Two tanks hold a total of 39 gallons of a toxic solvent one tank holds 3 gallons more than twice the amount in the other how many gallons does each tank hold

Answer:

$68.75 cents

Step-by-step explanation:

Given the following question:

25% of 55

In order to find the answer, we must first use the formula to calculate percentages to calculate 25% of 55, then we use that answer to add on the initial amount.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{25\times 55}{100} =25\times55=1375\div100=13.75[/tex]
[tex]=13.75[/tex]

Now add:
[tex]55+13.75=68.75[/tex]
[tex]=68.75[/tex]

After a 25% increase on an item that costs 55 dollars, the new sale price will cost "$68.75 cents."

Hope this helps.

Answer:

see below

Step-by-step explanation:

Line 2 (the line that is darker in your pic) is wrong because the sign for 8 goes from "+" to "-". It should be +4x-8 in order for it to be correct

Answer:

[tex]A(t)=-1.8t-4.5[/tex]

Step-by-step explanation:

Mr.Mole's digging can be described by a linear model of general equation:

[tex]A(t)=m*t+c[/tex]

Where "m" is the rate at which he descends. Note that since the function A(t) measure his altitude relative to the ground, the rate "m" must be negative.

[tex](m=-1.8)[/tex]

[tex]A(t)=-1.8*t+c[/tex]

The constant "c" is his starting position. To find this value, assign the given data at t = 5 min to the equation above

[tex]-13.5=-1.8*5+c\\c=-4.5m[/tex]

Therefore, the function A(t) is described by the following formula:
[tex]A(t)=-1.8t-4.5[/tex]

same answers just different way to put them

25 ²²/27

697/27

25.814

It can be deduced that the null hypothesis is H: p = 0.25 and the alternative hypothesis is H: p > 0.25.

It should be noted that null and alternate hypothesis are written based on the population parameter.

From the information given, the claim is that they card was identified significantly more than chance would suggest. The proportion of card selected will be:

= 1/4 = 0.25

Therefore, the null hypothesis is H: p = 0.25 and the alternative hypothesis is H : p > 0.25.

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Interest = 500

Step-by-step explanation:

Interest = [tex] \frac{p∗r∗t}{100} \\ [/tex]

p = principal amount , r = rate , t = time

Interest=[tex] \frac{10000 \times 5 \times 1}{100} \\ [/tex]

Interest = 500

Answer:

interest = RS. 500

Step-by-step explanation:

interest= 100/p*r*t

p∗r∗t

​p = principal amount , r = rate , t = time

interest= 100/10000∗5∗1

​

Answer:

the distance between city C and D is 7.6 inches

given:

solving similarities:

[tex]\hookrightarrow \sf \dfrac{5616 }{8.5 } = \dfrac{5041 }{x}[/tex]

change sides

[tex]\hookrightarrow \sf 5616x = 5041(8.5)[/tex]

simplify

[tex]\hookrightarrow \sf 5616x = 42848.5[/tex]

change sides

[tex]\hookrightarrow \sf x = \dfrac{42848.5}{5616}[/tex]

simplify

[tex]\hookrightarrow \sf x = 7.62972[/tex]

rounded to nearest one decimal place

[tex]\hookrightarrow \sf x = 7.6[/tex]

Let that be x

[tex]\\ \rm\bull\rightarrowtail \dfrac{8.5}{5616}=\dfrac{x}{5041}[/tex]

[tex]\\ \rm\bull\rightarrowtail 0.0015=\dfrac{x}{5041}[/tex]

[tex]\\ \rm\bull\rightarrowtail x=0.0015(5041)[/tex]

[tex]\\ \rm\bull\rightarrowtail x=7.6in[/tex]

Answer:

67.5 UNITS 2

Step-by-step explanation:

1/2 x 3 x 5 = 7.5

35 + 25 + 7.5 = 67.5 units 2

The area of a 2D form is the amount of space within its perimeter.The area of the compound figure is 67.5 units².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units, such as cm², m², etc. To find the area of a square formula or any other quadrilateral, multiply its length by its width.

The area of the compound figure will be the sum of the different shapes and can be named as shown below.

The area of the compound figure = Area of triangle A + Area of triangle B + Area of rectangle C + Area of triangle D

[tex]\text{The area of the compound figure} = (0.5 \times 7 \times10) + (0.5 \times 5 \times5) + ( 5\times 3 ) +(0.5\times5\times2)\\\\\text{The area of the compound figure} = 35 + 12.5 + 15 + 5\\\\\text{The area of the compound figure} = 67.5\rm\ units^2[/tex]

Hence, the area of the compound figure is 67.5 units².

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Answer:

-10

Step-by-step explanation:

The required value of x is -1 when f(x) = –3 for the given function. The correct answer is option (D) -1.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The given table represents the function f(x).

x      f(x)

-4   -66

-3   -29

-2    -10

-1      -3

0     -1

1     6

We are given a table representing the function f(x) and we need to find the value of x when f(x) = –3.

From the given table, we can see that when x = –1, f(x) = –3. Therefore, the answer is -1.

Hence, the correct option is:

(D) -1

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Answer:

-3.5 14

Step-by-step explanation:

2y=-7x+28

y=-3.5x+14

Answer:

Y-intercept = (0, 14) and Slope = -7/2

Step-by-step explanation:

7x + 2y - 15 = 13

2y = -7x + 28

y = -7/2x + 14

Slope = -7/2

Y-intercept = (0, 14)

Answer:

357

Step-by-step explanation:

Multiply: 340*1.05=357

Answer:

area of trapezium: 740 cm²

Step-by-step explanation:

[tex]\sf {Area \ of \ trapezium = \frac{1}{2}* (base \ 1 \ + base \ 2) \ * height }[/tex]

Given here:

using the formula:

[tex]\sf {Area \ of \ trapezium = \frac{1}{2}* (base \ 1 \ + base \ 2) \ * height }[/tex]

solve:

[tex]\sf {\frac{1}{2}* (34 \ + 40) \ * 20}[/tex]

[tex]\sf {\frac{1}{2}* (74) \ * 20}[/tex]

[tex]\sf 74 * 10[/tex]

[tex]\sf 740[/tex]

Answer:

7n + 8 = 12

Step-by-step explanation:

I believe you're looking for an algebraic equation, but let me know if you need it to be solved! :)

Answer:

92

Step-by-step explanation:

Number equal to 12 is 12 ~ 8 added to the number (addition)

7 * 12 = 84

84 + 8 = 92

Step-by-step explanation:

40 increases to 56.

To find the percent increase:

Subtract the increased value from the original value.

Divide the difference by the original value.

Multiply the quotient by 100 to represent the percent.

Solve:

[tex]56 - 40 = 16[/tex]

[tex]16 \div 40 = 0.4[/tex]

[tex]0.4 \times 100 = 40[/tex]

There's a 40% increase.

Step-by-step explanation:

only option (b) will give u 7x^2 + 16x -15

Answer:

A 61377

B 87405

Step-by-step explanation:

If sum of the digits of a number is divisible by 3, then that number is also divisible by 3.

Option A:

Given number is: 61377

Sum of the digits = 6+1+3+7+7 = 24

24 is divisible by 3, hence 61377 is also divisible by 3.

Option B:

Given number is: 87405

Sum of the digits = 8+7+4+0+5 = 24

24 is divisible by 3, hence 87405 is also divisible by 3.

Option C:

Given number is: 30898

Sum of the digits = 3+0+8+9+8 = 28

28 is not divisible by 3, hence 30898 is also not divisible by 3.

Similarly, sum of the digits of the numbers in options D, E and F are 8, 22 and 26 respectively, which are not divisible by 3, hence the numbers 6020, 29830 and 75932 are also not divisible by 3.

Answer:

-5/4

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

   = ( -3 -2)/( 3 - -1)

   = ( -3-2 ) /( 3+1)

   = -5/4

Answer:

m = -5/4

Step-by-step explanation:

The slope formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

Therefore, m = -5/4.

Answer:

1) geometric sequence

2) geometric sequence

3) arithmetic sequence

Step-by-step explanation:

First two sequences are geometric sequences

The geometric sequences are  sequences where each term is made by multiplying the preceding term by the same value

In here the first sequence is multiplied by 4

the second one is multiplied by -3

The third one however is set by adding 5 to the number each time

So the third one is an arithmetic sequence

Answer:

a = 4

Step-by-step explanation:

2a + 7 = 15

     - 7  - 7

2a = 8

/2   /2

a = 4

Hope this helps!

Answer:

a=4

Step-by-step explanation:

We need to find a way to get (a) alone on one side.
first, we will subtract 7 from 15 to get 8.
Next, We will divide 8 by 2. to get 4

your work should look like this.
2a+7=15
2a=15-7
2a=8
a=8/2
a=4

To find a linear question, we must have two points on the line and we must know the slope.

Let us choose two points at random:

    (-6,12)    and    (-5,14)

Now let us find the slope of the linear line:

 [tex]m = \frac{y2-y1}{x2-x1} =\frac{14-12}{-5--6} = 2[/tex]

   So the slope is 2.

Now let us set up the equation which now requires only one point and the slope

      let us use the point (-6,12) and the slope of 2

      [tex]y-12 = 2(x+6)\\y = 2x +12 +12\\y= 2x +4[/tex]

So the linear line is y = 2x + 4.

Hope that helps!

Answer:

x = 54, so the vertical angles are 110°.

Step-by-step explanation:

[tex]2x + 2 = 3x - 52[/tex]

[tex]2 = x - 52[/tex]

[tex]x = 54[/tex]

[tex]2(54) + 2 = 108 + 2 = 110[/tex]

[tex]3(54) - 52 = 162 - 52 = 110[/tex]

Answer:

3 3/10

Step-by-step explanation:

proof is in the picture :)

The radius of circle is 3/17 1/2 inhces whose diameter is 635 inch.

We have,

The diameter of circle is 635 inches.

Also, we know that the radius of circle is half of the diameter.

So, r= d/2

Then, the radius of circle is

= 635/ 2

= 317 1/2

Thus, the required radius is 317 1/2 inches.

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Answer:

22.04

Step-by-step explanation:

Answer:

Slope = m = 10/3 and y-intercept = (0, 16/3)

Step-by-step explanation:

-10x + 3y - 6 = 10

3y = 10x + 16

y = 10/3x + 16/3

Slope = m = 10/3

y-intercept = (0, 16/3)

Recall the half-angle identity,

cos²(x/2) = (1 + cos(x))/2

This means

[tex]\cos^2\left(\dfrac12 \arccos\left(-\dfrac{12}{13}\right)\right) = \dfrac{1 + \cos\left(\arccos\left(-\frac{12}{13}\right)\right)}2 = \dfrac{1 - \frac{12}{13}}2 = \boxed{\frac1{26}}[/tex]

Answer:

C) 180° < theta < 270°

Step-by-step explanation:

Hope this helps

Answer:

n=4

Step-by-step explanation: