Expand -2a(5b-3) Dayo and bunmi share a certain amount in the ratio 2:3 respectively. If dayo share is #120, find the amount

Answer:

165 Calories

Step-by-step explanation:

A gram of carbohydrate contains 4 calories. A gram of protein also contains 4 calories. A gram of fat, though, contains 9 calories

5x9=45 10x4=40 20x4=80 45+40+80= 165

Answer:

Exact form

5/8

Decimal form

0.625

Step-by-step explanation:

Answer:

-5/8 or -0.625

Step-by-step explanation:

divide both sides by 8

[tex]\frac{8(x+6)}{8} =\frac{43}{8}[/tex]

Simplify

[tex]x+6 = \frac{43}{8}[/tex]

Subtract 6 from both sides

[tex]x+6 - 6 = \frac{43}{8} -6[/tex]

Convert the fraction to decimal and simplify

[tex]5.375 - 6 = -0.625[/tex]

Simplified:

[tex]-\frac{5}{8}[/tex]

Hope this helps

~R3V0

Answer:

Step-by-step explanation:

"All terms are even because even + even = even" is correct.  All of the given terms are even and the "common difference," 18, is also even.

Answer:

5,280,000

Step-by-step explanation:

He uses 200 ft to cover up 1 pound. To find how much he uses for 26,400. You'll multiply 200 times 26400

Answer:

0.055x = 1.54

x = 1.54 / 0.055

x = $28

Step-by-step explanation:

Let x = the original price of the board game before tax.

We know that the tax cost $1.54 and was 5.5% of the original price.

5.5% in decimal form = 0.055

5.5% of the original price = 0.055x

5.5% of the original price = tax = $1.54

Answer:

c

Step-by-step explanation:

Michele has 4 times the number of trading cards that Lorenzo has

Answer:

6

Step-by-step explanation:

if you divide the square into 2 pieces, then use pythagoream theroem you will get 6

Answer:

x=-2

y=5

Step-by-step explanation:

x+2y=8   equation-1  

-x+3y=17 equation-2

5y=25

Both side divided 5,

y=5

Equation-1, y=5

x+2(5)=8

x+10=8

Both side -10

x+10-10=8-10

x=-2

Equation-2, y=5

-x+3(5)=17

-x+15=17

Both side -15

-x+15-15=17-15

-x=2

x=-2

Answer:

696 hours

Step-by-step explanation:

Answer:

9/25

Step-by-step explanation:

Our box contains 10 socks. (6, which are black and 4 which are red)

Probability of picking 1 black sock will be 6/10

Number of ways it can occur / Total number of outcomes.

In this question we pick two socks, one black firstly and another black, in the second turn. When we say AND, it means intersection

P (B₁ ∩ B₂) = 6/10 . 6/10

When the events are independent, the probability of the intersection will be the product of the probabilities,

P (B₁ ∩ B₂) = 36/100 = 9/25

Answer:

length:5

width:2

Hight:2

value:20

Step-by-step explanation:

The volume is 29 because length×width×hight=value so 5×2×2=20

Answer:

The volume is 4, 000 feet

Step-by-step explanation:

Volume equals length x width x height

40 x 20 x 5

4,000

Answer: The correct answer is 4,000 feet cubed

Step-by-step explanation:

Answer:

x = .2

Step-by-step explanation:

3x2 + x - 2 = 0

3x2 + x - 2 + 2 = 0 + 2

3x2 + x = 2

9x + x = 2

10x = 2

10x/10 = 2/10

x = .2

Answer: 2  :  1

Step-by-step explanation:

The batter calls for 2 cups of flour and 1 cup of milk.

That means that for every 2 cups of flour, the muffin batter would need 1 cup of milk.

Ratio of flour to milk will therefore be:

= Amount of flour needed : Amount of milk needed

= 2 cups of flour :  1 cup of milk

= 2  :  1

Answer:

Step-by-step explanation:

C is correct.  Comparing the given g(x) = (x - 2)^2 + 1 to

                                                             y  =  (x - h)^2 + k     (h, k) is the vertex

we see that h = 2 and k = 1.  This is the location of the vertex in equation C.

Answer:

I would help but the picture that's on this question isn't letting me see it so I'll just make a joke....... sorry

if you need help with #2 then you should probably go to a doctor

Answer:

96

Step-by-step explanation:

A=6a²=6·4²=96ft²

Answer:

All real numbers (the last option)

Step-by-step explanation:

The line on the graph has arrows, which means that it's going to keep going both ways forever. So the answer is all real numbers.

Answer:

b

Step-by-step explanation:

Answer:

Arc length is equal to [tex]\theta r[/tex] where [tex]\theta[/tex] is the angle in radians and [tex]r[/tex] is the radius.

Question 1:

[tex]\frac{\pi}{2}=\frac{\pi}{6}\times3[/tex]

So the angle is CFD.

Question 2:

[tex]\pi=\frac{\pi}{3}\times3[/tex]

So the angle is AFE.

Question 3:

[tex]2\pi=\frac{2\pi}{3}\times3[/tex]

So the angle is AFB.

Question 4:

[tex]\frac{3\pi}{4}=\frac{\pi}{4}\times3[/tex]

So the angle is BFC.

Step-by-step explanation:

it will cost $33.60 to fill a tank holding 16 gallons.

Answer:

$33.60

Step-by-step explanation:

Unit rate per gallon is $2.10 (find this by dividing the cost by the number of gallons)

Multiply this number by 16

2.10*16 = $33.60

Answer:

150 cm^3

Step-by-step explanation:

Volume of a prism = area of base × height

=( 5×6) × 5 cm^3

= 150cm^3

( lemme know if it's right . If the base is a paralellogram, then it'll be different )

Answer:

65/16 exact form, 4.0625 in decimal form, and 4 1/16 in mixed number form.

Answer:

[tex]x^{2} +y^{2}=25[/tex]

Step-by-step explanation

The standard equation of a circle centered at origin is  [tex]x^{2} +y^{2} =r^{2}[/tex]

r = radius of the circle

The circle is passing through the point (0,5)

∴ radius  [tex]r=\sqrt{(0-0)^{2}+(5-0)^{2} }[/tex]

               [tex]r=\sqrt{0+25}[/tex]

               [tex]r=\sqrt{25}[/tex]

               [tex]r^{2}=25[/tex]

∴ The equation of the circle is

     [tex]x^{2} +y^{2} = 25[/tex]

Answer and Step-by-step explanation:

1.

First, move all the points of the triangle to the right by 4 units. After, move all the points of the triangle down by 4 units.

2. For all of the x-values, make them negative since we are going across the y-axis. The Y-values will be the same.

#teamtrees #PAW (Plant And Water)

Answer:

The remaining side and angles are [tex]a = 20\sqrt{3}[/tex], [tex]\angle A = 60^{\circ}[/tex] and [tex]\angle B = 30^{\circ}[/tex].

Step-by-step explanation:

According to the information given on statement, we are in front of a right triangle because [tex]\angle C[/tex], opossite to side [tex]c[/tex], is a right angle. Hence, [tex]c[/tex] is the hypotenuse of the right triangle and [tex]b[/tex], a leg. The missing length can be calculated by the Pythagorean Theorem:

[tex]a = \sqrt{c^{2}-b^{2}}[/tex] (1)

If we know that [tex]c = 40[/tex] and [tex]b = 20[/tex], then the length of the missing leg is:

[tex]a = \sqrt{c^{2}-b^{2}}[/tex]

[tex]a = 20\sqrt{3}[/tex]

Lastly, we find the value of the missing angles by means of direct and inverse trigonometric relations:

Angle A

[tex]\angle A = \tan^{-1}\left(\frac{a}{b} \right)[/tex] (2)

Angle B

[tex]\angle B = \tan^{-1} \left(\frac{b}{a} \right)[/tex] (3)

If we know that [tex]a = 20\sqrt{3}[/tex] and [tex]b = 20[/tex], then the values of the missing angles are, respectively:

Angle A

[tex]\angle A = \tan^{-1}\left(\frac{a}{b} \right)[/tex]

[tex]\angle A = 60^{\circ}[/tex]

Angle B

[tex]\angle B = \tan^{-1} \left(\frac{b}{a} \right)[/tex]

[tex]\angle B = 30^{\circ}[/tex]

The remaining side and angles are [tex]a = 20\sqrt{3}[/tex], [tex]\angle A = 60^{\circ}[/tex] and [tex]\angle B = 30^{\circ}[/tex].