Solve the equation for x.

Solve The Equation For X.

Answers

Answer 1

Answer:

[tex]x=55[/tex]

Step-by-step explanation:

The given equation is [tex]\sqrt{x-6}+3=10[/tex]

Group similar terms to get:

[tex]\sqrt{x-6}=10-3[/tex]

[tex]\sqrt{x-6}=7[/tex]

Square both sides to obtain:

[tex]x-6=7^2[/tex]

[tex]x-6=49[/tex]

Add 6 to both sides

[tex]x=49+6[/tex]

Simplify the right hand side to obtain;

[tex]x=55[/tex]


Related Questions

evaluate this for me:

Answers

Answer:

0 or the third option down

Step-by-step explanation:

square root of 36-4(1)(9)

square root of 36-36

square root of 0

0

ANSWER

0

EXPLANATION

The given expression is:

[tex] \sqrt{ {b}^{2} - 4ac} [/tex]

We want to find the value of this expression when, a=1, b=-6 and c=9.

We substitute the given values into the expression to obtain:

[tex] \sqrt{ { (- 6)}^{2} - 4(1)(9)} [/tex]

We evaluate to obtain:

[tex] \sqrt{ 36- 36} [/tex]

This simplifies to

[tex] \sqrt{ 0} = 0[/tex]

The correct answer is the 3rd option.

Bradley dropped a ball from a roof 16feet high. Each time the ball hits the ground it bounces 3/5 the previous height. Find the height ball will bounce after hitting the ground the fourth time

Answers

Answer: 2.0736 ft

Step-by-step explanation:

Bounce 1: 16*3/5=9.6

Bounce 2: 9.6*3/5=5.76

Bounce 3: 5.76*3/5=3.456

Bounce 4: 3.456*3/5=2.0736

Answer:

The ball will bounce to 2.07 feet after 4th drop.

Step-by-step explanation:

Bradley dropped a ball from a roof 16 feet high. So, its the initial height.

Each time the ball hits the ground it bounces 3/5 the previous height.

Means after 1st drop, the ball will again rise to [tex]\frac{3}{5}\times16= 9.6[/tex] feet.

Similarly after 2nd drop, it will bounce to  [tex]\frac{3}{5}\times9.6=5.76[/tex]

After 3rd drop, it will bounce to [tex]\frac{3}{5}\times5.76=3.456[/tex] feet

After 4th drop, it will bounce to [tex]\frac{3}{5}\times3.456=2.0736[/tex] feet

Hence, the ball will bounce to 2.07 feet after 4th drop.

2. Find the area and circumference of the circle to the right.
16.6 m

Answers

Answer:

AREA:

[tex]A=216.42m^2[/tex]

CIRCUMFERENCE:

[tex]C=52.15m[/tex]

Step-by-step explanation:

The formula that is used to calculate the area of a circle is:

[tex]A=\pi r^2[/tex]

Where "r" is the radius of the circle.

The formula for calculate the circumference of a circle is:

[tex]C=2\pi r[/tex]

Where "r" is the radius of the circle.

Then, you need to find the radius. This is:

[tex]r=\frac{16.6m}{2}=8.3m[/tex]

Substituting the radius, you get that the area and the circumference are:

AREA:

[tex]A=\pi (8.3m)^2=216.42m^2[/tex]

CIRCUMFERENCE:

 [tex]C=2\pi (8.3m)=52.15m[/tex]

Answer with step-by-step explanation:

We are given a circle which is divided into two halves and has a diameter of 16.6 meter. We are to find the area and circumference of the circle to the right.

It means that our radius will be the half of the given diameter.

Radius = 16.6/2 = 8.3 m

Area = [tex]\pi r^2[/tex] = [tex]\frac{\pi \times (8.3)^2}{2}[/tex] = 216.4 m^2

Circumference = [tex]2 \pi r[/tex] = [tex]2 \times \pi \times 8.3[/tex] = 52.2 m

The following set of coordinates represent which figure?(7,10) (4,7) (6,5) (9,8)

Answers

Answer: i think a diamond

Step-by-step explanation:

Let's assume these are the vertices in order and calculated the squared lengths of the sides.  Let's calculate the vector for each side, which is the difference of the endpoints:

(7,10) - (4,7) = (3, 3)

(4,7) - (6,5) =(-2, 2)

(6,5) - (9,8) = (-3, -3)

(9,8) - (7,10) = (2, -2)

We see the pattern: (3,3) = -(-3,-3) and (-2,2) = -(2,-2)

We have two pairs of opposite vectors so we have a parallelogram.

Let's check the dot product of adjacent sides:

(3,3) . (-2, 2) = 3(-2) + 3(2) = 0

Zero dot product, we have perpendicularity. A parallelogram with one right angle is a

Answer: Rectangle

The adjacent sides are clearly not congruent  so it's not a square

.

The definition of a circle uses what undefined term

Answers

Answer:

The definition of a circle uses the undefined term is plane then the undefined term can contain parallel lines is plane and. The definition of an angle uses the undefined term is point likewise there are 3 possible geometry will fall.

Hope I helped

Step-by-step explanation:

A jacket was $50 and is now on sale for $35. What is the percent change in the cost?

Answers

from 50 to 35 is 15, so it went down by $15.

if we take 50 to be the 100%, what is 15 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 50&100\\ 15&x \end{array}\implies \cfrac{50}{15}=\cfrac{100}{x}\implies \cfrac{10}{3}=\cfrac{100}{x}\implies 10x=300 \\\\\\ x=\cfrac{300}{10}\implies x=30[/tex]

Answer:

-30%

Step-by-step explanation:

The decrease in price was $15.

Divide $15 by $50, obtaining 0.30, which in turn is mult. by 100%.

The percentage change, from $50 to $35, was -30%.

find the exact circumference of a circle with the given radius 3 and 1/2 cm​

Answers

Answer:

Step-by-step explanation:

Radius is half diameter so you have to multiply the radius by 2 to find diameter.

3 1/2 * 2 = 7

Answer:

Step-by-step explanation:

The circumference (C) of a circle is

C = 2πr = 2π × [tex]\frac{7}{2}[/tex] = [tex]\frac{14\pi }{2}[/tex] = 7π

I need to find the volume of a nose cone.

The cylinder has a height of 6ft and a diameter of 8ft. the formula for volume is πrrh

The cone has the same dimensions. the formula is πrrh÷2.

Answers

well then, the volume of the nose cone will just be the sum of the volume of the cylinder below and the cone above.

since the diameter for both is 8, then their radius is half that, or 4.

[tex]\bf \stackrel{\textit{volume of a cone}}{V=\cfrac{\pi r^2 h}{3}}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=6 \end{cases}\implies V=\cfrac{\pi (4)^2(6)}{3}\implies V=32\pi \\\\\\ \stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=6 \end{cases}\implies V=\pi (4)^2(6)\implies V=96\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{volume of the nose cone}}{32\pi +96\pi \implies 128\pi }\qquad \approx \qquad 402.12[/tex]

What is the range of the function g(x) = 3x2 - 6x + 3 when the domain is defined as the set of integers, x, such that 0<=x<=4? Show all work. I really need help y’all I have and f :(

Answers

Answer:

the domain of this function is [0, 27]

Step-by-step explanation:

One way of answering this question would be to make a table of x and y values.  Your x-values would be [0, 4] (that is, all x values between 0 and 4, including end points.

 x      y = 3x² - 6x + 3

 0                             3

 1                               0

 2                              3

 4                              27

From this table, it appears highly likely that the smallest y value would be 0, at x = 1, and that the largest would be 27 at x = 4.  Thus, the domain of this function is [0, 27].

Write an equation for each translation of .

5.5 units right



y = | x | – 5.5


y = | x + 5.5 |


y = | x | + 5.5


y = | x – 5.5 |

Answers

Answer:

C is the answer i did this before!

Step-by-step explanation:

Use the properties of exponents to solve for the each variable.

Answers

a=8+2=10; b=4•5=20; c=6-2=4

Answer:

a=10

b=20

c=4

Step-by-step explanation:

write 8.54 x 10 to the 3rd power in standard notation​

Answers

Answer:

= 8.54 × 101

(scientific notation)

= 8.54e1

(scientific e notation)

= 85.4 × 100

(engineering notation)

(one)

= 85.4

(real number)

WILL MARK BRAINLIEST!
If the circle graph represents the responses from 500 people, how many more people prefer burgers than cheeseburgers?

subs-10%

Tacos-10%

Chicken-10%

Pizza-30%

burger-25%

Cheeseburgers-15%


125

75

50

25

Answers

Answer:

50

Step-by-step explanation:

[tex]500 \div 100 \times 25 = 125[/tex]

[tex]500 \div 100 \times 15 = 75[/tex]

[tex]125 - 75 = 50[/tex]

50. From 500 people, 25% that prefer burger represent 125 people and 15% that prefer cheeseburger represent 75. This mean there are 50 more people that prefer burgers than cheeseburgers.

The key to solve this problem is by direct rule of three, we will place the 3 values (which we will call “a”, “b”, and “c”) and the unknown value that we want to figure out (“x”) to apply the formula:

a -----------> b

c -----------> x

[tex]x=\frac{b.c}{a}[/tex]

The circle graph represents the responses from 500 people in percentage.

To calculate the amount of people that prefer burgers:

If 100% ----------------> 500 people

    25% ----------------> x

[tex]x=\frac{(500)(25)}{100}= 125[/tex] which means 125 people prefer burgers

To calculate the amount of people that prefer cheeseburgers:

If 100% ----------------> 500 people

    15% ----------------> x

[tex]x=\frac{(500)(15)}{100}= 75[/tex] which means 75 people prefer cheeseburgers.

In order to know how many more people prefer burgers than cheeseburgers, let's apply the difference between people who prefer burgers and people who prefer cheeseburgers:

125 - 75 = 50 which mean 50 more people prefer burgers than cheeseburgers.

How to make fraction numbers into decimal

Answers

Answer:

Step-by-step explanation: Step

1. Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.

2. Multiply both top and bottom by that number.

3. Then write down just the top number, putting the decimal point in the correct spot

 Hey there!

 Turning fractions into decimals is very easy! You simply divide the numerator by the denominator and then you have your answer.

For example, we have 1/2. If we divide, we get 0.5, which is the decimal form.

I hope this helps!

A pair of sneakers cost $75. This is $15 less than the cost of a pair of jeans. Write an equation that someone could use to find the amount of money that the jeans cost.

Answers

15+75=J.

So the jeans should be $90

Answer-

add 15 from 75 then that is it

75+15=90

How much of Brand A fruit punch (40% fruit
juice) must be mixed with 3 gal. of grape juice
to create a mixture containing 58% fruit juice?

Answers

Answer: 98?

Step-by-step explanation:

Which statements are true? Check all that apply.
The circumscribed angle L has a measure of 49°.
The circumscribed angle L has a measure of 65.5°.
If the measure of arc HJ is 98°, the measure of angle HMJ is 98°.
If the measure of arc HJ is 98°, the measure of angle HKJ is 98°.
If the measure of arc HJ is 98°, the measure of arc HK is 131°.

Answers

The circumscribed angle L has a measure of 49°.

If the measure of arc HJ is 98°, the measure of angle HMJ is 98°.

If the measure of arc HJ is 98°, the measure of arc HK is 131°.

Answer:

True, 1, 3, 5

Step-by-step explanation:

1. Angle L is sircumsribed angle, thenMJ⊥JL and MK⊥KL, so the measure of the angle L is

360°-131°-90°-90°=49° (the sum of all interior angles in the quadrilateral is 360°)

True

2. False, because m∠L=49°.

3. If the measure of arc HJ is 98°, then the measure of the central angle HMJ is 98°.

True

4. If the measure of arc HJ is 98°, then the measure of the central angle HMJ is 98° and the meausre of inscribed angle HKJ subtended on the arc HJ is half of the central angle measure and is equal to 49°.

False

5. If the measure of arc HJ is 98°, then the measure of the arc HK is

360°-131°-98°=131°

True

(HELP ASAP PLEASE)
Aunt Gwen is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Hillsboro Bakery charges $4 for each cupcake, plus $28 for the large cake. Carson's Sweet Shoppe charges $55 for the large cake and $1 for each cupcake. If Aunt Gwen orders a certain number of cupcakes, the cost will be the same at either bakery. How many cupcakes would that include? What would the total cost be?


If Aunt Gwen orders ___ cupcakes, it will cost $ ___ at either shop.

Answers

Answer:

9 cupcakes and 64$

Step-by-step explanation:

try the math

So first, set up an equation for each shop, for the first one you can write 4x+28 (since it is 4 dollars for each cupcake and 28 dollars for the cake) and for the second shop you can write 55+x ( 55 dollars for cake and a dollar for each cupcake.) now you can set the 2 equations equal to each other because they want the number for cupcakes where the price will be equal. So 4x+28=55+x and then solve. I don’t want to completely tell you the answer but if you are stuck, you can tell me and I will gladly help.

Find the slope of the line whose equation is 2x - 3y + 6 = 0.
2/3
-2/3
-2

Answers

The slope would be the first one, 2/3. Hope this helps! Please mark brainliest! :) Thanks v much! :)

Answer:

2/3

Step-by-step explanation:

find the area of the figure

Answers

Answer:

A = 252

Step-by-step explanation:

It's a trapezoid.

The formula of an area of a trapezoid:

[tex]A=\dfrac{b_1+b_2}{2}\cdot h[/tex]

b₁, b₂ - bases

h - height

(look at the picture)

Use the Pythagorean theorem to calculate the length x:

[tex]x^2+12^2=15^2[/tex]

[tex]x^2+144=225[/tex]            subtract 144 from both sides

[tex]x^2=81\to x=\sqrt{81}\\\\x=9[/tex]

Substitute:

[tex]b_1=9+12+9=30\\b_2=12\\h=12[/tex]

[tex]A=\dfrac{30+12}{2}\cdot12=(42)(6)=252[/txt]

Simplify 8r+(-4r)+3 and then solve if r=5​

Answers

Simplify= 4r+3

Because 8r plus -4r which is 4r and then 3 can’t be simplified so u keep it the same

Then the answer if r=5 is 23

Because the equation looks like 4(5)+3

5 times 4 is 20 plus 3 is 23

Final answer:

The expression 8r+(-4r)+3 simplifies to 4r + 3. Substituting r=5 into the simplified expression gives you 4(5) + 3, which equals 23.

Explanation:

To simplify the expression 8r+(-4r)+3, you combine the like terms which are 8r and -4r. They are like terms because they both contain the variable r.

Simplifying the like terms:

8r + (-4r) = 8r - 4r = 4r

So now the expression simplifies to 4r + 3. To solve for r = 5, you substitute the value of r into the simplified expression:

4r + 3 becomes 4(5) + 3,

20 + 3 = 23.

Therefore, when r = 5, the simplified expression evaluates to 23.

Jessica is going to a vegetable shop. She buys some lady fingers for $23, some potatoes for $30,
and a bag of tomatoes for $16. Now she has $20 left. How much money did she have to begin
with?

Answers

Answer:

$89

Step-by-step explanation:

add all the numbers together

PLEASE HELP & SHOW WORK , ITS URGENT
it’s appreciated <3 !!

Answers

see if u understand the answer

Answer:

C

Step-by-step explanation:

The circumference (C) of a circle is calculated using

C= 2πr ← r is the radius and has to be found

Given C = 20π , then

2πr = 20π ( divide both sides by 2π )

r = [tex]\frac{20\pi }{2\pi }[/tex] = 10

The area (A) of a circle is calculated using the formula

A = πr² = π × 10² = 100π m² → C

X represents the # of trees. Y represents the height. How many 150
Answers

105

50

30

80

Answers

Answer: 30

Step-by-step explanation:

Find the range of y = 3cos4x - 2.

-5 ≤ y ≤ 5
-5 ≤ y ≤ 1
-3 ≤ y ≤ 3
1 ≤ y ≤ 3

Answers

ANSWER

[tex]- 5\leqslant y \leqslant 1[/tex]

EXPLANATION

The given cosine function is:

[tex]y = 3 \cos4x - 2[/tex]

The amplitude of this function is:

3

This means the parent function has range:

[tex] - 3 \leqslant y \leqslant 3[/tex]

The given function has been shifted down by 2 units.

So we add -2 to the peak values to get

[tex] - 2 + - 3 \leqslant y \leqslant 3 + - 2[/tex]

The given function has range:

[tex]- 5\leqslant y \leqslant 1[/tex]

Answer:

-5 ≤ y ≤ 1

Step-by-step explanation:

correct

PLEASE HELP!!
If the circle graph below represents the responses from 350 people, how many people chose silver as their favorite car color?

Black-25%

White-10%

Silver-10%

Yellow-5%

Red-50%

350

10

35

100

Answers

For this you have to make two proportions that are [tex]\frac{part}{whole}[/tex] and set them equal to each other.

The first proportion represents the percent of people who like silver as their favorite car color

Since this is a circle graph the whole will always be 100 because percents are always taken out of 100

The part would be 10 because only 10% out of the 100% like silver

The second proportion is the people that represent the response.

350 would be the whole because that is the total amount of people surveyed

The part is unknown and what you are solving for.

Here is how the proportion should look like:

[tex]\frac{10}{100} = \frac{x}{350}[/tex]

Cross multiply (If you don't know what this is look at the image below to see my work)

The cross multiplication will give you:

3500 = 100x

Isolate x by dividing 100 to both sides

3500/100 = 100x/100

35 = x

This means that 35 people out of the 350 surveyed like silver cars

Hope this helped!

Answer:

If the circle graph below represents the responses from 350 people, how many people chose silver as their favorite car color?

100

35

10

350

Step-by-step explanation:

D. is right plz put me Brainliest plz  

What are the solutions for x when y is equal to 0 in the following quadratic
function?
y = x² + 10x – 24
OA) X= -4 or x = -6
OB) x = -6 or x = 4
OC) x = -2 or x = 12
OD) x = -12 or x = 2
O E) no real solutions​

Answers

Answer:

D) x = -12 or x = 2

Step-by-step explanation:

The given quadratic equation is:

[tex]y=x^2+10x-24[/tex]

When y=0, we obtain:

[tex]x^2+10x-24=0[/tex]

We split the middle term with -2, 12 because their product is is -24 and their sum is 10.

[tex]x^2-2x+12x-24=0[/tex]

We factor by grouping to obtain:

[tex]x(x-2)+12(x-2)=0[/tex]

[tex](x-2)(x+12)=0[/tex]

Either [tex](x-2)=0[/tex] or [tex](x+12)=0[/tex]

Either [tex]x=2[/tex] or [tex]x=-12[/tex]

7. length of a soccer field
is it meters or kilometers

Answers

Answer:

The answer would be Meters.

Step-by-step explanation:

The length of the soccer field is measured in Meters.

There are units to measure everything. Like length is measured in units of millimeter, centimeter, meter, kilometer etc, weight is measured in milligram, gram, kilogram, etc, height is measured in inches, feet, etc.

A soccer field is the ground on which soccer is played. This field is measured in meters. The soccer field has different dimensions. There are standard touch lines, goal lines. Touch lines and goal lines dimensions are different for international play. These lines or dimensions are measured in meters.

My paychecks gross pay came to 663.87 for the week. If 20% is taken out for taxes how much is my net pay

Answers

Answer:

Final Price: 531.10

Discount: 132.77

Step-by-step explanation:

663.87 is 100%

? is 20%

?=20•663.87/100~$132.77 taxes

Net pay= 663.87-132.77=$531.1

10 in.
6 in.
8 in,
7 in.what is the surface area ​

Answers

Final answer:

The surface area of the rectangular prism is 376 square inches.

Explanation:

To find the surface area of an object, we need to calculate the sum of the areas of all its faces. Given the dimensions 10 in., 6 in., 8 in., and 7 in., we can assume that these are the lengths of the sides of a rectangular prism. The formula to find the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the prism, respectively.

Using the given values, we can substitute 10 in. for l, 6 in. for w, and 8 in. for h to find the surface area:

Surface Area = 2(10 in.)(6 in.) + 2(10 in.)(8 in.) + 2(6 in.)(8 in.)

Surface Area = 120 in² + 160 in² + 96 in²

Surface Area = 376 in²

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