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2 years ago

If x < 5, then which of the following must be true?

Mathematics

2 answers:

nevsk [136]2 years ago

6 0

-x > - 5 is also true. B.
When you divide by a negative number you change the direction of the inequality sign.

lesya692 [45]2 years ago

6 0

the answer is B -x>-5

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Lisa and her 17 classmates are donating money to a local charity. Each student will donate $5.25. How much money are Lisa and he

masya89 [10]

Answer:

$94.50

Step-by-step explanation:

Total No. of students = Lisa(1) + 17 classmates = 1+17 = 18

Money donated by 1 student = $5.25

Money donated by 18 Students = 18*5.25 = $94.50

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2 years ago

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If M/DFC= 40 and M CD= 55 the BG= 25 80 135

Y_Kistochka [10]

Answer:

Step-by-step explanation:

GC and BD are 2 intersecting chords thus the measure of the angle formed is

∠DFC = 0.5( m arc CD + m arc BG ), that is

0.5(55 + BG) = 40 ( multiply both sides by 2 )

55 + BG = 80 ( subtract 55 from both sides )

BG = 25

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2 years ago

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What is the domain of f(x) = 3 square root x?

Vedmedyk [2.9K]

Whole numbers if I remember correctly!

4 0

2 years ago

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The perimeter of a triangle is 41 inches. The three sides of the triangle are all differnt lenghts. The longest side is 10 less

erma4kov [3.2K]

Answer:

$Longest\ side=20\ inches\\\\Middle\ side=15\ inches\\\\Shortest\ side=6\ inches$

Step-by-step explanation:

Let be "x" the lenght of the longest side, "y" the lenght of the middle side and "z" the lenght of the shortest side.

The perimeter is:

$41=x+y+z$ [Equation 1]

We know that the longest side is 10 less than twice the middle side length. This can be expressed as:

$x=2y-10$ [Equation 2]

And the middle side length is three less than three times the shortest side length. This is:

$y=3z-3$ [Equation 3]

The steps are:

- Solve for "z" from the third equation:

$y=3z-3\\\\y+3=3z$

$z=\frac{y+3}{3}$ [Equation 4]

- Substitute [Equation 4] into [Equation 1]

- Substitute [Equation 2] into [Equation 1]

Then:

$41=(2y-10)+y+(\frac{y+3}{3})$

- Solve for "y":

$41=2y-10+y+\frac{y+3}{3}\\\\41=2y-10+y+\frac{y}{3}+1\\\\41=\frac{10}{3}y-9\\\\41+9=\frac{10}{3}y\\\\\frac{50*3}{10}=y\\\\y=\frac{150}{10}\\\\y=15$

- Substitute this value into [Equation 2] and into [Equation 4]:

$x=2(15)-10\\\\x=20$

$z=\frac{(15)+3}{3}\\\\z=6$

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3 years ago

State three (3) uses of graphs

Nataliya [291]

1. Graphs can help you figure out the slope of a line faster. 2. Graphs can help you compare two or more lines. 3. Graphs can help you determine the y-intercept by just looking at the graph.

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