Miguel does 150 lunges and 120 pushups each week. Which statement is true about the ratio of lunges to pushups?
For every 5 lunges Miguel does, he does 4 pushups.
For every 4 lunges Miguel does, he does 5 pushups.
For every 15 lunges Miguel does, he does 4 pushups.
For every 12 lunges Miguel does, he does 5 pushups.

Answer:

Yes

Step-by-step explanation:

You can refer to the photo that I attached.

Answer:

x=20

Step-by-step explanation:

3x+80+2x=180(being linear pair)

5x=180-80

x=100/5

x=20

3x=3*x  =3*20  =60

2x=2*x  =2*20  =40

Answer:

1. Citrus fruits · 2. Red bell peppers · 3. Broccoli · 4. Garlic · 5. Ginger · 6. Spinach · 7. Yogurt · 8. Almonds.

Step-by-step explanation:

Answer:

Citrus fruits.

Red bell peppers.

Broccoli.

Garlic.

Ginger.

Spinach.

Yogurt.

Almonds.

Step-by-step explanation:

Answer:

13,666.7

Step-by-step explanation:

you have to divide 6 into 55,000 and get 9,166.7, so then you add 4,500 with 9,166.7 to get 13,666.7.

Answer:

x=1

Step-by-step explanation:

3-√x-2 =0

-√x=2-3

√x=1

x=1²=1

Answer:

16 > 11

Step-by-step explanation:

7 + (16 - 7) = 3 + 8

7 + 9 = 3 + 8

16 = 3 + 8

16 ≠ 11

or

16 > 11

Answer:

540

Step-by-step explanation:

fraction of those surveyed that gave the play at least four stars = 45 / 100 = 0.45

Estimate of people who would rate the play at least four stars = 0.45 x 1200 = 540

Answer:

26 meters

Step-by-step explanation: Ez. First add all the data you already have. You should end up with 19. Then, you want to find the length of the missing side. Well, we know it's 7 meters since its opposite is 7, and these lengths are in the same square. So 19+7 is 26 meters.

Answer:

[tex]26[/tex]

Step-by-step explanation:

perimeter= AB + BC + CE + DE + AD

AB= DE = 7

BC = 5

EC= 3

DE = 7

AD = 4

So, perimeter = 7+ 5+ 3+ 7+ 4

→ 12+ 10 +4

→ 24+ 4

→26

So, 26 is your answer

[tex]----------[/tex]

hope it helps..

have a great day!!

Answer

25(x2−4)

Rewrite 4

as 22.25(x2−22)

Answer:

x=1+√13 or x=1−√13

Step-by-step explanation:

Step 1: Subtract 39 from both sides.

5x2−10x−21−39=39−39

5x2−10x−60=0

For this equation: a=5, b=-10, c=-60

5x2+−10x+−60=0

Step 2: Use quadratic formula with a=5, b=-10, c=-60.

x=

−b±√b2−4ac

2a

x=

−(−10)±√(−10)2−4(5)(−60)

2(5)

x=

10±√1300

10

x=1+√13 or x=1−√13

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form by subtracting 39 from both sides.  We get:

5x^2 - 10x - 60 = 0

Reduce this by dividing all four terms by 5:

x^2 - 2x - 12 = 0

Use the quadratic equation to find the roots.  The coefficients of the x terms are 1, -2, -12. Thus the discriminant is b^2 - 4ac, or:

(-2)^2 - 4(1)(-12)  = -44   of which 4 is a perfect square factor and 11 is not.

Because the discriminant is negative, the given equation has two unequal, complex roots, which are:

      -(-10) ± i√4√11

x = -----------------------

                10

or x = 1 ± (1/5)√11

Answer:

82 minutes

102 minutes with breaks

Step-by-step explanation:

So there are 60 minutes in an hour. 3/5 of 60 is 36. 2/3 of 60 is 40. And 1/10 of 60 is 6. So adding all those numbers up 36+40+6=82 minutes.

Now if she spent 10 minute breaks in between her assignments then she did 36+10+40+10+6=102 minutes with breaks in between Math and Art also Art and French

Answer:

b= 4.6

Step-by-step explanation:

use the pythagorean theorem.

Answer:

4.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

Area of a parallelogram = base × height

The area of the parallelogram

= 2.7 × 1.2

= 3.24 m²

2.

Try to divide the figure into 2 rectangles and find their areas.

The area of the larger rectangle

= 6 × (20-6)

= 84 cm²

The area of the smaller rectangle

= 12 × 6

= 72 cm²

The total area of the figure

= 84 + 72

= 156 cm²

Answer:

C) 3.24m^2

C) 156 cm^2

Step-by-step explanation:

The area of a parallelogram is base * height.

The base is 2.7m, while the height is 1.2m.

2.7*1.2 = 3.24m^2.

We can envision the area of the figure to be a rectangle with another rectangle cut out of it.

The total rectangle's area is 20*12, which equals 240cm^2.

The smaller rectangle's width would be 12 - 6, which is 6. The length would be 20 - 6, which is 14. 6 * 14 = 84.

Now we just have to subtract 84. from 240, which is simple. 240-84=156.

The answer is 156cm^2.

Answer:

no x² + 5x + c is a perfect square

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

since the radius is 11 witch the radius is only half so times by 2 witch would be the diamater witch is 22 so the area would be A≈381

Step-by-step explanation:

A=14πd2=14 · π · 222 ≈ 381

i think thats it bc If the object is a circle, and you know its circumference, you would divide the circumference by pi to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.

Answer:

Step-by-step explanation:

Answer:

Simultaneous equations are ​equations involving two or more unknowns that are to have the same values in each equation.

Answer: 2,-6

Step-by-step explanation:

The vertex of the parabola defined by the equation x² - 4x + y + 10 = 0 is (2, -6).

To maintain the equality of the equation, we need to add and subtract 4 within the parentheses.

3. Rewrite the equation by adding and subtracting 4 within the parentheses: x² - 4x + 4 + y = -10 + 4.

Now, we can factor the perfect square trinomial (x - 2)² and simplify the right side of the equation.

4. Factor the perfect square trinomial: (x - 2)² + y = -6.

The equation is now in the form (x - h)² + k = y, where (h, k) represents the vertex of the parabola. Therefore, the vertex of the parabola is (2, -6).

To learn more about parabolas;

https://brainly.com/question/21685473

#SPJ4

The complete question:

Complete the square to find

the vertex of this parabola.

x² - 4x + y + 10 = 0

Answer:

Descuento= $240

Step-by-step explanation:

Dada la siguiente información:

Precio de venta (sin descuento)= $1.200

Descuento= 20%

Para calcular el descuento que le hicieron a Carlos, debemos utilizar la siguiente formula:

Descuento= precio de venta*porcentaje de descuento

Descuento= 1.200*0,2

Descuento= $240

Answer:

[tex]x = 152[/tex]

because these angles are infront of each other

Answer:

x = 152

Step-by-step explanation:

x and 152° are vertical angles and are congruent , then

x = 152

Answer:

9n + 2.

Step-by-step explanation:

This is arithmetic with common difference d = 9.

nth term = a1 + d(n - 1)     (a1 = 11) 11 + 9n - 9

= 11 + 9(n - 1)

= 9n + 2.

Answer:

1/4 or 5/20

Step-by-step explanation:

You find how many numbers are above 10. Then find the frequency and add them together, that will be your numerator. The total number of tries is 200, that is your denominator.

Answer

1/ 2^20 • z^15

step by step explanation

Answer:

x =±2 sqrt(6)

Step-by-step explanation:

x^2 = 24

Take the square root of each side

sqrt(x^2) = sqrt(24)

x = ±sqrt(4*6)

x =±sqrt(4) sqrt(6)

x =±2 sqrt(6)

Answer:

The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold. The designer will reject the shipment of gold and miss out on an honest business relationship with the supplier.

Step-by-step explanation:

Type I error is defined as the rejection of the true null hypothesis. It is also called as the 'false positive' conclusion or 'false positive' findings. The value of alpha or the significance level determines the probability of making the error type I.

In the context, it is given that for a gold piece to be of 18 karat , the piece of jewelry must be made of 75% of pure gold.

The null hypothesis is, H0: The proportion of metal that is gold is 75%

The alternative hypothesis is Ha: The proportion of metal that is gold is less than 75%.

Thus the type I error is when the gold shipment is made of 75% gold but the jewelry designer rejects the shipment thinking that the shipment is made of less than 75% gold.

Thus it shows the error of type I rejecting the null hypothesis.

Answer:

4.5

Step-by-step explanation:

∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.

Since they share the same proportions, the same operations can be performed on each base to find the area.

The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.

3*3 = 9

9/2 = 4.5

So the area is 4.5

the second one.

Step-by-step explanation:

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