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2 years ago

Which algebra problem shown below needs you to “combine like terms” on the left side BEFORE trying to solve for x?

Mathematics

1 answer:

butalik [34]2 years ago

5 0

B. is the answer because they have 2 variables that you need to combine “combine like terms”

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Dante and Mia have a total of 350 pennies in their piggy banks, altogether. After Dante lost half of his pennies and Mia lost on

tatuchka [14]

Answer:

150 pennies were lost altogether

Step-by-step explanation:

Let the initial number of pennies owned by Dante be x pennies

Let the initial number of pennies owned by Mia be y pennies

Mathematically ;

x + y = 350 •••••••(i)

So after losing half, dante will have x/2 pennies left.

Mia lost 1/3 so she will have 2/3y left

So after all the losses, they both had equal amount of pennies

This means that;

x/2 = 2y/3

Cross multiply;

3x = 4y •••••••(ii)

Let’s solve both equations simultaneously;

From i , x = 350-y

Substitute this into equation ii

3(350-y) = 4y

1050-3y = 4y

7y = 1050

y = 1050/7

y = 150

since x = 350-y

x = 350-150 = 200

Now Dante loss x/2 = 200/2 = 100

Mia lost 1/3y = 1/3 * 150 = 50

Total pennies lost = 100 + 50 = 150

7 0

3 years ago

Aldo takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $98 per credit

stealth61 [152]

Let Y = total cost of both schools.

The total cost would be ( number of credits at Westside x 98) + (number of credits at Pinewood x 115).

The total number of credits he is taking is 14.

If w is the number of credits at Westside, then for Westside you have 98w ( $98 times the number of credit hours)

The equation is now y = 98w + (number of credits at Pinewood x 115).

The number of credit hours at Pinewood would be the total credit hours 14 minus the credit hours at Westside w, so you have 14-w, which needs to be multiplied by the cost at Pinewood.

The equation is now y = 98w + 115(14-w)

This can be simplified using the distributive property to:

Y = 98w + 1610 - 115w

Y = -17w + 1610

6 0

3 years ago

NEED HELP ASAP<br><br><br> Find f(-2) for f(x) = 2(4)^x

viktelen [127]

Answer:

A.) $\frac{1}{8}$

Step-by-step explanation:

f(-2) means plug in -2 in for x for the equation f(x), therefore,

f(-2) = $2(4)^x = 2(4)^{-2} = \frac{1}{8}$

4 0

2 years ago

Clarice adopted a puppy at the pound. He weighed 3.2 lb when she adopted him. Clarice graphed on a number line the weight of her

Dafna11 [192]

C.) rational numbers

5 0

3 years ago

The Carousel at Carowinds has 4 rings of horses. Fred is riding on the inner ring, which has a radius of 7 feet. Juan is riding

nikdorinn [45]

Answer:

Juan travel 31.4 feet farther than Fred in one rotation.

Step-by-step explanation:

In this problem we need to determine the change in linear position of Fred and Juan, whose formula is:

$s=\theta \cdot r$ (Eq. 1)

Where:

$r$ - Radius, measured in feet.

$\theta$ - Angular arch, measured in radians.

$s$ - Change in linear position, measured in feet.

If both makes one rotation in the carousel, we obtain the change in linear position of each player:

Fred ( $r = 7\,ft$ , $\theta = 2\pi$ )

$s= 2\pi\cdot (7\,ft)$

$s = (3.14)\cdot (7\,ft)$

$s = 21.98\,ft$

Juan ( $r = 17\,ft$ , $\theta = 2\pi$ )

$s= 2\pi\cdot (17\,ft)$

$s = (3.14)\cdot (17\,ft)$

$s = 53.38\,ft$

And the difference between both travelled distances is:

$\Delta s = 53.38\,ft-21.98\,ft$

$\Delta s = 31.4\,ft$

Juan travel 31.4 feet farther than Fred in one rotation.

4 0

3 years ago