A biscuit recipe calls for the dough to be rolled out and circles to be cut from the dough. The biscuit cutter has a radius of 4cm. Find the area of the top of the biscuit once it is cut. Round to the nearest whole unit.

Answer:

0.59 cents

Step-by-step explanation:

To find how much he paid for 1 pound, you divide $19.20 by 2 = $9.60

Then you divide $9.60 by 16(ounces) = $0.59 cents (or $.0.60, rounded, but is closest to that answer)

The price Jason pay for 1 ounce is $9.60.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

price for 2 pounds of pecans = $19.20

So, the price for 1 pounds of pecans = 19.20 / 2

                                                             = 9.60

Hence, Jason have to pay $9.60 for 1 pounds.

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Answer:

x-intercept is at (9, 0)

y-intercept is at  (0, 6).

Step-by-step explanation:

The x intercept occurs when y = 0:

2x + 3*0 = 18

2x = 18

x = 9,

y-intercept, when x = 0:

2(0) + 3y = 18

y = 6.

[tex]_____________________________________[/tex]

[tex]_____________________________________[/tex]

Answer:

7.8km, so if it was rounding, your answer would be 8

Step-by-step explanation:

Answer:

Its the third one

Step-by-step explanation:

i did the test

The volume of the rectangular prism can be found using the 6x6x7 option (A) 6x6x7 is correct.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

It is given that:

A rectangular prism is given in the picture with dimensions:

As we know, volume can be defined as a three-dimensional space enclosed by an object or thing.

The volume of the rectangular prism is given by:

V = L×W×H

Here, V is the volume of the rectangular prism

L is the length of the rectangular prism

W is the width of the rectangular prism

H is the height of the rectangular prism

From the figure:

L = 6 cm

W = 7 cm

H = 6 cm

V = 6x7x6

or

V = 6x6x7

Thus, the volume of the rectangular prism can be found using the 6x6x7 option (A) 6x6x7 is correct.

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No 4 is not a factor of 93 :)

let me know if this helped<3

Explanation: a factor is whether or not a number can be multiplied with another number, 4 cannot be multiplied by any number to evenly come out as 93, the way you can check this is by dividing 93 by 4, if it comes out as a whole number with no decimal or remainder than the number is a factor if it has a decimal or remainder it is not a factor

Answer:

No.

Step-by-step explanation:

The first method entails simply listing all factors of 93 and then seeing if 4 is one of them. The factors of 93 are 1, 3, 31, and 93. Looking at the list, you see that 4 is not on the list, and the answer to "is 4 a factor of 93?" is therefore no. For the second and perhaps easier method, we divide 93 by 4 to see if the quotient is a whole number or fractional number. If the quotient is a whole number, then 4 is a factor of 93. If the quotient is a fractional number, then 4 is not a factor of 93. 93 divided by 4 is 23.25 which is a fractional number. Thus, once again, the answer to "Is 4 a factor of 93?" is no.

Answer:

About 1.23 standard deviation above the mean

Step-by-step explanation:

From what we have here, we need to calculate the difference between the given value and the mean and divide by the standard deviation

That would be through calculating the z score as follows;

z-score = (x - mean)/SD

where x is the given value

z-score = (87-71)/13 = 1.23

Since the score is bigger than the mean, the correct choice here is that the score is about 1.23 standard deviation above the mean

Answer:

[tex] \sqrt{3} \div 2[/tex]

Step-by-step explanation:

there are multiple ways to get to the result. and it took me a little while to figure out your symbolic. I am not sure about the context of your problem, so I try to give you 2 ways.

1. similar triangles.

they have the same angles, and therefore the change factor for their side lengths (to change from one similar triangle to the other) must be the same for all sides.

tan of an angle is the length of the outside tangent touching the circle starting at x=1,y=0 and going up perpendicular all the way until it crosses the line from the center of the circle enclosing the angle.

so, we have one triangle of the corners ABC, where A=(0,0), B=(1,0), C=(1,tan of the angle = sqrt(3)).

and we have a similar triangle ADE, where A=(0,0), D=(cos of the angle=1/2,0), E=(1/2,m).

we know because of the described similarity that the sides BC and DE must have the same ratio as e.g. AB and AD.

AB=1, AD=1/2, so the ratio AD/AB = 1/2.

now, BC=sqrt(3). DE=m and must follow the same ratio as AD/AB. DE/BC=1/2.

=> m/sqrt(3)=1/2 => m=sqrt(3)/2

2. circle equation : x^2 + y^2=r^2

x=1/2, y=m, r=1

(1/2)^2 + m^2 = 1^2 (= 1)

1/4 + m^2 = 1

m^2 = 3/4

m = sqrt(3)/sqrt(4) = sqrt(3)/2

Answer:

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Step-by-step explanation:

Answer:

A. 60

hope this helps

have a good day :)

Step-by-step explanation:

Answer: The answer is 60

Step-by-step explanation:

32 + 41 + 43 + 50 + 70 + 73 + 80 + 88 = 477

then divide 477 by the amount of numbers there which is 8

477 divided by 8 = 59.625

59.6 to the highest tens is 60

because 6 is highter then 5    

Answer:

$92.60

Step-by-step explanation:

7($5.99) + 7($6.49)=$41.93

$41.93 + $45.43  = $87.36

$87.36 + ($87.36 × 6%=0.06)

$87.36 + (0.06 × $87.36=5.24)

$87.36 + $5.24= $92.60

Answer:

48 cans you multiply 8×6

Answer:

Option (1)

Step-by-step explanation:

By using triangle sum theorem in the given triangle,

(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°

(5x + 11x + 3x) - (7 + 4 - 1) = 180

19x - 10 = 180

19x = 190

x = 10

Therefore, (3x + 1)° = 30 + 1

                                = 30°

(11x - 4)° = 110 - 4

              = 106°

(5x - 7)° = 43°

Therefore, Option (1) will be the correct option.

Answer:

the shape would be a triangle

Step-by-step explanation:

any horizontal slice would create a triangle

Step-by-step explanation:

Divide 180 by 3 = 60

Divide 150 by 2 = 75

The faster vehicle is truck and its speed is 75 mph

9514 1404 393

Answer:

  logk(15) ≈ 0.902

  k ≈ 57.6  or  12.8  or  20.1  depending on how you calculate it

Step-by-step explanation:

The relevant rule of logarithms is ...

  [tex]\log_k(ab)=\log_k(a)+\log_k(b)[/tex]

__

Using this rule, we have ...

  [tex]\log_k(15)=\log_k(3\cdot5)=\log_k(3)+\log_k(5)\\\\\log_k(15)=0.271+0.631\\\\ \boxed{\log_k(15)=0.902}[/tex]

_____

You will get different (inconsistent) results when you solve for k.

The applicable rule of logarithms is ...

  [tex]\log_k(a)=\dfrac{\log(a)}{\log(k)}[/tex]

Then we can find log(k) and take the antilog to get ...

  [tex]\log(k)=\dfrac{\log(a)}{\log_k(a)}\\\\k=(10^{\log(3)})^{1/\log_k(3)}=3^{1/0.271}\approx57.6\qquad\text{for $a=3$}\\\\ k=(10^{\log(5)})^{1/\log_k(5)}=5^{1/0.631}\approx12.8\qquad\text{for $a=5$}\\\\ k=(10^{\log(15)})^{1/\log_k(15)}=15^{1/0.902}\approx20.1\qquad\text{for $a=15$}[/tex]

Here, we have used base-10 logarithms, but the same result is obtained for any base. The different results simply serve to show that the numbers in the problem are not self-consistent.

Answer:

3rd option

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 1, - 25 ) , then

f(x) = (x - (- 1) )² - 25 , that is

     = (x + 1)² - 25 ← expand using FOIL

     = x² + 2x + 1 - 25

     = x² + 2x - 24

Answer:

(B). 8 units

Step-by-step explanation:

Answer:

we have:

10*(9x-1+10)=9(9+11)

10(9x+9)=9*20

9(x+1)=9*20/10

x+1=18/9

x+1=2

x=2-1

x=1

Now

RS:9×1-1=8

Step-by-step explanation:

a1 = 27

r = -9/27 = -⅓

the formula :

an = a1. r^(n-1)

= 27. (-⅓)^(n-1)

= 3³(-3`¹)^(n-1)

= 3³(-3)^(1-n)

Answer: A

Step-by-step explanation:

Answer:

Step One: He puts the .81 In the wrong place

Step Two: He put the decimal in the wrong place

Step Three: He add incorrectly

Answer:

160 minutes

Step-by-step explanation:

Find out how many minutes are in a hour. 60 min in one hour. 60 x 2 = 120

120 + 40 = 160

The function must have a negative rate of change at the point where t < 3

Given the equation expressed as;

For the function to have a negative rate of change then;

[tex]\frac{dh}{dt} < 0[/tex]

Differentiate the function:

[tex]2(t - 3) < 0\\2t-6 < 0\\t < 3[/tex]

Hence the function must have a negative rate of change at the point where t < 3

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Answer:

585

Step-by-step explanation:

Answer:

-16x + 14 4/5

Step-by-step explanation:

Perform the indicated multiplication.  We get:

2x + 14 - 18x + 4/5

Next, combine like terms:  We get:

-16x + 14 4/5

Answer:

Height between ground and truck = 5.5 feet

Step-by-step explanation:

Given:

Angle of elevation = 30°

Length of the ramp = 11 feet

Find:

Height between ground and truck

Computation:

Length of the ramp = Hypotenuse

Height between ground and truck = Perpendicular

Sin θ = Perpendicular / Hypotenuse

Sin 30 = Height between ground and truck  / Length of the ramp

0.5 = Height between ground and truck  / 11

Height between ground and truck = 0.5 x 11

Height between ground and truck = 5.5 feet

[tex]\sf\implies{x^{2}=7^{2}+7^{2}~~~~~~~~(Pythagoras~theorem)}[/tex]

[tex]\sf\implies{x^{2}=49+49}[/tex]

[tex]\sf\implies{x^{2}=98}[/tex]

[tex]\sf\implies{x={\sqrt{98}}}[/tex]

[tex]\sf\implies{x={\sqrt{49×2}}}[/tex]

[tex]\sf\implies{x={\underline{\boxed{\sf{\pmb{7{\sqrt{2}}}}}}}}[/tex]

using Pythagorean theorem

a²+b²=c² where 'a'&'b' are legs of the right angle triangle and 'c' is the hypotenuse of the right angle triangle

here two legs are given (7,7) and x is the hypotenuse

=>a²+b²=c²

=>7²+7²=x²

=>x²=49+49

=>x²=98

=>√x²=√98

=>x=7√2

I hope it helps have a great day

Answer:

C. 9

Step-by-step explanation:

3n - 18 = 9

3n (- 18 + 18) = 9 + 18

3n = 27

3n/3 = 27/3

n = 9