One ounce of solution X contains only ingredients a and b in a ratio of 2:3. One ounce of solution Y contains only ingredients a and b in a ratio of 1:2. If solution Z is created by mixing solutions X and Y in a ratio of 3:11, then 2520 ounces of solution Z contains how many ounces of a?
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Help Please Quickly

Answer:

see below

Step-by-step explanation:

If we are given the equation of a line in this format:

y=mx+b

then it is quite simple to find the gradient and y-intercept.

In the format:

y=mx+b

the m represents the gradient (slope) and b represents the y-interpcept.

1) y=2x+3

gradient= 2

y-intercept= 3

2) y=x-5

gradient=  1

y-intercept= -5

3) y=-2x-4

gradient= -2

y-intercept= -4

4) y=5-x

gradient= -1

y-intercept= 5

5) y=3x+8

gradient= 3

y-intercept= 8

6) y= 1/4x+3

gradient= 1/4

y-intercept= 3

Hope this helps! :)

Answer:

1/2 half of them are blondies

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 1/2 half of them are blondies

Answer:

P(not blue) = 1 - P(blue) = 1 - 10/50 = 40/50

= 4/5

P(2) = 5/20 = 1/4 = 25%

Check the picture below.

[tex]\textit{volume of a rectangular prism}\\\\ V=Lwh ~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=1\\ h=6\\ V=7\frac{1}{2} \end{cases}\implies 7\frac{1}{2}=w\cdot 1\cdot 6 \\\\\\ \cfrac{15}{2}=w\cdot 1\cdot 6\implies\cfrac{15}{2}=6w\implies \cfrac{15}{12}=w\implies \cfrac{5}{4}=w\implies 1\frac{1}{4}=w[/tex]

Answer:

sorry cant help you

Step-by-step explanation:

Answer:

5.906 x 10^9

Step-by-step explanation:

(6.25 x 10^9) − (3.44 x 10^8).

step 1: make the exponents have common value

Move decimal point of 3.44 to the left once and add 1 to it's exponents.

that is 3.44 x10^8 becomes 0.344 x 10^9

= 6.25 x 10^9 - 3.44 x 10^8

= 6.25 x 10^9 - 0.344 x 10^9

step 2: bring out the common factor 10^9 since the exponents are the same.

Also, subtract the decimal numbers.

= (6.25 -0.344) 10^9

6.25 - 0.344 = 5.906

Therefore, the result is 5.906 x 10^9.

Answer: 0.25

Step-by-step explanation:

2 divided by 8 is 0.25 therefore you have a 0.25 theoretical probability of landing on yellow.

Answer:18

Step-by-step explanation:

Answer:

A.

To express 1/2% as a decimal, you divide 1/2 by 100. You can use a fraction bar or a slash to indicate division. Like this:

1/2 ÷ 100 = 0.005

or

1/2 / 100 = 0.005

B.

To find the length that the planks are allowed to vary, you multiply the decimal value of 1/2% by the intended length of 8 feet. Like this:

0.005 · 8 = 0.04 foot

C.

To find the shortest and longest allowable planks, you subtract and add the variation length from and to the intended length of 8 feet. Like this:

Shortest: 8 - 0.04 = 7.96 feet

Longest: 8 + 0.04 = 8.04 feet

Answer:

When p = 7, the expressions have the following values:

- StartFraction 49 Over p EndFraction = StartFraction 49 Over 7 EndFraction = 7

- 5p = 5(7) = 35

- 45 - p = 45 - 7 = 38

- 25 + p = 25 + 7 = 32

Therefore, the expression that has a value of 35 when p = 7 is 5p.

Answer:

B) 5p

Step-by-step explanation:

We have to solve each equation for when p=7

Option A)

[tex]\frac{49}{p}\\ =\frac{49}{7}\\ =7[/tex]  This is incorrect.

Option B)

[tex]5p\\=5(7)\\=35[/tex]  This is correct.

Option C)

[tex]45-p\\=45-7\\=38[/tex]  This is incorrect.

Option D)

[tex]25+p\\=25+7\\=32[/tex]  This is incorrect.

Option B is correct, hope this helps! :)

Answer:

1.25 meters

Step-by-step explanation:

125 x 0.01 = 1.25

Answer:

13.3%

Step-by-step explanation:

102 min - 90 min = 12 min

So she was off by 12 minutes. As a fraction of her original guess, that is 12/90.

As a percentage, this is 13.3333...

Rounded to the nearest 10th of a percent (to 1 decimal place, 0.1) this is 13.3

Answer: 76m

Step-by-step explanation:

First, start by splitting the figure into 2 smaller rectangular prisms; this can be done vertically or horizontally. I'll solve both ways so you can understand better.

Method 1: Splitting the figure into 2 rectangles vertically

The formula for volume or a rectangular prism is V = Bh. So, you start by finding the base of rectangular prism 1, which you can solve by multiplying the width (2m) by the length (4m) which is given in the figure. This gives you 8m which is the base. Now, if you look at the figure you can see that the height is 5m, so to find the volume of rectangular prism 1, you would multiply 8m (the base) by 5m (the height), and the answer is 40m.

Next, you would solve the same way to find the volume of rectangular prism 2. The given length is 4m and you can figure out the width by subtracting 5m - 2m which gives you 3m. Now you know your base which is 4m. To solve for the height you must again subtract 5m - 2m to get 3m. To find the volume, plug the values into the formula and multiply 4 X 3 X 3. The volume of rectangular prism 2 should come out to be 36m.

The last step is to add both of these volumes together. The volume of rectangular prism 1 + volume of rectangular prism 2 = Volume of the entire figure. The final volume is 40m + 36m = 76m.

Method 2: Splitting the figure into 2 rectangles horizontally

The formula for volume or a rectangular prism is V = Bh. So, you start by finding the base of rectangular prism 1, which you can solve by multiplying the length (2m) by the width (4m) which is given in the figure. This gives you 8m which is the base. Now, if you look at the figure you can see that the height is 2m, so to find the volume of rectangular prism 1, you would multiply 8m (the base) by 2m (the height), and the answer is 16m.

Next, you would solve the same way to find the volume of rectangular prism 2. The given length is 5m and the given width is 4m. Now you know your base which is 4m. To solve for the height you must subtract 5m - 2m to get 3m. To find the volume, plug the values into the formula and multiply 5 X 4 X 3. The volume of rectangular prism 2 should come out to be 60m.

The last step is to add both of these volumes together. The volume of rectangular prism 1 + volume of rectangular prism 2 = Volume of the entire figure. The final volume is 16m + 60m = 76m.

Hope this helps!

Answer:

96 degrees

Step-by-step explanation:

180 - 84 = 96    

96 + 84 = 180

Formula used,

Area of rhombus = Base × height

Substituting the values,

[tex] \longrightarrow[/tex]Area = 18 × 15.5

[tex] \longrightarrow[/tex] Area = 279 cm²

Therefore, 279 cm² is the area of the rhombus .

Answer:

D) 279 cm²

Step-by-step explanation:

Area of a rhombus formula:
[tex]A=bh[/tex]

This formula is also used for squares and rectangles.

So, we can substitute in our values such as:

A=(18)(15.5)

simplify

A=279

Now, add our label and units:

A=279 cm²

Hope this helps! :)