Answer:
cupboard is 1.2 m wide.
Will a stick 1m 5cm long fit across the cupboard?
Give reasons for your answer
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x² - 2x + 3; ƒ(x) = −2x + 28
Answer: x = 5, -5
Step-by-step explanation:
mark brainist
Answer:
(5, 18) and (-5, 38)
Step-by-step explanation:
Equating the values of the function f(x) :
x² - 2x + 3 = -2x + 28x² + 3 = 28 [Cancelling out -2x on each side]x² + 3 - 3 = 28 - 3 [Subtracting 3 on each side]√x² = √25 [Taking square root on each side]x = ±5Taking x = +5 :
f(5) = -2(5) + 28f(5) = -10 + 28f(5) = 18Ordered pair = (5, 18)Taking x = -5 :
f(-5) = -2(-5) + 28f(-5) = 10 + 28f(-5) = 38Ordered pair = (-5, 38)The solutions are : (5, 18) and (-5, 38)
Ms. palmer has 1 1/2gallons of orange juice.
how many servings of juice can she make, in cups?
Find the volume of the cylinder.
Either enter an exact answer in terms of 7 or use 3.14 for T.
6
units 3
Answer:
3.14×5(2)×6=471.24
Step-by-step explanation:
you have to take square of 5
A 6-ounce jar of modeling clay costs $4.20. What is the unit price?
Answer:
$0.70 per ounce
Step-by-step explanation:
Concepts + Application
The unit price of an object, in this case, is the total amount of money spent divided by how many ounces there are. We're given the total amount of money as $4.20 and the number of ounces as 6. Thus, we just divide 4.20 by 6.
Solution
4.20 ÷ 60.70$0.70 per ounce2 1/6 - (-8/3) + (-4 7/9) what does it eqaul i cant figure it out
Answer:
- 95/18
Step-by-step explanation:
1st you have to convert the mixed number to an improper fraction so 2 ×6 = 12 +1 = 13 and that together equals 13/6 same goes for the next take away the parentheses 13/6 - 8/3 - 4 7/9
then you have to do the same thing with the 1st fraction convert it 4 × 9 = 36 + 7 = 43 that equals together 43/9
lastly you have to calculate the difference 13/6 - 8/3 - 43/9 and that equals negative 95/18
by the way the 95 isnt a negative the fraction itself is
(8x) ³ in simplest radical form
Answer:
[tex]512x^3[/tex]
Step-by-step explanation:
[tex](8x)^3 = 8^3x^3 = 512x^3[/tex]
. How can you know if 2 shapes are congruent? Draw an example of 2 congruent triangles and label how you know.
Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate
What are congruent triangles?Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.
We can say that two triangles are congruent using these 5 rules:
1: SSS or the side, side, side rule, that means that we have two triangles with all three sides equal.
2. SAS or side, angle, side states that in the two triangles, two sides and the included angle are equal.
3. ASA or angle, side, angle states that in two triangles, the two angles and the included side are equal.
4. AAS or angle, angle, side states that we have two triangles where two angles and the non-included side are equal.
5. HL or the Hypotenuse Leg rule states that, if the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, then the two triangles are congruent.
Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.
Example:-From the diagram, given that:
AB = DE, BC = EF and ∠B = ∠E
Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate
Find out more on congruent triangles at:
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Using the digits 0-9, no more than once, complete the puzzle so that the sum of each side is equivalent.
Answer:
[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]
Step-by-step explanation:
[tex]\begin{matrix}a&e&b\\ f&&g\\ c&h&d\end{matrix}[/tex]
From the table,we can extract these equations:
a + e + b = a + c + f = b + g + d = c + h + d
a + e + b = a + c + f ⇒ e + b = c + f
b + g + d = c + h + d ⇒ b + g = c + h
[tex]\begin{Bmatrix}e+b=c+f\\ b+g=c+h\end{Bmatrix} \Longrightarrow g-e=h-f\Longrightarrow g+f=h+e[/tex]
2 + 3 = 4 + 1 then let’s consider :
e = 2 ; h = 3 ; f = 4 ; g = 1 ,which satisfies g + f = h + e
The table becomes:
[tex]\begin{matrix}a&2&b\\ 4&&1\\ c&3&d\end{matrix}[/tex]
From the equation b + e = c + f we get b + 2 = c + 4 then b = c + 2
If we consider c = 5 ⇒ b = c + 2 = 5 + 2 = 7
Then the table becomes
[tex]\begin{matrix}a&2&7\\ 4&&1\\ 5&3&d\end{matrix}[/tex]
Then a + 9 = d + 8 ⇒ d = a + 1
If we consider a = 8 ⇒ d = 9
[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]
I know it’s not perfect reasoning ,but it may help.
How do you find the quadratics
Answer:
Put all terms to the side of the equals side, and make sure there are none on the other side. That would be unbalanced if there were terms on the opposite side.
Factor out the problem.
Set each factor of the problem equal to zero.
Solve each new equation.
Check to see if it makes sense by putting your new equation into the original equation.
Mason randomly chooses a card from a standard deck or cards What is the probability that it is a face card given that it is a hearts
8 There are a combined 33 students who play a spring sport of track or
baseball. There are 3 more students on the track team than the baseball
team. How many students are on the track team? How many are on the
baseball team?
30
The number of students that are on the track team are 18.
The number of students that are on the baseball team are 15.
What are the linear equations that represent the question?a + b = 33 equation 1
a - b = 3 equation 2
Where:
a = number of students that are on the track teamb = number of students that are on the baseball teamHow many students that are on the baseball team?
Subtract equation 2 from equation 1
2b = 30
Divide both sides by 2
b = 30/2 = 15
How many students that are on the track team?
Subtract 15 from 33: 33 - 15 = 18
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Dalia has a jar with 6 red pencils and 4 green pencils. She will randomly pick two pencils without replacement. What is the probability that Dalia will pick two red pencils?
6/25
1/3
9/25
2/5
The probability that Dalia will pick two red pencils without replacement is 1/3.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Probability of picking two red pencils = 6/10 x 5/9 = 1/3
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Please help me find the answer to this problem.
Answer:
numerator - is 2, 15, 18, 6
denominator - is 12, 14, 33, 8, 64
Step-by-step explanation:
2/10, 4/12, 8/14, 9/33, 1/8, 12/64, 15/55, 18/66, 6/32
Help im failing my math class
Answer:
88 m^2
Step-by-step explanation:
We can split the parallelogram into three shapes. 1 square and 2 triangles.
To find the area of a square, multiply one side by another side that does not face it. To find the area of a triangle, divide the base by half OR multiply the base by 0.5, and then multiply by the height.
Since these shapes are all pieces of the parallelogram, add together their total areas to get the area of the parallelogram.
Square: 7 x 8
Triangle: 0.5 x 4 x 8 or 4/2 x 8
(7 x 8) + 2 x (0.5 x 4 x 8)
56 + 2 x (2 x 8)
56 + 2 x 16
56 + 32
56 + 32 = 88 m^2
A student collecting money for a charity is donating $12 of his own money. He asks friends to give $5 each. Write a rule in function notation to find how much he will donate in all. Let p represent then number of friends who give money.
a. f(p) = 12p + 5
b. f(p) = 12 + 5p
c. f(p) = 12 + 5 + p
d. (p) = 17p
Find the probability.
A cooler contains fifteen bottles of sports
drink: five lemon-lime flavored, five
orange flavored, and five fruit-punch
flavored. You randomly grab a bottle for
your coach, a bottle for your friend, and a
bottle for yourself. Your coach and your
friend get orange. You get a fruit-punch
Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 15 bottles.
5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.The probability of the three outcomes occurring is given by:
[tex]p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366[/tex]
0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.
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find the perimeter and the area of the figure and round answers to the nearest tenth
Answer:
Perimeter = 55.1 ftArea = 236.6 ft²Step-by-step explanation:
Perimeter
2(4) + 2 x 3.14 x 7.58 + 15 x 3.148 + 47.155.1 ftArea
15 x 4 + 3.14 x (7.5)²60 + 3.14 x 56.2560 + 176.625236.6 ft²Find the size of the final unknown exterior angle in a polygon whose other exterior angles are: 51°, 75°, 38°, 47°, 65° and 52º
Translate the phrase into an algebraic expression.The product of 4 and b
Answer:
the answer is 4×b=4b
Step-by-step explanation:
product=×
4×b=4b
A survey of birds in Forests A and B counted the number of robins and sparrows. Use the resulting frequency table to find each percentage.
Robins Sparrows Totals
Forest A 9 16 25
Forest B 36 64 100
Totals 45 80 125
percent of birds in Forest B that are robins =
%
percent of sparrows that are in Forest A =
%
percent of birds that are in Forest A =
%
Answer:
36%20%20%Step-by-step explanation:
Percentage of birds in Forest B that are robins :
No. of robins in Forest B / birds in Forest B36 / 1000.3636%Percentage of sparrows that are in Forest A :
Sparrows in Forest A / total sparrows16 / 800.220%Percentage of birds in Forest A :
Birds in Forest A / Total birds25 / 1250.220%Answer:
36%
20%
20%
Step-by-step explanation:
Percentage of birds in Forest B that are robins :
No. of robins in Forest B / birds in Forest B
36 / 100
0.36
36%
Percentage of sparrows that are in Forest A :
Sparrows in Forest A / total sparrows
16 / 80
0.2
20%
Percentage of birds in Forest A :
Birds in Forest A / Total birds
25 / 125
0.2
20%
Please help ASAP
Will mark as brainliest answer
Answer:
i hope this will help you
Answer:
a = 1b = √15Step-by-step explanation:
An equation is solved for one of the variables by undoing the operations done on that variable. Here, we can solve for 'a' and solve for 'b' to find the desired values.
__
value of aSolve for 'a', then substitute the value of 'b'.
[tex]\sqrt{9a}=\dfrac{b^2-3}{2}\\\\9a=\left(\dfrac{b^2-3}{2}\right)^2=\dfrac{(b^2-3)^2}{4}\\\\a=\dfrac{(b^2-3)^2}{36}=\dfrac{((-3)^2-3)^2}{36}=\dfrac{6^2}{36}\\\\\boxed{a=1}[/tex]
__
value of bSolve for 'b', then substitute the value of 'a'.
[tex]\sqrt{9a}=\dfrac{b^2-3}{2}\\\\2\cdot3\sqrt{a}=b^2-3\\\\6\sqrt{a}+3=b^2\\\\b=\sqrt{6\sqrt{a}+3}=\sqrt{6\sqrt{4}+3}=\sqrt{12+3}\\\\\boxed{b=\sqrt{15}}[/tex]
this is from 7th grade
Answer:
3, 4
Step-by-step explanation:
The expanded form of the given product is found using the distributive property. An equivalent form can be found using the commutative property of multiplication.
__
7(2 -3n) = 7(2) +7(-3n) = 14 -21n . . . . . . . matches 3
Swapping the factors gives ...
7(2 -3n) = (2 -3n)·7 . . . . . . . . . . matches 4
__
About the other choices
1. The value is not the same as 14 -21n. It appears to have been the result of (more or less) adding 7 to the coefficients inside parentheses.
2. It is a common mistake to eliminate parentheses after applying the outside factor to the first term only. That seems to be what happened here. The distributive property says you apply the factor to all the terms inside parentheses.
5. The sum of terms (2 -3n) has been incorrectly replaced by the product of terms (2)(-3n).
what would be 3/4 of 960.
Answer:
720
Step-by-step explanation:
Three-fourths of 960 are simply three fourths times 960, which can be written as follows:
Three/fourths x 960
Furthermore, you can convert "three" to "3" and "fourths" to "4" and then the equation and answer are:
3/4 x 960 = 720
The midpoint of AB is (3,2). If point is is located at(8,4) what are the coordinates of point B
Step-by-step explanation:
8-3 = 5,
3-5 = -2 = the x coordinate of B
-2-4 =-6,
-2-6 =-8 = the y coordinate of B
(-2,-8) is the point B
A is 5 to the right of the midpoint, so B is 5 to the left of the midpoint
A is 6 up from the midpoint so B is 6 down from the midpoint
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Tyler concludes that 5x² will always have a larger output for the same value of x.
Look at the graph below and the table given
Take a random value: x = 0
When 5x², y = 0When 2^x, y = 1Here, 1 > 0, making 2^x > 5x²
Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.
Disagree with Tyler's point.
No it won't be
Take x =9
2^x=2^9=512But
5(9)²=5(81)=405Clearly 2^x surpasses 5x²
So Tyler is wrong
(8 x 3) x 6 = 8 x (3 x 6) is a true statement. Which multiplication property is this an example of?
Associative property
Step-by-step explanation:Multiplication properties are different statements that are always true. These statements help prove that different operations can be performed on equations and still remain equal.
Associative Property
The associative property states that (a x b) x c = a x (b x c). This means that in any equation where only multiplication is present, the parentheses can be moved and the equation remains equal.
Other Examples
The associative property is always true; this means that we can create other examples.
Let's take the expression 4 x (2 x 9). As the property states, we can move the parentheses and create the new expression (4 x 2) x 9. Now we can set these expressions equal to each other.
4 x (2 x 9) = (4 x 2) x 9Due to the property we know that this equation must be true.
We can prove this property by working out each side of the equation. If we multiple both sides out we are left with 72 = 72. Since this is true the equation above must also be true.
Answer:
Step-by-step explanation:
It's called The Associative Property of Multiplication
(a * b) * c = a * (b * c)
Help please I don’t understand.
Multiply and simplify: (1 + 5i)(3 - 8i)
Answer:
43 + 7i
Step-by-step explanation:
Given: (1 + 5i)(3 - 8i)
To find: Multiplication and simplification
Solution:
i=[tex]\sqrt{-1}[/tex],
Now, we simply open the brackets as follows:
(1 + 5i)(3 - 8i)
1(3 - 8i) + 5i (3 - 8i)
3 - 8i + 15i - 40[tex]i^{2}[/tex]
3 + 7i - 40[tex]i^{2}[/tex] - (i)
[tex]i^{2}[/tex] = i * i
[tex]i^{2}[/tex] = [tex]\sqrt{-1}[/tex] * [tex]\sqrt{-1}[/tex]
[tex]i^{2}[/tex] = -1
Now, put [tex]i^{2}[/tex] = -1 into the equation (i)
we get
⇒ 3 + 7i -40(-1)
⇒ 3 + 7i + 40
⇒ 43 + 7i
∴ Final Answer : 43 + 7i
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
what we need to know here is that :
[tex]\qquad \sf \dashrightarrow \:i \cdot i = - 1[/tex]
Now, let's proceed accordingly ~
[tex]\qquad \sf \dashrightarrow \:(1 + 5i) \cdot(3 - 8i)[/tex]
[tex]\qquad \sf \dashrightarrow \:(1 \cdot3) - (1 \sdot8i) + (5i \cdot3) - (5i \cdot8i)[/tex]
[tex]\qquad \sf \dashrightarrow \:3 - 8i + 15i - ( - 1)(40)[/tex]
[tex]\qquad \sf \dashrightarrow \:3 + 7i - ( - 40)[/tex]
[tex]\qquad \sf \dashrightarrow \:3 + 40 + 7i[/tex]
[tex]\qquad \sf \dashrightarrow \:43 + 7i[/tex]
Evaluate the expression.
7^0
Answer:
Heyyy!!!!
The answer is 1.
Please read explanation it will definitely help you....
Step-by-step explanation:
Okay... Here it goes...
Basically, there is an exponent rule that says that anything to the power of 0 is 1.
I hope this helps!
Answer:
7^0 = 1
Step-by-step explanation:
Anything that has an exponent of 0 is 1.
Select the correct answer. what are the solutions of this quadratic equation? 6x2 6 = 12x 18 a. b. c. d.
Answer:
A
Step-by-step explanation:
I don't think you asked this question right but I believe A is the answer to your question "What are the solutions of this quadratic equation? 6x2 + 6 = 12x + 18" (fixed)
if these are the options, then I think its A