The length of the base of an isosceles triangle is x. The length of a leg is 4x - 7. The perimeter of the triangle is 31. Find x.

Answers

Answer 1

Answer:

x= 5

Step-by-step explanation:

am isosceles triangle has 2 sides equal i.e the legs.


Related Questions

40. If f(x) = -3x + 7 and g(x) = -7x+3, what is the value of f(-3) - g(3)?

Answers

Answer:

34

Step-by-step explanation:

f(-3) = -3(-3) +7

f(-3) = 16

g(3) = -7(3) +3

g(3)= -18

16 -(-18) = 34

Answer:

34

Step-by-step explanation:

f(x) = -3x + 7

f(-3) = -3(-3) + 7

= 9 + 7 (two negatives make a positive)

= 16

g(x) = -7x + 3

g(3) = -7(3) + 3

= -21 + 3

= -18

16 - (-18)

16 + 18 (two negatives make a positive

= 34

Hope this helps!

Michael can swim 5 lengths of a swimming pool in 130 seconds.
Use this information to show that he could swim 100 lengths in under 45 minutes

Answers

Answer:

Yes, he can swim 100 lengths in under 45 minutes.

Step-by-step explanation:

First we divide 100 by 5

100 ÷ 5 = 20

Now we can multiply this by 130 seconds

Now we have 2600 seconds

Since 1 minute is 60 seconds we divide 2600 by 60 seconds

2600 ÷ 60, this gets us 43.33... minutes, which is less than 45 minutes.

This is all assuming his rate is constant.

Micheal takes 43.333 minutes to swim 100 lengths.

What is length?

Length is a measurement or extent of something from one end to another end.

The SI unit of length is meter.

Given that,

To cover 5 lengths, time taken by Micheal =  130 seconds,

Therefore,

Time taken by Micheal to cover 1 length = 130/5 = 26 seconds

Time to cover 100 length = 26×100=2600 seconds

1 minute = 60 seconds

100 length is covered = 2600×1/60 minute

                                    = 43.333 minute

So, To swim 100 lengths Micheal takes 43.333 minutes, which is under 45 minutes.

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Solve for x. Round to the nearest tenth, if necessary. S 210 X 5.5​

Answers

Answer:

1155.0

Step-by-step explanation:

cuanto es "y=2x + 5" ??

Answers

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(2*x+5)=0

STEP1:

Equation of a Straight Line

1.1 Solve y-2x-5 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-2x-5 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

y-intercept = 5/1 = 5.00000

Calculate the X-Intercept :

When y = 0 the value of x is 5/-2 Our line therefore "cuts" the x axis at x=-2.50000

x-intercept = 5/-2 = -2.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 9.000 - 5.000 = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 4.000/2.000 = 2.000

Geometric figure: Straight Line

Slope = 4.000/2.000 = 2.000 x-intercept = 5/-2 = -2.50000 y-intercept = 5/1 = 5.00000

18 is 120 percent of what number​

Answers

Answer:

18 is 120 percent of 15

Step-by-step explanation:

100/120 = 15

15/100, which means that 18/120 as a percentage is 15%.

hope this helps :)

4y-10+3.14=180
value of y

Answers

Answer:

The value of y is 46.715

Step-by-step explanation:

4y-10+3.14 = 180

4y = 180 + 10 - 3.14

4y = 186.86

4y ÷ 4 = 186.86 ÷ 4

y = 46.715

Write the given equation of a line that passes through the given point (-2,-1) and (0,-5)

Answers

Step-by-step explanation:

2x+y+5=0 is the required equation of the line

what is the degree measure of the missing angle? 84 34 114 24​

Answers

Answer:

24°

Step-by-step explanation:

We are given that m∠EFG is a right angle, and that m∠EFH = 66°

m∠EFH + m∠HFG = m∠EFG

Substitute values and solve.

66 + m∠HFG = 90

m∠HFG = 24°

How do i find the slope-intercept form for 6x=8y+10

Answers

Answer:

y = 3/4x - 5/4

Step-by-step explanation:

6x=8y+10

Well you must first get your equation set up into the form called "Slope intercept."

6x=8y+10

Add 8y on both of your sides because your y is suppose to be alone.

8y + 6x = 10

Subtract 6x on both sides since it is in fact the opposite of addition.

8y = 6x + 10

Now, you will divide by 8 on both sides. When doing this your y will be alone.

y= 6/8x + 10/8

Note: You can leave it like this but you want to probably simplify.

y = 3/4x + 5/2

      or

y = 3/4x - 5/4

(Hope this helps can I pls have brainlist (crown)☺️)

I need help..............

Answers

Answer: Choice D

Explanation:

The commutative property of addition is A+B = B+A. We can add two numbers in any order. For example: 2+3 = 3+2 since both sides result in 5.

The idea applies to fractions as well. In choice D, the fractions 3/5 and 2/3 swap places so that we can group the 1/3 and 2/3. From there, the 1/3 and 2/3 combine to 1 and that's how we end up with the mixed number 1 & 3/5.

write a recursive formula for this sequence

2.3, 2.8, 3.3, 3.8, ...

Answers

Answer: 2.3

Step-by-step explanation: 3.8-3.3 =3.3-2.8=2.8-2.3=0.5 (common difference)of arithmetic sequence

a recursive formula for the sequence is : An+1=An +0.5

Find the 75th term of the arithmetic sequence -21, -10, 1

Answers

Answer:

793

Step-by-step explanation:

Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.

So, -10--21=11 and also 1--10=11

so common difference is 11

now we will use the formula Asubn=Asub1+d(n-1)

D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1

Anyways, Asub75=-21+11(75-1)=793

(y=x-4
(y=-2x+5 ................................................................

Answers

I don’t know the answer

Answer:

y= -1, x=3

Step-by-step explanation:

2x+y=5

x-y =4

x= 4+y

Sub 1 into 3

2( 4+y ) 4y =5

8+2y +y =5

8+3y =5

3y =5-8

3y =-3

y=-3÷3

y = -1 #

Sub y = -1 into 3 equation

x=4+(-1)

x=3 #

What is the value of y? y = 40 y = 80 y = 100 y = 120.

Answers

Answer:

I think it is 80. But I am also not sure because this question is not briefly described.

Answer:

80

Step-by-step explanation:

got it right on edge

What is the quotient of 4/5 divided by 1/3?
:

Answers

Answer:

2.4

Step-by-step explanation:

4/5 / 1/3

4/5 x 3/1

4/5x3/x1 = 12/5

22/5

12/5 = 2.4

Write an equation representing how much Tristan paid.

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Answers

Answer:

These are the equations

Step-by-step explanation:

Gwen's equation =   x + 10y = 30

Tristan's equation=  x + 15y = 40

Keith's equation =  x + 10y = 30

evalute ½(7-3)-(4-10)​

Answers

Answer:

8

Step-by-step explanation:

1/2(4)-(-6)                  BODMAS method

2-(-6)

2+6

8

answer is 8, use the pemdas method

solve for k 5k-2=2k+4

Answers

Answer:

k = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5k - 2 = 2k + 4

Step 2: Solve for k

[Subtraction Property of Equality] Subtract 2k on both sides:                      3k - 2 = 4[Addition Property of Equality] Add 2 on both sides:                                    3k = 6[Division Property of Equality] Divide 3 on both sides:                                  k = 2

Answer:

k=2

Step-by-step explanation:

5k-2=2k+4

add 2 to both sides

5k=2k+6

subtract 2k to both sides

3k=6

divide both 3k and 6 by 3 to get k by itself

k=2

Find the coordinates of point X if the midpoint of XY is (3,-5) and the coordinates of point
Y is (7,1)

Answers

Answer:

(7, -1) maybe...

a polygon has a interior angle 172
find the number of sides of this polygon

Answers

Answer:

45 sides

Step-by-step explanation:

exterior angle + interior angle = 180° , that is

exterior angle + 172° = 180° ( subtract 172° from both sides )

exterior angle = 8°

The sum of the exterior angles of a polygon = 360°

To find the number of sides n , divide 360° by 8°

n = 360° ÷ 8° = 45

Answer:

45 sides

Step-by-step explanation:

If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides

Which of the following equations is steeper?
y=-2x+1
y=-5/4x+7
y=x-1
y=5x-1

Answers

Answer:

Option 4: y = 5x - 1

Step-by-step explanation:

The slope, or rate of change, represents the ratio of the vertical change (in y) to the horizontal change (in x) of points along the line. Thus, the slope is a means of measuring the steepness of a given line.

Generally speaking, slopes with higher values tend to have steeper lines.

Compare the slopes:

In comparing the slopes of the given options:

Option 1: slope = -2

Option 2: [tex]\LARGE\mathsf{slope = -\frac {5}{4}}[/tex] or 1.25

Option 3: slope = 1

Option 4: slope = 5

 

Option 4 has the highest slope of 5. Therefore, the graph of y = 5x - 1 has the steepest line.  

Attached is the graphed equations to prove that the graph of the equation in Option 4 has the steepest line.    

Substance A has 2% alcohol mixture, and substance B has 6% alcohol mixture. To mix substance A and B for a capacity of 60 liters with 3.2% alcohol mixture, how many liters of substance A and B are used each?

Answers

Answer:

18 liters of 6% substance B

42 liters of 2% substance A

Step-by-step explanation:

let x be the liters of 6%, the balance of 60 - x liters is the 2% together they make 60 liters of 3.2%

6x + 2(60 - x) = 3.2(60)

distribute

6x + 120 - 2x = 192

Combine like terms

4x = 72

Divide bothsides by 4

x = 18 liters of 6%

60 - x = 42 liters of 2%

how can i Find the volume of the following cylinder that the Radius of 1 cm Height of 8 cm

Answers

Answer:

Okay first you need to use the formula: V=[tex]\pi r^{2} *h[/tex]

All you need to do is plug in those numbers.

Like this: V= [tex]\pi *1^{2}*8[/tex]

which is = 25.13 [tex]cm^{3}[/tex]

Ta-da!! lol. Have a great day!

Select the correct answer. The probability that Ashley drives faster than the speed limit (event A) is 0. 34, and the probability that he gets a speeding ticket (event B) is 0. 22. The probability that he drives faster than the speed limit, given that he has gotten a speeding ticket, is 1. Are events A and B dependent or independent? A. Dependent B. Independent C. Insufficient data D. Depends on the other events in the sample space.

Answers

Answer:

Depends on other factors, although I'm not certain, so to speak.

Step-by-step explanation:

We don't know the probability of Ashley getting a speeding ticket when he is not speeding.  [It happens].

Otherwise, event B is dependent on event A.  Speeding must occur to initiate event B.

Noah’s recipe for one batch of sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water. If someone uses 400 liters of orange juice, how much soda water would they need? And how many batches would that make?

Answers

Answer:

They would need 500 liters of soda water and this would make 100 batches of the sparkling orange juice.

Step-by-step explanation:

hope this helps. . . <3

good luck!    uωu

Answer:

500 soda water, 100 batches, just a guess so sorry if im wrong

Step-by-step explanation:

How do you solve this and find x?

Answers

Answer:

fraction form

x= 2 + ln(30)/ln(7)

decimal form

x= 3.74786969

Step-by-step explanation:

What I like to call the logarithmic equation solver.

Bring it down turn it around.

First bring down the 7 to a ㏒7 and the x-2 so that ㏒7(x-2)=30

Then change the constants from on another so then it would look like

㏒7(30)=x-2

solve for x

to solve do the log base finder equation ㏒(30)/ln(7)

and add 2

X is 3.748

To accomplish this task you have to take the logarithm of both sides of the equation to remove the variable from the exponent.

ln(30)/ln(7)+2

ln(30)=3.401

ln(7)=1.946

3.401/1.946=1.7476

1.7476+2=3.748 after considering all extra decimal places to the closest thousandth.

Candace is considering trying the Spice Tea. What is the greatest number of 1-pound bags of Dark Roast coffee she can buy with
$52, if she also buys 0.5 pound of the Spice Tea and 2 pounds of the Morning Blend coffee?

Answers

Answer:

Step-by-step explanation:

69

Arrange the following in ascending order b) 3.14, 31.4, 0.314, 3 2/4, 3.141
c) 2.0867, 0.28677, 28.067, 0.2867, 2.867

Answers

Step-by-step explanation:

b) 3.14, 31.4, 0.314, 3 2/4, 3.141

3.14, 31.4, 0.314, 3.5, 3.141

0.314, 3.14, 3.141, 3.5, 31.4

PLEASE MARK ME AS BRAINLIST

Find the value of x in each case

Answers

Answer:

Step-by-step explanation:

∠AEB + ∠FEC = 180   {linear pair}

∠AEB = 180 - 4x

DE // AB , AE is transversal,

∠EAB = ∠DEA   {Alternate interior angles}

∠EAB = 2x

∠EBC = ∠AEB + ∠EAB  {Exterior angle property}

    6x  =  180 - 4x + 2x

    6x = 180 - 2x

Add 2x to both sides

6x + 2x = 180

8x = 180

x = 180/8

x = 22.5

A lifetime subscription to a website cost $250. A monthly subscription to the website cost $10 to join and $15 per month, write an equation in slope-intercept form to represent the cost of each plan

Answers

Answer:

250=15x+10

Step-by-step explanation:

250=y

10=b

15 is how much you are paying consantly

The equation in slope-intercept form to represent the cost of each plan is 250=15x+10.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that, a $ 250 lifetime online membership was required. The website's membership costs $10 to enroll and $15 each month.

If x is the number of months, the equation in slope-intercept form to represent the cost of each plan is,

y=mx+c

250=15x+10

Thus, the equation in slope-intercept form to represent the cost of each plan is 250=15x+10.

Learn more about the straight line here:

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City planners are planning to build a new community pool. They agree that the pool will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the width would remain at 11.6 meters but that the length would increase by 3.7 meters. So, the pool would now cover an area of 205.85 square meters.Which equation can be used to determine the original length of the pool, l?205.85=2(l+15.3)205.85=11.6(l+3.7)205.85=3.7(l+11.6) Read the sentence. As the contractor looked at the dilapidated structure that stood on the empty lot, he noticed the cracks and holes in the roof and realized he had a great deal of work to do. Which word is closest in meaning to the underlined word? enormous untouched polluted rundown. Choose the word pair that correctlycompletes this antonym analogy.austere : decorative ::A. sedate : animatedB. monumental : enormousC. promotional : encouragingNo links plzz Examine the linear relationships.Linear equation A: y=45xLinear equation B is represented by this graph.A line that passes through points (0, 2) and (5, 4). 2017 StrongMind. Created using GeoGebra.Which statement is entirely correct?Equation A has a steeper slope, because 45 is greater than 25.Equation A has a steeper slope, because 4 fifths is greater thanEquation B has a steeper slope, because 45 is greater than 25.Equation B has a steeper slope, because 4 fifths is greater thanEquation A has a steeper slope, because 52 is greater than 45.Equation A has a steeper slope, because 5 halves is greater thanEquation B has a steeper slope, because 52 is greater than 45. Bidula has to buy some cups of tea at the rate of Rs. 10 and 3 packets of biscuits at the rate of Rs. 45 .How many maximum cups of tea can she buy with Rs. 332? Write an equation for the line that goes through (-2,6) and is parallel to the line y=1/2x+9 Circle the nouns in each sentence below.The dry season has set in, and there is dust in the air and wispy clouds high above. The answer please its from khan academy Everyone at his work claims that John is the most persistent person they know; to an I/O psychologist what does persistence of behavior refer to 14 blue cars out of 70 cars please help, will mark brainliest for correct answer!! 1.) A desk at Target sales for $150.00. Sales tax is 8.5%. What is the total costthe desk including sales tax? (1 pt)Answer Can you please help me fill in the rest of the missing facts for my assignment? how many of the 44 us presidents have been veterans? please help me ! dont use this for points, or send any gross links. if you actually KNOW the answer, please do comment / help me! this is: KS3 YEAR 8 ! Why do you think that an engineer should act professionally and ethically and exercise judgment, and take responsibility within his/her own limits of competence? Translate the following word phrase into an algebraic expression: Nine times a number y. 2315 x 584 / 591 x 841 pls pls pls helpe with this:(((((( A 1,000 kg truck is traveling at 3 m/s. Suddenly, the driver sees a herd of cows on the road ahead and applies the brakes. The truck's tires could fail after doing 5,000 J of work to slow the vehicle. Can the truck stop before the tires fail?A. Yes, the total KE the tires need to transfer out of the system is less than 5,000 J.B. Yes, the tires do not do any work, it is only the brakes that do work.C. No, the truck had to stop suddenly and the quick change in KE will cause the tires to fail.D. No, the total KE the tires need to transfer out of the system is more than 5,000 J.