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3 years ago

one lap around the track is 1/4 mile.Jose wants to run 5 miles. How many times must he run around the track?

Mathematics

2 answers:

solong [7]3 years ago

5 0

He must run around the track 20 times to run 5 miles.

Masja [62]3 years ago

4 0

5 miles* (1 time/ 1/4 mile)= 20 times

Jose must run 20 times around the track~

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What is the sum of the given polynomials in standard form ? (X^2-3x)+(-2x^2+5x-3)

Greeley [361]

$(x^2-3x)+(-2x^2+5x-3)=x^2-3x-2x^2+5x-3\\\\=(x^2-2x^2)+(-3x+5x)-3=-x^2+2x-3$

3 0

3 years ago

Please help! I dont understand! Thank you

Digiron [165]

QUESTION A

The given inequality is

$x-1\:>\:5$

Add 1 to both sides of the inequality to obtain;

$x\:>\:5+1$

$x\:>\:6$

Answer: 2. $x\:>\:6$ , open dot at 6 and shaded to the right.(A)

QUESTION B.

The given inequality is $2x \le 6$ .

Divide both sides by 2;

$x \le \frac{6}{2}$ .

$x \le 3$ .

Answer: 5. $x \le 3$ , closed dot at 3 and shaded to the left(B).

QUESTION C

The given inequality is $x-7\:>\:-4$

Add 7 to both sides to get;

$x\:>\:-4+7$

$\Rightarrow x\:>\:3$

Answer: 7. $x\:>\:3$ , open dot at 3 and shaded to the right.(C)

QUESTION D

We want to solve;

$-2x \:$

Divide through by -2 and reverse the inequality sign;

$x \:>\:\frac{6}{-2}$

$x \:>\:-3$

Answer; 3. $x \:>\:-3$ Open dot at -3 and shaded to the right. (D)

QUESTION E

We have

$4\:$

Divide through by -4 and reverse the sign.

$\frac{4}{-4}\:>\:x$

$-1\:>\:x$

$x\:$

Answer: 6. $x\:$ open dot at -1, and shaded to the left(E)

QUESTION F

The given inequality is $-2x+3\:$

Add -3 to both sides to get;

$-2x\:$

Divide both sides of the inequality by -2 and reverse the sign;

$x\:>\:5$

Answer:9. $x\:>\:5$ , open dot at 5 and shaded to the right(F)

QUESTION G

The given inequality is

$5x+1\ge11$

$5x\ge11-1$

$5x\ge10$

Divide by 5

$x\ge2$

Answer ; 10. $x\ge2$ , closed dot at 2 and shaded to the right(G)

QUESTION H

We have $3(x+4)\:>\:8x-6$

Expand the bracket to get;

$3x+12\:>\:8x-6$

Group similar terms to get;

$3x-8x\:>\:-6-12$

Simplify

$-5x\:>\:-18$

Divide through by -5 and reverse the sign;

$x\:$

Answer: 1. $x\:$ Open dot at 18/5 and shaded to the left(H)

QUESTION I

We have $-3x+4\:$ .

$-3x+x\:$

$-2x\:$

Divide by -2 and reverse the sign;

$x\:>\:1$

Answer: 8. $x\:>\:1$ , open dot at 1 and shaded to the right(I)

J. The given inequality $-2(x-4)\:>\:5-(x+2)$

Expand the bracket to get;

$-2x+8\:>\:5-x-2$

Group like terms to get;

$-2x+x\:>\:5-2-8$

$-x\:>\:-5$

Divide by -1 and reverse the sign to get;

$x\:$

Answer; 4. $x\:$ , open dot at 5 and shaded to the left.(J)

6 0

3 years ago

A 72.9-foot rope from the top of a circus tent pole is anchored to the ground 44.9 feet from the bottom of the pole. What angle

Ilia_Sergeevich [38]

See the attachment.

It is in the attachment (photo)

4 0

3 years ago

A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.

Luden [163]

The x-coordinate is negative, and the y-coordinate is negative.

This is because the y-axis is vertical, so reflecting across it means you will change the sign of the x-value, and the sign of the y-value will stay constant. Since we start off with a positive x and negative y, we will end up with a negative x and negative y.

4 0

3 years ago

The answer is 48 can someone explain how?

mestny [16]

Answer:

Step-by-step explanation:

(1)

apple × apple × 2apple = 54

2apple³ = 54 divide both sides by 2

apple³ = 27 → apple = ∛27

apple = 3

(2)

apple + apple × green_apple = 24 substituite apple = 3

3 + 3 × green_apple = 24 subtract 3 from both sides

3 × green_apple = 21 divide both sides by 3

green_apple = 7

(3)

strawberry - bannana - banana = 0 → strawberry = 2banana

(4)

strawberry + banana + cherry = 24 substitute from (3)

2banana + banana + cherry = 24

3banana + cherry = 24

(5)

apple + banana - cherry = -1 substitute apple = 3

3 + banana - cherry = -1 subtr3 from both sides

banana - cherry = -4

Add both sides of (4) and (5)

3banana + cherry = 24

+banana - cherry = -4

4banana = 20 divide both sides by 4

banana = 5

Substitute it to (4):

3(5) + cherry = 24

15 + cherry = 24 subtract 15 from both sides

cherry = 9

Substitute to the last equation:

3 + 5 × 9 = 3 + 45 = 48

/USED PEMDAS/

7 0

3 years ago