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mash [69]
4 years ago
6

PLEASE HELP MEEE!

Mathematics
1 answer:
morpeh [17]4 years ago
7 0

Let p be the number of pens in container. If there are 9 more pencils than pens, then there are p+9 pencils in container.

In total, there are p+p+9=2p+9 utensils in the container.

You know that there are 25 writing utensils in the container in all, thus

2p+9=25.

Answer: correct option is D.

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The length of a rope is 21 3/8 feet. James cut 2 3/4 feet from this length of rope to use on a project. What length of rope is r
Nookie1986 [14]

Answer:

18 15/24

Step-by-step explanation:

21 3/8 is equal to 21 9/24, which is equal to 20 33/24 and 2 3/4 is equal to 2 18/24. When you subtract 20 33/24 and 2 18/24, the difference is 18 15/24. The length of rope remained unused is 18 15/24 feet.

6 0
3 years ago
Melanie uses the ordered pairs(2010,48) and (2013,59) to find her equation. Tracy defines x as the number of years since 2010 an
VARVARA [1.3K]

Answer:

The answer is "\bold{\frac{11}{3}}\\\\".

Step-by-step explanation:

Given value:

i) (2010,48) and (2013,59)

ii) (0,48) and (3,59)

Slope for the given point:

Formula:

\bold{M= \frac{y_2-y_1}{x_2-x_1}}

In point (i):

\to M= \frac{59-48}{2013-2010}\\\\

         = \frac{11}{3}\\\\

In point (ii):

\to M= \frac{59-48}{3-0}\\\\

         = \frac{11}{3}\\\\

6 0
3 years ago
Find f(-2) if f(x) = x + x + 7. f(-2) =
viktelen [127]

Answer:

f(-2) = 3

Step-by-step explanation:

Given that,

f(x) = x + x + 7

We need to find the value of f(-2).

Put x = -2 in the given function.

f(-2) = (-2) + (-2) + 7

= -2-2+7

= -4+7

= 3

Hence, the value of f(-2) is equal to 3.

3 0
3 years ago
Can anyone do 4,5 and 6 for me plz
cricket20 [7]

For  question 4, sinA =\frac{a}{c}, cosA= \frac{b}{c}, tan B = \frac{b}{a}, sin J = \frac{j}{l}, cosK = \frac{j}{l}, tanK = \frac{k}{j}.

Question 5. Option a and question 6. Option j

Step-by-step explanation:

Step 1:

The three basic formula needed to solve these questions are:

sin\theta = \frac{oppositeside}{hypotenuse} , cos\theta = \frac{adjacentside}{hypotenuse}, tan\theta= \frac{opposite side}{adjacent side}.

Step 2:

Using the above formula, we solve the following values

sinA = \frac{oppositeside}{hypotenuse}  =\frac{a}{c}.

cosA = \frac{adjacentside}{hypotenuse} = \frac{b}{c}.

tanB= \frac{opposite side}{adjacent side}= \frac{b}{a}.

sinJ = \frac{oppositeside}{hypotenuse} = \frac{j}{l}.

cosK = \frac{adjacentside}{hypotenuse}= \frac{j}{l}.

tanK= \frac{opposite side}{adjacent side}= \frac{k}{j}.

Step 3:

For question 5, The triangle's angle = 23°, opposite side = BC inches and hypotenuse = 4 inches.

sin\theta= \frac{opposite side}{hypotenuse}. sin 23^{\circ}= \frac{BC}{4}, sin23^{\circ} = 0.3907,BC = (0.3907)(4) = 1.5628.

SO BC is 1.5628 inches, rounding this off to the nearest tenth, we get BC = 1.6 inches which is option a.

Step 4:

For question 6, The triangle's angle = 50°, opposite side = QR m the adjacent side = 8.1 m.

tan\theta= \frac{opposite side}{adjacentside}. tan 50^{\circ}=\frac{QR}{8.1}, tan50^{\circ} = 1.1917,QR = (1.1917)(8.1) = 9.65277

SO QR is 9.65277 meters, rounding this off to the nearest tenth, we get QR = 9.7 inches which is option j.

7 0
3 years ago
Multiply and simplify. 2x2y3z2 · 4xy4x2 how to do?
Darya [45]

Answer:

\huge\boxed{8x^5y^7z^2}

Step-by-step explanation:

\text{Use}\ a^n\cdot a^m=a^{n+m}\\\\2x^2y^3z^2\cdot4xy^4x^2=(2\cdot4)(x^2xx^2)(y^3y^4)z^2=8x^{2+1+2}y^{3+4}z^2\\\\=8x^5y^7z^2

6 0
4 years ago
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