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dolphi86 [110]
3 years ago
14

On Monday, Raven ran 2 3 4 miles; Tuesday, 2 3 5 miles; Wednesday, 2 1 2 miles; Thursday, 2 5 8 miles; and Friday, 2 7 10 miles.

On which day did she run the farthest?
Mathematics
2 answers:
dem82 [27]3 years ago
7 0

Answer:

you can cross them out one by one and end out with Monday.

mr_godi [17]3 years ago
3 0
Raven ran the farthest on Friday because even though all mixed fractions have the same whole number which is 2, 7/10 is higher than all fractions so 2 7/10 is higher than all which makes it the answer.
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A 36​-ft board is cut into 2 pieces so that one piece is 44 feet longer than 3 times the shorter piece. If the shorter piece is
Luda [366]

If the shorter piece is x feet long, the longer piece is 3x+4 feet long, and the total length is

... x + (3x+4) = 36

... 4x = 32 . . . . . . . . simplify, subtract 4

... x = 8

The shorter piece is 8 feet long; the longer piece is 28 feet long.

_____

You can do the math for the longer piece in your head: 36 ft - 8 ft = 28 ft.

3 0
3 years ago
Let p be the plane in space that intersects the x-axis at −5, the y-axis at −2, and the z-axis at 5. Find a vector v¯¯¯ that is
Lana71 [14]

Let P be the plane that intersects

  • x-axis at point (-5,0,0);
  • y-axis at point (0,-2,0);
  • z-axis at point (0,0,5).

Write the equation of the plane P:

\left|\begin{array}{ccc}x-(-5)&y-0&z-0\\0-(-5)&-2-0&0-0\\0-(-5)&0-0&5-0\end{array}\right|=0\Rightarrow \left|\begin{array}{ccc}x+5&y&z\\5&-2&0\\5&0&5\end{array}\right|=0.

Then

-10(x+5)+10z-25y=0,\\ \\2(x+5)-2z+5y=0,\\ \\2x+5y-2z=-10.

The coefficients at variables x, y and z are the coordinates of perpendicular vector to the plane. Thus

\vec{v}=(2,5,-2)\perp P.

Answer: \vec{v}=(2,5,-2).

7 0
4 years ago
1.
SCORPION-xisa [38]
Binomial means there are two terms, so c²<span> − 16 is the answer
mononomial means there is only one term, so -8c is the answer
written in descending form means from the highest degree (exponent) to the lowest, </span>4x²<span> − 3x + 9 is the answer for question 3.
Question 4: use the same method for question 3, the third term is -7x


Question 5: not sure what this is: </span><span>2x2y. Is it 2x</span>²y or 2x2y?
you need to add up the exponent of x and y. In this case, the highest degree is y's 4th power plus x's 1st power, which makes a 5.
<span>


</span>
7 0
3 years ago
Tasha believes that she can rewrite the difference of 120 minus 36 as a product of the GCF of the two numbers and the difference
xz_007 [3.2K]

Answer:

GCF = 12

For the values 36, 120:

Solution by Factorization:

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Then the greatest common factor is 12.



Pair Share:

The GCF of 120 and 36 is ======> 12

so, 120 – 36 can be written as:

12 × 10 – 12 × 3, which is 12 × (10 – 3) or 12 × 7.


Answer: ========> Therefore, Tasha is correct






Hope that helps!!!! : )




4 0
4 years ago
The diagram above shows a rectangle inscribed in a circle AB=10 and AC =12 caculate the total surface area of the shaded part
erastova [34]

Answer:

71.63 \: \: \mathrm{cm^2 }

Step-by-step explanation:

Once we know the diameter of the circle, we can figure out the problem.

The diameter of the circle = The diagonal of the rectangle inscribed in the circle

To find the diagonal of the rectangle, we can use a formula.

d=\sqrt{w^2 + l^2}

The width is 10 cm and the length is 12 cm.

d=\sqrt{10^2 + 12^2}

d \approx 15.62

The diagonal of the rectangle inscribed in the circle is 15.62 cm.

The diameter of the circle is 15.62 cm.

Find the area of the whole circle.

A=\pi r^2

The r is the radius of the circle, to find radius from diameter we can divide the value by 2.

r = \frac{d}{2}

r=\frac{15.62}{2}

r=7.81

Let’s find the area now.

A=\pi (7.81)^2

A \approx 191.625

Find the area of rectangle.

A=lw

Length × Width.

A = 12 \times 10

A=120

Subtract the area of the whole circle with the area of rectangle to find area of shaded part.

191.625-120

71.625 \approx 71.63

5 0
3 years ago
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