Answer: its 73,000
Step-by-step explanation: the answer sheet has the answers...
a student answered 86% of the questions on a test correctly. he received a grade of 98%. how many questions were on the test?
Let the number of questions on the test equal X which would be 100%
They answered 86 which equaled 98
Set up a ratio:
X/86 = 100/98
Cross multiply:
98X = 8600
Divide both sides by 98:
X = 87.75
Round to 87 questions
1. Which of the following is equivalent to x5/2?
1
(1)
5x
2
(3) Vr
2x
(2)
(4) Vx?
Given that the expression in the question is [tex]\displaystyle x^{\frac{5}{2} }[/tex], the equivalent expression
can be found using the rules of indices.
[tex]\displaystyle \underline{x^{\frac{5}{2} } \ is \ equivalent \ to \ x^2 \cdot\sqrt{x}}[/tex]Reasons:
The given expression is [tex]\displaystyle x^{\frac{5}{2} }[/tex]
Required:
To find the equivalent expression
Solution:
According to the rules of indices, we have;
[tex]a^{n + m} = a^n \times a^m[/tex]
[tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]
Therefore, the above expression can be expanded as follows;
[tex]\displaystyle x^{\frac{5}{2} } = x ^{2.5} = \mathbf{x^{2 + 0.5}}[/tex]
[tex]\displaystyle x^{2 + 0.5} =\mathbf{ x^2 \times x^{0.5}}[/tex]
Which gives;
[tex]\displaystyle x^2 \times x^{0.5} = \mathbf{x^2 \times \sqrt{x}}[/tex]
Therefore;
[tex]\displaystyle x^{\frac{5}{2} } \equiv x^2 \cdot\sqrt{x}[/tex], which is the form [tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]
[tex]\underline{An \ expression \ \mathbf{equivalent} \ to \ x^\frac{5}{2} \ is \ x^2 \cdot \sqrt{x}}[/tex]
Learn more about the rules of indices here:
https://brainly.com/question/8959311
please help me asap
ty..
Answer:
Y = 10x + 20
Step-by-step explanation:
sorry if im wrong
Answer:
y = 2x - 4
Step-by-step explanation:
10x - 5y = 20
Subtract 10x both sides
-5y = 20 + (-10x)
Divide by -5
y = -4 + 2x
y = 2x + (-4)
Is the following statement true or false? If false, replace the bold word to make the statement
true.
A rhombus is an equiangular quadrilateral
Answer:
replace rhombus with square, or rectangle
Step-by-step explanation:
Round 0.1 to the nearest whole number.
Find the volume of the sphere. Use 3.14 for pi please help..
Answer and Explanation: The volume of the sphere is 1.44×10^6 cubic inches(to be specific, 1,436,755 cubic inches). The explanation, which is the formula for the volume of a sphere, is in the image.
Answer:
V≈1.44×106
Step-by-step explanation:
hope this helps
In the summer reading program, a participant earns 50 stars for reading 10 books. The library tracks the number of stars(y, vertical axis) and books ( x, horizontal axis) on a graph. Which statements are correct.
A: Point(5,1) Represents the unit rate
B: Point(1,5) Represents the unit rate
C: Point(0,50) Represents the unit rate
D: Point(100,20) Represents reading 20 books
E: Point(20,100)Represents reading 20 books
Please help, I will give you the brainliest answer
Answer:
C: Point(0,50) Represents the unit rate
Step-by-step explanation:
the area of a triangle is 162 square meters. the height is 18 meters. what is the base
Answer:
Triangle Area = (1/2) * base * height
base = 2 * Area / height
base = (2 * 162) / 18
base = 324 / 18
base = 18 meters
Step-by-step explanation:
I'm not sure if this s corrct. Can you guys check it for me?
Answer:
YUP!
Step-by-step explanation:
Let's take the 60 degrees angle first. 180-60=120
3x+x=4x
120/4=30
So you were right!
:))
Adam works for an agency.
His normal hourly rate is £8.32
The agency asks Adam to work 6 hours for a new company.
Adam will be paid time and a third of his normal hourly rate.
How much will Adam get paid in total when working for the new company
Adam receives 13.762 euros
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.
Given
Adam normally earns 8.32 an hour.
1. 832 * 6 = 10.992 for 6 hours
Adam will be payed = 8.32 *1/3 = 2.77
Total payment = 10.992 + 2.77 = 13.762
To learn more about division refer to:
https://brainly.com/question/12085148
#SPJ2
what is 8 1/5 as a improper fraction
Answer:
41/5
Step-by-step explanation:
So the answer is that 8 1/5 as a decimal is 8.2.
We convert it to an improper fraction which, in this case, is 41/5 and then we divide the new numerator (41) by the denominator to get our answer.
what is the meaning of the word treacherous mean in the sentence below
QUICK plzzzz
i-ready lvl F
Answer: Guilty of or involving betrayal or deception.
Step-by-step explanation:
Pablo has $5,483 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much will he have in 3 years?
(compound interest formu)
Answer:
$6347.26Step-by-step explanation:
Given:
Initial amount P = 5483Interest rate r = 5% or 0.05Compound number n = 1Time t = 3 yearsFind the total amount in 3 years:
[tex]A = P(1+r/n)^{nt}[/tex][tex]A = 5483*(1+0.05/1)^{1*3}=5483*(1.05)^3 = 6347.26[/tex]Here we've been given,
Principal amount (p) = $5843 Compound number (n) = 1 Rate of Interest (r) = 5% = 5 × 1/100 = 0.05 Time (t) = 3 years A = ?The standard formula for Compound interest (C.P) is given by,
[tex]:\implies\tt{A = p( { \frac{1 + r}{n} )}^{n \times t} } \\ \\ \\ :\implies\tt{A = 5483( { \frac{1 + 0.05}{1}) }^{1 \times 3} } \\ \\ \\ :\implies\tt{A = 5483 \times {1.05}^{3} } \\ \\ \\ :\implies\tt{A = 6347.26}[/tex]
A train accelerates at an average rate of 0.33 meter per second squared, and the
train starts from a complete stop. Find how long it will take the train to reach its
maximum velocity of 48 meters per second.
Pls someone help ASAP
Answer:
I don't know
Step-by-step explanation:
please mark me as the brainlist
4 more to go-2 + (-2) × -2 + (-2) ÷ -2
Let's se
-2+(-2)(-2)+(-2)/(-2)-2+(-2)^2+1-1+21Done!
The sum and difference of two positive numbers are 15 and 5 respectively. Find the numbers.
[tex]x+ y =15~~...(i)\\\\x-y = 5~~...(ii)\\\\\text{(i) +(ii):}\\\\x+y+x-y = 15+5\\\\\implies 2x = 20\\\\\implies x = \dfrac{20} 2 = 10\\\\\text{(i)-(ii):}\\\\x+y -x +y = 15 -5\\\\\implies 2y = 10\\\\\implies y=\dfrac{10}2 = 5\\\\\text{Hence the numbers are 10 and 5}[/tex]
Trey will be splitting 2 3/4 pies with himself and 5 friends. how much pie will each person get?
Answer: 11/24
Step-by-step explanation:I turned 2 and 3/4 into an improper fraction which got me 11/4.
There are 5 friends and him so that's 6 people.
So we can't do 11/4 divided by 6 so we must put 6 over 1.
So 11/4 divided by 6/1
Then we do "Keep Change Flip"
We keep 11/4
We change the division sign to multiplication
Then we flip 6/1 to 1/6
Then the problem is re wrote as:
11/4 times 1/6
And that equals 11/24 as your answer
So each person gets 11/24 of the pies.
Given that Ax - 4x² + 3x² + 4 = (x² - 2x + 1)(2x² + B) + C(x-1) + D for all values of x, evaluate A, B, C and D. Hence, deduce the remainder when Ar-4x+3x²+4 is divided by 2x² + B.
SANA MAKATULONG
#CARRYONLEARNING
Simplify 7 1/3t−(10 2/3t−6) pls
Answer:
[tex]-\frac{10t}{3}+6[/tex]
Step-by-step explanation:
[tex]7 \frac{1}{3}t-(10 \frac{2}{3} t-6)[/tex]
Convert [tex]7\frac{1}{3}[/tex] to a mixed number
[tex]7\frac{1}{3}=\frac{7\cdot 3+1}{3}[/tex]
[tex]=\frac{22}{3}[/tex]
[tex]\bold{\frac{22}{3}t-\left(10\frac{2}{3}t-6\right)}[/tex]
Convert [tex]10\frac{2}{3}[/tex] into a mixed number
[tex]10\frac{2}{3}=\frac{10\cdot 3+2}{3}[/tex]
[tex]=\frac{32}{3}[/tex]
[tex]\bold{\frac{22}{3}t-\left(\frac{32}{3}t-6\right)}[/tex]
[tex]=\frac{22t}{3}-\frac{32t}{3}+6[/tex]
[tex]\bold{=\frac{-10t}{3}+6}[/tex]
Terms
Follow the PEMDAS order of operation:
P = ParenthesisE = ExponentsM = MultiplicationD = DivisionA = AdditionS = SubtractionYou do these steps in the order for which the equation comes. For example, start with the exponents if there are not any parentheses.
2. List the like terms in each of the following:
i) 6a , 13b2 , -2a , 2a2 , -b2 , bc
i m not sure about the answer ...
f (x) = 3x - 2 - g (x) = 2x + 1
Answer:
Step-by-step explanation:
The answer is easy it’s 24
HELP PLEASE!!!!!!!!!!!!
A car travels at an average rate of speed of 60 miles per hour for 72 hours. How many miles does
this car travel?
Answer:
4320 miles
Step-by-step explanation:
distance= speed× time
60 ×72= 4320
what are some expressions that are equivalent to
–
2(5n).
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\large\text{Gu\textbf{id}\textsf{e}}\bf\downarrow[/tex]
[tex]\large\textbf{2 negatives = positive}\\\large\textbf{2 positives = positive}\\\large\textbf{1 negative \& 1 positive = negative}\\\large\textbf{1 positive \& 1 negative = negative}\\\\\large\text{Negatives are BELOW 0}\\\large\text{Positives are ABOVE 0}\\\\\large\textsf{Negatives are on the LEFT side of zero.}\\\large\textsf{Positives are on the RIGHT side of zero.}[/tex]
[tex]\huge\textsf{-2(5n) \boxed{\rightarrow} \bf -10n}\\\\\\\\\huge\boxed{\rightarrow\text{-2n + (-2n) + (-2n) + (-2n) + (-2n)}}\\\huge\boxed{\rightarrow \text{\bf -2n - 2n - 2n - 2n - 2n}}\\\huge\boxed{\rightarrow{\text{-4n - 2n - 2n - 2n}}}\\\huge\boxed{\rightarrow \text{-6n - 2n - 2n}}\\\huge\boxed{\rightarrow \text{\bf -8n - 2n}}\\\huge\boxed{\rightarrow \boxed{\text{ -10n}}}[/tex]
[tex]\huge\text{\bf -5(2n)}\\\huge\boxed{\rightarrow \text{-10n}}[/tex]
[tex]\huge\boxed{\text{\bf Therefore, your answers \underline{\underline{could}} be: }}\\\huge\boxed{\bullet \textsf{ -2n - 2n - 2n - 2n -2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -8n - 2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -5(2n)}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
At the beginning of the month you have $1500 in your bank account. Each time you visit the ATM you take $60 out. What is the rate at which your balance is changing each time you visit the ATM?
Group of answer choices
$3
-$60
$60
-$63
-$1500
-$3
For #8 and #9, fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.
9.
height = ________
b1 = 20 cm
b2 = 21 cm
area = 205 cm2
Applying the equation for the area of the trapezoid, it is found that the height is of 10 cm.
The area of a trapezoid is half the multiplication of the sum of the bases and the height, that is:
[tex]A = \frac{h}{2}(b_1 + b_2)[/tex]
For this problem, we have that: [tex]A = 205, b_1 = 20, b_2 = 21[/tex], hence:
[tex]A = \frac{h}{2}(b_1 + b_2)[/tex]
[tex]205 = \frac{h}{2}(20 + 21)[/tex]
[tex]20.5h = 205[/tex]
[tex]h = \frac{205}{20.5}[/tex]
[tex]h = 10[/tex]
The height is of 10 cm.
To learn more about area of a trapezoid, https://brainly.com/question/9918120
Answer:
The height of trapezoid is 10 cm.
Step-by-step explanation:
Given :
»» [tex]\rm{b_1}[/tex] = 20 cm»» [tex]\rm{b_2}[/tex] = 21 cm»» [tex]\rm{area}[/tex] = 205 cm²To Find :
»» Height of trapezoidUsing Formula :
[tex]{\star{\small{\underline{\boxed{\sf{\red{Area_{(Trapezoid)} = \dfrac{1}{2} \Big(b_1 + b_2\Big)h}}}}}}}[/tex]
✧ [tex]\rm{b_1}[/tex] = 20 cm✧ [tex]\rm{b_2}[/tex] = 21 cm✧ [tex]\rm{area}[/tex] = 205 cm²Solution :
Substituting all the given values in the formula to find height of trapezoid :
[tex]{\dashrightarrow{\small{\sf{Area_{(Trapezoid)} = \dfrac{1}{2} \Big(b_1 + b_2\Big)h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \Big(20 + 21\Big)h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \Big( \: 41 \: \Big)h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \times 41 \times h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{ 41}{2}\times h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{h = 205 \times \dfrac{2}{41}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{h = \cancel{205} \times \dfrac{2}{\cancel{41}}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{h =5 \times 2}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{h =10 \: cm}}}}[/tex]
[tex]{\star{\small{\underline{\boxed{\frak{\pink{h =10 \: cm}}}}}}}[/tex]
Hence, the height of trapezoid is 10 cm.
[tex]\rule{300}{1.5}[/tex]
HELP ME PLEASE I NEED HELPP
Answer:
4500 inches, check image below
Step-by-step explanation:
a swimming pool is drained at a rate of 50 gallons per hour. How many pints per minute is this?
Answer:
8
Step-by-step explanation:
Write an expression that is equivalent to 4(x + 1) - 7 (x + 3)
Answer:
-3x-17
Step-by-step explanation:
We need to expand this term by multiplying a term and an expression.
The following product distributive property will be used:
.
In our example, the resulting expression will consist of 2 terms:
the first term is a product of and .
the second term is a product of and .
Therefore, one expression that is equivalent to 4(x + 1) - 7(x + 3) is -3x - 17.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Plz, Help Me Quickly!!
I will mark Brainliest for the best answer.
Answer:
help you with what
Step-by-step explanation: