Ruth drove 60 miles in one hour. At this rate, how many miles will she drive in 5 hours?

Answer:

9 more mornings Jessica can drink orange juice

Step-by-step explanation:

1 4/5 = 1/5x

9/5  = 1/5 (divided below)

1/5       1/5

9/5  divided 1/5 = x

x = 9/5 x 5/1 = 45/5

45/5 divide by 5 = 9/1

long division and you get 9

hope this helps!

Answer:

The answer is 9

Step-by-step explanation:

Let x = multiple choice, y = true/false, z = essay

(i)

where: x + y + z = 35

We need to solve for y first, in order to know how many essay questions there are, since that is our base.

y + 2y + 4y = 35

(ii)

Now to solve:

y + 2y + 4y = 35

7y = 35

[tex]\frac{7y}{y} = \frac{35}{7}[/tex]

y = 5

Therefore, there are 5 essay questions, 10 multiple choice questions, and 20 true/false questions.

10 + 5 + 20 = 35

The equation of the system will be x + y + z = 35 and the number of each type of question should the instructor put on the test will be 5.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

An instructor wants to create a test that has true-false questions, multiple-choice questions, and essay questions.

Let x be the number of essay questions.

Let y be the number of multiple-choice questions.

Let z be the number of true-false questions.

He wants the test to have 35 questions, with twice as many multiple-choice questions as essay questions and with twice as many true-false questions as multiple-choice questions.

x = 2y

z = 4y

1.  Then the equation of the system will be

x + y + z = 35

Then we have

2.  Then the number of each type of question should the instructor put on the test will be

y + 2y + 4y = 35

               y = 5

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

it's f(n)= 2n^2+1

Step-by-step explanation:

the blocks are shaped 3,8,15 boxes

because 8-3= 5 and 15-8=7

so there's an addition of 2

Answer:

390 pennies that susan is holding

Answer:

3/4x-280=x/2

-3/4x-280=x/2 find the common factor for 3/4x-280/1 which is 4 3/4x-280/1 3xby

48 boards

Step-by-step explanation:

length of a board = 5½ in = 11/2

Total length should be covered = 22 ft = 264 in (1ft = 12in)

total boards needed = 264 ÷11/2

= 264 × 2/11

= 24 ×2

= 48 boards

please please please please please please

Answer:

Answer:

28+16=44

Step-by-step explanation:

point of correction it has been solved correctly

when subtracting 44 - 16 it gives you 28

=> 44 - 16

=> 28

SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY

you will minus 28 from one of the numbers before the equal sign

the correct option is 28 + 16 equals to 44

=> 28+16=44

Answer:

a = ± [tex]\sqrt{\frac{4}{25} }[/tex]

Step-by-step explanation:

[tex]a^{2} =\frac{4}{25}[/tex]

[tex]\sqrt{a^{2} } =\sqrt{\frac{4}{25} } \\|a|=\sqrt{\frac{4}{25} \\[/tex]

a = ± [tex]\sqrt{\frac{4}{25} }[/tex]

Answer:

155 cm2

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Answer:

the amount of a $3,000.00 annuity due at 12 percent compounded semiannually for 3 years. A. $334,321.00 B. $43,068.93 C. $22,180.50 D. $41,814.50

The amount of the annuity due in 23 years with 8% of interest compounded semiannually is $62053.35.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Scupper Molly invested $1,800 semiannually for 23 years at 8% interest compounded semiannually.

Then the amount of the annuity due will be

[tex]\rm A = 1800 (1 + 0.08)^{2\times 23}\\\\A = 1800 (1.08)^{46}\\\\A = 1800 \times 34.474\\\\A = 62053.35[/tex]

More about the compound interest link is given below.

https://brainly.com/question/25857212

Using an Empirical approach and the probability concept, it is found that there is a 7% probability that song will be played next.

A probability is given by the number of desired outcomes divided by the number of total outcomes. Using an Empirical approach, these number of outcomes are taken from previous trials.

In this problem, considering the previous 100 songs, the same song was played 7 times, hence:

p = 7/100 = 0.07.

There is a 7% probability that song will be played next.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

$10.88

Step-by-step explanation:

To find the selling price, we first have to find the markup price by multiplying 8 by 36 and then dividing the product by 100.

Now, we add the markup price the cost of the book.

Therefore, the selling price is $10.88.

The measure of angle QPS in circle C is 112°

A circle is the locus of a point such that its distance from a fixed point known as the circle center is always constant. The sum of angles in a circle is 360 degrees.

From the circle:

PQ is parallel to SR, hence: ∠PQR + ∠QRS = 180°

∠PQR + 68 = 180

∠PQR = 112°

Also, PS =  QR (from the endpoint of  the diameter), hence:

∠QPS = ∠PQR = 112°

The measure of angle QPS in circle C is 112°

Find out more on circle at: https://brainly.com/question/24375372

Answer: 0.2916666665

Step-by-step explanation:

Answer:

[tex]\frac{7}{24}[/tex]

Step-by-step explanation:

By the Pythagorean Theorem, we know

[tex]\cos^2a=1-\sin^2a[/tex].

With this, we can find [tex]\cos a[/tex] by plugging in what we know for [tex]\sin a[/tex]:

[tex]\cos^2a=1-(\frac{4}{5})^2\\~~~~~~~~=1-\frac{16}{25}\\~~~~~~~~=\frac{9}{25}[/tex].

Taking the square root, we get

[tex]\cos a=\frac{3}{5}[/tex] .

Note: there seems to be a problem with the question? It doesn't specify what range [tex]a[/tex] lies in, so we don't know whether [tex]\cos a[/tex] is positive or negative. In this case, I assumed it was positive.

From this, we can find [tex]\tan a[/tex]:

[tex]\tan a=\frac{\sin a}{\cos a}\\~~~~~~~=\dfrac{\frac{4}{5}}{\frac{3}{5}},[/tex]

so [tex]\tan a=\frac{4}{3}[/tex].

Using the [tex]\tan[/tex] difference formula, we know

[tex]\tan (a-b)=\dfrac{\tan a -\tan b}{1+\tan a\tan b}[/tex] .

Plugging in the values we know for [tex]\tan a[/tex] and [tex]\tan b[/tex], we get

[tex]\tan(a-b)=\dfrac{\frac{4}{3}-\frac{3}{4}}{1+\frac{4}{3}\cdot\frac{3}{4}}\\~~~~~~~~~~~~~~=\dfrac{\frac{7}{12}}{1+1}\\~~~~~~~~~~~~~~=\boxed{\frac{7}{24}}~.[/tex]

Answer:

32,667

30,000+2,000+600+60+7

Answer:

37°

Step-by-step explanation:

1. Label the sides: the hypotenuse (the longest, slanted side) is 5 and the adjacent is 4. This means that we are using cosine (CAH)

2. Write out the equation: cosine or cos (?) = adjacent ÷ hypotenuse

3. Substitute in the values: cos (?) = 4 ÷ 5

4. Simplify: cos (?) = 0.8

5.  Type this into a calculator to find ?:  [tex]cos^{-1}(0.8)[/tex]

? = 36.86989... ≈ 37°

Hope this helps!

Answer: 152

Step-by-step explanation:

Let the number = x.

Therefore, x*25% = 38

25% as a decimal is 0.25.

So, 0.25x = 38

We can divide both sides by 0.25:

x = 152

Answer:

13) C= 95°, a= 0.157, c= 9.86

14) C= 165°, a= 3.35, b= 1.68

15) A= 40°, a= 2, c= 3.06

16) C= 50°, a= 11.8, c= 9.19

Step-by-step explanation:

Please see the attached pictures for the full solution.

Note:

sine rule

[tex] \textcolor{steelblue}{\boxed{{\frac{ \sin A}{a} = \frac{ \sin B }{b} = \frac{ \sin C}{c} }}}[/tex]

∠ sum of ∆

The sum of the angles in a triangle is 180°.

Hopefully, I have read the problems right. The small writing is slightly blurry.

[1] Both 1 and 2 are equal to 70°

    Angle 1 and Angle 2 will be equal to each other because they are vertical angles.

    A straight line is 180°, so 180° - 110° = 70°

[2] Both 3 and 4 are equal to 99°

    Again, Angle 3 and Angle 4 will be equal to each other because they are vertical angles.

    We can solve for the other two angles by putting them equal to each other since they are also vertical angles.

3x - 15° = 2x + 17°

3x = 2x + 32°

x = 32°

-

2x + 17°

2(32)° + 17°

64° + 17°

81°

    Also again, a straight line is 180°. 180° - 81° = 99°

[3] This one has too many subparts for Brainly.

    As a hint, you will use the same methods above. Find vertical angles and use the degree of a straight line.

There are no pictures provided.

( Talking about the models )

Answer:

i think it might be c

Step-by-step explanation:

tell me if its wrong or not and brain list please

Answer:

the $4000 WILL EARN 4 TIMES THE AMOUNT OF INTEREST.

Step-by-step explanation:

If both investments have same interest they will grow in the same proportion that the initial amount have.