Answer:
x = 2, x = 5, c = 3, c = 7, t = 4, t = -4
Step-by-step explanation:
x^2 - 7x + 10 = (x-2)(x-5) = 0
c^2 - 10c + 21 = (c-3)(c-7) = 0
t^2 - 16 = (t-4)(t+4) = 0
can you help me please
lilkyky67, this is the solution:
Let's recall that the angles in the image are consecutive interior angles and they add up to 180 degrees.
Therefore,
12x - 29 + 4x + 1 = 180
16x - 28 = 180
Adding 28 at both sides:
16x - 28 + 28 = 180 + 28
16x = 208
Dividing by 16 at both sides:
16x/16 = 208/16
x = 13
Now, we can find out the measures of the two angles, as follows:
First angle:
12x - 29 = 12 * 13 - 29
156 - 29 = 127
Second angle:
The average, or mean, D, of three exam grades, x, r, and v, is given by the
following formula.
X+r+V
D
3
(a) Solve the formula for v.
(b) Use the formula in part (a) to solve this problem. On your first two exams, your
grades are 85% and 86%: x=85 and r= 86. What must you get on the third exam
to have an average of 90%?
(a) The formula is v= 3D-x-r.
(b) The answer is.
Answer:
v = 3D - x - r
99%
Step-by-step explanation:
D = (x + r + v)/3
x + r + v = 3D
v = 3D - x - r
(b) When x = 85, r = 86 and D = 90%:
v = 3*90 -85 - 86
= 270 - 171
= 99.
If the expression 2x5 - 162xis equivalent to g(x) (x - 3),which expression could represent g(x)?
A. (x² + 9) (x + 3)
B. (x² + 9) (x-3)
c. 2x(x² + 9) (x + 3)
D. 2x(x² + 9) (x-3)
Answer:
c i think because you can factor it
What is the value of the expression −51 − 17 − (−37)?
A. −68
B. −105
C. −31
D. −71
Expression is a combination of numbers, operators and variables. the value of the expression −51 − 17 − (−37) is -31.
What is Expression?Expression is a combination of numbers, operators and variables.
The given expression is minus fifty one minus seventeen minus of minus thirty seven.
−51 − 17 − (−37)
We have to use BODMAS rule to solve this expression
-51-17+37
Now add minus fifty one and minus seventeen
We get minus 68
-68+37
Now subtract 37 from 68 and put minus sign in the answer.
We get answer as minus thirty one.
-31
Hence option C is correct. the value of the expression −51 − 17 − (−37) is -31.
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What is 32% of 495. I have to type more because its not in the 20 charter lenth.
Answer:
158.4
Step-by-step explanation:
32% multiple 495
=158.4
A student claims that 3.8¯ is an irrational number because it is a non-terminating decimal. Is the student correct? Justify your answer. If the student is incorrect, write 3.8¯ as a fraction. If the student is correct, use mathematics to explain how you know you cannot write the number as a fraction. Enter your answer and your work or explanation in the space provided.
If a student claims that 3.8¯ is an irrational number because it is a non-terminating decimal, then, he/she is incorrect as 3.8¯ can be represented as a fraction which is (35/9).
As per the question statement, a student claims that 3.8¯ is an irrational number because it is a non-terminating decimal.
We are required to determine if the claim is correct or incorrect, and if the claim is correct, then we will have to justify our answer, while if it is incorrect, we will have to determine the fraction that is equal to 3.8¯.
To solve this question, let us first try to convert our concerned decimal 3.8¯ into its equivalent fraction.
Now, 3.8¯ = 3.888...
Let us assume a random variable "x" such that, 3.8¯ = x = 3.888...
Then, 10x = (10 * 3.888...) = 38.888...
Now, [(10x - x) = {(38.888...) - (3.888...)}]
Or, (9x = 35)
Or, x = (35/9)
That is, the non-terminating decimal 3.8¯ can be converted to a fraction which is equal to (35/9).
Hence, the student's claim that that 3.8¯ is an irrational number because it is a non-terminating decimal is incorrect.
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carlos tiene 120 dolares, roxana tiene 200 dolares, claudina 180 dolares ; para viajar a ambato el pasaje cuesta 18 dolares ¿cuántos viaje de vueltas hay para viajar en el mundo? ayudenme plis unu es para mañana
The number of trips that can be taken based on the money than they have is 27 trips.
How to calculate the value?The amount that each person has is illustrated below:
Carlos = $120
Roxana = $200
Claudia = $180..
In order to travel around Ambato, $18 is needed. Therefore, the trips that can be taken will be:
= Total amount / Value for each trip
= ($120 + $200 + $180) / 18
= 500 / 18
= 27
There'll be 27 trips.
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How many times greater is 3.08\times 10^{8}3.08×10
8
than 4.4\times 10^{6}4.4×10
6
? Express your answer using either standard notation or scientific notation.
The number of times that 3.08 × 10^8 is greater than 4.4 ×× 10^6 as a scientific notation is 0.7 × 10^2.
What is scientific notation?Scientific notation simply means the way of expressing numbers that are too big or too small.
In this case, the numbers that are given are 3.08 × 10^8 and 4.4 ×× 10^6
Then we have to divide them to know the number of times that it's greater. This will be:
= (3.08 × 10^8) / (4.4 × 10^6)
= 0.7 × 10^2
This illustrates scientific notation.
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If someone could please help me that would be great! ( please only answer if you know the answer! ) ( look at photo )
Using the properties of complementary angles we can represent the solution as (a) definition of a right angle (b) substitution property of equality (c) angle addition postulate .
If the sums of two angles equal exactly 90 degrees, they are said to be complimentary.
The two angles could be a part of two distinct or related figures. Angles that are complementing don't have to be close by or facing the same direction. If the total of any two angles is precisely 90 degrees, they are said to be complementary.In both geometry and trigonometry, a right angle, commonly referred to as a quarter turn, is an angle that is precisely 90 degrees. If a ray is positioned so that its terminal is on a line and they are equal, the neighboring angles are right angles. The word is a calque of the Latin word angulus rectus, which means "upright" and denotes a vertical line perpendicular to a vertical base line.Orthogonality, which is the property of producing right angles, and perpendicular lines, which are defined as lines that intersect at right angles, are important and closely related geometrical concepts. The right angle is a crucial idea in trigonometry since it is used to identify correct triangles.To learn more about complimentary angles visit:
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Of the 175 dogs that were groomed 3/25 had a red collar. How many of the dogs had a red collar
Answer:
21
Step-by-step explanation:
175 x 3 = 525. Divide that by 25 and you get 21.
Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them. Which equation will help find x, the amount he pays for a pack of pens? How many solutions will this equation have?
A.
x + 0.05x = 3.15, which has infinitely many solutions
B.
x + 0.5x = 3.15, which has one solution
C.
x + 0.05x = 3.15, which has one solution
D.
0.05x = 3.15, which has no solution
Answer:
C is the correct answer.
Please help with my geometry hw
Using the given description < NOP is found to be 46 degrees
How to find angle NOPgiven data]
< OPQ = ( 9x - 19 ) degrees
< PNO = ( 2x + 5 ) degrees
< NOP = ( 3x + 16 ) degrees
From the figure described
let < NPO = y
< PNO + < NOP + y = 180 degrees ( sum of angles of triangle )
< OPQ + y = 180 degrees ( linear pair theorem )
Hence we equate both
< PNO + < NOP + y = < OPQ + y
< PNO + < NOP = < OPQ + y - y
< PNO + < NOP = < OPQ
( 2x + 5 ) + ( 3x + 16 ) = ( 9x - 19 )
2x + 3x + 5 + 16 = 9x - 19
5x + 21 = 9x - 19
21 + 19 = 9x - 5x
40 = 4x
x = 40 / 4
x = 10
< NOP = ( 3x + 16 ) degrees
< NOP = ( 3 * 10 + 16 ) degrees
< NOP = ( 30 + 16 ) degrees
< NOP = 46 degrees
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Answer and if you can put an explanation that would ben nice.
Explanation not necessary
Answer:
a
Step-by-step explanation:
if you substitute for example in the first 2 boxes you have -1 for x and 5 for y so substitute these in for x and y so 5=2(-1)+7. Next do 2 time -1 = -2 the add 7. -2+7=5 so 5=5 hope this helps
How do you write 3.2 x 10° in standard form? i cant seem to figure this out could somebody pls help me out?
Answer:
3.2
Step-by-step explanation:
Any number raised to the zero power is one. 3.2 x 1 = 3.2
what is 7.13X6=????????????????????
7.13 x 6 = 42.78
7 x 6 = 42
0.1 x 6 = 0.6
0.03 x 6 = 0.18
12 + 0.6 + 0.18 = 42.78
I need help with this.
Answer: A 550g box for $10.89
Step-by-step explanation:
Represent each option as grams per dollar
225g / $5.77 = 38.99g / $1.00
550g / $10.89 = 50.51g / $1.00
725g / $16.89 = 42.92g / $1.00
The second option gives the most grams per dollar
1. An express bus travels 150 miles to Washington D.C. It makes the trip in 3 hours. What is the unit rate? ( onts
Answer: 50 mph
Step-by-step explanation:
S = D/TS= 150/3S= 5050 mphthe 1st question can someone help a bro out
Answer:
3/19
Step-by-step explanation:
No. of people who ordered the small lemon yogurt divided by total no. of people
= 9/57
= 3/19
Solve the equation using number sense. I hope ya'll can understand this because i can't lol, thxs.
3d + 18 = 21
A: -1
B: 1
C: 3
D: 13
Answer: B: 1
Step-by-step explanation:
Since we already know 3 + 18 = 21, then it would only make sense for 3 x 1 + 18 to equal 21. Even then, the other answers are incorrect by process of elimination
Gavin is working two summer jobs, making $14 per hour tutoring and $13 per
hour landscaping. Last week Gavin worked a total of 10 hours and earned a
total of $137. Determine the number of hours Gavin worked tutoring last
week and the number of hours he worked landscaping last week.
Gavin worked 7 hours on his tutoring job and 3 hours on his landscaping job
System of EquationsA system of equations is a group of two or more equations with the same variables. A solution to a system of equations is the values of the variables that make all of the equations in the system true. A solution to a system is also an intersection point of the graphs of the equations in the system.
Let;
Tutoring hours = xLandscaping hours = yWe need to write system of equations to solve this problem.
14x + 13y = 137 ...eq(i)
x + y = 10 ...eq(ii)
Solving equation (i) and (ii),
x = 7 and y = 3
He worked 7 hours tutoring and 3 hours landscaping
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Help pls asap thx alot lol
The expression that is equivalent to [tex]\frac{5^{-10}}{5^{4}5^{0}}[/tex] is 1/5¹⁴
Expression:
An expression is a mathematical statement that does not contain an equal sign. It cannot be solved for unless the value of the variable is given.
Given,
Here we have the expression [tex]\frac{5^{-10}}{5^{4}5^{0}}[/tex]
Now we need to find the equivalent expression for this one.
In order to find the equivalent expression first we have to simplify the given expression.
For that we have to use the exponent rule,
1) Product of powers rule
When we multiplying two bases of the same value, keep the bases the same and then add the exponents together to get the solution.
2) Quotient of powers rule
When we dividing two bases with same value, keep the base the same, and then subtract the exponent values.
3) Negative exponent rule.
While we have the negative exponent then we have to convert them into fraction.
Based on the rule 1, we have simplify the denominator as,
[tex]\frac{5^{-10}}{5^{4}5^{0}}=\frac{5^{-10}}{5^{4+0}}\\\\= > \frac{5^{-10}}{5^{4}}[/tex]
Now we have to apply the rule (2), then we get,
=> 5⁻¹⁰⁻⁴
=> 5⁻¹⁴
Finally, we have to apply the thirds rule,
=> 1/5¹⁴
Therefore, the equivalent expression is 1/5¹⁴.
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What is the gradient of a line perpendicular to a line with a gradient of −2/3?
The gradient of a line perpendicular to a line with a gradient of −2/3 is 3/2.
Gradient of a line
The gradient of a line is defined as the change in the "y" coordinate with respect to the change in the "x" coordinate of that line. The gradient of a line is helpful to find the inclination or steepness of a line.
We know that,
The product of gradient of two lines perpendicular to each other is equal to -1.
Let the gradient of the other line be m.
Hence, according to the data given in the question, we can write,
(-2/3)*m = -1
m = -1*(-3/2)
m = 3/2
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Passes through points (-3,-8) and (-7,-12)
Write equation In point slope form
Answer:
y = x - 5
Point Slope form: y + 8 = 1 (x + 3)
Step-by-step explanation:
(-3,-8) and (-7,-12)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -12 - (-8) -12 + 8 -4
m = ------------ = --------------- = -------------- = -------- = 1
x₂ - x₁ -7 - (-3) -7 + 3 -4
y - y₁ = m(x - x₁)
y - (-8) = 1(x - (-3))
y + 8 = x + 3
-8 -8
---------------------
y = x - 5
I hope this helps!
Question 9 Every day when commuting to and from work, Stefanie drives her car a total of 143 miles for 2.5 hours. Her car already has 45,300 miles on it. a. Write a function that shows the total number of miles, f(x), Stefanie's car will have been driven after x more days. Explain how you know where each number goes in the equation. b. If Stefanie works 4 days a week, how many miles will her car have been driven after 3 weeks? Show and explain all your work.
First, determine the number of miles covered per day:
[tex]\frac{143\text{ miles}}{2.5\text{ hours}}=57.2\text{ miles per day}[/tex]Her car already has 45,300 miles on it.
(a)The total number of miles, f(x), Stefanie's car will have been driven after x more days will be:
[tex]f(x)=45,300+57.2x[/tex](b) Stephanie works 4 days a week.
After 3 weeks, the number of days worked = 4 x 3 = 12 days
Therefore, when x=12:
[tex]\begin{gathered} f(x)=45,300+57.2(12) \\ =45,300+686.4 \\ =45986.4\text{ miles} \end{gathered}[/tex]find the sime interest owed for the loan $5,100 at 10% for 1 year
Step 1: write out the formula
The simple interest on the loan can be calculated using the formula:
[tex]\text{simple int}erest\text{ =}\frac{p\text{ x r x t}}{100}[/tex]where p is the principal, in our case, it is the loan = $51000
r is the rate = 10%
t is the time = 1 year
Step2: substitute the values into the equation.
Our next step is to put the values of p, r, and t into the equation so that
[tex]\text{simple interest =}\frac{51000\text{ x 10 x 1}}{100}=5100\text{ }[/tex]Therefore, the simple interest on the loan is $5, 100
find the equivalent function for f(x)=6(2)3xthe 3x is supposed to be an exponent pls help
Answer:
An equivalent function to the given function is;
[tex]f(x)=6(8)^x[/tex]Explanation:
Given the function;
[tex]f(x)=6(2)^{3x}[/tex]we want to find an equivalent function to the given function;
Applying the rules of exponent;
[tex]\begin{gathered} f(x)=6(2)^{3x}=6(2^3)^x \\ =6(2\times2\times2)^x \\ =6(8)^x \end{gathered}[/tex]Therefore, An equivalent function to the given function is;
[tex]f(x)=6(8)^x[/tex]Let f be a function such that StartFraction x squared minus x Superscript 4 Baseline Over x squared EndFraction ≤ f(x) ≤ One-fourth x cubed for all –2 ≤ x ≤ 2. What is Limit of f (x) as x approaches 0?
The limit is 0.
The limit is 1.
The limit does not exist.
The limit cannot be found because f(x) is unknown.
commercial photographer
portrait photographer
nature photographer
education photographer
Answer:
limit = 1
Step-by-step explanation:
Elijah bought earrings to give to his mother for her birthday. The earrings are in a case shaped like a rectangular prism that is 2 inches long, 1 1/2 inches wide, and 1 1/2 inches tall. He doesn't want his mother to guess what the gift is, so he put the case in a larger, cube-shaped gift box. The gift box is 4 inches along each edge.
What is the volume of the extra space left in the gift box?
Solve for x:
4(4/4x) + 5 = 32
The value of x when he equation given is solved is x = 4/27.
How to Solve for x in an Equation?To solve for x in an equation, we have to apply all necessary properties of equality to will enable us isolate x to one side of the equation. The value of x is the solution to the equation that will make the equation a true statement.
Given the equation:
4(4/4x) + 5 = 32
Subtract 5 from both sides
4(4/4x) + 5 - 5 = 32 - 5 [subtraction property of equality]
4(4/4x) = 27
4/x = 27
Cross multiply
4 = 27(x)
4 = 27x
Divide both sides by 27 [division property of equality]
4/27 = 27x/27
4/27 = x
x = 4/27
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Answer:
6.75
Step-by-step explanation:
I've had this question before. You solve like this:
4/4 = 1 so x.
so 4 times x is 4x. You then subtract 5 from each side.
4x+5-5=32-5
4x=27 Divide both sides by 4 to get
x=27/4 which as a decimal is 6.75.
If 28 slices of pizza are to be shared in the ratio 5:2 how much will each part be?
Help this is needed right now like I need the answer help me