Answer:
24 problems
Step-by-step explanation:
equation: 80/100 = x/30
cross multiply: 100 * x = 80 * 30
multiply: 100x = 2400
divide each side by 100: x = 24
24 problems
I hope this helped, please mark Brainliest, thank you !!
The problems on the test the student got correctly is 24.
Percentage can be described as a fraction of a number expressed as a number out of hundred.
80% of the questions were gotten correctly.
Number of questions gotten corrected = percentage gotten currently x number of questions
80% x 30
= 0.8 x 30 = 24.
To learn more about percentages, please check: https://brainly.com/question/92258?referrer=searchResults
2^?=1/8
What is the question mark
Answer:
3 is the question mark my friend u just have to simply
Answer:
-3
Step-by-step explanation:
2^x = 2^-3
x= -3
i hope this helps !!
Find the slope of the line that passes through (4, 6) and (1, 10).
Answer:
given us,
(x1y1) = (4,6)
(x2y2)= (1,10)
here
slope= (y2-y1)/ (x2-x1)
= (10-6)/ (1-4)
= 4/ (-3)
Step-by-step explanation:
4/ (-3)
Which experesion is equivalent to 5 to the 6th power
Answer:
15625 is 5 to the power of 6.
You didn't give your answer choices, so I will assume you are referring to the answer.
Step-by-step explanation:
If c = the number of cars in a parking lot, which algebraic expression
represents the phrase below?
the sum of the number of cars and 9
A. C+9
O O
B. 90
C. C-9
O
o D.
SUBMIT
Answer:
c+9
Step-by-step explanation:
Key word SUM means addition
A fox can run at a rate of 62 miles in 2 hours. A rabbit can run at a rate of 22 miles in 30 minutes. Which animal has the faster speed in miles per hour?
Answer:
The rabbit is faster, as it has a speed of 44 mph.
Step-by-step explanation:
Since the fox runs 62 miles in 2 hours, its speed can be determined by dividing the miles traveled by the time it took to do so. Thus, since 62/2 equals 31, its speed was 31 miles per hour.
In turn, the rabbit can travel 22 miles in half an hour. Following the same procedure, since 22 / 0.5 equals 44, its speed is 44 miles per hour.
Therefore, the rabbit is faster than the fox, since it has a speed of 44 mph versus 31 mph for the latter.
y
3
2
A++
-4 -3
> 2
4
-2
-1
1 2
3
-1 +
-2 +
-3+
-4
What is the slope of the line?
Answer:
Negative 3 plus:) hope this helps!
if x = -1, then which of the following equations makes a true statement
4x+9=20
-4x-5=-15
-3x+15=18
-5x-15=-22
Mark bought an electronic tablet on sale for 1 fourth off the original price of $825.00. He also wanted to use a coupon for 1 fifth off the sales price. How much did Mark pay for the tablet?
The sum of two numbers is 20. One number is 26
more than the other one. Find the numbers.
Answer:
-3 and 23
Step-by-step explanation:
Adding -3 and 23, you get 20. On a number line, 23 is 26 places from -3.
A teacher asked the class to solve the equation 3(x + 2) = 21. Robert wrote 3x + 6 = 21 as his first step. Which property did he use?
Answer:
He used the distributive property
Answer:
Robert used the distributive property.
Step-by-step explanation:
3(x + 2) = 21 <------- is the original equation.
3x + 6 = 21 <------- is Robert's first step.
Distributive property is a property that states that multiplying the constant by the numerical values/variables in the parentheses will equal the same as multiplying the consonant by the values added together.
Robert multiplied 3 times "x" and "2." This is the distributive property.
I hope this helps! :)
find dy/dx of y=csc(square root of x)
Answer:
[tex] y' = -\dfrac{\cot x \csc x}{2 \sqrt{x}} [/tex]
Step-by-step explanation:
y = csc x
y' = -cot x csc x
[tex] y = \csc \sqrt{x} [/tex]
[tex] y' = \dfrac{d}{dx} [\csc \sqrt{x}] [/tex]
[tex]y' = (-\cot x \csc x) \dfrac{d}{dx} \sqrt{x}[/tex]
[tex]y' = (-\cot x \csc x) \dfrac{d}{dx} x^{\frac{1}{2}}[/tex]
[tex]y' = (-\cot x \csc x) \dfrac{1}{2} x^{-\frac{1}{2}}[/tex]
[tex] y' = -\dfrac{\cot x \csc x}{2 \sqrt{x}} [/tex]
Solve for x. Round your answer to 2 decimal places. (See image)
A. 32.08
B. 14.42
C. 9.01
D. 20.05
Answer:
A. 32.08
Step-by-step explanation:
The figure given is a right triangle. We would apply trigonometric ratios formula to find x.
Reference angle = 58°
Hypotenuse = x
Adjacent length = 17
Thus, we would apply the following:
[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]
Plug in the values
[tex] Cos(58) = \frac{17}{x} [/tex]
Multiply both sides by x
[tex] Cos(58) \times x = \frac{17}{x} \times x [/tex]
[tex] Cos(58) \times x = 17 [/tex]
Divide both sides by Cos(58)
[tex] \frac{Cos(58) \times x}{Cos(58)} = \frac{17}{Cos(58)} [/tex]
[tex] x = \frac{17}{Cos(58)} [/tex]
[tex] x = 32.08 [/tex] (2 d.p)
help please will give brainliest!!!!
Answer:
9
Step-by-step explanation:
15^2-12^2=81
So
[tex] \sqrt{81} = 9[/tex]
Find the HCF of 84 126 245.
Answer:
Prime factors of 84 = 4 . 3 . 7
Prime factors of 126 = 2 . 9 . 7
Prime factors of 245 = 5 . 49
Step-by-step explanation:
At her job at the local bakery, Jessica makes 45 cookies a week. This is 3/5 of the total cookies made at the bakery for the week. Use the equation 3/5x=45, where x = number of cookies baked, to find out how many cookies are baked at the bakery each week.
Answer:
the ansewr is 5
Step-by-step explanation:
1 plus 1 equal 5555555
Factor each completely.
1) 9r²-26r+16
2) 25b²-9
Answer: 1. ( 9r - 8 ) x ( r - 2 )
2. ( 5b - 3 ) x ( 5b + 3 )
Step-by-step explanation:
a • 1 = a
Which property does this represent?
inverse
associative
identity
distributive
Find the midpoint of the line segment with endpoints (2,7) and (6,3).
es )
A)
(4,5)
B)
(4,6)
C)
(5.6)
D)
(5,7)
Answer:
endpoints (4,5)
Step-by-step explanation:
endpoints = (2+6/2,7+3/2)
= (8/2,10/2)
= (4,5)
Can someone help me with the missing ones??
Answer:
Step-by-step explanation:
3). Definition of midpoint
4). Midpoint theorem ( ≅ parts are = )
7). Division Property of Equality.
8). QR = 5 + 2 = 7 Substitution x by equal value
9). PQ = 4(2) - 1 = 7 Substitution x by equal value
10). Segment addition postulate
11). Substitution
A can manufacturing company is designing a can of cat food to hold 5.5 oz, or about 163 cm3. They have written out that the equation for the surface area for a can with this volume is S=2πr2+163r. Explain why the equation is wrong and how to fix it.
Answer:
S = 2πr + 326/r
Step-by-step explanation:
Given
Volume = 163cm³
Required
Explain why S = 2πr² + 163r is not correct
The volume (V) of a cylinder is:
V = πr²h ----- (1)
And the surface area (S) is:
S = 2πr² + 2πrh ----- (2)
Make h the subject in (1)
h = V/πr²
Substitute V/πr² for h in (2)
S = 2πr² + 2πr(V/πr²)
Simplify the express in bracket
S = 2πr² + (2πrV)/(πr²)
S = 2πr² + 2V/r
Substitute 163 for V
S = 2πr + 2 * 163/r
S = 2πr + 326/r
The above shows the correct equation that solves the surface area and also shows how it was fixed by substituting proper values and following due process.
HELP ME PLS
(I have the answers I just need to show the work and that’s it)
Answer: B
Answer:
Im dumb but cant you just be like, I subtracted 146° and 62°?
What type of angle relationship
Answer:
they are corresponding angles. hope that helps!
Step-by-step explanation:
Answer:
From the photo we can see that a pair of parallel lines are intersecting one line. BEcause those lines are parallel they form the same angles . Therefore the <1 is equal to the m<5.
A. The relationship between <1 and <5 is that they are congruent meaning they share the same angle measure.
If the m<1 and m<5 are equal then that means the equations of those anlges must also be equal:
3x+7=5x-3
Now we can solve for x
3x+7=5x-3
7=2x+3
10=2x
5=x
x=5
Therefore for question b, x=5
B. X=5
Step-by-step explanation:
Really difficult Geometry Question....
How many sides does a pentagon have?
A.) 1
B.) 2
C.) 3
D.) 4
E.) 5
Answer:
5
Step-by-step explanation:
pent means 5
a pentagon looks like this
count the sides
Please help i have to i have to calculate degrees with whole numbers help urgently
(-2)4
Answer:
(-2)4=-8
Step-by-step explanation:
PROBLEM: (IF YOU TROLL I WILL REPORT) Riley has a rectangular shaped patio that is 13 feet long by 15 feet wide. He wants to DOUBLE THE AREA of the patio by increasing the length and width by the same amount. (200 POINTS)
1. Write an EQUATION that represents the total area of Riley's proposed patio.
2. To the NEAREST TENTH of a foot, what is the LENGTH and WIDTH of the new patio?
THANK YOU!!
Answer:
Part A)
[tex]390=(15+x)(13+x)[/tex]
Part B)
Approximately 18.77 feet long by 20.77 feet wide.
Step-by-step explanation:
Currently, the patio is 13 feet long by 15 feet wide. Therefore, the area right now is:
[tex]A=13(15)=195\text{ feet}^2[/tex]
We will increase the length and width of the patio by the same amount such that the new area is double the previous amount.
Part 1)
The previous area is 195. Therefore, we would like to the new area to be twice of that. Hence, the new area is:
[tex]A=2(195)=390[/tex]
We will increase the length and the width by the same amount. Let’s call this amount x. Then by the area formula (A=bh), we can write:
[tex]390=(15+x)(13+x)[/tex]
390 represents the doubled area. (15+x) is the width after the increase x, and (13+x) is the length after the same x increment.
Part 2)
So, we will solve for x. First, expand:
[tex]390=195+15x+13x+x^2[/tex]
Simplify:
[tex]x^2+28x+195=390[/tex]
Subtract 390 from both sides:
[tex]x^2+28x-195=0[/tex]
This is a quadratic. Hence, we can use the quadratic formula:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Our a=1, b=28, and c=-195. Hence:
[tex]x=\frac{-28\pm\sqrt{(28)^2-4(1)(-195)}}{2(1)}[/tex]
Evaluate:
[tex]x=\frac{-28\pm\sqrt{1564}}{2}[/tex]
Simplify the square root:
[tex]\sqrt{1564}=\sqrt{4}\cdot\sqrt{391}=2\sqrt{391}[/tex]
Hence:
[tex]x=\frac{-28\pm2\sqrt{391}}{2}\\[/tex]
Simplify:
[tex]x=-14+\sqrt{391} \text{ or } -14-\sqrt{391}[/tex]
Approximate:
[tex]x\approx5.77\text{ or } x\approx-33.77[/tex]
In this case, we can reject the negative solution.
Hence, the value of x is 5.77.
This means that we should increase the our length and width by 5.77.
Hence, the new length will be 13+5.77 or about 18.77.
And our new width will be 15+5.77 or about 20.77.
So, the new dimensions is approximately 18.77 by 20.77
The sum of the measures of alternate interior angles 4 and 5 of two parallel lines in 210 degrees. What are the measures of these two angles?
Answer:
105°
Step-by-step explanation:
Since 4 and 5 are equal, 210/2=105°
Jessica is collecting aluminum cans during the summer for a recycling project. She collected 120 aluminum cans in June and 150 aluminum cans in July.
What is the percentage change of the number of cans she collected in June to the number of cans she collected in July?
A.
a 25% increase
B.
a 25% decrease
C.
a 20% decrease
D.
a 20% increase
Answer:
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
Bc you are adding 1/4 of 120 which equals 150
Consider functions f and g.
f(x)=3 √x + 1
x g(x)
1 --------> 0
2 --------> 1
3 --------> 4
4 --------> 9
What is the value of f(g(1))?
A) 3√2+1
B) 9
C) 0
D) 1
Answer:
D) 1Step-by-step explanation:
Given functions f and gf(x) = 3 √x + 1g(x) given as tableTo findf(g(1))SolutionAs per table
g(1) = 0So
f(g(1)) = f(0) = 3√0 + 1 = 0 + 1 = 1f(g(1)) = 1Correct option is D) 1
this picture is my problem, no one is helping me and idk what to do
Answer:
listen when in doubt go with c
Step-by-step explanation:
Select the equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4
Answer:
a
Step-by-step explanation:
it has to have to same slope as the first equation so you have y=5x+b then what you do is plug in the points and solve for b. which gives you 2. so your final equation is y=5x+2
7=5+b
-5 -5
2=b
Answer:
The equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4 will be:
[tex]y=5x+2[/tex]Step-by-step explanation:
Given the equation
[tex]y = 5x + 4[/tex]
Here the slope is:
[tex]m=5[/tex]
as comparing with the [tex]y=mx+b[/tex], which is the slop-intercept form where m is the slope and b is the y-intercept.
As we know the point-slope form is
[tex]y-y_1=m\:\left(x-x_1\right)[/tex]
[tex]y-7=5\left(x-1\right)[/tex]
Add 7 to both sides
[tex]y-7+7=5\left(x-1\right)+7[/tex]
[tex]y=5x+2[/tex]
Therefore, the equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4 will be:
[tex]y=5x+2[/tex]