June earns $50 a week for babysitting. She
saves 1/4 of it and keeps 1/5 for bus fare and
gives her mother the rest. How much money
does her mother get?​

Answer:

y = 2/3(x - 3)

Step-by-step explanation:

slope of the line is 2/3

we can use point (3,0)

formula: y - y = m(x - x)

y - 0 = 2/3 (x - 3)

y = 2/3(x - 3)

Answer: 240 m

Step-by-step explanation:

Given

Football field measures [tex]100\ m\times 72\ m[/tex]

Another similar field of length

[tex]L=30\ m[/tex]

and width, say W is marked

So, their area must be the same

[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]

The width of the football field is 41.7m

The football measures 100m by 72 m. The school football field is similar.

For similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:

cross multiply

3000 = 72w

divide both sides by 72

w = 3000 / 72

w = 41.6666666667

w = 41.7 m

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Answer:

it would take 12.5 or 12 and a half years

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+110=180

x=70 degrees

y+40+110=180

y=30 degrees

z+70+90=180

z=20 degrees

Answer:

17.25

Step-by-step explanation:

Ratio of clean clothes to dirty clothes = 3 : 5

Clean clothes = 3

Dirty clothes = 5

Total ratio = 3 + 5 = 8

Total clothing article = 46

how many were clean

Number of clean clothes = ratio of clean clothes / total ratio × total clothing article

= 3/8 × 46

= 0.375 × 46

= 17.25

Answer:

Step-by-step explanation:

F

Answer:

Step-by-step explanation:

x   - measure of angle

x + 3.2°   - measure of its complementary angle

Complementary angles adds to 90°

x + x + 3.2° = 90°

2x = 90° - 3.2°

2x = 86.8°

 x = 86.8°÷2

 x = 43.4°

x+3.2° = 43.4° + 3.2° = 46.6°

Answer:

y = - 4x + 5

Step-by-step explanation:

(y-1)/ (5-1) = (x-1)/(-1)

y-1 / 4 = -x+1

y-1 = -4x+4

y = - 4x + 5

Answer:

1,436.8

Step-by-step explanation:

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

Answer: 50 inches

Step-by-step explanation:

Answer:

75 student tickets and 10 chaperone tickets

Step-by-step explanation:

First find out how many groups there are total by dividing 85 by 1 group total of 17 (15 students 2 chaperones).

85 / 17 = 5

Since you now know there are five groups of 15 students and 2 chaperones all you have to do is multiply 5 time 15 students and 5 times 2 chaperones.

15 x 5 = 75 for students

5 x 2 = 10 for chaperones  

Answer:

-10

Step-by-step explanation:

(-6)+(-4)

Answer:

Step-by-step explanation:

here is how you find the answer

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

now apply the above rules to the given triangle

where we are given the angle of 30°  and the Adj side of 27

y is the Hyp of this triangle and x is the Opp side of this triangle, now plug in the given values  as follows

so use CAH   Cos(30) = 27 / Hyp

Hyp = 27 / Cos(30)

Hyp = 27 / ([tex]\sqrt{3}[/tex] / 2)

Hyp = 27 * 2 /  [tex]\sqrt{3}[/tex]

Hyp = 54 / [tex]\sqrt{3}[/tex]

y = 54 / [tex]\sqrt{3}[/tex]

use SOH, since we know the exact value for the Hyp from above

Sin(30) = Opp / ( 54 / [tex]\sqrt{3}[/tex]  )

Sin(30) * 54 / [tex]\sqrt{3}[/tex]  = Opp

1/2 * 54 / [tex]\sqrt{3}[/tex]  = Opp

27 / [tex]\sqrt{3}[/tex]  = Opp

x = 27 / [tex]\sqrt{3}[/tex]

:)

Answer:

the four consecutive integers are 65 , 66 , 67 and 68 .

Step-by-step explanation:

you should let the first integer be x

so that would leave the 2nd as x + 1

The 3rd would be x + 2

and the 4rth would be x + 3

so X + X + 1 + X + 2 + X +3 =266

you can combine your like terms:

X+X+X+X= 4x

and 1+2+3=6

then you do simple algebra:

4x= 266-6

266-6= 260

4x=260

divide both sides by 4

260/4 is 65

x = 65

65 is your answer then you go up by 3 numbers.

hope I helped!!!

Answer:

10.1

Step-by-step explanation:

Step-by-step explanation:

it goes by this formula

[tex]a = \frac{1}{2} bh \\ \\ \\ a = \frac{1}{2} 6 \times 4.1 = 12.3[/tex]

Answer:

3,2

Step-by-step explanation:

3 is equal to 3 which can be it and 2 is less than 3

Answer:

There were 176 pitchers at the camp.

Step-by-step explanation:

Given that,

The ratio of pitchers to catchers at a baseball camp was 11:4.

Let pitchers be 11x and catachers be 4x.

Total catchers = 64

4x = 64

x = 16

So,

Pitchers = 11x

= 11(16)

= 176

Hence, there were 176 pitchers at the camp.

Answer:

x + y = 10

6x + 8y = 72

Step-by-step explanation:

Answer:

PJ = 41.34

Step-by-step explanation:

P is incenter, three angles bisector meet

∠MJP ≅ ∠OJP

PM = PN = PO = 22   (radius: property of incenter)

∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO

ΔJPM ≅ ΔJPO   (ASA) or (SAS)

LM = JO

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

PJ = √35²+22² = √1709 = 41.34

The value of PJ in triangle KJL is 41.32 units.

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

Given that, P is incenter of the triangle KJL,

Considering the triangles ΔMJP and ΔOJP

PM = PO (property of incenter)

∠ JMP ≅ ∠ JOP

JP is common segment.

ΔJPM ≅ ΔJPO  (by SAS rule)

JM = JO  (CPCTC)

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

Using the Pythagoras theorem,

PJ² = PM²+JM²

PJ = √35²+22² = √1709 = 41.34

Hence, The value of PJ in triangle KJL is 41.32 units.

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Answer:

17 cm and 15 cm.

Step-by-step explanation:

Area of a trapezoid = h/2(a + b)   where h = height and a and b are the 2 bases.

so we have:

(14/2)(a + b) = 224       Distributing:

7a + 7b = 224              Dividing thru by 7:

a + b = 32

Also we have

a - b = 2                   where a = longest base.

Adding the last 2 equations:

2a = 34

a = 17

So b = 17 - 2 = 15.

Answer:

m∠ABC = 110°

Step-by-step explanation:

By the property of exterior angle of a triangle,

"Exterior angle of a triangle is equal to the sum of two opposite interior angles"

m∠BAC + m∠ABC = 135°

25° + m∠ABC = 135°

m∠ABC = 135° - 25°

             = 110°

Therefore, measure of angle ABC is 110°.

Answer:

Read explanation

Step-by-step explanation:

A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.

B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.

Answer:

yee its 34ft..........

Height of the school building is equals to 34ft.

" Height is defined as one of the dimension which represents the distance between base and the top."

Formula used

Pythagoras theorem

(Hypotenuse)² = (Opposite side)² + (adjacent side)²

According to the question,

'h+ 10 ' represents the height of the building

As shown in the figure,

In the right triangle

' Hypotenuse' represented by length of the cable = 25ft

Adjacent side = 7ft

'h' is the height of the triangle

Substitute the value in the Pythagoras theorem we get,

  [tex](25)^{2} = 7^{2} + h^{2}[/tex]

⇒ [tex]h^{2} = 625 - 49[/tex]

⇒ [tex]h = \sqrt{576}[/tex]

⇒ [tex]h = 24[/tex] ft.

Therefore,

Height of the school building [tex]' h + 10 '= 24 + 10[/tex]

                                                              [tex]= 34[/tex] ft.

Hence, height of the school building is equals to 34ft.

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Answer:

-3x + 3y - 2

Step-by-step explanation:

Collect like terms and add/subtract

Answer: first one

Step-by-step explanation: