1.) Write .378 as a fraction in simplest form

Answer:

15:6:14

Step-by-step explanation:

AB:BD is split into a total of 3+4=7 parts.

AC:CD is split into a total of 3+2=5 parts.

So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).

AB would be (3/7)*35=15.

CD would be (2/5)*35=14

BC would be 35-(15+14)=6

So, the ratio is 15:6:14.

Answer:

$100

Step-by-step explanation:

sum the parts of the ratio, 2 + 5 = 7 parts , then

$350 ÷ 7 = $50 ← value of 1 part of the ratio , then

2 parts = 2 × $50 = $100 ← smaller share

Answer:

[tex]\frac{4\sqrt{3} }3}[/tex]

Step-by-step explanation:

Since it is an equilaterla triangle, we can see the side opposite to that of side length 4 is 60 degrees. Since the other angle is a right angle (90 degrees), we can find that the other side is 30 degrees (the degrees add up to 180). We can also see that this is a 30-60-90. We can see that the side x, through the identity (you can find 30-60-90 identity online), we see that the side x is [tex]\frac{4}{\sqrt{3}}[/tex]. However, it is also asking us to simplify this, so we multiply the top and bottom by [tex]\sqrt{3}[/tex] and get [tex]\frac{4}{\sqrt{3} } = \frac{4\sqrt{3} }{3}[/tex]

Answer:

80% of 75 is 60

Step-by-step explanation:

0.80x=60

x=60/0.80

x=75

Step-by-step explanation:

Domain: x€ [ -7;7]

Range : y€ [-6;4]

For the domain, the graph's x-values are from -7 to 7

For the range, the graph's y-values are from -6 to 4

Answer:

Step-by-step explanation:

Area of the room is 12.5(14) = 175 ft²

2x2 tiles are 4 ft²

175 /4 = 43.75 tiles so 44 will be needed

44($0.79) = $34.76

3x3 tiles are 9ft²

175/9 = 19.4444... so 20 will be needed

20($1.25) = $25.00

the larger tiles will cost $9.24 less than the smaller tiles.

Obviously some of the tiles will need to be cut to fit as the length and width of the room are not always a uniform number of tiles for either side.

Answer:

this is a tough one but i know that sometimes it may seem hard but, with the right amount of practice, the hardest equations become the easiest to overcome. (Hint: Use PEMDAS)

Step-by-step explanation:

hope this helps you!

Answer:

I cant answer it i just need to talk to you its mya......

Step-by-step explanation:

According to the confidence interval given, the non-equivalent expression is:

A. [tex]161.7 \pm 13.9[/tex]

The interval given is:

[tex]161.7 \leq \mu \leq 189.5[/tex]

Which can also be written as: (161.7.189.5)

The point estimate is the halfway point of the interval, hence:

[tex]\overline{x} = \frac{161.7 + 189.5}{2} = 175.6[/tex]

The margin of error is half the difference of the bounds, hence:

[tex]M = \frac{189.5 - 161.7}{2} = 13.9[/tex]

According to the point estimate and to the margin of error, the interval can also be written as:

[tex]175.6 - 13.9 \leq \mu \leq 175.6 + 13.9[/tex]

[tex]175.6 \pm 13.9[/tex]

Hence, the only expression which is non-equivalent is:

A. [tex]161.7 \pm 13.9[/tex]

You can learn more about confidence intervals at https://brainly.com/question/25779324

Answer:

  D The value of the 2 in 12.5 is 1,000 times the value of the 2 in 0.912

Step-by-step explanation:

The value of a digit in a number can be found by setting the other digits to zero.

The value of 2 in 12.5 is 2.

The value of 2 in 0.912 is 0.002.

The ratio of values is 2.000/0.002 = 2000/2 = 1000.

The value of 2 in 12.5 is 1000 times the value of 2 in 0.912.

Answer:

D

Step-by-step explanation:

The answer is D

Answer:

([tex]\sqrt[5]{x}[/tex])^7

Step-by-step explanation:

to cancel out the radical you do the exponent inside and divide it by the out side one so it will be 7/5 so make it x to the expontent of 7/5 and to do rational exponets it will be (^5radicalx)^7

Answer:

$348.75

Step-by-step explanation:

$465 * 25%= 116.25

465-116.25 = $348.75

The answer is A

ok done. Thank to me :>

Answer:

10[tex]sin^{2} ([/tex]β[tex])[/tex]

Step-by-step explanation:

We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10[tex]sin^{2} ([/tex]β[tex])[/tex] on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10[tex]sin^{2} ([/tex]β[tex])[/tex].

You can also use double angle formulas from the previous step:

(sin(2β) = 2 sin(β) cos(β))and find that:

5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =

10[tex]sin^{2} ([/tex]β[tex])[/tex] cos(β)

But since cos(β) is already present, we can see that the answer is 10[tex]sin^{2} ([/tex]β[tex])[/tex]

Answer:

The dance team raised 170$ during the first fundraiser

Step-by-step explanation:

to find how much the first fundraiser earned let's make an equation and make the first fundraiser the variable x

The equation would be:

x+450=620

so we would take away 450 from both sides

x+450-450=620-450

which would make the equation

x=170

meaning that the first fundraiser raised 170$

Answer:

60 inches

Step-by-step explanation:

26^2+54^2 = 3592

[sqrt]3592 = 59.9 --> 60inches

Step-by-step explanation:

the distance between 2 points can be seen as the Hypotenuse of a right-angled triangle with the legs being the x and y coordinate differences.

and so, we use Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

distance² = (5 - 0)² + (2 - -2)² = 5² + 4² = 25 + 16 = 41

so, the distance is sqrt(41) = 6.403124237...

Answer:

33.33

Step-by-step explanation:

(48-36):36*100

(48:36-1)*100

133.33333333333-100 = 33.33

Answer:

$51.36

$77.04 i think

Step-by-step explanation:

Multiply the cost of the number of pairs of jeans by the sales tax amount, 7%.

cost of 2 pairs:   48 + 7/100 x 48 = $51.36

cost of 3 pairs:   72 + 7/100 x 72 = $77.04

Answer:

120

Step-by-step explanation:

5x6 = 30

30x4= 120

Answer:

D

Step-by-step explanation:

We can go through each answer to see if it's right

A

In a right triangle, with c opposite the right angle, we know that

a²+b² = c²

The answer is stating that a+b = c². Unless both a and b are either 0 or 1, this is incorrect

B

The area of a rectangle is equal to length * width, or in this case, a* b. Compare this with our equation of

a²+b² = c² and this is incorrect

C

The hypotenuse, or the side opposite the right angle, is c. The answer is stating that c = c². This is incorrect unless c = 1 or c = 0

D

The square constructed on the hypotenuse would have a side length of c. The area of a square is length², or in this case, c². c² = c² so this is correct

Answer:

-4/5

Step-by-step explanation:

Answer: A. -4/5

Step-by-step explanation:

Slope Formula: y2 - y1 / x2 - x1

-7 - (-3) = -4

9 - 4 = 5

slope = -4/5

Correct me if I am incorrect.

Answer:

Either (c) or (a), (B also looks like a good answer, but I'd go for c)

Step-by-step explanation:

If I'm inincorrect, I apologize!

Answer:

55º

Step-by-step explanation:

The 125º angle makes a straight angle (180º) with the one next to it. This makes the angle next to it (adjacent angle) 55º. According to the rules of a transversal, the adjacent angle said above and angle 2 are alternate interior angles, making them equal.

Answer:

give the dimensions of the figure on the paper

Answer:

Step-by-step explanation:

1) 11v > -66

divide by 11

V > -6

all of them are done like this

Answer:

Unit 4- Expressions and Equations: In this unit, students build on their knowledge from unit 2, where they extended the laws of exponents to rational exponents. Students apply this new understanding of number and strengthen their ability to see structure in and create quadratic and exponential expressions.

Answer:

yes

Step-by-step explanation: