in simplest form is _______.

Answer:

15:6:14

Step-by-step explanation:

AB:BD is split into a total of 3+4=7 parts.

AC:CD is split into a total of 3+2=5 parts.

So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).

AB would be (3/7)*35=15.

CD would be (2/5)*35=14

BC would be 35-(15+14)=6

So, the ratio is 15:6:14.

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

distribute the 8,17,and 4 throughout the parentheses to get

8x-8+17x-51=16x-36+4

combine like terms

25x-59=16x-32

subtract 16x from both sides and add 59 to both sides to get

9x=27

divide both by 9

x=3

Answer:

What is HL?  holey logic? hawk a loogy? half lies? honey lemon? heavenly lampshade? hand lotion?

Step-by-step explanation:

as AB = DE, the only options given where x = y - 1 are the the second and third.

as AC and AD are equal from ASA

3x - 2 = 2y + 1

3x - 3 = 2y

y = 1.5x - 1.5

the only x,y pair that fits is x = 5, y = 6

Answer:

144

Step-by-step explanation:

12 x 2 =24 12 x 10 =120 120 + 24 =144

Hi, let's solve our equation.

[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]

[tex]12\cdot12[/tex]

_______________

we can use multiple methods to solve this problem.

________________

[tex]{\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}}[/tex]

Here is how it would look to do distributive property

[tex](10\cdot12)+(2\cdot12)[/tex]

Follow PEMDAS rule

Solve it and we get the answer of 144.

________________

[tex]{\huge{\boxed{\mathbb{REGULAR\:MULTIPLICATION}}}[/tex]

just multiply [tex]12\cdot12[/tex] which equals 144

________________

[tex]{\huge{\boxed{\mathbb{FRACTION\:DIVISION}}}[/tex]

here is how it would look like.

[tex]\frac{12}{1}\div\frac{1}{12}[/tex]

Follow the rule, also known as keep change flip, which makes it look like

[tex]\frac{12}{1}\cdot\frac{12}{1}[/tex] which equals 144

________________

[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]

144

The solution of the system of equation is (6, 13) and (1, 3).

The system of equation can be solved using substitution method. Therefore, let's solve the system of equation by substitution method.

y = 2x + 1

y = x² - 5x + 7

substitute the value of y in equation(ii)

2x + 1 =  x² - 5x + 7

x² - 5x + 7 - 2x  - 1 = 0

x² - 7x + 6 = 0

x² - x - 6x + 6 = 0

x(x - 1) - 6(x - 1) = 0

(x - 6)(x - 1) = 0

x = 6 and x = 1

Hence,

when x = 6

y = 2(6) + 1

y = 12 + 1 = 13

when x = 1

y = 2(1) + 1

y = 3

learn more on system of equation here:https://brainly.com/question/20023128

#SPJ1

Answer: The answer is B.)

Have a great Day/Night!

Since molly's solution tally's with the given solution, hence Molly's solution is correct.

Given the working on a partial product of 93 and 51 carried out by Molly as shown:

[tex]\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}​[/tex]

This partial product can also be solved as shown below:

[tex]93 \times 51 = (90+3)\times (50+1)[/tex]

Applying the distributive law:

[tex]93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743[/tex]

Since molly's solution tally's with the given solution, hence Molly solution is correct.

Learn more about partial product at: https://brainly.com/question/24716925

Answer:

Step-by-step explanation:

(m + (-2)) / 2 = 3

    (m + (-2)) = 6

               m = 8

(4 + n) / 2 = 1

      4 + n = 2

            n = - 2

Answer:

[tex]\dfrac 34 , \dfrac 23 , \dfrac 35[/tex]

Step-by-step explanation:

[tex]\dfrac 34 >\dfrac 23 >\dfrac 35[/tex]

Based on the information given, it can be deduced that the annual interest rate will be 8.5%.

Principal = 5000

Interest = 5425 - 5000 = 425

Time = 1 year

Rate = Unknown.

Simple Interest = PRT / 100

425 = (5000 × R × 1)/100

42500 = 5000R.

R = 42500/5000

R = 8.5%

In conclusion, the correct option is 8.5%.

Learn more about the interest rate on:

https://brainly.com/question/25767935

Answer:

3546 ft

Step-by-step explanation:

First find length of base to center of mountain.

(3150*sin 16 deg)/(sin 74 deg) = ~903 ft

Then dist of point from centre of mountain

903+725=1628 ft

Then cable length

(3150^2 + 1628^2)^0.5 = ~3546 ft

Answer:

y = -5

Step-by-step explanation:

yeah-ya....... right?

Answer:

Step-by-step explanation:

as both y values are -5, slope is zero and y intercept is -5

y = 0x - 5

y = -5

Answer:

[tex]m=-2\ 000; q=17\ 000[/tex]

Step-by-step explanation:

First of all, whoever formatted that table is a criminal.

Now, slope first, it's the easiest: the slope in a table like that is the difference between two consecutive position: ie [tex]13\ 000 - 15\ 000[/tex] or [tex]11\ 000-13\ 000[/tex], being careful of subtracting the higher position (not value!) minus the lower, or right minus left. Your slope thus is [tex]-2 \ 000[/tex]. Intercept is found in two ways. One is writing the line in point slope form based on any two values and the slope we found, or since we're jumping integer to integer, you can look at the table in reverse and notice that if you go backwards (ie from 4 to 3 to 2 to 1) the value is increasing by 2000 every time. The intercept [tex]q[/tex]will be the value at 0, or 17 000

[tex]\text{Given that,}\\\\(x+2y)^2 - (x-2y)^2\\\\=(x+2y +x -2y)(x+2y -x+2y)~~~~;[a^2 - b^2 = (a+b)(a-b)]\\\\=(2x)(4y)\\\\=8xy[/tex]

Answer:

49

Step-by-step explanation:

3x + 34

x = 5

3 * 5 + 34

15 + 34

49

Answer:

Step-by-step explanation:

its b

[tex](9+2i)(5-3i)\\\\=45-27i+10i-6i^2\\\\=45-17i+6~~~~~;[i^2 =-1]\\\\=51-17i[/tex]

[tex] \: \: \: \: \: \: [/tex]

[tex] = \: \: \: \: 51 - 17i[/tex]

Answer: 27/8 or 3 3/8

Step-by-step explanation:

Write 3.375 as 3.375/1

then you take the numerator 3.375 and multiply it by 1000. Multiplying is to make 3.375 a whole number. Whatever you do to the numerator, you have to do to the denominator. So, we take 1x1000 aswell. Then our fraction would be 3375/1000.  

   Then, we would find the greatest common factor. The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. The GCF is 125. Then you divid 125 by the fraction, (which means that you divid the number by both the numerator and denominator) and you get the answer, which is 27/8.

  If the question is asking you to turn the fraction into a mixed number, you would have to find out how many times 8 going into 27. It goes in 3 times.  That is ur whole number. Then do 8x3 to get 24. take 27 and subtract 24 to get 3. that 3 is your numerator. The denominator stays the same.  ur final answer as a mixed number is 3 3/8.

Answer: true

Step-by-step explanation:

Answer:

x^7-7x^6+21x^5-13x^3+33x^2-35x

Step-by-step explanation:

there you go!

Answer: b=7

Step-by-step explanation:

Answer:

y = 41.65

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 49 when x = 40

49 = 40k ( divide both sides by 40 )

[tex]\frac{49}{40}[/tex] = k = 1.225

y = 1.225x ← equation of variation

When x = 34 , then

y = 1.225 × 34 = 41.65

Answer:

-1/3 or 1/-3 (it doesn't matter which one you pick because its still the same)

Step-by-step explanation:

You find slope by doing rise over run. Its left to right so you start on the left dot and go down one. This makes it -1 because you're going down, not up. You move 3 to the right which makes it positive. Once you do this itll lead you right the the 2nd point. 1 down= -1

                                       3 right=   3  

                                                -1/3

Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

[tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]  is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

[tex]30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y[/tex]

so the equation would be [tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

[tex]y=\frac{-7}{5} x+79[/tex] is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).

[tex]30 = \frac{-7}{5}(35) + y \\30 = -49 + y \\79 = y[/tex]

so the equation would be [tex]y=\frac{-7}{5} x+79[/tex]

The linear equation used to represent this situation is y = -75x + 6000

A linear equation is in the form:

y = mx + b;

where y, x are variable, m is the slope of the line and b is the y intercept.

Let y represent the amount of deer present in x years. There are 6000 deer presently, hence a = 6000. Also 75 more deer die than are born each year. Hence m = -75.

The linear equation is given by:

y = -75x + 6000

In 3 years:

y = -75(3) + 6000

y = 5775

For there to be 5325 deer:

5325 = -75x + 6000

x = 9 years

Find out more at: https://brainly.com/question/21105092

[tex]\dfrac13(x+6) = \dfrac 23 (x-9) \\\\\\\implies x+6 = 2(x-9)~~~~;[ \text{Multiplying both sides by 3}]\\\\\implies x +6 = 2x -18\\\\\implies 2x -x = 6+ 18 \\\\\implies x = 24[/tex]

Answer:

The quotient of the equation is 400

Answer:

hi

Step-by-step explanation:

the correct answer is 400

Answer:

The answer is 900 ×6= 5,400 u can use a calculator