Answers
Answer:
x = 70
Step-by-step explanation:
[tex] \sqrt{x - 6} = 8 \\ squaring \: both \: sides \\ {( \sqrt{x - 6)} }^{2} = {8}^{2} \\ x - 6 = 64 \\ x = 64 + 6 \\ \huge \red{ \boxed{ x = 70 }}\\ [/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{x-6}=8[/tex]
Take square,
[tex](\sqrt{x-6})^{2}=8^{2}\\\\x-6=64\\\\[/tex]
Add 6 to both sides,
x - 6 + 6 = 64+6
x = 70
Related Questions
Mrs.Garcia is making bread using a total of 400 grams of gluten free flour.The recipe calls for 70% of the flour to be almond flour. She needs to know how much almond flower to use.
Answers
Answer:
She needs 280 grams of almond flour.
Step-by-step explanation:
This question can be solved using a rule of three.
400 grams is 100% = 1. How much is 70% = 0.7?
400 grams - 1
x grams - 0.7
x = 400*0.7
x = 280
She needs 280 grams of almond flour.
Answer:
120g
Step-by-step explanation:
70% of flour in 400g is expressed as
= 70/100×400
=0.7×400
=280g
Therefore, the amount of almond flour to be used by Mrs Garcia in making the recipe is
=400g-280g
=120g
Thus, Mrs Garcia requires 120g of almond flour
Four students were asked to write an expression which has terms that have a greatest common factor of 8c.
the expressions provided by the students are shown below.
Tanya
32C+16cd
Wyatt
8c-48cd
Xavier
36c-24c yang. 8c+40
Which student wrote the correct expression?
Answers
Answer:
Wyatt
Step-by-step explanation:
Tanya: 32c+16cd=16c(2+d)
The GCD of the terms is 16cWyatt : 8c-48cd=8c(1-6d)
The GCD of the terms is 8cXavier :36c-24c =12c(3-2)
The GCD of the terms is 12cYang: 8c+40=8(c+5)
The GCD of the terms is 8Since the expression is required to have a GCD of 8c, Wyatt wrote the correct expression.
Answer:
wyatt answered correctly
Step-by-step explanation:
Solve the following:
a)
3x + 4 /2 = 9.5
7 + 2x /3 = 5
b)
Answers
a) x=2.5
b) x=-3
How may cups are In a gallon
Answers
Answer:
I think it is 16 cups in a gallon
Rewrite as a simplified fraction.
2.31 with the 1 repeating
Answers
Answer: [tex]\frac{104}{45}[/tex]
Step-by-step explanation:
[tex]2.31^-[/tex]
Let x be equal to that.
[tex]x=2.31^-[/tex]
Multiply by 1 followed by as many zeros as repeating numbers. In this case it's just one repeating decimal, therefore, 1 followed by 1 zero or 10.
[tex]10x=2.31^-*10[/tex]
This basically moves the decimal point one number to the right.
[tex]10x=23.11^-[/tex]
Subtract the first equation from this new equation.
[tex]10x=23.11^-\\-x=2.31^-[/tex]
--------------------------
The repeating decimal is eliminated and we are left with:
23.1
- 2.3
---------
20.8
We also have 10 - 1 = 9. We are left with:
[tex]9x=20.8[/tex]
Divide by 9.
[tex]x=\frac{20.8}{9}[/tex]
To get rid of the decimal, multiply by 1 followed by as many zeros as decimals. In this case 1.
[tex]x=\frac{20.8}{9} (\frac{10}{10} )[/tex]
[tex]x=\frac{208}{90}[/tex]
Let's simplify.
208/2=104
90/2=45
[tex]x=\frac{104}{45}[/tex]
plzzzzzzzzz help me im dewwwwwww plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz pros
Answers
Answer:
C
Step-by-step explanation:
[tex]x^2-2x-80=[/tex]
[tex](x-10)(x+8)[/tex]
You can confirm this by expanding this:
[tex](x-10)(x+8)=[/tex]
[tex]x^2-10x+8x-80=[/tex]
[tex]x^2-2x-80[/tex]
Therefore, the answer is choice C. Hope this helps!
Answer:
C
Step-by-step explanation:
x^2-2x-80
(x^2+8)+(-10x-80)
factor out the -10 for -10x-80
=x(x+8)-10(x+8)
(x+8)(x-10)
pls mark me brainliest
What is the perimeter of the quadrilateral
shown below?
Answers
Answer:
6x^2+x-1
Step-by-step explanation:
(2x+5)+(4x^2+2x)+(x^2-3x)+(x^2-6)
=4x^2+x^2+x^2+2x+2x-3x+5-6
=6x^2+2x+2x-3x+5-6
=6x^2+x+5-6
=6x^2+x-1
How many solutions does this equation have?
–2 − 10z = –4 − 10z
Answers
Answer:
No solutions
Step-by-step explanation:
To find out how many solutions there are you must solve:
- 2 - 10z = - 4 - 10z
Add 10z to both sides:
-2 = -4
Since the two terms are different from one another, that means that there are no solutions for this equation.
Please help. I also will post another question I need help with. Thank you if you help.
Answers
Geometric progression, first term 5, common ratio 3.
Answer: 5, 15, 45, 135
Given g(x)= -x-2, find g(0)
Answers
Answer:
-2
Step-by-step explanation:
You just have to plug in 0 for x
-(0)-2
there's no such thing as a negative 0 so it would just be negative 2
Please help!!!!!!!!!!!!!!!!!
Answers
Answer:
tan Z = 3/4
Step-by-step explanation:
[tex] \tan(Z) = \frac{21}{28} \\ \tan(Z) = \frac{3}{4} [/tex]
Erica has a small metal treasure box. The inside of the box is 3 inches wide, 6 inches long, and 4 inches deep. Erica wants to line the box with fabric to protect the items she puts in the box. How many square inches of fabric will she need? Show your work
Answers
Answer: she will need 108 square inches of fabric.
Step-by-step explanation:
To determine the number of square inches of fabric that she will need, we would determine the surface area of the inner part of the box. The formula for determining the surface area of a box or cuboid is expressed as
Surface area = (2lw + 2lh + 2wh)
Where
l represents length of the box = 6 inches
w represents width of the box = 3 inches
h represents height of the box = 4 inches
Therefore,
Surface area = (2 × 6 × 3) + (2 × 6 × 4) + (2 × 3 × 4) = 108 inches²
What is the circumference of a circle with a diameter of 85 feet? using 3.14for pi
Answers
Answer:
266.9
Step-by-step explanation:
In order to find the circumference of a circle, you have to multiply the diameter by pi.
Circumference= 85 × 3.14
When multiplied this will get you 266.9
The function f (t) =-16t^2 = 576 represents the height of a freely falling ballast bag that starts from rest on a ballon 576 feet above the ground. After how many seconds t does the ballast bag hit the ground.
Answers
Answer:
The ballast bag hits the ground after 6 seconds.
Step-by-step explanation:
Suppose there was a small typing mistake.
The height of the ball, after t seconds, is given by the following equation:
[tex]f(t) = -16t^{2} + 576[/tex]
After how many seconds t does the ballast bag hit the ground.
This is t for which f(t) = 0. So
[tex]f(t) = -16t^{2} + 576[/tex]
[tex]-16t^{2} + 576 = 0[/tex]
[tex]16t^{2} = 576[/tex]
[tex]t^{2} = \frac{576}{16}[/tex]
[tex]t^{2} = 36[/tex]
[tex]t = \pm \sqrt{36}[/tex]
Time is a positive measure, so
[tex]t = 6[/tex]
The ballast bag hits the ground after 6 seconds.
What is the volume, in cubic m, of a cube with an edge length of 18m?
Answers
Answer:
The answer is 5832
Step-by-step explanation:
18 ^3 is 5832
Stephen uses \dfrac{2}{25}
25
2
start fraction, 2, divided by, 25, end fraction kilograms of tofu in each serving of his famous tofu dish. He has 1\dfrac{1}{10}1
10
1
1, start fraction, 1, divided by, 10, end fraction kilograms of tofu.
How many servings can Stephen make?
Answers
Answer:
[tex]13\dfrac{3}{4}$ servings[/tex]
Step-by-step explanation:
Stephen uses [tex]\dfrac{2}{25}[/tex] kilograms of tofu in each serving of his dish.
He has [tex]1\dfrac{1}{10}[/tex] kilograms of tofu.
We want to determine how many servings Stephen can make.
To do this, we divide the total weight of tofu by the weight per serving.
[tex]\dfrac{\text{Total Weight(in kg)}}{\text{Weight(kg) per serving}} =\dfrac{1\dfrac{1}{10}}{ \dfrac{2}{25}}\\ = \dfrac{11}{10}\div \dfrac{2}{25}\\\\= \dfrac{11}{10}X \dfrac{25}{2}\\\\= \dfrac{11X25}{10X2}\\\\= \dfrac{275}{20}\\\\=13\dfrac{3}{4}$ servings[/tex]
Stephen can make [tex]13\dfrac{3}{4}$ servings[/tex] .
Did Julio verify the solution?
O No. He substituted 4 and -2 for the wrong
variables.
O No. He did not check the point in the second
equation
O No. He simplified the equation incorrectly.
Yes. He verified that (4, -2) is a solution to the
system of equations.
ASAP
Answers
Answer:
No. He did not check the point in the second equation.
Step-by-step explanation:
Took the assignment
Answer:
no he did not check his second equation
Step-by-step explanation:
Just took it hope this helps.
A square has an area of 9 cm^2. What is the length of each side?
Answers
Answer:
The side length is 3 cm
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
9 = s^2
Take the square root of each side
sqrt(9) = sqrt(s^2)
3 =s
The side length is 3 cm
Answer:
3cm
Step-by-step explanation:
As we know it's a square, we can just square the area to get:
[tex]\sqrt{9}[/tex] = 3
We know we can do this as to find the area of a square or rectangle you just need to multiply the sides together. As it's a square, all the sides are the same so they have the formula:
x * x = A (unit)^2
What is the product of (-a + 3)(a + 4)?
Answers
Answer:
-a^2-a+12
Step-by-step explanation:
(-a+3)(a+4)
-a^2-4a+3a+12
-a^2-a+12
which rational number does not have a reciprocal
Answers
Answer:
the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].
Step-by-step explanation:
Need help with 1 and 2 please
Answers
Answer:
calculator
Step-by-step explanation:
calculator
Anyone understand how to do this?
Answers
Answer:
f ( x ) = - 2x^2 + 3x + 1
Step-by-step explanation:
If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;
− ∞ < x < ∞, while y > − ∞
Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;
If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;
Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2
Nadia has a box of quarters and dimes on her dresser. There are 5 times as many
quarters as dimes in the box. The total number of quarters and dimes is 96. How
many of each coin is in the box?
Answers
Answer:
480= 96x5
Step-by-step explanation:
multiply on a caluculater
Does the sign need to flip when solving?
-2x = 22
Answers
Answer:
no
Step-by-step explanation:
an equal sign can't be flipped
Answer: no
Step-by-step explanation:
The cost of 6 tennis balls in a sports store is $4.60. Wyatt bought 9 tennis balls from the store. What is the cost of 9 tennis balls?
Answers
Answer:
$6.90 is the cost of 9 tennis balls
Write the expression – 5x(4 + 3x) using words.
the sum of negative five times a number and four minus three times the number
the product of negative five times a number and the quantity four plus three times the number
the product of three times a number plus the quantity four and five times the number
Answers
Answer:
the product of negative five times a number and the quantity four plus three times the number
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how
much money would you owe in taxes at the end of the year? Show your work. (5 points)
Answers
Answer:
$1,263.75
Step-by-step explanation:
8425×0.15=1263.75
Answer: $1263.75
Step-by-step explanation:
$8425 (the amount you earned) multiplied by 0.15 (the tax rate as a decimal) is equal to 1263.75.
So, you would owe $1263.75 in taxes at the end of the year.
How many batches of cookies can Robert make?
Answers
Answer:
5 batches
Step-by-step explanation:
For this you need to divide the 2 fractions, and what ever you get will be the answer.
[tex]4\frac{1}{2}[/tex]÷[tex]\frac{3}{4}[/tex]
First make the mixed fraction into a improper fraction.
[tex]\frac{9}{2}[/tex]×[tex]\frac{4}{3}[/tex]=[tex]\frac{36}{6} =\frac{5}{1} =5[/tex]
Final answer
5 batches
Rina is 6x + 3:8 feet tall and Ryan is 5x + 1/8 feet tall. How much taller is Rina than Ryan?
Answers
Answer: Rina is [tex]x+\dfrac{1}{4}[/tex] feet taller than Ryan.
Step-by-step explanation:
Given, the height of Rina = [tex]6x+\dfrac{3}{8}[/tex] feet
The height of Ryan = [tex]5x+\dfrac{1}{8}[/tex] feet
To find : How much taller is Rina than Ryan?
Clue : Rina is taller than Ryan.
For that , we need to check the difference of the height between Ryan and Rina
i.e. (height of Rina) - (height of Ryan)
[tex]=6x+\dfrac{3}{8}-(5x+\dfrac{1}{8})\\\\=6x+\dfrac{3}{8}-5x-\dfrac{1}{8}\\\\=x+\dfrac{3-1}{8}\\\\=x+\dfrac{2}{8}\\\\=x+\dfrac{1}{4}[/tex]
Hence, Rina is [tex]x+\dfrac{1}{4}[/tex] feet taller than Ryan.
Jacob took a total of 12 quizzes over the course of 3 weeks.
How many weeks of school will Jacob have to attend this quarter before he will have taken a total of 16 quizzes?
Answers
Answer:
4 weeks
Step-by-step explanation:
The number of weeks for a total of 16 quizzes will be 4 weeks.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Jacob took a total of 12 quizzes over the course of 3 weeks. The number of weeks for 16 quizzes will be calculated as below:-
12 quizzes = 3 weeks.
1 quizzes = 3 / 12 weeks
16 quizzes = ( 3 / 12 ) x 16 = 4 weeks
Therefore, the number of weeks for a total of 16 quizzes will be 4 weeks.
To know more about Expression follow
brainly.com/question/723406
#SPJ5
