The product of two consecutive integers is 420 which quadratic equation can be used to find x the lesser number

Answer:

m angle 1= 45

m angle 2= 76

m angle 3= 80

Step-by-step explanation:

Answer:

-7 , -9 and -10

Step-by-step explanation:

The main temperature is -5°C.

-5 is a negative number so a colder temperature will be a number that is less than -5

substracting this number from -5 will give us a positive number

Answer:

29/30

Step-by-step explanation:

Make all denominators equal to 30.

4/5 × 6/6  +  1/2 × 15/15  -  1/3 × 10/10

24/30 + 15/30 - 10/30

Combine.

(24 + 15 - 10)/30

(24 + 5)/30

= 29/30

[tex]\frac{4x6}{5x6}[/tex]Answer:

Step-by-step explanation:

4/5+1/2-1/3

TAKE LCM of denominator

Lcm=5x2x3(as all are prime factors)=30

4x6/5x6

similarly, 1x15/2x15

1x10/3x10

you will get,

[tex]\frac{24+15-10}{30}[/tex]

you will get,

29/30

(/=division sign)....hope i cleared your doubts....pls mark brainliest

Answer:

14.21 inches

Step-by-step explanation:

Given

1 inch = 14 feet

Required

Find the equivalent of 199 feet

Write out the given expression;

1 inch = 14 feet

Let x represent the equivalent of 199 feet in inches; Such that:

x = 199 feet

Write out both expressions

1 inch = 14 feet

x = 199 feet

Using cross multiplication; both expressions become

x * 14 feet = 199 feet * 1 inch

Divide both sides by 14 feet

[tex]\frac{x * 14 feet}{14 feet} = \frac{199 feet * 1 inch}{14 feet}[/tex]

[tex]\frac{x * 14}{14} = \frac{199* 1 inch}{14}[/tex]

[tex]\frac{14x}{14} = \frac{199* 1 inch}{14}[/tex]

[tex]x = \frac{199* 1 inch}{14}[/tex]

[tex]x = \frac{199inch}{14}[/tex]

[tex]x = 14.2142857143inch[/tex]

[tex]x = 14.21 inches[/tex] (Approximated)

Answer:

A) x+y=10 & 2x+3y=24

B) x=6

C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)

Step-by-step explanation:

A) x+y=10

2x+3y=24

B) make x+y=10 into y=10-x

Substitute 10-x in for y into the 2nd equation.

2x+3(10-x)=24

2x+30-3x=24

-1x=24-30

-1x=-6

x=6

C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)

Answer:

D) 9,202.8

Step-by-step explanation:

The volume of a cone is [tex]\frac{\pi *r^{2} *h}{3}[/tex] so when you substitute the values you get the answer

Answer: A

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Given

2x - 3y < 12

Required

Find the graph it represents

we start by solving for the x and y intercepts;

Let x = 0

2x - 3y < 12 becomes

2(0) - 3y < 12

0 - 3y < 12

-3y < 12

Divide both sides by -3

-3y/3 < 12/-3

y > -4

Let y = 0

2x - 3y < 12 becomes

2x - 3(0) < 12

2x - 0 < 12

2x < 12

Divide both sides by 2

2x/2 < 12/2

x < 6

So, we have

x < 6 and y > -4

This implies that the graph is bound by the region where the values of x is less than 6 and the values of y is greater than -4

From the list of given options,only option C answers this question. The dotted lines actually represent inequalities

Answer:

g (x-2) = x

Step-by-step explanation:

Set up the composite result function g (f(x))

Then Evaluate g (f(x)) by substituting in the value of F into G: g (x-2) = (x-2) + 2

finally Combine the opposite terms in (x-2) + 2: add -2 and 2: g(x-2) = x+0: add x and 0: g(x-2) = x

Answer:

the answer is a

Step-by-step explanation:

Answer:

8pi km, 16pi  km

Step-by-step explanation:

The formula for circumference is d times pi

That means it's simply 8pi

The area formula is pi r^2

To find the radius, we divide by 2,

4 squared is 16

Area is 16pi

Answer:

x=1

Step-by-step explanation:

3x+3=5+x

3x-x+3=5

2x=2

x=1

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 1

▹ Step-by-Step Explanation

3(x + 1) = 5 + x

Distribute

3x + 3 = 5 + x

Move the variable to the left and change the sign

3x - x + 3 = 5

Collect like terms

2x = 5 - 3

Calculate

2x = 2

Final Answer

x = 1

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

A and B

Step-by-step explanation:

For A, y=2 is the axis of vertical symmetry, meaning a reflection would map the shape onto itself.

For B, x=3 is the axis of horizontal symmetry, meaning a reflection would map the shape onto itself.

For C, a rotation of 90 degrees would make the shape taller vertically and shorter horizontally, therefore it would be wrong.

For D, a translation two units down would move all points down, even though some would need to go up, therefore it would be wrong.

Answer:

last one is the right answer

Answer:

d.5-eighths of a # plus negative 2 and 5-tenths.

Step-by-step explanation:

Hope i helped you.

Answer:

B) 122

Step-by-step explanation:

This is because x will equal 180 - 58

Answer:122

Step-by-step explanation:

7a -a2

+3a2 -4

Answer:

-4a^2+7a+4

Step-by-step explanation:

7a-a^2 --4+-3a^2

:-4a^2+7a+4

Answer:

33

Step-by-step explanation:

100 / 3 is approximately equal to 33

Answer:

i think it is .c because 3 goes into about 33.33 times so hope this helps

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

by definition, opposite angles of parallelograms are equal.

Answer: 25?

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

To first tackle this question, use similarity ratio, where the missing diameter is d. 10/15 = d/9 which can be simplified into d = 6. Then use the surface formula  

2πrh + 2πr². Then, since the radius is 0.5d, the radius or r is 3. Then, plus in values and simplify to get 226.19cm².

Answer:

Thus, 28/5 is equivalent of 5.6

Step-by-step explanation:

Given

Number is 5.6

it is in decimal form.

The first number after decimal represent the tenth of number

The Second number after decimal represent the hundredth of number

and similarly we can define thousandth of a number.

Step to write decimal number in fractional form is (say a.bcd

write the full number without decimal

so number will be

abcd

divide the number by 1

abcd/1

now count the number of digit after decimal  and put as many 0's after 1

there are three digits after decimal, we will put three digit after 1 in denominator

thus number in fraction is

abcd/1000

_________________________________________________

Given number is 5.6

hence writing it in fractional form as explained above

5.6 = 56/10

56 = 28*2

10 = 2*5

5.6 = 56/10  = 2*28/2*5 = 28/5

Thus, 28/5 is equivalent of 5.6

Answer:

x = 11

Step-by-step explanation:

As it is stated the the both the triangle ABC and DEC are congruent, it means that all the angles forms in these triangles are also congruent. We can states that

<A = <D

<C = <C

<B = <E

As both angles B and E are equal to each other, we can equate them

<B = <E

Where <B = 2x+31 and <E= 7x-24, substitute both values in above expression:

2x + 31 = 7x - 24

Solve for x:

7x - 2x = 31 +24

5x = 55

x = 11

Answer:

11

Step-by-step explanation:

Answer:

1.) x^2 + 3x

2.) 3x^2 - 3x

3.) 278

Step-by-step explanation:

You are given the following functions:

f(x) = x + 5

g(x) = x2 + 4x + 5

h(x) = 3x2 - 2x + 5

1.) To match the function with its value,

(f+g)(x) = f(x) + g(x)

Substitutes for the two functions

X + 5 = x^2 + 4x + 5

Collect the like terms and equate them to zero

X^2 + 4x - x + 5 - 5

X^2 + 3x

Therefore, (f+g) (x) = x^2 + 3x

2.) (f*h)(x) = f(x) × h(x)

x + 5 = 3x^2 - 2x + 5

Collect the like terms

3x^2 - 2x - x + 5 - 5

3x^2 - 3x

Therefore, (f×h)(x) = 3x^2 - 3x

3.) h[f(5)] -g[h(1)]

First find f(5)

That is, substitute x for 5 in f(x)

f(5) = 5 + 5 = 10

Also, do the same for h(1)

h(1) = 3(1)^2 - 2(1) + 5

h(1) = 3 - 2 + 5 = 6

h[f(5)] - g[h(1)]

= 3(10)^2 - 2(10) + 5 - (6)^2 + 4(6) + 5

= 300 - 20 + 5 - 36 + 24 + 5

= 334 - 56

= 278

Therefore, h[f(5)] - g[h(1)] = 278

Answer:

Third Choice:

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

Step-by-step explanation:

One line has

[tex] x + \dfrac{b}{2a} = \pm \dfrac{\sqrt{b^2 - 4ac}}{2a} [/tex]

The next line's reason is that b/2a was subtracted from both sides.

The missing line is:

[tex] x = -\dfrac{b}{2a} \pm \dfrac{\sqrt{b^2 - 4ac}}{2a} [/tex]

Then it simplifies to

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Answer:

Garden hose water flow in gallons per minute(x:y) = 12:1

Minutes per gallon water flow(y:x) = 1:12

Step-by-step explanation:

Complete question below

A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalent ratios to show the garden hose's water flow in gallons per minute and minutes per gallon.

Let

the garden hose water flow=x

Time of glow=y

x:y=36 gallons : 3 minutes

x/y=36/3

x/y=12/1

x:y=12:1

Therefore, garden hose water flow in gallons per minute is given by

x:y = 12:1

Minutes per gallon water flow

y:x=3:36

y/x=3/36

y/x = 1/12

y:x = 1:12

Therefore, minutes per gallon water flow is given by

y:x = 1:12

Table of equivalent ratio for x:y

36:3

24:2

12:1

Table of equivalent ratio for y:x

3:36

2:24

1:12

Answer:

C

Step-by-step explanation:

Angles on a straight line.

180 - 100

= 80

Angles in a triangle.

180 - 38 - 80

= 62

Answer:

slope 3, y intercept 4

Step-by-step explanation:

The y intercept is where it crosses the y axis

It crosses at y=4

The slope is positive since it goes from bottom left to top right

The slope is  up 3 over 1 so it is 3/1 = 3

Answer:

6

Step-by-step explanation:

I = Person

April I May I I I I I

I April I May I I I I

I I April I May I I I

I I I April I May I I

I I I I April I May I

I I I I I April I May

Each situation will always have 1 person between them and there will always be 8 people.

Answer:

24 unit

Step-by-step explanation:

This question can be solved using concept of basic proportionality theorem,

according to this theorem, if a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.

Example:

let there be a triangle ABC

if DE is drawn parallel to BC such that D is a point on line AB and E is other point on AC, then

AD/DB = AE/EC (basic proportionality theorem)

_____________________________________

Similarly in this problem

15/5 = ?/8

3= ?/8

? = 8*3 = 24

Thus. missing segment value is 24 unit.

Answer:

False

Step-by-step explanation:

Well to solve for z we single it out, distribute, use the communicative property, and combine like terms.

42 = -7(z - 3)42 = -7(z - 3)

Distribute

42 = -7z + 21*42 = -7z + 21

42 = -7z + 882 = -7z + 21

-42 to both sides

-7z + 840 = -7z + 21

-21 to both sides

-7z + 819 = -7z

+7z to both sides

819 = 0

Thus,

the given equation is false.

I hope this helps :)