Simplify using positive exponents

total = green marbles + red marbles + blue marbles

55 = 15 + 12 + blue marbles

55 = 27 + blue marbles

55 - 27 = blue marbles

28 = blue marbles

Answer:

Riko is wrong because she uses the wrong formula.

Step-by-step explanation:

Given the coordinate points (-2, -3) and (2, -5)

We are to find the distance between the two points

Using the formula:

D = √(x2-x1)²+(y2-y1)²

From the coordinates x1 = -2, y1 = -3, x2 = 2 and y2 = -5

Substitute

D = √(2-(-2))²+(-5-(-3))²

D= √(4)²+(-2)²

D = √16 + 4

D = √20

D = √4*√5

D = 2√5

This shows that Riko is wrong because she uses the wrong formula.

Answer:

No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.

Step-by-step explanation:

Answer:

The answer is A = 14 B = 4  14 - 4 = 10 I think.

Step-by-step explanation:

It's not a sum its a difference because this is a subtraction problem I think.

Answer:

Sin F = 0.6

Step-by-step explanation:

From triangle ABC, applying Pythagoras theorem to determine the length AB;

[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/AC/^{2}[/tex] = [tex]/BC/^{2}[/tex] + [tex]/AB/^{2}[/tex]

[tex]/20/^{2}[/tex] = [tex]/16/^{2}[/tex] + [tex]/AB/^{2}[/tex]

400 = 256 + [tex]/AB/^{2}[/tex]

[tex]/AB/^{2}[/tex] = 400 - 256

           = 144

AB = [tex]\sqrt{144}[/tex]

     = 12

AB = 12, AC = 20, BC = 16

Therefore since ΔABC ≅ ΔDEF, and each side of triangle DEF is [tex]\frac{1}{3}[/tex] the length of the corresponding side of triangle ABC.

Then,

DE = [tex]\frac{1}{3}[/tex]AB =  [tex]\frac{1}{3}[/tex] x 12

     = 4

EF =  [tex]\frac{1}{3}[/tex]BC =  [tex]\frac{1}{3}[/tex] x 16

     = [tex]\frac{16}{3}[/tex]

DF =  [tex]\frac{1}{3}[/tex]AC =  [tex]\frac{1}{3}[/tex] x 20

     = [tex]\frac{20}{3}[/tex]

Then, applying trigonometric function to ΔDEF, we have;

Sin F = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{DE}{DF}[/tex]

        = 4 ÷ [tex]\frac{20}{3}[/tex]

        = 4 x [tex]\frac{3}{20}[/tex]

        = [tex]\frac{3}{5}[/tex]

Sin F = 0.6

Answer:

B. negative x-coordinate and negative y-coordinate

Answer:

40

Step-by-step explanation:

Answer: 3/6

Step-by-step explanation:

If you convert them into decimals you get

3/8 = 0.375

3/6 = 0.5

Answer: 3/6 is greater

Step-by-step explanation:

Answer:

the slope is -4/5 and the y-intercept is 0

Step-by-step explanation:

Answer:

2) A

3) A

Step-by-step explanation:

2:

3y + 4x = 15

(divide 15 by 3 to get y by itself... then subtract 4 to the side with 15 so you have the proper equation)

y = 5 - 4x (when you graph it, the y intercept is 5)

3:

since x = -4y  ... you substitute that into the second equation

-4y + 5y = 2

then solve for y

y = 2

so now you substitute y into the first line

x = -4(2)

x = -8

Answer:

y = 3 + 1/2 * x

Step-by-step explanation:

Answer:

It was originally sold at roughly $4.887

Step-by-step explanation:

1)  2.20/.45 ≈ 4.8

2) 4.8 x .45 = 2.16

3) 4.88 x .45 = 2.196

4) 4.887 x .45 = 2.19915

The original price of the ice cream is $4.8

Discounting a product means offering it at a lower price than the list price.

Given that, a carton of ice cream sold for $2.20 was on sale for 45% off.

Let the original price of the carton be x.

x*45% = 2.20

x = 2.20*100/45

x = 4.8

Hence, the original price of the ice cream is $4.8

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Answer:n

= − 5 , 5

Step-by-step explanation:

Answer: 17: No, the triangles are not similar.

I'm sorry, that is the best I can do, I forgot all about triangles ;-;

Step-by-step explanation:

Answer:

I know for a fact that it is Devide by nagative 5

Step-by-step explanation:

Answer:

94.7

Step-by-step explanation:

15.50+10*0.99*8

(a) See the attached sketch. The jet makes a right triangle with the ground with hypotenuse y. Since the angle of depression is 56°, and the plane in which the jet is flying 300 m in the air is parallel with the ground, the angle of elevation in the right triangle is also 56°. Use the definition of sine to solve for y.

sin(56°) = (300 m)/y   →   y = (300 m)/sin(56°)

The uppermost angle in the blue triangle has measure equal to the difference between the two given angles of depression, 56° - 30° = 26°, and the rightmost angle is also 30° by the same reasoning as before. Then by the law of sines,

x/sin(26°) = y/sin(30°)   →   x = sin(26°)/sin(30°) y ≈ 317.2627 m

(b) No, the field is not long enough.

Answer:

the original price was $53.33

Step-by-step explanation:

$x ---- 100%

$40 ------- 75% (this is because 25% of it's just 75% of the actual price)

[tex]75\cdot x = 100\cdot 40\\\\75x = 4000\\\\x=53.33[/tex]

===============================================

Work Shown:

x = original price

25% = 25/100 = 0.25

25% of x = 0.25x = discount, or amount saved

final price = (original price) - (discount)

final price = (x) - (0.25x)

final price = 0.75x

0.75x = 40

x = 40/0.75

x = 53.333333

x = 53.33

The original price is $53.33

The discount, or amount saved, is 0.25*x = 0.25*53.33 = 13.3325 = 13.33 dollars.

This means the sale price is 53.33 - 13.33 = 40

We can also see this through computing 0.75*x = 0.75*53.33 = 39.9975 = 40, which matches with the given sale price.

Note how I'm rounding to the nearest penny when needed.

Answer:

mark of the fifth exam = 60

Step-by-step explanation:

Mean = sum of all marks / number of exam

Mean = 70

Number of exam = 5

Let x =

Mean = sum of all marks / number of exam

70 = (65 + 80 + 76 + 69 + x) / 5

Cross product

70 × 5 = (290 + x)

350 = 290 + x

350 - 290 = x

x = 60

mark of the fifth exam = 60

Answer:

WHERE IS THE QUESTION

Step-by-step explanation:

Answer:

The servings that each of your friend received which is 1/8 is the quotient. And the servings that each of your friends got is smaller compared to the half of the round chocolate cake. Therefore, when dividing a unit fraction by a whole number, the quotient is always a unit fraction which is less than the dividend.

The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

Let's consider dividing the unit fraction 1/3 by the whole number 2:

= 1/3 ÷ 2

= 1/3 x 1/2

= 1/6

We can see that the resulting quotient, 1/6, is smaller than the original unit fraction of 1/3.

This is because when we divide 1/3 by 2, we are essentially dividing 1 unit of 1/3 by 2 units.

This means that each of the resulting units is smaller than the original unit of 1/3 since it has been divided into more pieces.

In the example above, each resulting unit is 1/6, which is smaller than the original unit of 1/3.

This relationship holds true for any unit fraction and any whole number greater than 1.

The resulting quotient will always be smaller than the original unit fraction being divided.

Thus,

The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.

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Answer:

5 more games to be won for the 50% success rate.

Step-by-step explanation:

Total number games played = 500

Number of successful games = 49% of 500

                                                 = 500 × [tex]\frac{49}{100}[/tex]

                                                 = 245

Number of successful games for the success of 50% = 500 × [tex]\frac{50}{100}[/tex]

                                                                                        = 250

Therefore, number of game you have to win more = 250 - 245

                                                                                    = 5 games

Answer:

3,500

Step-by-step explanation:

Answer:

y = 2.3x

Step-by-step explanation:

y = kx  

52.9 = 23x

52.9 ÷ 23 = x

x = 2.3

Answer:

it would take approximately 8 seconds

Step-by-step explanation:

7x8 + 32 =88 but will take 8 seconds to get 88 with going 11 feet per sec 8×11=88

Answer:

x=7

y=5

Step-by-step explanation:

quadrilaterals have 360 degrees, and their opposite angles are equal

15x+5=16x-2

7=x

(plug back in to find angle)

15(7)+5=110

that angle, plus opposite angle, equals 110.

360-220=140

140/2=70

now we know the value of other unsolved angle

70=12y+10

60=12y

5=y

Answer:

33

Step-by-step explanation:

Answer: B. 38

Step-by-step explanation:

Got it right, Edge 2022.

Answer:

[tex]2\sqrt{13}[/tex]

Step-by-step explanation:

Answer:

1800

Step-by-step explanation:

300 cars in 23 minutes so 300/25 = how many cars each minute

that equals 13.04347....

so on your calculator multiply that by 138 which gives you 1800 cars

Answer:

138/23×300=1800cars drove over the bridge

Step-by-step explanation:

Answer:

Top Right Problem: PACKAGE #2 and $0.80

Bottom left: BAND and $0.05

Bottom Right: PEPSI and $0.05

Answer:

Yes

Step-by-step explanation:

The intersection point of 10x+4y=18 and x+9y=19 is (1,2) on a graph.