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3 years ago

5

Andrew plays football. On one play, he ran the ball 24 2/3 yards. The following play, he was tackled and lost 3 1/3 yards. The n

ext play, he ran for 5 1/4 yards. The team needs to be 30 yards down the field after these three plays. How many yards was gained?
Did they meet their yard goal?
How much more is needed or how much were they over

1 answer:

Gelneren [198K]3 years ago

8 0

Answer:

33 3/12

Step-by-step explanation:

i’m pretty sure this is right :)

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A stack of nickels has a mass of 45g. There are 9 nickels in the stack. What is the mass of one nickel?

melisa1 [442]

The answer is 5g!!!!

8 0

3 years ago

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Isabel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $46 and costs an a

zaharov [31]

The missing part of the question is "For what amount of driving do the two plans cost the same"

The amount of driving that do the two plans cost the same is 450 miles

Step-by-step explanation:

Isabel will rent a car for the weekend. She can choose one of two plans

The first plan has an initial fee of $46 and costs an additional $0.13 per mile driven
The second plan has an initial fee of $55 and costs an additional $0.11 per mile driven

We need to find for what amount of driving do the two plans cost the same

Assume that she will drive for d miles

The first plan:

∵ The initial fee is $46

∵ The additional cost is 0.13 per mile

∵ She will drive for d miles

- The cost of her trip is the sum of $46 and the product of

0.13 and d

∴ The cost = 46 + 0.13 d ⇒ (1)

The second plan:

∵ The initial fee is $55

∵ The additional cost is 0.11 per mile

∵ She will drive for d miles

- The cost of her trip is the sum of $55 and the product of

0.11 and d

∴ The cost = 55 + 0.11 d ⇒ (2)

∵ The cost of the two plans is the same

- Equate (1) and (2) to find d

∴ 46 + 0.13 d = 55 + 0.11 d

- Subtract 46 from both sides

∴ 0.13 d = 0.11 d + 9

- Subtract 0.11 d from both sides

∴ 0.02 d = 9

- Divide both sides by 0.02

∴ d = 450

The amount of driving that do the two plans cost the same is 450 miles

Learn more:

You can learn more about the word problems in brainly.com/question/3950386

#LearnwithBrainly

5 0

4 years ago

Refer to the picture above

vodomira [7]

Answer:

3.14

Step-by-step explanation:

First find the circumference of the circle:

$2\pi r$ = Circumference.

$2 * \pi * 6$ = $12\pi$

Find the ratio of the angle in relation to the entire circle:

$30^o$ is what we have. So:

$\frac{30^o}{360^o} = \frac{1}{12}$

Use the ratio and multiply the circumference to find the length:

$12\pi * \frac{1}{12}$ = $\pi$

Round answer to the hundredth:

$\pi = 3.14$

4 0

3 years ago

Read 2 more answers

aura, brian and eric have a total of $86 in their wallets. eric has 2 times what brian has. laura has $6 less than brian. how mu

Law Incorporation [45]

Answer:

The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46 .

Step-by-step explanation:

The sum of total money does Aura , Brain , Eric have = $86

The money that Eric has = 2 times money that Brain has

The money that Aura has = $6 less than that Brain has

Let The money that Aura has = $A

Let The money that Brain has = $B

Let The money that Eric has = $E

Now, According to question

∵ Sum of total money does Aura , Brain , Eric have = $86

So, $A + $B + $E = $86

Or, A + B + E = 86 .........1

Again

E = 2 × B ..........2

Again

A = B - 6 ..........3

So, (B - 6) + B + 2 B = 86

Or, (B + B + 2 B) = 86 + 6

Or, 4 B = 92

∴ B = $\dfrac{92}{4}$

i.e B = 23

So,The money that Brain has = B = $23

Putting the value of B in eq 2

∵ E = 2 × B

So, E = 2 × 23

Or, E = 46

So,The money that Eric has = E = $46

Putting the value of B in eq 3

∵ A = B - 6

So, A = 23 - 6

Or, A = 17

So,The money that Aura has = A = $17

Hence, The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46 . Answer

6 0

3 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).

7 0

4 years ago

Read 2 more answers