In a relay race, Jill runs 250 meters in 1.5 minutes. She hands the baton to John, who walks for 3 minutes at a rate of 70 meters per minute. Finally, Suzy sprints the last 100 meters in 15 seconds. What distance is traveled in this relay

Answer:

B.   x = 7, y = 4√2

Step-by-step explanation:

Drop a vertical from the upper left corner

This creates a rectangle and a 45-45-90 triangle

The bottom of the rectangle is 3

The legs of the triangle are 4

Therefor

x = 4 + 3

x = 7

For a 45-45-90 triangle

the hypotenuse = leg * √2

y = 4√2

The only length that is equal to 6 feet 12 inches is 7 ft.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

To compare lengths, we need to convert all of them to the same units. One way to do this is to convert everything to inches.

6 feet 12 inches is equal to 6 x 12 + 12 = 84 inches.

3 yd 1 ft = 3 x 3 x 12 + 1 x 12 = 109 inches, which is not equal to 84 inches.

7 ft = 7 x 12 = 84 inches, which is equal to 6 feet 12 inches.

7 ft 2 in. = 7 x 12 + 2 = 86 inches, which is not equal to 84 inches.

2 yd 1 ft = 2 x 3 x 12 + 1 x 12 = 78 inches, which is not equal to 84 inches.

1yd 4 ft = 1 x 3 x 12 + 4 x 12 = 60 inches, which is not equal to 84 inches.

Therefore, the only length that is equal to 6 feet 12 inches is 7 ft.

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Answer:

P(grey) = 0.2857

Step-by-step explanation:

Remark

This is another one of those questions where assumptions are being made with no valid proof that they are correct.

Assumptions

Solution

There are 2 grey pie shaped pieces.

There are 7 shapes all together.

P(grey) = 2/7

P(grey) = 0.2857

hope it will help u.......

Answer:

y=-2x-2

Step-by-step explanation:

Answer:

1st answer 52+7=59

2nd answer 52-18=32

3rd answer 74-52=22

4th answer 2×52=104

please mark it as the brainlliest answer

Answer:

z=1.96

Step-by-step explanation:

Using normal distribution table or technology, 97.5% corresponds to z=1.959964, generally denoted z=1.96, or 1.96 standard deviations above the mean.

(above value obtained from R)

Answer:

I would have my debit card declined because it is a better choice prob than having to pay the overdraft fee.

Answer:

try me

Step-by-step explanation:

try these nuts

Answer:

lol

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

[tex]V_{right\: square \: pyramid} = \frac{1}{3} {a}^{2} h \\ \\ \therefore \: 1500 = \frac{1}{3} {(15)}^{2} (x)\\ \\ \therefore \: 1500 = \frac{1}{\cancel 3} \times \cancel {225} (x) \\ \\ \therefore \: 1500 = 75x \\ \\ \therefore \: x = \frac{1500}{75} \\ \\ \therefore \: x = 20[/tex]

Answer:

4x^2 + 2x + 4

Step-by-step explanation:

5x^2 + 2x + 4 - x^2

4x^2 + 2x + 4

Answer:

2(2x^2 + x + 2)

Step-by-step explanation:

5x^2+2x + 4-x^2

Re arrange so like terms are next to each other

Keep the same symbol that is at the front of the term when moving it

5x^2 - x^2 + 2x + 4

We will just do the first part first

5x^2 - x^2

5x^2 - 1x^2 (is the same thing as above)

So because they are like terms (are both x^2)

We can just minus 1 from 5

5-1=4

So 4x^2

Now the equation is

4x^2 + 2x + 4

This is as small as it gets but you can also bring it to this

4, 2 and 4 all are divisible by 2 so

2(2x^2 + x + 2)

7/16 = 0.4375

3.4375 is between 3.43 and 3.44

The answer: 3 and 7/16

Answer:

2 hours

Step-by-step explanation:

because they work faster togetter and jeff mows faster

Answer:

D. 3

Step-by-step explanation:

Distance between A and D = AD = 9 units

Distance between A and B = AB = 3 units

[tex] \frac{AD}{AB} = \frac{9}{3} [/tex]

Simplify by dividing

[tex] \frac{AD}{AB} = \frac{3}{1} [/tex]

[tex] \frac{AD}{AB} = 3 [/tex]

The answer is 3

========================================================

Explanation:

Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9

When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.

------------------------

Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)

So we go from 9999 to 9990

Repeat the last set of steps we did earlier

Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.

Hope this help!!!

Have a nice day!!!

Answer is 70 ounces

Step-by-step explanation:

13 candy bars weigh =26 ounces

1 candy bar weighs=26/13=2 ounces

35 candy bars weigh=2x35=70 ounces

Step-by-step explanation:

hear is your answer in attachment

Answer:

54 pounds

Step-by-step explanation:

To find out how much flour is needed to make 9 cakes, we first need to find out how much much flour is needed to make 1 cake. For that, we need to divide 6 by 36. That will give you 6. Now that we know how much flour is needed to make 1 cake, we will just have to multiply 6 by 9 to find out how much flour is needed to make 9 cakes. That will give you 54 pounds, which is your final answer.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ({ \: z - 2 \: })^{2} \: }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {z}^{2} - 4z + 4[/tex]

[tex] = {z}^{2} - 2z - 2z + 4[/tex]

Taking "[tex]z[/tex]" as common from first two terms and "[tex]2[/tex]" from last two terms, we have

[tex] = z \: ( \: z - 2 \: ) - 2 \: ( \: z - 2 \: )[/tex]

Taking the factor [tex](z-2)[/tex] as common,

[tex] = ( \: z - 2 \: )( \: z - 2 \: )[/tex]

[tex] = {( \: z - 2 \: )}^{1 + 1} [/tex]

[tex] = ({ \: z - 2 \: })^{2} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35❦}}}}}[/tex]

Answer:

[tex]\displaystyle x \approx 9.9[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 64°

Opposite Leg = x

Hypotenuse = 11

Step 2: Solve for x

Answer:

4/10 but simplified = 2/5

Step-by-step explanation:

Add the marbles up, there are 4 green, so it's 4/10

But if you simplify it, it would be 2/5

I hope this helped!

Answer:

sana Po nakatulong

stay safe po

Answer:

Kindly check explanation

Step-by-step explanation:

The hypothesis :

H0 : μ = 3000

H0 : μ ≠ 3000

The test statistic :

(xbar - μ) ÷ (s/√(n))

xbar = 3500

μ = 3000

σ = 300

n = 30

(3500 - 3000) ÷ (350/√(30))

Test statistic = 7.824

Df = 30 - 1 = 29

Tcritical at 0.01 = 2.462

Test statistic > critical value ; we reject H0 ; and concluded that there is significant evidence that

μ ≠ 3000

Answer:

[tex]m(x) = 2 {x}^{3} - 3x + 12 \\ m( - 2) = 2 {( - 2)}^{3} - 3( - 2) + 12 \\ = 2[/tex]

Answer:

10km per hour

Step-by-step explanation:

Distance = speed * time

speed = distance/time

------------------------

Distance traveled

25 + 30 + 35 = 90 km

Time

2 + 3 + 4 = 9 hours

Average peed

90/9 = 10km per hour

[tex]\longrightarrow{\blue{B.\:5x\:+\:12}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

[tex]4 + x + x + 2x + 5 + 3 + x[/tex]

Combining like terms, we have

[tex] = x + x + 2x + x + 4 + 5 + 3[/tex]

Next, add them

[tex] = 5x + 12[/tex]

Therefore, ''[tex]\sf\pink{4 + x + x + 2x + 5 + 3 + x}[/tex]" is equivalent to "[tex]\sf\purple{5x\:+\:12}[/tex]."

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

B. 5x + 12.

Step-by-step explanation:

[tex]4 + x + x + 2x + 5 + 3 + x = ?[/tex]

Whenever you see variables without a visible coefficient, imagine there is a '1' in front of the variable.

[tex]4 +(1)x+(1)x+2x+5+3+(1)x=?[/tex]

From here, you can combine like terms.

Remember, combine means to add.

Like terms are terms whose variables (such as x or y) with any exponents are the same (such as x² or y²).

[tex](1)x+(1)x+2x+(1)x=5x.[/tex]

[tex]4+5+3=12.[/tex]

[tex]4+(1)x+(1)x+2x+5+3+(1)x=5x+12.[/tex]

I, therefore believe 5x + 12 is equal to 4 + x + x + 2x + 5 + 3 + x.

Answer:

0.6

Step-by-step explanation:

The third side of the triangle ABC is AB. Using the Pythagorean Theorem, its length is 12. [tex]12^{2} +16^2=20^2[/tex]

∠F is congruent to ∠C and so the sin(∠F) = sin(∠C)

The sin(∠C) = opposite/hypotenuse

= |AB| / |AC|

= 12/20

= 3/5

= 0.6

so the answer is 0.6

The line that is parallel to ​ line CD ​ in the figure is A. Line FA

From the provided information, line FA is the same distance from line CD at every point, meaning that these lines are parallel.

Parallel lines are lines on a flat surface that never meet or cross each other.

When two lines are straight from beginning to end, they are parallel. Their distance is always the same at all points.

Some properties of parallel lines include:

From the given figure, we can see that FA||CD.

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