Really struggling with this one. Can someone help please?​

Really Struggling With This One. Can Someone Help Please?

Answers

Answer 1

Answer:

12

Step-by-step explanation:

M is in the middle between S and T we know 2x+6 has to be the same as 3x+3 if 3x is one more x then 2x then we do 6-3 that eqauls 3 so X=3 and 2*3=6 and 6+6= 12.

Answer 2

Hey there! :D

Answer:

[tex]\huge\boxed{SM = 12}[/tex]

SM = 2x + 6

MT = 3x + 3

M is the midpoint of SM

Write an expression to represent the length of ST:

ST = SM + MT

ST = 2x + 6 + 3x + 3

Combine like terms:

ST = 5x + 9

Since ST = 2(SM), set up another equation:

5x + 9 = 2(2x + 6)

5x + 9 = 4x + 12

Isolate the "x" variable:

5x - 4x = 12 - 9

x = 3.

Substitute in this value of "x" into the equation for SM:

2(3) + 6 = 12.


Related Questions

A package of 3 pairs of insulated gloves cost $15.87. What is the unit price of pairs of gloves?

Answers

Answer:

The correct answer is $5,29

Step-by-step explanation:

The unit price helps us determine the price for a single unit of something that has been purchased in a group.

In this case we have a package of 5 pairs of insulated gloves, which includes 5 pairs and costs 29.45.

We want to know what the unit price is, that is, how much does a single pair of gloves cost.

To determine this we simply divide the total price by the number of gloves:

29.45 / 5 = 5.29

In this way we can confirm that the unit price of a pair of insulated gloves is $ 5.29.

Answer:

Each pair of gloves is $5.29

Step-by-step explanation:

Find The Cube Root Of The Following: 1. 42875 2. 74088 3. 274625

Answers

Answer:

1 is 35 and 2 is 42 and 3 i think is 65

Step-by-step explanation:

Answer:

1. 42875 cube root is expresed as [tex]\sqrt[3]{42875}[/tex] = 35

2. 74088 cube root is expresed as [tex]\sqrt[3]{74088}[/tex] = 42

3. 274625cube root is expresed as [tex]\sqrt[3]{274625}[/tex] = 65

A cyclist rides 250 meters in 1 minute. Find the speed in km/hr.​

Answers

Answer:

250 meters/min = 15 km/hr

Step-by-step explanation:

The approximate number to divide from is 16.667. Divide the speed value by 16.667

Jaylon has a wrench labeled 0.1875 inch and bolts
labeled in fractions of an inch. Which size bolt will
best fit the wrench? Explain.

Answers

Answer: 3/16

Step-by-step explanation:

- you divide 3/16 which gets you to the answer of 0.1875

A fraction is a way to describe a part of a whole. The size of the bolt that will best fit in the wrench is 3/16 inches.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Jaylon has a wrench labeled 0.1875 inch and bolts labeled in fractions of an inch.

Now, the size of the bolt that will best fit in the wrench will be the bolt of size same as the wrench. Therefore, if we rewrite the size of the wrench it will be,

Size of the bolt = Size of the wrench

                         = 0.1875 inches

                         = 1875/10000 inches

Divide both the numerator and the denominator by 625

                         = 3/16 inches

Hence, the size of the bolt that will best fit in the wrench is 3/16 inches.

Learn more about Fraction here:

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If a classroom has 7 students with black hair and there are 24 students in the
class, what percentage of the students have black hair? (Round your answer to
the nearest tenth of a percent)

Answers

Answer:

  29.2%

Step-by-step explanation:

The fraction of students with black hair is 7/24. To convert that to a percentage, multiply by 100%.

 7/24×100% = 29.1666(repeating)% ≈ 29.2%

please someone help me to prove this. ​

Answers

Step-by-step explanation:

8 cos 80° cos 140° cos 160°

4 (2 cos 80° cos 140°) cos 160°

4 cos 160° (2 cos 80° cos 140°)

Use product to sum formula.

4 cos 160° (cos 60° + cos 220°)

4 cos 160° (½ + cos 220°)

2 cos 160° + 4 cos 220° cos 160°

2 cos 160° + 2 (2 cos 220° cos 160°)

Use product to sum formula again.

2 cos 160° + 2 (cos 60° + cos 380°)

2 cos 160° + 2 (½ + cos 380°)

2 cos 160° + 1 + 2 cos 380°

2 cos 160° + 1 + 2 cos 20°

Use shift identity cos(180 − θ) = -cos θ.

-2 cos 20° + 1 + 2 cos 20°

1

Our question that we have at hand here is 8(cos 80°)(cos 140°)(cos 160°). We need to convert that into 'decimal form' to prove that it equals 1. However decimal form doesn't generally give us a decimal, in this case.

Let's start by using the identity cos(s)cos(t) = cos(s + t) + cos(s - t) / 2. In this case we are looking particularly at the expression (cos 80°)(cos 140°), where s = 80, and t = 140.

[tex]\cos \left(80^{\circ \:}\right)\cos \left(140^{\circ \:}\right)=\frac{\cos \left(80^{\circ \:}+140^{\circ \:}\right)+\cos \left(80^{\circ \:}-140^{\circ \:}\right)}{2}[/tex]

[tex]=8\cdot \frac{\cos \left(80^{\circ \:}+140^{\circ \:}\right)+\cos \left(80^{\circ \:}-140^{\circ \:}\right)}{2}\cos \left(160^{\circ \:}\right)[/tex]

[tex]= 4\cos \left(160^{\circ \:}\right)\left(\cos \left(220^{\circ \:}\right)+\cos \left(-60^{\circ \:}\right)\right)[/tex]

To further simplify this expression, we know that cos(- 60°) = cos(60°). This may not seem like a very effective step, but we can apply a few trivial identities here. Remember that cos(60°) = 1 / 2,

[tex]4\cos \left(160^{\circ \:}\right)\left(\cos \left(220^{\circ \:}\right)+\frac{1}{2}\right)[/tex]

[tex]= 4(0.25)\\= 1[/tex]

And hence we proved that 8(cos 80°)(cos 140°)(cos 160°) in decimal form, = 1.

22.34÷3 please help​

Answers

Respuesta es 7.4466666667

The asnwer is 7.4466666667

Answer:

7.45 is the answer if u round it up it equals to this

Q is between P and R. PR=145,PQ=8x & QR=11x-7. What is the value of QR?

Answers

Answer:

QR = 81

Step-by-step explanation:

PR = 145

= PQ + QR

= (8x) + (11x - 7)

8x + 11x - 7 = 145

19x = 145 + 7

19x = 152

x = 8

substitute x=8 into QR:

11(8) - 7 = 81

A store in Wildgrove purchased an antique pull toy at a cost of $890 and marked it up 200%. Later on, Jeffrey bought the antique pull toy. If the sales tax in Wildgrove is 10%, how much did he pay in all?

Answers

Answer: Jeffery paid $ 2937 in all.

Step-by-step explanation:

Given: The cost of antique pull = $890

Mark up percentage = 200%

New price = (cost) + (Mark up percentage) x (cost)

[tex]=\$( 890+\dfrac{200}{100}\times890)\\\\=\$( 890+2(890))\\\\=\$2670[/tex]

After a tax of 10% , the amount needs to be paid = New price + 10% of New price

 [tex]=\$(2670+\dfrac{10}{100}\times2670)=\$(2670+267)\\\\=\$2937[/tex]

Hence, Jeffery paid $ 2937 in all.

Marco has $75 to spend on new clothes for a job interview. He buys a shirt for $18.28, pants for $42.39, and a tie for $12.97. How much money will Marco have left after he buys these clothes?

Answers

Answer:

$1.36

Step-by-step explanation:

First, add together the prices of all the clothes:

18.28 + 42.39 + 12.97

= 73.64

Then, subtract this from 75:

75 - 73.64

= 1.36

So, he will have $1.36 left after buying the clothes

The money Marco have left after he buys his clothes is $1.36.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Marco has $75 to spend on new clothes for a job interview.

Let the money left after he purchase his clothes be x.

Cost of shirt=$18.28, cost of pants=$42.39 and cost of tie =$12.97

Now, x=75-(18.28+42.39+12.97)

x= 75-73.64

x= $1.36

Therefore, the money Marco have left after he buys his clothes is $1.36.

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Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)​

Answers

Answer:

(-9, 10)

Step-by-step explanation:

The location of the midpoint of a line with endpoint at ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) is given as (x, y). The location of x and y are:

[tex]x = \frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}[/tex]

Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:

[tex]0=\frac{9+x_2}{2}\\ \\9+x_2=0\\\\x_2=-9\\\\Also,9=\frac{8+y_2}{2}\\ \\8+y_2=18\\\\y_2=18-8\\\\y_2=10[/tex]

Hence the endpoint is at (x2, y2) which is at (-9, 10)

Is y= x/2 + 6 linear or nonlinear

Answers

Answer:

It is linear

Step-by-step explanation:

Its linear because y=x/2 + 6 is equal to y = 1/2x+6 which is a linear function

multiply:

(-4 + i)(-1 + 5i)

Answers

Answer:

[tex]( - 4 + i) ( - 1 + 5i) \\ = 4 - 20i - 1i + 5 {i}^{2} \\ = 4 - ( -21i )+ 5i {}^{2} [/tex]

PLEASE HELP!! IM HAVING A HARD TIME UNDERSTANDING THIS QUESTION.

Given the values of exponential function g below, what is g(3)?
g(0) = 60.4
g(1) = 30.2
g(2) = 15.1
O A.
3.775
OB. 7.55
OC.
8.0
D.
14.6

Answers

Answer:

14.6

Step-by-step explanation:

Write an expression for the quotient of b divided by the difference of two minus three.

Answers

Answer:

b/(2-3)

Step-by-step explanation:

The expression for the quotient of b divided by the difference of two minus three is q = b / (2 - 3) and can be simplified as q = -b.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The quotient of b divided by the difference of two minus three,

The expression for the above statement can be written as,

Assume the quotient is q then,

q = b / (2 - 3)

The denominator can be simplified as,

q = b / (-1)

q = -b

To know more about the expression:

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If 1/4 in. represents 1 ft. what distances are represented by lines of the following lengths: 2 in., 5 in., 1 1/2 in., 2 2/3 in., 4 7/8 in.?

Answers

Answer:

Step-by-step explanation:

Make q clear

Answer:

2 > 8

5 > 20

1.5 > 6

2 2/3 > 10.667

4 7/8 > 19.5

Step-by-step explanation:

(Use cross multiplication or algebra to solve)

find the distance between the 2 points on the graph.
HELPPPP

Answers

Answer:

6^2 + 3^2 = sqrt 45

the answer is the sqrt of 45

Step-by-step explanation:

Answer:

[tex] 3\sqrt{5} [/tex]

Step-by-step explanation:

Use the distance formula and the coordinates of the points.

The upper left point is (-5, 3).

The lower right point is (-2, -3)

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(-2 - (-5))^2 + (-3 -3)^2} [/tex]

[tex] d = \sqrt{3^2 + (-6)^2} [/tex]

[tex] d = \sqrt{9 + 36} [/tex]

[tex] d = \sqrt{45} [/tex]

[tex] d = \sqrt{9 \times 5} [/tex]

[tex] d = 3\sqrt{5} [/tex]

Which equation represents a line that is parallel to Y equals negative 4X +3 and passes through the point (-3,2)

The picture is the answers.
Please help

Answers

Answer:

Hey there!

A line parallel to y=-4x+3 would have a slope of -4.

Point slope form: y-2=-4(x+3)

Simplify: y=-4x-10

Let me know if this helps :)

Answer:

A

Step-by-step explanation:

So we want an equation that is parallel to:

[tex]y=-4x+3[/tex]

And passes through:

[tex](-3,2)[/tex]

First, since we want the equation to be parallel to the first, the slope must be -4. This is because parallel lines have the same slope.

Now that we know the slope of our equation is -4, we can use the point-slope form to figure out the rest.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

m is -4. Let (-3,2) be x₁ and y₁. Thus:

[tex]y-2=-4(x--3)[/tex]

Simplify:

[tex]y-2=-4(x+3)[/tex]

Distribute:

[tex]y-2=-4x-12[/tex]

Add 2 to both sides:

[tex]y=-4x-10[/tex]

So our answer is A :)

3 ( 2x + 5 ) = 19 + 16

Answers

Answer:

x=10/3 or x=3 1/3

(Same thing)

Step-by-step explanation:

First, we distribute the 3 to 2x and 5:

6x+15=19+16

6x=20

x=20/6

x=10/3

x=3 1/3

The sum of the angle measures of a triangle is 180°. Two angles of a triangle measure 40°and 60°, so Juan concludes that the third angle measures 80°. What do you notice about the how the conclusions were made from the statement above?

Answers

Answer:

Step-by-step explanation:

Third angle = 180 - (40 + 60)

                   = 180 - 100

                   =  80°

When you subtract the sum of 40 and 60 from 180, you will get the third angle.

Please help me solve this geometry proof problem with detailed steps!

Answers

Step-by-step explanation:

in triangle pqr and trs

statement reason

1. pr=rt ( s ) 1. given

2. angle prq = angle srt (a) 2. vertically opposite angle

3. rq = sr ( s ) 3 .given

4 triangle pqr ~= triangle trs 4. by SAS axiom/fact

5. pq = st 5. from statement 4

6. pq\\st 6. from statement 5

proved

14. Simplify 4+ (-3) - 2 x (-6)
O A. 13
O B. 12
C.-11
O D. -10

Answers

Answer:

13

Step-by-step explanation:

1-2×(-6)=

1-(-12)=

1+12=13

Luis deposited $300 into his bank account. He now has $4,511. Enter and solve an equation to find how much was in his account before the deposit. Let a represent the variable.

Answers

4,511 - 300 = 4,211 $ was originally in his bank account

-42=4v-18 Solve each equation

Answers

Answer:

v=6

Step-by-step explanation:

-42=4v-18

Add 18 to each side

-42+18=4v-18+18

-24 = 4v

divide each side by 4

-24/4 = 4v/4

-6 = v

Answer:

v = -6

Step-by-step explanation:

Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 18 to both sides:

-42 (+18) = 4v - 18 (+18)

-42 + 18 = 4v

4v = 18 - 42

4v = -24

Next, divide 4 from both sides:

(4v)/4 = (-24)/4

v = -24/4

v = -6

v = -6 is your answer.

~

Please crate and answer your own rate or ratio word problem :-) help plz

Answers

Answer:

I went on a train trip and traveled 250 miles in 2 hours.

What is the train's rate of speed in miles per hour?

Answer: divide the number of miles by the time in hours.

rate of speed = (250 miles)/(2 hours) = 125 miles per hour

A new Sports complex is being built in Madison . The perimeter of the rectangular playing field is 466 yards. The length of the field is 3 yards less than triple the width. What are the dimensions of the playing​ field?

Answers

Answer:

w = 57.5 yards

l = 169.5 yards

Step-by-step explanation:

P = 2w + 2l

466 = 2w + 2l

l = 3w - 3

466 = 2w + 2(3w - 3)

466 = 2w + 6w - 6

466 - 6 = 8w

8w = 460

w = 460 : 8

w = 57.5 yards

l = 3w - 3

= 3×57.5 - 3

= 169.5

l = 169.5 yards

what is the image of (-2, 3) after a rotation of a 180° counterclockwise?​

Answers

Answer:

-3,2

Step-by-step explanation:

just flip the minus and plus

Answer:

-3,2

Step-by-step explanation:

you just rotate it 180 degrees on counterclockwise and it land on area 4

A=1/2(a+b)h, solve for h?​

Answers

Multiply both sides 2
2A=(A+B)H
Divide both sides by (A+B)
H=2A/(A+B)

Answer:

[tex]\huge \boxed{h=\frac{2A}{a+b} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle A=\frac{1}{2} \cdot (a+b) \cdot h[/tex]

Multiplying both sides by 2:

[tex]2A=(a+b) \cdot h[/tex]

Dividing both sides by (a + b):

[tex]\displaystyle \frac{2A}{a+b} =h[/tex]

[tex]\rule[225]{225}{2}[/tex]

For his long distance phone service, Ali pays a 7 monthly fee plus 7 cents per minute. Last month, Ali's long distance bill was 19.53 . For how many minutes was Ali billed?

Answers

Answer:

179 minutes

Step-by-step explanation:

From the information given, you know that the total cost of the long distance service is equal to 7 plus the result of multiplying 0.7 for the number of minutes:

Total cost=7+0.07x, where x is the amount of minutes.

Now, you can replace the total cost with 19.53 that is the amount Ali was billed and solve for x:

19.53=7+0.07x

19.53-7=0.07x

12.53=0.07x

x=12.53/0.07

x=179

According to this, the answer is that Ali was billed for 179 minutes.

Evan's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 9 caffeinated teas and 6 decaffeinated teas. What percentage of the teas served were caffeinated?

Answers

Answer:

Step-by-step explanation:

9 + 6 = 15caffeinated/all types of teas = x/100 = [tex]\frac{9}{15} = \frac{x}{100}[/tex]  Cross multiply and divide to find the percentage: 9 × 100 = 900,         900 ÷ 15 = 60Put 60 as the numerator: 60/100Convert to percentage: 60%

You're done!

If you wanted to find the percentage of the decaffeinated teas, just subtract 60% from 100%, and you get 40%.

Answer:

60%

Step-by-step explanation:

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