Could someone help me understand how to solve this?

Original question: What two numbers multiply to get -12 and add to -5.

Answer:

Pairs of numbers (1.772, -6.772) and (-6.772, 1.772).

Step-by-step explanation:

Let [tex]x[/tex] and [tex]y[/tex] be the two numbers, the we know that

(1). [tex]xy=-12[/tex]

and

(2). [tex]x+y=-5[/tex]

We solve for [tex]y[/tex] in equation(2) and substitute this into equation(1)

[tex]y=-(5+x)[/tex]

[tex]xy=-x(x+5)=-12[/tex]

[tex]x^2+5x-12=0[/tex]

This is a quadratic equation, and its solutions are

[tex]x=1.772\\\\x=-6.772[/tex]

we substitute these two solutions into equation(1) and find the corresponding [tex]y[/tex] values:

[tex](1.772)y=-12\: \therefore y=-6.772[/tex]

[tex](-6.772)y=-12 \: \therefore y=1.772[/tex]

Thus we have two pairs of numbers which multiply to give -12 and add to give -5

[tex](1.772, -6.772)[/tex] and [tex](-6.772, 1.772).[/tex]

Answer:

B

Step-by-step explanation:

move x to one side and numbers on another side.

9+5<3x+4x. --» 14<7x. --»/7--» x>2

Final answer:

The inequality 9 - 4x < 3x - 5 simplifies to x > 2 after collecting like terms and performing basic algebraic operations. Therefore, the correct answer is B. x > 2.

Explanation:

To solve the inequality 9 - 4x < 3x - 5, we need first to collect like terms on one side. This step involves moving all the x terms to one side of the inequality and the constant terms to the other side.

Let's do this now:

The answer is x > 2, which corresponds to option B.

Answer:

opposite sides that are parallel,

opposite angles that are congruent,

opposite sides that are congruent,

consecutive angles that are supplementary, and

diagonals that bisect each other.

Step-by-step explanation:

not sure if this is the kind of answer you're looking for so i'm sorry if this didn't help

Answer:

in the steps

Step-by-step explanation:

D(-2,3) E(4,-1) F(2,-4) G(-4,0)

slope DG: (0-3)/(-4+2) = -3/-2 = 3/2

slope EF: (-4+1)/(2-4) = -3/-2 = 3/2

DG // EF

slope DE: (-1-3)/(4+2) = -4/6 = -2/3

slope GF: (-4-0)/(2+4) = -4/6 = -2/3

DE // GF

slope DG = - 1/slope DE

DG ⊥ DE

The same reason

DG ⊥ GF

DE ⊥ EF

EF ⊥ GF

∴ DEFG is a parallelogram with four 90° interior angles, it's a rectangle

Answer:

X=-10

Step-by-step explanation:

Answer:

Step-by-step explanation:

15x+20-10x-9=25x+8-21x-7

5x + 11 = 4x + 1

Collecting like terms

5x - 4x = 1 - 11

x = -10

The population of the county is 76,869.

Step-by-step explanation:

Given,

Number of people with Diabetes = 12914

Percent of people with Diabetes = 16.8%

Let,

x be the number of people in county.

16.8% of x = 12914

[tex]\frac{16.8}{100}x=12914\\0.168x=12914[/tex]

Dividing both sides by 0.168

[tex]\frac{0.168x}{0.168}=\frac{12914}{0.168}\\x=76869.04[/tex]

Rounding off to nearest whole number

x = 76,869

The population of the county is 76,869.

Keywords: division, percentage

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Answer:

i got it for the team sooo

1. 10.1

2. 16.5

3. 58.9

4. 41.1

it gave me the right answers this is edg 2020

Determining Relative Frequencies as Percentages

Answer:

see explanation

Step-by-step explanation:

The side of the square = x + 2, thus area is equal to

(x + 2)² ← expand using FOIL

= x² + 4x + 4

Given area = 7 then

x² + 4x + 4 = 7 ( subtract 4 from both sides )

x² + 4x = 3 ← as required

Answer:

the area of the square ABCD = 7

on the other hand, the area of the square ABCD = (2+x)² = x² + 4x + 4

then x² + 4x + 4 = 7

then x² + 4x + 4 = 4 + 3

then x² + 4x = 3

Step-by-step explanation:

Answer:7.14

Don’t rely on me I tried. Might be wrong but there’s an app called photo math and it’ll help with equations just like this.

Step-by-step explanation:subtract 5 from 5 and subtract 5 from 105 because you want to get X by itself. There for 14x equals 100. Then divide both by 14. 14 cancels out and you get your answer.

Answer:

Step-by-step explanation:

20 : 440 = 60:x

Product of means = 440*60

Product of extremes = 20*x

20*x = 440*60

x = 440*60/20 = 440*3

x = 1320 miles

Answer:

x-8=18

Step-by-step explanation:

A number is our variable, so we will use X. 8 less than a number would be 8-x and that equals 18 so x-8=18.

Answer:

7.54 times greater.

Step-by-step explanation:

The square with a side length of 4 inches has a 4×4=16 inches squared area. The area of a cirkel is calculated with the formula \pi×r^2. Using the 6.2 inch radius given, we get \pi×6.2^2=120.76 inches squared. 120.76/16=7.54 times greater.

Final answer:

Calculate the difference in area between a circle and a square given their respective dimensions.

Explanation:

To find the area of a circle with a radius of 6.2 inches:

To find the area of a square with a side length of 4 inches:

Subtract the area of the square from the area of the circle to find the difference:

Difference = 38.48 - 16 = 22.48 square inches.

The value of t = 2. Option a) 2 is the correct answer.

Step-by-step explanation:

Perimeter is the sum of three sides of a triangle.

Given that, the points D and E are midpoints of the sides.

Therefore,

side AB= AD+DB

       AB= 3t + 3t = 6t

side BC= BE+EC

       BC= 4t + 4t = 8t

side AC= 7t+6

Perimeter of the triangle= sum of (side AB+side BC+side AC)

48 = 6t+8t+7t+6

48 = 21t+6

t= 42/21

t= 2

Bill's and Mary's watches will match once a year on a non-leap year and twice a year on a leap year since Bill's watch loses 4 minutes per day. After 360 days, Bill's watch will be exactly 24 hours behind Mary's.

You asked how many times a year Mary's watch (which keeps perfect time) and Bill's watch (which loses 4 minutes a day) would match if they were both set at midnight on January 1. This is a mathematical problem involving the concept of elapsed time.

Since Bill's watch loses 4 minutes per day, after 1 day, there will be a 4-minute difference between the two watches. As this pattern continues, we calculate how many days it will take for Bill's watch to lose an entire 24-hour cycle (1440 minutes) since 1440 minutes divided by 4 minutes/day equals 360 days. Therefore, Bill's watch would match Mary's watch exactly one more time, 361 days after both watches were set, which would be on the next New Year's Eve, just before both watches hit midnight.

However, this scenario would only occur in a non-leap year. During a leap year, Bill's watch would be 4 minutes slow on December 30th instead of on December 31st, so Bill's watch would match Mary's watch two times in a leap year, once on January 1st and again on December 30th. In conclusion, Bill's and Mary's watches match once a year during a non-leap year and twice during a leap year.

Answer:

Gery will get 45 £,Eddy will get 135 £ and Bernie will get 270 £ of the total share.

Step-by-step explanation:

Given:

Bernie, Eddy and Gery share £450.

Bernie gets twice as much as Eddy.

Eddy gets three times as much as Gery.

So,

Let Gery gets 'x' share of the amount.

Then,

Eddy's share will be '[tex]3x[/tex]'

and

Bernie's share will be [tex]2\times 3x=6x[/tex]

According to the question.

Total share summation of total share = [tex]450[/tex]

⇒ [tex]x+3x+6x=450[/tex]

⇒ [tex]10x=450[/tex]

⇒ [tex]x=\frac{450}{10}=45[/tex]

So Gery's share = 'x' [tex]= 45[/tex]

Eddy's share = [tex]3x=3\times 45=135[/tex]

Bernie's share = [tex]6x=6\times 45=270[/tex]

Gery will get 45 £,Eddy will get 135 £ and Bernie will get 270 £ of the total share.

Answer: 1.428571429 rounded to the nearest tenth is 1.4.

Step-by-step explanation: The answer is 1.4 because the number you were using to round was lower than five.

Final answer:

The number 1.428571429 rounded to the nearest tenth is 1.4, as the hundredth's place digit is less than 5.

Explanation:

To round the number 1.428571429 to the nearest tenth, we look at the first digit after the tenth's place, which is the hundredth's place. If this digit is 5 or greater, we round up. If it's less than 5, we do not round up. In this case, the hundredth's digit is 2, which is less than 5. Therefore, the number 1.428571429 rounded to the nearest tenth is 1.4. This process of rounding to the nearest tenth simplifies numbers while maintaining their approximate value, aiding in concise representation and easier comprehension of numerical data in various contexts.

Answer:

Step-by-step explanation:

It moves 108m in 4sec

Than in 1sec it moves 108/4m= 27m

And in 9sec it will move 27×9m

= 243m

ANSWER: Exact Form: 2[tex]\sqrt{145}[/tex]

Decimal Form:  24.08318915

STEP-BY-STEP EXPLANATION:

(-12,1)  (12,-1)

Use the distance formula to determine the distance between the two points.

Distance = [tex]\sqrt{(X2-X1)^{2  }+ (Y2-Y1)^{2} }[/tex]

Substitute the actual values of the points into the distance formula.

[tex]\sqrt{(12-(-12))^{2  }+ ((-1)-1)^{2} }[/tex]

Multiply  -1 BY -12

[tex]\sqrt{(12+12)^{2  }+ ((-1)-1)^{2} }[/tex]

Add 12 and 12

[tex]\sqrt{24^{2} +((-1)-1)^{2} }[/tex]

Raise 24 to the power of 2

[tex]\sqrt{576 +((-1)-1)^{2} }[/tex]

[tex]\sqrt{576+4}[/tex]

[tex]\sqrt{580}[/tex]

Rewrite 580 as [tex]2^{2}[/tex]·145

Factor 4 out of 580

[tex]\sqrt{4(145)}[/tex]

Rewrite 4 as [tex]2^{2}[/tex]

[tex]\sqrt{2^{2}(145) }[/tex]

Pull terms out from under the radical.

2[tex]\sqrt{145}[/tex]

The result can be shown in multiple forms.

Exact Form: 2[tex]\sqrt{145}[/tex]

Decimal Form:  24.08318915

The distance between the points will be "24.08 units".

Given points:

As we know the formula,

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

By substituting the values, we get

                  [tex]= \sqrt{(12-(-12))^2+(-1-1)^2}[/tex]

                  [tex]= \sqrt{(24)^2+(-2)^2}[/tex]

                  [tex]= \sqrt{576+4}[/tex]

                  [tex]= \sqrt{580}[/tex]

                  [tex]= 24.08 \ units[/tex]

Thus the above answer is correct.    

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Answer:

Therefore elements greater than 5 is only 11.

Step-by-step explanation:

Set:

A set in mathematics is a collection of well defined and distinct objects, also consist of a collection of elements.

Example:

Let A be the set for {-8, 0, 5, 11}

∴ A = {-8, 0, 5, 11}

This is the set ' A 'consists of elements as a number -8, 0, 5, 11.

Therefore elements greater than 5 is only 11. ( 5 will not come as it is mentioned greater than 5 )

-8, 0 are less then 5

Answer:

100(2)(3.14) = about 628 feet

Answer:

Step-by-step explanation:

the answer is 5

The Answer is (5) :D Hope this helps

Answer:

9 3/6 ⇒ 19/2

3 4/6 ⇒ 11/3

Step-by-step explanation:

A fraction greater than one is an improper fraction.

[tex]9\frac{3}{6}[/tex] when converted into an improper fraction is

[tex]9\frac{3}{6} =9+\frac{3}{6} \\\\=\frac{9*6}{6}+ \frac{3}{6}\\\\ =\frac{54}{6}+ \frac{3}{6}=\frac{57}{6}\\\\ =\boxed{\frac{19}{2}. }[/tex]

[tex]3\frac{4}{6}[/tex] when converted to a fraction is

[tex]3\frac{4}{6}=3+\frac{4}{6}\\\\=\frac{3*6}{6}+ \frac{4}{\\\\6}\\\\=\frac{18}{6}+\frac{4}{6}=\frac{22}{6}\\\\=\boxed{\frac{11}{3}. }[/tex]

Thus fractions [tex]9\frac{3}{6}[/tex] and [tex]3\frac{4}{6}[/tex] when converted to fractions greater than one are [tex]\frac{19}{2}[/tex] and [tex]\frac{11}{3}[/tex] respectively.

9 3/6 cups of pancake batter is [tex]\( \frac{19}{2} \)[/tex]and 3 4/6 cups is [tex]\( \frac{11}{3} \)[/tex].

Step 1:

Convert the mixed number 9 3/6 to an improper fraction:

[tex]\[ 9 \frac{3}{6} = \frac{(9 \times 6) + 3}{6} = \frac{54 + 3}{6} = \frac{57}{6} \][/tex]

Step 2:

Simplify the fraction:

[tex]\[ \frac{57}{6} = \frac{19 \times 3}{2 \times 3} = \frac{19}{2} \][/tex]

So, 9 3/6 cups of pancake batter is equivalent to the improper fraction [tex]\( \frac{19}{2} \).[/tex]

Step 3:

Now, convert the mixed number 3 4/6 to an improper fraction:

[tex]\[ 3 \frac{4}{6} = \frac{(3 \times 6) + 4}{6} = \frac{18 + 4}{6} = \frac{22}{6} \][/tex]

Step 4:

Simplify the fraction:

[tex]\[ \frac{22}{6} = \frac{11 \times 2}{3 \times 2} = \frac{11}{3} \][/tex]

So, 3 4/6 cups of pancake batter is equivalent to the improper fraction [tex]\( \frac{11}{3} \).[/tex]

Therefore, each mixed number, when expressed as a fraction greater than one, is [tex]\( \frac{19}{2} \)[/tex] and [tex]\( \frac{11}{3} \)[/tex], respectively.

Answer:

c

Step-by-step explanation:

Answer:

Y i hhad this question before but you need too show the questions as well

Step-by-step explanation:

The circle will create 1808.64 square inches.

Step-by-step explanation:

Given,

Width of square cloth = 48 inches

This will be the diameter of circle.

Therefore,

Diameter = 48 inches

Radius = [tex]\frac{Diameter}{2}=\frac{48}{2}=24\ inches\\[/tex]

Area of circle = πr²

Area of circle = [tex]3.14*(24)^2[/tex]

Area of circle = 3.14 * 576

Area of circle = 1808.64 square inches

The circle will create 1808.64 square inches.

Keywords: radius, circle

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Answer:

1990

Step-by-step explanation:

The number of banks in 1970 is 18,137, in 1990 is 3, and in 2010 is 7,250.

(a) Since 1970 is 70 years after 1900,

use the function f(x) = 81.8x + 12,361 for the years before 1990 (when x < 90).

f(70) = 81.8 * 70 + 12,361

        = 5776 + 12,361

        = 18,137

The number of banks in 1970 is 18,137.

(b) Since 1990 is exactly 90 years after 1900,

use the other part of the function f(x) = 3 for the years between 1990 and 2010.

f(90) = 3

The number of banks in 1990 is 3.

(c) Since 2010 is 110 years after 1900, use the function

f(x) = -376.4x + 48,685 for the years after 290 (when x > 290).

f(110) = -376.4 * 110 + 48,685

        = -41404 + 48,685

         = 7250

The number of banks in 2010 is 7,250.

So, the number of banks are 18,137, 3 and 7,250.

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Answer:

3

Step-by-step explanation:

we know there is 18 total. so we subtract the other numbers from 18.

18-5=13

13-10=3

hope this helps!

Answer:

628.32 feet

Step-by-step explanation:

The SkyView Ferris wheel is 200 feet in diameter.

A) The distance around the Ferris wheel would be the Circumference of  

   the Ferris Wheel.

B) The formula for circumference is given by

     circumference =  [tex]\pi[/tex] ×  diameter

C) the distance traveled in one rotation is the length of the circumference

   given by circumference =  [tex]\pi[/tex] ×  diameter  

∴ circumference = 3.14159 × 200 feet  =  628.32 feet.

Answer:

1 hour 20 minutes

Step-by-step explanation:

It takes twenty minutes to finish a quarter of one level. Which indicates that it would take one hour and twenty minutes to finish said level by simply multiplying twenty by four.

George will complete a level on his computer games in 1 1/3 of the hours.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that he finished 1/4 of a level on his computer games in 1/3 of an hour at this rate.

Let x the number of hours will it take to complete on a level

According to the given question, we can write the ratio would be as:

1/4 of a level : 1/3 of an hour = 1 level : x hour

⇒ (1/4) / (1/3) = 1/x

Apply the cross-multiplication operation,

⇒ x = (1/3) × 4

⇒ x = 4/3

⇒ x = 1 1/3

Therefore, there will be 1 1/3 of the hours it takes to complete a level.

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Answer:

Initial value: 12, rate of change: -2

Step-by-step explanation:

The rate of change is given by change in the y-values over change in x-values.

There is a constant change of -2 in y-values.

There is also a constant change of 1 in the x-values.

The rate of change is -2

The initial value is when x=0,

So we go back one step, and that will give us (0,12)

Therefore the initial value is 12.

Answer:

The answer is A, "Initial value: 12, rate of change: -2."

Step-by-step explanation:

I just completed the test and got it correct.