Mathematics Middle School

Which number makes this sentence true?
21:30=x:50

A. X=30
B. X=32
C. X=35
D. X=41

Answers

Answer 1
the answer is a) x=30

Related Questions

How to factor quadratic expressions in General

Answers

3x^2 - 4x  - 7 = (3x - 7)(x +1)

hope it helps

Final answer:

To factor quadratic expressions in general, we can use the AC Method, which involves breaking down the middle term and finding two numbers that multiply to give a certain product and add up to the coefficient of the middle term.

Explanation:

To factor quadratic expressions in general, we can use the method known as the AC Method. This method involves breaking down the middle term of the quadratic expression and finding two numbers that multiply to give a certain product (the product of the coefficient of the leading term and the constant term) and add up to the coefficient of the middle term. Once we find these two numbers, we can rewrite the quadratic expression as a product of two binomials.

For example, let's say we have the quadratic expression [tex]2x^2[/tex] + 5x + 3. The product of the leading coefficient (2) and the constant term (3) is 6. We need to find two numbers that multiply to 6 and add up to the coefficient of the middle term (5). The numbers 3 and 2 fit this criteria. Therefore, we can rewrite the quadratic expression as (2x + 3)(x + 1).

Note that if the quadratic expression cannot be factored using this method, it is considered a prime polynomial and cannot be factored further.

The sum of two numbers is 72. The greater number is 8 more than the smaller number. Which equation can be used to solve for the smaller number? x − (x + 8) = 72 x + (x + 8) = 72 x(x + 8) = 72 x(x − 8) = 72

Answers

let x is the smaller number
bigger number is x + 8

The sum of two numbers is 72
so
 x + (x+8) = 72

answer
x + (x + 8) = 72
x + y = 72
y = x + 8......y is the greater number

x + (x + 8) = 72 <==

Which step comes last when using the divide-center method to find the trend line on a scatterplot?

A Approximate the center of the cluster located on the left side of the line, and repeat for the right side of the line.

B Connect the two centers to produce the trend line.

C Disregard all outliers.

D Draw a vertical line so that each side has the same number of data points.

Answers

After you have the dots plotted, there are three steps to find the trend line on a scatter plot:
The first one is Draw a vertical line so that each side has the same number of data points.
The second one is mark with a special sign, the middle value in each of the two sets obtained in the previous step.
The third one is join the two marks mentioned in the point with a straight line, and extend it to the edges of the graph. This line called the trend line and this is the last step.
So the answer is letter B.

Answer: its B

Step-by-step explanation:

I know

Sasha and Mona practiced swimming every day. They increased the number of minutes of swimming every week as described below: Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming?
Mona's method is linear because the number of minutes increased by an equal factor every week.
Sasha's method is exponential because it increases by an equal number every week.
Mona's method is exponential because it increases by a fixed factor, and Sasha's method is linear because it increases by a fixed number.
Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.

Answers

Well it's going to be the last one. Sasha's time is being multiplied by two each week while Mona's is going up by ten each week.

Answer:

Option D.

Step-by-step explanation:

As per given statements we see the time of Sasha practice it increases by a fixed factor of '2' or we can say Sasha's time is multiplied by '2' every week.  

When we see the time of Mona's practice, it increases by 10 mins every week. hence there is a addition of a fixed number '10'.

so option D is correct which says Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.

A circle with a radius of 61cm is made from a wire.The wire is used to make a sector with a radius of 88cm.What is the angle subtended by the sector?

Answers

The circle has a radius of 61 cm, therefore its circumference is
C = 2π*61 = 122π cm

If the wire forms  sector with a radius of 88 cm (as shown in the figure), then the length of the circular sector is
S = 122π - 2*88 = 207.2743 cm

Because the central angle is θ radians, therefore
88*θ = 207.2743
θ = 2.3554 radians
   = (2.3554 rad)*(180 deg/rad)
   = 134.95°

Answer:
The angle subtended by the sector is 135° (nearest whole number)

You have $5.85 to buy bananas to make banana bread. A banana costs $0.39. Which inequality represents the number x of bananas you can buy?

Answers

Hi!

So x represents the number of bananas we can buy. Now let's set up the inequality.

0.39x ___ 5.85

Since we can't go greater than 5.85, we can use that less than or equal to sign.

0.39x ≤ 5.85
^ the answer

Hope this helps! :)
0.39b≤5.85  divide both sides by 0.39

b≤15

0≤b≤15

So you can purchase any amount of bananas from zero to fifteen.

An item on sale costs 45% of the original price. The original price was $15.

Answers

The answer is 8.25. Hope this helps

The selling price of the item in the sale after the discount of 45% will be $8.25.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A thing on special expenses 45% of the first cost. The first cost was $15.

Let the selling price of the item in the sale be 'x'.

The amount of discount is given as,

⇒ 0.45 × $15

⇒ $6.75

The selling price of the item in the sale is calculated as,

x = $15 - $6.75

x = $8.25

The selling cost of the thing in the deal after the rebate of 45% will be $8.25.

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write a story problem that can be solved using the equation: 18.50÷0.5=x

Answers

A man has $18 and 50 cents. He wants to adopt enough children to give each child 50 cents from his $18.50. How many children must this man adopt in order to give away his $18.50 to his newly adopted children?

Oliver earns $9 per hour. Write and solve equation to find how many hours he mustwork to earn in your equation. $315. to define the variable you use

Answers

H=hours

9h= 315

H= 315/9

H= 35

Oliver must work 35 hours to earn $315.

Hopefully, this helps!
H = # of hours of work
315=9H   or $315 = $9*(hours)
Then divide both sides by 9 to isolate the variable.
315/9=35
9h/9=h (9's cancel out)
h = 35
Oliver will have to work 35 hours to earn $315 at $9 per hour. 

2x+3y=-5
3x-5y=21

The y-value of the solution is
A) 2
B) 7
C) -3
D) No solution

Answers

The value of y would be -3.
Hope it helps.

The smith family bought a new tent for a camping trip with a base of 9 by 15 and a height of 7. What is the volume of their new tent?

Answers

472.5 it's a pryamind or triangular pyramid. so 9x15x7/2

The volume of the tent is 472.5 cubic units.

What is a triangular prism?

'A triangular prism is a three-dimensional shape with two identical faces in the shape of a triangle connected by three rectangular faces.'

According to to the given problem,

Length = 15 units

Base = 9 units

Height = 7

Volume of the tent =( [tex]\frac{1}{2}*9*15*7[/tex] ) cubic units

                               = 472.5 cubic units.

Hence, we can conclude, the volume of the tent is 472.5 cubic units.

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Find the value of x in the kite below. Angle TCU measures (7x – 1)° Kite TUVW, with congruent angles T and V, diagonals intersect at point C
x = 12.7
x = 14
x = 13
x = 14.3

Answers

<TCU = 7x - 1 = 90

x = 91/7 = 13
Its the 3rd choice

Determine the common ratio and find the next three terms of the geometric sequence. 2/9, 2/3, 2,  ...
a. 3; 3/2, 9/2, 21/2
c. 1/3; 3/2, 9/2, 21/2
b. 3; 6, 18, 54
d. 1/3; 6, 18, 54

Answers

Answer:

The answer is B

Step-by-step explanation:

The next three terms of the geometric sequence are;

⇒ 6, 18, 54

And, The common ratio is,

⇒ 3

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The geometric sequence is,

⇒ 2/9, 2/3, 2,  ...

Now,

Since, The geometric sequence is,

⇒ 2/9, 2/3, 2,  ...

Hence, The common ratio = 2/3 ÷ 2/9

                                         = 2/3 × 9/2

                                         = 3

So, The next three terms are find as,

⇒ 2 × 3 = 6

⇒ 6 × 3 = 18

⇒ 18 × 3 = 54

Thus, The next three terms of the geometric sequence are;

⇒ 6, 18, 54

And, The common ratio = 3

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In December, 2003, the average price for a gallon of regular gas in the United States was $1.50. (A) Gerald paid $12.60 for a tank of gas. How much did he pay?

Answers

Take $12.50 divided by $1.50= $8.40
So Gerald paid for 8.4 gallons of gas.

Answer:  He paid for 8.4 gallons.

Step-by-step explanation:

Since we have given that

Average price for a gallon of regular gas = $1.50

Amount paid for a tank of gas = $12.60

So, Number of gallons would be

[tex]\dfrac{\text{Total cost}}{\text{Average price}}\\\\\\=\dfrac{12.60}{1.50}\\\\\\=8.4\ gallons[/tex]

Hence, He paid for 8.4 gallons.

An item is regularly priced at $40. It is on sale for 45% off the regular price. What is the sale price?

Answers

45% off....means u r paying 55%

55% of 40 = 0.55(40) = $ 22 <== sale price
Convert the percent into a decimal by moving the percent sign two places to the left and removing the % sign.

45% = 0.45

40 * 0.45 = 18

Subtract the discount amount from the original amount.

40 - 18 = 22

So, $22 is the answer.

A bed & bath company intends to ship out 28,457 blue blankets, and three times as many white blankets. If each box contains 55 blankets of either color, how many full boxes of blankets can be packed, and how many blankets are left over for the last box?

Answers

28457 x 3 = 85371 white blankets

85371 + 28457 = 113,828 total blankets

113828/55 = 2069.6 total boxes

so 2069 full boxes

and 55*.6 = 33 left over blankets

Which of the following side lengths can form a triangle?



16 cm, 21 cm, and 47 cm

1 in, 2 in, and 3 in

34 mm, 75 mm, and 100 mm

8 ft, 24 ft, and 33 ft

Answers

34 mm, 75 mm, and 100mm side lengths can form a triangle.

This is because of the "triangle inequality rule", which states that the sum of two side lengths in a triangle must be greater than (not less than or equal to) than the third side length.
A + B > C 
A + C > B 
B + C > A

You begin solving the equation 3+4x=51 by subtracting 3 from both sides. Which is the best choice for Step 2? Subtract 48 from both sides. Multiply both sides by 4. Divide both sides by 4. Divide both sides by 48.

Answers

You will divide both sides by 4.

The solution of the given equation is x=12. Therefore, option C is the correct answer.

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 =.

The given equation is 3+4x=51.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Subtract 3 from both sides, we get

4x=48

Divide both sides by 4, we get

x=12

Therefore, option C is the correct answer.

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Which table represents the same linear relationship as the equation y = 3x +5?

Answers

The correct answer is C. If you need a better explanation then I am happy to help

~~20 Points~~ If c is a constant such that x^2+25x+c is equal to the square of a binomial, then what is c?

Answers

x^2+25*x+c = (x+number)^2  ---> x^2+25x+c = x^2 + 2*number*x + number^2,

number = 25/2, c = (25/2)^2 = 625/4


Applicant 2 2/3 pages in five minutes how many pages per hour

Answers

2 2/3 pages=8/3 pages
1 hour=60 minutes
Let x represent the total pages in an hour
8/3 pages in 5 minutes
x pages in 60 minutes
Use cross multiply
x(5)=8/3(60)
5x=160
Divided 5 to each side
5x/5=160/5
x=32 pages per hour. As a result, there will be 32 pages per hour. Hope it help!
Answer:  "32 pages [per hour] " .
__________________________________________
Explanation:
_____________________________________________
Set up a ratio:
______________________________________________
2 ⅔ pages : 5 minute:: x pages: 1 hour ;  Solve for "x" ;

Rewrite as:
_______________________________________
(2 ⅔ pages) / 5 minutes = "x" pages/ 1 hour.

Cross-multiply ; and write as:

(5 minutes) ("x" pages) = (2 ⅔ pages) / 1 hour. ; 
________________________________________
Convert the "5 min"  to its values in units of "hour" ;
________________________________________
   5 min = ? hour ?
________________________________________
   5 min * ([tex] \frac{1 hour}{60 min} [/tex]  = ([tex] \frac{5}{60} [/tex] hr ;

([tex] \frac{5}{60} [/tex] hr  = [(5÷5)/(60÷5)] hr = (1/12) hr.
___________________________________________________
So we take our ratio, which is in the form of an equation, as follows:
___________________________________________________
                 (5 minutes) ("x" pages) = (2 ⅔ pages) * 1 hour.
___________________________________________________
       and rewrite — substituting "(1/12 hr)" in lieu of "(5 min)" — as follows:
___________________________________________________
      (1/12) * ("x" pages) = (2 ⅔ pages) * (1) ;  Solve for "x" ;
___________________________________________________
          Divide EACH SIDE of the equation by:  "(1/12 hr)"; or, more efficiently, multiply EACH SIDE of the equation by "12 hr" ; since "dividing by "(1/12)" is the same as multiplying by "12" ;

(i.e. on the "left hand side" of the equation:

[ (1/12) x ] / (1/12) = x ;

  AND:  (1/12)x * 12  = (1x/12) * (12/1) = (12x/12) = x ; the same result.
            {or: (1/12)x * 12 = (x/12) * (12/1) = ?  ;  The "12's" cancel out to "1's" ;  
                        since: "12÷12 = 1" ;  and we have:
                                    " (x/1) * (1/1) = x * 1 = x ;  which is the same value.
_____________________________________________________
   to isolate "x" on one side of the equation:
_____________________________________________________
          So, as explained above, we multiply EACH SIDE of the equation by "12" ; as follows:
_____________________________________________________    
  [ (1/12 hr) * ("x") ]  * 12  =  (2 ⅔ pages) * (1) * (12)  ;
______________________________________________
Simplify:
______________________________________________
                  x = (2 ⅔ pages) * (12) ; 

                  x = (8/3) * (12/1) = ?

The "3" cancels to a "1" ; and the "12" cancels to a "4" ;
_____________________________________________
since: "12÷3 = 4" ;  and since:  "3÷3 = 1 ".
_____________________________________________
  So rewrite as:
_____________________________________________
              x = (8/1) * (4/1) = 8 * 4 = 32 pages.
_____________________________________________
Alternate:
_____________________________________________
     When we have:  x = (2 ⅔ pages) * (12) ; 

                 x = (8/3) * (12/1) = (8*12)/ (3*1) = 96/3 = 32 .
   
                 x = 32 pages.
_______________________________________________
Alternate:
_______________________________________________
     When we have:  x = (2 ⅔ pages) * (12) ; 

                 x = (8/3) * (12/1) = (8*12)/ (3*1) ;

                 x = (8*12)/ (3*1) ;
 __________________________________________________
We can cancel out the "12 in the numerator" and the "3" in the denominator, and replace with "4" and "1", respectively; and rewrite as:

                 x = (8*4) / (1*1) = (32/1) = 32.
  
                 x = 32  pages per hour.
__________________________________________________

The length of of a rectangle is 10mm and the width is 2.5mm, what is the area

Answers

the area for rectangle is (l x w) or (length times width) or (length x width) 

*just in case you get confused

so the length is 10, and the width is 2.5 so you plug in.

10 x 2.5 = 25

your answer is 25 mm²

hope this helps

Triangle ABC is similar to triangle DEF. what is the value of x ? Pic attached :) thank you.

Answers

x=6 and 2/3 
the proportion is also 3:5

Given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.

What are Similar Triangles?

If two triangles are similar, it means they have the same shape but different sides, and therefore, the ratio of their corresponding sides are equal.

Thus:

BC/EF = AC/DF

Substitute

8/2x = 3/5

Cross multiply

40 = 6x

Divide both sides by 6

x = 6⅔.

In summary, given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.

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one light flashes every 18 seconds and the other flashes every 12 seconds. If they flash together at 8:00pm, what is the next time that they will flash together?

Answers

ur basically looking for the lowest common multiple...and it is 36...so they will flash together again in 36 seconds....so its still gonna be 8:00 pm...just 36 seconds later
What these types of problems want you to find is the least common multiple.

The LCM will be the product of the highest occurring primes of the numbers prime factorization.

12=2*2*3, 18=2*3*3

So the LCM is 2*2*3*3=36

So the lights will flash again at the same time 36 seconds after 8 pm, or if you prefer:

8:00:36

Rectangle ABCD is shown above. Find the midpoint of diagonal AC. (Please Help Me Find The Answer)

Answers

Point A is (-3,1), C is (4,4)

MidPoint is ( (x1+x2)/2, (y1+y2)/2)

MP is (0.5, 2.5)

What is the initial value of y=-2x-5

Answers

This problem can be solved easily. The equation states that y is a function of x. Since this is the case, then we can get the initial value of the function when x = 0. Therefore by substitution:

y = - 2 x -5

y = - 2 (0) – 5

y = -5                     (ANSWER)

Final answer:

The initial value of the equation y=-2x-5 is -5, which represents the y-intercept of the graph where it crosses the y-axis.

Explanation:

The initial value of the linear equation y=-2x-5 refers to the y-intercept, which is the value of y when x is equal to zero. In this equation, when we set x to 0, y will be -5. This is because the initial value is the value of the function when it starts or when no other changes have been applied to x. It is the point where the graph of the equation crosses the y-axis.

A scale on a map shows that 2 inches = 25 miles.
Part A
How many inches on the map represent 60 miles?
Enter your answer in the box.
Part B
How many miles are represented by 1/4inch on the map?
Enter your answer in the box.

Answers

60/25 = 2.4

2.4 x 2 = 4.8 inches = 60 miles

25/2 = 12.5 for 1 inch

12.5/4 = 3.125 miles for 1/4 inch


Find the circumference of the following circle. (Use 3.14 for π.)



15.7 in.
78.5 in.
19.63 in.
31.4 in.

Answers

The formula for circumference is 2pi*r.
The given diameter is 5 and radius is half of diameter, so the radius is 2.5.
Plus that into the formula.
2*pi*2.5 equals approx. 15.7

The circumference of the circle is 15.7 inches.

What is circumference?

Circumference can be defined as the total distance around a circle.

To calculate the circumference of the circle, we use the formula below.

Formula:

P = πd............... Equation 1

Where:

P = Circumference of the circled = Diameter of the circleπ = pie.

From the question,

Given:

d = 5 inchesπ = 3.14

Substitute these values into equation 1

P = 3.14×5P = 15.7 inches.

Hence, The circumference of the circle is 15.7 inches.

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"EXPLAIN PLEASE" Which equation does the graph below represent

Answers

Firstly, the graph has a negative gradient (it plots down to the right side rather than up to the right side). This means that in terms of y, x must be negative (this cuts out two of the four options!) Next, you can just take a coordinate from the line, and match it to one of the equations! So take for example (1,-3). When x=1, y=-3(1). So, the answer is the third equation down!

what is the median of 2, 20, 19, 15, 11, 9, 7, 1

Answers

Put them in order and than cross out once from left and than from the right. Repeat till you end up with 1 number in the middle, if no number is left, add the last two you cross out and divide it by 2~

Ans: 10
Your (head) [tex]count [/tex]would be: [tex]8[/tex]

The  [tex]sum[/tex] would be [tex]84[/tex]

[tex] \frac{84}{8} = 10.5[/tex]

So, the [tex]mean[/tex]:  [tex]10.5 [/tex]

Your [tex]median[/tex] would be: [tex]10 [/tex]

Your [tex]mode[/tex] would be: [tex]2, 20, 19, 15, 11, 9, 7, 1[/tex]

Your answer: [tex]10 [/tex]

Good Luck on Your assignment! 
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