John has $55 . He buys 6 books. Each book costs the same amount. He now has $10 . Drag expressions to complete the tape diagram shown to model this situation.

Answer:

Let hardcover book be x

Let paperback book be y

2x+3y=$118....Equation 1

3x+2y=$137.... Equation 2

Solve for x and y using simultaneous equation

Using elimination method

2x+3y=118......×3

3x+2y=137......×2

6x+9y=354

6x+4y=274

9y-4y=80

5y=80

y=80÷5=16

substituting y=16 into equation 1

2x+3(16)=118

2x+48=118

2x=70

x=70÷2=35

Therefore hardcover costs $35 each

paperback cover costs $16 each

Answer:

5x+10y+5z

Step-by-step explanation:

Distributive Property means you multiply each component by the value you are distributing in this case: (1/2)(10x) + (1/2)(20y) + (1/2)(10z) which will yield 5x+10y+5z

Answer:

828 rs

Step- -step explanation:

pradeep sold the item for 60 rs less than the cost price

The cost price = amount lost + amount it was sold

60 + 660 = 720 rs

To determine the selling price that would yield a gain of 15%,

15/100 x 720 = 108

108 + 720 = 828 rs

Answer:

its a little blurry

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

2x+1=(-3)

-1 on both sides

2x=-4

÷2 on both sides

x=-2

Hope this helps =]

Answer:

x= [tex]\frac{1}{1028} y[/tex]+[tex]\frac{-339}{514}[/tex]

Step-by-step explanation:

let's solve for x.

y=23x(45)−7x+678

step 1: flip the equation.

1028x+678=y

step 2: add -678 to both sides.

1028x+678+−678=y+−678

1028x=y−678

step 3: divide both sides by 1028.

1028x/1028=y-678/1028

x=1/028 y+-339/514

answer- x= [tex]\frac{1}{1028} y[/tex]+[tex]\frac{-339}{514}[/tex]

good luck :)

have a great day !!

Answer:

E. 50%

Step-by-step explanation:

The shaded regions in the bottom can be 'moved' to the top since those pieces are the same size and if you do that, they cover the entire top half

Answer:

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m that contains the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = - 3

(1, 2)  ⇒    x₀ = 1,  y₀ = 2

Therefore:

y - 2 = -3(x - 1)

Answer:

341km2

Step-by-step explanation:

7km*25km=175km2

8km*(11km+6km)=136km2

5km*6km=30km2

175km2+136km2+30km2=341km2

Answer:

pretty sure it's 25° :))

Answer:

112.2857143 Or 112 with a remainder of 2

Step-by-step explanation:

 1 1 2

7 7 8 6

− 7    

 0 8  

−   7  

   1 6

 − 1 4

     2

Answer:a) $5.64  b)  21 ounces of tea leaves

Step-by-step explanation:

Step 1

5 ounces of tea leaves can be bought with  $2.35

1 ounce of tea can be bought with =$2.35/5 =$0.47

12 ounces at the same rate  can be bought with

=12 x $0.47 = $5.64

b) 5 ounces of tea leaves can be bought with  $2.35

? Ounces of tea leaves can be bought with $10

$2.35 =5 ounces of tea

$10 = ? ounces of tea

           = (10 x  5)/2.35

           =50/2.35

=21.27 rrounded to 21 ounces of tea leaves

Note: This question needs practical measurements so I am going to use my clock at home. Otherwise, you can measure the clock at your house and work out.

the diameter of the clock= 30 cm

the radius of the clock= 15 cm

(a) the area of the clock is

[tex]\pi r^{2} = 3.14 \times 15^{2} = 706.5 \: cm^{2} [/tex]

(b) The length of the minute hand covered in one hour is equal to the circumference of the clock.

The circumference of the clock is

[tex]2\pi \times radius = 2 \times 3.14 \times 15 = 94.2 \: cm[/tex]

Answer:

9: 1,3,9

45: 1, 3, 5, 9, 15, and 45

Step-by-step explanation:

So the gcf is 9

Answer:

Step-by-step explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 9 and 45 by the following methods.

GCF of 9 and 45 by Listing the Common Factors Method

GCF of 9 and 45 by Prime Factorization Method

Answer:

4 ) reflexive property of congrunce

5 ) Definition of Equilateral Triangle

Step-by-step explanation:

4) the lines are equal to each other

5) if one triangle is equal to another triangle than they must be the same triangle

Answer:

4(5x−4y+8)

Step-by-step explanation:

20x−16y+32

Factor out 4.

4(5x−4y+8)

Answer: 68%

Step-by-step explanation:

Empirical rule is basically using a bell curve along with mean and SD to find the center percentage. So take the mean right. 100 if you add 15 which is the SD you get 115 or 34.1% from 100 to 115. If you do the same thing but subtract this time 100-15=85 34.1% again from 85 to 100. So 85 to 115 is 34.1%+34.1%=68%

Answer:

Students who watch television in the evenings tend not to have any homework is the association suggested by the two-way table.

Step-by-step explanation:

Of the students who watch television, 33% have homework, and 67% do not have homework.

So, students who watch television in the evening tend not to have homework.

Of the students who do not watch television, 75% have homework, and 25% do not have homework.

So, students who do not watch television in the evenings tend to have homework.

I just had the question on Study Island!

Answer:

Students who watch television in the evenings tend not to have any homework.

Step-by-step explanation:

Have a good day :)

Answer:

30 boxes

Step-by-step explanation:

if that is a 1/2,

then he needs half for each box

he has 15 feet's of ribbon

for every two boxes he needs 1 foot of ribbon

2×15=30

Is there any other information? We can't estimate the cost of a 7 minute call if we don't get the information for the amount of money/time. Please update the question fully, thank you!

Answer:

B

Step-by-step explanation:

B

Answer:

Cone

Step-by-step explanation:

A cone's cross sections are either a circle or a triangle

Answer:

x = 1.25

Step-by-step explanation:

-3x+10 = 5x-8

+3x        +3x

10 = 8x - 8

+8           +8

18 = 8x

x = 18/8

x = 1 1/4 = 1.25  

Answer:

a And b same number but different in sign. for example-5+5=0

Answer:

Conner's work is correct

Jana's work is incorrect

Step-by-step explanation:

Explanation: While Multiplying, exponents of the same bases gets added and not multiplied.

Here, CONNOR HAS ADDED THE EXPONENTS WHEREAS JANA HAS MULTIPLIED THE EXPONENTS.

Answer:

c.

Step-by-step explanation:

Please note that the angle A and B are somewhat close to 45deg, so we expect AC and BC to be close in length.

We can drop answer a on that basis.

We can also drop abswer d on the basis that AC is longer than AB there and that cannot be the case in a right triangle.

We can verify that for both b and c the Pythagoras theorem holds, so we need to choose the answer that fits the angles A and B. Te can check the tan of the angle to get the ratio between BC and AC.

tan(48.8deg) ~= 1.1423

1.6/1.4 ~= 1.1429; close enough.

So we choose answer c.

Answer:

108 or 72

Step-by-step explanation:

:) cdhhyvfhjyvfyhgfvhghghhhjbh

do you have S s-n-a-p-c-h-a-t

Answer:

32

since 2^-2 is equal to 0.25, you divide 8 by 0.25 which is 32

Answer b=-2

Step-by-step explanation: Simplify  2^2 to 4 so 4−2b=8 then -2b=4 b=-4/2= b-2

Hope this helped :)

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Answer:

Step-by-step explanation:

Square is x meters on each side.

Area of square = x²

Width of rectangle = x+1

Length of rectangle = x+4

Area of rectangle = (x+1)(x+4) = x²+5x+4

Combined area = 2x²+5x+4 = 33

2x²+5x-29 = 0

x = [-5+√(5²-4(2)(-29))]/[2(2)] = [-5 +√257]/4