Can someone explain by steps on how to do this

Answer:

2 batches

Step-by-step explanation:

We can divide 7 1/2 by 3 3/4 to get 2, so the factory made 2 batches of granola bars yesterday.

Answer:

[tex]\boxed{\sf a = 9 }[/tex]

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

[tex]\sf\longrightarrow 3x - 2y +7=0 [/tex]

[tex]\sf\longrightarrow 6x +ay -18 = 0 [/tex]

Step 1 : Convert the equations in slope intercept form of the line .

[tex]\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}[/tex]

and ,

[tex]\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a} [/tex]

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

[tex]\sf\longrightarrow Slope_1 = \dfrac{3}{2} [/tex]

And the slope of the second line is ,

[tex]\sf\longrightarrow Slope_2 =\dfrac{-6}{a} [/tex]

Step 3: Multiply the slopes :-

[tex]\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1 [/tex]

Multiply ,

[tex]\sf\longrightarrow \dfrac{-9}{a}= -1[/tex]

Multiply both sides by a ,

[tex]\sf\longrightarrow (-1)a = -9 [/tex]

Divide both sides by -1 ,

[tex]\sf\longrightarrow \boxed{\blue{\sf a = 9 }} [/tex]

Hence the value of a is 9 .

Answer:

20 miles

Step-by-step explanation:

10miles × 2 = 20miles

9ˣ × 16ˣ = (9 × 16)ˣ = 144ˣ = 12

Since 12² = 144, it follows that x = 1/2.

That is,

144ˣ = 12

(12²)ˣ = 12

12²ˣ = 12

log₁₂(12²ˣ) = log₁₂(12)

2x log₁₂(12) = log₁₂(12)

2x = 1

x = 1/2

Answer:

f(- 3) = 27 and g(6) = - 15

Step-by-step explanation:

Substitute x = - 3 into f(x) and x = 6 into g(x) , that is

f(- 3) = - 2(- 3)² - 3(- 3) = - 2(9) + 9 = 18 + 9 = 27

g(6) = - 2(6) - 3 = - 12 - 3 = - 15

Answer:

Origin = (0, 0)

Gradient or slope:

[tex]{ \tt{slope = \frac{(0 - 3)}{(0 - ( - 2))} }} \\ { \tt{slope = - \frac{3}{2} }}[/tex]

General equation of line:

[tex]{ \bf{y = mx + c}}[/tex]

Consider the origin:

[tex]{ \tt{0 = ( - \frac{3}{2} \times 0) + c }} \\ c = 0[/tex]

Equation of line:

[tex]{ \tt{y = - \frac{3}{2}x }} \\ { \tt{2y = - 3x}}[/tex]

Answer:

-2y+3x=0

Step-by-step explanation:

Slop=(3-0)/(-2-0)=-3/2

(Y-Y1) =m(x-x1)

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

-2y+3x=0

Answer:

[tex]g(x) = -(10)^x[/tex]

Step-by-step explanation:

For a general function f(x), a reflection across the x-axis is written as:

g(x) = -f(x)

So, if here the function is:

[tex]f(x) = 10^x[/tex]

The reflection across the x-axis is:

[tex]g(x) = -f(x) = -(10)^x[/tex]

The correct option is the first one, counting from the top.

Answer:

Here is your answer

Hope it helps....

Answer:

Step-by-step explanation:

A=4πr2=4·π·1002≈1.25664×105

Answer:

Rob has saved $24.

Step-by-step explanation:

The first thing I noticed was that Rob only saved some of the money he earned. That means only x% only gets saved. To find x, I simply divided 6 by 14 and got 0.42857142857. Then to find the amount he saved from earning $56, I multiplied that number with 56 and got 24.

Answer:

29 ft

Step-by-step explanation:

the screens have 90 degree angles so they form right triangles with the diagonal, so use Pythagorean theorem to solve for the diagonal

diagonal² = 21² +20² , square and square root both sides of the equation

diagonal = √441+400, add

diagonal = √841, square root

diagonal = 29ft

Answer:

-6

Step-by-step explanation:

The number line is created by skip counting of 2.

So, -2 ,  then -4 and then -6.

So,  blue dotted point is (-6)

Answer:

c. .01

Step-by-step explanation:

.6389 divided by 63.89

Answer:

guy this one is very hard oh I don't know it

Answer:

by SAS only

Step-by-step explanation:

based on the diagram we only have one side and one angle explicitly identified as equivalent.

but we have an implicit confirmation of the second side QS to the enclosed angle, because the triangles are presented that this side is the same for both triangles.

so, SAS applies (but no other, as we don't have any information on the 3rd side).

Answer:

c) x= 15

d) x= 5

Step-by-step explanation:

c)4x + 5+ 7x +10=180

solve it like usually

for d) 3x + 15+12x=90

Answer:

15 and 3

Step-by-step explanation:

the first figure total sum of angles is 180 since it is a straight line

the second figure is a right ane(90) so sum of angles is 90

Answer:

option D. Car A has the same speed as car B.

Answer:

x-⅓y=0

Step-by-step explanation:

thats the answer

brainly please

Answer: 3x-y=0

Step-by-step explanation:

X = 1/3y

X × 3 = 1/3 y × 3

3x = y

3x - y = y- y

3x- y = 0

Answer:

Translate circle O 2 units to the left and 6 units down. Then dilated circle o by a scale factor of 4/5.

Step-by-step explanation:

Objective: Using transformations that are similar and congruent.

Answer:

B

Step-by-step explanation:

We are given a cylinder with a height of (2x + 7) and a radius of (x - 3).

And we want to find the expression for the volume of the cylinder.

Recall that the volume of a cylinder is given by:

[tex]\displaystyle V = \pi r^2 h[/tex]

Where r is the radius and h is the height.

Substitute:

[tex]\displaystyle V = \pi(x-3)^2(2x+7)[/tex]

Expand. We can use the perfect square trinomial pattern:

[tex]\displaystyle V = \pi \left[\underbrace{(x^2-6x+9)}_{(a-b)^2=a^2-2ab+b^2}(2x+7)\right][/tex]

Distribute:

[tex]V=\pi \left[ 2x(x^2-6x+9)+7(x^2-6x+9)\right][/tex]

Distribute:

[tex]V = \pi \left[(2x^3-12x^2+18x)+(7x^2-42x+63)\right][/tex]

Rewrite:

[tex]V = \pi\left[(2x^3)+(-12x^2+7x^2)+(18x-42x)+(63)\right][/tex]

Combine like terms:

[tex]V = \pi (2x^3-5x^2-24x+63)[/tex]

Distribute:

[tex]V = 2\pi x^3-5\pi x^2 -24\pi x+63\pi[/tex]

Hence, our answer is B.

Answer:

50 miles

Step-by-step explanation:

There are 5 hours in between 10 AM and 3 PM.

Find how many miles she can go by multiplying 5 by 10, since she rides at 10 miles per hour:

5(10)

= 50

So, Natasha will ride 50 miles

Step-by-step explanation:

the answer is in the image above

I hope it helps

Answer:

V ≈ 4021 mm³

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cylinder Formula: V = πr²h

Step-by-step explanation:

Step 1: Define

Identify variables

r = 8 mm

h = 20 mm

Step 2: Find Volume

Answer:

r=8

Step-by-step explanation:

Answer:

B.72°

Answer:

A.2x+6

B.60x-20

C.8x+4

D.6x-24y

Answer:

x = -14

Step-by-step explanation:

x/2 = -7

~Multiply 2 to both sides

x = -14

Best of Luck!

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Explanation:

We have these four cases or possible outcomes

Let's calculate the probability for case 4.

There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.

The probability of getting 3 black marbles in a row is

(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.

That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).

Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".

So that's why the answer is 17/24.

Answer:

15

Step-by-step explanation:

[tex]=\frac{6!}{4!\left(6-4\right)!}[/tex]

Answer:

Maybe you can add roles, like managing, or narrating?

Step-by-step explanation: