Answer:
Sarah answered 7 multiple choice questions and 3 free response questions correctly.
Step-by-step explanation:
Given that: she has 36 points.
3 points each for the multiple choice question (MCQ)
5 points each for the free response question (FRQ)
To determine how many of each question was answered correctly. Let the number of MCQ she answered be represented by x and FRQ by y.
3x + 5y = 36 ............ 1
Since she answered a total of 10 question, then;
x + y = 10
x = 10 - y ................ 2
Substitute equation 2 into 1,
3(10 - y) + 5y = 36
30 - 3y + 5y = 36
2y = 6
y = 3
Substitute the value of y in equation 2,
x = 10 - y
= 10 - 3
= 7
x = 7, y = 3
Therefore, Sarah answered 7 multiple choice questions and 3 free response questions.
What is (2 hundreds 3 tens)x 10 in standard form
Answer:
2300
Step-by-step explanation:
When you multiply by 10, each place value moves one to the left: hundreds become thousands, tens become hundreds.
(2 hundreds 3 tens) × 10 = 2 thousands 3 hundreds
In numbers (standard form), this is ...
230 × 10 = 2300
The customer service department resolved 106 of 120 customer
complaints in a one-hour time span. To the nearest thousandth, find the
resolve rate of the customer service department.
Answer:
______________________________
106/120 = .8833 complaints per hour i think.
______________________________
I NEED HELP ASAP PLEASE
Answer:
-3x^12y^-6
Step-by-step explanation:
The altitude of Mt. Everest is 884800cm. Find its height in meter
Answer:
8848 meters
Step-by-step explanation:
[tex]1 \: cm = 0.01\:m\\884800 = x \: m\\\\x = 884800\times 0.01\\\\x = 8848\:meters[/tex]
Answer:
The meter is the international system unit of length, here there are some conversions:
1km = 1000 meters1 hm = 100 meters1 dam = 10 meters1 m = 10 dm1 m = 100 cm1m = 1000 mmSo we know 100 cm are equal to 1 meter and we have to pass the 884800 centimeters to meters.
If 1 meter is equal to 100 centimeters, to pass from meters to centimeters we multiply by 100 and from centimeters to meters we divide by 100.
In this case, we need to pass from cm to m, so we divide by 100 the altitude:
884800/100 = 8848 meters
Vertical Compression of 1/3, right 2!!!
Answer!
Work backwards to find the factors from the roots, then multiply the factors together. f=x^2−7x/3+2/3
Does the letter C have any angles
6^2-3•4=? I’m confused on this so I would appreciate some help ;)
Answer:
24
Step-by-step explanation:
The most important thing to note here is that there are no parentheses defining what to do when.
Therefore, we have to use order of operations - PEMDAS, to find the expression's value.
PEMDAS states that the order you go in is:
1. Parentheses
2. Exponents
3. Multiplication/Division
4. Addition/Subtraction
[tex]6^2-3\cdot4[/tex]
There are no parentheses, so first we have to solve the exponent.
[tex]6^2=36\\\\36-3\cdot4[/tex]
Now we have to multiply.
[tex]36-12[/tex]
And now subtract.
[tex]24[/tex]
Hope this helped!
Answer:
6^2 - 3×4 = 24/1 = 24....
What is distributive 6(x+2)
Answer:
Distribute
6(x+2)
= 6×x+6×2
So 6x+12
help please. its due tonight Geometry!!
Answer:
D
Step-by-step explanation:
First, let's define each of the terms.
Scalene refers to triangles whose three sides and three angles all have different measures.
Isosceles refers to triangles who has two equivalent angles and sides.
Right triangles are triangles with one right angle.
So we know that the triangle has one 90 degrees and 2 45 degree angles.
In other words, this is an isosceles triangle.
And since it also contains a 90 degree angle, it means that the triangle is an isosceles right.
The answer is D
The product of two numbers is 90, and one of the numbers is n. What is the other number?
Answer:
Step-by-step explanation:
90/n
Determine the volume of a sphere with a great circle of radius 12 cm. Question 20 options: A) 3,216.9 cm3 B) 1,024 cm3 C) 7,238.2 cm3 D) 21,714.7 cm3
Greetings from Brasil...
The volume of a sphere is given by the expression:
V = (4πR³)/3where R = radius
So
V = (4πR³)/3
V = (4.π.12³)/3
V = (4.π.1728)/3
V = 6912π/3
V = 2304π cm³or
V = 7,238.23cm³
Show that the set of solutions of a second-order linear homogeneous differential equation is linearly independent.
{eax, xeax}, a ≠ b
Find the Wronskian for the set of solutions.
{eax, xeax}, a ≠ b
Answer:
The set of solutions are linearly independent because the wronskian is
e^(2ax) ≠ 0
Step-by-step explanation:
To show that the set of solutions {e^(ax), xe^(ax)} are linearly independent, we find the Wronskian of the set of solutions.
Wronskian of y1 and y2 is given as:
W(y1, y2) = y1y2' - y1'y2
y1 = e^(ax)
y1' = ae^(ax)
y2 = xe^(ax)
y2' = axe^(ax) + e^(ax)
W(y1, y2) = e^(ax)[axe^(ax) + e^(ax)] - ae^(ax).xe^(ax)
= (ax + 1)e^(2ax) - axe^(2ax)
= e^(2ax)
The wronskian of the given set of solutions is e^(2ax), which is not zero.
Because it is not zero, the set of solutions are linearly independent.
IM TIMED What is 3.71 simplified!!!!!!!
Answer:
if its asking for the tenths place its 3.7
if its asking for the ones place its 4
Step-by-step explanation:
Which is equivalent to 1.04?
Answer:
104%
Step-by-step explanation:
if it has to do with percentages
CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%. A Type I error would occur if CoStar concludes that the vacancy rate was
Complete Question
CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%. A type 1 error would occur if CoStar concludes that the vacancy rate was
A: not equal to 8% when, in reality, the proportion was equal to 8%
B: 8% or less when, in reality, the proportion was more than 8%
C: equal to 8% when, in reality, the proportion was 8% or less
D: more than 8% when, in reality, the proportion was 8% or less
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%.
Hence
The null hypothesis is [tex]H_o : p \le 0.08[/tex]
The alternative hypothesis is [tex]H_a : p> 0.08[/tex]
Generally type 1 error occurs when null hypothesis is rejected while it is true
So Type I error would occur if CoStar concludes that the vacancy rate was more than 8% when, in reality, the proportion was 8% or less
Can you help me withi this Question I’ll give you a brain list
Answer:
rhombus
Step-by-step explanation:
if you flip a rhombus(diamond) shaped sandwich over it is still shaped like a rhombus
hope i helped
A manufacturer knows that their items have a normally distributed length, with a mean of 8.8 inches, and standard deviation of 0.7 inches.
If one item is chosen at random, what is the probability that it is less than 8.2 inches long?
Answer:
0.1949
Step-by-step explanation:
Given a normal distribution with;
Mean(m) = 8.8 inches
Standard deviation (sd) = 0.7 inches
If one item is chosen at random, what is the probability that it is less than 8.2 inches long?
Find the Z-score :
x = 8.2 inches
Z = (x - m) / sd
Zscore = (8.2 - 8.8) / 0.7
Zscore = - 0.6 / 0.7
Zscore = - 0.857 = - 0.86
P(Z < - 0.86) :
From z distribution table :
P(Z < - 0.86) = 0.1949
If one item is chosen at random, there is a probability of 0.1949 that it will be less than 8.2 inches long.
A newspaper vendor sells three papers to 135 customers, the papers are the daily times, the observer and the new Nigeria. 70 customers buy the daily time, 60 the observer, 50 the new Nigeria, 17 buy both the daily times and the observer, 15 buy both the observer and the new time Nigeria, 16 the daily times and new Nigeria, how many customers brought (1) all the three papers
Answer:
3 customers brought all the three papers.
Step-by-step explanation:
Let, D, O and N represents the three newspapers.
D = The daily times
O = The observer
N = The new Nigeria.
According to the given information,
[tex]n(D\cup O\cup N)=135, n(D)=70,n(O)=60,n(N)=50[/tex]
[tex]n(D\cap O)=17, n(O\cap N)=15, n(D\cap N)=16[/tex]
We know that,
[tex]n(A\cup B\cup C) = n(A) + n(B) + n(C)-n(A\cap B)-n(B\cap C)-n(C\cap A) + n(A\cap B\cap C)[/tex]
Using this formula, we get
[tex]n(D\cup O\cup N) = n(D)+n(O) + n(N)-n(D\cap O)-n(O\cap N)-n(N\cap D) + n(D\cap O\cap N)[/tex]
[tex]135 =70+60+50-17-15-16 +n(D\cap O\cap N)[/tex]
[tex]135 =132+n(D\cap O\cap N)[/tex]
[tex]135 -132=n(D\cap O\cap N)[/tex]
[tex]3=n(D\cap O\cap N)[/tex]
Therefore, 3 customers brought all the three papers.
Solve for the base of a triangle where the height is 16cm and area is 104 cm2. What is the base?
Answer:
13cm
Step-by-step explanation:
104 × 2 = 208
208 ÷ 16 = 13cm
(13 × 16) ÷ 2 = 104cm²
Answer:
13 cm
Step-by-step explanation:
Area = 1/2×base×height
Formula for area:
S = 1.2bhSolving for b:
b = 2s/hb = 2*104/16 = 13 cmAnswer is 13 cm
Multiply the equation (–8)(7).
Answer:
-56
Step-by-step explanation:
It technically means -8 times 7.
Four friends want to take a vacation together, so each one gets a part-time job. Each person has 8 weeks to save $720 for the vacation. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving $720 for vacation.
Friend A: Works 13 hours per week at $6.95 per hour.
Friend B: Works 15 hours per week at $5.85 per hour.
Friend C: Works 18 hours per week at $5.25 per hour.
Friend D: Works 11 hours per week at $7.80 per hour.
Answer:
The correct answer is option A. A and C
Step-by-step explanation:
From the given situation above, here is the solution:
Friend A. 13 hours x $ 6.95 = $90.35 x 8 weeks = $722.80
Friend B. 15 hours x $ 5.85 = $87.75 x 8 weeks = $702
Friend C. 18 hours x $ 5.25 = $94.5 x 8 weeks = $756
Friend D. 11 hours x $ 7.80 = $85.8 x 8 weeks = $686.40
Therefore, the individuals who reached their goal of saving $720 for a vacation are friend A and friend C. The correct answer is option A. A and C.
Answer:
The correct answer is A. A and C
Step-by-step explanation:
Please help, will mark brainliest
Answer:
Q1: Communtative property of multiplication
Q2: Commutative property of addition
Step-by-step explanation:
Hope this helps!!!!!!!
A chord is 15 cm long. It is 9 cm from the center of the circle. What is the radius of the circle?
Answer:
11.72cmStep-by-step explanation:
Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.
Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);
hyp² = opp² + adj²
Let the opposite be the 9cm length
Adjacent will be half of the chord length = 15/2 = 7.5cm
Substituting this values into the formula we will have;
hyp² = 9² + 7.5²
hyp² = 81+56.25
hyp² = 137.25
hyp² = √137.25
hyp = 11.72
Hence the radius of the circle is approximately 11.72 cm long
3) A particular motorcycle is 9 ft long. A
model of it was built with a scale of 1 in :3
ft. How long is the model?
Answer:3 inches
Step-by-step explanation:
For every inch is 3 feet
9 feet ÷3 feet to 1 inch = 3 inches
Given the equation y = x – 2, you substitute 3 for y. Check all true statements below.
Answer:
its a, c and e and 2020 edge.
A truck can be rented from Company A for $120 a day plus $0.40 per mile. Company B charges $40 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer: 400 miles
Step-by-step explanation:
Let x= the amount of miles
120+0.4x=40+0.6x
80+0.4x=0.6x
80=0.2x
x=400
400 miles a day the rental cost will be same
Hope this helps!! :)
Please let me know if you have any question
Help me out plz! it’s an algebra 1 course.
Answer:
13x + 6
Step-by-step explanation:
5x + 2(4x + 3)
distribute the 2
2 • 4x = 8x
2 • 3 = 6
5x + 8x + 6
combine like terms
13x + 6
Answer:
Step-by-step explanation:
5x+2(4x+3)
=5x+8x+6
=13x+6
6. Find the areas of the rectangles with the following side lengths.
a. 5 in and 1/3 in
c. 5/2 in and 4/3 in
b. 5 in and 4/3 in
c. 2/5 in and 4/3 in
d. 7/6 in and 6/7 in
(a) Area of rectangle = 1.67 squares in
(b) Area of rectangle = 3.33 squares in
(c) Area of rectangle = 6.67 squares in
(d) Area of rectangle = 0.53 squares in
(e) Area of rectangle = 1 squares in
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
(a) Length of rectangle = 5 in and
Width of rectangle = 1/3 in
Area of rectangle = 5 × 1/3 = 5/3 = 1.67 square in
(b) Length of rectangle = 5/2 in and
Width of rectangle = 4/3 in
Area of rectangle = 5/2 × 4/3 = 20/6 = 3.33 square in
(c) Length of rectangle = 5 in and
Width of rectangle = 4/3 in
Area of rectangle = 5 × 4/3 = 20/3 = 6.67 square in
(d) Length of rectangle = 2/5 in and
Width of rectangle = 4/3 in
Area of rectangle = 2/5 × 4/3 = 8/15 = 0.53 square in
(e) Length of rectangle = 7/6 in and
Width of rectangle = 6/7 in
Area of rectangle = 7/6 × 6/7 = 42/42 = 1 square in
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
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NEED HELP ASAP FOR THIS MATH . Consider the statement.
*The difference of two rational numbers is an irrational number.*
Is the statement true or false? Justify your answer.
true; The difference of two rational numbers is a rational number, which is also an irrational number since all rational numbers are also irrational
numbers.
o false; Rational numbers are closed under subtraction: 4 - 3 = 1.
true; The difference of any two real numbers is an irrational number.
false; Only square roots can result in irrational numbers. Subtraction of any two real numbers results in a rational number.
Answer:
false; Only square roots can result in irrational numbers. Subtraction of any two real numbers results in a rational number.
Step-by-step explanation:
Rational numbers in any operation with a rational number except square rooting will result in a rational number.
Bicycles are often on sale in September. The regular price of one bicycle is $181.95. With a 20% discount, what is the sale price of the bicycle? Round to the nearest cent(hundredths).
Answer:
sale price = $145.56
Step-by-step explanation:
The regular price of one bicycle is $181.95
20% discount
sale price = original price - ( % discount x original price )
sale price = $181.95 - (0.20 * $181.95)
sale price = $181.95 - $36.39
sale price = $145.56