17 apples and 12 oranges cost $10.44. 3 apples and 4 oranges cost $2.84. How much does 1 orange cost?

Answer:

1. 19/20

2. 8/45

3. 13/28

4. 4/3

5. 5/24

6. 49/30

7. 5/33

Fractions are integers that have both a numerator and a denominator. Fraction comes in the form: [tex]\frac{x}{y}[/tex]

where x = numerator and y = denominator.

a) 1/5 + 3/4

We find the Lowest common denominator (5, 4) = 20

Hence: 4 + (5 x 3) / 20

= 4 + 15 / 20

= 19/20

b) 7/9 - 3/5

We find the Lowest common denominator (5, 9) = 45

Hence: (7 x 5)  + (9 x 3) / 45

= 35 - 27 / 45

= 8/45

c) 6/8 - 2/7

We find the Lowest common denominator (7, 8) = 56

Hence: (6 x 7) - (2 x 8) / 56

= 42 - 16 /56

= 26/56

= 13/28

d) 5/6 + 5/10

We find the Lowest common denominator (6, 10) = 30

Hence: (5 x 5) + (5 x 3) / 30

= 25 + 15 / 30

= 40/30

= 4/3

= 1 1/3

e) 7/8 - 2/3

We find the Lowest common denominator (3, 8) = 24

Hence: (7 x 3) - (2 x 8) / 24

= 21 - 16 / 24

= 5/24

f) 8/10 + 5/6

We find the Lowest common denominator (6, 10) = 30

Hence: (8 x 3) + (5 x 5)

= 24 + 25 / 30

= 49/30

= 1 19/30

g) 9/11 - 2/3

We find the Lowest common denominator (3, 11) = 33

Hence: (9 x 3) - (11 x 2) / 33

= 27 - 22 / 33

= 5/33

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Answer:

X = 10

Step-by-step explanation:

X - 6 = 4

X = 4 + 6

X = 10

Answer:10

Step-by-step explanation:

1.add 6 to both sides

x-6+6=4+6

2. simplify

x=10

Answer:

The value of ∠4 is 45° .

Step-by-step explanation:

Given that , ∠4 = x + 30 ° & ∠2 = 2x + 15 .We need to find the measure of ∠4 . So from the figure we can see that , ∠2 & ∠4 are corresponding angles .So they will be equal.

⇒ ∠2 = ∠4 [ Corresponding angles ]

⇒ x + 30° = 2x + 15°

⇒ 2x - x = 30° - 15°

⇒ x = 15°

Hence the value of x is 15°

⇒ ∠4 = x + 30°

⇒ ∠4 = 15° + 30°

⇒ ∠4 = 45°

Answer:

y=2x and y=2x-7 has same slope 2, but y=2x-7 shift down 7 unit from y=2x

Step-by-step explanation:

y=2x and y=2x-7 has same slope 2, but y=2x-7 shift down 7 unit from y=2x

Answer: (2.)

1 and 111 only

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have a rectangle that measure 21 inches by 16 inches

to find the rectangle(which is the hypotenuse)  we will use Pythagorean theorem

c^=a^2+b^2

c^=21^2+16^2=697

c=[tex]\sqrt697}[/tex] =26.40 which rounded to the nearest tenth =26

Answer:$20

Step-by-step explanation:

$25x.20=5

$25-5=20

Answer:

-14°F

Step-by-step explanation:

First, we start at 12°f. Then, the temperature changes by -26°f. This means that we add (-26°f) to what we currently have. We then have

12 + (-26)

= 12-26

= -14°F

Answer:

12

Step-by-step explanation:

Answer:

12, 15, 18

Step-by-step explanation:

4+5+6 = 15

45/15 = 3

multiply 4 x 3 = 12

multiply 5x 3 = 15

multiply 6 x 3 = 18

The numerical length of DE is 11.

We have a Line Segment DG such that E and F is between D and G.

We have to determine the length of DE.

A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.

According to question, we have -

DE = 3x - 28

EF = 3x - 30

FG = x

DG = 33

Now -

DG = DE + EF + FG

33 = 3x - 28 + 3x - 30 + x

7x = 33 + 58

7x = 91

x = 13

Therefore -

DE = 3x - 28 = 3 x 13 - 28 = 39 - 28 = 11

Therefore -  DE = 11

Hence, the numerical length of DE is 11.

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Answer:

Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.

four rolled-up dollar bills seeming to grow out of dirt, with a miniature rake lying in between them

SIMPLE ONE-TIME INTEREST

I=POrA=P0+I=P0+P0r=P(1+r)

I is the interest

A is the end amount: principal plus interest

P

0

is the principal (starting amount)

r is the interest rate (in decimal form. Example: 5% = 0.05)

Step-by-step explanation:

Answer:

-24w + 14

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

3(w - 9w + 8) - 10

Step 2: Simplify

Answer: A

Step-by-step explanation:

Answer:

The answer to the question provided is

[tex]6 \frac{5}{12} [/tex]

Answer:

[tex](3 \frac{1}{2} \times 2 \frac{3}{4} ) \div \frac{11}{2} \\ = ( \frac{7}{2} \times \frac{11}{4} ) \div \frac{11}{2} \\ = ( \frac{77}{8} ) \times ( \frac{2}{11} ) \\ = ( \frac{7}{4} ) \\ = 1 \frac{3}{4} [/tex]

Answer:

Growth rate = 4.08%

Step-by-step explanation:

Rate of interest 'i' for the growth in the cost of the house,

i = [tex](\frac{\text{Final amount}}{\text{Initial amount}})^{\frac{1}{n}}-1[/tex]

Here 'n' = Duration or time (in years)

i = [tex](\frac{560000}{320000})^{\frac{1}{14}}-1[/tex]

i = [tex](\frac{7}{4})^{\frac{1}{14}}-1[/tex]

i = 1.0408 - 1

i = 0.0408

i = 4.08%

Therefore, growth rate for this period is 4.08%.

Answer:

y = 1/5x - 5

Step-by-step explanation:

slope intercept form: y=mx+b

m is the slope

to find slope, do rise/run. for this graph it comes out to be 2/10, which simplifies to 1/5

b is your y-intercept, aka where the line comes in contact with the y-axis

by calculating your slope, you can then find that if you follow the 1/5 slope, but make it a negative, your line would cross the y-anix at -5

therefore your answer is: y = 1/5x - 5

hope this helped!

Answer:

skewed

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok wait. Try add

Answer:

12/25

Step-by-step explanation:

Answer:

The value of g(f(3)) = 2

Step-by-step explanation:

We are given:

[tex]f(x)=2x[/tex]

[tex]g(x) = x-4[/tex]

And we need to find g(f(3))

First we need to find g(f(x))

by putting the value of f(x) into g(x) i.e put x = 2x

[tex]g(x)=x-4\\g(f(x))=2x-4[/tex]

Now, we need to find g(f(3)) by putting x = 3 in g(f(x))

[tex]g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2[/tex]

So, the value of g(f(3)) = 2

Answer:

A

Step-by-step explanation:

z = 106

y = 74

Since angle 74 and angle y are the same sizes, you can know for a fact they are the same measurments. Next, you would do 74(2) and that would get you 148. 360 - 148 is 212. 212/2 is 106. TADAAAAA. That's the answer.

9514 1404 393

Answer:

  (b)  24 m²

Step-by-step explanation:

After dilation by a factor of 2, the base is 2×3 m = 6 m, and the height is 2×4 m = 8 m. Then the area of the dilated triangle is ...

  A = 1/2bh

  A = 1/2(6 m)(8 m) = 24 m²

Answer:

634

Step-by-step explanation:

The population of the birds in 2001 = 230000

From 2001 to 2021 = 20 years

Given:

y = 200000[tex](0.75)^{x}[/tex]

where x is the number of years since 2001.

The population of the birds after 20 can be determined by;

y = 200000[tex](0.75)^{20}[/tex]

  = 200000(3.171211939 x [tex]10^{-3}[/tex])

  = 634.2424

y = 634

Thus, there would be 634 endangered birds in 2021.

That is a question about perimeter of rectangle.

The perimeter of a geometric shape is the sum of the value of the all sides.

In a rectangle, the opposite sides are cogruentes (equals). For example, look at picture below. In that rectangle, the sides AB and DC are equals, and the sides AD and BC are equals.

So, the sides of that rectangular table are: 1.52m, 1.52m, 0.75m and 0.75.

Therefore, the perimeter of that rectangle is [tex]1.52+1.52+0.75+0.75= 4.54[/tex]m.

But that is not the final answer because that is the perimeter in meters and the question want the answer in centimeters.

1 meter has 100 centimeter, so we need to multiplicate the perimeter by 100.

Thus, the perimeter of that rectangular table is [tex]4.54\cdot 100 = 454[/tex]cm.

Answer:

Multiply dno. plus nume. by 2

Step-by-step explanation:

get a base of 100