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3 years ago

X - 11 < 7 Please help✨✨

Mathematics

2 answers:

Ann [662]3 years ago

7 0

x menos 11 menor que 7. .............................

Mars2501 [29]3 years ago

7 0

Answer:

x < 18

Step-by-step explanation:

We have an inequality and are asked to solve.

To solve, we need to isolate x or by other means get x by itself.

X - 11 < 7

Add 11 to both sides :

x < 18

Now you could ask whether the inequality sign would change, no, this would only happen when you divide by a negative number.

You might be interested in

A coordinate grid is placed over a college Station map. Tiger Stadium is located at (-3,2)

Olin [163]

Answer:

$4.61\ units$

Step-by-step explanation:

The complete question is

A coordinate grid is placed over a College Station map. Tiger Stadium is located at (-3, 2) and Kyle Field is located at (4, 8). If a shuttle bus stop is at the midpoint between Tiger Field and Kyle Field, which is the closest to the distance in coordinate units from Tiger Field to the shuttle bus stop?

Options

4.61 units

6.52 units

9.22 units

21.25 units

step 1

Find the midpoint between Tiger Field and Kyle Field ( shuttle bus stop)

we know that

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have the points

(-3, 2) and (4, 8)

substitute in the formula

$M=(\frac{-3+4}{2},\frac{2+8}{2})$

$M=(0.5,5)$

step 2

Find the distance from Tiger Field to the shuttle bus stop

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the points

(-3,2) and (0.5,5)

substitute in the formula

$d=\sqrt{(5-2)^{2}+(0.5+3)^{2}}$

$d=\sqrt{(3)^{2}+(3.5)^{2}}$

$d=\sqrt{21.25}\ units$

$d=4.61\ units$

6 0

3 years ago

1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she fi

AleksAgata [21]

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x$

The table is:

x: 200 400 600 800 1000

y: 10 20 30 40 50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x$

The table is:

x: 200 400 600 800 1000

y: 8 16 24 32 40

The graph is plotted using geogebra online graphing

b) From the table above we can see that Anna makes more stuffing than Jason.

c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100$

We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.

The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)

For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100

D) The line pass through (10, 10) and (100, 40), hence:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}$

3 0

3 years ago

Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant e

Alex17521 [72]

Answer: 0.23

Step-by-step explanation:

Given : F is the event "works in the finishing department;"

and A is the event "is absent excessively."

Given : 10% of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.

i.e. P(A)= 0.20 ; P(F)=0.10 ; P(A ∩ F) = 0.07

We know that $P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)$