Susan drove 50 miles on her trip before Rick began his drive. Susan drives at a rate of 30 miles per hour and Rick drives at a rate of 45 miles per hour. Write an equation to represent the situation where Susan and Rick will have driven the same miles.

Using the percentage concept, it is found that 0.2% of the people had a mild allergic reaction.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, 12 out of 6000 people had a reaction, hence:

[tex]P = \frac{12}{6000} \times 100\% = 0.2\%[/tex]

0.2% of the people had a mild allergic reaction.

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Answer:

13.93 miles

Step-by-step explanation:

From the given information:

we are being told that a drove 13 miles towards east from home.

and make a left turn due north, thus travel 5 miles.

The objective is to find the man's distance from his starting point(i.e. his home) to his place of work.

Let the horizontal base distance be x = adjacent side = 13 miles

Let the vertical distance be y = opposite side = 5 miles

Let the slant distance be z = hypotenuse side =  ??? (unknown)

Therefore, using the pythagoras theorem.

(hypotenuse)² = (opposite)² + (adjacent)²

z² = y² + x²

z² = 5² + 13²

z² = 25 + 169

z² = 194

[tex]z = \sqrt{194}[/tex]

z = 13.93 miles

Answer:

one of the three plots is (-2,4)

Step-by-step explanation:

The image of the division problem is missing, so i have attached it.

Answer:

D: He multiplied the divisor by 100 and the dividend by 10.

Step-by-step explanation:

From the image, we can see from the initial values, they are trying to divide 0.52 by 754.

In Mathematics, it means that 0.52 is the divisor while 754 is the dividend.

Now, the next step sees 0.52 changed to 52 while 754 changes to 7540.

Now, 0.52 to 52 means 0.52 was multiplied by 100.

This means that 754 should also be multiplied by 100 to give 75400 in order to retain the original answer that would have been gotten if we had divided 0.52 by 754.

Yet they used 7540.

Thus,the error is that he multiplied the divisor by 100 while he multiplied the dividend by 10.

Answer :

D - He multiplied the divisor by 100 and the dividend by 10.

Answer:

you need to add 2 to the x and convert it to negative   X=-2

Step-by-step explanation:

Answer:

I currently have $-68

Step-by-step explanation:

Answer:

A+(N-1)*D

10+(N-1)*(-7)

10+(-7N+7)

10-7N+7

-7N+17

Step-by-step explanation:

using this equation you can find the rest of the numbers in the sequence

Answer: 15 meters per second

Step-by-step explanation: Kilometers are 1,000 times larger than meters

Answer:

y=-4x+3

if you bring (2,-5) in other three lines.

you will know that it will be unreasonable that

-5=10

-5=-21

-5=-11

I can't see the choices real well, but I think it's b, 35%.

Answer:

B 35% is the answer

Answer:

y = -1/4x+2

Step-by-step explanation:

Answer:

y = -1/4x + 2

Step-by-step explanation:

We can tell that the line passes trough the point (0, 2), so the y-intercept is 2.

Let's calculate the slope by using rise over run. We see for every one unit down, it goes 4 units to the right. It also goes downward, so the slope is negative. So the slope is -1/4. Put it together...

y = -1/4x + 2

Hope this helps!

Answer:

(9,1)

Step-by-step explanation:

The required image of the point of (7, 0) after a translation right 2 units and up 1 unit is (9, 1).

As mentioned in the question, the image point of (7, 0) after a translation right 2 units and up 1 unit is to be determined.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,
The image point of (7, 0) after a translation right 2 units and up 1 unit is given as,
= (x + x', y + y')
= (7 + 2, 0 + 1)
= (9, 1)

Thus, the required image of the point of (7, 0) after a translation right 2 units and up 1 unit is (9, 1).

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Answer:

0, -1

1, 5

(Hope it helped)

Answer:

I believe the slope is 6  

Step-by-step explanation:

6x - y = 1

- y = - 6x + 1

-1 ( - y = - 6x + 1)

y = 6x + 1

6 = slope

Answer:

b

Step-by-step explanation:

Answer:

C. 0.5 times 1 = 0.5

Answer:

7.1349 * 102

Step-by-step explanation:

Hope this helps. Have a great day!

Answer:

2-10n=.............what. We can't figure out n given 2-10n without a solution

Step-by-step explanation:

Answer:

3, 3, 6,9,12 if that's wrong try 3, 3, 6, 12, 36, 144

Step-by-step explanation:

you just multiply the numbers together to get your answer

Answer: 2/3

Step-by-step explanation: The slopes of parallel lines are equal/the same but they have different y intercepts

Answer:

A

Step-by-step explanation:

Hope this helps

can you go to my profile and help me with my recent one. plzssss

Answer: A

Step-by-step explanation:

Answer:

-8.8x + 5

Step-by-step explanation:

See the attached picture.

Hope this helps!!!

The value of x is 0.57 in the given expression -0.8 x +40 - 8x -35

An expression is combination of variables, numbers and operators.

The given expression is -0.8 x +40 - 8x -35

Minus zero point eight times of x plus forty minus eight times of x minus thirty five

-0.8 x +40 - 8x -35

Add the like terms

-0.8x-8x+40-35

-8.8x+5

Isolate the variable x

-8.8x=-5

Divide both sides by 8.8

x=5/8.8

x=0.57

Hence, the value of x is 0.57 in the given expression -0.8 x +40 - 8x -35

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Answer:

Whichever line is curved like a semi-circle, arch, or a full circle.

Step-by-step explanation:

A compass is a tool used to draw curved lines.

Answer:

The first number: 14

The second number: 16

The third number: 18

Step-by-step explanation:

Equations

Let's assume:

x=the first even number.

x+2=the second even number

x+4=the third even number

The sum of all three is: x + x + 2 + x + 4

The condition states the sum decreased by 34 equals the first number:

x + x + 2 + x + 4 - 34 = x

Moving all the variables to the left side and the numbers to the right side:

x + x + 2 + x + 4 - 34 - x = 34 - 2 - 4

Simplifying:

2x =  28

Solving:

x = 28 / 2 = 14

The first number: 14

The second number: 16

The third number: 18

Answer:

DNE

Step-by-step explanation:

If x and y may be any real number, there is no minimum value for C. It can approach negative infinity.

If C is a constant, and the domain of x is all real numbers, there is no minimum for y. It can approach negative infinity.

We're not sure what you want or what restrictions may exist. The given relation does not suggest any minimum. We'd have to say it Does Not Exist

Hello there,

Use the first constraint to isolate y :

[tex]9x+2y\geq 35[/tex]

[tex]y \geq \frac{35-9x}{2}[/tex]

Now use the second one to isolate x :

[tex]x+3y\geq 14[/tex]

[tex]x\geq 14-3y[/tex]

You know that [tex]x\geq 0[/tex] and [tex]y\geq 0[/tex]

So what's the minimum value of x it's 0 ! Same for y !

So substitute x by 0 and y by 0

[tex]y\geq \frac{35}{2} =17.5[/tex]

[tex]x\geq 14[/tex]

So the minimum value of C is :

[tex]C=14+3*17.5[/tex]

[tex]\boxed{C=66.5}[/tex]

Hope it helps !

Photon

Answer:

well im in 7th sorry i cant help

Step-by-step explanation:

Answer:

6 years

Step-by-step explanation:

if we want to know how much i will get with interest

simple interest amount = principal amount × (rate / m) × n

plus the initial quantity

where m is 12 months per year

and n is the number of months

[tex]4451=2887(\frac{0.09}{12months/year})(n)+2887\\\\4451=2887[\frac{0.09}{12}(n)+1]\\\\(\frac{0.09}{12}\cdot n)+1=\frac{4451}{2887}\\\\\frac{0.09}{12}\cdot n=1.54-1\\\\n(0.09)=12(0.54)\\\\n=\frac{12(0.54)}{0.09}\\\\n=72.23\longleftarrow months[/tex]

so we need to convert it to years

[tex]72.23=12(6)+0.019[/tex]

6 years and 0 months

I apologize if there is some mistake in my answer

Answer: 4

Step-by-step explanation:

By the exterior angle theorem,

[tex]11x+32x=172\\\\43x=172\\\\x=\boxed{4}[/tex]

Answer:

The height increases as the ferris wheel goes up.

Step-by-step explanation:

Answer:

The ferris wheel goes up and that is the height and when the ferris wheel goes down that is the time so the line goes up and down just like the graph shown

Step-by-step explanation:

Answer:

Independent- c (number of chores)

Dependent- d (number of dollars)

Step-by-step explanation:

Answer:

+4sqrt(2)

Step-by-step explanation:

Note that the horizontal distance is 8 - 4, or 4 (which is the "run") and that the vertical distance is -3 - (-7), or 4 (which is the "rise").  Applying the Pythagorean Theorem, we get:

distance = length of hypotenuse = +sqrt(4^2 + 4^2) = +4sqrt(2)