Using the cross multiplication method, which of the following is the solution to 21/(x+4) = 7/(x+2)?

Answers

Answer 1

Answer:

Step-by-step explanation:

Hello !

Using the cross multiplication method, which of the following is the solution to 21/(x+4) = 7/(x+2)?

21(x + 2) = 7(x + 4)

21x + 42 = 7x + 28

21x - 7x = 28 - 42

14x = -14

x = -14/14

x = -1

Answer 2

Answer:

3/(x+2)= x+1

Step-by-step explanation:

21/7=3

x/x= x

4/2=2


Related Questions

Complete the table to show corresponding parts in the three figure

Answers

Answer:Corresponding parts:

Angles, sides, or vertices of two or more figures that are located in the same position when the figures are aligned.

The term corresponding means that the parts of two or more figures match when turning, flipping or sliding them. In Figure 1, If we turn the object in green  a certain angle, we will get to match both the sided and the angles of these two objects. Therefore, object in red and object in green are corresponding.

Step-by-step explanation:


Coach Beard has 24 softballs to use this fall. She orders 2 more buckets of softballs that have 20 in each bucket. How many softballs does

Answers

Answer:

64 softballs

Step-by-step explanation:

Coach Beard currently already has 24 softballs.

When she orders 2 more buckets with 20 in each, that's another 20 + 20 = 40 softballs added to the original 24. So, let's add these two numbers:

24 + 40 = 64

The answer is 64 softballs.

~ an aesthetics lover

Answer:

64 Softballs

Step-by-step explanation:

24+20+20=64

Complete parts ​(a) through ​(c) below. ​(a) Determine the critical​ value(s) for a​ right-tailed test of a population mean at the level of significance with degrees of freedom. ​(b) Determine the critical​ value(s) for a​ left-tailed test of a population mean at the level of significance based on a sample size of n. ​(c) Determine the critical​ value(s) for a​ two-tailed test of a population mean at the level of significance based on a sample size of n.

Answers

Answer:

(a) The critical value of t at P = 0.01 and 15 degrees of freedom is 2.602.

(b) The critical value of t at P = 0.05 and 19 degrees of freedom is -1.729.

(c) The critical value of t at P = 0.025 and 12 degrees of freedom is -2.179 and 2.179.

Step-by-step explanation:

We have to find the critical t values for each of the following levels of significance and sample sizes given below.

As we know that in the t table there are two columns. The horizontal column is represented by the symbol P which represents the level of significance and the vertical column is represented by the symbol '[tex]\nu[/tex]' which represents the degrees of freedom.

(a) A right-tailed test of a population mean at the α=0.01 level of significance with 15 degrees of freedom.

So, here the level of significance = 0.01

And the degrees of freedom = n - 1  = 15

Now, in the t table, the critical value of t at P = 0.01 and 15 degrees of freedom is 2.602.

(b) A left-tailed test of a population mean at the α=0.05 level of significance with a sample size of n = 20.

So, here the level of significance = 0.05

And the degrees of freedom = n - 1  

                                                = 20 - 1 = 19

Now, in the t table, the critical value of t at P = 0.05 and 19 degrees of freedom is -1.729.

(c) A two-tailed test of a population mean at the α=0.05 level of significance with a sample size of n = 13.

So, here the level of significance = [tex]\frac{0.05}{2}[/tex] = 0.025 {for the two-tailed test}

And the degrees of freedom = n - 1  

                                                = 13 - 1 = 12

Now, in the t table, the critical value of t at P = 0.025 and 12 degrees of freedom is -2.179 and 2.179.

solve question shown below

Answers

Simplify the numerator and denominator first:

5/8 + 3/4 = 11/8

-2/3 - 5/6 = -3/2

Now you have 11/8 / -3/2

When dividing two fractions change division to multiplication and flip the second fraction over:

11/8 x -2/3 = 11 x -2 / 8 x 3 = -22/24

-22/24 reduces to -11/12

The answer is -11/12

( 5+ y) + 6x when x = 10 and y =7​

Answers

Answer:

72

Step-by-step explanation:

( 5+ y) + 6x

Let x = 10 and y = 7

( 5+ 7) + 6*10

12 + 60

72

Answer:

92

Step-by-step explanation:

sub in your given numbers

do PEMDAS

Perathasieis (5 + 10) = 50

6(7) = 42

add 50 + 42

you get 90

Find the domain of y = 4 square root 4x + 2

Answers

Answer:

[tex]\Large \boxed{x\geq -\frac{1}{2}}[/tex]

Step-by-step explanation:

The domain is all possible values for x.

[tex]y=4\sqrt{4x+2}[/tex]

There are restrictions on the value of x.

A square root of a negative number is undefined.

The number in the square root has to be equal to 0 or be greater than 0.

[tex]4x+2\geq 0[/tex]

Subtract 2 from both sides.

[tex]4x\geq -2[/tex]

Divide both sides by 4.

[tex]\displaystyle x\geq -\frac{2}{4}[/tex]

[tex]\displaystyle x\geq -\frac{1}{2}[/tex]

What are the coordinates of the vertices of the polygon in the graph that are in Quadrant I? Question 7 options: A) (–3,–4) B) (1,1), (2,2), (2,5), (5,5) C) (2,–3), (3,–4), (5,–4) D) (–4,2), (–2,5)

Answers

Answer:

Answer B  (1,1), (2,2), (2,5), (5,5)

Step-by-step explanation:

Notice that although the image is not shown, of the given answers, the only points that have coordinates that belong to Quadrant I , are those that show oosittive number for both coordinates (for x and for y). That is  the only possible solution is:

answer B) : (1,1), (2,2), (2,5), (5,5)

-10 + 7x + 24 - 2x= what does it equals

Answers

Answer:

14+5x

Step-by-step explanation:

Combine like terms to get:

-10+5x+24=?

then add -10 to 24 to get 14 to get the new simplified equation

14+5x

Hope this helps!

Answer:

5x+14

Step-by-step explanation:

its all about combining like terms. add the -10 and the 24 together, and u get 14. then add the 7x and -2x, and that gives you 5x. and u cant go any further with that, so 5x+14 is your answer

Michael is 3 times as old as Brandon. 18 years ago, Michael was 9 times as old as Brandon
How old is Michael?

Answers

Michael is probably 9

Answer: 3b-18=9(b-18)

3b-18=9b-162

6b=144

b=24

3b=72

Brandon is 24, Michael is 72.

Step-by-step explanation:

PLEASE HELP!!!!!! what is the simplified expression to represent the area of the shaded region???

Answers

Answer: 29x+23

Step-by-step explanation:

In order to find the area of the shaded region, we need to subtract the unshaded region in middle from the large rectangle

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

Step 1. Find the area of the large rectangle

A=lw (length × width)

A=(2x+4)(3x+6)

A=6x²+12x+12x+24 ⇔ Use FOIL (First Outer Inner Later)

A=6x²+24x+24

--------

Step 2. Find the area of the unshaded region

A=lw

A=(2x-1)(3x-1)

A=6x²-2x-3x+1 ⇔ Use FOIL

A=6x²-5x+1

-------

Step 3. Subtract unshaded from the large rectangle to get the area of shaded region

A (shade region)=large rectangle-unshaded region

A (shade region)=(6x²+24x+24)-(6x²-5x+1)

A (shade region)=6x²+24x+24-6x²+5x-1 ⇔ get off parenthesis

A (shade region)=6x²-6x²+24x+5x+24-1 ⇔ move the like term together

A (shade region)=29x+23 ⇔ combine like term

Jasmine used the number line to find the distance between 0 and 5. What was Jasmine's error?
1 2 3 4 5
The distance is -5.
-2 -1
0 1 2 3
4
+
8
5
6
7
Jasmine should have counted from 5 to 0.
Jasmine started with the wrong integer.
Jasmine gave a negative answer for distance.
Jasmine ended with the wrong integer.
Done
Intro

Answers

Answer:

c

Step-by-step explanation:

thats the answerrrrrrrr

Answer:

c

Step-by-step explanation:

edg 2021

Solve 5h+2(11−h)=−5
.

Answers

Answer:

h =-9

Step-by-step explanation:

[tex]5h+2\left(11-h\right)=-5\\\mathrm{Expand\:}5h+2\left(11-h\right):\quad 3h+22\\\\3h+22=-5\\\\\mathrm{Subtract\:}22\mathrm{\:from\:both\:sides}\\\\3h+22-22=-5-22\\\\Simplify\\\\3h=-27\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3h}{3}=\frac{-27}{3}\\\\h=-9[/tex]

The value of h is -9.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

5h + 2 (11 - h) = - 5

Remove the parenthesis.

5h + 2 x 11 - 2h = -5

5h + 22 - 2h = -5

Subtract the like terms.

3h + 22 = -5

Subtract 22 on both sides.

3h = - 5 - 22

3h = -27

Divide both sides with 3.

h = -9

Thus,

The value of h is -9.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

If the statement is rewritten as a conditional statement in if-then form, which best describes the conclusion? A student who earns 85% earns a B. if a student earns 85% if a student earns a B then a student earns 85% then a student earns a B

Answers

Answer: The answer would be "then a student earns a B."

Step-by-step explanation: The statement is "A student who earns 85% earns a B." The hypothosis is "If a student earns 85%..." So then the conclusion would be "then a student earns a B."

Answer: then a student gets a b

Step-by-step explanation: no

Select the correct answer.

Answers

Answer:

tan C = 3/2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan C = 3/2

Answer:

C

Step-by-step explanation:

The only way we can get 3/2 as a trigonometric ratio is as

tan c = O/A = 3/2

The rest don't work because sin and cos, uses the hypotenuse. The hypotenuse is 3.61 which is not either of the numbers in the ratio.

Only 2 and 3 work which are not in the hypotenuse.

A square has the following vertices. Find the area of the square.


(−7, −5), (−4, −2), (−4, −8), (−1, −5)

6√ square units

18√ square units

6 square units

18 square units

Answers

Answer:

18 square units

Step-by-step explanation:

A square has the following vertices

(−7, −5), (−4, −2), (−4, −8), (−1, −5)

To determine if the are we look for the length of just one of it's sides, because it's a square,all of it's side are equal.

And the are is determined by squaring one of it's sides.

An attachment of the figure is given below to help us know the vertices to use to determine the length.

Length= √ ((-4-(-7))²+(-2-(-5))²)

Length= √((3)²+(3)²)

Length= √(9+9)

Length= √18

So area is the square of the length

Area= (√18)²

Area= 18 square unit

Answer:

D

Step-by-step explanation:

On a given day, a particular raccoon will eat the trash from one of three different houses. If he eats from the trash of a particular house, he has a 50% chance to eat from the same house the next day, and a 25% chance each to eat from one of the other two houses. What is the stochastic matrix for this scenario

Answers

Answer:

Step-by-step explanation:

On a given day , a particular raccoon will eat the trash from one of three different houses.

Let assume [tex]Y_n[/tex] be a random variable that illustrating  the house raccoon will eat on an unknown given nth day.

If he eats from the trash of a particular house, he has a 50% chance to eat from the same house the next day, and a 25% chance each to eat from one of the other two houses.

There are three states given in the above statement.

So, we can have state 1, state 2 and state 3

Assuming that:

state 1 = house 1

state 2 = house 2

state 3 = house 2

If he eats from the trash of a particular house,

For state 1 : he has a 50% chance to eat from the same house the next day

i.e state 1 = 0.50

and a 25% chance each to eat from one of the other two houses.

For state 2 and state 3: = 0.25

i.e state 2 = 0.25

state 3 = 0.25

NOW:

[tex]\mathtt{P[Y_{n+1 }= 0 \ | \ Y_n = 0] = 0.5}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 1 \ | \ Y_n = 0] = 0.25}[/tex]

[tex]\mathtt{P[Y_{n+2}= 2 \ | \ Y_n = 0] = 0.25}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 0 \ | \ Y_n = 1] = 0.25}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 1 \ | \ Y_n = 1] = 0.5}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 2 \ | \ Y_n = 1] = 0.25}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 0 \ | \ Y_n = 2] = 0.25}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 1 \ | \ Y_n = 2] = 0.25}[/tex]

[tex]\mathtt{P[Y_{n+1 }= 2 \ | \ Y_n = 2] = 0.5}[/tex]

The stochastic matrix for this scenario can be computed as:

                  0          1       2

[tex]P = \left\begin{array}{c}0\\1\\2\end{array}\right \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right][/tex]

[tex]\mathbf{ P =\left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right] }[/tex]

Answer two questions about Equations A and B:
A. 5x=20
B. X=4

1) How can we get Equation B from Equation A?

Choose 1 answer:
Multiply/divide both sides by the same non-zero constant

Multiply/divide both sides by the same variable expression

Add/subtract the same quantity to/from both sides

Add/subtract a quantity to/from only one side

Answers

Answer:

Multiply/divide both sides by the same non-zero constant

Step-by-step explanation:

5x = 20

Divide each side by 5

5x/5 = 20/5

x = 4

help me (WILL GIVE BRAINLIEST)

Answers

Answer:

9.

1/3 has have the same denominator as 9. making that 3/9. 3/9 plus 6/9 equals 9/9 which also equals 1. 6 plus 2 is 8, and 8 plus 1 is 9

Simplify the expression below:
3(2x - 5) - (4x + 1) +2(6 – 5x + 2x)
into the form AX + B
1. What is the value of A?
Do not include spaces, units, or commas in your response.
2. What is the value of B
Do not include spaces units, or commas in your response.

Answers

Answer:

The value of A is -4, and that of B is -10

Step-by-step explanation:

We must carry out the indicated multiplication (and removal of parentheses) according to Order of Operations rules:

6x - 15 - 4x - 1 + 6 - 10x + 4x

Grouping like terms together, we get:

6x - 4x - 10 x + 4x  -  15  -1 +    6

this, in turn, simplifies to:

-4x-10

The value of A is -4, and that of B is -10

If y = x + 5 and y = 11 then x =

Answers

Answer:

x=6

Step-by-step explanation:

If you put 11 into y, it is 11=x+5.  In order to find this, you have to subtract 11 by 5 which is 6.  So x=6

Hi there! :)

Answer:

[tex]\huge\boxed{x = 6}[/tex]

y = x + 5 and y = 11

Substitute in 11 for y:

(11) = x + 5

Subtract 5 from both sides:

11 - 5 = x

x = 6.

3a + 4b - 2a +3 - 7​

Answers

Answer:

a + 4b - 4

Step-by-step explanation:

Step 1: Write out expression

3a + 4b - 2a + 3 - 7

Step 2: Combine like terms (a)

a + 4b + 3 - 7

Step 3: Combine like terms (constants)

a + 4b - 4

Answer:

1a+4b-4

or

a+4b-4

Step-by-step explanation:

3a-2a= 1a or just a

4b=4b

-7+3= -4

1a+4b-4

or

a+4b-4

Before starting his job, Clayton had been on an airplane 3 times. Since then, he has flown 6 times each year.
Let y represent the number of years since Clayton started his job and f represent the total number of times he has flown.
Complete the equation that represents the relationship between y and f.
y f
1 9
2 15
3 21
4 27
f=
y+

Answers

Answer:

f = 6y + 3

Step-by-step explanation:

The equation to reflect this condition is:

f = 6y + 3

Where

3 - is constant, the initial number of flights6 - coefficient, number of flights per yeary- number of yearsf- total number of flights

At ∆ ABC, the exterior angle at C, measures 126 °. If the ∡B measures twice the ∡A. How long is ∡A?

Answers

Answer:

<A=42°

Step-by-step explanation:

If the exterior of angle C is 126, the interior is 54.

The sum of the other two angles must be 126. (Exterior Angle Theorem)

If B is twice A, we divide 126 into thirds. This is 42.

So A is 42, B is 84, and C is 54.

Answer:

42°

Step-by-step explanation:

An exterior angle is equal to the sum of the opposite interior angles.

A + B = 126

The measure of B is twice the measure of A.

B = 2A

Substitute:

A + 2A = 126

3A = 126

A = 42

Look at the figure shown below. A student made the table shown below to prove that PQ is equal to RQ 1. Provide the missing statement and justification in the proof. 2. Using complete sentences, explain why the proof would not work without the missing step.

Answers

Answer:

ΔSQR ≅ ΔTQP by ASA congruencetriangle congruence is needed before a claim based on that can be made

Step-by-step explanation:

1. The last step claims the lengths PQ and RQ are the same based on the congruence of triangles SQR and TQP. In order to make that claim, some step in the proof needs to claim that those triangles are congruent. That claim is the missing step:

  ΔSQR ≅ ΔTQP --- ASA congruence postulate

__

2. Without a claim of triangle congruence, the claim of triangle side congruence is unsupported. The proof must contain a claim that the triangles containing corresponding sides PQ and RQ are congruent.

From the top of a tree 30 m height a man is observing the base of a tower at an angle of depression measuring 30 degree. Find the
distance between the tower and the tree.

Answers

Answer:

Step-by-step explanation:

tan30=oposite/adjucent side

1/1.732=30/adjectent side

adjectent side=30*1.732

adjecent side=51.96m.

The mean lifetime of a tire is 4242 months with a variance of 4949. If 145145 tires are sampled, what is the probability that the mean of the sample would be greater than 42.842.8 months

Answers

The above question is not correctly written

Complete Question

The mean lifetime of a tire is 42 months with a variance of 49. If 145 tires are sampled, what is the probability that the mean of the sample would be greater than 42.8 months.

Answer:

0.083793

Step-by-step explanation:

We would be using the z score formula.

z score formula = z = (x - μ)/σ/√n

where

x is the raw score = 42.8

μ is the population mean = 42

σ is the population standard deviation =

In the above question, we were given variance = 49

Standard deviation = √Variance

= √49

= 7

n = number of samples = 145

z score = z = (x - μ)/σ/√n

= (42.8 - 42)/ (7/√145)

= 0.8/ 0.581318359

= 1.37618

Approximately to 2 decimal places= 1.38

Using the z score table to find the probability.

P(x ≤ 42.8) = P(z = 1.38) = 0.91621

P(x>42.8) = 1 - P(x<42.8)

1 - 0.91621

= 0.083793

Therefore, the probability that the mean of the sample would be greater than 42.8 is 0.083793

Which of the following is not equivalent to the product?
(3x-2)(27° +53-1)
A. 3x(2x2 + 5x - 1) - 2(2x + 5x - 1)
B. 6x2 - 10x - 1
C. 67° + 11x° - 13x +2
D. 2x2 (3x - 2) + 5x(3x - 2)- 1(3x - 2)

Answers

Answer:

Option is a

Step-by-step explanation:

By checking it by solving

Subtraction Problem
Unsimplified Difference
Simplified Difference
13
3
14
14
4
1
21
21
19
4
35
35
9
10
3
10

Answers

Answer:

13 3 14 14 4 1 21 21 19 4 35 35 9 10

Step-by-step explanation:

Why is it important to study the environment as a system?

Answers

Answer:

Step-by-step explanation:

Our environment is very important to us because it is where we live and share resources with other species. ... Environmental science enlightens us on how to conserve our environment in the face of increasing human population growth and anthropogenic activities that degrade natural resources and ecosystems. hope it help

how many ways can you arrange 10 people in a circle if two arrangements are considerded the same if each persons left and right neighbors are the same

Answers

Answer:

1814400 ways

Step-by-step explanation:

From the question, since it doesn't matter which seat you sit in as long as the neighbors either side of you still remain in the same order, thus;

Number of possible seat arrangements = 10! = 3628800

Now, we know that two seatings are the same when each person has the same two neighbors to the right or left. This simply means that it will be considered the same if the seats are placed around the circular table either clockwise or counter clockwise. With respect to this condition, we have to divide the number of possible seat arrangements by 2.

Thus;

Number of possible ways with the condition in the question = 3628800/2 = 1814400 ways

Other Questions
Sarah and Homer each have a cylinder. Sarah's cylinder has a diameter of 9 cm and a height of 4 cm. Homer's cylinder has a diameter of 4 cm and a height of 9 cm. Find the surface area of Sarah's cylinder, in square centimetres. Round your answer to two decimal places. answer fast plz its urgent What tools became available to Europeans that helped them explore the world? Select ALL that apply. amore accurate maps bthe astrolabe csteam-powered ships dthe magnetic compass taxes you pay to the federal government are: A.federal taxes B.import taxes C.state taxes D.export taxes (x+4) (x+10)simplify what is mid point theorem promissory note received from a customer in exchange for an account receivable is recorded by the payee as When making a decision, irrelevant items are included in the analysis of both alternatives when using ______. neither the differential nor total cost approach both the differential and total cost approaches What person made soldiers more loyal to him than even to Rome? The flywheel of an engine has moment of inertia 2.50 kg m2 about its rotation axis. What constant torque is required to bring it up to an angular speed of 400 rev/min in 8.00s, starting from rest? Write or use the word entity in a sentence. Which of the following numbers are perfect squares? Choose all that apply. A 27 D 108 B 36 E 121 C 81 F 169 "On June 12th, a customer buys 100 shares of DEF stock at $49 per share. On June 30th of the same year, the customer sells the stock at $39. On July 10th of the same year, the customer buys DEF stock at $42. The customer's cost basis in DEF stock is:" If the economy is normal, Matthews, Inc. stock is expected to return 14.3 percent. If the economy falls into a recession, the stock's return is projected at a negative 8.7 percent. The probability of a normal economy is 80 percent. What is the variance of the returns on this stock A pool is 34.0 m long and 31.0 m wide. How many mL of water are needed to fill the pool to an average depth of 4.98 ft? Enter your answer in scientific notation.____x10___mL determine the density in si unit of a solid of mass 40g with dimension 30cm by 4cm by 3cm A church spire casts a shadow on the level ground. At the tip of the shadow, the tip of the spire lies 25 upward. Walking 100 m closer, the tip of the spire is at an angle of 55. What must be the height of the spire in Figure 2? Janet wants to calculate the time it takes to earn a certain amount of interest on a principal amount in an investment with simple interest. What equation can she use? A 1.0-gram sample of solid iodine is placed in a tube and the tube is sealed after all of the air is removed. The tube and the solid iodine together weigh 27.0 grams. The tube is then heated until all of the iodine evaporates, filling the tube with iodine gas. After heating, the total mass will be: f(x) = 32^xh(x) = 2x - 7h(f(2)) = What is lim x 9+ ( x - 9/| 9 - x | )