KNOWLEDGE CHECK: ALEKS

Answer:

20% of a is 11, what is a

a =55

75% of b is 12, what is b

b = 16

80% of c is 20, what is c

c = 25

200% of d is 18, what is d

d = 9

Step-by-step explanation:

20% of a is 11, what is a

20a = 1100

a =55

75% of b is 12, what is b

75b = 1200

b = 16

80% of c is 20, what is c

80c = 2000

c = 25

200% of d is 18, what is d

200d = 1800

d = 9

Answer: 1 2/6 which needs to be simplify which is 1 1/3.

We can see here that 6/4 as a mixed number is =  1 (1/2).

A mixed number is a representation of a number that includes both a whole number and a fraction. It consists of an integer part and a fractional part. The integer part represents a whole number, while the fractional part represents a proper fraction.

To express 6/4 as a mixed number, you divide the numerator (6) by the denominator (4) and express the remainder as a fraction with the same denominator. In this case, 6 divided by 4 is 1 with a remainder of 2. So, 6/4 can be written as the mixed number 1 (2/4), which can be simplified to 1 (1/2).

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Answer:

3/4

Step-by-step explanation:you divide both sides by 7/8, so x=3/4.

Answer:

3/4

Step-by-step explanation:

Given

3/4 x 7/8

Multiply through

21/32

Divide by 7

3/4

Answer:

angle of elevation=36°

Step-by-step explanation:

tan ~\theta=\frac{height}{base} =\frac{50}{68} =\frac{25}{34} \\\theta=tan^{-1}(\frac{25}{34}) \approx 36

Answer:

12

It is a common Right triangle side - 9-12-15. its the same as a 3-4-5 triangle

Answer: 12

Step-by-step explanation:

15 is the hypotenuse (c), and 9 is one side (a)

a^2+b^2=c^2

1. Find Values of Squared Numbers: 81+b^2=225

2. Subtract 81 from 225: b^2=144

3. Find the square root of each side: b=12

Answer:

0.6

Step-by-step explanation:

Answer:

[tex]4 \frac{3}{6} = \frac{27}{6} [/tex]

The correct answer is B.

Answer:

each side is 55.125cm

Step-by-step explanation:

you have to divide the area by 2

then do 441/2=220.5

then divide this by 4 because a square has 4 equal sides so 220.5/4=55.125

Answer: 6000 km

Step-by-step explanation:

600 x 10

6000

When multiplying by 10 you add a zero to the end.

Answer:

6,000

Step-by-step explanation:

I think I'm not sure but if for every 1cm=600km then you multiple

1cm=600km

10cm=6,000km

Answer:-4, -3 1/2, 0, 1/4, 5/4, 7/4, 4

Step-by-step explanation: please give brainliest and thankyou

Answer:

Switch the x- and y-coordinates

Step-by-step explanation:

Answer:

#3   1/6, 1/6, 1/2, 1/3, 5/6.

#4   3/12, 4/12, 5/12, 8/12, 9/12

Step-by-step explanation:

#3 is numbers out of six (fractions).

#4 is the same thing.  You add all of the numbers (4, 3, and 5) to get the total and then you subtract to get the probability.

These are all I know.

Answer:

Can I know the units to this and what does the (5,5) represent? Like it's a dot on a coordinate plane or something else?

Step-by-step explanation:

Step-by-step explanation:

[tex]Area \: of \: rectangle \\ = lenght \times breadth \\ = 7.1 \times 2.5 \\ = 17.75 \: {cm}^{2} \\ [/tex]

Answer:

m= [-16- (-9)]/(11-17)= (-16+9)/-6= -7/-6

the slope=7/6

Step-by-step explanation:

the slope is difference between y/ difference between x

Answer:

11, 10, 9, 8

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the expression, that is

12 - 1 = 11

12 - 2 = 10

12 - 3 = 9

12 - 4 = 8

The first 4 terms are 11, 10, 9, 8

The first four terms of the sequence defined by the expression 12-n are 11, 10, 9, and 8 when substituting the first four natural numbers for n.

The first four terms of the sequence defined by the expression 12-n can be determined by substituting the first four natural numbers for n. Let's calculate the first four terms of the sequence step-by-step.

For n = 1: 12 - 1 = 11

For n = 2: 12 - 2 = 10

For n = 3: 12 - 3 = 9

For n = 4: 12 - 4 = 8.

Therefore, the first four terms of the sequence are 11, 10, 9, and 8.

Answer:

11679

Step-by-step explanation:

Increased by 229

First you need to find the 2%

So to find the 2%

2/100 * 11450=229

Now add 11450+229= 11679

Answer:

11,679

Step-by-step explanation:

Start off making the 2% into a decimal so you can multiply it with the full amount of applications for the year before. 2% in decimal is .02 because you move the decimal twice to the left. Now that you have .02, multiply it by 11,450. (11,450)*(.02) which should be 279. Now you have to add the 279 to the 11,450 because they were admitted as well. (11,450+279)= 11,679

Answer:

opiton b

Step-by-step explanation:

To find out which equation satisfies h(x) we need to check with each option

We plug in x  value

A) h(–1.25) = –0.5

Plug in -1.25 for x  in h(x) = 16^x

That is not true

B) h(–0.5) = 0.25

Plug in -0.5 for x  

That is true.

C)  h(0.75) = 12

Plug in 0.75 for x  

That is not true.

D)  h(1.25) = 20

Plug in 1.25 for x  

That is not true

Answer:

[tex]H=\frac{V}{LW}[/tex]

see the explanation

Step-by-step explanation:

we know that

Using inverse operations, the  formula can be rearranged to solve for any one of the variables that might be  unknown.

we have

[tex]V=LWH[/tex]

The operation of multiplication is used in the formula

so

The inverse operation of division should be used to isolate the variable H

so

Divide both sides by LW

[tex]\frac{V}{LW}=\frac{LWH}{LW}[/tex]

simplify

[tex]H=\frac{V}{LW}[/tex]

Answer:

Step-by-step explanation:

Answer:

  63.2 miles

Step-by-step explanation:

The given slope and point can let us use the point-slope form of the equation for a line:

  y = m(x -x1) +y1

  y = -0.95(x -50) +48

We want to find the value of y for x=34.

  y = -0.95(34 -50) +48 = 63.2

Jose had 63.2 miles remaining after driving 34 minutes.

Answer:

$12 hourly

Step-by-step explanation:

120 ÷ 10 = 12

Answer: 8 7/9 + 4 1/8 = 929 /72  = 12 65/72  ≅ 12.9027778

Step-by-step explanation:

Conversion a mixed number 8 7

9

to a improper fraction: 8 7/9 = 8 7

9

= 8 · 9 + 7

9

= 72 + 7

9

= 79

9

To find new numerator:

a) Multiply the whole number 8 by the denominator 9. Whole number 8 equally 8 * 9

9

= 72

9

b) Add the answer from previous step 72 to the numerator 7. New numerator is 72 + 7 = 79

c) Write previous answer (new numerator 79) over the denominator 9.

Eight and seven ninths is seventy-nine ninths

Conversion a mixed number 4 1

8

to a improper fraction: 4 1/8 = 4 1

8

= 4 · 8 + 1

8

= 32 + 1

8

= 33

8

To find new numerator:

a) Multiply the whole number 4 by the denominator 8. Whole number 4 equally 4 * 8

8

= 32

8

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write previous answer (new numerator 33) over the denominator 8.

Four and one eighth is thirty-three eighths

Add: 79

9

+ (33

8

) = 79

9

+ 33

8

= 79 · 8

9 · 8

+ 33 · 9

8 · 9

= 632

72

+ 297

72

= 632 + 297

72

= 929

72

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 8) = 72. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 8 = 72. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seventy-nine ninths plus thirty-three eighths = nine hundred twenty-nine seventy-seconds.

Answer: 12 65/72  

Step-by-step explanation:

1)  [tex]79/9+33/8[/tex]

Get your answer (as an improper fraction): [tex]929/72[/tex]

2) Turn [tex]929/72[/tex] into a mixed number and get 12 65/72

Answer:

5x+6=3

Step-by-step explanation:

"A number" is a variable.

"Sum" is addition.

"Equals 3" is =3.

"and six" relates to "sum".

So when you put these together it would be 5x+6=3

Answer:

[tex]50(5 - 3x)[/tex]

Step-by-step explanation:

The given expresion is

[tex]250 - 150x[/tex]

The greatest common factor is 50.

We rewrite using the distributive property to get;

[tex]50 \times 5- 50 \times 3x[/tex]We collect the highest common factor to obtain:

[tex]50(5 - 3x)[/tex]

Therefore when we factor out the greatest common factor from the given expresion we get;

[tex]50(5 - 3x)[/tex]

To apply the distributive property and factor out the greatest common factor from the expression 250-150x, we need to find the largest number that evenly divides into both numbers. In this case, the greatest common factor is 50, so the expression can be rewritten as 50(5 - 3x).

To factor out the greatest common factor from the expression 250-150x, we need to find the largest number that evenly divides into both 250 and 150. In this case, the greatest common factor is 50. We can rewrite the expression as 50(5 - 3x).

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Final answer:

The sample space for picking a single marble from a bag containing two red and three blue marbles has 5 outcomes, represented as R1, R2, B1, B2, B3.

Explanation:

To determine the number of possible outcomes in the sample space when you randomly pick a marble from a bag containing two red marbles and three blue marbles, you must consider each marble as a distinct possibility. Since there are 5 marbles in total, each draw from the bag has 5 potential outcomes. It does not matter the color of the marble; each draw represents a distinct event with 5 possible outcomes.

Therefore, the sample space, which represents all possible outcomes, contains 5 elements. These outcomes can be represented as R1, R2, B1, B2, and B3, where 'R' stands for red marbles, 'B' stands for blue marbles, and the numbers differentiate between the individual marbles.

The exact value of y is [tex]4\sqrt{3}[/tex].

Solution:

The attached below shows how the formula is written.

Using geometric mean,

Total base length (p + q) = 8

q = 6

p = 8 – 6 = 2

Let us first find the height of the triangle.

[tex]h^2=pq[/tex]

[tex]h^2=2\times6[/tex]

[tex]h^2=12[/tex]

Taking square root on both sides,

[tex]h=\sqrt{12}[/tex]

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

[tex]y^2=(\sqrt{12})^2+6^2[/tex]

[tex]y^2=12+36[/tex]

[tex]y^2=48[/tex]

[tex]y=4\sqrt{3}[/tex]

The exact value of y is [tex]4\sqrt{3}[/tex].

The first 4 terms of sequences a) n + 5 and b) 2n - 1 are calculated, as well as the 10th term of each sequence.

For the sequence a) n + 5:

First 4 terms: 1 + 5 = 6, 2 + 5 = 7, 3 + 5 = 8, 4 + 5 = 9

10th term = 10 + 5 = 15

For the sequence b) 2n - 1:

First 4 terms: 2(1) - 1 = 1, 2(2) - 1 = 3, 2(3) - 1 = 5, 2(4) - 1 = 7

10th term = 2(10) - 1 = 19

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Answer: 85.101

Step-by-step explanation:

89.20 - 4.099

= 85.101

Answer:

A unique triangle

Step-by-step explanation:

12+7 > 14

12 + 14 > 7

7 + 14 > 12

By the Triangle Inequality Theorem, 12, 7, 14 can make a triangle ( not take triangle's direction or in which quadrant into our consideration)