using the number 2, 4, 6 and 8 write an expression that equals 60
Answer:
(8-2)(4+6)
Step-by-step explanation:
1. (8-2)(4+6)
6x(4+6)
2. 6x10
3. =60
Figure A
Figure B
Which of the triangles in the two figures above is a right triangle? Explain your choice using
the Pythagorean Theorem to prove it. Note: the figures are not drawn to seale.
Figure B
Step-by-step explanation:The Pythagorean Theorem is [tex]a^2 + b^2 = c^2[/tex], where c is the longest side of the triangle (the hypotenuse).
To find the side length of each square, you have to square root the area of each square. This means that Figure A has side lengths of 3, 6 and 8 units. Figure B has side lengths of 5, 12 and 13 units.
In Figure A, if the triangle is right-angled, the equation [tex]3^2 + 6^2 = 8^2[/tex] must be correct. 9 + 36 = 45. 45 is not equal to 64, so the triangle is not right-angled.
In Figure B, if the triangle is right-angled, the equation [tex]5^2 + 12 ^2 = 13^2[/tex] must be correct. 25 + 144 = 169. 169 is 13 squared, so the triangle is right-angled.
Alternatively, as you are already given the square values for each side length, there is no need to square root and square again. You can just test if the two smaller areas equal the larger area, but the explanation above uses a more detailed example of the Pythagorean Theorem.
182 divided by 7 step-by-step
Answer:
26 is the quotient
Step-by-step explanation:
7 * 26 = 182
im not good at explaining but that's the answer
A right triangle has an X exterior angle with a measure of 142° . Can you determine the measures of the interior angles? Explain.
=======================================================
Explanation:
The exterior angle of 142 leads to an interior angle of 180-142 = 38. The adjacent interior/exterior pair of angles always add to 180. So 38+142 = 180. These two angles are supplementary, which is another way of saying they form a straight line.
Since 38 is one of the acute interior angles, the other acute interior angle is 90-38 = 52. The rule is that the acute interior angles of any right triangle always add to 90 degrees (i.e. the angles are complementary).
Lastly, the remaining interior angle is the 90 degree angle itself. All right triangles have exactly one angle that is 90 degrees. The term "right angle" is often used in place of "90 degree angle".
Viviana sells handmade necklaces for $12.50 and bracelets for $10.50. On Tuesday,
she sold 24 pieces of jewelry and made $288. How many of each type of jewelry did
she sell?
x= Necklaces
y= Bracelets
Answer:
brainlest = answer
Step-by-step explanation:
4/5 x 2/35 I need help pls!
Answer: 8/175
Step-by-step explanation:
Answer: 8/175
Step-by-step explanation: to multiply fractions, multiply both numerators first then the denominators.
4x2=8
35x5=175
can you convert the following
1/8 to decimal and percent
and show work
Answer:
0.125 as a decimal and 12.5% as a percentage
Step-by-step explanation:
1 divided by 8 to get decimal and for percent take the value and multiply it by 100
PLEASE ANSWER QUICK
What is the domain of f?
Answer:
-7 ≤ x ≤ 7
General Formulas and Concepts:
Algebra I
Coordinate Planes
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph we can see that our x values span from -7 to 7. Since both are closed dot, they are inclusive in our domain:
[-7, 7] or -7 ≤ x ≤ 7
Answer:
A -7<=x<=7
Step-by-step explanation:
Domain is the set of x values which fulfill the function. We can tell from the graph that the x values start from -7 and last to 7. therefore the domain is A
A modern sculpture in a park contains a parabolic arc that
starts at the ground and reaches a maximum height of 10 feet after a
horizontal distance of 4 feet. Write a quadratic function in vertex form
that describes the shape of the outside of the arc, where y is the height
of a point on the arc and x is its horizontal distance from the left-hand
starting point of the arc.
Using the vertex form, the equation of the parabola is given by:
[tex]y = a(x - 4)^2 + 10[/tex]
The equation of a parabola, with vertex (h,k), is given by:
[tex]y = a(x - h)^2 + k[/tex]
In which a is the leading coefficient.
In this problem, it reaches a maximum height of 10 feet after a horizontal distance of 4 feet, hence, the vertex is (4,10), that is, [tex]h = 4, k = 10[/tex]. Then, the equation for the parabola is:
[tex]y = a(x - 4)^2 + 10[/tex]
A similar problem is given at https://brainly.com/question/15165354
please i need help i will give 60 point
and show work
Answer:
1) 1 1/4
2) 1 3/5
3) 1
4) 2 7/8
5) 1 1/8
6) 1/3
7) C
8) B
9) C
10) A
11) B
12) B
Step-by-step explanation:
Hope this helps fr
Pls Help! Will Mark Brainliest!!!
Step-by-step explanation:
it is a bit unclear to me how the cups are stacked on each other.
are we building a pyramid or is it really just one line of cups stacked into each other ? the equation suggests the latter. so, I will continue with that assumption.
then each additional cup really adds only the height of the rim to the total height of the cup tower.
so, we want to find out for what smallest x is the equation delivering as y value 32,400 or more.
32,400 = 2.4x + 13.6
let's get rid of the decimals by multiplying everything by 10.
324,000 = 24x + 136
323,864 = 24x
x = 323,864/24 = 13,494.33333...
so, we need 13,495 cups to reach its height (just rounding it to 13,494 would still leave a tiny gap, so we need the 13,495th cup - there is no way to reach the height exactly).
Her little sister's birthday is next week, so Erin is planning a bubble-themed birthday party!
She buys a big bottle of bubble solution and divides it equally among 8 small bottles. Each
small bottle holds
1
of a gallon of bubble solution.
16
Use an equation to find the amount of bubble solution in the big bottle.
To write a fraction, use a slash (/) to separate the numerator and denominator.
Answer:
The answer and solution is in the picture
An equation is formed of two equal expressions. The equation that can represent the amount of solution in a small bottle is x=y/8.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the bubble solution in the small bottle be represented by x, while the amount of solution in the big bottle is represented by y. Since the sum of the solution of 8 small bottles is equal to a big bottle. Therefore, the equation can be written as,
The amount of solution in the big bottle) = (Amount of solution in a small bottle)×8
y = 8x
x = y/8
Hence, the equation that can represent the amount of solution in a small bottle is x=y/8.
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If F(x) = x-7 and G(x) = x³, what is G(F(x))?
Answer: [tex]G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]
===================================================
Work Shown:
[tex]G(x) = x^3\\\\G(F(x)) = \left(F(x)\right)^3\\\\G(F(x)) = \left(x-7\right)^3\\\\G(F(x)) = \left(x-7\right)\left(x-7\right)^2\\\\G(F(x)) = \left(x-7\right)\left(x^2-14x+49\right)\\\\G(F(x)) = x\left(x^2-14x+49\right)-7\left(x^2-14x+49\right)\\\\G(F(x)) = x^3-14x^2+49x-7x^2+98x-343\\\\G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]
Use the formula for the perimeter of a rectangle, P = 2 l + 2 w, where P is the perimeter, l is the length, and w is the width.
Answer:
The perimeter of the tabletop is 152 inches
Step-by-step explanation:
So if P = 2L + 2W we have to do
(2*48) + (2*28)
So
96 + 56 = 152
4. Find a polynomial function of degree 3 with the given zeros. Write your answer in the form:
Ax) = ax + bx² + cx+d
x= -2, x=-1, x=2
Answer:
I'm assuming the equation "Ax) = ax + bx² + cx+d" is really meant to read:
A(x) = ax^3 + bx² + cx+d
A(x) = x^3 + x^2 -4x -4
Step-by-step explanation:
(x+2)*(x+1)*(x-2) [This reflect the fact that x= -2, x=-1, x=2 all result in a zero]
Multiply this out to get A(x) = x^3 + x^2 -4x -4
The elevators in an office building have been approved for a maximum load of 3,600 pounds.
Can the elevator hold a weight of exactly 3,600 lbs? If w = weight in elevator, what should the inequality look like?
Plz help thx.
Answer:
w [tex]\leq[/tex] 3,600
Step-by-step explanation:
[tex]\leq[/tex] means less than or equal to.
put a factor back into the square root.
[tex]3 \sqrt{2a}[/tex]
Answer:
sqrt(18a)
Step-by-step explanation:
3^2=9
2*9=18
sqrt(18a)
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The factor that can be put back into the square root is 9.
√(2 x 9 x a) = √(18a) = 3√(2a)
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3√(2a)
A factor that can be put back into the square root is 9.
√(2 x 9 x a) = √(18a) = 3√(2a)
3² = 9
Thus,
The factor that can be put back into the square root is 9.
√(2 x 9 x a) = √(18a) = 3√(2a)
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the initial number of bacteria in a culture is 12,000. the xulture doubles each day write an exponential functin to model the population Y of bacteria after X days Which will be used to determine how many bacteria are present after 15 days
Answer:
Step-by-step explanation:
The equation would be y=12000(2)ˣ.
This equation is of the form y=a*bˣ, where a is the initial population and b is the rate that it increases by. In this problem, a = 12000 and b=2, since it doubles each time.
brainlest
Which expression is equivalent to 56+23m+12−16m?
Answer:
Step-by-step explanation:like like l'ike m y vieo9dsssssssss
The equivalent expression is 7m + 68
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the expression be A = 56 + 23m + 12 - 16m
Adding the like terms in the equation , we get
A = ( 56 + 12 ) + ( 23m - 16m )
On Simplifying , we get
A = 68 + 7m
A = 7m + 68
Hence , the required solution is 7m + 68
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The radius of a circle is 5 inches. What is the diameter? What is the circumference
Answer:
10 in
10\pi
Step-by-step explanation:
Diameter = 2× radious
[tex]c = 2 \times \pi \times r = 2\pi \times 5 = 10\pi[/tex]
What is the equation of the parabola? If correct will award brainliest, scam answers will be reported!
Answer:
Equation of parabola: y = a(x-h)2 + k or x = a(y-k)2 +h, but the simple version is y2 = 4ax.
Step-by-step explanation:
The value of U.S exports to China increased from $1480 million in 2011 to $2768 million in 2012. What was the percentage increase?
Answer: Percentage increase is 87.02%.
Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.
a. Subtract value in 2012 from value in 2011
b. Divide the answer in part a by value in 2011.
c. Multiply the answer in part b by 100.
We have the percentage increase.
mark brainliest pls
what is the common denominator of 5/8 and 1/6? need answers ASAP
Answer:
48 & 24
Step-by-step explanation:
6×8 and 8×6 will get you 48
6×4 and 8×3 will get you 24
John earned $12 a day for babysitting his siblings after school each weekday (he did not babysit on weekends). He liked to have a small amount of money to spend on treats at the school canteen that his parents refuse to buy, but he also wanted to build up some savings. John decided to put a fraction of his earnings into a jar straight away. He spent all the rest on canteen treats.
How much money did John earn over a nine week term?
After 9 weeks, John had $378 in his jar. What percentage of his money did he save?
Answer:
He earns $540
70% of his money went to savings
Step-by-step explanation:
9 weeks x 5 days a week = 45 days
45 days x $12 a day = $540
378 * 100 / 540 = (378*100) / 540 = 37800/540 = %70
(-5)^-2
Please help me
Answer:
0.04
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
don't want to write it
Which number has a prime factorization of 2x2x5x5x7x7
Answer:
4900
Step-by-step explanation:
multiply all those numbers together
2x2x5x5x7x7 = 4900
WILL MARK AS BRAINLIEST
There are six cookies and four friends want to share them how much will it be
Answer:
1.5 each friend
Step-by-step explanation:
6 divided by 4 = 1.5
Please translate each algebraic expression to English phrase
1. x - 8
2. 13 + 2y
3. 4 ( x+ 5)
4. 7x
5. m + 6
HELP HELP HELPP PLEASEDEEEE
what is 16% x 19
SHOW WORK PLEASEEEEEEE PLS PLS PLSSSSSSSS
Answer:
3.04
Step-by-step explanation:
16% is 0.16. Multiply 0.16 * 19 to get 3.04
Answer:
this last answer will come 304
