Which expression is equivalent to 8+18a−2+6a ? 30a 24a + 10 24a+6 8(1+2a)−(2+6a)

Mallory and Aimee save money for summer camp. They both plan to save the same amount of money. Mallory has 35$ and plans to save

Mrrafil [7]

Answer:

0.857 weeks

Step-by-step explanation:

Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...

M = 35 + 15x

A = 5 + 50x

Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money

35 + 15x = 5 + 50x ... subtract 5 and 15x from both sides

30 = 35x ... divide both sides by 35

$\frac{30}{35}$ or 0.857 = x

Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.

*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***

5 0

4 years ago

a. it is a multiple of 3,b. is greater then 100 ,c. it is not even, d.all digits are odd. whats the number?

uranmaximum [27]

Answer:

333.

Step-by-step explanation:

3•111=333

333>100

All the digits are odd...

4 0

3 years ago

The image has what type of symmetry? <br> Which is the proper answer

noname [10]

Simetría Traslacional

En este caso la imagen no se refleja, ni gira alrededor de una eje, sino que más bien es como si se multiplicara el objeto que aparece en ella, como ocurre por ejemplo con la siguiente fotografía.

si calculamos y planteamos todo lo dicho tendremos que:

AR=360/3=120

ojo:tambien se puede venir los calculos del cuadro de simetria y solo cuando se te presenta una sametrica indiguididuil bueno asi yo lo llamo espero te halla servido

4 0

4 years ago

What expression is equivalent to −10+(−40)+(−90) ?

Lyrx [107]

Answer:

2535

Step-by-step explanation:

8 0

4 years ago

A jeweler wants to make 14 grams of an alloy that is precisely 75% gold.. The jeweler has alloys that are 25% gold, 50% gold, &a

Goryan [66]

Given that the jeweler has alloys that are 25% gold, 50% gold, and 82% gold.

As he wants to make 14 grams of an alloy by adding two different alloys that is precisely 75% gold, so one alloy must have a percentage of gold more than 75%.

One alloy is 82% gold and, the second can be chosen between 25% gold, 50% gold, so there are two cases.

Case 1: 82% gold + 50% gold

Let x grams of 82% gold and y grams of 50% gold added to make x+y=14 grams of 75% gold, so

75% of 14 = 82% of x + 50% of y

$\Rightarrow 75/100 \times 14 = 82/100 \times x + 50/100 \times y \\\\$

$\Rightarrow 75/100 \times 14 = 82/100 \times x + 50/100 \times (14-x)$ [as x+y=14]

$\Rightarrow 75 \times 14 = 82 \times x + 50 \times (14-x) \\\\\Rightarrow 75 \times 14 = 82 \times x + 50 \times14-50\times x \\\\\Rightarrow 75 \times 14 = 32 \times x + 50 \times14 \\\\\Rightarrow 32 \times x =75 \times 14 - 50 \times14 \\\\$

$\Rightarrow x =(25 \times 14)/32=10.9375$ grams

and $y = 14-x= 14-10.9375=3.0625$ grams.

Hence, 10.9375 grams of 82% gold and 3.0625 grams of 50% gold added to make 14 grams of 75% gold.

Case 2: 82% gold + 25% gold

Let x grams of 82% gold and y grams of 25% gold added to make x+y=14 grams of 75% gold, so

75% of 14 = 82% of x + 25% of y

$\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times y \\\\\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times (14-x) \\\\ \Rightarrow 75 \times 14 = 82 \times x + 25 \times (14-x) \\\\\Rightarrow 75 \times 14 = 82 \times x + 25 \times14-25\times x \\\\\Rightarrow 75 \times 14 = 57 \times x + 25 \times14 \\\\\Rightarrow 57 \times x =75 \times 14 - 25 \times14 \\\\$

$\Rightarrow x =(50 \times 14)/57=12.28$ grams

and $y = 14-x= 14-12.28=1.72$ grams.

Hence, 12.28 grams of 82% gold and 1.72 grams of 50% gold added to make 14 grams of 75% gold.

3 0

3 years ago