Mathematics College

Olga’s family traveled 942 kilometers on the first day of their trip and 894.5 kilometers on the second day.



How many more meters did Olga’s family travel on the first day?


I'm in K12 and if you are too and have the answer, plz help

Answers

Answer 1

We have been given that Olga’s family traveled 942 kilometers on the first day.

And 894.5 kilometers on the second day.

We need to find how many more meters did Olga’s family travel on the first day.

Therefore, we must subtract the distance traveled in first day to the distance traveled in the second day of the trip.

Hence, the difference is given by

[tex]942-894.5\\ \\ 45.5[/tex]

Thus, Olga’s family travel 45.5 km more on the first day.


Related Questions

5u exponent 7 - 21u exponent 7

Simply

Answers

Assuming the given is: 5u^7 - 21u^7
Since both algebraic terms are identical (both are using u^7), we can subtract the coefficients directly, as in: 5 - 21 = -16
Therefore, 5u^7 - 21u^7 = -16u^7

dr. Trekcir has $875 to invest. he invests some of it in account#1 paying 8% annual interest and the rest of it in account#2 paying 4% annual interest. After 1 year total interest is $49.00. find hou much is invested in each account

Answers

Here's what the equation would look like (I'm using the variable n for the investments):
0.08n + 0.04(875-n) = 49
Multiply both sides by 100:
8n + 3500 - 4n = 4900
Simplify:
4n+3500=4900
Isolate n:
4n = 1400
n = 350
8% invested: 350
4% invested: 525

What is the value of x in the equation –6 + x = –2?
8
4
–4
–8

Answers

the answer is 4.... -6+4=-2

write an expression that represents the difference between t and 8

Answers

An expression could be x= t-8
Hello there, and thank you for posting your question here on brainly.

Short answer: t - 8

Why?

When we are finding the difference between two numbers, we are subtracting. So, the difference between t and 8 would be t - 8.

Hope this helped you! ♥

hello can you please help me posted picture of question

Answers

Total number of people = 10

Number of women = 6

Probability of selecting 1st women = 6/10
Probability of selecting 2nd women = 5/9
Probability of selecting 3rd women = 4/8

Probability that are 3 selected candidates are women = 6/10 x 5/9 x 4/8 = 1/6

So, the correct answer is option A

Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4

Answers

Final answer:

Given the lengths of the major and minor axes of an ellipse, one can derive the standard form equation of the ellipse. In this example, the lengths were 16 and 4, yielding a standard form equation of x²/4 + y²/64 = 1.

Explanation:

The subject of this question is about finding the standard form equation for an ellipse given the lengths of the major and minor axes. To find the equation of the ellipse, we need to identify the semi-major axis (a) which is half the length of the major axis, and the semi-minor axis (b), which is half the length of the minor axis.

In this case, the lengths of the major and minor axes are 16 and 4 respectively, which gives us a semi-major axis of 8 and a semi-minor axis of 2. The standard form equation of an ellipse with a vertical major axis is given by:

(x-h)²/b² + (y-k)²/a² = 1

Where (h, k) is the center of the ellipse. In this case, since the center of the ellipse is at the origin (0,0), the equation becomes:

x²/4 + y²/64 = 1

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The area of the parallelogram is 65 square miles. Find its base and height.

Answers

(base 13) (height 5)

(base 5) (height 13)
Area of parallelogram = base × height

Base = 13
Height = 5 

Or:

Base = 5
Height = 13

Hope this helped☺☺

A triangle has side lengths of 10 centimeters, 2 centimeters, and c centimeters.

Enter a value to complete the inequality that describes the possible values for c, the length of the third side of the triangle.

HELP ASAP I COULD GET A PRESIDENTIAL AWARD FOR THIS!!!

Answers

Answer:

12

Step-by-step explanation:

The possible values of the third side of the triangle can be written as, 8 < c < 12.

What is Triangle?

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given a triangle.

Side lengths of the triangle are 10 centimeters, 2 centimeters, and c centimeters.

We have to find the possible values of c.

By the triangle Inequality Theorem,

10 - 2 < c < 10 + 2

8 < c < 12

Hence the possible values of c are 9, 10 and 11.

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Suppose that 44% of all Americans approve of the job the President is doing. The most recent Gallup poll consisted of a random sample of 1,400 American adults.

a. What is the mean of the sampling distribution?

b. What is the standard deviation of the sampling distribution (don't forget to justify the use of the formula)?

c. Describe the normal approximation for this sampling distribution (don't forget to justify this) You can simply write as N (mean, standard deviation)

d. What is the probability that the Gallup poll will come up with a proportion within three percentage points of the true 44%

Answers

a) Mean = n × p, n is 1400 and p is 0.44, using what you know 0.44 (p)× 1400 (n) = 616

b) SD = √ (n×p×q) n 1400 p is 0.44 and q = 1-p=1-0.44=0.56

Iris is building a model of the Washington Monument. Her model measures 15 in. tall and is 1.5 in. wide at the base. The actual width measurement at the base of the Washington Monument is about 55 ft. About how tall is the Washington Monument?

Answers

Using how tall it is over how wide
=>tall/wide
The model 15in/1.5in
The actual x/55ft

Convert everything into the same units so 55ft to inches
There are 12in in 1ft
55ft * 12in/1ft
The ft cross out leaving in
55*12in= 660 in

So
15in/1.5in = x/660in
Now solve for x my multiplying both side by 660in
660in *15in/1.5in=x
x= 6600in tall




Answer: 550

Step-by-step explanation:Solve the proportion:  15 in./1.5 in. =  h/55 ft. The value of h is 550 ft. The Washington Monument is about 550 ft tall.

Suppose you have an isosceles triangle, and each of the equal sides has a length of 1 foot. suppose the angle formed by those two sides is 45^\circ. then the area of the triangle is

Answers

The triangle has a 45-deg angle.
The base angles are congruent and measure 67.5 deg.
The congruent sides measure 1 ft.
Use law of sines to find the length of the base.

[tex] \dfrac{\sin 67.5^\circ}{1~ft} = \dfrac{\sin 45^\circ}{b} [/tex]

[tex] b = \dfrac{\sin 45^\circ}{\sin 67.5^\circ}~ft [/tex]

[tex] b = 0.765~ft [/tex]

Draw a height from the vertex of the 45-deg angle to the base.
Half of the base is 0.765 ft/2 = 0.383 ft

We can find the height of the triangle using the small triangles.

0.383^2 + h^2 = 1^2

h = 0.9239 ft

A = bh/2 = 0.765 * 0.9239/2 ft^2

A = 0.354 ft^2
Final answer:

The area of a given isosceles triangle with sides of 1 foot in length and a 45-degree angle between these sides is 0.5 square feet.

Explanation:

The area of an isosceles triangle can be calculated using the formula 1/2 base times height. But since we know that the triangle is isosceles and the angle between the equal sides is 45 degrees, this forms a 45-45-90 degree triangle which is a special kind of triangle. In a 45-45-90 degree triangle, the lengths of the sides are in the ratio 1:1:√2. Therefore, the length of the base (which also serves as the height in this case) will be the same length as the equal sides, 1 foot. Substituting these into the formula for area, we get Area = 1/2 * 1 ft * 1 ft = 0.5 square feet.

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hello can you please help me posted picture of question

Answers

1/25, since there are 25 square in total and there is only one center square.
your answer would be 1/25 since there are 25 squares in all. The 1 as a denominator would come from the probability. 

A technique used to rewrite a quadratic function in standard form to vertex form is

Answers

The vertex form of a quadratic function is given by
                                      [tex]f(x)=a(x-h)^{2}+k, [/tex]
where (h,k) is the vertex of parabola. In some literatures, the standard form of the quadratic equation is written as 
                                     [tex]f(x)=a x^{2} +bx+c[/tex] 
Therefore, in order to avoid the confusion, the first equation is taken as a vertex form. When the standard form is converted into the vertex form, the process is called completing the square. 

Answer:

completing the square.

Step-by-step explanation:

trust me

Someone please help.

Answers

In the given geometric series, each next term is obtained by multiplying the previous term by a fixed number known as common ratio.

In this case the common ratio is -3.

As,

- 3.49 x -3 = 10.47
10.47 x - 3 = -31.41
and so on...

So, the next number of the series will be: 

94.23 x - 3= -282.69

Thus, the answer to this question is - 282.69 

A standard dartboard has a diameter of 18 in. What is its area to the nearest square inch?

Answers

The meaning of the area is the measurement of a surface in this case a circle, which can be find by using the formula [tex]A= \pi r^{2} [/tex], where r is equal to the radius of the circle.

In this exercise is given that the diameter of a standard cardboard is 18 inches or a radius of 9 inches and it is asked to find its area. Therefore, to find the area of the circle you should substitute the value of the radius into the previous mention formula.

[tex]A= \pi r^{2}[/tex]
[tex]A= \pi (9 in)^{2} [/tex]
[tex]A= \pi (81 in^{2})[/tex]
[tex]A=254.47 in^{2} [/tex]

The area of the standard dartboard is 254.47 square inches or 254 square inches.





A die is continuously rolled until the total sum of all rolls exceeds 375. what is the probability that at least 90 rolls are necessary?

Answers

Final answer:

To find the probability of at least 90 rolls being necessary for the total sum of all rolls to exceed 375, we need to consider the probabilities associated with each roll.

Explanation:

To find the probability of at least 90 rolls being necessary for the total sum of all rolls to exceed 375, we need to consider the probabilities associated with each roll.

The maximum possible sum from a single roll of a six-sided die is 6, so after 90 rolls, the maximum possible sum is 90 * 6 = 540. If the total sum exceeds 375, it means that at least one roll resulted in a value greater than 2.

To calculate the probability, we need to find the complement of the event that the total sum is less than or equal to 375, which is the event of the total sum being greater than 375. Let's assume that the probability of rolling a value greater than 2 is p. The probability of at least 90 rolls being necessary is 1 - (1 - p)^90.

The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of a lateral face is 105 cm2. Find: the volume of the prism

Answers

Since the base is a regular quadrilateral, each of its 4 sides must have length
  s = P/4
  s = (60 cm)/4 = 15 cm

The area of one lateral face is the product of side length and height.
  A = s×h
  105 cm² = (15 cm)×h
Then the height of the prism is
  h = (105 cm²)/(15 cm) = 7 cm

The area of the base is then
  B = s²
  B = (15 cm)² = 225 cm²

The volume of the prism is the product of its base area and height.
  V = Bh
  V = (225 cm²)×(7 cm) = 1575 cm³


The volume is 1575 cm³.

Can someone help with this math question

Answers

This is a problem of region. As shown in the figure, we have straight lines. We know that the equation for non-vertical lines is often given in the slope-intercept form by:
[tex]y=mx+b[/tex]

being m the slope of the line and b the y-intercept of it.

On the other hand, if x = 0 then y = b.

We will order the equations above without inequalities like this:

[tex]y=-x-6[/tex]

So, the G and J are straight lines with negative slope. We need to find the one that matches the inequality. Taking a point, for example (0, 0), we will analyze Figure J, so in the inequality:

[tex]0+0\ \textless \ -6[/tex]

This is false, so this statement doesn't match the Figure J. Therefore, the answer is G.




Q9 Q3.) Solve the matrix equation 4X + 5A = B

Answers

Hi there!

See pictures below for the answer! My handwriting isn't that good. Let me know if you can't read it :)

N a class, 20% of the students are male and 80% female. among male students, 40% wears eyeglasses; among female students, 30% wear eye glasses. if we select a student from the class at random, what is the probability that the student wears eyeglasses

Answers

[tex]|\Omega|=100\%=1\\ |A|=40\%\cdot20\%+30\%\cdot80\%=0.4\cdot0.2+0.3\cdot0.8=0.08+0.24=0.32\\\\ P(A)=\dfrac{0.32}{1}=0.32=32\%[/tex]

The elevation is 12,000 feet. the altimeter reading in an airplane is 17.00 in hg. this pressure is equal to

Answers

The elevation is 12,000 feet. the altimeter reading in an airplane is 17.00 in hg. this pressure is equal to:
There are 29.92inHg in 1 atm
thus
17 inHg×(1 atm/29.92inHg)
=17/29.92
=0.5682 atm

Answer: 0.5682 atm

if an object is propelled upward from a height of s feet at an initial velocity of v feet per second h=-16t^2+96t+8 after how many seconds is the height 116 feet?

Answers

654 is the answer for this question

solve the system using substitution method
3x+y=6
2x-4y=10

Answers

[tex]\left\{\begin{array}{ccc}3x+y=6&|-3x\\2x-4y=10\end{array}\right\\\\\left\{\begin{array}{ccc}y=6-3x\\2x-4y=10\end{array}\right\\\\substitute\ y=6-3x\ to\ the\ second\ equation\\\\2x-4(6-3x)=10\\\\2x-4\cdot6-4\cdot(-3x)=10\\\\2x-24+12x=10\\\\14x-24=10\ \ \ |+24\\\\14x=34\ \ \ \ |:14\\\\x=\dfrac{34}{14}\to x=\dfrac{17}{7}\\\\substitute\ the\ value\ of\ x\ to\ first\ equation\\\\y=6-3\cdot\dfrac{17}{7}=6-\dfrac{51}{7}=\dfrac{42}{7}-\dfrac{51}{7}=-\dfrac{9}{7}[/tex]

[tex]\boxed{\left\{\begin{array}{ccc}x=\dfrac{17}{7}\\\\y=-\dfrac{9}{7}\end{array}\right}[/tex]
[tex]\begin{cases}&3x + y = 6 \\&2x - 4y = 10\end{cases}[/tex]

Multiply 4 to the first equation:
[tex]\begin{cases}&12x + 4y = 24 \\&2x - 4y = 10\end{cases}[/tex]

ADD Equation 1 to Equation 2 and find x:
[tex]\begin{aligned}&14x =34 \\&x= 34/14 \\& x = 17/7\end{aligned} [/tex]

Substitute x = 17/7 and find y:
[tex]\begin{aligned}&3x + y = 6 \\&3 (17/7) + y = 6 \\& 51/7 + y = 6 \\&y = -9/7\end{aligned} [/tex]

Answer: x = 17/7, y  = -9/7

What percent of the scores were between 71 and 96

Answers

Any more info? Please?

a cube with side length s has a volume of 216 cubic centimeters. the equation s^3 = 216 shows the volume of a cube. what is the side length of the cube in centimeters

Answers

I would say 44 is the answer
s³ = 216   ⇒   s = ∛( 216 )

So you just need to take cubic root of 216.

Since 6³ = 216, then ∛( 216 ) = 6

So the side length of the cube would be 6 cm.

Hope this helps.

If the volume is 56 1/4 cubic feet and the length is 7 1/2ft and the width is 3 3/4ft what is the height?

Answers

The height is 2. Multiply 7.5 by 3.75 and you should get 28.125. Divide 56.25 by 28.125 and you will get 2. If you want to check, multiply 2 by 7.5 by 3.75 and you will get 56.25.

Ted researched the price of airline tickets and discovered a correlation between the price of a ticket and the number of miles traveled. After recording his data on a scatter plot, he determined the equation for the line of best fit is y = 300 + 0.45x. What does 0.45 represent in the equation? A) the lowest ticket price B) the number of miles traveled C) the expected change in the price of multiple tickets Eliminate D) the expected change in price of the ticket for each mile traveled

Answers

D) the expected change in price of the ticket for each mile traveled
Because it is a coloration between the two 
D) the expected change in price of the ticket for each mile traveled
Because it is a coloration between the two 

The foci of the hyperbola are ( 13 , 0) and (− 13 , 0), and the asymptotes are y = 12 x and y = − 12 x. find an equation of the conic section with the given properties. use x and y as the variables in your answer.

Answers

y=k+- a/b(x-h)

y=-+12x

12=a/b

a=12b

c²=a²+b²

(13,0) and (-13,0)

13²=(12b)²+b²

169=145b²

b= 13/12

169=a²+169/145

a²= 24336/145

x²/a²-y²/b²=1

145x²/24336 + 145y²/169=1



The equation of the conic section is [tex]\frac{145x\²}{24336} - \frac{145y\²}{169}=1[/tex]

The foci of the hyperbola are given as: (13,0) and (-13,0)

The asymptote is given as [tex]y =\pm 12x[/tex]

Divide both sides of [tex]y =\pm 12x[/tex] by x.

[tex]\frac yx = \pm 12[/tex]

Where y/x = a/b.

So, we have:

[tex]\frac ab = \pm 12[/tex]

Make a the subject

[tex]a = \pm 12b[/tex]

Recall that

[tex]c\²=a\²+b\²[/tex]

Where:

[tex]c = \pm13[/tex]

[tex]c\²=a\²+b\²[/tex] becomes

[tex](\pm 13)^2 = (\pm 12b)^2 +b^2[/tex]

[tex]169 = 144b^2 +b^2[/tex]

Evaluate like terms

[tex]169 = 145b^2[/tex]

Make b^2 the subject

[tex]b^2 = \frac{169}{145}[/tex]

Recall that [tex]a = \pm 12b[/tex]

Square both sides

[tex]a^2 = 144b^2[/tex]

Substitute  [tex]b^2 = \frac{169}{145}[/tex]

[tex]a^2 = 144 \times \frac{169}{145}[/tex]

[tex]a^2 = \frac{24336}{145}[/tex]

The equation of the conic section is represented as:

[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]

Substitute known values

[tex]\frac{x^2}{24336/145} - \frac{y^2}{169/145} = 1[/tex]

Rewrite as:

[tex]\frac{145x\²}{24336} - \frac{145y\²}{169}=1[/tex]

Hence, the equation of the conic section is [tex]\frac{145x\²}{24336} - \frac{145y\²}{169}=1[/tex]

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what is the solution to the equation 3sqrt(5x-4)=3sqrt(7x+8)

Answers

x = -6

However this is an extraneous solution since it would make the number under the sqrt a negative number. 

Answer:

The answer is:   'no solution'

Step-by-step explanation:

The given equation is:   [tex]3\sqrt{5x-4}=3\sqrt{7x+8}[/tex]

Dividing both sides of the equation by 3, we will get.....

[tex]\sqrt{5x-4}=\sqrt{7x+8}[/tex]

Taking square on both sides.....

[tex](\sqrt{5x-4})^2=(\sqrt{7x+8})^2\\ \\ 5x-4=7x+8\\ \\ 5x-7x=8+4\\ \\ -2x=12\\ \\ x=\frac{12}{-2}=-6[/tex]

Plugging this [tex]x=-6[/tex] back to the given equation......

[tex]3\sqrt{5(-6)-4}=3\sqrt{7(-6)+8}\\ \\ 3\sqrt{-34}=3\sqrt{-34}[/tex]

As we are getting a negative number inside the square root, so the equation becomes imaginary. Thus [tex]x=-6[/tex] is a restricted value.

Hence, there is 'no solution' for this equation.

If the radius of a cone is doubled and the height is tripled, what happens to the volume?

Answers

This is the answer . Have a nice day
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