Find the LCD that would eliminate the fractions

Answers

Answer:

answer is in the picture

Expand and combine like terms.
(4m^5) – 5m^6) (4m^5 + 5m^6) =

Answers

Answer:

[tex]16m^{10} -25m^{12}[/tex]

Step-by-step explanation:

hope this helps :)

The expand and combination like terms (4m^5) – 5m^6) (4m^5 + 5m^6) is -9m^12 + (16)m^10.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

The equation=(4m^5) – 5m^6) (4m^5 + 5m^6)

Now,

To expand the expression, we need to multiply each term inside the first parentheses by each term inside the second parentheses. This gives us:

(4m^5 - 5m^6) (4m^5 + 5m^6) = 4m^5 * 4m^5 + 4m^5 * 5m^6 - 5m^6 * 4m^5 - 5m^6 * 5m^6

To simplify the expression, we need to use the exponent rule that a^b * a^c = a^(b + c) and combine the terms that have the same base and exponent. This gives us:

4m^5 * 4m^5 + 4m^5 * 5m^6 - 5m^6 * 4m^5 - 5m^6 * 5m^6 = 16m^(5 + 5) + 20m^(5 + 6) - 20m^(6 + 5) - 25m^(6 + 6)

To further simplify the expression, we need to add the exponents and simplify the coefficients. This gives us:

16m^(5 + 5) + 20m^(5 + 6) - 20m^(6 + 5) - 25m^(6 + 6) = 16m^10 + 20m^11 - 20m^11 - 25m^12

To combine like terms, we need to add or subtract the coefficients of the terms that have the same base and exponent. This gives us:

16m^10 + 20m^11 - 20m^11 - 25m^12 = (16 - 25)m^12 + (20 - 20)m^11 + (16)m^10

= -9m^12 + (0)m^11 + (16)m^10

= -9m^12 + (16)m^10

Therefore, the equation will be equal to -9m^12 + (16)m^10.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

What is the answer? {y=2x−6 y=5x−21

Answers

The answer would be b because if you substitute 5 in for x y=2x-6 would equal 4 and y=5x-21 would equal 4. I hope this helps!

Answer:

x=5, y=4. (5, 4).

Step-by-step explanation:

y=2x-6

y=5x-21

--------------

2x-6=5x-21

2x-5x-6=-21

-3x-6=-21

-3x=-21+6

-3x=-15

3x=15

x=15/3

x=5

y=2(5)-6

y=10-6

y=4

What do cos and sin mean?

Answers

Answer and Step-by-step explanation:

These two terms (pronounced as Sine and Cosine) are used to solve for the sides and angles of a triangle in Trigonometry.

They are functions revealing the shape of a right triangle.

Sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle.

Cosine is also a trigonometric function of an angle. The cosine of an angle is the relation of the length of the side that is adjacent that angle, to the length of the longest side of the triangle.

#teamtrees #PAW (Plant And Water)

5/6 x 3/4 as an array is?

Answers

Question:

5/6 x 3/4 as an array is?

Answer:

0.625 or 5/8

Step-by-step explanation:

Using Arrays to Explore Numbers

Arrays are useful models for multiplication which can be used in a variety of ways, ranging from highly structured lessons to games and open investigations.

An array is formed by arranging a set of objects into rows and columns. Each column must contain the same number of objects as the other columns, and each row must have the same number as the other rows.

The following array, consisting of four columns and three rows, could be used to represent the number sentence 3 x 4 = 12, 4 x 3 =12, 3 + 3 + 3 + 3 = 12 and 4 + 4 + 4 =12.

       

Building Multiplication Facts and Tables

Arrays can be used for building multiplication facts in a meaningful way. Before drilling and memorising tables, children must understand how these facts are derived. For example, by progressively adding another column of three objects, children can build the three-times tables for themselves. This representation not only assists in understanding the process, but provides a visual image for children to draw upon as they begin to use and memorise the basic number facts.

             

Using arrays to explore larger numbers

Arrays can be helpfully used to explore calculations such as 13 x 5 where the array can be split into useful chunks such as 10 and 3. This means that children can use their known number facts to work out calculations.

Here 13 x 5 = (10 x 5) + (3 x 5).

After a while drawing all the dots can get very tedious! The blank array then becomes a very useful tool for helping children model their thinking and work out how to do more complex multiplications in an informal way.

Here's a child using the blank array, as a thinking tool, to help them work out 15 x 14.

The blank array helps children to use other strategies, such as compensating, when carrying out multiplication. Here, to work out 34 x 9, the child has decided to do 34 x 10 and then take off the 34 x 1.

Beyond the blank array this 'dividing the multiplication into easy parts' strategy can be formalised into the grid method. The children can see how the 'abstract' grid method overlays the array and formalises the blank array into a standard form.

Division as the Inverse Operation of Multiplication

Of the four operations, division is the most troublesome for young students. Full understanding of division tends to lag well behind the other operations. For many children opportunities to explore the concept with concrete materials are curtailed well before they perceive the relationships between division and the other three operations. One such relationship, the inverse relationship between division and multiplication, can be effectively illustrated using arrays.

For example; 3×5=15  or 3 rows of 5 make 15, can be represented by the following array.

Looking at the array differently reveals the inverse, that is

15÷3=5  or 15 put into 3 rows makes 5 columns - or 5 in each row.

Language clearly plays an important role in being able to express the mathematical relationships and the physical array supports this aspect of understanding by giving the children a concrete image to talk about.

Placing the mathematics into a real-life context through word problems can facilitate both understanding of the relationship and its expression through words.

For example, "The gardener planted 3 rows of 5 seeds. How many seeds did she plant?" poses quite a different problem to "The gardener planted 15 seeds in 3 equal rows. How many seeds in each row?" yet both these word problems can be modelled using the same array.

Further exploration of the array reveals two more ways of expressing inverse relationships: 5×3=15 and 15÷3=5 .

The word problems can be adapted to describe these operations and highlight the similarities and differences between the four expressions modelled by the one array.

Using the blank array

Suppose you want to figure out 176 ÷ 8. We can set this up as an array with the value of one side missing.

Using known multiplication facts the value of the missing side can be built up.

So the child can see that 22 lots of 8 is the same as 176.

The array is a very powerful tool for supporting the development of children's thinking around both multiplication and division.

Sara
says that 7.09 is equivalent to 7 9/10. Do you agree? EXPLAIN

Answers

Answer:

I don't know lol

Step-by-step explanation:

I feel like I know but I can't put my finger on it \\

Luke randomly selects 25 students from his school and asks each of them how many minutes they read each night to find out how much, on average, students at his school read. This represents which type of data collection

Answers

Answer:

Simple random sampling

Step-by-step explanation:

Luke wants to study average minutes students read each night. For that matter, he has selected a 'sample' of 25 students from entire 'population' of students in school.

He has selected the sample students randomly, for collecting data related to minutes of study each night. He also collects data from them directly ie with primary contact with them.

So, primary data collection, simple random sampling - has been used as a type of data collection.

how do I make a box plot

Answers

Answer:

To construct a box plot, use a horizontal or vertical number line and a rectangular box. The smallest and largest data values label the endpoints of the axis. The first quartile marks one end of the box and the third quartile marks the other end of the box

Answer:

this may help

Step-by-step explanation:

A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value. We use these values to compare how close other data values are to them. To construct a box plot, use a horizontal or vertical number line and a rectangular box.

please help me out with this equation!
i will mark you as brainliest

Answers

Answer: Choice B

vertex = (3, -4)y intercept = (0, 5)x intercepts = (1, 0) and (5, 0)axis of symmetry:  x = 3

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

Explanation:

The vertex is the lowest point for parabolas that open upward like this. The lowest point is (3, -4). If the parabola is flipped upside down, then the vertex would be the highest point.

--------

The y intercept is where the graph crosses the y axis. For any function, it will have at most one y intercept (some don't have any at all but the most you can have is 1 y intercept). The graph crosses the vertical y axis at (0,5). We can say in short "the y intercept is 5". The y intercept always occurs when x = 0.

--------

On the flip side, the x intercept always occurs when y = 0. This is where the graph crosses or touches the x axis. We have two such locations of (1,0) and (5,0). In short, we could say "the x intercepts are 1 and 5". The term "root" is another word we could use in place for "x intercept". Unlike the y intercept, we can have as many x intercepts as we want.

--------

The axis of symmetry is the vertical line through the parabola. It is the x coordinate of the vertex. So it's not a coincidence that the vertex is at (3,-4) and the axis of symmetry is x = 3, with those '3's repeated twice.

Divide. Reduce your answer to lowest terms.


5 and 5/7 divided by -5

Answers

this is what i got -1.142

Answer:

-1 and 1/7

Step-by-step explanation:

one way

5 and 5/7 = ((5*7)+5) / 7 = 40/7

(40/7 ) / -5 = (40/7) * (-1/5) = -40/35 = -1 and 5/35 = -1 and 1/7

another way

(5 and 5/7) / -5 = 5/-5 and (5/7) * (1/5) = -1 and 1/7

d1=3.5in;d2=18in.
what is the area of the rhombus​

Answers

Answer:

Area = 31.5 squared inches

Step-by-step explanation:

I am assuming d1 and d2 diagnol lengths, so if that's true, then answer would A=(d1*d2)/2    (3.5*18)/2 = 63/2 = 31.5 squared inches

what's the value of x and y?​

Answers

Answer:

x = 45 and y = 90

Step-by-step explanation:

Let the third angle be z

z = 180 - 135 (Linear Pair)

z = 45

Since its an iscosceles triangle,

<z = <x (angles opposite to equal sides have equal angles)

<x = 45 degree

<z + <x + <y = 180

45 + 45+ <y = 180

90 + <y = 180

<y = 180 - 90

<y = 90

Therefore x = 45 and y = 90

Hope u understood please mark as brainliest

Thank You

Answer:

x= 45°

y= 90°

Step-by-step explanation:

x= angles on a straight line add up to 180°. 180°-135° = x.

y= x+y=135° & x =45°

135°- 45° = y

Need help on this ASAP

Answers

Answer:

its attatched

Please help me out whoever helps I will mark branliest

Answers

Answer:

i'm not too sure myself how to answer the problem.. but that is a translation.. A translation is just moving the shape with really changing its form or anything, just its placement

Geometry//// volume of a cylinder ✨✨✨✨

Answers

Answer:

595.82 cubic feet

Step-by-step explanation:

The formula for a cylinder is pi times radius squared times height. First, you take the diameter and divide it by two to get 4.25. Now do 4.25 times 4.25 and get 18.0625.

Now multiply 18.0625 by 10.5 to get 189.65625.

Now multiply that by pi (3.14) to get 595.82 (Rounded to the nearest hundreth)

3. Three resistors with values of 3 Ω, 4 Ω and 5 Ω are connected to a 12 V battery.
a. Draw the circuit.



b. Calculate the equivalent resistance of the circuit.


c. Calculate the current through the battery.


d. How much current is passing through each resistor?


e. Calculate the voltage drop across each resistor.



f. How does the voltage drop across each resistor compare to the voltage of the battery?


4. Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.

Answers

Answer:

I think it's 4

Step-by-step explanation:

Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.

please help im very confused

Answers

Answer:

option D : 130°

Step-by-step explanation:

m∠2 = m∠7 = 130° , (corresponding angles)

Screen Shot 2021-05-25 at 9.56.13 AM

Answers

Answer:

where is the question

have a good day :)

Step-by-step explanation:

where is the question ?
or maybe a picture, i don’t see anything.

Zahra reads 45 words per minute. at this rate. how many minutes will it take for her to read 180 words

Answers

Answer:

4 minutes

Step-by-step explanation:

I will use ratios for this equation:

[tex]\frac{1}{45} =\frac{x}{180} \\\\45x=180\\x=4[/tex]

It will take Zahra 4 minutes to read 180 words because she reads 45 words PER minute.

Graph the equation. y=2x^2-8x+3y=2x 2 −8x+3

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.

  y = 2(x^2 -4x) +3

  y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square

  y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form

i need help fast please

Answers

Answer:

40/30

Step-by-step explanation:

[tex]tan = opposite/adjacent[/tex]

[tex]tan\ \angle Z = \frac{40}{30}[/tex]

How many distinct triangles can be drawn by using three of the seven dots below? (Two
triangles are considered different if they don’t share the same three vertices.)

Answers

Answer:

With 3 dots, you can only draw 1 triangle.

Step-by-step explanation:

All Triangles must have 3 sides, and 3 angles.

Note:

Pls, brainliest.

Thank you!

PLS HELP!!!
Using the Pythagorean theorem if necessary please round your answer to the nearest 10th

1. a=7 and b=10 find C the missing side length

2. b=12 and c=13 find A the missing side length

3. A=4 and b=10 find C the missing side length

Answers

The answer would be A
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