All categories

3 years ago

Emily is entering a bicycle race for charity. Her mother pledges $0.30 for every 0.5 mile she

2 answers:

6 0

We know that her mother will donate 0.30 for every 0.5 miles she bikes. We can convert this to one mile, which is 0.60 cents per mile. We can now multiply by ten. This will gives us $6.

Another way to solve this is divide 10 by 0.5. This gives us 20, and if we multiply 20 by 0.30 we get $6.

sashaice [31]3 years ago

4 0

Answer:

The mother will donate $5

You might be interested in

Which number is greater 0.3 or -0.7? Explain

liubo4ka [24]

0.3 if a higher number because anytime there is a negative that means the number is below zero. 0.3 is barley above 0. But -0.7 is below zero

5 0

3 years ago

Read 2 more answers

Find the solution set of the following quadratic equations using the quadratic formula.

oksian1 [2.3K]

Answer:

<h3> 1) $x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2$ </h3><h3> 2) $x_1=-\dfrac13\,,\quad x_2=-3$ </h3>

Step-by-step explanation:

$x^2 - 7x + 9 = 0\quad\implies\quad a=1\,,\ b = -7\,,\ c=9\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot9}}{2\cdot1}=\dfrac{7\pm\sqrt{49-36}}2\\\\x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2$

<h3>2)</h3><h3> $3x^2 + 10x=-3\\\\3x^2+10x+3=0\quad\implies\quad a=3\,,\ b =10\,,\ c=3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-10\pm\sqrt{10^2-4\cdot3\cdot3}}{2\cdot3}= \dfrac{-10\pm\sqrt{100-36}}6\\\\x_1=\dfrac{-10+\sqrt{64}}6=\dfrac{-10+8}6=-\dfrac13\,,\qquad x_2=\dfrac{-10-8}6=-3$ </h3>

7 0

3 years ago

The radius of a cylindrical tank is 3' and the height is 8'what is the volume

valentinak56 [21]

Answer:

226 cubed foot (rounded to 3 s.f.)

Step-by-step explanation:

Volume of cyclinder: $\pi$ × r² × h

Volume of cylindrical tank = $\pi$ × 3² × 8

= 72 $\pi$

= 226 cubed foot (rounded to 3 s.f.)

7 0

3 years ago

What is the monthly finance charge if the average daily balance is $15, the daily periodic rate is 0.06%, and the number of days

MariettaO [177]

Given

The average daily balance is $15

The daily periodic rate = 0.06%

The number of days in the cycle is 30

Find out the monthly finance charge.

To proof

Let us assume that the monthly finance charge = x

As given in the question

The average daily balance = $15

daily periodic rate = 0.06%,

First convert 0.06% in decimal form

$=\frac{0.06}{100}$

= 0.0006

Daily finance charge = 0.0006 × 15

= 0.009

number of days in the cycle is 30

now

monthly finance charge

Than the equation becomes

x = 15 × 0.0006 × 30

x = 0.009× 30

x = $0.27

Thus the monthly finance charge is $0.27

Hence proved

4 0

3 years ago

Find the equation of the line through point (8, -9) and perpendicular to 3x +8y =4

gregori [183]

Answer:

3y = 8x - 91

y = 8/3 * x - 30 1/3

Step-by-step explanation:

First we can find the slope of the second line.

Let's rewrite the equation as 8y=44-3x.

After dividing both sides of the equation by 8 we'll get an equivalent equation y = 5.5 - 3/8 * x. The coefficient of x is the slope -> the slope is -3/8. In order for the line to be perpendicular to this line the product of the slopes of two lines should be equal to -1 or in other words the slopes have to be opposite reciprocals of each other. The reciprocal of -3/8 is -8/3. Opposite to it is 8/3. Now we know the slop and the coordinates of a point on the line (given). Let's make the equation of the line in the form of y = mx+ b. We can plug in values for m, y and x. m = 8/3(slope), y=-9 (second coordinate of the point), x = 8 (first coordinate). We got

-9 = 8/3 * 8 +b

Now we need to solve the equation to find b

b =-91/3 or -30 1/3

7 0

2 years ago

Read 2 more answers