1. A student in an algebra course has test scores of 75, 82, 71, and 84. What score on the next test will raise the student’s average to 80?
Hey there! I'm happy to help!
We have 5 numbers that will give us an average score of 80.
75,82,71,84,x
What we do is add these all up and divide by 5 to get 80. Let's go backwards to find x.
We multiply by 5.
80(5)=400
We subtract all of the numbers except for x.
400-75-82-71-84=88
Therefore, the score on the next test has to be 88 to have the student's average be 80.
Have a wonderful day! :D
Chelsea wants to buy a new iPhone that costs $324. She
has already saved $56. If she can save $20 a week, how
many weeks will it take for her to be able to purchase the
iPhone?
Answer:
14 full weeks.
Step-by-step explanation:
The phone costs $324 and she saved $56, so we subtract $56 from $324.
$324 - $56 = $268
She saves $20 each week so we divide $268 by $20 to get the number of weeks.
$268/20 = 13.4
It will take 13.4 weeks, but we have to round up because at 13 weeks she won't have enough saved. So 14 full weeks.
ABC is an isosceles triangle. Solve for x. In your final answer, include all of the necessary calculations. You may include a sketch as part of your calculations.
Answer:
x= 105
Step-by-step explanation:
Let the unknown angle at the base be y. We know the base angles of an isosceles triangle are the same
The sum of the angles of the triangles are
30 + y +y = 180
30 + 2y = 180
2y = 180-30
2y = 150
y = 75
We know that x+y = 180 since it forms a straight line
x+75 =180
x = 180-75
x = 105
Answer:The abc conjecture It is stated in terms of three positive integers, a, b and c (hence the name) that are relatively prime and satisfy a + b = c. So a conjecture is like an educated guess.
If g(x)=2/3(x-4)^2, find x when g(x)=8
8 = 2/3(x - 4)^2
Take the sqrt of both sides
Sqrt(8) = 2/3(x - 4)
Divide each side by 2/3
(3 * sqrt(2)) = x - 4
Add 4 to both sides
(3 * sqrt(2)) + 4 = x
Brainliest is given to the correct answer!
As of July 2012, the world record for the 100 meter dash is held by Usain Bolt of Jamaica, who finished such a race in 9.572 seconds in Berlin, Germany, on August 16, 2009. Calculate Bolt’s average race speed in miles per hour. Show all work. Use a conversion rate of 1 mi ~ 1.609 km. Round to three decimal places.
Answer:
v = 23.370 mph
Step-by-step explanation:
It is given that,
The world record for the 100 meter dash is finished in 9.572 seconds in Berlin. We need to find the Bolt’s average race speed in miles per hour.
We know that,
1 mile = 1.609 km
or
1 mile = 1609.34 m
⇒ 100 m = 0.0621 miles
1 hour = 3600 seconds
⇒ 1 second = (1/3600) hour
Average speed = distance/time
So,
[tex]v=\dfrac{\dfrac{100}{1609.34 }\text{miles}}{\dfrac{9.572}{3600}\ \text{hour}}\\\\v=23.36963\ \text{mph}[/tex]
or
v = 23.370 mph
Hence, Bolt’s average race speed is 23.370 mph.
Put these numbers in order from least to greatest.-10, 4/25, -2/8
The answer is
-10, -2/8, 4/25
The library has 1,880 magazines. Each bin holds 8 magazines. How many bins does the
library need to hold all of its magazines?
bins
Submit
I don't kno
If an original conditional statement is represented using pq, which represents the converse?
~p -> ~q
~q -> ~p
q -> p
p -> q
Answer: q -> p
Step-by-step explanation:
just took the test
Can someone please help me understand this question!
Answer:
-1
Step-by-step explanation:
"Evaluate the expression for ..." means "put these numbers where these variables are and do the arithmetic."
[tex]\sqrt{b}+\dfrac{25}{a}=\sqrt{16}+\dfrac{25}{-5}\\\\=4-5=\boxed{-1}[/tex]
Ria was given $42.30 to babysit for 2.5 hours. How much did she get for one hour?
Answer:
$16.92
Step-by-step explanation:
Just divide 42.30 by 2.5 and it will give you the answer
Bernice rectangle workbook is 2/3 foot width and 5/6 foot long.what is the area of the page in her workbook.
Answer:
As a:
Fraction: 11/20
Decimal: 0.55
Percentage: 55%
Step-by-step explanation:
If your expression contains square roots, during which step of PEMDAS do you solve them? A parentheses B exponents C multiplication D division
Answer:
B
Step-by-step explanation:
Roots can also be represented as indicies (exponents) and thus should be treated like them. For example, square root could also be written as exponent 1/2.
When dealing with square roots in a equation, PEMDAS calls for this to be solved when you do B. Exponents
The root of a number is that number expressed exponentially by the root in inverted form. In other words, when you take something to its square root, you would be taking it to the inverse of 2 which is 1/2.
For instance:
√4 = 2 = 4¹/²
This means that you can then solve the square root when you deal with exponents which is the second step.
In conclusion, if you see an expression with square roots, PEMDAS allows you to solve it as an exponent.
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Which sum or difference is equivalent to the following expression? Start Fraction 5 minus 3 x over 5 End Fraction
Steps to solve:
5-3x/5
~Divide the numerator to the denominator
-3/5x + 1
Best of Luck!
What is the correct definition of the word bias? a. particular point of view b. a personal or unreasoned judgment c. to study in detail, or examine critically d. the capability of being believed; trustworthiness
Answer:
b. a personal or unreasoned judgment
Step-by-step explanation:
The answer is B because bias is basically something or someone that you favor over anything or anyone else. Or what you belving in your own opion.
As an example, our strong bias in favor for the idea, or a test biased towards people who are excellent at math.
Answer:
D
Step-by-step explanation:
if you don't believe me look up the definition
Samantha spent $22.50 on 9 gallons of gas. What was the price per gallon?
What is the area
this trapezoid?
6 m
1 m
3 m
5 m
o
A. 14 m2
O
B. 18 m2
O
C. 21 m2
O
D. 35 m2
Answer:
Area of the trapezoid = 18 m²
Step-by-step explanation:
Formula to calculate the area of a trapezoid is,
Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Where [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the trapezoid
And h = distance between the parallel sides
From the figure attached,
[tex]b_1[/tex] = 5 m
[tex]b_2[/tex] = (6 + 1) = 7 m
h = 3 m
By substituting these values in the formula,
Area of a trapezoid = [tex]\frac{1}{2}(5+7)3[/tex]
= 6 × 3
= 18 m²
Therefore, area of the given trapezoid is 18 m².
Write 3.79 as a mixed number.
Answer:
379/100
Step-by-step explanation:
IS THIS IT???
a machinist can produce 114 parts in 6 minutes. at this rate, how many parts can the machinist produce in 15 minutes
Answer:
285!
Step-by-step explanation:
First you have to find out how may parts are produced in a single minute.
We know that 114 parts are produced in 6 minutes so to find how may parts are made in one minute divide 114 by 6 and get an answer of 19
114÷6=19
Now to find how may parts are produced in 15 minutes multiply 19 (number of parts produdced in one minute) by 15 and get an answer of 285!
19×15=285
Hope this helped! :)
13 5 6 3 2. If g(x) = 16 for the function g(x) = 3x - 2, solve for the value of x.
need help solving please step by step
Replace g(x) with 16:
16 = 3x-2
Add 2 to both sides:
18 = 3x
Divide both sides by 3:
X = 18/3
X = 6
6.7z = 5.2z + 12.3 z=
Answer:
z = 8.2
Step-by-step explanation:
6.7z = 5.2z + 12.3
combine like terms by subtracting 5.2z from both sides
1.5z = 12.3
divide by 1.5
z = 8.2
Answer:
8.2
Step-by-step explanation:
5.2z+12.3=6.7z
12.3=6.7z-5.2z
12.3=1.5z
z=8.2
Simplify 4/8 divided by 3/-8 A: -32/21 B: -3/14 C: 3/14 D: 32/21
Answer:
- 1 1/3 which is none of the answers loll
Answer:
-1 and 1/3
Step-by-step explanation: negative one and one third
Find Scott's monthly payment.
PLEASE HELP!
What percent of the circle is shaded?
Can you also explain how to get the answer?
Answer:
C
Step-by-step explanation:
The answer is 30% because 2/5 of the circle is shaded.
Find projvu and projuv. Use the Euclidean inner product. u = (1, −1, −2), v = (1, 1, 2)(a) projvu(b) projuv
Answer:
Step-by-step explanation:
Given the vectors u = (1, −1, −2) and v = (1, 1, 2),
projection of u on v is expressed as [tex]proj_v u = \dfrac{u*v}{|v|^2}*v[/tex]
u.v = (1, −1, −2).(1, 1, 2)
u.v = 1(1)+(-1)(1)+(-2)(2)
u.v = 1-1-4
u.v = -4
|v| = √1²+1²+ 2²
|v| = √1+1+4
|v| = √6
|v|² = (√6)²
|v|² = 6
[tex]proj_v u = \dfrac{-4}{6}*(1,1,2)\\proj_v u = (\dfrac{-4}{6}, \dfrac{-4}{6}, \dfrac{-4}{3} )[/tex]
Similarly for projection of v on u;
[tex]proj_u v = \dfrac{u*v}{|u|^2}*u[/tex]
|u| = √1²+(-1)²+ (-2)²
|u| = √1+1+4
|u| = √6
|u|² = (√6)²
|u|² = 6
[tex]proj_u v = \dfrac{-4}{6}*(1,-1,-2)\\proj_u v = (\dfrac{-4}{6}, \dfrac{4}{6}, \dfrac{4}{3} )[/tex]
Consider the function f(x) = round(x), which rounds the input, x, to the nearest integer. Is this function one-to-one? Explain or justify your answer.
Answer:
No, it's not a one-to-one function
Step-by-step explanation:
Given
[tex]f(x) = round(x)[/tex]
Required
Determine if this function is one-to-one
I'll answer this question using the following illustrations;
Assume x = 4.6
[tex]f(x) = round(x)[/tex] would be
[tex]f(4.6) = round(4.6)[/tex]
[tex]f(4.6) = 5[/tex]
Also assume x = 4.8
[tex]f(x) = round(x)[/tex] would be
[tex]f(4.8) = round(4.8)[/tex]
[tex]f(4.8) = 5[/tex]
More generally;
[tex]4.5 \leq\ x\leq\5.4[/tex]
Would result in:
[tex]f(x) = 5[/tex]
Since, there's a always a possibility of f(x) having one value for various values of input x, then we can conclude that the function is not a one-to-one function
The function f(x) = round(x) is not one - to - one since different input values of X could yield the same output.
One - to - one functions refers to functions which yield a different output for every input value given. Since, the function rounds input values of x to the nearest integer ;This means that ; some input values of x would produce similar output.For instance :
Given that x = 1.4
f(x) = round(x)
f(1.4) = round(1.4)
Output = 1 ( nearest integer)
Thus output will be the same for all values of x greater than equal to 1 and less than 1.5 (1 ≤ x < 1.5)Since, different input values of X could yield the same the output, then the function is not one - to - one.
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Subtract 42.5 – 7.32
Answer:35.18
Step-by-step explanation:
Did this 7 years ago
The required value of 42.5 – 7.32 is 35.18.
Subtraction of 7.32 from 42.5 to be determined
Subtraction is defined as the value that should be reduced to the subtraction value.
Here, subtraction of 7.32 from 42.5,
⇒ 42.5 - 7.32
= 35.18
Thus, the required value of 42.5 – 7.32 is 35.18.
Learn more about subtraction here:
https://brainly.com/question/13619104
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The figures are similar. Find x
Answer: x=6.67
Step-by-step explanation:
Since these parallelograms are similar, we can use proportions to solve for x.
[tex]\frac{15}{9} =\frac{x}{4}[/tex] [cross multiply]
[tex]60=9x[/tex] [divide both sides by 9]
[tex]x=6.67[/tex]
Now, we know that x=6.67.
Answer:
20/3
Step-by-step explanation:
9/4=15/x
cross multiply and get:
9x=15x4
9x=60
divide both sides by 9 so
x=60/9 which when simplified is equal to 20/3
1. Let n be the number (in thousands) of fans who attend a Foo Fighiers concert. What does n = 25 mean in this situation?
Answer: 25,000 fans attend a Foo Fighters concert
Step-by-step explanation:
25 x 1000 = 25000
Round 874.902237102 to the nearest ten-thousandth.
Answer:
874.9022
hope this helps
The given decimal rounded to the nearest ten-thousandth is 874.9022.
What is the rounding off numbers?Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
The given decimal number is 874.902237102.
The decimal is rounded to the nearest ten-thousandth is 874.9022.
Therefore, the given decimal rounded to the nearest ten-thousandth is 874.9022.
To learn more about the rounding off numbers visit:
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Simplify the cube root in simplest radical form.
9x374
Please help
Answer:
D. [tex]xy\sqrt[3]{9y}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{9x^3y^4}[/tex]
[tex]\sqrt[3]{9}\sqrt[3]{x^3}\sqrt[3]{y^4}[/tex]
The [tex]\sqrt[3]{x^3}[/tex] cancels out to become x:
[tex]\sqrt[3]{9}x\sqrt[3]{y^4}[/tex]
Split the [tex]y^4=y*y^3[/tex]
[tex]\sqrt[3]{9}x\sqrt[3]{y^3}\sqrt[3]{y^1}[/tex]
[tex]\sqrt[3]{y^3} =y[/tex]
[tex]xy\sqrt[3]{9} \sqrt[3]{y}[/tex]
Put the cube root of y and cube root of 9 together:
[tex]xy\sqrt[3]{9y}[/tex]
