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Practice Unit Races for Ratios with Fractions - Practice - Level
Porter is on the swim team. In addition to swimming, he runs as part of his training.
Porter checks his heart rate halfway through his training session, as shown in the table.

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:

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:$20

Step-by-step explanation:

$25x.20=5

$25-5=20

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

To learn more, visit the link below:

https://brainly.com/question/2227210

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

J

Answer:

90*0.3= 27 gallons of water are used outdoors each day

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:

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.

Answer:i think its a or c

Step-by-step explanation:

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:

40 if i did the equation right and ignore this wiehdnsjw

Answer:

egg egg egg egg egg

Step-by-step explanation:

1+1=1972-1=egg

Answer:

12+6.5x

Step-by-step explanation:

Hope this helps!! if you in step by step ill comment it in the comments!!

Answer: it's just a black screan

Step-by-step explanation:

Answer:

5.8

Step-by-step explanation:

5+8(3+x)=

5+24+5x

29+5x=

5x= Negative 29

divide 29 by 5

Answer: A

Step-by-step explanation:

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:

skewed

Step-by-step explanation:

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.

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:

Step-by-step explanation:

the other angle is 38 as well

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:

50.27 mi

Step-by-step explanation:

lol

Answer:

Step-by-step explanation:

Ok wait. Try add

Answer:

12/25

Step-by-step explanation:

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:

x = - 1/2

Step-by-step explanation:

-3(x-4) = -9(x - 1)

1. Distributive Property

-3 * x -3 *-4 = -9 * x -9 * -1

-3x + 12 = -9x + 9

Hint: 2 negatives make a postive

-3x + 12 = -9x + 9

2. Subtract 12 on both sides

-3x + 12 - 12 = -9x + 9 - 12

-3x = -9x + -3

3. Add 9x on both sides

-3x + 9x = -9x + 9x + -3

6x = -3

4. Divide both sides by 6 to isolate the variable

6x/6 = -3/6

x = - 1/2

Check:

-3(-1/2-4) = -9( -1/2- 1)

3/2 + 12 = 9/2 + 9

3/2 + 12 ( we need a common denominator so...lets make it  2 )

3/2 + 12*2/1*2

3/2 + 24/2 = 27/2 = 13 1/2 = 13. 5

Now...

9/2 + 9 ( we need a common denominator so..lets make it 2 )

9/2 + 9*2/1*2

9/2 + 18/2 = 27/2 = 13 1/2 = 13.5

13.5 = 13.5 CORRECT!

27/2 = improper fraction

13 1/2 = mixed number

13.5= decimal form

Hope this helped

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:

copy and paste it to math website

Step-by-step explanation: