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sladkih [1.3K]
4 years ago
7

Which represents the solution set of inequality 5x-9<21?

Mathematics
1 answer:
sweet-ann [11.9K]4 years ago
4 0

Answer:    x < 6

<u>Step-by-step explanation:</u>

5x - 9 < 21

<u>     + 9</u>   <u>+9  </u>

5x       < 30

<u>÷5     </u>    <u>÷5   </u>

 x       <  6

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Find the slope of the line on the graph write your answer as a fraction or a whole number not a mixed number or decimal.
Scorpion4ik [409]

Answer: 1

Step-by-step explanation:

Change in y/change in x

starting at y intercept. up 1 unit (change in y) and over 1 unit (change in x) to get to next point on line.

slope is 1/1 which reduces to 1.

3 0
3 years ago
Read 2 more answers
Translate the following sentence into an equation. Then solve the equation
sweet-ann [11.9K]
The correct option is C.
The difference of a number and 7 is 21 implies that 
n - 7 = 21
To solve for n,
n - 7 = 21
n = 21 + 7 = 28
Therefore, n = 28.
5 0
3 years ago
Ben is making salsa.He needs 1/3 cups of chilies for each bach of salsa.Ben has 5/6 cup green chilies.How many baches of salsa c
FromTheMoon [43]

Answer:

The number of batches Ben can make with 5/6 cup of green chilies is 2\frac{1}{2} batches of salsa.

Step-by-step explanation:

From the question,

Ben needs 1/3 cups of chilies for a batch of salsa.

To determine how many batches of salsa he can make with 5/6 cup of green chilies,

Let the number of batches Ben can make with 5/6 cup of green chilies be x.

Now,

If 1/3 cups of green chilies is needed for 1 batch,

Then, 5/6 cups of green chilies will make x batches

1/3 × x = 5/6 × 1

x = 5/6 ÷ 1/3

x = \frac{5}{6} \div \frac{1}{3}

x = \frac{5}{6} \times \frac{3}{1}

x = \frac{15}{6}

x = \frac{5}{2}

x = 2\frac{1}{2}

Hence, the number of batches Ben can make with 5/6 cup of green chilies is 2\frac{1}{2} batches of salsa.

5 0
3 years ago
The product of sin 30 degrees and sin 60 degrees is the same as the product of
zysi [14]

Answer:

sin(30\°)*sin(60\°)=cos(60\°)*cos(30\°)

Step-by-step explanation:

we know that

sin(\alpha)=cos(\beta)

when

\alpha+\beta=90\° -------> complementary angles

so

sin(30\°)=cos(60\°)

sin(60\°)=cos(30\°)

Because

30\°+60\°=90\° -------> complementary angles

In this problem the product of

sin(30\°)*sin(60\°)

is equal to

cos(60\°)*cos(30\°)

therefore

sin(30\°)*sin(60\°)=cos(60\°)*cos(30\°)

3 0
4 years ago
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Imagine you have a pair of six-sided dice. What's the
Ksivusya [100]

Answer:

The  probability of rolling a seven or rolling an even number  as the sum of the two dice is \frac{2}{3}    

Step-by-step explanation:

Given : Imagine you have a pair of six-sided dice.

To find : What's the  probability of rolling a seven or rolling an even number  as the sum of the two dice?

Solution :

Rolling a pair of six-sided dice,

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

Rolling a seven as the sum of the two dice are (1,6),(2,5),(3,4),(4,3),(5,2),(6,1)

Rolling an even number  as the sum of the two dice are (1,1),(1,3),(1, 5),(2, 2),(2, 4),(2, 6) ,(3, 1),(3, 3),(3, 5),(4, 2),(4, 4),(4, 6),(5, 1),(5, 3),(5, 5),(6, 2),(6, 4),(6, 6).

Favorable outcome of rolling a seven or rolling an even number  as the sum of the two dice are (1,6),(2,5),(3,4),(4,3),(5,2),(6,1), (1,1),(1,3),(1, 5),(2, 2),(2, 4),(2, 6) ,(3, 1),(3, 3),(3, 5),(4, 2),(4, 4),(4, 6),(5, 1),(5, 3),(5, 5),(6, 2),(6, 4),(6, 6) - 24

The probability is given by,

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}

\text{Probability}=\frac{24}{36}

\text{Probability}=\frac{2}{3}

Therefore, the  probability of rolling a seven or rolling an even number  as the sum of the two dice is \frac{2}{3}

5 0
3 years ago
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