Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation.

Hi!

[tex]|15x+2|=8\\\\\\15x+2=8\\15x=8-2\\15x=6 \ \ |:15\\\boxed{x_1=0,4}\\\\\\15x+2=-8\\15x=-8-2\\15x=-10 \ \ |:15\\\boxed{x_2=-\frac{2}{3}}[/tex]

Answer:

x = 2/5      x = -2/3

Step-by-step explanation:

|15x + 2 |= 8

There are two solutions, one positive and one negative

15x + 2 = 8  and 15x + 2 = -8

Subtract 2 from each side

15x + 2-2 = 8-2  and 15x + 2-2 = -8-2

15x = 6                             15x = -10

Divide by 15

15x/15 = 6/15                   15x /15 = -10/15

x = 2/5                               x = -2/3

Answer:

The diameter would be 11 feet

Step-by-step explanation:

C = pi * d

we don't know D so we rearrange the equation to solve for D by dividing both sides by pi:

C/pi = d

Now we plug in everything

11pi/pi = d

The pi cancel each other out leaving with 11 feet

Therefore D = 11 feet

Answer:

60

Step-by-step explanation:

5*3*4

Answer:

100% - 76% = 24%

24% = 0.24

0.24*50 = 12

You got 12 questions wrong.

Step-by-step explanation:

Please mark brainliest!

Number of questions that got wrong are 12 .

Given,

76% on a 50 question test.

Here,

Let total percentage value be 100%.

Then,

100% - 76% = 24%

24% questions got wrong.

Number of questions that got wrong out of 50 will be ,

24% of 50

= 0.24*50

= 12

Therefore 12 questions got wrong.

Know more about percentages,

https://brainly.com/question/23418123

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Answer:

[tex]y = -\frac{2}{3}x + 2[/tex]

Step-by-step explanation:

The question is incomplete, as the graphs or equations of the lines are not given.

However, I will give a general explanation of calculating both intercepts

A linear equation is of the form:

[tex]y = mx + b[/tex]

Where:

[tex]b \to[/tex] y intercept

So, the equation

[tex]y = -\frac{2}{3}x + 2[/tex]

has 2 as its y-intercept

Set y to 0, to calculate the x-intercept

[tex]0 = -\frac{2}{3}x + 2[/tex]

Collect like terms

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

Multiply by 3/2

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

[tex]x = 3[/tex]

So, the equation with the required criteria is:

[tex]y = -\frac{2}{3}x + 2[/tex]

Answer:

None of the Above are correct

Answer:

If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.

So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.

Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:

angle 3 and angle 7 should be equal.

Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.

Here we have two cases:

1)  m∠3=69°, m∠7=71°

Here we can see that:

m∠3 ≠ m∠7

Thus, lines  R and S are not parallel.

And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.

2) Now we have that:

m∠3=76°  , m∠8=114°

Notice that angle 8 and angle 7 are adjacent, then we have that:

∠7 + ∠8 = 180°

And we know that:

∠8 = 114°

Then:

∠7 + 114° = 180°

∠7 = 180° - 114° = 76°

Then we have:

∠7 = ∠3

From this we can conclude that lines R and S are parallel.

(again, we can not do anything with lines N and M)

we know that :

10*pi/3------> convert to degrees------> 10*180/3=600 degrees

600=360+240

240 degrees belong to the III quadrant  so

the x-coordinate is negative

the y-coordinate is negative  

240°=180°+60°

60 degrees is the angle to find the terminal point

let  ∅=60°

in the unit circle

r=1 units

x=-r*cos ∅----> x=-cos 60------> x=-(1/2)

y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2

the point is ( -1/2 , -√3/2)

Answer:

The Angle-Side-Angle Theorem (ASA) states that if two angles and their included side are congruent to two angles and their included side to another triangle, then these two triangles are congruent.

Step-by-step explanation:

found this on varsitytutors.com

Answer:

abcdsStep-by-step explanation:

Answer:

y=3/5x-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first term is a, common difference is d.

The 6th term:

The 12th term:

Solve the system by elimination:

Find a:

Answer:

6th term = 30

12th term = 54

First term

Common difference

We know that

[tex] \sf \: a_{n} = a + (n - 1)d[/tex]

For 6th term

[tex] \sf \: 30 = a + (6 - 1)d[/tex]

[tex] \sf \: 30 = a + 5d[/tex]

For 12th term

[tex]\sf \: a_{n} = a + (n - 1)d[/tex]

[tex] \sf \: 54 = a + (12 - 1)d[/tex]

[tex] \sf \: 54 = a + 11d[/tex]

On subtracting both

[tex] \sf \: 54 - 30 = a + 11d - (a + 5d)[/tex]

[tex] \sf \: 54 - 30 = a + 11d - a - 5d[/tex]

[tex] \sf \: 24 = 6d[/tex]

[tex] \sf \: \dfrac{24}{6} = d[/tex]

[tex] \sf \: 4 = d[/tex]

Now

Using 2

[tex] \sf \: 54 = a + 11d[/tex]

[tex] \sf \: 54 = a + 11(4)[/tex]

[tex] \sf \: 54 = a + 44[/tex]

[tex] \sf \: 54 - 44 = a[/tex]

[tex] \sf \: 10 = a[/tex]

the formula for calculating the circumference is [tex]\pi[/tex] x diameter

so, 3.14 x 9 = 28.26ft (a)

Answer:

C = 28.26 ft

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

C = 3.14 *9

C = 28.26 ft

Answer:

Write as a percent.0.6 = 0.60 = 60%

Answer:

Its 60 percentage

HAVE A GREAT DAY :)

Answer:

you should use 1 ounce of chocolate to 6 ounces of butter

Step-by-step explanation:

if you are going from 8 ounces to 6 ounces of butter you are subtracting 2 ounces. to even it out you should use two ounces less of chocolate, leaving 1 ounce of chocolate to be used

Answer:

268 in ^2

Step-by-step explanation:

SA=2lw+2lh+2hw

width = 4    lenth = 6     height = 11

2(6)(4) + 2(6)(11) + 2 (11)(4)

= 2 (24) + 2(66) + 2 (44)

= 48 + 132 + 88

= 268 in ^2

Answered by G a u t h m a t h

Answer: 133,827 lb/ft^3

Step-by-step explanation:

V = (4/3) (3.14)(8^3) = 133,827

to Answer:

D is false

Step-by-step explanation:

AB and CD are not adjacent.

AB is adjacent to BC and AD  but not to CD.

Answer:

48.5

Step-by-step explanation:

53.5

-  5.0

48.5

5 tenths - 0 tenths = 5 tenths (.5)

3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)

the 5 in the tens position becomes a four because one got "borrowed"

4 - 0 = 4 (4)

48.5 is the result

Answer:  43,2

Step-by-step explanation:

[tex]\bf 3\sqrt{216 }=3\cdot 6\sqrt{6}=18\sqrt{6} \approx43.2 \\\\ \sqrt{216} =\sqrt{ 2^{3}\cdot 3^3}=\sqrt{2^2\cdot 3^2\cdot 3\cdot 2}=3\cdot 2\sqrt{3\cdot 2} =6\sqrt{6}[/tex]

Answer:

Step-by-step explanation:

Let,

Footprints that Adele will find be = f

So, Footprints that Yumiko finds = 2f = f + f

Since,

As given that,

Yumiko finds 16 Footprints so it will be,

2f = f + f = 16

And,

f = 16 / 2

= 8

Which is half of Footprints found by Yumiko.

So the bar model 1 represents it correct.

Answer:

option 1

Step-by-step explanation:

i did the quiz

Answer:

y = 658.3 ft

Step-by-step explanation:

x = 745.5 ft

y = 658.3 ft

tan 28 = 350/y

y = 658.3

Answered by GAUTHMATH

Answer:

zero of the function occurs at x = -6

Step-by-step explanation:

Given f(x) = -4(x+3)+6(x+4)

Since the question is incomplete, we can as well find the zero of the given function. The zero exists when f(x) = 0

Hence;

-4(x+3)+6(x+4) = 0

Expand

-4x - 12 + 6x + 24 = 0

Collect the like terms

-4x + 6x - 12 +24 = 0

2x + 12 = 0

2x = -12

x = -12/2

x = -6

Hence the zero of the function occurs at x = -6

Answer:

34

Step-by-step explanation:

x² = 30² + 16²

(pythagoras theorem)

x = Square root 30² + 16²

x = 34

Answer: 100 cell phones.

Step-by-step explanation:

The worker makes 2.5 phones an hour. 2.5 x 40 = 100.

Answer:

50 units

Step-by-step explanation:

this is a walk around problem

the sides of the triangles are 19, 13, and 18

perimeter = 19 + 13 + 18

p = 50 units

Answer:

Area: 2(15 + (x - 5))

Perimeter: 2(15)+2(x - 5)

Step-by-step explanation:

To find area you need to add the two sides together and multiply by two, this is as far as you can get with x.

Area: 2(15 + (x - 5))

To find perimeter, you need to find the singular lengths and multiply by two so this is as far as you can get.

Perimeter: 2(15)+2(x - 5)

Hope this helped.

Answer:

y = -1/3x

Step-by-step explanation:

Answer:

x = 14 2/3

Step-by-step explanation:

it is a parallelogram.

that means AB is parallel to CD, and AD to BC.

it also means that the total angles at B and D must be equal. and the total angles at A and C.

and the sum of all angles in a parallelogram is 360 degrees.

so, we have

360 = 2×(4x + 4x + 8) + 2×(x + 10 + 2x + 8) =

= 8x + 7x + 16 + 2x + 20 + 4x + 16 =

= 21x + 52

308 = 21x

x = 14.666666666.... = 14 2/3