All categories

2 years ago

1.The difference between a number and 7 is greater than -16.

Mathematics

1 answer:

Butoxors [25]2 years ago

4 0

Answer:

Step-by-step explanation:

Let x be the "number" in each expression.

1 .The difference between a number and 7 is greater than -16.

(x-7) > -16

2. Twice a number is less than 30

2x < 30

3. 5 more than a number is greater than or equal to 27

(x + 5) ≥ 27

4. the quotient of a number and -6 is at -8

(x/-6) = -8

5. 14 subtract from a number is no less than 50

(x - 14) ≥ 50

6. 42 is fewer than the product of a number and -3

3x > 42

7. two-fifths of a number has a maximum value of 75

(2/5)x ≤ 75

8. 20 less than a number is least 100

(x - 20) ≥ 100

You might be interested in

The only items in a container A are 150 pencils and 725 pens. The ratio of the number of pencils to the number of pens in contai

Norma-Jean [14]

Answer:

Option E) 8000

Step-by-step explanation:

It is given in the question that the number of pencils and pens in a container A are 150 and 725.

Let the number of pens and pencils in container B are x and y.

As per statement " Ratio of the number of pencils to the number of pens is 2:3"

Equation will be $\frac{x}{y}=\frac{2}{3}$

Or $x=\frac{2}{3}y$ ------(1)

Second statement says "If all pens and pencils of container B are placed in container A then ratio of pencils and pens would be 3:5"

Equation will be $\frac{x+150}{y+725}=\frac{3}{5}$

5(x + 150) = 3(y + 725) [By cross multiplication]

5x + 750 = 3y + 2175

5x - 3y = 2175 - 750

5x - 3y = 1425 ------(2)

Now we put $x=\frac{2}{3}y$

$5(\frac{2y}{3})-3y=1425$

$\frac{10y}{3}-3y=1425$

$\frac{10y-9y}{3}=1425$

$\frac{y}{3}=1425$

y = 3×1425

y = 4275

Now we put y = 4275 in equation 1

$x=\frac{2}{3}(4275)$

x = 2850

Now (x + y) = 2850 + 4275

= 7125

Now Total number of pen and pencils in container A and container B

= 150 + 725 + 7125

= 8000

Therefore, Option E) is the answer

4 0

3 years ago

Unit 8 test study guide right triangles and trigonometry

tatiyna

Answer:

Hopefully, you can see the attachment. It's all on there but the "if" portion

7 0

3 years ago

Or Simplify. Express your answer as a single term using exponents. 303*9x303*9

dmitriy555 [2]

${303}^{9} \times {303}^{9} \\ = {303}^{9 + 9} \\ = {303}^{18}$

Answer:

${303}^{18}$

Hope you could get an idea from here.

Doubt clarification - use comment section.

6 0

3 years ago

9th grade alg 1 number 43 and work please!

Darya [45]

Answer:

The rule is y = -7x + 5

→ Other values of x;

-9

→ Other values of y;

5
-2
-9
-12
28
68
-170

Step-by-step explanation:

» Take points (1, -2) and (3, -12) from the table.

☑ General equation of a line is y = mx + c

m is the slope
c is y-intercept

✍ For slope, m :

${ \tt{slope = \frac{ - 12 - 2}{3 - 1} }} \\ \\ { \tt{slope = \frac{ - 14}{2} }} \\ \\ { \tt{m = - 7}}$

✍ For y-intercept, c :

${ \tt{y = mx + c}}$

» Taking point (1, -2):

${ \tt{ - 2 = (1 \times - 7) + c}} \\ { \tt{c = - 2 + 7}} \\ { \tt{c = 5}}$

${ \boxed{ \tt{y = - 7x + 5}}}$

3 0

3 years ago

Read 2 more answers

The product of two

inessss [21]

Answer:

11 and 12

Step-by-step explanation:

x(x+1)=132

x^2+x=132

x^2+x-132=0

(x-11)(x+12)=0

x = 11 or x = -12

when x=11 ,

x+1=12

11*12=132

7 0

4 years ago