help please I'll mark brainiest xx

Josh and his family are taking a family vacation. They travel 340 miles in 5 hours before stopping at a rest stop.
How far did the family get in 3 1/2 hours?

Answer:

x = 6

Step-by-step explanation:

Given:

The LCM of two numbers is 14 times their HCF.

The sum of LCM and HCF is 600.

One number is 280.

To find:

The other number.

Solution:

Let HCF of two numbers be x.

The LCM of two numbers is 14 times their HCF.

LCM = 14x

The sum of LCM and HCF is 600.

[tex]14x+x=600[/tex]

[tex]15x=600[/tex]

[tex]x=\dfrac{600}{15}[/tex]

[tex]x=40[/tex]

So, HCF = 40 and the LCM is

[tex]LCM=14(40)[/tex]

[tex]LCM=560[/tex]

We know that, if a and b are two numbers, then

[tex]a\times b=LCM(a,b)\times HCF(a,b)[/tex]

One number is 280.

[tex]280\times b=560\times 40[/tex]

[tex]b=\dfrac{560\times 40}{280}[/tex]

[tex]b=2\times 40[/tex]

[tex]b=80[/tex]

Therefore, the other number is 80.

Answer:

Attached

Step-by-step explanation:

Answer: $43.13

Step-by-step explanation:

The cost of a gallon of gasoline is $3.45.

Jenny bought 12.5 gallons of said gasoline. Her total cost is therefore:

= Cost of a gallon * number of gallons purchased

= 3.45 * 12.5

= $43.13

Answer:

43.14

Step-by-step explanation:

Answer: k = -8.66

Step-by-step explanation:

We have the equation:

k*x + 5*y = 10

First, let's rewrite this as a line in the slope-intercept form:

5*y = 10 - k*x

y = 10/5 - (k/5)*x

y = -(k/5)*x + 2

Now, we want to make an angle of 30° with respect to the y-axis.

Then we can think on a triangle rectangle, where we know one angle of 30°, the adjacent cathetus will be equal to the difference between the y-component and the y-intercept, and the opposite cathetus will be equal to the x-component.

To get this, we first need to evaluate the function in one given point, let's use x = 5. (we could use any value of x here, i use 5 because it is easier)

y = -(k/5)*5 + 2

y = -k + 2

then the cathetus of our triangle will be:

adjacent cathetus: (y - 2) = (-k + 2 - 2) = -k

opposite cathetus: x = 5.

Now we know the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

where a = 30°

Then:

Tan(30°) = 5/(-k)

-k = 5/tan(0.577) = 8.66

k = -8.66

This is the value of k that we wanted to find.

Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

Step-by-step explanation:

Let x = part of movie watched at night.

Given  : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.

Part left to watch = [tex]\dfrac13[/tex]

As per given, we have

[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]

Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.

The angles are given as:

∠1 = 10x-20 and ∠2 = 7x+4

As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.

By alternate exterior angles, it can be written as:

∠1 = ∠2

10x-20 = 7x+4

10x -7x = 4 + 20

3x = 24

x = 24/3

x = 3

From given angles:

80 - 20 = 60

56 + 4 = 60

Thus, the measure of each marked angle is 60 degrees.

Learn more about alternate exterior angles here:

https://brainly.com/question/23134598

#SPJ6

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

= $4,675

Answer:

$4675

Step-by-step explanation:

85,000 x .055 = 4,675

Hope that helps!

Answer: f(x)= -3x 2 -5x +8

Step-by-step explanation:

Answer:

9i

Step-by-step explanation

Also if I'm right can you let me know, please?

Also Also if I am right can I please have Brainliest??

You don't need to, I'm just glad I could help. ^^

You're a beautiful person, and worth so much, no matter your race or gender.

You deserve the world and more, and if I could give it to you, I would!

So please don't let anyone say otherwise, there are so many people in this world who love you, including me.

And if someone can't see your beauty then they're rather blind or you're just too bright for them!

Your amazing and I'm so proud of you for making it this far, so keep on with life, stay strong, and live long because I love you!

(Not in a weird way lol I love and care for everyone genuinely)

Answer:

[tex]h= 2x[/tex]

Step-by-step explanation:

Given

Square

[tex]Side = x[/tex]

Triangle

[tex]Base = x[/tex]

[tex]Altitude = h[/tex]

Required

Find h, if both shapes have the same area

The area of the square is:

[tex]Area = x * x[/tex]

[tex]Area = x^2[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} * Base*Height[/tex]

[tex]Area = \frac{1}{2} * x*h[/tex]

Equate both areas

[tex]x^2 = \frac{1}{2} * x*h[/tex]

Divide both sides by x

[tex]x = \frac{1}{2} *h[/tex]

Multiply both sides by 2

[tex]2*x = \frac{1}{2} *h*2[/tex]

[tex]2x = h[/tex]

[tex]h= 2x[/tex]

Answer:

2 pounds

Step-by-step explanation:

10-4-2.40=3.60

3.60/1.80= 2

Answer:

2 pounds

Step-by-step explanation:

Answer:

The anwer is below.

Step-by-step explanation:

To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.

an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5

To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.  

an example : 5,7, 8, 4 =  4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6

To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.

An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to

To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.

An example  5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4

Answer:

$552.90

Step-by-step explanation:

There are 52 weeks in a year

28,751/52= 552.9038462

since this is money you just round

Answer:

86

Step-by-step explanation:

add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86

Answer:

[tex]120x^4\sqrt{2}[/tex]

Step-by-step explanation:

First we need to break down the numbers in the radicals into its factors

so

12= 3*2*2

x³=x*x*x

Which means we have

[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]

and

[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]

Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here

which means we have

[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]

Answer:

m∠2=35°, m∠1=35°

Step-by-step explanation:

∠2 and ∠4 equal 180° when added, so 180-145=35

all angles of a triangle equal 180°, so 180-∠3-∠2=∠1

180-110-35= 35

Answer:

1cm³

Step-by-step explanation:

You do not need a calculator for this.

The formula for the volume of a rectangular prism is:

Length × Width × Height = Volume

If we substitute our numbers in:

5/4 × 4/3 × 3/5 = 1cm³

All you need to do is multiply across.

5 × 4 × 3 = 60

4 × 3 × 5 = 60

The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.

60/60

Answer:

x=1

Step-by-step explanation:

Add

16

to both sides of the equation.x=−15+16 Add −15 and 16.x=1

Answer:

Step-by-step explanation:

-16 + x = - 15

Add 16 to both sides

-16 + 16 + x  = -15 + 16

              x = 1

Answer:

Y=7.5

Step-by-step explanation:

Answer:

1) f(x) = 0.5*(x + 3)*(x - 4)

2) f(x) = -2*x^2 - 2*x + 12

Step-by-step explanation:

Wen we have a quadratic function like:

f(x) = a*x^2 + b*x + c*x

And it has roots at x1 and x2, we can write the function in the factored form as:

f(x) = a*(x - x1)*(x - x2)

then:

1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6

we have:

x1 = -3

x2 = 4

then we can write f(x) as:

f(x) = a*(x - (-3))*(x - 4)

f(x) = a*(x + 3)*(x - 4)

Where a is a real number.

and now we can use the fact that f(1) = -6

then:

f(1) = a*(1 + 3)*(1 - 4) = -6

       a*4*(-3) = -6

       a*-12 =  -6

       a = -6/-12 = 1/2 = 0.5

Then the function is:

f(x) = 0.5*(x + 3)*(x - 4)

2) Now we have roots x = 2 and x = .3

Then:

x1 = 2

x2 = -3

Then this function is something like:

f(x) = a*(x - 2)*(x - (-3))

f(x) = a*(x - 2)*(x + 3)

Now we know that f(0) = 12.

then:

f(0) = a*(0 - 2)*(0 + 3) = 12

         a*(-2)*3 = 12

          a*(-6) = 12

          a = 12/-6 = -2

f(x) = -2*(x - 2)*(x + 3)

And we do not want this one written in factored form, so we can just distribute the multiplications to et:

f(x) =  -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12

f(x) = -2*x^2 - 2*x + 12

Answer:

14

Step-by-step explanation:

delta math gave me the answer

The length of a to the nearest 10th of an inch is 13.6 inches.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

In ΔQRS q=9.6 inches r=9.9 inches and S=92.

So, s² = q² + r² - 2qr cos s

s² = 9.6² + 9.9² + 2(9.6)(9.9) cos 92.

s² = 190.71 + 190.08 x (-0.035)

s² = 183.52

s = 13.55

s = 13.6 inches

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ5

Answer: x = 2

Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2

answer

1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify  by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.

Answer:

56

42

35

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Remark

There are three rectangles all the same size.

There are two triangles both the same size

Triangles.

Givens

b = 7.5 cm

h = 6.5

Solution

Area 1 triangle =   1/2 * 7.5 * 6.5

Area 1 triangle = 24.375

Area 2 triangles = 2*24.375 =                            48.75

Rectangles

Givens

L = 13.5

w = 7.5

Solution

Area one rectangle = L*w

Area one rectangle = 13.5*7.5

Area one rectangle = 101.25

Area three rectangles =  3*101.25

Area three rectangles =                                   303.75    Add

Total Area =                                                      352.5