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Answer:

Exact form: x =  -17\25

Decimal form: x = -0.68

Answer:

55.9 mph

Step-by-step explanation:

190/3.4 = 55.88 mph rounded to one dp = 55.9 mph

A car travels a distance of [tex]190[/tex] miles in a time of [tex]3.4[/tex] hours, then  its average speed will be  [tex]56[/tex] miles per hour.

Average speed is speed is the total distance traveled by the car in a particular time of interval.

Average speed [tex]=\frac{Total \ Distance}{Total \ Time}[/tex]

We have,

Distance [tex]=190[/tex] miles

Time[tex]= 3.4[/tex] hours

So, Using the above given formula,

Average speed [tex]=\frac{Total \ Distance}{Total \ Time}[/tex]

                          [tex]=\frac{190}{3.4}[/tex]

                         [tex]=56[/tex] miles per hour

So, the average speed of car is [tex]56[/tex] miles per hour which is find out using the above given formula.

Hence, we can say that if a car travels a distance of [tex]190[/tex] miles in a time of [tex]3.4[/tex] hours, then  its average speed will be  [tex]56[/tex] miles per hour.

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Answer: The interest rate was 9%.

Step-by-step explanation:

If principal amount P is invested at the rate of r percent with simple interest(I) for t years, the formula to find rate :

[tex]R=\dfrac{I\times100}{P\times t}[/tex]

As per given,

P = $ 500, I = $45, t = 1 year

Substitute values in formula , we get

[tex]R=\dfrac{45\times100}{500\times1}\\\\\Rightarrow R=9\%[/tex]

Hence,  The interest rate was 9%.

Answer:

KL=45

Step-by-step explanation:

Answer:

143.3 degrees and 323.3 degrees

Step-by-step explanation:

Given the equation

3tanA +√5 = 0

3tanA = -√5

tanA =-√5/3

tanA = (-0.7454)

A = arctan(-0.7453)

A = -36.699

Since tan is negative in 2nd and 4th quadrant

A = 180 - 36.699

A = 143.3 degrees

In the fourth quadrant

A = 360 - 36.699

A = 323.3degrees

Hence the value of A that satisfies the equation are 143.3 degrees and 323.3 degrees

Answer:4^-3 could also be written as 1/4^3

Step-by-step explanation:

Negative exponent rule in which the number with a negative exponent gets moved to the denominator.

8x -5 = 4x+7

8x - 4x = 7 + 5

4x = 12

x = 3

Answer:

D. 6 cups of oil to 12 cups of milk.

The size of angle x is 115.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

From the figure,

The whole complete angle is 360.

This means,

164 + 81 + x = 360

Solve for x.

164 + 81 + x = 360

245 + x = 360

x = 360 - 245

x = 115

Therefore,

The size of angle x is 115.

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Answer:

21 red grapes

Step-by-step explanation:

B:G

8:6

28:x

28/8=3.5

therefore 6*3.5 = x

Answer:

The answer is 21

Step-by-step explanation:

If you do 28/8 you get 3.5. So he used 3 1/2 blueberries. Then you have to times 6 by 3.5 to get 21. Put it back into ratio form and you get 28:21

Hope this helps!

Answer:

7.9 m

Step-by-step explanation:

Use the Pythagorean theorem: a²+b²=c²

This formula can be used to solve a side of any right (90°) triangle.

c² is the length of the hypotenuse (the diagonal side of the triangle, opposite to the 90° angle)

So, c = 32m.

Sides a and b are the legs of the triangle, but we only know one side. Plug numbers into the formula:

31² + b² = 32²

961 + b² = 1024 Subtract 961 from both sides to get b² by itself.

b² = 63

√b² = √63  Square root both sides to get b by itself.

b = 7.93725

Answer is 7.9 meters, rounded to tenths place

Answer:

surface

Step-by-step explanation:

Answer: Area for a 2D image is the space it covers.

Step-by-step explanation:

If you have an empty square and you shade it in, what you are shading is its area. You can find area of a square or rectangle by multiplying its length by its width. For more complicated shapes there are formulas you can use.

Answer:

480

Step-by-step explanation:

Answer:

486 people can ride the roller coaster in 3 hours

Step-by-step explanation:

40÷15 = 2.7

2.7 × (60×3)

2.7×180= 486

Answer:

Cost of ten bananas and ten pears is  £ 3.90

Step-by-step explanation:

As three bananas and two pears cost  95 p  and  five bananas and three pears cost  £  1.51  or  151  p ,

subtracting former from latter, we get

two bananas and one pear cost  151 p  −  95 p  =  56 p

and doubling four bananas and two pear cost  56 p × 2 = 112 p

Hence, one banana costs  112 p  −  95 p  =  17 p .

and two bananas cost  17 p  ×  2  =  34 p

and hence one pear costs  56 p  −  34 p  =  22 p

Hence cost of ten bananas and ten pears is  

10  ×  17 p  +  10  ×  22 p  =  170 p  +  220 p  =  390 p  =  £ 3.90

Hope it helps

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Step-by-step explanation:

Given

f(x) = 6x - 5

f^-1(x) = ?

Let

y = f(x)

y = 6x - 5

Interchanging the roles of x and y we get

x = 6y - 5

6y = x + 5

y = ( x + 5 ) / 6

So therefore f^- 1(x) = (x + 5) / 6

Hope it helps :)❤

Answer:

70-45

Step-by-step explanation:

becauae w= 70-45 and w+45=70

Answer:

mean: 4

median: 5

mode: 5

range: 4

Answer:

30 miles

Step-by-step explanation:

Distance = speed x time

30 minutes can be considered as ½ an hour.

60 x ½=30miles

Answer: answer is $33.60

Step-by-step explanation:

Answer:

d a rosebush 14 butterfly plant 7

Step-by-step explanation:

don't believe me ask some body else okkkkkur

Answer:

35-4

Step-by-step explanation:

Answer:

Let x = represents the width

m.

Step-by-step explanation:

hope that helps -w-

Answer:

Sine

Step-by-step explanation:

Using the acronym SOHCAHTOA, we can see that Sine (S) should be used.

SOH represents Sine, Opposite, Hypotenuse.

Since we are only given the opposite side and hypotenuse, the sine ratio should be used, which is opposite / hypotenuse

So, sine will be used.

Answer:

rStep-by-step explanation:

d

Answer:

52 in.

Step-by-step explanation:

Let the width = x.

The length is x + 18.

perimeter = 2(L + W)

244 = 2(x + x + 18)

122 = 2x + 18

2x = 104

x = 52

The width is 52 in.

Answer:

length is 70 width 52

Step-by-step explanation:

Answer:

x=3/2 (or 1.5)

Step-by-step explanation:

Subtract 3/8 from both sides

Simplify

Subtract 1/2x from both sides

Simplify

Multiply both sides by 4

Simplify

Divide both sides by -3