What is the solution to the equation Two-thirds x + 1 = one-sixth x minus 7?

Answer:

[tex]x = 14.667[/tex]

Step-by-step explanation:

[tex]3x + 22 = 66 \\ 3x = 66 - 22 \\ 3x = 44 \\ \frac{3x}{3} = \frac{44}{3} \\ x = 14.667[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x = [tex]\frac{44}{3}[/tex]              OR                x = 14.67

Step-by-step explanation:

The first step is to subtract 22 from both sides, like so:

3x + 22 = 66

     - 22   - 22

--------------------

3x = 44

Divide both sides by 3:

x = [tex]\frac{44}{3}[/tex]              OR                x = 14.67

Answer:

B) 44.8

Step-by-step explanation:

cos ( ∠C ) = 5/13 = 0.38462

m ∠C = cos^(-1) 0.38642 = 67.4°

m ∠A = 90° - 67.4° = 22.6°

m ∠C - m ∠A = 67.4° - 22.6° = 44.8°

Answer:

1017.88 in^3 to the nearest hundredth.

Step-by-step explanation:

Volume = 1/3 * π r^2 h

= 1/3 *  π  * 9^2 * 12

= 1017.88 in^3.

532-308 is the same as 524-300

Answer:3

Step-by-step explanation:720 (the amount he uses) and divide it by 240 (which is the amount to make one cake) and it gives you 3

Answer:

[tex]\frac{21}{2x^{2} +4x}[/tex]

Step-by-step explanation:

[tex]\frac{3}{x+2} \times \frac{7}{2x}[/tex]

[tex]\frac{7 \times 3}{2x(x+2)}[/tex]

[tex]=\frac{21}{2x^{2} +4x}[/tex]

Answer: a. 112 feet, b= 3 seconds, c= 256 feet, d = 6 seconds

Step-by-step explanation:

Here is the complete question:

Rubi tosses a quarter off the Main Street bridge into the St. John’s River. The distance, in feet, the quarter is above the water is modeled by the equation d(t) = −16t2+96t + 112, where t represents time in seconds.

Find the actual value(s) now to each question. Use the solution from the previous question to assist you with what you are actual solving for.

(a) From what height was the quarter tossed?

The quarter was tossed at 112 feet.

(b) How long does it take the quarter to reach its maximum height?

It will take ________ seconds for the quarter to reach its maximum height.

(c) What is the maximum height of the quarter?

The maximum height of the quarter is ________ feet.

(d) How much time does it take for the quarter to hit the water?

It will take ______ seconds for the quarter to hit the water.

a. Since the function is

d(t) = −16t² + 96t + 112,

The coin is tossed at 112 feet. This is because it is the the initial value of the function. It is the constant term and does not depend on any other variable.

b. To calculate the maximum height, we have to find vertex of the function, that has coordinates of h,k and,

h = -b/2a and k = f(h).

From the question, we are aware that,

a = -16, b = 96, c = 112

Using the values, the vertex will be:

h = -b/2a

= -96/(2 × -16)

= -96/-32

= 3

k = f(3)

= 16t² + 96t + 112

= -16(3)² + 96(3) + 112

= -144 + 288 + 112

= 256

The maximum height is therefore 256 feet, and time needed to reach the height will be 3 seconds.

c. The maximum height has been calculated and it is 256 feet.

d. The time it take for the quarter to hit the water will be:

= 3 seconds × 2 = 6 seconds

Since the maximum height took 3 seconds, it would take another 3 seconds to hit the water. This makes it 6 seconds

Answer:

-2.9

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like factors.

-10x + 8 = 37

Subtract 8 from both sides.

-10x = 29

Divide both sides by -10.

x = -2.9

Answer:

x = -29/10 = -2 9/10

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like terms

-10x +8 = 37

Subtract 8 from each side

-10x + 8-8 = 37-8

-10x = 29

Divide each side by -10

-10x/-10 = 29/-10

x = -29/10

x = -2 9/10

Answer: 6.05 units

Step-by-step explanation:

Correct question is:

A cone with radius 3 units is shown below. Its volume is 57 cubic units. Find the height of the cone. Use 3.14 for pi and round your final answer to the nearest hundredth.

Hi, to answer this question we have to apply the next formula:

Volume of a cone = 1/3 x π x radius^2 x height

Replacing with the values given:

57 = 1/3x  3.14 x (3)^2 (h)

Solving for h

57 = 1/3 x 3.14 x  9 (h)

57 =9.42h

57/9.42 =h

h= 6.05 units

Feel free to ask for more if needed or if you did not understand something.  

Answer:

6.05 units

Step-by-step explanation:

Answer: 14, 16, 13,3.5, 50

Step-by-step explanation:

Basically, what you do is find half of each number in the number of customers column and yeah that's it.

Answer:

2. 90+240= 330 m cubed

3. (24*2)+96= 144 cm cubed

Answer:

300 g

Step-by-step explanation:

weight of a can of biscuits= (23- 0.5)/15= 1.5 kg

weight of 8 cans= 1.5 * 8= 12 kg

mass of the empty box Q= 12.3- 12= 0.3 kg= 300 g

Answer:

300 g or 0.3 kg

Step-by-step explanation:

23 kg - 500g = 22.5 kg

each can of biscuits weighs 22.5 ÷ 15 = 1.5 kg

if the box Q weighs 12.3kg when there's 8 box of biscuits then

8 × 1.5 = 12 kg is the weight of biscuits and the remaining 300 g is box Q's weight

The decrease is 25% so this means that 22 is 75% of the original number (100% - 25% = 75%)

Divide 22 by 75%:

22/ 0.75 = 29.3

The answer is 29.3

Answer:

$100

Step-by-step explanation:

350/7=50

50x2=100

Answer:

fourth one = 780

Step-by-step explanation:

-4-30-3 =-37

8/10-2 = -6/5

3(-92)+28 = 248

-26* -30 = 780

Answer:

she needs to walk 6.5 kilometers more.

Step-by-step explanation:

8km/0.55 = 14.5454 - 8 = 6.5454 = 6.5km

Answer:

  A. the perpendicular bisector of the line segment XY

Step-by-step explanation:

You know that one point equidistant from X and Y is the midpoint of segment XY. The third vertex of an isosceles triangle with XY as its base will also be equidistant from X and Y. That vertex will be located on the perpendicular bisector of XY.

The locus of points of interest is the perpendicular bisector of XY.

_____

For many geometry problems, it can be helpful to draw a diagram.

Answer:

The common ratio of a geometric series is \dfrac14

4

1 ​

start fraction, 1, divided by, 4, end fraction and the sum of the first 4 terms is 170

The first term is 128

Step-by-step explanation:

The common ratio of the geometric series is given as:

[tex]r = \frac{1}{4}[/tex]

The sum of the first 4 term is 170.

The sum of first n terms of a geometric sequence is given b;

[tex]s_n=\frac{a_1(1-r^n)}{1-r}[/tex]

common ratio, n=4 and equate to 170.

[tex]\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170[/tex]

[tex]\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170\\\\ \frac{255}{256} a_1 = \frac{3}{4} \times 170\\\\\frac{255}{256} a_1 = \frac{255}{2} \\\\\frac{1}{256} a_1 = \frac{1}{2} \\\\ a_1 = \frac{1}{2} \times 256\\\\a_1 = \frac{1}{2} \times 256 \\\\= 128[/tex]

Answer:

The first term is 128

Answer: 3^3 = 27

Step-by-step explanation:

The formula is:

[tex]log_{3} 27=3[/tex] is just [tex]a^c=b\\a=logbase\\b=number\\c=answer\\\\3^3=27[/tex]

Answer:

[tex] {3}^{3} = 27 \\ [/tex]

Step-by-step explanation:

[tex] log_{a}(c) = b[/tex]

[tex] log_{3}(27) = 3[/tex]

so,

[tex] {3}^{3} = 27[/tex]

hope this helps you

brainliest appreciated

good luck! have a nice day!

Answer:

A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x.

:)

Step-by-step explanation:

Answer:ascale factor is used in instructing some one on what is to be done in adrawn diagram in a graph e.g

Enlargement

Step-by-step explanation:I hope it gelps

Answer:

2/5

Step-by-step explanation:

[tex]\frac{\sqrt[3]{8} }{\sqrt[3]{125} } = \frac{2}{5}[/tex]

Answer:

Step-by-step explanation:

have a blessed day and life

Answer: if we want to find a point of  17*m(x) + 2, one is (1, 155)

Step-by-step explanation:

I guess you want to know a point in the function

h(x) = 17*m(x) + 2

we know that m(1) = 9 (because m(x) has the point (1, 9) in it's graph)

then h(1) = 17*m(1) + 2 = 17*9 + 2 = 155

so this function has the point (1, 155)

Answer:

The coordinates of the point is (5.5, -2)

Step-by-step explanation:

Okay, what we want to do here is to get the point that divides the line that joins the points (3,3) to (7,-5) in the ratio 5 to 3

Generally, given the ratio a:b and we want to divide the line joining the points (x1,y1) and (x2,y2) in that ratio, we use the condensed formula below;

Let’s call the point dividing the line in the given ratio z.

The coordinates of Z is;

{(bx1 + ax2)/(a+b), (by1 + ay2)/(a+b)}

In this question (x1,y1) = (3,3)

While (x2,y2) = (7,-5)

while a:b = 5:3

Substituting these values into the coordinate equation for point z, we have ;

{((3(3) + 5(7))/(5+3), ((3)(3) + 5(-5))/(5+3)}

= {44/8 , -16/8} = {5.5, -2}

Answer:

D.Mica spent $45.50 on 7 wiffle ball sets. How much does it cost for one set?

Step-by-step explanation:

A.Cost of 1 gallon=3.79

Cost of 10.3 gallon=[tex]3.79\times 10.3=39.037[/tex]

It can not be solved b y division of decimals.

B.Let x be grade got by Maria in her next test.

Grades obtained by Marian in her 4 previous test are  given by

75.3,92.1,78.6 and 81.0

According to question

[tex]75.3+92.1+78.6+81.0\geq 400[/tex]

[tex]327+x\geq 400[/tex]

[tex]x\geq 400-327[/tex]

[tex]x\geq 73[/tex]

It can not be solved b y division of decimals.

C.Helena saved money=$45

Cost of dress=$78.00

78-45=33

She needs to save $33 more.

It can not be solved b y division of decimals.

D.Cost of 7 wiffle ball sets=$45.50

Cost of 1  ball set=[tex]\fra{45.50}{7}=[/tex]$6.5

It can be solved b y division of decimals.

Option D is true.

D.Mica spent $45.50 on 7 wiffle ball sets. How much does it cost for one set?

Answer:

the answer is d

Step-by-step explanation:

Answer:

You can use a calculator to find all the tan, sin, cos values! Simply enter the number, for example, 52, then press the tan button! For question d, you are finding what number that decimal is the tangent of. Press the 2nd function on your calculator, and you can see that -1 beside the tan. Enter the decimal then use that button to find the reverse tangent.

tan52 = 1.2799

sin19 = 0.3256

cos34 = 0.8290

tan-1(0.9876) = 44.6426

To solve the conveyor belt problem, you'll have to use the sine of 15. (remember, sine = opposite/hypotenuse). Set up an equation:

sin15 = ?/12m

Use a calculator to find sin15, then you can solve it like algebra.

sin15 = ?/12m

sin15*12m = ?

0.2588*12m = ?

3.1056m = ?

Hope this helped :)

Answer:

Step-by-step explanation:

5) Perimeter = 15 + 21 + 15 + 21 = 72 cm

6) diameter = 12 cm

Radius r = 12/2 = 6 cm

Circumference = 2πr

                         = 2 * 3.14 * 6

                        = 37.68 cm

8) Distance around the track =  2 *circumference of semi circle + 80 + 80

= circumference of circle + 80 + 80

= 2 * 3.14 * 10 + 80 +80

= 62.8 +80 +80

= 222.8 cm

Answer:

49°

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

let x be the other exterior angle then sum and equate to 360

37 + 84 + 49 + 38 + 35 + 68 + x = 360

311 + x = 360 ( subtract 311 from both sides )

x = 49

The other exterior angle = 49°

Answer:

b = (a - 6)^2

Step-by-step explanation:

Solve for b:

a = sqrt(b) + 6

a = sqrt(b) + 6 is equivalent to sqrt(b) + 6 = a:

sqrt(b) + 6 = a

Subtract 6 from both sides:

sqrt(b) = a - 6

Raise both sides to the power of two:

Answer: b = (a - 6)^2

The formula is simplified as the equation b = a² - 6

Given data:

To make "b" the subject of the formula "a = √(b + 6)", we need to isolate "b" on one side of the equation.

Here are the steps to rearrange the equation and solve for "b":

Start with the equation: a = √(b + 6).

Square both sides of the equation to eliminate the square root:

(a)² = (√(b + 6))².

Simplify the right side of the equation:

a² = b + 6.

Subtract 6 from both sides of the equation to isolate "b":

a² - 6 = b.

So, the equation "a = √(b + 6)" can be rearranged as "b = a² - 6". This new equation allows us to calculate the value of "b" based on a given value of "a".

Hence, the equation is b = a^2 - 6.

To learn more about equations click :

https://brainly.com/question/19297665

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Answer:

5x + y

Step-by-step explanation:

4(2x + y) - 3(x + y) = 4*2x + 4y - 3x - 3y = 8x - 3x + 4y - 3y = 5x + y

Hello!

:[tex]\boxed{ \bf The~answer~is~5x~+~y}[/tex]

4(2x+y)-3(x+y)

Multiply everything inside the brackets by the number outside.

= 8x + 4y - 3x - 3y

Next, combine like terms.

= 8x - 3x + 4y - 3y

= 5x + y