solve: m/4= −13
make sure to show your work

The solution of the algebraic equation is n = (3-4c)/p

An algebraic equation or expression is any equation that contains unknown values, usually represented with alphabets or letter

Given: -np-5=4(c-2)​

-np-5 = 4(c-2)​

Expand the bracket:

-np-5 = 4c-8

Collect like terms:

-np = 4c-8+5

-np = 4c-3

Divide both sides by -p:

n = -(4c-3)/p

n = (-4c+3)/p = (3-4c)/p

Thus, the solution is n = (3-4c)/p

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Answer:

The numbers are 6 and 7.

Step-by-step explanation:

4² = 16

5² = 25

6² = 36

7² = 49

√36 = 6

√42 = ?

√49 = 7

The numbers are 6 and 7.

The estimated sum of 7 83/84 is 8 to the nearest whole number.

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

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Answer:

7, -9

Reasoning:

When x is 7 or -9, the denominator equates to zero, making the expression undefined because nothing can be divided by zero.

Answer:

6 pieces

Explanation:

Given a string that is 33 inches in length.

She wants to cut the string into pieces that are 5½ inches in length each.

To determine the number of possible pieces, divide 33 by 5½.

The number of pieces she can cut is 6.

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

p=(800)(3/5)^t

Step-by-step explanation:

Answer: 800 - (3/5xt)

Step-by-step explanation:

800 is the base value and you have to multiply 3/5 by t

The area of the given figure with rectangle and triangle is 27.5 square centimeters.

The given figure has a rectangle and two triangles.

The area of the rectangle is length times width

Length = 5 cm

Width = 4 cm

Area of rectangle = 5×4

=20 square centimeters

Area of triangle =1/2 base ×height

=1/2×2.5×3

=3.75  square centimeters

As there are two triangles, 2(3.75)=7.5   square centimeters

Total area = 20+7.5

=27.5 square centimeters

Hence, the area of the given figure with rectangle and triangle is 27.5 square centimeters.

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Answer:

1116units²

Step-by-step explanation:

area of trapezium= (a+b)h all over 2

a=38

b=55

h=24

area= (38+55)*24 allover 2

area= 1116units²

Given the information

Jenny buys 22 drinks

drinks are on sale 0.35off per drink

22 drinks after sale= 18.70

the expression

represents that for 22 drinks at a price x we substract 22*0.35 (sale) and the final result is 18.70

in other worlds

represent what is the presale price of the sport drink

Correct answer

option A

Answer:

37.5

Step-by-step explanation:

Given that:

We are to evaluate the integral of \(\iint_R (5-x) \ dA\) bounded by the region

0 ≤ x ≤ 5, 0 ≤ y ≤ 3

∴

\(\int ^3_0 \int ^5_0 (5-x) \ dx. dy\)

= \(\int ^3_0 \begin {bmatrix} 5x-\dfrac{x^2}{2} \end {bmatrix} ^5_0 \ dy\)

= \(\int ^3_0 \begin {bmatrix} 5\times 5-\dfrac{(5)^2}{2} \end {bmatrix} \ dy\)

= \(\int ^3_0 \begin {bmatrix}25-\dfrac{25}{2} \end {bmatrix} \ dy\)

= \(\int ^3_0 \begin {bmatrix}\dfrac{50-25}{2} \end {bmatrix} \ dy\)

= \(\begin {bmatrix}\dfrac{25}{2} \end {bmatrix}^3_0\)

= \(\dfrac{25 \times 3}{2}\)

= \(\dfrac{75}{2}\)

= 37.5

Answer:

4/5 is greater than 2/6 because 4/5 is greater than 1/2 and 2/6 is less than 1/2

What is benchmark fraction?

Benchmark fractions are fractions that are used to compare fractions, usually when teaching a concept. They are often used to represent common fractions like halves, thirds, fourths, and eighths. They are also used to help students understand the relationships between fractions, like one half being the same as two fourths.

In the given question:

the value of 1/2  = 0.5, it is represent as halves

the value of 2/6 = 0.3, when we divide 2/6 it gives 1/3 which is represent as thirds.

The value of 4/5 = 0.8.

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Answer:

10

Step-by-step explanation:

50 students.

20% = 20/100 = 1/5

50*1/5 = 10

There are 10 left-handers.

Answer:

-6

Step-by-step explanation:

27 - 1.5x ≤ 36

54 - 3x ≤ 72

54 - 72 ≤3x

-18 ≤ 3x

-6 ≤ x

x ≥ -6          Hope this helped and sorry if its wrong

Answer:

[3,4,5]

Step-by-step explanation:

the answer is [3,4,5,]

because domain means it is the value of x.

Answer:

y=1/3x+2

Step-by-step explanation:

................

Answer:

y=1/3x+2

Step-by-step explanation:

slope intercept form: y=xm+b

6y=2x+12

/6       /6

y=2/6x+2

y=1/3x+2

have a great day!

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 50000\\ P=\textit{original amount deposited}\dotfill &\$23000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &7 \end{cases}\)

\(50000 = 23000\left(1+\frac{ ~~ \frac{r}{100} ~~ }{4}\right)^{4\cdot 7} \implies \cfrac{50000}{23000}=\left( 1+\cfrac{r}{400} \right)^{28} \\\\\\ \cfrac{50}{23}=\left( \cfrac{400+r}{400} \right)^{28}\implies \sqrt[28]{\cfrac{50}{23}}=\cfrac{400+r}{400} \\\\\\ 400\sqrt[28]{\cfrac{50}{23}}=400+r\implies 400\sqrt[28]{\cfrac{50}{23}}-400=r\implies \stackrel{ \% }{11.25}\approx r\)

Answer:

they are equal

Step-by-step explanation:

The graph of the piecewise function is the one in option D-

First, we know that:

f(x) = 4  when x ≤ 3

So, we want to have a horizontal line in the left side of the graph, such that it ends in a closed circle at x = 3 (we need to have a closed circle because the symbol ≤ is used).

From the given graphs, the only one with that form is D.

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Answer:

0.3756

Step-by-step explanation:

I believe this is a combinatorics probability problem.

We first figure out in how many ways we can choose 3 cats out of 14 cats

Then we figure out how many ways we can choose 2 dogs out of 7 dogs

The total number of ways to select 3 cats and 2 dogs will be the product of these two

We then figure out in how many ways we can select 5 animals out of a total of 21 animals

The product we computed divided by the above number will give the probability

The number of ways we can choose k items out of n items is given by nCk i.e n Choose k

The formula is rather complicated but almost all calculators should be able to compute this given n and k

Let's deal with the selection of 3 cats from the population of 14 cats

This is given by 14C₃ which works out to 364

Number of ways for selecting 2 dogs from 7 dogs = 7C₂ = 21

Number of ways of selecting 5 animals from 21 = 21C₅ = 20349

The probability of selecting 3 cats and 2 dogs is therefore:

\(\dfrac{364 \times 21}{20349} = 0.3756\)

That, I believe is the answer. Please let me know if it is correct and if you need more info.

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

\(\frac{(-2*24)/3+(7*24)/8}{24}\)=

\(\frac{-2*24/3+7*24/8}{24}\)=

\(\frac{-2*8+7*3}{24}\)=

\(\frac{-16+21}{24}\)=5/24

Answer:

10 and 16

15 and 24

20 and 32

Step-by-step explanation:

Brainliest please?

Answer:

its independent, because the outcome of the first roll does not affect the outcome of the second roll

Hence, P(A and B) can be calculated as

P(A and B) = P(A) x P(B)

For event A,

you row a two first

Probability = possible outcome / total outcome

If Pete used 3/4 of a ton of crushed rock then 1/4 crushed rock will remain unused.  

How to subtract to fractions?

Go through the below steps to subtract fractions.

Step 1: Determine the LCM of the denominator values.

Step 2: Convert the denominator to the LCM value by multiplying the numerator and denominator using the same number.

Step 3: Subtract the numerators, once the fractions have the same denominator values.

Step 4: Simplify the fraction, if required.

According to the given question:

Pete ordered 6/7 of a ton of the crushed rock to build a patio in his yard.

If Pete used 3/4 of the rock instead of 6/7 of a ton then unused crushed rock

= 1 - 3/4

= (4 - 3)/4

= 1/4

Therefore 1/4 crushed rock will remain unused.  

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Answer:

4+7-2

=11-2

=9

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

\(d = \sqrt{( y _2 - y) {}^{2} + ( x_2 - x ) {}^{2} } \)

\(d = \sqrt{( - 1 - 4) {}^{2} + \sqrt{ - 4 + 1) {}^{2} } } \)

\(d = \sqrt{ - 5 {}^{2} +( - 3 {}^{2} )} \)

\(d = \sqrt{25 + 9} \)

\(d = \sqrt{34} \)

The missing values are:

t = 11 sec.

D = 40 ft/sec

D = 70 ft/sec.

Given:

t        r        D

4      10      

7      10      

       10       110

Time = divide and Distance = multiply

Finding t:

Time = divide means to find time divide.

Time = D/r

= 110/10

= 11 sec.

Finding D:

Distance = multiply

so D = t*r

= 4*10

= 40 ft.

D = t*r

= 7*10

= 70 ft.

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Answer:

7((x-2)(3x+4))

Step-by-step explanation:

Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product.  You get 7((x-2)(3x+4))

Answer:

Hello there, I think this is the answer

a = - 2

b = - 9

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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