Find the volume of this triangular prism. 7m, 9m, and 10m

Answer:

24 Months

Step-by-step explanation:

First you need to know how many books Ronnie read each month. 30 ÷ 15 = 2

Now you know Ronnie reads 2 books every month for 15 months.

So just take 48 ÷ 2 = 24

You take 48 because that's the total number of books so far and you divide it by 2, because he reads 2 books every month. That gives you a total of 24 months he has been with his book club.

Answer:

The numbers are:

[tex]x=400,\:y=600[/tex]

Step-by-step explanation:

Let 'x' be the first number

Let 'y' be the first number

5% of x = 5/100x = 0.05x

4% of y = 4/100y = 0.04y

so the equation becomes

0.05x + 0.04y = 44

Also

4% of x = 4/100x = 0.04x

5% of y = 5/100y = 0.05y

so the equation becomes

0.04x + 0.05y = 46

Thus, the system of the equations becomes

0.05x + 0.04y = 44

0.04x + 0.05y = 46

solving the system of the equation

[tex]\begin{bmatrix}0.05x+0.04y=44\\ 0.04x+0.05y=46\end{bmatrix}[/tex]

isolate x for 0.05x + 0.04y = 44

[tex]0.05x + 0.04y = 44[/tex]

Multiply both sides by 100

[tex]0.05x\cdot \:100+0.04y\cdot \:100=44\cdot \:100[/tex]

[tex]5x+4y=4400[/tex]

[tex]5x=4400-4y[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}=\frac{4400}{5}-\frac{4y}{5 }[/tex]

[tex]x=\frac{4400-4y}{5}[/tex]

[tex]\mathrm{Subsititute\:}x=\frac{4400-4y}{5}[/tex]

[tex]0.04\cdot \frac{4400-4y}{5}+0.05y=46[/tex]

simplify

[tex]35.2+0.018y=46[/tex]

now isolate y for [tex]35.2+0.018y=46[/tex]

[tex]35.2+0.018y=46[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}1000[/tex]

[tex]35.2\cdot \:1000+0.018y\cdot \:1000=46\cdot \:1000[/tex]

[tex]35200+18y=46000[/tex]

[tex]18y=10800[/tex]

Divide both sides by 18

[tex]\frac{18y}{18}=\frac{10800}{18}[/tex]

[tex]y=600[/tex]

[tex]\mathrm{For\:}x=\frac{4400-4y}{5}[/tex]

[tex]\mathrm{Subsititute\:}y=600[/tex]

[tex]x=\frac{4400-4\cdot \:600}{5}[/tex]

[tex]x=400[/tex]

Therefore, the numbers are:

[tex]x=400,\:y=600[/tex]

The first number be x is 400 and the second number be y is 600.

Given that,

The sum of 5% of one number and 4% of a second number is 44.

The sum of 4% of the first number and 5% of the second number is 46.

We have to find,

The numbers.

According to the question,

Let, the first number be x,

And the second number be y,

Then,

5% of x = 0.05x

4% of y = 0.04y

The sum of 5% of one number and 4% of a second number is 44 then, the equation is,

0.05x + 0.04y = 44

And As the sum of 4% of one number and 5% of a second number is 46 then, the equation becomes,

5% of y = 0.05y

4% of x = 0.04x

0.04x + 0.05y = 46

On solving both the equations multiply both the equation by 100,

[tex]5x + 4y = 4400\\\\4x + 5y = 4600[/tex]

From equation 1,

[tex]5x + 4y = 4400\\\\5x = 4400-4y\\\\x =\dfrac{ 4400-4y}{5}[/tex]

Substitute the value of x in equation 2,

[tex]4(\dfrac{4400-4y}{5}) + 5y = 4600\\\\17600-16y + 25y= 4600\times 5\\\\17600 + 9y = 23000\\\\y = \dfrac{5400}{9}\\\\y = 600[/tex]

Substitute the value of x in equation 1,

[tex]5x + 4y = 4400\\\\5x + 4(600) = 4400\\\\5x + 2400 = 4400\\\\5x = 4400-2400\\\\5x = 2000\\\\x = \dfrac{2000}{5}\\\\x = 400[/tex]

Hence, The first number be x is 400 and the second number be y is 600.

To know more about Equation click the link given below.

https://brainly.com/question/23017717

Answer:

Step-by-step explanation:

A = p(1+r/n)nt

A = final amount

p = principal = 2000

r = interest rate = 0.024

n = # times compounded pet year = 12

t = time in years = 7

A = 2000(1+.024/2)12(7)

A = 2000(1.012)^84

Answer:

28 weeks

b.

Step-by-step explanation:

5x<140

x=28

Answer: 5x+60 ≤ 200

Step-by-step explanation:

Answer:

21.26 or 21.3 inches.

Step-by-step explanation:

Think of this as a right triangle.

The height is 16 inches.

The width is 14 inches.

So, the diagonal is...

We need to use the Pythagorean Theorem to solve this.

a^2 + b^2 = c^2

Height^2 + Width^2 = Diagonal^2

16^2 + 14^2 = c^2

256 + 196 = c^2

c^2 = 452

So, c = Square root of c^2 = Square root of 452.

So, Square root of 452 = 21.26

So, the diagonal = 21.26 or 21.3 inches.

Answer:

Which Question?

Step-by-step explanation:

Answer:

=11v+13w

Step-by-step explanation:

Combine Like Terms:

=−2w+11v+15w

=(11v)+(−2w+15w)

=11v+13w

we'll need to simplify the expression by using the symbols and combations of the equation

(-2w + 11v) - (-15w)

we'll need to turn subtraction and multiplication into addition

so remove the bubbles, and add (keep the minus/negative sign

−2 (w) +11(v) +15 (w)

we'll separate the letters so w with w and v with v (or by it's self

11(v)  +  (−2(w)+15(w))

and this will equal the answer me and op who made the other answer correct

by subtracting 2 with 15 since it's negative so it'll equal 13w and 11v stays the same

11v + 13w

Answer:

acute angles ig..............

Answer:

a. acute

Step-by-step explanation:

Acute is anything smaller than 90 degrees, which this triangle is.

Equiangular would mean that all the angles have to be the same which this triangle is not.

Obtuse triangle means one of the angles is more than 90 but less than 180, which this triangle is also not.

Right triangle means that one of the angles have to be 90 degrees, or u can say a right angle, none of the angles in this triangle is 90 degrees so no.

Answer:

Step-by-step explanation:

The way we determine if ratios are equivalent is by a proportion. It also helps to know that a foot is 12 inches, so you have the wrong answer. The correct answer is table 2. The way we solve is by dividing the number of inches by 12 to see if we get the number of feet specified on the table.

24/12 = 2

60/12 = 5

72/12 = 6

84/12 = 7

All of these match up to their respective foot measurements.

Answer:

1) 2x+7y

2) 7g+3h

3) 3p

Step-by-step explanation:

Combine like terms.

3x - (1)x = 2x, and 5y + 2y = 7y, so you could say 2x + 7y.

I hope this helps :)

Answer:

3x-x+5y+2y

Step-by-step explanation:

after putting the like terms together then add or subtract as given.

2x+7y as our final answer.

3g+4g+5h-2h

7g+7h

since our final answer is factorisable we write our final answer as 7(g+h)

4p+2p-3p

since our terms are all alike we just go directly to adding and subtracting.

3p as our answer

Answer:

0.006 m2

Step-by-step explanation:

SANA MAKATULOG

Step-by-step explanation:

1: Apply the distributive property. − 10 x − 5 ⋅ 1 − 5 ( − 5 x )

2: Multiply−5by1

−10x−5−5(−5x)

3: Multiply−5by−5.

−10x−5+25x

4: Add−10xand25x.

15x−5

Description:

First step is to Multiply the equation then after that you can multiply it by 5 that will lead your answer to −10x−5+25x. Then at the end add 10* and 25*. That will equal your answer as 15x−5.

Hope this helps.

the answer I got is 30

Step-by-step explanation:

92-32=60 60-16=44 36-4=32 32-2=30

Answer:

An exponential function is a function of the form

f(x)=bx

where b≠1 is a positive real number. The domain of an exponential function is (−∞,∞) and the range is (0,∞).

Solve the equation: 52x−3=752x−3=7.

Since we can’t easily rewrite both sides as exponentials with the same base, we’ll use logarithms instead. Above we said that logb(x)=ylogb⁡(x)=y means that by=xby=x. That statement means that each exponential equation has an equivalent logarithmic form and vice-versa. We’ll convert to a logarithmic equation and solve from there.

52x−3log

⎛⎝⎜

⎞⎠⎟=7=2x−352x−3=7log5

⁡(7

)=2x−3

From here, we can solve for xx directly.

2xx=log5(7)+3=log5(7)+32

A logarithmic function is a function defined as follows

logb(x)=ymeans thatby=xlogb⁡(x)=ymeans thatby=x

where b≠1b≠1 is a positive real number. The domain of a logarithmic function is (0,∞)(0,∞) and the range is (−∞,∞)(−∞,∞).

Solve the equation:

log3(2x+1)=1−log3(x+2).log3⁡(2x+1)=1−log3⁡(x+2).

With more than one logarithm, we’ll typically try to use the properties of logarithms to combine them into a single term.

log3(2x+1)log3(2x+1)+log3(x+2)log3((2x+1)(x+2))log3(2x2+5x+2)2x2+5x+22x2+5x−1=1−log3(x+2)=1=1=1=3=0log3⁡(2x+1)=1−log3⁡(x+2)log3⁡(2x+1)+log3⁡(x+2)=1log3⁡((2x+1)(x+2))=1log3⁡(2x2+5x+2)=12x2+5x+2=32x2+5x−1=0

Let’s use quadratic formula to solve this.

x=−5±52−4⋅2⋅−1−−−−−−−−−−−√2⋅2=−5±

−−−−−−−−⎷4.x=−5±52−4⋅2⋅−12⋅2=−5±33

4.

What happens if we try to plug x=

Answer:

(-3,2) is the solution to the system of equation

Step-by-step explanation:

Here, we want to know the point that serves as a solution to the system of equation

We equate the y

-2x + 4 = -1/3x-1

Multiply through by 3

-6x + 12 = -x-3

-6x + x = -3-12

5x = 15

x = 15/5

x = 3

Substitute x into one of the y

y = -2(3) + 4

y = -6 + 4 = -2

So the solution is;

(3,-2)

Answer: 0.04 inches²

Step-by-step explanation:A of Triangle = 1/2*B*H where B is base and H is height. Find the area of the bigger triangle and then subtract the area of the smaller triangle

1/2*(0.4)*(0.3) = 0.06

1/2*(0.4)*(0.1) = 0.02

0.06 - 0.02 = 0.04

Answer:

the answer is mx +B plus the quradratic formula

Answer:

2

Step-by-step explanation:

77.50 - 63.50 = 14

per gigabyte $5 + 5 =10

so answer is 2

Henry can only use 2 gigabyte of data in other to stay within his budget.

To solve :

Flat fee = $63.50

Price per gigabytes = $5

Total budget = $77.50

Let the number of gigabyte = g

Expressing the problem as a mathematical expression :

63.50 + 5g ≤ 77.50

Collect like terms

63.50 - 77.50 ≤ - 5g

-14 ≤ - 5g

Divide bith sides by - 5 to isolate g

-14 / - 5 ≤ g

2.8 ≤ g

Therefore, to stay within his budget he must not use beyond 2.8 gigabyte of data.

If a whole number value is required, then he can only use 2 gigabyte of data in other to stay within his budget.

Learn more : https://brainly.com/question/18796573

Step-by-step explanation:

47)25+35x+4x-1=180

24+39x=180

39x=180-24

39x=156

x=4

48)70+9x-5+13x+5=180

70+22x=180

22x=180-70

22x=110

x=5

Hope this helps u...

[tex]3 \frac{1}{4} \times 2 \frac{1}{2} - 1 \frac{1}{3} [/tex]

[tex] \frac{13}{4} \times ( \frac{5}{2} - \frac{4}{3} )[/tex]

[tex] \frac{13}{4} \times ( \frac{15}{6} - \frac{8}{6} )[/tex]

[tex] \frac{13}{4} \times \frac{7}{6} [/tex]

[tex] \frac{91}{24} [/tex]

[tex]3 \frac{19}{24} [/tex]

Answer:

x = 75

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

You have to multiply 5 to x/5 and 15

5x/5 = 15 * 5

x = 75

Answer:

The answer to number one is 3 and the answer is to number 4 is

Step-by-step explanation:

Answer:

Scale factor of 2.5

Step-by-step explanation:

Answer:

|x|-3 30

Step-by-step explanation:

|x|-3 30

|-7x|>=49

in |7x|>=49,

28>=49

which doesn't work

Hope this helps!

Answer:

[tex]y = -3x + 5[/tex]

Step-by-step explanation:

We know we'll have to use the linear equation [tex]y=mx+b[/tex]

Since [tex]m[/tex] means gradient (or slope) we know that it's -3 since that's already indicated to us

All that we have to find now is b, and we can find this by plugging in the known values of x and y since we have the coordinate (2,-1)

We can plug these values in and solve for b

[tex]-1 = -3\cdot 2 + b\\-1 + 6 = b \\b = 5 \\[/tex]

Therefore, in order to get the equation we just have to replace b with 5

[tex]y = -3x + 5[/tex]

Good luck!