10. Two school groups went shopping for
camping supplies at the same store. The
first group spent $299 on 7 flashlights and
11 sleeping bags. The second group spent
$304 on 8 flashlights and 11 sleeping bags.
Write and solve a system of equations
using elimination to find the price of each
flashlight and each sleeping bag.

Answer:

x=\frac{64}{5}=12\frac{4}{5}

Step-by-step explanation:

1. Simplify the expression

\frac{-1}{4}\cdot\left(x+\frac{12}{3}\right)=\frac{+\left(-21\right)}{5}

Find the greatest common factor of the numerator and denominator:

\frac{-1}{4}\cdot\left(x+\frac{\left(4\cdot3\right)}{\left(1\cdot3\right)}\right)=\frac{+\left(-21\right)}{5}

Factor out and cancel the greatest common factor:

\frac{-1}{4}\cdot\left(x+4\right)=\frac{+\left(-21\right)}{5}

Multiply the fractions:

\frac{\left(-1\cdot\left(x+4\right)\right)}{4}=\frac{+\left(-21\right)}{5}

Expand the parentheses:

\frac{\left(-x-4\right)}{4}=\frac{+\left(-21\right)}{5}

Break up the fraction:

\frac{-x}{4}+\frac{-4}{4}=\frac{+\left(-21\right)}{5}

Find the greatest common factor of the numerator and denominator:

\frac{-x}{4}+\frac{\left(-1\cdot4\right)}{\left(1\cdot4\right)}=\frac{+\left(-21\right)}{5}

Factor out and cancel the greatest common factor:

\frac{-x}{4}-1=\frac{+\left(-21\right)}{5}

Answer:

The answer is x= 7 2/15. So the third one.

Step-by-step explanation:

Hopefully, this was helpful. :)

Answer:

C

= (-1.75,9)

Step-by-step explanation:

Answer:

x=30 ; y=60 ; z=120.

Step-by-step explanation:

(we can solve it in a system.)

z+2x=180 => z=180-2x
y+4x=180 => y=180-4x

y+z=180

4x+2x=180 => 6x=180 => x=30

<=>

z=180-2*x=180-2*30=180-60=120

y=180-4x =180-4*30=180-120=60

Step-by-step explanation:

Step-by-step explanation:

1) the suggested function in the condition is hyperbola, that means

[tex]w_{min}(x)=w_{min}(x_{max}) \ and \ w_{max}(x)=w_{max}(x_{min});[/tex]

2) using this

[tex]w_{min}(x)=w_{min}(\frac{1}{7} )=7;[/tex]

[tex]w_{max}(x)=w_{max}(\frac{1}{12})=12.[/tex]

Answer:

Bank A

interest = 1500*2*0.18= 540$

total owed = 1500+540= 2040$

Bank B

compound interest= 1881.6

total owed = 1500+1881.6= 3381.6$

Step-by-step explanation:

Answer:

The area of a rectangle is 17 1/2 in and it’s shorter side is 3 1/2in.draw a diagram that shows this information. What is the length of the longer side

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

(6x-2) + 20 = 90

6x-2 = 70

6x = 72

72 / 6 = 12

x = 12

Answer:

Ok, so to find the volume of a sphere, the volume is 4/3 (3.14 which is pie) times the radius cubed so r^3

so the radius of this sphere is 2 because 4-2=2

Step-by-step explanation:

so now we do 4/3 times 3.14 times 2^3 power=

now first we multiply 4/3 times 2 to the 3rd power bc we dont need to multiply pie (3.14) your answer would be 10.66667 so its 10.66667 pie (3.14) so round 10.66667 it would just be 10.7 because the 7 round up the 6 to a 7. Hope this helps!

The percent of the cost of the printer Carl paid is 16.45%

Since John, Carl and Jason each paid $15, $25, and $112 respectively, the total cost of the printer is T = $15 + $25 + $112 = $152

Since Carl paid $25, we need to find the percent of the total amount Carl paid.

So, percent Carl paid = amount Carl paid/total cost × 100 %

Since amount Carl paid = $25 and total cost = $152,

Substituting the values of the variables into the equation, we have

percent Carl paid = amount Carl paid/total cost × 100 %

percent Carl paid = $25/$152 × 100 %

percent Carl paid = 0.1645 × 100 %

percent Carl paid = 16.45%

The percent of the cost of the printer Carl paid is 16.45%

Learn more about percent here:

https://brainly.com/question/24877689

Answer:

Polygon B

Step-by-step explanation:

If you look at polygon B although it looks bigger it's still the same as A

n=3

Step-by-step explanation:

24=3n-15

9=3n

3=n

Answer:

n = 13

Step-by-step explanation:

24 = 3(n - 5)

divide each side by 3

8 = n - 5

add 5 to each side

13 = n

check your work

24 = 3(13 - 5)

24 = 3(8)

24 = 24

Answer:

B

Step-by-step explanation:

If you did 1925 divided by 142.45 you get 13.51 so if you round it you get 14

Answer:

so list a is 4 +4y is = 4y-4

4y+1 =5= 1+4y=5

4(y-1)=4(y+1)

Step-by-step explanation:

Answer:

List A: 4+4y=24

4(y-1)=16

4y+1=21

List B: 4y-4=16

4(y+1)=24

1+4y=21

so match 1A with 2B

2A and 1B

3A and 3B

Answer:

the answerr is i9 dont know haha bum

Step-by-step explanation:

hahay

Answer:

B. 2x + y = 8

Step-by-step explanation:

y = -2x + 5 matches with 2x + y = 8, as they have same slope of "-2".

There you go, it is the second equation with y = -2x + 5.

Answer:

42%

Step-by-step explanation:

232 divided by 550= 0.42

0.42=42%

Answer:

4 mph

Step-by-step explanation:

If you divided 32 by 8 you get 4.

Answer:

So estimate.

Really depends on what needs to be estimated, the answer or the overall equation.
So doing the real one first.
283/11 = 25 8/11

You can’t have “part” of a student so rounding this you can go up since 8 is more then half of 11

So 26 students

If you were to round the overall equation then you’d get
280 / 10 which is 28 students per class

So two options.

Answer:

Step-by-step explanation:

V = Bh

V = 15(10)

V = 150 cm3

Answer:

  2.5 cm

Step-by-step explanation:

Put the given values into the area formula, and solve for height.

  A = 1/2bh

  5 cm² = 1/2(4 cm)h . . . . . . . . . . . . . fill in the values

  (5 cm²)/(2 cm) = h = 2.5 cm . . . . . divide by the coefficient of h

The height is 2.5 cm.

Answer:

help me please

Step-by-step explanation:

pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls

Answer:

See below

Step-by-step explanation:

Problem 4

[tex]H_0:\mu=145\\H_a:\mu>145[/tex]

The null hypothesis, [tex]H_0[/tex], comes from the fact that the nurse initially thinks that the average height of 7th graders is equal to 145 cm.

The alternative hypothesis, [tex]H_a[/tex], comes from the fact that the average height may be greater than 145 cm since the nurse measured the average height to be 147 cm from the random sample.

Problem 5

[tex]H_0:\mu\geq273\\H_a:\mu<273[/tex]

The null hypothesis, [tex]H_0[/tex], comes from the fact that the manufacturer initially thinks that the mean lifetime of a certain type of batteries is at least 273 hours.

The alternate hypothesis, [tex]H_a[/tex], comes from the fact that the sample taken may show that it's actually less given a sample mean of 270.5 hours.

Problem 6

The mass population data set would be most suitable because the average score of a test comes from all those who have taken the test while the sample is the class with 25 students. That sample represents the population of all those that have taken the test.

Problem 7

Because it would take a lot of time and money to check every single child in Africa, it would make the most sense to use the sample data set where your samples come from each village and those samples have the children from each village.

Problem 8

This is a population characteristic because the sample that Sarah took for the average number of children per family represents the entire population.

Problem 9

This is a sample characteristic because the size of the sample was clearly large, this was a study, and other claims made.

Answer:

108

Step-by-step explanation:

450*0.24

Step-by-step explanation:

2 equations with 2 variables.

either we use 1 equation to express 1 variable by the other and bring this into the second equation to solve for the second variable.

or we do equation arithmetic (subtract one equation from the other so that one variable disorders in the result, and solve for the remaining variable).

since the factors and constants don't seem to be multiples or share nice factors with each other, I suggest the second way.

7x - 4y = 37

6x + 3y = 51

multiply the first equating by 3, and the second one by 4, and then add both equations :

21x - 12y = 111

24x + 12y = 204

------------------------------

45x + 0 = 315

x = 7

then we use one of the original equations to get y :

7×7 - 4y = 37

49 - 4y = 37

12 = 4y

y = 3

Answer:

A

Step-by-step explanation:

hope this helps :)

Answer:

l²

Step-by-step explanation:

......................

[tex]\text{Area}=\text{side}\times\text{side}=\text{side}^2[/tex]