multiply then elimination
2x+y=3
-x+3y=-12​

Answer:

1

Step-by-step explanation:

The biggest common factor number is the GCF number. So the greatest common factor 21 and 32 is 1. Also check out the Least Common Multiple of 21 and 32

The greatest common factor of 21 and 32 is 1.

Greatest common factor or GCF of two numbers is defined as the one common factor of the two given numbers which is the greatest of all the common factors.

GCF is also usually known as Highest Common Factor (HCF).

We have to find the greatest common factors of 21 and 32.

One of the method to find GCF is by prime factorization.

First prime factorize the two numbers. The product of the commonly shared prime factors will be the GCF.

If they don't share any common prime factors, then the GCF will be 1.

21 = 3 × 7

32 = 2 × 2 × 2 × 2 × 2

There are no common prime factors, GCF will be 1.

Hence, the greatest common factor of 21 and 32 is 1 since there are no common prime factors.

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Answer:

D

Step-by-step explanation:

I have learned this in the past and did some research

Answer:

x=7

Step-by-step explanation:

You can find the complete solution in the given attachment

I hope it helped you

Hey there!

IDENTIFYING the LIKE TERMS OF….

5x, 6, 8yz, & -2w

Unfortunately, you don’t have any like terms because NONE of the terms don’t have anything alike with them.

Here’s examples of like terms (we will use the values you have listed above)

• 5x & -4w would give you 1x or simply x

• 6 - 2 would give you 4

• 8yz - 4yz would give you 4yz

• -2w - 1w would give you -3w

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

motivation of the Day

wish you the same

Answer:

$450

Step-by-step explanation:

a garden table costs $84 more than the bench,

therfore, $900-84 = $900

$900/2 = cost of bench

$450 = cost of bench

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Answer:

56811

Step-by-step explanation:

This is the answer as when you do the math it checks out

Answer:

  1.6 N/kg

Step-by-step explanation:

The units of gravitational field strength are newtons per kilogram. The joule is a derived unit equivalent to a newton·meter.

Then the field strength is ...

  newtons/kg = (1.2 N·m)/((1 m)(0.75 kg)) = 1.6 N/kg

Answer:

2808 families

Step-by-step explanation:

23400/100 = 234

234*12 = 2808

A.) 3^2+4^2=5^2

9+16=25

This is correct

B.) 2.5^2+5.6^2=37.61

6.4^2 = 40.96

This is not correct

C.) 9.6^2+12.8^2=256

16^2 = 256

This is correct

Answer:

Having low blood pressure.

Step-by-step explanation:

Blood pressure is based on the heart, and I learned this in health class

Hope this Helps

Answer:

c

Step-by-step explanation:

Answer:

Option A, x - 5 + 1

Step-by-step explanation:

Step 1:  Convert sentence into an expression

Five less than the quantity of a number plus one

  (quantity..x - 5)                                          +      1

x - 5 + 1

Answer:  Option A, x - 5 + 1

1. A million has 7 digits. The number shown has 7 digits so the first number is in the millions place. Answer: 4

2. use subtraction

36-12 = 24

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The required inequality that represent the given scenario is :

[tex]\qquad \tt \dashrightarrow \:x \geqslant 4[/tex]

where, x is height in feet.

Let's interpret the information given:

Let's set 'x' as the hypothetical height of a person

Therefore the inequality should be x ≥ 4

   ⇒ we put x as greater than 4 since the person must be taller than 4

     feet to ride the roller coaster

   ⇒ we also put the '_' under the inequality to signify that the person

        can equal 4 feet in height and still be eligible to ride the roller

        coaster

Hope that helps!

The polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 is; -3x² -4x +7.

Let the polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 be represented by P.

In essence;

By subtracting 3x² +4x + 7 from both sides of the equation to obtain the value of P; we have;

Ultimately, P = -3x² -4x +7.

Read more on polynomials;

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Answer:

12 cm^3

Step-by-step explanation:

Volume of one cube is 1/2 * 1/2 * 1/2 = 1/8 cm^3Volume of prism is 1/8 * 96 = 12 cm^3

Answer:

x₁=1; x₂=-1; x₃=-0.5; x₄=-2.

Step-by-step explanation:

[tex]2x^4+5x^3-5x-2=0; \ < = > \ 2(x^4-1)+5x(x^2-1)=0; \ < = > \ 2(x^2+1)(x^2-1)+5x(x^2-1)=0; \ < = >[/tex]

[tex](x^2-1)(2x^2+2+5x)=0; \ < = > \ (x^2-1)(2x^2+5x+2)=0; \ = >[/tex]

[tex]= > \ \left[\begin{array}{ccc}x=1\\x=-1\\x=-\frac{1}{2} \\x=-2\end{array}[/tex]

Answer:

[tex]\sf 5x+6y=12[/tex]

Step-by-step explanation:

[tex]\sf y=-\dfrac{5x}{6}+2[/tex]

Multiply both sides by 6:

[tex]\implies \sf 6 \cdot y=6(-\dfrac{5x}{6}+2)[/tex]

Expand:

[tex]\implies \sf 6y=-5x+12[/tex]

Add 5x to both sides:

[tex]\implies \sf 5x+6y=-5x+12+5x[/tex]

[tex]\implies \sf 5x+6y=12[/tex]

Answer:

Non-Linear Function

Step-by-step explanation:

The answer is Non-Linear. Hope this helps :)

For  a height of 4.3m and bases of 9.2 m and 3.2m, the area of the trapezoid  is mathematically given as

A=26.7

Generally, the equation for the trapezoid   is mathematically given as

A=0.5*(a+b)*h

Therefore

A=0.5*(3.2+9.2)*4.3

A=26.7

In conclusion,area of the trapezoid

A=26.7

Read more about Arithmetic

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Answer: y = -1

Step-by-step explanation:

Any vertical line's equation is 'y ='

You would get -1 by looking at the line's position on the y-axis

Hope that helps!

Answer:

The answer is the first one

Step-by-step explanation:

The first one is correct because the probaility of you getting some biyatches  is  zero.

Answer:

[tex]\Longrightarrow:\boxed{\sf{h=14}}[/tex]

Step-by-step explanation:

Isolate the term of h from one side of the equation.

Use the distributive property.

Distributive property:

→ A(B+C)=AB+AC

First, multiply expand.

⇒ -5(3h-8)

⇒ -5*3h=-15h

⇒ -5*8=40

Rewrite the problem.

→ -15h+40

⇒ 7h-15h+40=-72

⇒ 7h-15h=-8h

→ -8h+40=-72

Subtract by 40 from both sides.

⇒ -8h+40-40=-72-40

Solve.

⇒ -72-40=-112

⇒ -8h=-112

Then, you divide by -8 from both sides.

⇒ -8h/-8=-112/-8

Solve.

Divide the numbers from left to right.

→ -112/-8=14

[tex]\Longrightarrow: \boxed{\sf{h=14}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

[tex]2\frac{1}{8}[/tex]

Step-by-step explanation:

On the 3 days that the the worker served less than a cup of food, he served 7/8 of a cup, and 5/8 of a cup twice. Now we add these.

[tex]\frac{7}{8} +\frac{5}{8}+ \frac{5}{8} =\frac{17}{8}\\ \\\\\frac{17}{8} = 2\frac{1}{8}[/tex]

Alright, Nancy, let's do this.

If dimes are d, then quarters is d + 3.

10d + 25(d + 3) = 1090

I'm dealing with cents to get rid of the pesky decimal.

10d + 25d + 75 = 1090

                    35d = 1015

                        d = 29

Since quarters = d + 3, there are 32 quarters and 29 dimes.

Hope this helps!

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