Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought 4 notebooks and 13 thumb drives for $254. Lisa bought 5 notebooks and 8 thumb drives for $169. Find the cost of each notebook and each thumb drive.

Answer:

(2x+5)

Step-by-step explanation:

The Johnsons were using 11.5 tanks of gas per day.

To find out how many tanks of gas the Johnsons were using per day, we need to divide the total tanks used by the number of days. Based on the information given, the Johnsons used 23 tanks in 2 days. So, the tanks of gas used per day can be calculated as:

23 tanks / 2 days = 11.5 tanks of gas per day

Answer: I believe the answer is B

Step-by-step explanation:

Because 5 times x and then 5 times 6

That will give you 5x-30

Answer:  The correct answer is:   [D]:  " (x - 5) "

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Step-by-step explanation:

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First, let's try to "factor out" the given trinomial:

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   "  5x² -  5x  - 100 " ;

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We can "factor out" a "5" ;

since among the three (3) terms in this trinomial,

 We have:  5x² , 5x, and 100 ;

Note that not all of these 3 terms have a variable in them;

           → Consider the value;  "100" .

Note that the remaining two (2) terms have the same variable, "x" ;  

          →  5x² ; and 5x " ;

Note that each of these 2 (two) terms have a coefficient of "5" ;

Note that the other term, "100" ; is divisible "evenly"  by "5" ;

         → that is; when the term, "100", is divided by "5" ; the result is an integer;  {specially, " 100 ÷ 5 = 20 " .}.

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So:  Let us being by "factoring out" a "5" ;

Given the trinomial:  " 5x² - 5x - 100 " ;

         →5(x² - 1x - 20) ;  or:  5(x² - x - 20) ;

       → At this point, although this trinomial express is not completely

"factored out" ;

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Let us consider:  Do either of these two (2) factors appear among the answer choices given:

          1)  " 5" ;  or:  2)   "(x² - x - 20)" ??  No!

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Let us continue.

We have:  5(x² - x - 20) ;  

       →  We can write as:  " 5 (x² - 1x - 20) "  ;

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Now, let see if we can further "factor out" the:

       →  (x² - 1x - 20) ;

Now, note the " -20" ; and the " -1x " ;

      → What two (2) factors of:  "-20" ;  add up to "-1" ?  ;

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Let us consider the factor of "-20" :

-20,  1 :  -20 + 1  = -19 ;  -19 =? -1 ?  No.

 20, -1 :  20 + (-1) = 20 - 1 = 19 ;  19 =? -1 ? No.

 10, -2 :  10  + (-2) = 10 - 2 = 8 ; 8  =? -1 ?  No.

-10,  2 :  -10 + 2 =  -8 ;  -8  =? -1 ?  No.

 -4, 5  :  - 4 + 5 = 5 + (-4) = 5 - 4 = 1 ;  1  =? -1 ?  No.

 4, -5  :   4 + (-5) = -5 + 4 = -1 ;  -1 =? -1 ?  Yes!

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So,  we have +4  and -5 ;  

  (+4) * (-5) = -20 ;

  (+4) + (-5)  =  -5 + (+4) =  -5 + 4 = -1 ;

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So, we factor out:

 →  (x² - 1x - 20) ;

that is:  " (x² - x - 20) " ;

into:

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" (x + 4) (x - 5) " ;

and to factor out:  " 5x² - 5x - 100 " ;

we bring down the "5" ;  and write as:

 →  " 5 (x + 4) (x - 5) " ,

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So:

We have three (3) factors when the trinomial expression is "factored out":  

 →  5 ;  (x + 4) ;  and:  (x - 5) ;

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 → Among these three factors, the only one that appears as a given answer choice is:  

 →  " (x - 5) " ;

 →  which is our answer:

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 →   Answer choice:  [D]:  " (x - 5) " .

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Hope this answer is helpful to you!

      Best wishes!

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Answer:

The price per ticket for adults is $5

The price per ticket for students is $4

The price per ticket for child between the ages of 3 and 8  is $1

Step-by-step explanation:

Let

x -----> the price per ticket for adults

y -----> the price per ticket for students

z -----> the price per ticket for child between the ages of 3 and 8

we know that

The system of equations is

[tex]2x+y+z=15[/tex] ------> equation A

[tex]x=y+z[/tex] ------> equation B

[tex]x+4y+2z=23[/tex] -----> equation C

substitute equation B in equation A and solve for x

[tex]2x+(x)=15[/tex]

[tex]3x=15[/tex]

[tex]x=5[/tex]

Substitute the value of x in equation B and equation C

[tex]5=y+z[/tex] -----> equation B

[tex]5+4y+2z=23[/tex]

[tex]4y+2z=18[/tex] -----> equation C

Solve the system by graphing

Remember that the solution is the intersection point both graphs

Using a graphing tool

The solution is the point (1,4)

so

z=1, y=4

therefore

The price per ticket for adults is $5

The price per ticket for students is $4

The price per ticket for child between the ages of 3 and 8  is $1

Answer: D

Step-by-step explanation: In order to have no solution, each side must have the same number of the variable. D works out to be 20+6x=6x+16

Answer:

$2520

Step-by-step explanation:

18 times 20 = 360

360 time 7 = 2520

The total cost of the landscaping project for the backyard is found by multiplying the area of the backyard (360 square feet) by the cost per square foot ($7/square foot), which gives a total of $2520.

To find the cost of the landscaping project, we first need to calculate the area of the backyard. The area is found by multiplying the length and width of the space. So, the area of the backyard is 18 feet x 20 feet = 360 square feet.

Next, we know that the cost to re-landscape the yard is $7 per square foot. To find the total cost, we multiply the area of the yard by the cost per square foot. So, the total cost will be 360 square feet x $7/square foot = $2520.

Therefore, the total cost of the landscaping project for the backyard is $2520.

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Answer:

9?

Step-by-step explanation:

15-6=9 or 6+_=15 so 6+9=15 and your final answer is,9?

Answer:My guess might not be correct, but here it is anyway: On the online math textbook, there's this thing called Homework help. Click on that where this problem and a graph show up on your screen. Click on the hint box, then you'll see an answer box below that. Add up the three side lengths, and you should have your answer. Then, you'll need to to look up on how to calculate an area and perimeter on a triangle. And that's it! Hope this helped Rosa.

Step-by-step explanation:

Answer:

0.76

Step-by-step explanation:

19 divided by 25 is 0.76.

The diameter of a pizza with an area of 250 square inches is approximately 18 inches when calculated using the area formula for a circle and rounded to the nearest inch.

To find the diameter of a pizza given its area, we can use the formula for the area of a circle, A = πr², where A is the area and r is the radius of the circle. Given that the area is 250 square inches, we can solve for the radius and then find the diameter, which is twice the radius.

First, we rearrange the formula to solve for the radius: r = √(A/π). Plugging in the given area, we have r = √(250/π). Using π approximately equal to 3.14159, we find r ≈ √(250/3.14159) ≈ √(79.577) ≈ 8.92 inches. Therefore, the radius of the pizza is approximately 8.92 inches.

To find the diameter, we simply multiply the radius by 2: diameter = 2r ≈ 2(8.92) ≈ 17.84 inches. To the nearest inch, the diameter of the pizza is approximately 18 inches.

(x/-5)-1

one less = -1

quotient= division

Answer:

24 bags, 20 bags and 24 bags

Step-by-step explanation:

Students made a bag of nut mix by using = [tex]\frac{1}{8}[/tex] pound

They bought nut mix = 3 pounds

they will be able to make number of nut mix bags = [tex]\frac{3}{\frac{1}{8} }[/tex]

                                                                      = [tex]\frac{3\times 8}{1}[/tex]

                                                                      = 24 bags

Students made a bag of cherries by using = [tex]\frac{1}{4}[/tex] pound

They bought cherries = 5 pounds

they will be able to make number of cherries bags = [tex]\frac{5}{\frac{1}{4} }[/tex]

                                                                      = [tex]\frac{5\times 4}{1}[/tex]

                                                                      = 20 bags

Students make a bag of dried fruit by using = [tex]\frac{1}{6}[/tex] pound

They bought dried fruit = 4 pounds

they will be able to make number of dried fruit bags = [tex]\frac{4}{\frac{1}{6} }[/tex]

                                                                      = [tex]\frac{4\times 6}{1}[/tex]

                                                                      = 24 bags

Students would be able to make 24 bags of nut mix, 20 bags of cherries and 24 bags of dried fruit.

The students would be able to make 24 sacks of nut mix, 20 sacks of cherries and 24 sacks of dried fruit.

An equation is an expression that shows the relationship between two or more variables and numbers.

For 3 pounds of nut mix:

Number of snack bag = 3 pounds / (1/8 pound) = 24 sacks

For 5 pounds of cherries:

Number of snack bag = 5 pounds / (1/4 pound) = 20 sacks

For 4 pounds of dried fruit:

Number of snack bag = 4 pounds / (1/6 pound) = 24 sacks

The students would be able to make 24 sacks of nut mix, 20 sacks of cherries and 24 sacks of dried fruit.

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Answer:

24 times 4 = 96

Answer: 96 ice cream sandwiches

Step-by-step explanation:

24 ice cream sandwiches equals 1 hour

24 ice cream sandwiches x 4 hours = 96 ice cream sandwiches

Hope this helps!

Answer:

the 4th one

Step-by-step explanation:

x increase by 3 and y increase by 12.

ANSWER: the answer would be 4

Step-by-step explanation:

it is  (-3,12) (-6,24) (-9,36) i know because it is going by fours and you have a number you can multiply it by or divide it by

24.35°C is the answer

Final answer:

The temperature on Monday was 24.35°C.

Explanation:

To find the temperature on Monday, we need to subtract the change in temperature from the temperature on Sunday. The temperature on Monday was 32.6°C and the change in temperature was -8.25°C.

Therefore, the temperature on Monday was 32.6°C + (-8.25°C) = 24.35°C.

Answer:

y-intercept (0,11/5)

x-intercept (11/2,0)

Step-by-step explanation:

The y-intercept is obtained when the x-coordinate equals 0 (x=0)

so the y-intercept is (0,11/5)

The x-intercept is obtained when the y-coordinate equals 0 (y=0)

In this case

0 = -(2/5)x+11/5---->(2/5)x = 11/5 ----> x=(5*11)/(5*2) = 11/2

So the x-intercept is (11/2,0)

Answer: 12

Step-by-step explanation:

60 divided by 5 is 12.

Hope this helps!

Answer: $12

Step-by-step explanation:

60/5=12

Answer:

D

Step-by-step explanation:

Its C because as you can tell its not a negative , so D is incorrect the its not a because there is a relationship and c is incorrect because Y is less than X which is  2 more than X and that is how i got D

Answer: 200

it would be 200 becuase it would orignally be 186 and since it says "rounded the nerest hundred estimated" you would round up in this case and get 200

Good morning☕️

______

Answer:

200

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Step-by-step explanation:

848 - 662 = 186

186 rounded to nearest hundred is 200.

:)

Hey!

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We Know That:

1 inch = 40 miles

200 / 4 = 5

200mi. = 5 x 40mi. (5 x 1mi on scale)

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Solution:

40 / 4 = 10 (not to scale)

1 / 4 = 0.25 (error to scale)

If the scale is 0.25 then it's half way while rounding.

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Answer:

[tex]\large\boxed{B.~0.5~in.}[/tex]

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Hope This Helped! Good Luck!

Answer: Is not A. Its B.

Step-by-step explanation:

I chose A and it is wrong. I would choose B.

400 * 0.5 = 200

400 * 0.25 = 100

Answer: no

Step-by-step explanation:

She needs a little less than 4 pounds to make 12 turkey burgers because 1/3 times 12 is about 3.99 pounds. But she only has 3 3/8 pounds which is about 3.375 pounds.

Jasmine does not have enough meat to make 12 turkey burgers as she has 3.375 pounds of turkey while 4 pounds of turkey is needed.

The unitary method involves the process of finding the value of a single unit and based on this value, we can find the value of the required number of units.

Given is a girl named jasmine who has 3 3/8 pounds of turkey meat. She is making 1/3 pound turkey burgers.

Now -

1 burger requires → 1/3 pounds of turkey

12 burgers will require → 12 x 1/3 → 4 pounds of turkey

Turkey available with Jasmine → 3 3/8 pounds →  3.375 pounds of turkey

Hence, Jasmine does not have enough meat to make 12 burgers.

Therefore, Jasmine does not have enough meat to make 12 turkey burgers as she has 3.375 pounds of turkey while 4 pounds of turkey is needed.

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Use I = prt

1200 = 8000r(1)

1200/8000 = r

0.15 = r

15% = r

Answer:she only buy 4 tokens

Step-by-step explanation:

We know that Binh have 15 tokens, and she won 11 tokens. So, she just need buy 4 tokens.

She buys 4 games tokens during playing games.

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

Number of tokens she won = 11

Number of tokens she spent= 15

Number of tokens she buy = Number of tokens she spent - Number of tokens she won

Number of tokens she buy = 15 - 11 = 4

Hence "She buys 4 games tokens during playing games".

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Answer:

I have no idea what this is sorry bro

Step-by-step explanation:

Answer:

1.9 x 10^6

Step-by-step explanation:

2094800-158975=1935825

move the decimal over 1.9

count how many times 6

1.9 x 10^6

Answer:

10 miles long i do believe

The distance from the mall to the park is approximately 12.2 miles to the nearest tenth of a mile.

To find the distance from the mall to the park, we can use the Pythagorean theorem since the path forms a right triangle. The legs of the triangle are the distances from the mall to the city center (2 miles east and 5 miles north) and from the park to the city center (5 miles west and 5 miles south).

Let's denote the distance from the mall to the park as d. Then, we can set up the equation:

[tex]\[ (2 + 5)^2 + (5 + 5)^2 = d^2 \][/tex]

Solving this equation:

[tex]\[ (7)^2 + (10)^2 = d^2 \]\[ 49 + 100 = d^2 \][/tex]

[tex]\[ 149 = d^2 \][/tex]

Now, we take the square root of both sides to find d:

[tex]\[ d = \sqrt{149} \][/tex]

Using a calculator, we find:

[tex]\[ d \approx 12.2 \][/tex]

Answer:

3 and 5

Step-by-step explanation:

use the guess and check method form the numbers 1, 3, 5 since only the square of these 3 numbers are under 34.

The two sets of consecutive odd integers whose squares sum to 34 are 3 and 5, and -5 and -3.

To identify the two consecutive odd integers whose squares sum up to 34, we'll first understand that consecutive odd integers can be represented as x, and x+2 (since every other integer is odd). The squares of these integers should equal 34.

This gives us the equation: x^2 + (x+2)^2 = 34. Simplifying this, we get: x^2 + x^2 + 4x + 4 = 34, 2x^2 + 4x - 30 = 0. This simplifies further to x^2 + 2x - 15 = 0. Factoring this equation gives us (x-3)(x+5) = 0. Therefore, the solutions are x = 3 and x = -5.

Therefore, the two pairs of consecutive odd integers that satisfy the conditions are 3 and 5 or -5 and -3.

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Answer:

The domain of f(x) = √[(1/3)x +2] is [-6, ∞).

Step-by-step explanation:

GIven f(x) = √[(1/3)x +2], you have to find the values for which the the expression inseide the square will be possitive (for negative values the function is not defined for Reals.

(1/3)x + 2 = 0 ⇒ (1/3)x = -2 ⇒ x = -2/(1/3) ⇒ x = -6

Finally the domain of f(x) is (-6, ∞).

Answer:

✔️ X [tex]\geq[/tex] -6

Answer:

She will buy 4 bags of apples, because every bag has 4 apples, and if you divide the number of apples she needs by the number of apples per bag, you will get 4. 16/4=4

Step-by-step explanation: