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3 years ago

a bowl can hold 3 1/3 cups of water. a bowl can hold 2 3/5 timea the amount in the glass. how many cups can a bowl hold?

1 answer:

7 0

Since it says ''times'', you have to change the mixed numbers into fractions which will turn the equation into 10/3 x 13/5 which = 130/15. When you turn that into a mixed number, it changes into 8 10/15 or 8 2/3.

ANSWER: 8 2/3

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Estimate the sum by rounding each number to the given place value.

romanna [79]

Answer:

400,000

Step-by-step explanation:

The given sum is 164,215+216,088

We simplify this to get:

164,215+216,088=380,303

The digit at the hundred thousand position is the rightmost 3.

The digit after it is 8.

Since 8≥5 we round up.

We add 1 to 3 to get 4 and replace all digits to the right with zeros.

We round to the nearest hundred thousand to get:

400,000

6 0

3 years ago

A sail boat has a sail in the shape of an isosceles triangle. the base of the triangle is 16 feet in length. the height of the s

lapo4ka [179]

Answer:

160 feet^2

Step-by-step explanation:

base x high x 1/2

hope i'm right

3 0

3 years ago

Read 2 more answers

Which of the following shows the equation log2 8 = 3 written in exponential form?

Kobotan [32]

IT IS A HOPE THIS HELPS!!!
srry 4 caps

3 0

3 years ago

Read 2 more answers

Solve the system by substitution or elimination

OleMash [197]

X - y = 5,
x = 5 + y
substitute (x = 5 + y) into the first equation,
5 + y + 2y = -1
3y = -6
y = -2,
substitute y = -2 into (x - y = 5),
x + 2 = 5
x = 3

Hence, x = 3, y = -2

4 0

3 years ago

Find the length of the curve y = integral from 1 to x of sqrt(t^3-1)

Arlecino [84]

$y=\displaystyle\int_1^x\sqrt{t^3-1}\,\mathrm dt$

By the fundamental theorem of calculus,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm d}{\mathrm dx}\displaystyle\int_1^x\sqrt{t^3-1}\,\mathrm dt=\sqrt{x^3-1}$

Now the arc length over an arbitrary interval $(a,b)$ is

$\displaystyle\int_a^b\sqrt{1+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx=\int_a^b\sqrt{1+x^3-1}\,\mathrm dx=\int_a^bx^{3/2}\,\mathrm dx$

But before we compute the integral, first we need to make sure the integrand exists over it. $x^{3/2}$ is undefined if $x$ , so we assume $a\ge0$ and for convenience that $a$ . Then

$\displaystyle\int_a^bx^{3/2}\,\mathrm dx=\frac25x^{5/2}\bigg|_{x=a}^{x=b}=\frac25\left(b^{5/2}-a^{5/2}\right)$

6 0

3 years ago