Ditch Digging Problem Doug Upp can dig a ditch in 3 hours. His
brother Phil could dig the same ditch in 5 hours. How long would it take to dig the ditch if both work together?

Answer: [tex]\$0.15[/tex]

Step-by-step explanation:

Given

Six apples and one pear cost [tex]\$1.07[/tex]

Also, three apples and six pears costs [tex]\$1.47[/tex]

Suppose [tex]x[/tex] and [tex]y[/tex] be the price of apple and pear. So, we can write the cost as

[tex]\Rightarrow 6x+y=1.07\quad \ldots(i)\\\Rightarrow 3x+6y=1.47\quad \ldots(ii)\\\text{solve (i) and (ii) we get}[/tex]

[tex]x=0.15,\ y=0.17[/tex]

The cost of an apple is [tex]\$0.15[/tex]

Answer:

20.39

Step-by-step explanation:

15% of 29.99 is 4.4985

so

29.99-4.5

=

25.49

subtract the 20%

20% of 25.49

=

5.1

lastly,

25.49-5.1

=

20.39

Answer:

Were you looking for the x and y intercepts? The question is very misleading.

If you were the x intercepts are (4-√2,0), (4+√2,0)

And the y intercept is (0,−14)

If you did not mean this in your question please specify what you meant.

Answer:

[tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]

Step-by-step explanation:

Plug in given values of a, b, and c into the quadratic formula and solve for x:

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

[tex]x=\frac{-8±\sqrt{8^{2}-4(-1)(-14) } }{2(-1)}[/tex]

[tex]x=\frac{-8±\sqrt{64-56 } }{-2}[/tex]

[tex]x=\frac{-8±\sqrt{8} }{-2}[/tex]

[tex]x=\frac{-8±2\sqrt{2} }{-2}[/tex]

[tex]x=4±-\sqrt{2}[/tex]

Therefore, the roots are [tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]

Answer:

x = −3.5

y = 11.5

Step-by-step explanation:

y = x + 15

y = −x + 8

[We know that y is 15 units more than x, and that −x is 8 units less than y. That can be combined into −x + 8 = x + 15 for the first variable (x), and for the second variable (y), y − 15 = −y + 8]

↓

In order to solve this, solve for the first variable in one of the equations, then substitute the result into the other equation.

↓

x = −[tex]\frac{7}{2}[/tex] = −3.5

y = [tex]\frac{23}{2}[/tex] = 11.5

Answer:

what's the question

Step-by-step explanation:

is there a photo you can post we need more info

Answer:

-8+(-1)=-9

2-7=-5

(-8)(-2)=16

-42=-7=false

Step-by-step explanation:

Answer:

(x+8)= 10 so 8 subtracted from 8 is zero and 8 subtracted from 10 is 2 so the

the answer is 2

Answer:

35

Step-by-step explanation:

Area of a triangle= B*H/2 so 14*5/2=35

Answer:

35

Step-by-step explanation:

I took the quiz

Answer:

-5 and -6

have a great day:)

Answer:

13.8 I believe is the answer

Answer:

14

Step-by-step explanation:

Answer:

answer: 14

Step-by-step explanation:

got it right

Answer:

The difference in amount = $430

Step-by-step explanation:

1- Annual contract:

The annual contract means a contract for 12 months. There is a month penalty for breaking the lease.  

This means that, if you left after 8 months, you will have to pay for 10 month.

Total paid = monthly payment * 10

Total paid = 535 * 10 = $5350

2- Month-to-month contract:

You will only paid for the 8 months you stayed,

Total paid = monthly payment * 8

Total paid = 615 * 8 = $4920

3- Getting the difference:

We can note that a month-month contract is a better option if you intend to stay for only 8 months

Difference = 5350 - 4920 = $430

Hope this helps :)

Answer:

$608.33 or $608.32645 not rounded

Step-by-step explanation:

A=P(1+r/n)^nt P=500 r=0.04 n=1 t=5

A=500(1+0.04/1)^1x5

A=500(1.04)^5

A=500(1.2166529)

A=608.32645

Answer:

Here, is the answer of comparison

Answer:

The second one

Step-by-step explanation:

Line segment BC will be an image of side AD using only a translation.

Option 2 is true.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

A figure ABCD is a square.

Now,

Since, ABCD is a square.

So, All sides of square ABCD are equal to each other.

Since, A translation occurs when a figure is moved from one location to another location without changing its size or shape.

Thus, Line segment BC will be an image of side AD using only a translation.

Therefore, Line segment BC will be an image of side AD using only a translation.

Learn more about the translation visit:

https://brainly.com/question/12861087

#SPJ2

Answer:

You use 2 cups of blue paint.

Step-by-step explanation:

In this case, you can use a rule of three to find the amount of blue paint you need when you use 4 cups of yellow paint given that you mix 1/3 cups of blue paint for every 2/3 cup of yellow paint:

2/3 cup of yellow paint    →    1/3 cups of blue paint

4 cups of yellow paint    →                 x

x=(4*1/3)÷2/3

x=4/3÷2/3

x=4*3/3*2

x=12/6

x=2

According to this, the answer is that you use 2 cups of blue paint.

Answer:

D

Step-by-step explanation:

Option A:

(3)¹ × (3)⁻¹⁰   =  (3)⁽¹⁻¹⁰⁾   = 3⁹

=

=

Option B :

(3)⁻¹ × (3) ¹⁰   = 3⁽¹⁰⁻¹⁾

= 3⁹

= 19683

Option C :

(3⁻⁴) × (3)⁷   = 3⁽⁷⁻⁴⁾

              = 3³

Option D :

3⁴ × 3⁻⁷ = 3⁴⁻⁷

= 3⁻³

=  

=

Therefore, option D is the answer.

Answer:

yes

Step-by-step explanation:

4<8*2+8

4<16+8

4<24

4 ≥2+1

4 ≥3

Answer:

20/5 = 4

Step-by-step explanation:

since each person will get 1/5 of the original 20 ounces, you would divide the pretzels into 5 equal portions of 4.

Answer:

1000000000000 is the answer.

Step-by-step explanation:

Answer:

89m ^2

Step-by-step explanation:

purple 8x13 = 104

triangle 1/2(5)(6) = 15

104-15 = 89

Answer:

f(-1)= 4

Step-by-step explanation:

Just plug -1 into all Xs

and split it into 2 seperate problems for the time being

[9 times (-1)^2] + [2(-1)-3]

-1 squared is positive 1  times the 9 is just 9

Plus  2 times -1 is -2 minus 3 is -5

combine the two seperate problems you have

9-5 the subtract and

f(-1)= 4

Answer:

There is nothing here

Step-by-step explanation:

Answer:

Step-by-step explanation:

a , b & c

Step-by-step explanation:

(−4, −4)

2. (−4, 6)

3. (6, 6)

4. (6, −4)

Answer:

There are 30 gifts altogether.

Answer:

33.4933333333, rounded, [tex]33.5x^{3}[/tex]

4/3x3.14x2x2x2=33.4933333333

Answer:

58.6

Step-by-step explanation:

pi*r^2*h/3 is the formula to find a cone's volume

3.14*2^2*14/3 is 58.613 (3 repeating)

round to the nearest tenth