Write the fraction below in simplest form.

Answer:

$4.90

Step-by-step explanation:

Simple Interest = Principle x interest rate x time period

Principle = $140

Interest rate = 3.5% or .035

time = 1 year

interest = 140 x .035 x 1

interest = $4.90

I hope this helps!

-TheBusinessMan

The percentage of 1 spig to 5 spug is 17.9%

What is percentage?

Percentages are essentially fractions where the denominator is 100.

40% of spig =1spoog

25% of speeg = 1 spoog

therefore 40%spig = 25% speeg

1 spig = 25/40 speeg

1 spig = 5/8 speeg

70% of speeg= 1 spug

70/100 speeg = 1 spug

therefore dividing both sides by 100/70

1 speeg = 100/70spug = 10/7spug

similarly 8/5 spig = 1 speeg

therefore 8/5 spig = 10/7 spug

divide both sides by 5/8

1 spig = 50/56 spug

percentage of 1 spig to spug =

89.3 % spug is 1 spig

therefore the percentage of 1 spig of 5 spugs is 89.3% /5 = 17.9%

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Answer:

z=6

Step-by-step explanation:

2z+18=5z

5z-2z=18

3z=18

z=18/3

z=6

Hope this helps!!!

(Please mark me brainliest)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{z = 6}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2z + 18 = 5z}[/tex]

Move 5x to left hand side and change it's sign

Similarly, Move 18 to right hand side and change it's sign

⇒[tex] \sf{2z - 5z = - 18}[/tex]

Collect like terms

⇒[tex] \sf{ - 3z = - 18}[/tex]

Divide both sides of the equation by -3

⇒[tex] \sf{ \frac{ - 3z}{ - 3} = \frac{ - 18}{ - 3} }[/tex]

Calculate

⇒[tex] \sf{z = 6}[/tex]

Hope I helped!

Best regards!!

Answer:

Number of sugar cubes  fit in box = 600 sugar cube

Step-by-step explanation:

Given:

Size of sugar cube = 1 x 1 x 1 cm

Size of box.

Length = 5 cm

Width = 12 cm

Height = 10

Find:

Number of sugar cubes  fit in box

Computation:

Volume of sugar cube = 1 x 1 x 1

Volume of sugar cube = 1 cm³

Volume of box  = 5 x 10 x 12

Volume of box  = 600 cm³

Number of sugar cubes  fit in box = Volume of box / Volume of sugar cube

Number of sugar cubes  fit in box = 600 / 1

Number of sugar cubes  fit in box = 600 sugar cube

Answer:

600

Step-by-step explanation:

volume of the cube a^3 = 1×1×1  = 1 cm^3

Volume of the box = 5×10×12 =600 cm^3

No. of the sugar cubes fit in the box = Volume of the box/ vol. of the cube

=600/1 =600

Answer:

Here is the solution solution-

(-15x+6y)-(-10x+7y)

= -15x+6y+10x-7y

= (-15x+10x)+(6y-7y)

= -5x-y

Answer:

D

Step-by-step explanation:

You should know this its not hard

Answer:

The quotient rule for exponents states that [tex]b^{m}\div b^{n}=b^{m-n}[/tex].

When dividing exponential expressions with the same nonzero​ base, subtract the exponents.

Step-by-step explanation:

Some rules to solve exponents are:

The quotient rule for exponents states that:

[tex]b^{m}\div b^{n}=b^{m-n}[/tex].

When dividing exponential expressions with the same nonzero​ base, subtract the exponents.

When dividing exponential expressions with the same nonzero​ base, subtract the exponents.

Exponential functions in indices

According to the quotient law of indices

Based on the law, you can see that the expoenented was subracted since the base are equal.

The same is applicable to [tex]\frac{b^m}{b^n} [/tex]. this can be expressed as [tex]b^{m-n}[/tex]. This shows that when dividing exponential expressions with the same nonzero​ base, subtract the exponents.

Learn more on quotient law of indices here: https://brainly.com/question/8952483

Answer:

The correct answer is x = 2/3.

Step-by-step explanation:

To solve this problem, the first step I would take is multiply both sides by 2.  This will allow us to get rid of the fraction on the left side of the equation and make it easier to solve.  This is modeled below:

3/2(6x + 4) = 12

3(6x +4) = 24

Next, we can use the distributive property on the left side of the equation to get rid of the parentheses.

18x + 12 = 24

Then, we can subtract 12 from both sides of the equation.

18x = 12

Finally, we can divide both sides by 18 and simplify.

x = 12/18 = 2/3

Therefore, the correct answer is x =2/3.

Hope this helps!

Answer:

5

Step-by-step explanation:

This is because she cannot buy 5.91 pairs of shoes and she doesn't have enough money to buy exactly 6, so you must round it down to 5.

She can buy a maximum of 5 shoes with her money.

The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Given that,

Shelly has money to buy 5.91 pairs of shoes.

Now,

Shoes are a whole quantity it will never come in fractions or decimals.

So,

We need to write 5.91 either 5 or 6

Now,

If we write it 6 then we do have not sufficient money but if we write 5 then we have money although some amount will be left still, she can buy 5 shoes.

Hence "She can buy a maximum of 5 shoes with her money".

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Answer:

She is incorrect.

Step-by-step explanation:

She is incorrect.

An integer is a whole number, zero, and the opposites of the whole numbers. There cannot be a decimal part or fractional part to an integer.

Here are the integers:

..., -3, -2, -1, 0, 1, 2, 3, ...

-5.5 is not an integer.

Rachel's statement that -5.5 is an integer because it is negative is not correct because -5.5 is a rational number.

Given,

Rachel states that -5.5 is an integer because it is negative.

We need to find out whether Rachel's statement is correct and give a reason.

Integers are 0,±1, ±2, ±3, ±4, ±5, ±6, ±7, ±8,......

It includes all whole numbers.

We have,

-5.5 is a negative rational number.

Integer has no decimal point.

-5.5 is not an integer.

Thus Rachel's statement that -5.5 is an integer because it is negative is not correct.

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Answer:

not possible

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

25 + 196 = 400

221=400

Answer:

[tex]x=\frac{-q}{s}[/tex]

Step-by-step explanation:

[tex]a-q=a+sx\\a-a-q=a-a+sx\\-q=sx\\\frac{-q}{s}=\frac{sx}{s}\\x=\frac{-q}{s}[/tex]

Answer: 5,280

Step-by-step explanation:

Step-by-step explanation:

bodmas

7-4/4+12-10

7-4/16-10

3/4

0.75

Answer:

Step-by-step explanation:

Circumference of a circle = 2πr

where

r is the radius

From the question

Circumference = 50.24 units

To find the radius substitute the value into the above formula and solve for the radius

That's

[tex]50.24 = 2\pi \: r[/tex]

Divide both sides by 2π

We have

[tex]r = \frac{50.24}{2\pi} [/tex]

r = 7.9959

We have the final answer as

Hope this helps you

Answer:

8 units

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

50.24 = 2 * pi * r

Using 3.14 to approximate pi

50.24 = 2 * 3.14 * r

50.24 = 6.28 r

Divide each side by 6.28

50.24/6.28 = r

8 = r

Answer:

Step-by-step explanation:

Given a triangle with side lengths s1, s2 and s3, the perimeter of the triangle in centimetre is expressed as the sum of all the sides of the triangle i.e

Perimeter of a triamgle = s1+s2+s3

Given the sides of the triangle in question as (1.4u+9.6) centimeters, (4.3u-9.9)centimeters, and (5.3v+1.8) centimeters, the perimeter of the triangle will be the sum of all the functions as shown;

Let s1 = (1.4u+9.6)cm

s2 = (4.3u-9.9)cm

s3 = (5.3v+1.8) cm

Perimeter of the triangle = 1.4u+9.6 + 4.3u-9.9 + 5.3v+1.8

collect like terms

P =  1.4u+ 4.3u+5.3v+9.6-9.9 +1.8

P = 5.7u+5.3v+1.5

Hence the expression that represents the perimeter of the triangle is 5.7u+5.3v+1.5

Answer:

y intercept

Step-by-step explanation:

The point in which the graph crosses the x-axis is called the x-intercept and the point in which the graph crosses the y-axis is called the y-intercept.

Answer:

41 cinnamon granola bars were sold.

Answer:

C

Step-by-step explanation:

Square root of 92 is 9.591663047

so round that to 9.59

Answer:

112

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, what are the coordinates of point Q and R. But I would show how to solve this.

The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at ([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) is given by the formula:

[tex]x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1[/tex]

If point Q is at ([tex]x_1,y_1[/tex]) and S at ([tex]x_2,y_2[/tex])  and R(x, y) divides QS in the ratio QR to RS is 3:5, The coordinates of R is:

[tex]x=\frac{3}{3+5}(x_2-x_1)+x_1=\frac{3}{8}(x_2-x_1)+x_1\\ \\y=\frac{3}{3+5}(y_2-y_1)+y_1=\frac{3}{8}(y_2-y_1)+y_1[/tex]

Let us assume Q(−9,4) and S(7,−4)

[tex]x=\frac{3}{8}(7-(-9))+(-9)=\frac{3}{8}(16)-9=-3\\\\y=\frac{3}{8}(-4-4)+4=\frac{3}{8}(-8)+4=1[/tex]

Answer: It’s 2.6

Step-by-step explanation:

Answer:

$31.50

1/4 of 24 is 6 and 6x5.25 is 31.50

Answer:

31.50

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

The diagonal divides the square into 2 right angles with legs s and hypotenuse x

Using Pythagoras' identity on one of the right triangles, then

s² + s² = x²

2s² = x² ( divide both sides by 2 )

s² = [tex]\frac{x^2}{2}[/tex] ( take the square root of both sides )

s = [tex]\sqrt{\frac{x^2}{2} }[/tex] = [tex]\frac{x}{\sqrt{2} }[/tex]

Thus

perimeter = 4s = 4 × [tex]\frac{x}{\sqrt{2} }[/tex] = [tex]\frac{4x}{\sqrt{2} }[/tex]

Multiply numerator/ denominator by [tex]\sqrt{2}[/tex]

perimeter = [tex]\frac{4x\sqrt{2} }{2}[/tex] = 2[tex]\sqrt{2}[/tex] x

Answer:

Step-by-step explanation:

Answer:

Choose f(x) = 11x + 1

Step-by-step explanation:

Note that we will simply plug the value of 2 into the equation for February:

f(2) = 11(2) + 1 = 23

And plug the value of 6 into the equation for June:

f(6) = 11(6) + 1 = 67

Note how the points on the graph seem to match up with these values.  If we evaluate following the same style for each:

f(3) = 11(3) + 1 = 34

f(4) = 11(4) + 1 = 45

f(5) = 11(5) + 1 = 56

Note, these values seems to be very close in approximation to the graph points for each month.

The other three functions return values that are just to far away from what are represented in the graph.

Cheers.

Answer:

6m -22

Step-by-step explanation:

(m - 7) + 5(m - 3)

= m - 7 + 5m - 15

= 6m -22

Answer: 6m-22

Step-by-step explanation:

Given

 (m-7)+5(m-3)

Take off parentheses/distributive property

= m-7+5m-15

Move like terms together

=m+5m-7-15

Combine like term

=6m-22

Hope this helps!! :)

Please let me know if you have any question

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

Explanation:

The graph goes uphill as you read from left to right over the interval 0 < t < 3. This means t is between 0 and 3. So the graph is increasing over this interval. The same applies for the interval 14 < t < 18 as well.

The graph goes downhill we we are between t = 3 and t = 14, so that's why the graph is decreasing on the interval 3 < t < 14.

The local min is the lowest point of the graph. For sine functions like this, they occur infinitely many often. But we're restricting to just one cycle (so to speak) and we only have one local min at (t, V) = (14, 1). So that explains the answer to part E. The answer to part D is similar but we're looking at the highest point this time at (3,7)

As for part F, it seems like your teacher made a typo because the graph is neither at the highest nor the lowest point when t = 18. The graph is right in the middle instead.