Answer:
75 problems
Step-by-step explanation:
Let x be the number of problems on the test and x-15 be the number of correct answers the student got on the test:
(x-15)/x = 0.80
x-15 = 0.80x
-15 = -0.20x
75 = x
Therefore, there were 75 problems on the test
Kripa’s father is 35 years younger than her grandfather, and 40 years older than her. If the sum of the ages of the three is 160 years, let’s find her grandfather’s age?
Answer:
90 years
Step-by-step explanation:
if Kripa's age = x
Father's age = x + 40
Grandfather's age = (x + 40) + 35 = x + 75 (father is 35 years younger than grandfather i.e. grandfather is 35 years older than father)
x + x + 40 + x + 75 = 160
=> 3x = 160 - 115
=> x = 45/3 = 15
grandfather's age = x + 75 = 90 years
Answer:
90 yearsStep-by-step explanation:
x + x + 40 + x + 75 = 160
=> 3x = 160 - 115
=> x = 45/3 = 15
Grandfather's age = x + 75 = 90 years
The year 2004 has the units digit equal to twice the thousands digit. How many years will it be before this next happens?
Step-by-step explanation:
the answer should be 1004
1. Assume O P || NM.
What are possible lengths for each of the following segments?
LO, ON, LP, and PM
Choose one measure for each segment. You can start with the length of any segment, but remember to consider the
Triangle Proportionality Theorem when choosing the measurements.
2. How did you decide what values to use? Explain how you chose your measurements, and why you know they are
possible measurements for the segments.
3. What is a different method you could use to choose these numbers? Explain your answer.
1. Assuming OP || NM, considering the triangle proportionality theorem possible measurements for the segments are: ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units
2. The possible values are decided by assuming [tex]\frac{ON}{LO} = \frac{PM}{LP} = 3[/tex] using the triangle proportionality theorem.
3. Another method is applying the AA Similarity Theorem to compare corresponding side lengths of the triangles that are proportional to each other.
What is the Triangle Proportionality Theorem?Triangle proportionality theorem states that if a line is parallel to one of the sides of a triangle intersects two of the other two sides, it divides the two sides into proportional corresponding segments.
1. Assuming that OP || NM, we would apply the triangle proportionality theorem to have the following ratio:
[tex]\frac{ON}{LO} = \frac{PM}{LP}[/tex]
Using the above ratio, we can choose the following possible lengths for the segments:
ON = 3 units
LO = 1 unit
PM = 6 units
LP = 2 units
2. The values are decided assuming that the ratio, [tex]\frac{ON}{LO} = \frac{PM}{LP} = 3[/tex]
This means that the ratio of the proportional segments, irrespective of the their measurement should give you an assumed equal ratio of 3:1.
Therefore, since:
[tex]\frac{3}{1} = 3\\\\\frac{6}{2} = 3[/tex]
The measurements, ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units are therefore possible measurements.
3. Using the AA Similarity Theorem to prove that ΔLPO ≅ ΔLMN, the corresponding sides of both triangles will be proportional.
LP/LM = LO/LN = PO/MN
We can use this to choose possible measurements while assuming a ratio between the proportional sides of both triangles.
Let's assume that: LP/LM = LO/LN = PO/MN = 1/4
Let,
LO = 1 unit
LN = 4 units
Therefore, ON = LN - LO = 4 - 1 = 3 units.
Same way the other possible measures can be gotten provided a ratio is assumed.
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I have a Statistics question
Answer:
we're your question
Step-by-step explanation:
again please
Answer:
Yes
Step-by-step explanation:
what is it
Inequality word problem
Step by step and explanation pls do the problem or report
Answer:
34 hours or more
Step-by-step explanation:
If h is the number of hours Jack works, then his earnings will total 15h. He wants that to be at least 500. The appropriate inequality is ...
15h ≥ 500
h ≥ 33 1/3 . . . . . divide by 15
Jack needs to work 34 hours or more to earn at least $500.
answer thisssssssssssssss
The table shows the relationship between r and s, where s is the independent variable.
Which equation represents the relationship between r and s?
Answer:
burrito
Step-by-step explanation:
burrito
A baseball player on a professional baseball team has 207 hits in 575 at-bats. What
is the ratio of hits to at-bats? Choose the correct answer in the most simplified
form:
Answer:
9/25
Step-by-step explanation:
find a number that both the top and bottom are divisible by,
23 is the greatest common division we can make such that the top and bottom remain whole numbers
so,
[tex]\frac{207 }{575}[/tex] ÷23
=(207/23)÷(575/23)
=[tex]\frac{9}{25}[/tex]
There are 110 students on the team. 100% of them will be off for break. How many students are on break?
Answer:
110
Step-by-step explanation:
100% of 110 means all of 110, which is just 110.
Are you sure you didn't make a typo here because I'm pretty sure this wouldn't be given on a homework. Just wondering.
Which expression is equivalent to 142 +35 - 2142
7z(2-5-39)
7zy(2-5-3)
21-5-39
7(2z-5-39)
HELP FAST
Find the value of x.
x=__ (simplify your answer. Type an exact answer isn’t radicals as needed.)
[tex] {5}^{2} + {x}^{2} = {8}^{2} [/tex]
[tex]25 + {x}^{2} = 64[/tex]
Subtract both sides 25
[tex]25 - 25 + {x}^{2} = 64 - 25[/tex]
[tex] {x}^{2} = 39[/tex]
Thus :
[tex]x = \sqrt{39} [/tex]
[tex]x = 6.245[/tex]
are in the ratio of 3:4. If the first number is decreased by 5, and
the second number is increased by 5, the new ratio will be 2 : 3. What are the two
numbers?
Answer:
the first number is 75 and the second number is 100
JACKIE BROUGHT 3/4 OF A GALLON OF ICED TEA TO THE PARTY. BILL BROUGHT 7/8 OF A GALLON OF ICED TEA TO THE SAME PARTY. HOW MUCH ICED TEA DID JACKIE AND BILL BRING TO THE PARTY?
Answer:
your welcome... hope this helps
Step-by-step explanation:
At a local college, 204 of the male students are smokers and 306 are non-smokers. Of the female students, 180 are smokers and 420 are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers?
Step-by-step explanation:
Male ratio: 204:306 = 2:3 (66%)
Female ratio: 180:420 = 3:7 (42%)
Hope that helps
Answer:
both are non smokers is 0.48.
evaluate the following expression . 2*[4+(12+16)/7
Answer:
16
Step-by-step explanation:
[tex]2 \times (4 + (12 + 16) \div 7 \\ (12 + 16) = 28 \div 7 = 4 + 4 = 8 \\ 2 \times 8 = 16[/tex]
Find the measure of x.
48.99
138
X
x = [?]
Round your answer to the nearest tenth.
Enter
Tan(48.9) = x/138
X = 138 x tan(48.9)
X = 158.2
A= 1/2bh
solve for b
Ok done. Thank to me :>
Answer:
A = bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( divide both sides by h )
b=2A/H
Step-by-step explanation:
The sum of two angles is 90°. The difference of twice the larger angle and the smaller angle is 105º. The system of linear equations:
x + y = 90
2x - y = 105
represents this situation where x is the larger angle and y is the smaller angle. Find the measures of the two angles.
SHOW YOUR WORK!!
(this is linear combinations)
Answer:
x = 65, y = 25Step-by-step explanation:
Given system of linear equations:
x + y = 90 2x - y = 105Add up the equations to eliminate y:
x + 2x = 90 + 1053x = 195x = 65Find y:
y + 65 = 90y = 90 - 65y = 25If A = -3n + 2, and B = 5n - 7, what is the value of A - B, in simplest form?
Answer:
2n-5
Step-by-step explanation:
So you would combine your like terms witch would be -3n+5n which would give you 2n then you would do 2-7 and get -5 then you get you answer 2n-5
The value of (A - B) in the simplest form is (A - B) = -8n + 9.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equations are A = -3n + 2 and B = 5n - 7.
The value of A - B is:
A - B
= -3n + 2 - (5n - 7)
= -3n + 2 - 5n + 7
= -8n + 9
Hence, the value of (A - B) in the simplest form is (A - B) = -8n + 9.
Learn more about equations here:
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If x is increasing at a
rate of 2 units per second,
find the rate of change of theta
at the instant when x= 12 units.
Answer:
[tex]\frac{d\theta}{dt}=-\frac{2}{5}[/tex] at [tex]x=12[/tex]
Step-by-step explanation:
[tex]\frac{dx}{dt}=2[/tex]
[tex]\frac{d\theta}{dt}=?[/tex]
[tex]x=12[/tex]
[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]
[tex]cos(\theta)=\frac{x}{13}[/tex]
[tex]\frac{d}{dt}cos(\theta)=\frac{d}{dt}\frac{x}{13}[/tex]
[tex]-sin(\theta)\frac{d\theta}{dt}=\frac{1}{13}\frac{dx}{dt}[/tex]
[tex]-sin(\theta)\frac{d\theta}{dt}=\frac{1}{13}(2)[/tex]
[tex]-sin(\theta)\frac{d\theta}{dt}=\frac{2}{13}[/tex]
[tex]\frac{d\theta}{dt}=\frac{2}{-13sin(\theta)}[/tex]
[tex]cos(\theta)=\frac{x}{13}[/tex]
[tex]cos(\theta)=\frac{12}{13}[/tex]
[tex]\theta=cos^{-1}(\frac{12}{13})[/tex]
[tex]\frac{d\theta}{dt}=\frac{2}{-13sin(\theta)}[/tex]
[tex]\frac{d\theta}{dt}=\frac{2}{-13sin(cos^{-1}(\frac{12}{13}))}[/tex]
[tex]\frac{d\theta}{dt}=\frac{2}{-13(\frac{5}{13})}[/tex]
[tex]\frac{d\theta}{dt}=\frac{2}{-5}[/tex]
[tex]\frac{d\theta}{dt}=-\frac{2}{5}[/tex]
The value of θ is given by the inverse sine function, from which the rate of
change of θ with respect to x can be derived.
The rate of change of θ at the instant when x = 12 units is -0.4 rad/sReasons:
[tex]\displaystyle \frac{dx}{dt} = \mathbf{2 \ units \ per \ second}[/tex]
[tex]\displaystyle cos(\theta) = \frac{x}{13}[/tex]
[tex]\displaystyle \theta = arccos \left(\frac{x}{13}\right)[/tex]
[tex]\displaystyle \frac{d}{dx} \theta = \frac{d\left(arccos \left(\frac{x}{13}\right)\right)}{dx} = \mathbf{\frac{\sqrt{169-x^2} }{x^2-169}}[/tex]
Using chain rule of differentiation, we have;
[tex]\displaystyle \frac{d\theta}{dt} = \mathbf{ \frac{d\theta}{dx} \times \frac{dx}{dt}}[/tex]
Therefore;
[tex]\displaystyle \frac{d\theta}{dt} =\frac{\sqrt{169-x^2} }{x^2-169}\times \frac{dx}{dt} = \mathbf{\frac{\sqrt{169-x^2} }{x^2-169}\times 2}[/tex]
When x = 12, we get;
[tex]\displaystyle \frac{d\theta}{dt} =\frac{\sqrt{169-12^2} }{12^2-169}\times 2 = -\frac{2}{5} = -0.4[/tex]
The rate of change of the angle, θ, with time at the instant when x = 12 is -0.4 rad/s
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Help I need help solving this!
Answer:
Step-by-step explanation:
For each equation find a value for x that makes the equation true 10=3x-6
Answer:
5.3333
or 5 and 1/3
Step-by-step explanation:
10 = 3x - 6
add six
16 = 3x
divide by 3
5.3333 = x
I hope this helps!!
Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?
Answer:
$o.44
Step-by-step explanation:
20/100×0.55 =0.11
0.55-0.11 = 0.44
Which expression is equivalent to 8.2 + 14 + 9x – 5?
A. 260
B. 362
C. 172 +9
D. 170 +19. HELPPPPP
Answer:
C
Step-by-step explanation:
i need a points point muna
The function f is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
f(x) = 1/2(x-5)^2-2
f(x)= 1/2(x -3) (x -7)
f(x) = 1/2x^2-5x+21/2
Write one of the zeros
Answer:
a) best form: (b) f(x)= 1/2(x -3) (x -7)
b) zeros: x=3, x=7
Step-by-step explanation:
The factored form most quickly tells you the zeros of the function. The zeros are the values of x that make the factors zero: the opposite of the binomial's constant.
f(x)= 1/2(x -3)(x -7) reveals the zeros to be x=3 and x=7
Answer:
khan
Step-by-step explanation:
The bar chart shows the number of students with each letter grade in a certain professor's math classes. Since students need at least a C for the grade to transfer, the professor groups all grades that are less than C into one category instead of grouping D's and F's separately.
How many fewer students have less than C's than have C's?
A 212
B 612
C 123
D 89
Answer:
Since students need at least a C for the grade to transferdes that are less than C into one category instead of grouping D's and F's separately. How many ...
Question is in picture
IS MNL=QNL? Why or why not?
Answer:
B) Yes, they are both right angles.
Step-by-step explanation:
WILL MARK BRAINLIEST PLEASE HELP THIS IS DUE NOW AND NO LINKS!!!
find the numbered angles 1 to10
Answer:
6
Step-by-step explanation:
im not sure but I think 6 is the answer
please help ill mark brainliest
Answer:
Pretty sure it is SAS as the angles are congruent
Step-by-step explanation:
Answer:
number 4
Step-by-step explanation:
both triangles use the aa as a point