Please Help ! Thank You

Connie went shopping and spent one-half of her money at Allen's Grocery Store. She then spent one-third of what she had left at

gulaghasi [49]

Answer:

$30

Step-by-step explanation:

6 • 1/3 = 18

18 • 1/2 = 36

36 - 6 = 30

3 0

3 years ago

You and your friend each collect rocks and fossils. Your friend collects three times as many rocks and half as many fossils as y

pochemuha

Answer:

I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

Step-by-step explanation:

The number of total objects collected by me = 20

The number of objects collected by my friend = 20

Let us assume:

The number of rocks collected by me = m

The number of fossils collected by me = 2 k

⇒ m + 2 k = 20 .... (1)

So, according to the question:

The number of rocks collected by my friend = 3 x (rocks collected by me)

= 3 x (m) = 3 m

The number of fossils collected by my friend = 1/2 x (fossils collected by me) = 1/2 x (2k ) = k

⇒ 3 m + k = 20 .... (2)

Solving (1)and (2) for the value of m and k, we get:

m + 2 k = 20 ⇒ m = 20 - 2 k ... Put this in (2)

3 m + k = 20 ⇒ 3 (20 - 2 k) + k = 20

⇒ 60 - 6 k + k = 20

or, - 5k = -40

or, k = 40/5 = 8

⇒ k= 8

m + 2(8) = 20

or, m = 4

Hence, the number of rocks collected by me = m = 4

The number of fossils collected by me = 2 k = 2 (4) = 16

Hence, the number of rocks collected by my friend = 3 m = 3 x 4 = 12

The number of fossils collected by my friend = k = 8

Hence, I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

4 0

2 years ago

A retangle has a perimeter (p) of 58 inches. The length (L) is one more than 3 times the width (W)

worty [1.4K]

The rectangle has a perimeter P of 58 inches.The length l is one more than 3 times the width w.write and solve a system of linear equations to find the length and width of the rectangle?

Answer:

Length(L)=22 inches

Width(W) = 7 inches

Step-by-step explanation:

GIven:-

Perimeter (p)=58 inches,

Length(L)= one more than 3 times the width(W)

Let, W=x ---------------------------------(equation 1

$L=3x+1$ -----------------------(equation 2)

Here x is unknown and to find the Width(W) we have to find the value of x.

Now,

Perimeter of rectangle(p) = 2 times length(L) + 2 times width(W)

$p=2L+2W$

$p=2(3x+1)+2x$ ----------------(from equation 1)

$58=6x+2+2x$ ----------------(given p=58 inches)

$58=8x+2$

$8x=58-2$

$8x=56$

$x=\frac{56}{8}$

$x=7$ ----------------------(equation 3)

Now substituting the value of equation 3 in equation 2.

$L=3x+1$

$L=(3\times 7)+1$

$L=21+1$

$L=22$

$L=22 inches$

as, $W=x$ -----------------------(from equation 1)

$W=7$ inches -------------------(equation 3)

Therefore, Length(L) = 22 inches and Width(W) = 7 inches.

7 0

3 years ago

The hypotenuse of a 45°-45°-90° triangle measures 7√2 units. what is the length of one leg of the triangle

Leto [7]

7 because a(one side)= 1/sqrt2 * hypotenuse (7*sqrt2) THis equals 7

8 0

2 years ago

Read 2 more answers

Consumer Math The sales tax in the town where Amanda lives is 7%. Amanda paid $35 in sales tax on a new stereo. What was the pri

Natasha2012 [34]

Answer

Find out the what was the price of the stereo .

To prove

Let us assume that the price of the stereo be x .

As given

Consumer Math The sales tax in the town where Amanda lives is 7%.

7% is written in the decimal form

$= \frac{7}{100}$

= 0.07

As given

Amanda paid $35 in sales tax on a new stereo .

Than the equation becomes

x × 0.07 = 35

$x = \frac{35}{0.07}$

solving the above

x = $ 500

Therefore the price of the stereo is $ 500 .

Hence proved

5 0

3 years ago