Anna lives 2.5 miles to the east of her school, and Ben lives 2 miles to the west of the same school.
Anna draws a map with a number line connecting her house to Ben’s house. On the number line, the school is at 0 and her house is at the point +2.5. On the map, Ben’s house is at the point

Answer: its for an assignment

Step-by-step explanation:

Answer:

Yusuf is 33 and Ajay is 18

Step-by-step explanation:

Let Y and A stand for the ages of Yusuf and Ajay, respectively.

We are told that:

(1/2)A + 24 = Y [Age of Yusuf is 24 years more than half the age of Ajay]

(A-5)+(Y-5) = 41  [5 years before sum of their ages was 41]

Take the definition of Y in the first equation and use it in the second:

Y = (1/2)A+24 from the first equation

(A-5)+(Y-5) = 41    The second equation

(A-5)+(((1/2)A + 24)-5) = 41  Replace Y with (1/2)A+24

(A-5)+(1/2)A + 24-5 = 41

A-5+(1/2)A + 24-5 = 41

(3/2)A + 14 = 41

(3/2)A = 27

A = (2/3)(27)

A = 18

Ajay is 18 years old

Yusuf is Y=(1/2)(18)+24

Yusuf is 33 years old

====

Check:  Is Yusuf 24 years more than half the age of Ajay?

Ajay = 18, so (1/2)18 = 9.  Add 24 years to get 33.  Yes, this works since Yusuf is 33 years old

Was the sum of their ages = 41 five years ago?

Ajay would have been 13 and Yusuf would have been 28  28+13 = 41  YES

Answer:

5

Step-by-step explanation:

Prime factorize 20 , 40 , 35

20 = 2 * 2 * 5

40 = 2 * 2 * 2 * 5

35 = 5 * 7

HCF = 5  

HCF is the common factor found in 20 , 40 and 35  

Answer:

Below

Step-by-step explanation:

The HCF or GCF of these number would be 5!

5 x 4 = 20

5 x 8 = 40

5 x 7 = 35

Hope this helps!

Answer:

Answer:

$46.50

Step-by-step explanation:

pls mark brainliest

Step-by-step explanation:

According to the fundamentals of Mathematics, as well as corresponding mathematical principles, encompassing trigonometry, are acknowledged to provide the intergenerational definitions for subsequent generations.

Thus far, the radius is equated to half the diameter.

Answer:

a)sin153°=0.454

cos153°=   -0.891

tan153°=   -0.510

b)sin 204°=  -0.407

cos204°=    -0.914

tan204° =   0.445

c)sin320°=   -0.643

cos320° =  0.766

tan320°=  -0.839

Step-by-step explanation:

Answer:

4.75t + 7.50b = 790

b = 2t

Step-by-step explanation:

Let t represent the number of tacos that he sold, and let b represent the number of burritos he sold.

4.75t can represent how much money he earned from selling tacos, and 7.50b can represent how much money he earned from selling burritos.

Create an equation that adds these together and sets them equal to 790:

4.75t + 7.50b = 790

Next, create another equation that represents how there were twice as many burritos sold than tacos.

This can be represented by b = 2t.

The system of equations is:

4.75t + 7.50b = 790

b = 2t

Answer:

a.125.89..............

Answer: 2

Step-by-step explanation: if you use a calculator or you could use paper and pencil write out the expression and you should get 2

Answer: 7 weeks

Step-by-step explanation:

16X + 127 = 239

16X = 239 - 127

16X = 112

X = 112/16

X = 7

The solutions are:

sin(a)  = 24/25

tan(a) = 24/7

For a given point (x, y) and an angle "a" measured counterclockwise from the positive x-axis to a ray that connects the origin with our point, we can think on the situation as a triangle rectangle.

Where the ray is the hypotenuse, the x-component is the adjacent cathetus, and the y-component is the opposite cathetus.

So we have:

x = adjacent cathetus

y = opposite cathetus

h = hypotenuse = √(x^2 + y^2)

Then the trigonometric relations become:

cos(a) = x/√(x^2 + y^2)

sin(a) = y/√(x^2 + y^2)

tan(a) = y/x

Now, we know that we have:

cos(a) = 7/25

then we can see that:

x = 7

and

h = 25 = √(7^2 + y^2)

We can solve the above equation for y:

25 = √(7^2 + y^2)

25 = √(49 + y^2)

25^2 = 49 + y^2

625 - 49 = y^2

√576 = y = 24

Then we have:

x = 7

y = 24

h = 25

Now we can return to our known trigonometric relations and get:

sin(a) = y/√(x^2 + y^2) = 24/25

tan(a) = y/x = 24/7

If you want to learn more about trigonometry, you can read:

https://brainly.com/question/14746686

Answer:

7 and - infinity

Step-by-step explanation:

The function is decreasing in nature. The function has a maxima when x is near 7 and as the function is decreasing, the function will approach -infinity as x approaches positive infinity.

Answer:

r÷12

Step-by-step explanation:

quotient means division

r÷12

Answer:

I think B is correct

Step-by-step explanation:

Because it it shows that -4 is going lesser direction including-4 .

Answer:

89.1

Step-by-step explanation:

As the ball bounces, the height lowers due to gravity, Goes down by 50, 40, 32, 26.6. It should continue to go down.

(If im wrong ill edit the answer.)

Answer:

around 4.1

Step-by-step explanation:

Using Pythaogrean theorem we get sqrt 32 or 4sqrt2 for the diagonal of the square.

To get x we can use Pythagorean theorem again to set up an equation,

32 + x^2 = 49

This gives us x = sqrt17, which is approximately 4.1231 or around 4.1

Answer:

Step-by-step explanation:

Answer:

x = 46.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin  54 = x / 58

58 sin 54 =x

x=46.92298

To the nearest tenth

x = 46.9

Ans : 22

if my ans wrong im srry

Answer:

25 +28+x=180

53+x=180

x=180_53

x=127

Answer:

365.7 km²

hopefully this answer can help you to answer the next question.

Answer:

Cạnh huyền=13, cgv1=12, cgv2=5

Step-by-step explanation:

Tam giác ABC

Gọi a là cạnh huyền(đối diện điểm A)

b là cgv đối diện điểm B

c là cgv đối diện điểm C

Theo đề bài: a=b+1 hoặc a=c+1

TH1: a=b+1 ta có hệ pt:

a=b+1                  (1)

b+c=a+4             (2)

[tex]b^{2} +c^{2} = a^{2}[/tex]         (3)

Thế (1) vào (2) ta được: b+c=b+1+4 => c=5

Thế (1) và c=5 vào (3) ta được:  [tex]b^{2} +5^{2} = (b+1)^{2}[/tex]  

<=>  [tex]b^{2} +25=b^{2} +2b+1[/tex]

<=> 2b=24 => b=12

=> a=b+1=12+1=13

TH2: a=c+1 ta có hpt

a=c+1                  (4)

b+c=a+4             (5)

[tex]b^{2} +c^{2} = a^{2}[/tex]         (6)

Tương tự tính được a=13,b=5,c=12

Vậy cạnh huyền=13, 1 cạnh góc vuông=5 và 1 cạnh góc vuông=12

[tex]\\ \sf\longmapsto \dfrac{2}{3}+f=\dfrac{1}{5}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{1}{5}-\dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{3-10}{15}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{-7}{15}[/tex]

Answer:

D. -7/15

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

f+ 2/3-2/3= 1/5-2/3

Step 2: Subtract 2/3 from both sides.

f= -7/15

Answer:

144.5 in ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h  where the b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 9.7+24.3) * 8.5

  = 1/2 ( 34)*8.5

   =144.5

We can simplify the wheel, thinking of it as a simple circle, then using general knowledge about circles, we can solve this.

1) Remember that one rotation of the wheel will be equal to the perimeter of the wheel, and for a circle of radius R, the perimeter is:

[tex]P = 2*3.14*R[/tex]

We know that our wheel has a radius of 5cm, then R = 5cm, we will get:

[tex]P = 2*3.14*5cm =31.4 cm[/tex]

Then one full rotation of the wheel is equal to

2) Not that we know the distance that the wheel does in one single rotation, the total number of rotations needed to do a distance of 50km is equal to the quotient between 50km and the distance that the wheel moves in one rotation.

But first we need to have both values in the same unit system.

Knowin that:

1km = 1000m

1km = 100*1000cm = 100,000 cm

Then 50km = 50*(100,000 cm) = 5,000,000 cm

Now we can solve the quotient:

[tex]\frac{5,000,000cm}{31.4cm} = 159,235.7[/tex]

This means that the wheel needs to do 159,235.7 rotations to move a distance of 50km.

If you want to learn more, you can read:

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Answer:

B. 9.35

Hope this helps...Have a good day!!

Answer:

it is 80⁰

Step-by-step explanation:

cuz the it vertical angle

and to find a just get

180-80-70

Equation representing the relation between the cost and the weight of the chicken has been given as,

Here, y = cost of the chicken

x = weight of the chicken

By substituting the values of different weights (x) in the given equation we can find the cost of the chicken (y).

For x = 1,

y = 7×1

y = 7

For x = 2,

y = 7×2

y = 14

For x = 3,

y = 7×3

y = 21

For x = 8,

y = 7×8

y = 56

       Therefore, the complete table will be,

Weight (lb),x      1            2             3              8

Cost ($),y          7           14            21            56

Learn more about the proportional relation,

https://brainly.com/question/11903729

Answer:

x < -3

Step-by-step explanation:

3x<-9

Divide each side by 3

3x/3 <-9/3

x < -3

Open circle at -3 line going to the left

Answer:

Step-by-step explanation:

3x < -9

Divide both sides by 3

x < - 3

x = {........-5, - 4 ,}

Answer:

Se determina mediante al auxilio del cálculo integral.

Supongamos una fuerza variable con el tiempo. Entonces el impulso es:

J = ∫F(t) dt, para t entre t y to

Si es variable con la posición o con la velocidad se deberá expresar la integral en términos de la posición o de la velocidad.

Step-by-step explanation:

Answer:

the answer is (10,35)

Step-by-step explanation:

i took the quiz and im 100% sure

ty have a great day :)