solve for x if 2(5x + 2)^2 = 48

Answer:

15/8 quartz of grape juice

Step-by-step explanation:

Given that:

Standard Recipe requirement :

1 1/2 quartz of sparkling water requires 3/4 quatz of grape juice

Number of grape juice required for 15/4 of sparkling water ;

Let quartz of grape juice required = x

1 1/2 sparkling water = 3/4 grape juice

15 /4 sparkling water = x grape juice

3/2 = 3/4

15/4 = x

Cross multiply ;

3/2 x = 15/4 * 3/4

3/2x = 45/ 16

x = 45/16 ÷ 3/2

x = 45/16 * 2/3

x = 90/48 = 15/8

x = 15/8 quartz of grape juice

Answer:

B, 36

Because, a composite number has factors

The others are prime

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

[tex]4.99\times 10^{-10}\ m[/tex]

Step-by-step explanation:

Given that,

The diameter of a proton is 1.7 x 10⁻¹⁵ meters

The diameter of an atom is 5 x 10⁻¹⁰ meters.

We need to find the difference in the diameters.

[tex]D=5\cdot10^{-10}-1.7\cdot10^{-15}\\\\=4.99\times 10^{-10}\ m[/tex]

So, the difference in the diameter is [tex]4.99\times 10^{-10}\ m[/tex].

Answer:

B 4/3

Step-by-step explanation:

3^32^9/3^42^7

B 4/3

Answer:

Ren was 27.5 meters away from her family.

Step-by-step explanation:

Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.

But the angle of depression is measured with respect to the horizontal plane, so;

the vertical angle = [tex]90^{o}[/tex] - 20°

                             = [tex]70^{o}[/tex]

Applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]

⇒ x = 10 x Tan [tex]70^{o}[/tex]

      = 10 x 2.7475

      = 27.475

x = 27.5 meters

Ren was 27.5 meters away from her family.

Answer:

5

1

20

4

35

7

45

9

50

10

Step-by-step explanation: each table holds 5 people, multiply the number of tables by 5 or divide the number of people by 5 to see how many tables needed

Answer:

[tex]L=2l[/tex] where [tex]l,L[/tex] denote arc lengths of two circles

Step-by-step explanation:

Let [tex]l,L[/tex] denote arc lengths of two circles, [tex]r,R[/tex] denote corresponding radii and

[tex]\alpha _1\,,\alpha _2[/tex] denote the corresponding central angles.

So,

[tex]l=r\alpha _1[/tex] and [tex]L=R\alpha _2[/tex]

This implies [tex]\alpha _1=\frac{l}{r}[/tex] and [tex]\alpha _2=\frac{L}{R}[/tex]

As each circle has an arc where the measures of the corresponding central angles are the same, [tex]\alpha _1=\alpha _2[/tex]

[tex]\frac{l}{r}=\frac{L}{R}[/tex]

As radius of one circle is twice the radius of the other circle,

[tex]R=2r[/tex]

[tex]\frac{l}{r}=\frac{L}{2r}\\\frac{l}{1} =\frac{L}{2}\\L=2l[/tex]

Answer:

i think it is this:

tank a: 6 hours?

tank b: 7 hours?

Step-by-step explanation:

sorry if im wrong if you can please give me brainliest<3 have a good day

Answer: d n = 2p

Step-by-step explanation:

Answer:

[tex]Eric= \$22.86[/tex]

[tex]Shiloh = \$17.14[/tex]

Step-by-step explanation:

Represent Eric with E and Shiloh with S;

[tex]E:S = 4:3[/tex]

[tex]Total = \$40[/tex]

Required

Determine the how much money each have

We have to convert the ratio to fraction;

For Eric, we have

[tex]Eric= \frac{E}{E + S} * Total[/tex]

[tex]Eric= \frac{4}{4 + 3} * \$40[/tex]

[tex]Eric= \frac{4}{7} * \$40[/tex]

[tex]Eric= \frac{\$160}{7}[/tex]

[tex]Eric= \$22.86[/tex]

[tex]Shiloh = Total - Eric[/tex]

[tex]Shiloh = \$40 - \$22.86[/tex]

[tex]Shiloh = \$17.14[/tex]

Answer:

15/32

Step-by-step explanation:

First convert 1 1/3 to improper fraction:

  1 1/3 = 4/3

5/8 divided by 4/3 is same as...

  [tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]

Answer:

11.906

23.806

Step-by-step explanation:

here you go also can you check my account for some lyrics i posted :)

Answer:

the answer should be -216

Answer:

150 to 170 successful free throws

Step-by-step explanation:

Total % of free throws made = 80%±5%

If attempted number of free throws = 200

Range of successful free throws to expect :

(80% - 5%) of 200 TO (80% + 5%) of 200

75% of 200 TO 85% of 200

(0.75 * 200) TO (0.85 * 200)

150 TO 170

150 - 170 successful free throws

Answer:

D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.

The statement that  best describes Max's elevation, given this equation is

D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.

Given that,

Learn more about the height here: https://brainly.com/question/5281804

Answer:

x is greater than or equal to 3. x > 3

Step-by-step explanation:

Answer:

2.a. The price of 2.75 kg of pears is $4.62

2.b. The price of 0.19 kg of Pears is $ 0.3192

Step-by-step explanation:

The given parameters are;

The price of each kilogram of Pears = $1.68

Therefore, we have;

The price of a given mass of Pears = The mass in Kg of the Pears × The price per kg of Pears

2.a. The price of 2.75 kg of pears = The mass × The price per Kg = $1.68/kg × 2.75 kg = $4.62

The price of 2.75 kg of pears = $4.62

2.b. The price of 0.19 kg of Pears = The mass × The price per Kg = $1.68/kg × 0.19 kg = $ 0.3192

Answer:

(2, -4) would be point b.

Step-by-step explanation:

This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis

Answer:

it would be (2,-4)

Step-by-step explanation:

correct me if I'm wrong

Stay Safe

Stay Strong

Stay Awesome

Answer:

16

Step-by-step explanation:

Answer:

En la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas un peso.

Step-by-step explanation:

De acuerdo a la información, puedes escribir las siguientes ecuaciones:

x+y+z=802 (1)

5x+10y+z=1782 (2)

x=10y (3)

Primero debes reemplazar (3) en (1) y (2):

10y+y+z=802

11y+z=802 (4)

5(10y)+10y+z=1782

50y+10y+z=1782

60y+z=1782 (5)

Ahora, tienes dos ecuaciones:

11y+z=802 (4)

60y+z=1782 (5)

Puedes despejar z en (4):

z=802-11y (6)

Después, puedes reemplazar (6) en (5):

60y+802-11y=1782

49y=1782-802

y=980/49

y=20

Puedes reemplazar el valor de y en (3) para encontrar x:

x=10y

x=10(20)

x=200

Puedes reemplazar el valor de y en (6) para encontrar z:

z=802-11(20)

z=802-220

z=582

De acuerdo a esto, en la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas de un peso.

Answer:

3

Step-by-step explanation:

(4p-m)/4

m=-4 and p=2

Since you know what m and p represent, it shouldn't be hard to solve.

(4 [2] - [-4] )/4   The 4 would be positive since there are two negatives.

(8 + 4)/4 Do the work inside the parenthesis first...

(12)/4 now divide.

Answer:

I hope this helps

Step-by-step explanation:

plz mark brainliest

Answer:

A, because the difference between 2.5 and 3 3/4 is 1. Thanks!

Answer:

50%

Step-by-step explanation:

hope this helped

Answer:

c=-5

Step-by-step explanation:

Answer:

c = -5

Step-by-step explanation:

This is the answer because:

1) We first have to isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps!

Answer:

83 photos each

2 photos left over

Answer:

Each Family gets 83 photos each and 2 photos are left over

Step-by-step explanation:

Answer:

t>2.034s and t>0.154s

Step-by-step explanation:

Given the quadratic function h(t)=-16t^2+35t+5 which represents the height of the balloon, h, in feet t seconds after it is thrown.

To determine when the balloon is more than 10feet above the ground, we will substitute h = 10 into the expression to have;

h(t)=-16t^2+35t+5

-16t^2+35t+5>10

-16t^2+35t+5-10>0

16t^2-35t+5>0

Find t;

t > 35±√35²-4(16)(5)/2(16)

t>35±√1225-320/32

t>35±√905/32

t>35±30.08/32

t > 35+30.08/32 and t > 35-30.08/32

t>65.08/32 and t>4.92/32

t>2.034s and t>0.154s

Hence the balloon is more than 10feet above the ground at when t>2.034s and t>0.154s

Answer:

Arranging from longest (at top) to shortest (at bottom)

DF

EF

DE

Step-by-step explanation:

We need to place the sides of triangle DE, DF and EF from longest to shortest.

The triangle has longest side that is opposite to the largest angle

We know two angles < E= 61° , <F= 59° we need to find <D

Sum of angles of triangle = 180°

So, 61°+59°+<D=180°

120°+<D=180°

<D=180°-120°

<D=60°

So, the largest angle is <E= 61°

The longest side must be opposite to <E so, the side is DF

The second largest angle is <D=60° so, second side will be EF

The smallest angle is <F=59° so, third (shortest) side will be DE

Arranging from longest (at top) to shortest (at bottom)

DF

EF

DE

Answer:

E -5

Step-by-step explanation: