Answer:
See Below
Step-by-step explanation:
Ok, so you got:
The sum of twice a number and 5 is at most 15
Sum means we are going to add two things together, soo . .
___+___
Is at most means we are going to have:
___+___≤ ___
Twice a number and 5= 2x(a variable) + 5
(I'm going to use a as my variable, use whichever you like or are given)
2a + 5 ≤ __
Which will result in being greater than or equal to 15
So, your final equation would be:
2a + 5 ≤ 15
[tex]7 + 3 ^{2} \times 2[/tex]
elevated the expression
Trevor paid a total of $1.08 in fines for an overdue library book. If the penalty for overdue books is $0.09 per day, how many days late was the book?
2 days
8 days
12 days
20 days
im new
srry
Select all of the names that apply to 25
Irrational
Rational
Integer
O Whole
Real
Hugh says that “one less than four times a number” can be written as two expressions: 1 - 4n and 4n - 1. Why is Hugh incorrect?
A
because no two expressions are equal
B
because subtraction is not commutative
C
because Hugh forgot to include equal signs
D
because coefficients go after their variables
Huge is incorrect, because subtraction is not commutative.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Hugh says that “one less than four times a number” can be written as two expressions,
⇒ 1 - 4n and 4n - 1.
Now, We know that;
The subtraction property is not commutative.
And, 1 - 4n ≠ 4n - 1
Hence, Hugh is incorrect.
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the length of the rectrangular field is twice its breadth ifvthe are of the field is 3200 square meters what is the cost of fencing the field at rs 40 per meter
Answer:
Step-by-step explanation:
Area of a rectangle = Length x Breadth.
Area= L x B
We are told the length is twice the breadth.
You can write this as :
Length = 2 x Breadth
L = 2B
If you put that into the area formula at the beginning, we get:
Area = L x B
Area = 2B x B = [tex]2B^2[/tex]
They also told us that the area of the field is 3200 square meters. So,
Area = [tex]2B^2[/tex] = 3200
Divide both sides by 2
[tex]B^2[/tex]= [tex]\frac{3200}{2} = 1600[/tex]
Now to solve for B we need to square root both sides.
[tex]B = \sqrt{1600}[/tex] = 40
So now we know the Breadth is 40meters
Remember earlier we said Length = 2 x Breadth
[tex]L = 80[/tex]
Cost of fencing the field = 2L + 2B
Cost of fencing the field = 2 x 80 + 2 x 40 = $240
TECH
Musical theatre features a
Question Blank
type your answer...
style of acting because everyone in the audience needs to read your expression.
Step-by-step explanation:
need staff how do u apply that
What’s 6/5 divided by -3/2
Answer:
-4/5
Step-by-step explanation:
multi step equation
2x +3=-7
Answer:
x = -5
Step-by-step explanation:
Subtract 3 from each side, so it now looks like this: 2x = -10Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = -5I hope this helps!
Answer:
if you need to find the value of x then I can help
First the equation looks like this:
2x + 3 = -7
first find the value of "x" which will be -5 then the equation will look like this:
2(-5) then multiply 2 and -5 which is equal to -10
this will make the equation look like this:
-10 + 3 = -7
then evaluate
-10 + 3 = -7
-7 = -7
Therefore the value of "x" is -5
The marked angle can be classified as . . .
obtuse
straight
acute
right
Answer:
Acute
Step-by-step explanation:
The definition of an acute angle is less that 90 degrees.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Each square below represents one whole.
What percent is represented by the shaded area?
Answer:
152%
Step-by-step explanation:
There is one whole grid shaded = 100%
The other grid has 13/25 shaded. This is the same as 52/100=52%
100+52=152%
Answer: 152%
Step-by-step explanation: To easy please like
Find the value of the variable.
Answer:
Answer is x and y
Step-by-step explanation:
hope this will help you
please help me answer this question about rectangles
Answer:
5.14
Step-by-step explanation:
The similarity ratio is 4/7 we can write an equation to find x
4/7 = 9/x cross multiply
7x = 36 divide both sides by 7
x = 5.14 approximately
Answer:
The answer is B
Step-by-step explanation:
5.14 hope this helps. :)
Okay so I asked my teachers to help me but they can't figure it out :>
Answer:
this is the answer for first question with this i bet you can do the rest
Step-by-step explanation:
first one 3.99 cent for small bag and 3.349 cent in big bag
You can write a ratio in 3 ways… example-7lb/27.93 or 7:27.93 or 7 to 27.93. Or you can actually divide the number and get a smaller version.
Part B is the answer you get when you divide 7/27.93. Equivalent fraction would be 1/?? Whatever the answer is.
Part C is which ever one is the lesser amount per 1/??
better way and help for rest
Answer:
Woah this is hard
Step-by-step explanation:
Help pretty pretty please :(
Answer:
27/20
Step-by-step explanation:
The absolute value of any expression is always positive or zero
3/5 + 3/4
Add the fractions
27/20
Solution
27/20
Alternate form
1 7/20, 1.35
Answer:
1.35
Step-by-step explanation:
Simplify: 3/5 + 3/4Find the LCM for the denominators: 20Alter the numerators to fit the denominators: 3 × 4 = 12, 3 × 5 = 15Re-write the fractions and add them: [tex]\frac{12}{20} + \frac{15}{20} = \frac{27}{20}[/tex] 27/20 = 1.35I hope this helps!
A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. How many days can the van be rented if they want to spend less than $760.00 on the van rental? Write and solve the inequality.
The answer is three
Step-by-step explanation:
75 plus 160 is 235 and 235+235+235= 705
math thanks ik u like math
Answer:
775/25
Step-by-step explanation:
Part 1 out of 2
Your friend says that there is an angle whose measure is the same as the measure of the sum of its
supplement and its complement.
Is your friend correct? What is the measure of the angle?
the measure of its complement is
10, and the measure of its
The measure of the angle is
supplement is
Check
Next
Answer:
The angle is 90, my friend gave the answer as 10, so he is incorrect
The complement of the angle is not 10 but 0
The measure of the supplement is 90 degrees
Step-by-step explanation:
The complement of an angle is simply the value of 90 minus the angle
The supplement of an angle is simply the value of 180 minus the angle
So let’s say the angle we are looking at is x
The complement of the angle will be 90 - x
The supplement of the angle will be 180-x
so from the question;
x = 90-x + 180-x
x = 270 - 2x
2x + x = 270
3x = 270
x = 270/3
x = 90
The measure of the angle is 90 degrees
the measure of the complement of this angle is 90-90 = 0 degrees
The measure of the complement is 180-90 = 90 degrees
The highway from Alton to Beasley is 250 miles long, and 3/10 of the miles are in Foster County. Of the portion of miles in Foster County, 2/5 of them are in Vista Township. How many miles of the highway are in Vista Township? (PLEASE ANSWER FAST!!)
Answer and explanation:
Find attached
1 A student whose eye level is 182 cm from the ground observed the top of their house at
an angle of elevation of 32 at point A She walked for 20m towards the house along a
straight road to a point B where she observed the top of the building again at an angle of
elevation of 40 Calculate corect to 2 decimal places the-
(a) Distance of A from the bouse
(3mks)
(b) The height of the house
(2mks)
2. Given that an X=5/ 12 find the value of the following without using mathematical tables or
calculator
(a) Cos x
(2mks)
(b) Sin (90-x)
2mics)
Answer:
Question 1)
[tex]\text{ Distance from A to the house is approximately 78.34 meters}\\\text{The height of the house is approximately 50.77 meters}[/tex]
Question 2)
[tex]\text{ Part A) \cos(x)=\frac{12}{13}} \\ \text{ Part B) \sin(90-x)=\frac{12}{13} }[/tex][tex]\text{ Part A) }\\\cos(x)=\frac{12}{13}\\\\\text{ Part B)}\\\sin(90-x)=\frac{12}{13}[/tex]
Step-by-step explanation:
Question 1)
Please first reference below for the image.
Also recall the basic trigonometric functions with SohCahToa.
Part 1)
In order to find the distance, we will need to find the value of [tex]x[/tex]. However, to do so, we must find the value of [tex]c[/tex] first.
First, we will need to find BM. We can use the smaller triangle. BM is opposite of the smaller triangle, and we already know that the hypotenuse is 20 meters. So, we can use sine:
[tex]\sin(A)=\frac{\text{opp}}{\text{hyp}}[/tex]
Substitute 32° for A and 20 for the hypotenuse. Our BM is our opposite, so substitute BM for opposite. This yields:
[tex]\sin(32)=\frac{BM}{20}[/tex]
Solve for BM. Multiply both sides by 20:
[tex]BM=20\sin(32)[/tex]
Don't approximate just yet. In order to make our answer to most precise, we will approximate at the very end.
So, BM is 20sin(32) meters. BM of the smaller triangle is the same as BM of the larger triangle, so BM of the larger triangle is also 20sin(32). Now, we can find the value of [tex]c[/tex]. However, we will first need to find the value of [tex]\angle MBT[/tex]. To do so, notice that [tex]\angle ABM, \angle MBT, \text{ and } 40\textdegree[/tex] form a straight angle. Therefore:
[tex]\angle ABM+\angle MBT+40^\circ=180[/tex]
Simplify:
[tex]\angle ABM+\angle MBT=140[/tex]
So, we will need to find [tex]\angle ABM[/tex], which is [tex]\angle B[/tex] of the smaller triangle. So, we can use the trig functions again. Since we now know BM, we can use cosine. So:
[tex]\cos(B)=\frac{\text{adj}}{\text{opp}}[/tex]
Substitute 20sin(32) for the adjacent and 20 for the opposite. So:
[tex]\cos(B)=\frac{20\sin(32)}{20}[/tex]
To solve for B, take the inverse cosine of both sides. Evaluate:
[tex]B=\cos^{-1}(\frac{20\sin(32)}{20})=58^\circ[/tex]
Therefore, we can substitute 58 for [tex]\angle ABM[/tex] and solve. This yields:
[tex]58+\angle MBT=140\\\Rightarrow\angle MBT=82^\circ[/tex]
So, we can now find c. We know BM and that [tex]\angle B[/tex] (of the larger triangle) is 82°. To find c, then, we will use cosine. So:
[tex]\cos(B)=\frac{\text{adj}}{\text{hyp}}[/tex]
Substitute 82 for B, 20sin(32) for the adjacent BM, and c for the hypotenuse. So:
[tex]\cos(82)=\frac{20\sin(32)}{c}[/tex]
Solve for c by cross-multiplying:
[tex]c=\frac{20\sin(32)}{\cos(82)}[/tex]
Now, finally, we can solve for [tex]x[/tex]. We know [tex]c[/tex] (the hypotenuse) and we want to find [tex]x[/tex]. We also have an angle of 40°. So, we can use cosine:
[tex]\cos(40)=\frac{x}{c}[/tex]
Multiply both sides by [tex]c[/tex]:
[tex]x=c\cos(40)[/tex]
Substitute [tex]c[/tex]:
[tex]x=\frac{20\sin(32)\cos(40)}{\cos(82)}[/tex]
Approximate:
[tex]x\approx58.34\text{ meters}[/tex]
However, this is only [tex]x[/tex]. The distance from the house is [tex]x+20[/tex]. Therefore, the distance from the house is:
[tex]d\approx58.34+20\approx78.34\text{ meters}[/tex]
Part 2)
We want to find the height h. Since we already determined [tex]c[/tex], we can use it to find [tex]h[/tex]. We will use the sine function this time:
[tex]\sin(40)=\frac{h}{c}\\\Rightarrow h=c\sin(40)\\\Rightarrow h=\frac{20\sin(32)\sin(40)}{\cos(82)}\\\Rightarrow h\approx48.95[/tex]
However, we will still need to add the eye level of 182 centimeters or 1.82 meters. So:
[tex]h\approx48.95+1.82\approx50.77\text{ meters}[/tex]
The height of the house is approximately 50.77 meters.
Question 2)
We know that: [tex]\tan(x)=\frac{5}{12}[/tex]
Remember that tangent is the opposite side over the adjacent side. So, let's find the hypotenuse. We can us the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
Substitute 5 for a and 12 for b. Solve for c:
[tex]c^2=(5)^2+(12)^2\\\Rightarrow c^2=25+144\\\Rightarrow c=\sqrt{169}=13[/tex]
So, our hypotenuse is 13, our adjacent is 12, and our opposite is 5. We can now solve for the others:
A)
[tex]\cos(x)=\frac{\text{adj}}{\text{hyp}}\\\Rightarrow\cos(x)=\frac{12}{13}[/tex]
B)
[tex]\sin(90-x)=\cos(x)\\\text{Note: This is a cofunction identity}\\\Rightarrow\sin(90-x)=\frac{12}{13}[/tex]
Note: The document I found said [tex]\sin^2(90-x)[/tex]. Anyways, it will just be: [tex]\sin^2(90-x)=\frac{144}{169}[/tex]
6. Evaluate 81^1/2
Helpp pleasee
Answer:
9
Step-by-step explanation:
81^1/2 is actually √81
square root of √81 is 9
Pls mark me as brainliest
− 125/7 simplified
answer and I give brainliest math
Help please...........
Answer:
It would be positive, zero, negative, and undefined (the first answer).
Hope this helps!
A piece of machinery depreciates $8000 the first year,
$7500 the second year, and $7000 the third year. If the
rate of depreciation is constant, what is the amount of
depreciation of the piece of machinery in the sixth year?
Answer:
6,500 = 4th year
6,000 = 5th year
5,500 = 6th year.
The amount of depreciation of the piece of machinery in the sixth year is $5000.
What is depreciation?A reduction in the value of an asset over time, due in particular to wear and tear.
Given that, a piece of machinery depreciates $8000 the first year, $7500 the second year, and $7000 the third year
The rate of depreciation is $500 per year
For 6 years the reduction is = 6*500 = $3000
Therefore, after 6 years = $8000 - $3000 = $5000
Hence, The amount of depreciation of the piece of machinery in the sixth year is $5000
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Carmen and Linda share 70 candies. If Carmen gets four more candies than Linda gets, how many candies does Linda get? Show
your work.
Answer:
66 candies
Step-by-step explanation:
70-4=66
You are considering a certain telephone company. They charge $0.19 per minute of talking, plus a fixed base monthly fee of $70. If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C?
Answer:
.19m+70=c
Step-by-step explanation:
.19m represents $0.19 per minute
+70 represents the fixed monthly fee
so you'd multiply the minutes by 19cents and add the $70 to find cost per month
2/3h-2/3h+11=8 solve this equation , check steps
Answer:
Step-by-step explanation:
There is no answer if the question is as written. If you subtract 2/3 h from 2/3 h you get 0.
That means that 11 = 8 which has no meaning.
Simplify the expression, (4-3i)(-3+6i)-(2-i)
Answer:
(4-3i)(-3+6i)-(2-i)=
1i×9i-1i=
9i-1i=
8i
Which expression is equivalent to 3/6 divided by 7/9
Answer:
9/14
Step-by-step explanation:
3/6 / 7/9
3/6 * 9/7
3/2 * 3/7
9/14
A slope of -4 through the point (5,-1) anyone know this?
Answer:
y = -4x + 19
Step-by-step explanation:
We will use the linear equation y = mx + c for this
m is our slope and c is our offset (y-intercept)
We are informed that our slope is -4 so
y = -4x + c
To find the equation of a line passing through the point (5,-1) we simply plug in our values into our equation
-1 = -4(5) + c
Then we can find c
-1 = -20 + c
19 = c
Now that we have our m and c, we can form an equation of a line that passes through our point:
y = -4x + 19
Los siguientes problemas se encuentran en lenguaje común, traduzcan cada uno de ellos a lenguaje algebraico solamente. AEel cuadrado de un número menos cinco es igual a doscientos veinte B) Alejandra pensó un número, lo elevó al cuadrado, multiplicó el resultado por cuatro y obtuvo cien C)Si una pista de baile tiene un área de 5625m² y se sabe que su largo mide lo mismo que su ancho, cuanto medirán las dimensiones de la pista de baile
Answer:
A) La traducción algebraica de la oración es [tex]x^{2}-5=220[/tex].
B) La traducción algebraica de la oración es [tex]4\cdot x^{2} = 100[/tex].
C) Ese problema se traduce bajo esta forma lógica como [tex]w\cdot l = 5625\,m^{2}[/tex] [tex]\land[/tex] [tex]w = l[/tex] [tex]\implies[/tex] [tex]w = 75\,m[/tex] [tex]\land[/tex] [tex]l = 75\,m[/tex].
Step-by-step explanation:
Debemos proceder en este ejercicio como sigue:
1) Leer cuidadosamente la frase.
2) Escribir su equivalente matemático a medida que se lee y hasta culminarlo.
A continuación, presentamos el desarrollo y la conclusión de cada ejercicio:
A) Interpretamos la oración paso a paso conforme al lenguaje matemático conocido:
(i) El cuadrado de un número:
[tex]x^{2}[/tex]
(ii) El cuadrado de un número menos cinco:
[tex]x^{2}-5[/tex]
(iii) El cuadrado de un número menos cinco es igual a:
[tex]x^{2}-5=[/tex]
(iv) El cuadrado de un número menos cinco es igual a doscientos veinte:
[tex]x^{2}-5=220[/tex]
La traducción algebraica de la oración es [tex]x^{2}-5=220[/tex].
B) Interpretamos la oración paso a paso conforme al lenguaje matemático conocido:
(i) Alejandra pensó un número:
[tex]x[/tex]
(ii) Alejandra pensó un número, lo elevó al cuadrado,:
[tex]x^{2}[/tex]
(iii) Alejandra pensó un número, lo elevó al cuadrado, multiplicó el resultado por cuatro:
[tex]4\cdot x^{2}[/tex]
(iv) Alejandra pensó un número, lo elevó al cuadrado, multiplicó el resultado por cuatro y obtuvo cien:
[tex]4\cdot x^{2} = 100[/tex]
La traducción algebraica de la oración es [tex]4\cdot x^{2} = 100[/tex].
C) Interpretamos la oración paso a paso conforme al lenguaje matemático conocido:
(i) Si una pista de baile tiene un área de 5625 m²:
[tex]A = 5625\,m^{2}[/tex]
(ii) Si una pista de baile tiene un área de 5625 m² y se sabe que su ancho mide lo mismo que su ancho:
Lo que se infiere de la afirmación es que la pista de baile sería un cuadrilátero y más precisamente, un cuadrado:
[tex]A = 5625\,m^{2}[/tex]
[tex]A = w\cdot l[/tex] ([tex]l[/tex] - Largo, [tex]w[/tex] - Ancho)
[tex]w = l[/tex]
Entonces la ecuación algebraica sería:
[tex]l^{2} = 5625\,m^{2}[/tex]
(iii) Si una pista de baile tiene un área de 5625 m² y se sabe que su ancho mide lo mismo que su ancho, cuanto medirán las dimensiones de la pista de baile:
Lo que se infiere de la afirmación es que la pista de baile sería un cuadrilátero y más precisamente, un cuadrado:
[tex]A = 5625\,m^{2}[/tex]
[tex]A = w\cdot l[/tex] ([tex]l[/tex] - Largo, [tex]w[/tex] - Ancho)
[tex]w = l[/tex]
Entonces la ecuación algebraica sería:
[tex]l^{2} = 5625\,m^{2}[/tex]
Y obtenemos la longitud por despeje:
[tex]l = \sqrt{5625\,m^{2}}[/tex]
[tex]l = 75\,m[/tex]
[tex]w = 75\,m[/tex]
Ese problema se traduce bajo esta forma lógica como [tex]w\cdot l = 5625\,m^{2}[/tex] [tex]\land[/tex] [tex]w = l[/tex] [tex]\implies[/tex] [tex]w = 75\,m[/tex] [tex]\land[/tex] [tex]l = 75\,m[/tex].