5) A mathematical term that does not include an equal or inequality sign is called an _ _ _ _ _ _ _ _ _ _.

Answer:

48

Step-by-step explanation:

36 = 3/4x

Divide by three then multiply by four to get x instead of 3/4x

36/3 = 12 x 4 = 48

Answer:

$48

Step-by-step explanation:

She has saved 36 which is 3/4

3/4=36/x

36/3=12

12*4=48

Answer:

Allen- 144 cards

Jane- 288 cards

Bob- 36 cards

Step-by-step explanation:

Here's what we know:

a = 4b (Allen has 4 times Bob's cards)

j = 2a (Jane has twice Allen's)

a + j = 432 (Allen and Jane have 432 cards all together)

Start with substituting:

4b + 2a = 432

4b + 2(4b) = 432

Distribute:

4b + 8b = 432

Simplify:

12b = 432

Divide both sides by 12:

b = 36

To find how much Allen has just multiply 36 times 4.

a= 144 cards

To find how much Jane has multiply 144 times 2.

j= 288 cards

Answer:

156

312 and

39

Step-by-step explanation:

Let Allen be A , Jane be J and Bob be B

Allen has 4 times as Bob

So

A = 4B

Jane has twice as Allen

So

J = 2A

Together, Allen and Jane has 468 cards

A + J = 468

Substitute 2A for J in the third equation.

We have

A + J = 468

A + 2A = 468

3A = 468

Divide both sides by 3

3A/3 = 468/3

A = 156

Recall

A = 4B

Therefore

156 = 4B

Divide both sides by 4

156/4 = 4B/4

39 = B

B = 39

Also,

J = 2A

J =2 x 156

J = 312

Allen has 156 cards

Jane has 312 cards and

Bob has 39 cards

To write the equation 3x + 2y = 4 in slope-intercept form, subtract 3x from both sides, then divide each term by 2. The slope-intercept form of the equation is y = (-3/2)x + 2.

To write the equation 3x + 2y = 4 in slope-intercept form, we need to isolate y on one side of the equation.

Step 1: Subtract 3x from both sides to get 2y = -3x + 4.

Step 2: Divide each term by 2 to get y = (-3/2)x + 2.

Therefore, the equation 3x + 2y = 4 in slope-intercept form is y = (-3/2)x + 2.

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Answer:

Step-by-step explanation:

The diameter of the cone is 4√3 cm, which is approximately 6.93 cm when rounded to two decimal places.

To find the diameter of the cone, we first need to identify the formula for the volume of a cone, which is V = (1/3)πr^2h. Given that the volume (V) of the ice cream cone is 12π cubic cm and the height (h) is 9 cm, we can set up the equation to solve for the radius (r):

12π = (1/3)πr^2(9)

We can simplify this equation by dividing both sides by π and multiplying both sides by 3/9 (which is the reciprocal of 1/3 times 9):

12 = r^2

Therefore, r = √12 cm. To find the diameter, which is twice the radius, we calculate:

Diameter = 2r = 2(√12) cm = 2(√4√3) cm = 4√3 cm

The diameter of the cone is 4√3 cm or approximately 6.93 cm when rounded to two decimal places.

The reciprocal of the given decimal number -0.07 is decimal number -14.3.

The given decimal number is -0.07.

The reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be [tex]\frac{1}{a}[/tex]. If the given number is multiplied by its reciprocal, we get the value 1.

The given decimal written in fraction as [tex]-\frac{7}{100}[/tex].

Reciprocal of [tex]-\frac{7}{100}[/tex] is [tex]-\frac{100}{7}[/tex]

[tex]-\frac{100}{7}=-14.285[/tex]

[tex]\approx-14.3[/tex]

Therefore, the reciprocal of the given decimal number -0.07 is decimal number -14.3.

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Final answer:

The reciprocal of -0.07, when rounded to one decimal place, is -14.3.

Explanation:

To calculate the reciprocal of any number, you simply divide 1 by that number.

The reciprocal of a number is the multiplicative inverse of that number.

In this case, for the number -0.07:

The reciprocal of -0.07 is calculated as follows:

Divide 1 by -0.07:

1/-0.07

= -100/7

= - 14.2857 which equals approximately -14.2857.

To round the result to one decimal place, we consider the first decimal digit after the point, which is 2. Since 2 is less than 5, we don't round up the preceding digit.

Round this number to one decimal place, giving us -14.3.

Therefore, the reciprocal of -0.07, correct to one decimal place, is -14.3.

Answer:

$1.57

Step-by-step explanation:

2.09 × 3/4 = 1.5675, rounded to 1.57

Answer:

I believe the answer is $1.57 about. The answer is longer but that is rounded.

Step-by-step explanation:

I just did 3/4 times 2.09 and got 1.57 because if a whole pound is 2.09 then 3/4 times the whole pound would give you 3/4 of the price.

Answer:

-1/14

Step-by-step explanation:

To simplify the expression, you should first divide up the parts to make it easier.  Multiply 1/5 by  -5/7 first.  When you multiply the two fractions, the fives cancel out since there is a five in both the numerator and the denominator.  This leaves us with just -1/7.

[tex]\frac{1}{5} *\frac{-5}{7} =\frac{-1}{7}[/tex]

Now, multiply -1/7 by 2/4.  Notice that you can simplify 2/4 to 1/2.  You can't cancel out anything in this expression so simply multiply the two fractions.

[tex]\frac{-1}{7} *\frac{1}{2} =-\frac{1}{14}[/tex]

I moved the negative sign from the numerator out front, but you don't have to do that.

Answer:0.0770

Step-by-step explanation:

0.076952 the five makes 9 round up.

Since you can't have ten the six increases by 1 so it is

0.077

Then you could add a zero on the end to 0.0770 so it is to 3 sig fig

Answer:

0.0770.

Step-by-step explanation:

That would be  rounded to the  next 3 digits after the second 0.

So it is 0.0770.

(The 7695 is rounded  to 770 because the digit after the 9 is 5, so the 69 is rounded up to 70).

Answer:

9

Step-by-step explanation:

6 divided by 2 equals 3 (1 plus 2 ) equals 3, 3 times 3 equal 9

Answer:

Number is "n"

(.40 * n) -10 = -4

Step-by-step explanation:

The phrase 'ten less than 40% of a number is -4' can be translated into a mathematical equation as 0.4x - 10 = -4. By using the rules of algebra, we can simplify this equation to find that the unknown number x equals 15.

The question deals with an equation involving the term 'ten less than 40% of a number'. This phrase can be translated into a mathematical equation as follows: 0.4x - 10 = -4, where x is the unknown number we're trying to find.

Following the rules of algebra, you would want to simplify this equation as much as possible. Let's add 10 to both sides of the equation, which gives us 0.4x = 6. To isolate 'x', we divide both sides of the equation by 0.4, which gives us x = 6 / 0.4. When you perform this division, you find that x = 15.

Thus, the number that 'ten less than 40% of' equals -4 is 15.

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Answer:

1) D

2) A

3) C

4) B

5) B

6) C

Step-by-step explanation:

1) V = Bh

V = πr² (h)

V = π (7²)(5)

V = 49π (5)

V = 245π

V ≈ 769.3

2) V = 1/3 Bh

V = 1/3 (12*12)(9)

V = 1/3 (144)(9)

V = 1/3 (1296)

V = 432

3) V = 4/3πr³

V = 4/3 π (4.5³)

V = 4/3 π (91.125)

V = 121.5π

V ≈ 381.51

4) 3 pairs of rectangles

2(16)(5) = 2(80) = 160

2(16)(11) = 2(176) = 352

2(11)(5) = 2(55) = 110

Add together 160 + 352 + 110

622

5) Two triangles 3 rectangles

Triangle

2(1/2)(18)(5) = 18*5 = 90

Rectangles

18*7 = 126

5*7 = 35

18.7*7 = 130.9

Add together 90 + 126 + 35 + 130.9 = 381.9

C) SA = πr² + πrl --> l is the slant height

SA = π (8²) + π (8)(17)

SA = 64π + 136π

SA = 200π

SA ≈ 628

DACBBC

Starting with 60, divide by 5 --> 12

add by 13 --> 25

multiply by 3 --> 75

subtract by 11 --> 64

cube root 64 --> 4

Multiply 60 --> 240

CODE: 240

The amount of three-dimensional space enclosed by a closed surface is known as volume. The code is 240.

The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.

1. The volume of a cylinder with a radius of 7 ft and a height of 5 ft is,

[tex]\rm \text{Volume of Cylinder} = \pi r^2 h = \pi \times 49 \times 5=769.7\ ft^3[/tex]

2. The Volume of the Pyramid with a side 12m, while the height is 9m is,

[tex]\rm \text{Volume of Pyramid} = \dfrac13 \times (\text{Area of square}) \times height = \dfrac13 \times 12^2 \times 9 = 432\ m^3[/tex]

3. The volume of the sphere with a diameter of 9 yds, can be written as,

[tex]\rm \text{Volume of sphere}=\dfrac{4}{3} \pi r^3=\dfrac43 \times \pi \times (\dfrac{9}{2})^3=381.7\ yd^3[/tex]

4. The surface area of the cuboid with a length of 16 cm, width of 5 cm, and height of 11 cm can be written as,

[tex]\rm \text{Surface area of Cuboid} = 2[(L\times W)+(W\times H)+(L\times H)][/tex]

[tex]\rm \text{Surface area of Cuboid} = 2[(16\times 5)+(5\times 11)+(16\times 11)] = 622\ cm^2[/tex]

5. The surface area of the given figure can be written as,

Surface Area of figure = 2(Area of the triangle) + Area of slant side + Area of rectangle +  Area of base

[tex]\rm \text{Surface Area of figure} = (\dfrac{2 \times 5 \times 18}{2}) + (18.7 \times 7)+(18 \times 7) + (5 \times 7) = 381.9\ in^2[/tex]

6. The surface area of a cone is given as,

[tex]\text{Surface Area of Cone}=\pi r(\sqrt{h^2+r^2})+\pi r^2[/tex]

The radius of the cylinder is 8 mm while the height is 15 mm, therefore, the surface area can be written as,

[tex]\rm\text{Surface Area of Cone}=\pi \times 8(\sqrt{15^2+8^2})+\pi \times 8^2 = 628.3\ mm^2[/tex]

Now, if we fill the results accordingly in fill in the blanks we will get,

Starting with 60, divide by 5

then add by 13

then multiply by 3

and subtract by 11

Now, cube root your result 64

Multiply the starting number60.

Thus, the code is 240.

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Answer:

No, it is not rational.

Step-by-step explanation:

A rational number is a number that can be in the form p/q. where p and q are integers and q is not equal to zero.

Answer:

15.3

Step-by-step explanation:

-2.7+18=15.3

Answer:

Step-by-step explanation:

When c=-2.7, we substitute the value of c into the expression so we can add

c+18=-2.7+18=18-2.7=15.3

Answer:

2

Step-by-step explanation:

Answer:

About 4.7

Step-by-step explanation:

First Find the volume of the cylindrical bale.

V= π(r)^2*6

V=π(2)^2*6

V=π*4*6

V=π24

The answer is about 75.4

Now find the volume of the Rectangular Prism

V= w*h*l

V= 2*2*4

The answer is 16

Finally divide 75.4÷16 Which to the nearest tenth is 4.7.

p.s please correct me if I am wrong.

Answer:

[tex]\displaystyle V = 36 \pi[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Integrals

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Volume of Revolution Formula [y-axis]:                                                               [tex]\displaystyle V = \pi \int\limits^b_a {r^2} \, dy[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = 4(3 - x)

y = 0

x = 0

Step 2: Redefine

Rewrite (Revolving around y-axis)

Step 2: Find Bounds of Integration

See attachment

Look at y-values, right to left.

Bounds: [0, 12]

Step 3: Find Volume

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Applications of Integration

Book: College Calculus 10e

Answer:  11

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab  

x

a=\text{starting value = }550

a=starting value = 550

r=\text{rate = }18.8\% = 0.188

r=rate = 18.8%=0.188

\text{Exponential Decay:}

Exponential Decay:

b=1-r=1-0.188=0.812

b=1−r=1−0.188=0.812

\text{Write Exponential Function:}

Write Exponential Function:

y=550(0.812)^x

y=550(0.812)  

x

Put it all together

\text{Plug in y-value:}

Plug in y-value:

60=550(0.812)^x

60=550(0.812)  

x

\frac{60}{550}=\frac{550(0.812)^x}{550}

550

60

​  

=  

550

550(0.812)  

x

​  

Divide both sides by 550

0.109091=0.812^x

0.109091=0.812  

x

\log 0.109091=\log 0.812^x

log0.109091=log0.812  

x

Take the log of both sides

\log 0.109091=x\log 0.812

log0.109091=xlog0.812

use power rule to bring x to the front

\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}

log0.812

log0.109091

​  

=  

log0.812

xlog0.812

​  

Divide both sides by log(0.812)

10.638757=x

10.638757=x

x\approx 11

x≈11

Answer:

x\approx 11

x≈11

Answer:

f(x) = 48

Step-by-step explanation:

If you substitute 10 for x, you get:

5*10-4/2

Simplify:

50-2

f(x) = 48

Answer:

a) 83

b) mean and mode are both 83

Step-by-step explanation:

a) mean is the average. so add all the numbers and divide by the number of numbers.

88 + 73 + 81 + 83 + 79 + 94 + T = 83

7

b) median - put the numbers in numerical order, smallest to largest, what is the middle number (4th number) 73, 79, 81, 83, 83, 88, 94

mode - which number shows up most frequently?

Answer:

i times the square root of 3

Step-by-step explanation:

Whenever you take a square root of a number, look for anything that you could take out! Like if you have the square root of 40, that’s 4 * 10, so you could take out a 2 from the square root and leave the 10.

In this, we see that it’s the square root of 3 times the square root of -1, which we can simplify to the square root of 3 times “i.” We use i to represent the square root of -1.

Answer: A. 6x14

Step-by-step explanation:

6(11+3)

6x11 = 66

6x3= 18

66+18= 84

6x14= 84

Use distributive property: a(b + c) = ab + ac

Steps to solve:

6(11 + 3)

~Use distributive property

(6 * 11) + (6 * 3)

~Simplify

66 + 18

~Add

84

Lets check each option to see which one equals 84.

Option A:

6 * 14

84

We don't need to check anymore options since Option A is correct.

Best of Luck!

Answer:

x = -1

-1 + 6 = 5

Since its a negative, you're actually subtracting it from 6.

Answer: 4x - y + 9 = 0

Step-by-step explanation:

Final answer:

To determine Miguel's total cost including the 8% sales tax, add the pre-tax total of $20.98 to the sales tax amount, which is calculated as $20.98 multiplied by 0.08, totaling $22.66.

Explanation:

To calculate Miguel’s total cost including an 8% sales tax on his purchases, follow these steps:

First, find the total cost before tax by adding the prices of the items. If Miguel bought items totaling $20.98, this is the pre-tax total.

Next, convert the tax percentage to a decimal form. For an 8% sales tax, this is done by dividing by 100, which gives us 0.08.

Then, calculate the amount of sales tax by multiplying the pre-tax total by the decimal tax rate: $20.98 × 0.08 = $1.6784.

Round the sales tax to the nearest cent, which gives us $1.68.

Finally, add the sales tax to the pre-tax total to find the total cost: $20.98 + $1.68 = $22.66.

The total cost for Miguel after adding the 8% sales tax is $22.66.

Answer:

All real numbers

Step-by-step explanation:

Distribute the 4 on the left side

4(2x-5)=5x-20+3x

8x-20=5x-20+3x

Combine like terms on the right side

8x-20=8x-20

All real numbers are solutions, because both sides are equal

Hope this helps! :)

Answer:

7(2+10)

14+10

=26 is the perimeter

S=7

Hope this helped

Step-by-step explanation:

Answer:

P=7+10+s

The perimeter is the length of all sides, so add 7, 10, and s to get p!

Hope this comes to help someone!

To plot the parabola y = -x² + 2x + 48, find the vertex at (1, 49), the roots at -6 and 8, and two additional points at (0, 48) and (2, 48). Then, plot these points on a graph and sketch the parabola.

To plot the given parabola y = -x² + 2x + 48, we must follow several steps:

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Answer: horizontal stretch, left 3,up 3

Step-by-step explanation: you guys are welcome! And be blessed

She needs a 94.

72+ 75 + 79 + 94 = 320

320 ÷ 4 = 80

Answer:

94%

Step-by-step explanation:

Answer:

b=0.46005 approx

Step-by-step explanation:

ugh its to messy just solve it like a quadratic