Pls help!!
y = x + 2
2x - y = -4
Solve the system of equations using substitution.
A) (-2,-4)
B) (-2,0)
C) (-6,-4)
D) (-6,8)
E) (0,-2)

It would take [tex]1\frac{9}{91}[/tex] hour to complete the entire trip.

Step-by-step explanation:

Given,

Distance covered = [tex]30\frac{1}{3}[/tex] = [tex]\frac{91}{3}[/tex] miles

Time taken =[tex]\frac{1}{3}[/tex] hour

We know that;

Distance = Speed * Time

[tex]\frac{91}{3} = Speed*\frac{1}{3}[/tex]

Multiplying both sides by 3

[tex]3*\frac{91}{3} = Speed*\frac{1}{3}*3[/tex]

91 = Speed

Bob was driving at 91 miles per hour.

Now,

Distance to cover = 100 miles

Time required = x

Distance = Speed * Time

[tex]100=91x\\91x=100[/tex]

Dividing both sides by 91

[tex]\frac{91x}{91}=\frac{100}{91}\\x=1\frac{9}{91}[/tex]

It would take [tex]1\frac{9}{91}[/tex] hour to complete the entire trip.

Keywords: fraction, distance

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Answer:

C:x=30:both angles measure 114 degrees

Step-by-step explanation:

in 2 parallel lines with a transversal, the marked angles are alternate exterior angles, which means that both angles are congruent(equal)

ur equation is: 2x+54=4x-6

60=2x

x=30

we have now eliminated options a and b

CHECK:

2*30+54=60+54=114

4*30-6=120-6=114

114=114

Answer: C.

Step-by-step explanation: if you count the you can see that G = (2, -1).

Answer:

no answer

Step-by-step explanation:

x^2+4x+5=0

(x+2)^2+1=0

(x+2)^2=-1

this is impossible,

so this equation has no answer

Answer:

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

For the first circle 2 x 2in = 4 to find diameter

4 x 3.14 = 12.56

6in x 2 = 12

12 x 3.14 = 37.68

simplify

12.56/37.68

6.28/18.84

3.14/9.42

So the answer is 1/3 since 3.14 x 3 = 9.42

Also since the radius is 3 times longer

Answer:

1/3

Step-by-step explanation:

Answer:

The given expression simplifies to 84x - 16y - 35

Step-by-step explanation:

The given equation is 2 ( 14x - 3y + 28x - 5y - 17.5)

The given equation simplifies to

28x - 6y + 56x - 10y  - 35

which is equal to

84x - 16y - 35

The expression 2 (14x - 3y + 28x + 12.2 - 5y - 17.5) simplifies to 84x - 16y - 10.6.

The expression that is equivalent to 2 (14x - 3y + 28x + 12.2 - 5y - 17.5) can be simplified using the distributive property and combining like terms.

First, distribute the 2 to each term inside the parentheses:

2(14x - 3y + 28x + 12.2 - 5y - 17.5) = 28x - 6y + 56x + 24.4 - 10y - 35

Next, combine like terms:

28x + 56x = 84x

-6y - 10y = -16y

24.4 - 35 = -10.6

So, the simplified expression is 84x - 16y - 10.6.

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Answer:

[tex]x = - 5[/tex]

or

[tex]x = 2[/tex]

Step-by-step explanation:

We want to solve ;

[tex] {12}^{ {x}^{2} + 5x - 4} = {12}^{2x + 6} [/tex]

We equate the exponents, because is the same on both sides.

[tex] {x}^{2} + 5x - 4 = 2x + 6[/tex]

We group and rewrite in standard form to get:

[tex] {x}^{2} + 5x - 2x - 4 - 6 = 0[/tex]

[tex]{x}^{2} + 3x- 10= 0[/tex]

[tex] {x}^{2} - 2x + 5x - 10 = 0[/tex]

[tex]x(x - 2) + 5(x - 2) = 0[/tex]

[tex](x + 5)(x - 2) = 0[/tex]

[tex]x = - 5 \: or \: x = 2[/tex]

The solutions are x = 2 and x = -5.

To solve the equation [tex]12^{x^{2} +5x-4}[/tex] = [tex]12^{2x+6}[/tex], we first note that since the bases are the same, we can equate the exponents:

⇒ x² + 5x - 4 = 2x + 6.

Next, we move all terms to one side to form a quadratic equation:

⇒ x² + 5x - 4 - 2x - 6 = 0

Simplifying this gives us:

⇒ x² + 3x - 10 = 0

We can now solve this quadratic equation using the quadratic formula, which is defined as:

⇒ x = (-b ± √(b² - 4ac)) ÷ 2a

For our equation, a = 1, b = 3, and c = -10. Substituting these values into the quadratic formula:

⇒ x = (-3 ± √(3² - 4 × 1 × (-10))) ÷2 × 1

⇒ x = (-3 ± √(9 + 40)) ÷ 2

⇒ x = (-3 ± √49) ÷ 2

⇒ x = (-3 ± 7) ÷ 2

This gives us two solutions:

⇒ x = (4) ÷ 2 = 2

⇒ x = (-10) ÷ 2 = -5

So, the solutions are x = 2 and x = -5.

The sale price of the top after the 50% off discount is $8.44.

To calculate the sale price of the top with a 50% discount, follow these steps:

Step 1: Find the discount amount. The discount amount is 50% of the original price. To calculate this, multiply the original price by 0.50 (50% as a decimal):

Discount amount = 16.88 * 0.50 = 8.44

Step 2: Subtract the discount amount from the original price to find the sale price:

Sale price = Original price - Discount amount

Sale price = 16.88 - 8.44 = 8.44

When the customer applies the 50% off discount, they will pay $8.44 for the top, which is half of the original price of $16.88. This means they are getting a 50% discount on the original price.

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Answer:

[tex]b_n=\dfrac{2}{3}\cdot (9)^{n-1}[/tex]

Step-by-step explanation:

Given the geometric sequence

[tex]a_1=\dfrac{2}{3}\\ \\a_n=3a_{n-1},[/tex]

then

[tex]a_1=\dfrac{2}{3}\\ \\a_2=3a_1=3\cdot \dfrac{2}{3}=2\\ \\a_3=3a_2=3\cdot 2=6\\ \\a_4=3a_3=3\cdot 6=18\\ \\a_5=3a_4=3\cdot 18=54\\ \\...[/tex]

Hence,

[tex]b_1=a_1=\dfrac{2}{3}\\ \\b_2=a_3=6=\dfrac{2}{3}\cdot 9\\ \\b_3=a_5=54=\dfrac{2}{3}\cdot 9^2\\ \\...[/tex]

Thus, the explicit formula is

[tex]b_n=\dfrac{2}{3}\cdot (9)^{n-1}[/tex]

Answer:

There are 38 vocab. words in both weeks

Step-by-step explanation:

There are a few steps to this problem:

First, we know that there are 15 vocab. words in week 1.

Then, in week 2 there are 8 more words than in week 1. So that means 15+8 which equals 23.

Finally, we know that there were 15 words in the first week, and 23 in the second week. So now how many words were there in both weeks? To answer that, you add the number of words in the first week, to the number of words to the second week.

23 + 15 = 38 words total in both weeks

The solution to the equation 2.4y=13.75 is found by isolating the variable y, which gives us y = 5.729167.

The question asks for the solution to the equation 2.4y =13.75. To solve this equation, we simply need to isolate the variable y. This can be done by dividing both sides of the equation by 2.4.

So, now the equation becomes y =13.75 ÷ 2.4.

After performing the division, you get y = 5.729167. Thus, y=5.729167 is the solution to the equation 2.4y=13.75.

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Answer:

- 3a + 6

Step-by-step explanation:

subtract and add like items together like

- 4a + a = -3a

b-b= 0

and

9-3 = 6

so the answer is

-3a +6

Answer:

22.50

Step-by-step explanation:

the ratio is 2:5 so if julie got 45 then pat would get half of what julie got

45 divided by 2

Answer:12.2%

Step-by-step explanation:

Her total paycheck minus her salary = the commission amount

So

6500 - 1000 = 5500

So....her commission as a percentage of sales  = 5500/ 45000 = about 12.2%

Yo sup??

To solve the 31st one just imagine and add all the cubes.

Start from the left side and keep on counting in your mind.

You will end with 25 cubes

For the 32nd one you can just draw a chart to know it.

Since this man has no bro or sis he is a single child.

The man in the picture is himself.

He is pointing to his picture and saying that 'that guys dad is my dad' and since he's a single child therefore its him itself.

So the answer is that man itself.

For the last one again try to draw a chart and connect the dots with the information.

So Lakisha had a bull dog. Since she has a bull dog she can't have Paul as her brother because paul is the brother of that girl who has her pet as horse.

This means paul is the brother of either Angela or Jessica. But its given that the brother of Angela is Ken therefore Paul is the brother of Jessica.

So the relations are

Lakisha-Bull dog, Stephen

Angela-Ken,XXXXX

Jessica-horse,Paul

Hope this helps.

Answer: you can get 8 gum balls

Step-by-step explanation:

Answer:

106

Step-by-step explanation:

Given:

Thirteen fewer than three times his thinking number is 305.

Question asked:

What number is Tomás thinking ?

Solution:

Let Toma's thinking number be [tex]x[/tex]

As 13 fewer than 3 times his thinking number is 305.

The equation will be:

[tex](3 times of x) - 13 = 305[/tex]

[tex]3x - 13 = 305[/tex]

Adding both side by 13

[tex]3x = 318\\[/tex]

Dividing both side by 3

[tex]x = 106[/tex]

Thus,  Tomàs was thinking of a number is 106

Answer:

Step-by-step explanation:

true dat

Answer: 8

Step-by-step explanation:

32/2 (50%)  = 16

32/4 (25%)  = 8

Add these together and you'll get 24. Subtract that from the initial amount and you'll have 8.

Answer:

4 + 9i

Step-by-step explanation:

a complex number by definition must have a real and imaginary components

imaginary components are denoted by the letter i, where i = √(-1)

the only choice with a real and imaginary components is 4 + 9i

Answer:

4 +9i

Step-by-step explanation:

trust me bro

Answer:

Therefore, the constant multiple of liters in jug to the weight in kilogram is 0.62(approx)

Step-by-step explanation:

Given, Madison is carrying a 11.3 liter jug of sport drink that weights  7 kg.

Let the constant term be x

According to the problem,

11.3 × x = 7

⇔[tex]x =\frac{7}{11.3}[/tex]

⇔x = 0.62

Therefore, the constant multiple of liters in jug to the weight in kilogram is 0.62(approx)

Answer: 200

Step-by-step explanation:

120 divided by 3/5 is the same thing as 120 times 5/3.

So 120 x 5 = 600

And 600 divided by 3 is 200

The result of the division 120 divided by 3/5 is : 200.

Here, we have,

given that,

What is 120 divided by 3/5

we know that,

120 divided by 3/5 is the same thing as 120 times 5/3.

i.e. 120 ÷ 3/5

=> 120 × 5/3

now, we know that,

So 120 x 5 = 600

=> 600/3

And 600 divided by 3 is 200.

so, we get,

Hence, The result of the division 120 divided by 3/5 is : 200.

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Answer:

25

Step-by-step explanation:

2 x 2 x 2 x 2 + 3 x 3  

4 x 2 x 2 + 3 x 3

8 x 2 + 3 x 3

16 + 3 x 3

16 + 9

25

Answer:

25

Step-by-step explanation:

2^4+3^2

2^4=2*2*2*2=16

3^2=3*3=9

16+9=25

Answer:

9.84 times

Step-by-step explanation:

246÷25= 9.84

Answer:

9, or more specifically, 9.84

Step-by-step explanation:

25 x 9 = 225.

25 x 10 = 250, which is too much.

Hope this helps!

Answer:

4200

Step-by-step explanation:

Final answer:

To find the total number of heartbeats in an hour, multiply the heartbeats per minute by 60. For Judy, her heart beats around 4200 times in an hour.

Explanation:

Judy's heart beats 70 times a minute. To calculate how many times her heart beats in an hour, you can use the following formula:

Heartbeats per hour = Heartbeats per minute x 60 minutes

Heartbeats per hour = 70 x 60 = 4200 times

Final answer:

To find the radius of the volleyball given its surface area, use the formula for the surface area of a sphere (4πr²) and solve for r. The approximate radius of the volleyball would be 4.25 inches based on a surface area of 227 square inches.

Explanation:

The surface area of a sphere formula is 4πr², where r is the radius. Given that the volleyball's surface area is about 227 square inches, we can find the radius by rearranging the formula as follows:

Answer: C. 5

Step-by-step explanation:

Answer:

c.5

Step-by-step explanation:

16 = 4x -4

Collect like terms

16 + 4 = 4x

20 = 4x

Divide both sides by 4

20/4 = x

Therefore x = 5

Step-by-step explanation:

3/5+4/7

= 41/35

that's the answer