The product of two consecutive positive integers is 26 more than ten times the largest of the two numbers.

1. Write an equation to represent the situation above.

Answer:

A) x² + 7x - 12 is NOT equivalent to the expression.

Step-by-step explanation:

1) expand by distributing terms.

[tex] {x }^{2} - 3x + 4(x - 3)[/tex]

2) Expand by distributing terms.

[tex] {x}^{2} - 3x + 4x - 12[/tex]

3) Collect like terms.

[tex] {x}^{2} + ( - 3x + 4x) - 12[/tex]

4) Simplify.

[tex] {x}^{2} + x - 12[/tex]

The second equation are equivalent to the equation. but the first equation is not equivalent to the main equation.

Answer:

x = 3/4

Step-by-step explanation:

Answer:

x = 3/4

Step-by-step explanation:

Find the LCD of the fractions.  Multiplying the denominators 3 and 4 together, we get LCD = 12.  

Rewriting the mixed numbers, we get

3 2/3 = 3 8/12 and 3 1/4 = 3 3/12

So the original equation becomes

(3 8/12)x + 3 3/12 = 6

We must now combine like terms:  subtract 3 3/12 from both sides of this equation, obtaining:

(3 8/12)x = 6 - 3 3/12, or

(3 8/12)x = 2 9/12.  Converting the mixed numbers into improper fractions, we get:

(44/12)x = 33/12.  Multiplying both sides by 12 yields 44x = 33

and so x = 33/44 = 3/4

x = 3/4

Alternatively, convert the original mixed numbers into improper fractions right away.  Then the original   3 2/3 x+3 1/4=6

becomes (11/3)x + 13/4 = 72/12, or

                 (44/12)x + 39/12 = 72/12

Multiplying all three terms by 12 yields:

44x + 39 = 72, which simplifies to 44x = 33, or x = 3/4

Answer:

532 m ^2

Step-by-step explanation:

18x18 + 1/2x8x 16 + 1/2 x 16 x18

324 + 64+ 144 = 532

Answer:

76.5

Step-by-step explanation:

Answer:

m= −2 /7

Step-by-step explanation:

Let's solve your equation step-by-step.

6m+1m=−2

Step 1: Simplify both sides of the equation.

6m+1m=−2

6m+m=−2

(6m+m)=−2(Combine Like Terms)

7m=−2

7m=−2

Step 2: Divide both sides by 7.

7m /7 = −2 /7

Answer:

80 + 15x ≤ 300

Step-by-step explanation:

max amount = $300

already spent = $80

$300 - 80 = $220

shirts = $15 each

80 + 15x ≤ 300

$80 that is already spent + $15x ≤ $300 maximum

x = number of shirts

Answer: 6782.4 ft is your answer

Step-by-step explanation:

Answer: 6785.84

Step-by-step explanation:

Volume of a cylinder is [tex]\pi r^{2}h[/tex]

So solve both cylinders to get

20357.52

13571.68

Subtract to get the difference

6785.84

Answer:

c = √(a² + b²)

Step-by-step explanation:

c=√a2+b2

Answer: so if you have a right triangle and only know the horizontal and vertical lines you would which equal 13 and 12 you would find those squared which are, 169 and 144. Add those together. 313. Then get the square root of 313. Which is rounded 17.7. So the answer to the hypotenuse is 17.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

they right it is 7

Answer:

[tex] \frac{36}{100} = \frac{9}{25} [/tex]

Step-by-step explanation:

3600%/100% cancel them you will get 36% answer..

Answer:

its A

dont trust the person who said b it will mess you up

Answer:

a

Step-by-step explanation: I am 99% sure

Answer:

130.50 X 13% = $16.97

130.50 - 16.97 = 113.53

Answer 113.53

Step-by-step explanation:

Answer:

i think it would be 6/96 not sure tho

Step-by-step explanation:

Answer: A≈63.62

Step-by-step explanation:

9/2= 4.5

A=πr2=π·4.52≈63.61725

Answer:

To find the area of a circle we have [tex]\pir^{2}[/tex] and the radius is half of the diameter so we have 4.5² which gives 16.25π

Answer:

A

Step-by-step explanation:

-16t^2 + 24t= 0

-2t^2+3t =0

3t= 2t^2

3= 2t

t=1,5

Answer:

= 3.5 x 10^ -12

Step-by-step explanation:

i hope this helps :)

Answer:

35 * [tex]10^{-13}[/tex]

Step-by-step explanation:

Answer:

3+11+9+7

Step-by-step explanation:

You add all the numbers

Answer:

he can make 6 because 2 and 1/2 plus 1/2 = 3 and 3 divided by 2 is 6

Step-by-step explanation:

Answer:

B) 39/89

Step-by-step explanation:

With reference angle E

hypotenuse (h) = 89

base (b) = 39

cosine angle E

= b /h

= 39/89

Answer:

The answer is C

Step-by-step explanation:

It starts at 25 and then it stops at 38.

I hope this helps!

Answer:

hi

Step-by-step explanation:

Answer:

x ≥ 9

Step-by-step explanation:

Answer:

8 and 36

Step-by-step explanation:

let the daughter's age be x then father is x + 28

In 6 years their ages are

x + 6 and x + 28 + 6 = x + 34

Father is 3 times her age , then equation is

x + 34 = 3(x + 6) ← distribute

x + 34 = 3x + 18 ( subtract x from both sides )

34 = 2x + 18 ( subtract 18 from both sides )

16 = 2x ( divide both sides by 2 )

8 = x

Daughter's age is 8 and father's age is 8 + 28 = 36

Speed  = 93km /h  and  72km/h

Answer: The taxi went a distance of 554.7km

Step-by-step explanation:

Speed  = Distance / Time

Distance covered in the first trip = Speed x Time

Time = 1 hour 54 min =1+0.9 hours  =1.9hours

=93km / h x 1.9 hours =176.7km

Distance covered in the second  trip = Speed x Time

Time = 5 hours 15min = 5+0.25hours  =5.25hours

=72km / h x 5.25hours =378 km

Total distance =176.7km+378 km

=554.7km

Answer:

C. 64

Hope that helps you

The value of the angle x is calculated as: ∠x = 64

Let the intersect of line SV and RT be Y

Sides RTU forms a triangle, and the sum of the interior angles of a triangle is 180.

Since RT = TU, ∠TRU  = ∠TUR = z

114 + z + z = 180

114 + 2z = 180

2z = 180 - 114

2z = 66

z = 66/2

z = 33

Line STU is a straight line and the angle of a straight line is 180. Thus:

114 + ∠STR  = 180

∠STR = 180 - 114

∠STR = 66

Also, sides SYT is forms a triangle and the sum of all interior angles of a triangle is 180. Thus:

66 + 31 + ∠SYT = 180

97 + ∠SYT = 180

∠SYT = 180 - 97

∠SYT = 83

But ∠SYT = angle RYV = 83

sides RYV form a triangle and the sum of all interior angles of a triangle is 180

33 + 83 + ∠x = 180

116 +  ∠x = 180

∠x = 180 - 116

∠x = 64

Read more about Missing Angle at: https://brainly.com/question/28293784

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