A student answered 42 problems on a test correctly and received a grade
of 70%. How many (total) problems were on the test, if all the problems
were worth the same number of points?
Answers
Answer:
Step-by-step explanation:
x is the number of questions on the test.
42/x = 70%
x = 42/70% = 42/0.70 = 60
Related Questions
Evaluate the expression for x = 2.
7x =
Answers
Answer:
Step-by-step explanation:
x=2
so 7*2= 14
therefore the answer is 14
Answer:
x=27x
Step-by-step explanation:
x=27.x
find- x-?
x=27x
What are the positive and negative square roots of 3,600?
Answers
Answer:
60 and -60
Hope this helps! :)
What is the surface area?
Answers
A certain hybrid car can travel 1 9/11 times as far as a similar no hybrid car will on one gallon of gasoline . If the non hybrid car can travel 33 miles per gallon of gasoline, how far can the hybrid travel on 4/5 gallon of gasoline ?
Answers
On 4/5 gallon of gasoline, hybrid car will travel a distance of 48 miles.
How to solve Algebra Word Problems?Suppose, non hybrid car travel "x" distance in 1 gallon of gasoline
Then, hybrid will travel " 1 ⁹/₁₁ * x" distance in 1 gallon of gasoline
Given that, non hybrid car travel distance per gallon is; x = 33 miles per gallon
Then, hybrid car travel, 1 ⁹/₁₁ * x = 1 ⁹/₁₁ * x * 33 = 60 miles per gallon
On 1 gallon of gasoline hybrid car travel 60 miles
On 4/5 gallon of gasoline hybrid car will travel = 4/5 * 60 = 48 miles
On 4/5 gallon of gasoline, hybrid car will travel 48 miles of distance.
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the top of an electric pole is s supported by a wire of 26 ft long on the ground level. how far is tightened spot from the foot of the pole if its height is 24 ft?
Answers
Answer:
The tightened spot is 10 feet away from the foot of the pole.
Step-by-step explanation:
1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.
2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.
⭐What is the Pythagoras' Theorem?
\((C)^2 = (A)^2 + (B)^2\)An equation to find a 3rd side lengthC = hypotenuseA = one legB = another leg3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.
Let B= the distance from the tightened spot to the foot of the pole.
\((C)^2 = (A)^2 + (B)^2\)
\(26^2 = 24^2 + B^2\)
\(676 = 576 + B^2\)
\(100 = B^2\)
\(\sqrt{100} = \sqrt{(B)^2}\)
\(10 = B\)
∴ The tightened spot is 10 feet away from the foot of the pole.
Diagram:
Find the vector x determined by the given coordinate vector [x]B and the given basis B.
B = {[1 -3 1], [-3 8 3],[8 -2 3]}, [x]_B = [-3 -2 3]
a. [9 -13 0]
b. [0 -6 21]
c. [13 -24 -2]
d. [3 -13 16]
Answers
A common aspect ratio for computer screens today is width : height = 16 : 9. The advertised size of a screen is given by the measure of its diagonal. Measure the width, height, and diagonal of at least three screens (computers, tablets, phones) in your home. Are they similar? How do you know? Are any of your screens congruent? If so, what postulates prove it? List your measurements and describe your findings carefully.
Please follow these guidelines for your discussion posts:
Write at least 150–300 words.
Answers
A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.
How to explain the ratio?If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.
Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.
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A code consists of eight letters chosen from the 26 letters of the alphabet. What is the chance that any two of the letters are the same?
Answers
Answer:
1/26 or 0.039 (approximate to 3 decimal places)
Step-by-step explanation:
A code consists of 8 letters of the English alphabet (which comprises a total of 26 distinct letters). What is the chance or probability that any 2 letters of/in the code are the same?
An example of such code with a repeated letter is GREENMAN.
This word (code) has 2 letters that are the same and that's letter 'E'.
The probability that a letter in the code in question will appear twice depends on the frequency of appearance of that letter in the English alphabet set.
Now, no letter in the English alphabet set appears twice! Because of this, every letter in the English alphabet has an equal probability of being picked to form a code or word.
Hence, the chance that any letter from the alphabet will be repeated once in this code (same as saying the chance that any two letters of the code are the same) is 1/26 and that's equal to 0.03846 ≅ 0.039
Estimate the total of 56.213, 7.983, and 0.344 by rounding each value to the nearest hundredth
Answers
Answer:
64.53
Step-by-step explanation:
56.213 rounds to 56.21
7.983 rounds to 7.98
0.344 rounds to 0.34
Next you do 56.21 + 7.98 + 0.34 = 64.53
All the numbers after rounding each value to the nearest hundredth are 56.21, 7.98, and 0.34.
When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.
1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
Here, the question said the nearest hundredth, so I had to look at the value in the thousandth place.
Here the numbers are,
56.213
Since the value in the thousandth place is 3 which is less than 5.
Hence round the number down.
56.21
7.983
Since the value in the thousandth place is 3 which is less than 5.
Hence round the number down.
7.98
0.344
Since the value in the thousandth place is 4 which is less than 5.
Hence round the number down.
0.34
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If a data set is negatively skewed, which would be the best measure of spread? Select one:
Interquartile Range
Standard Deviation
Range
Answers
Answer:
Not real sure, but it should be Standard Deviation, if a data set is negatively skewed it would need a good measure for data spread.
Does anyone know how to do this? Please help!
Answers
So that would make the formula: (3.14)R^2-(3.14)r^2 = A
The only unknown variables that you need to find are the radii of the two circles
The smaller circle:
You are given the diameter, and the diameter is 1/2 the radius,
so r= 1/2(11.25) = 5.625
The larger circle:
You are given the width, which is the total added onto the diameter of the smaller circle so:
(11.25+3.75)/2=7.5
and now that you know R, you can plug into the equation found at the start: (3.14)R^2-(3.14)r^2 = A
(3.14)(7.5^2)-(3.14)(5.625^2)=A
A=176.71-99.35
A=77.36 ft^2
airplane C is traveling at different cruising speed
Answers
The statement that accurately compares the cruising speed of Airplane C to Airplanes A and B is D. The cruising speed of airplane C is less than the cruising speed of airplane A and greater than the cruising speed of airplane B.
How to find the cruising speed ?The cruising speed of A is :
= 6 / 1
= 6 miles per minute
The cruising speed of B is :
= 4 / 1
= 4 miles per minute
The cruising speed of C is :
= 27 / 6
= 4. 5 miles per minute
Airplane C is therefore going faster than Airplane B but not as fast as Airplane A.
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One of the legs of a right triangle measures 13 cm and the other leg measures
2 cm. Find the measure of the hypotenuse. If necessary, round to the nearest
tenth.
Answers
Answer:
13.2 cm
Step-by-step explanation:
Use Pythagorean Theorem
Hypotenuse^2 = (leg1)^2 + (leg2)^2
H^2 = 13^2 + 2^2
= 169 + 4
H^2 = 173
H = sqrt (173) = 13.2 cm
Bandhan Bank employee salary after 10 years
Answers
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
15 = -3(2c + d) (Solve for c)
Answers
Answer:
(15+3d)/6 = c
2 1/2 + 1/2d = c (more simplified)
Step-by-step explanation:
15 = -3(2c +d)
15 = -6c -3d
+3d +3d
15 +3d = -6c
/-6 /-6
(15+3d)/6 = c
2 1/2 + 1/2d = c
What is special about y coordinate that goes with the x coordinate of 1on a proportional gragh
Answers
Answer:
The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If tou remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.
Step-by-step explanation:
I majored in Mathematics
29.5 - 2.1 × (4.7 - 2.7)3 A. 219.2 B. 21.1 C. 12.7 D. 25.3
Answers
The expression is simplified to 25.3. Option D
What is BODMAS?BODMAS is simply a mathematical acronym which represents;
BracketOrderDivisionMultiplicationAdditionSubtractionNote that when carrying out mathematical operations, the order must be followed for a correct solution.
We have to simply the expression;
29.5 - 2.1 × (4.7 - 2.7)
solve the bracket
29.5 - 2.1 × ( 2. 0)
Multiply the bracket
29. 5 - 2.1(2)
29. 5 - 4. 2
25. 3
Thus, the expression is simplified to 25.3. Option D
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Three houses for of a bag of flour to make how many bags of flour does grandma need to buy if she is making 10 dozen cookies
Answers
If you meant 3 cookies for a bag of flour the answers 10
When the quadratic formula is applied to 2x^2 + 3x - 4 = 0, determine the numerator of thesimplified answer.
Answers
Given:
A quadratic equation is given as
\(2x^2+3x-4=0\)Required:
Apply quadratic formula
Explanation:
we have given hat
\(2x^{2}+3x-4=0\)now compare the given equation with
\(ax^2+bx+c=0\)and we get
\(\begin{gathered} a=2 \\ b=3 \\ c=-4 \end{gathered}\)the roots are given as
\(x=\frac{-b\pm\sqrt[\placeholder{⬚}]{b^2-4ac}}{2a}\)\(\begin{gathered} =\frac{-3\pm\sqrt{3^2-4*2*-4}}{2*2} \\ =\frac{-3\pm\sqrt[\placeholder{⬚}]{41}}{4} \end{gathered}\)Final answer:
\(\begin{gathered} x_1=\frac{-3+\sqrt[\placeholder{⬚}]{41}}{4},x_2=\frac{-3-\sqrt[\placeholder{⬚}]{41}}{4} \\ \end{gathered}\)A cube has a edge of 8 cm it is cur into two equal parts calculate the ratio of total surface area
Answers
Answer:
\(Ratio = 3: 2\)
Step-by-step explanation:
Given
Shape: Cube
\(L = 8cm\)
The surface area is calculated as:
\(Area = 6*L^2\)
\(A_1 = 6*8^2\)
\(A_1 = 384\)
When it is cut by half; the length is affected; so, it forms a cuboid of the following dimension:
\(L = \frac{8}{2} = 4\) --- Length
\(W = 8cm\) --- Width
\(H = 8cm\) --- Height
The surface area is:
\(Area = 2 *(L*W + H * L + W * H)\)
\(A_2 = 2 *(4*8 + 8 *4 + 8 * 8)\)
\(A_2 = 2 *128\)
\(A_2 = 256\)
So, the ratio of surface area is:
\(Ratio = A_1 : A_2\)
\(Ratio = 384 : 256\)
Divide by 128
\(Ratio = 384/128 : 256/128\)
\(Ratio = 3: 2\)
A 12 oz box of sugar costs $3.10 and a 36 oz box of sugar costs $7.90. Which box of sugar is the better buy?
Answers
Answer: 36 oz box
Step-by-step explanation:
3.1/12=0.258333
7.9/360.291444
Thus, the 36 oz box is the better buy
Use the table to work out the values of a, b, c, and d.
20
= 22 + 3
2
_3
2
2
a
1
b
0
-2
1
2
2
с
3
d
a =
b =
с
= d
Answers
Step-by-step explanation:
find the surface area
Answers
The surface area of the given sphere is 764.15 square inches.
Given that, the sphere has diameter = 15.6 inches.
Here, radius = 15.6/2 = 7.8 inches
We know that, surface area of a sphere is 4πr².
Now, surface area = 4×3.14×7.8²
= 764.15 square inches
Therefore, the surface area of the given sphere is 764.15 square inches.
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could you guys help me with all 3 pls
Answers
Answer:
1. -5×-5×-5=125
2. 35
3. 22
Step-by-step explanation:
I know the first two are right but unsure about last one.
Solve for p
5
-(p - 38)
Answers
Answer:
You can't solve for p with this particular equation but you can simplify it.
simplified expression:
-p+43
Step-by-step explanation:
Hope this helps. Plz give brainliest.
Please help solve this
Answers
Answer: ∞
Step-by-step explanation: First, find the indefinite integral F (x), and then evaluate F (∞)–F(– ∞).
I need help solving this
Answers
Given
Radius : 6 cmTo find
Area of the semicirclewe know that
Area of a semicircle = πr²/2Inserting the value of radius
Area of the given semicircle = (3.14 x 6cm x 6cm)/2 Area of the given semicircle = 113.04cm²/2 Area of the given semicircle = 56.5 cm²bridget is growing seven plants for her science project. here are the heights of the plants after four weeks. what is the mode?
Answers
Given the data:
Plant Height(Cm)
1 9
2 10
3 10
4 6
5 9
6 7
7 10
The mode of a data set is the value that occurs most frequently.
From the data above, the height that occurs most frequently is 10 cm.
Therefore, the mode is 10.
ANSWER:
what is the perimeter of this tile 6in 2in
Answers
Answer:
16in
Step-by-step explanation:
Most tiles a quadrilaterals meaning they have four sides, if it is 6in by 2 in, that means tou multiply both by two since there are two of each side length.
6 times 2 is 12
2 times 2 is 4
4 + 12= 16
Answer:
16 in
Step-by-step explanation:
Find the inverse of the function.
f(x) = 16 - 1/3 x
Answers
Answer:
f-¹(x) = 48 - 3x
Step-by-step explanation:
f(x) = 16 - ⅓x → x = 16 - ⅓y → ⅓y = 16 - x → y = 48 - 3x → f-¹(x) = 48 - 3x