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3 years ago

10

Ezra is participating in a walk for charity. he knows hecan walk 3 miles in 45 minutes. at that rate, how long will it take ezra

to walk 26 miles

1 answer:

damaskus [11]3 years ago

6 0

It will take Ezra 6.5 hours to walk 26 miles. Hope it help!

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John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs

mezya [45]

Answer:

The number of Pumpkin can used = 48 cans

The number of Green Beans can used = 16 cans

Step-by-step explanation:

The ratio of Pumpkin to Green Beans = 3 : 1

So, for every 3 can of Pumpkin, 1 can of green beans is used.

Now, the total number of John wants to use = 64

Let us assume the common factor in the ratio is m.

⇒ The number of Pumpkin can used = 3 m

The number of Green Beans can used = 1 m = m

So, the Total cans used = Number of (Pumpkin + Green Beans) can

⇒ 3 m + m = 64

or, 4 m = 64

⇒ m = 64/ 4 = 16

Hence, The number of Pumpkin can used = 3 m = 3 x 16 = 48 cans

The number of Green Beans can used = m = 16 cans

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3 years ago

$248.62 rounded to the nearest dollar

nata0808 [166]

$249.......................................

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3 years ago

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How do you write 72 in inches

Reptile [31]

72 what in inches? please clarify

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2 years ago

Prove algebraically that the straight line with equation x=2y+5 is a tangent to the circle with equation x^2+y^2=5

zmey [24]

Differentiate both sides of the equation of the circle with respect to $x$ , treating $y=y(x)$ as a function of $x$ :

$x^2+y^2=5\implies2x+2y\dfrac{\mathrm dy}{\mathrm dx}=0\implies\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac xy$

This gives the slope of any line tangent to the circle at the point $(x,y)$ .

Rewriting the given line in slope-intercept form tells us its slope is

$x=2y+5\implies y=\dfrac12x-\dfrac52\implies\mathrm{slope}=\dfrac12$

In order for this line to be tangent to the circle, it must intersect the circle at the point $(x,y)$ such that

$-\dfrac xy=\dfrac12\implies y=-2x$

In the equation of the circle, we have

$x^2+(-2x)^2=5x^2=5\implies x=\pm1\implies y=\mp2$

If $x=-1$ , then $-1=2y+5\implies y=-3\neq2$ , so we omit this case.

If $x=1$ , then $1=2y+5\implies y=-2$ , as expected. Therefore $x=2y+5$ is a tangent line to the circle $x^2+y^2=5$ at the point (1, -2).

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3 years ago

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What is 98.704 in expanded using powers of ten

Tomtit [17]

Answer:

$9.8704 * 10^1$

Step-by-step explanation:

The standard form is called the scientific notation expressed generally as;

$A * 10^n$

A is an integer between 1 and 10

n is ant integer or fraction

Given the decimal value 98.704, we ill shift the decimal point to the back once to have;

98.704 = $9.8704 * 10^1$

<u>Note the when the decimal point is shifted backwards the value of n is always positive</u>. Hence the expansion in power of 10 is $9.8704 * 10^1$

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2 years ago