Terry rides his bicycle 4/5 mile in
6 minutes. If he continues at this rate,
how far will he travel in 21 minutes?

Answer:

31/40

Step-by-step explanation:

Find the common denominator

15/40 + 16/40 = 31/40

Let me know if this helped. Brainliest is appreicated <3

96 / 6 = 32 / 2 = 16 / 1 = 16 per pillow

Answer:

16$

Step-by-step explanation:

96$ for 6 pillows, so divide that cost by 96$/6=16$ per pillow

Answer:

  B.  Substitute for x in the first equation

Step-by-step explanation:

The solution to a system of equations in which one is quadratic and the other is linear will necessarily involve solving a quadratic equation. Generally, we want to arrive at that quadratic as early as possible in the solution process.

Here, we have a linear expression for x, so it is pretty simple to use that to substitute for x in the first equation:

  (2y -1)² -(2y -1) +3y = 5 . . . . substitute for x

  4y² -4y +1 -2y +1 +3y = 5 . . . . eliminate parentheses

  4y² -3y -3 = 0 . . . . quadratic in y in standard form

This does not have integer solutions, so it is perhaps best solved using the quadratic formula.

  [tex]y=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(4)(-3)}}{2(4)}=\dfrac{3\pm\sqrt{57}}{8}[/tex]

__

Additional comment

A best first step might be to input both equations to a graphing calculator and let it show you the solutions.

If the daughter does not want more than 2,250,000 square feet of the corn maze, hence she will choose all the portions

The formula for calculating the area of circle is expressed as;

A  = πr²

r is the radius of the circle

If r = 875ft

A = 3.14(875)²

A = 2,404,062.5squar feet

For the diameter = 1715feet

r = 1715/2

A = 3.14(1715/2)²

A =2,308,861.625 square feet

For the third portion has a 5305 feet circumference;

5305 = 2(3.14)r

r = 844.74ft

A = 3.14(844.74)^2

A = 2,240,686.70

If the daughter does not want more than 2,250,000 square feet of the corn maze, hence she will choose all the portions

Learn more on area of circle here; https://brainly.com/question/28956

the person above has the correct work.. but the answer is  the portion with the 5305 feet circumference.

Answer:

If one angle is 23 then the other is 180-23 = 157

one angle is the supplementary of other

23 is the supplementary of 157

157 is the supplementary of 23

Answer:

0.076923 in decimal or 0.08

Answer:

8

Step-by-step explanation:

10 -1-1

that's all I can think

Answer:

354.2

Step-by-step explanation:

So

P(AUB)=P(A)+P(B)

Answer:

Mary

Step-by-step explanation:

You have to change the fractions so that the denominator is the same in both of them. To do this, you can multiply the numerator and denominator in 3/4 by 2. This would equal 6/8.

6/8 > 3/8

This shows that Mary climbed higher.

Answer:

Step-by-step explanation:

Opposite angles of a rhombus are congruent, so [tex]6x+8=86 \longrightarrow x=13[/tex]

Also, adjacent angles of a rhombus are supplementary, so [tex]86+5z+4=86+7y+3=180 \longrightarrow y=13, z=18[/tex]

Answer:

Step-by-step explanation:

0 hours is 0, 1 is 3.5, 2 is 7, 3 is 10.5, 4 is 14, 5 is 17.5.

Explanation:

x = length of the actual car in inches

5% of x = 9 inches

0.05x = 9

x = 9/(0.05)

x = 180 inches

Divide by 12 to convert from inches to feet.

180 inches = (180/12) feet = 15 feet

Answer: 24 degrees

Step-by-step explanation:

The measure of a central angle is equal to the measure of the arc that it intercepts.

Answer:

X >= 5

Step-by-step explanation:

8 - 4 = 4

So X can be any number greater than or equal to 5.

Hope this helps - have a nice day! :)

Answer:

[tex]m=\frac{4}{5}[/tex]

Step-by-step explanation:

Expand 4(1+0.5m): 4+2m

[tex]4\left(1+0.5m\right)[/tex]

[tex]a=4,\:b=1,\:c=0.5m[/tex]

[tex]=4\cdot \:1+4\cdot \:0.5m[/tex]

Simplify 4*1+4*0.5m: 4+2m

[tex]4\cdot \:1+4\cdot \:0.5m[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1=4[/tex]

[tex]=4+4\cdot \:0.5m[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:0.5=2[/tex]

[tex]=4+2m[/tex]

[tex]4+2m=7m[/tex]

[tex]\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}[/tex]

[tex]4+2m-4=7m-4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]2m=7m-4[/tex]

[tex]\mathrm{Subtract\:}7m\mathrm{\:from\:both\:sides}[/tex]

[tex]2m-7m=7m-4-7m[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-5m=-4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]

[tex]\frac{-5m}{-5}=\frac{-4}{-5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]m=\frac{4}{5}[/tex]

Answer: $97.2

Step-by-step explanation: 75+8%/100=81+20%/100=97.2

If their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$. He will totally pay $ 97.2.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Franklin treated his sister to lunch while visiting her in Ashland. Their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$.

We have to apply arithmetic operations in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

If their lunch costs $75 and the sales tax in Ashland is 8%.

= 75+8% of 75

=75+(8/100)×75

=81

If Franklin left a 20% tip on the 75$

=81+20% of 81

=$ 97.2

Thus, if their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$. He will totally pay $ 97.2.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

Answer:

Spot 1:   14

Spot 2:   7

Step-by-step explanation:

To fill in the first empty spot, we just have to look at the other side.

We can see that the factor on the right is 4

That means the factor on the left has to multiply by 4 to get 56

To find which number that is, we divide 56 by 4

56 ÷ 4 = 14

So, the first spot is 14

Then, to find the spot below it, we need a number that multiplies by 2 to get 14

Well, 14 ÷ 2 = 7

The second spot is 7

Answer:

This statement is not true. (Alternate Interior Angles Theorem)

Step-by-step explanation:

<6 and <3 are both interior angles, meaning that they are on the interior of two transversals. They are also alternating the transversal, so they are alternate interior angles. The Alternate Interior Angles Theorem states that if a transversal crosses the set of parallel lines, the alternate interior angles are congruent. This means that <6 and <3 would be congruent to one another, so they would have to measure the exact same degree. Hope this helps! :)

Answer:

30 cm

Step-by-step explanation:

18x1.66666667=30

Hope this helps :)

Answer:

b){ f(x)| –∞ < f(x) ≤ 4}

Step-by-step explanation:

I took a test recently on this and am not really sure how to explain it.

Hope this helped.

A brainliest is always appreciated.

x1+x2/2 + y1 +y2/2

= 1 +3/2 + 3+11/2

= (2;7)

Answer:

You are multiplying two factors in the argument.  So we add the logs.

log(x4y3) + log((x2y5)1/3)

log(x4y3) + log(x2/3y5/3)

For each log term. The arguments are being multiplied.  So we further add the logs.  Also, any exponents become of the coefficients of logs.

4log(x) + 3log(y) + (2/3)log(x) + (5/3)log(y)

Combine like log terms.

(14/3)log(x) + (14/3)log(y)

The amount of metal he will need to cover the back of the shelves is 180 inches².

The figure above is like a composite figure. Therefore, lets find the area.

The area of the figure is the sum of the whole individual 2 dimensional shapes in the composite figure.

Therefore, two rectangles can be drawn from it.

area of rectangle = lw

where

l = length

w = width

Therefore,

area of rectangle 1 = 9 × 8 = 72 inches²

area of rectangle 2 = 6 × 18 = 108 inches²

Total area = 108 + 72 = 180 inches²

Therefore, the amount of metal he will need to cover the back of the shelves is 180 inches².

learn more on area here: https://brainly.com/question/25849553

Answer:

a.

Step-by-step explanation:

[tex] \frac{n - 9}{2n - 5} + \frac{3n - 1}{2n - 5} [/tex]

Since the denomaitor is the same, just add straight across.

[tex] \frac{4n - 10}{2n - 5} [/tex]

The numerator can be factored.

The greater common factor is 2 so we have

[tex] \frac{2(2n - 5)}{2n - 5} [/tex]

Notice that the numerator and denomiator are the same.

This means they will divide out to 1 so we have

[tex]2[/tex]

Answer:

Step-by-step explanation:

here !

Answer:

Step-by-step explanation:

in 10 hrs distance covered=speed×time=15×10=150 nautical miles.

x²=600²+150²-2×600×150×cos 20°

x²=360,000+22,500-180,000×cos 20°

x=√(382,500+180,000×cos 20°)

x\approx 742.73 nautical miles

time taken=742.73/15 \approx ~49.52 hours

total time taken=10+49.52=59.52 hours

applying sine formula

[tex]\frac{sin ~B}{150} =\frac{sin~20}{742.73} \\\sin~B=\frac{150}{742.73} \times~sin~20\\B=\sin^{-1} [\frac{150}{742.73} \times \sin~20]\\B\approx~3.96 ^\circ\\B\approx 4^\circ[/tex]

so it has to make a turn=20+4=24°