BER33333 Solving a word problem with two unknowns using a linear...
Devaughn is 8 years older than Sydney. The sum of their ages is 104. What is Sydney's age?
years old
Х
$
?

Answer:

Step-by-step explanation:

1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.

2.) 1.07*$450 = $481.50, including sales tax (final price)

3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)

4.) 100-35-45 = 20%

250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.

Answer:

B. y = 4x

2 + 4

Step-by-step explanation:

sana nakatulong

Answer:

14<14*1.5

Step-by-step explanation:

This is because 14*1.5 is 21. 21 is greater than 14. I hope this helped you out!!

Answer:

1. 8820.26 yds^2

2. 101.265 m^2

Step-by-step explanation:

For both problems you need to use the equation π*r^2 which is the area of a circle and where r is the radius of the circle. The radius is also equal to 1/2 the diameter so using this we can figure out the are of the first circle

For the second problem we have to find the area of the circle with and without the sidewalk around it and subtract them from each other

m<3=60°

Answer:

m<4+m<3=90° each angle of rectangle is 90°

m<3=90-30=60°

Step-by-step explanation:

a) First we will convert 150km/hr to m/s.

[tex] \frac{150km}{1hr} = \frac{(150 \times 1000)m}{(1 \times 60)s} \\ = \frac{150000m}{60s} \\ = 2500m \: per \: second[/tex]

=2500m/s, which is the initial speed of the plane.

b)Final Speed of plane = Speed when it stopped.

= 0m/s.

c)Time taken to stop = 3 seconds.

d)Using the kinematic equation,

v = u + at,

where v = Final Speed = 0m/s

u = Initial Speed = 2500m/s

a = acceleration

t = time taken = 3 seconds

Substitute v, u and t to find a.

[tex]0 = 2500 + 3a \\ 3a = - 2500 \\ a = - 2500 \div 3 \\ = - 833 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]

- 17 woule be the correct answer for the equation being simplified

Answer:

For edge

Step-by-step explanation:

The first one is -3

The second one is -6

The last one is -17

Answer: B. 40

Step-by-step explanation:

We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40

Answer:

The great common factor is:

Steps:

given:

4x²yz³ = 2²x²z²yz

4x²yz³ = x(2z)²xyz

---------------------------------

12xz² = 4×3xz²

12xz² = 2²3xz²

12xz² = x(2z)²3

The great common factor is: x(2z)²

Answer:

4xz^2.

Step-by-step explanation:

GCF of 4 and 12 is 4

GCF of x^2 and x is x.

GCF of z^3 and z^2 is z^2.

Answer:

12.5y/x

Step-by-step explanation:

125y²/10xy​ = 12.5y/x

Step-by-step explanation:

Use the method of TOA CAH SOH.

[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]

[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]

Perimeter of triangle = Sum of all sides =

[tex]u \: + \: v + 4[/tex]

Answer:

use right angeled triangle method.

Answer:

A

Step-by-step explanation:

You people my pl

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Answer: 42

Explanation:

120 x .35 = 42

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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42 is your answer

Answer:

let no be x

10% of x=12

x=1200/10=120

again

45% of x=54

x=5400/45=120

here

35% of 120=35/100×120=42

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

Answer:

1)765432

Nearest ten: 765430

Nearest hundred: 765400

Nearest thousand: 765000

2) 987640

Nearest ten: 987640

Nearest hundred: 987600

Nearest thousand: 988000

Not sure if this is what you want.

Answer:

(p + q)²            -          ∛(h·3k)   or   (p + q)² - ∛(h·3k)  

Step-by-step explanation:

Cube root of x:  ∛x

Product of h and 3k:  h·3k

Sum of p and q:  p + q

*****************************

From (p + q)²      subtract ∛(h·3k)      This becomes, symbolically:

=>       (p + q)²            -          ∛(h·3k)

Answer:

correct me if im wrong bb

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

Answer:

The answer is A

Step-by-step explanation:

just got it right on edge :)

The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)

A rotation is a type of transformation that rotates each point in a figure a specific number of degrees around a particular point.

When we rotate a point around the origin by 90° clockwise or anti-clockwise, (x,y) becomes (y,-x) .

- Then matrix of the rotation 90° is

[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex]

We have the point U (-4, 7) and its image is

U' =[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-4\\7\end{array}\right][/tex]

U' = [tex]\left[\begin{array}{ccc}-7\\-4\end{array}\right][/tex]

and, point V is (5, 4) and its image is

V' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\4\end{array}\right][/tex]

V' = [tex]\left[\begin{array}{ccc}-4\\5\end{array}\right][/tex]

and, point W is (5, -5) and its image is

W' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\-5\end{array}\right][/tex]

W' = [tex]\left[\begin{array}{ccc}5\\5\end{array}\right][/tex]

So, The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)

Learn more about Rotation here:

https://brainly.com/question/12518192

#SPJ3

Answer:

-179, since it is negative then there are no real roots

Step-by-step explanation:

b²-4ac is the discriminant formula

9v² + v + 5 = 0  ∴  a = 9, b = 1, c = 5

1² - 4(9)(5) = -179

Answer:

If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.

Step-by-step explanation:

By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.

Answer:

[tex]x = 32 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k first.

When y= 35, x= 14,

[tex]35 = \frac{k}{14} [/tex]

k= 14(35)

k= 490

Substitute the value of k into the equation:

[tex]y = \frac{490}{x} [/tex]

When y= 15,

[tex]15 = \frac{490}{x} [/tex]

15x= 490

x= 490 ÷15

[tex]x = 32 \frac{2}{3} [/tex]

Answer: 2/21

Step-by-step explanation:

5[5y -6] = 4[y -7]

We first need to open the bracket to be able to solve the question

25y - 30 = 4y - 28

Collect like terms

25y - 4y = -28 + 30

21y = 2.

y = 2/21

Therefore, the value for y is 2/21.

Answer: 84° & 66°

Step-by-step explanation:

find our variables...

difference in two unknown angles is 18 so...

Let's use a, b, & c to set up

a=30 b=b c=b-18

150=b+c

150=b+(b-18)

150=2b-18

168=2b

84=b

Use our known b to find c...

c=b-18

c=84-18

c=66

Adding all three up to make sure they give us 180 degrees is a good way to check our work.

a+b+c=

30+84+66=180