Answer with explanation:
The equation whose equivalent equation we have to find is:
5 √X +8=35
Two equations are said to be equivalent,if they have same solution .
There is another definition of equivalent equation.Two equation are said to be equivalent ,also, if their solution are not same, but these equations appear Identical that is congruent but not Similar.
Option A: Equation ,3√X +8=175 is equivalent to 5√X+8=35.
Answer:
A
Step-by-step explanation
Parallel lines e and f are cut by transversal b.
e=(2x+10)
f=(3x-15)
What is the value of x?
1
5
25
37
Answer:
25
Step-by-step explanation:
Answer:
the answer is 25. hope this helps
You work for a dress maker and your boss sends you to the fabric store to buy blue fabric. She tells you to buy the best deal. What is the best deal on fabric? A) 20 yards for $30.00 B) 40 yards for $45.00 C) 50 yards for $70.00 D) 65 yards for $85.00
Answer:
B 40 yards for $45 is the best deal at $1.13 per yard
Step-by-step explanation:
Break it down by finding the unit price per yard (divide cost by yardage)
A. 30/20 = $1.50 per yard
B. 45/40 = $1.125 per yard
C. 70/50 = $1.40 per yard
D. 85/65 = $1.30 per yard
Answer:a
Step-by-step explanation:
Find the angle of elevation of the sun when a 24 foot tree casts a shadow of 36 feet
ANSWER
37°
EXPLANATION
The angle of elevation of the sun is the angle through which one has to raise the head to see the sun.
When a 24 feet tree casts a shadow of 36 feet, we can obtain a right triangle as shown in the diagram to help us calculate the angle of elevation of the sun.
Let x be the angle of elevation of the sun, then
[tex] \tan(x) = \frac{24}{36} [/tex]
[tex]x = \tan ^{ - 1} ( \frac{2}{3} ) = 37.433[/tex]
Hence, the angle of elevation of the sun is 37° to the nearest degree.
2. What's the area of a circle with radius 18 units? A. 36? units2 B. 324? units2 C. 18? units2 D. 9? units2
c. 18 is the answer you get
Answer:
1017.87602
Step-by-step explanation:
A = π R squared = π · 18 squared ≈ 1017.87602
A figure is translated horizontally 4 units. Which drawing shows a correct translation? A B C D
Answer:
The Answer is C!! (With two L's pointing right)
Step-by-step explanation:
Answer:
Give the other person brainliest they deserve it!
Step-by-step explanation:
A third grade party two groups each had their own pizza each had their own pizza the blue group ate 7-8 the green group ate 2-8 pizza which group ate more of their pizza
Answer:
The blue group ate 5/8 more pizza than the red group.
Step-by-step explanation:
7/8 - 2/8 = 5/8
Answer:
So what I had yesterday was yogurt, turkey, cheese, honey wheat bread, sandwich and eggs and bacon and biscuits
Yogurt=dairy
turkey=protien
cheese=dairy
bread=garin
eggs=protien
bacon=protien
bicuits=grain
milk=dairy
Step-by-step explanation:
Describe the solution to the inequality p>4
Answer:
P is greater than 4
Step-by-step explanation:
so P could be anything from 5 to infinity
Final answer:
The inequality p > 4 is satisfied by any real number greater than 4. The solution is represented visually by shading the number line to the right of the open circle at 4.
Explanation:
The solution to the inequality p > 4 is all real numbers greater than 4. In other words, for any number p that is greater than 4, the inequality will hold true.
To visualize this solution on a number line, you would draw an open circle at 4 and shade all numbers to the right of 4, indicating that all those numbers are part of the solution set.
This is a basic concept in algebra, focusing on understanding and solving inequalities. The solution does not include the number 4 itself because the inequality is strictly greater than (not greater than or equal to).
The winter coat I was looking at in January has now been marked down by 40%. It was going to cost me $120 in the winter, but if I buy it now it will only cost me $ .
Answer:
$72
Step-by-step explanation:
✯Hello✯
↪ First you need to work out what 40% of 120 is and that is 48
↪ Its been marked down by 40% so we need to do 120-48
↪ That is 72
↪ The coat is $72
❤Gianna❤
Which transformation shows a translation of 3 units to the right?
A) B) C) D)
Simplify the equation √8^17
The answer is 8^8 * /8
Evaluate the log without a calculator ( Show your work )
[tex]log_{25} \frac{1}{5}[/tex]
Answer:
[tex]\log_{25}(\frac{1}{5})=-\frac{1}{2}[/tex]
Step-by-step explanation:
Let
[tex]\log_{25}(\frac{1}{5})=x[/tex]
We rewrite as an exponential equation to obtain;
[tex]\frac{1}{5}=25^x[/tex]
We rewrite both sides of the equation as an index number to base 5.
[tex]5^{-1}=5^{2x}[/tex]
Since the bases are the same, we equate the exponents to obtain;
[tex]-1=2x[/tex]
Divide both sides by 2;
[tex]x=-\frac{1}{2}[/tex]
What is the future value of the 10% savings from earnings of $187.45 if it earns 5% annual interest, compounded monthly for 30 years? Use the compound interest formula to estimate the present value.
Answer:
$83.75
Step-by-step explanation:
To find the future value, we first need to define our variables.
P = 187.45 x 0.10 = 18.745
r = 5% or 0.05
t = 30 years
n = 12
Now we can use the formula:
[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]
[tex]A=18.745(1+\dfrac{0.05}{12})^{12(30)}[/tex]
[tex]A=18.745(1+\dfrac{0.05}{12})^{360}[/tex]
[tex]A=83.75[/tex]
So the future value after 30 years is $83.75.
The future value of the 10% savings from earnings of $187.45 is $83.75.
Future valuePrincipal= 187.45 x 0.10 = 18.745
rate = 5%
time = 30 years
n = 12
Hence:
Future value=18.745 (1+0.05/12)^30×12
Future value=18.745 (1.05/12)^360
Future value=$83.75
Inconclusion the future value of the 10% savings from earnings of $187.45 is $83.75.
Learn more about future value here:https://brainly.com/question/24703884
If 2.5 is a root of the equation 2x^2+5x−q=0, what are the possible values of q?
Answer:
q = -25[tex]10 +5 = \pm \sqrt{5^2-4*2*q} \\ 225 = 25-8q \\\\8q = -200 \rightarrow q = -\frac {200}8 = -25[/tex]
Step-by-step explanation:
Grab the generic solution of the equation. [tex]\frac 52 = \frac{-5 \pm \sqrt{5^2-4*2*q}}{2*2}[/tex]. Let's isolate the radical, and square both sides.[tex]10 +5 = \pm \sqrt{5^2-4*2*q} \\ 225 = 25-8q \\\\8q = -200 \rightarrow q = -\frac {200}8 = -25[/tex]
Answer:
since we know that x1=2.5
we can just just use vieta's theorem
x1+x2=-b/a
x1*x2=c/a
Juan earns a monthly salary of $3,200. Federal withholding is 14.1% of his gross pay. Juan has a total of $244.80 deducted for Social Security and Medicare. Find his net pay.
Given is :
Monthly salary of Juan = $3200
Federal withholding is 14.1 % of 3200 = [tex]\frac{14.1}{100}*3200= 451.20[/tex]
Deductions for social security and medicare = $244.80
So, total deductions of Juan are = [tex]451.20+244.80=696[/tex]
So, Juan's monthly net pay is= [tex]3200-696=2504[/tex]
= $2504
Juan's net pay is calculated by first determining the federal withholding from his monthly salary and then subtracting the deductions for Social Security and Medicare. His net pay comes out to be $2,504 after all deductions.
To find Juan's net pay after deductions and taxes from his monthly salary of $3,200, we must first calculate the amount withheld for federal taxes, then subtract the fixed amount deducted for Social Security and Medicare. Juan's federal withholding is 14.1% of his gross pay, so we calculate 14.1% of $3,200 to find the federal withholding. Next, we subtract the total deduction for Social Security and Medicare from his gross salary.
The calculation for federal withholding is: $3,200 × 14.1% = $451.20
Therefore, the total deduction is: $451.20 (federal withholding) + $244.80 (Social Security and Medicare) = $696.
To find his net pay, we subtract the total deduction from the gross salary:
Net Pay = Gross Salary - Total Deduction = $3,200 - $696 = $2,504
Juan's net pay after all deductions is $2,504.
I'm thinking of a mystery number. Seventeen more than five times the number is equal to four times the number, decreased by nine. What's my mystery number? Good luck!
[tex]5x + 17 = 4x - 9\Leftrightarrow x = - 26[/tex]
The mystery number satisfying the equation 5x + 17 = 4x - 9 is -26. To find this, we subtract 4x and then 17 from both sides of the equation.
The student is asking to find the mystery number that satisfies the equation: 17 more than five times the number is equal to four times the number, decreased by nine.
Let's represent the mystery number as x. The equation based on the given statement is then:
5x + 17 = 4x - 9.
To solve for x, we need to isolate the variable. Here's the step-by-step solution:
Subtract 4x from both sides of the equation: 5x - 4x + 17 = 4x - 4x - 9, which simplifies to x + 17 = -9.Subtract 17 from both sides of the equation: x + 17 - 17 = -9 - 17, which simplifies to x = -26.Therefore, the mystery number is -26.
The students in Miss Collins class used a survey or’s measuring device to find the angle from their location to the top of a building they also measured the distance from the bottom of the building. the diagram shows the angle measure in the distance.
To the nearest foot, what is the height of the building?
A. 105ft
B. 116ft
C. 32ft
D. 54ft
(Image attached)
Answer:
A
Step-by-step explanation:
We can use trigonometric ratios to solve this.
With respect to the angle given, the building's height is the side that is "opposite".
Also, the given length of 63 feet is the "adjacent" side with respect to the angle given.
Which trigonometric ratio relates "opposite to adjacent" side?
It is TAN.
Now, let's write the ratio and solve for the height of the building (let h be height of the building). We have:
[tex]Tan(\theta)=\frac{Opposite}{Adjacent}\\Tan(59)=\frac{h}{63}\\h=Tan(59)*63\\h=104.85[/tex]
Rounding this, we get h = 105 feet, correct answer A
Answer:
The height of the building = 105 feet ⇒ answer (A)
Step-by-step explanation:
* To find the height of the building use the trigonometry functions
- Lets consider the height (h) of the building as a side of right angle triangle
and the other side is the distance from the bottom of the building
- Now we have right angle triangle one of its acute angle is 59°
- The length of one leg of the right angle = 63 feet
- We have the adjacent side of angle 59°
- we need to find the opposite side of angle (h)
∴ Lets use the function tan to find h
∵ tanФ = opposite to Ф/adjacent to Ф
∵ Ф = 59°
∵ The length of the side adjacent to Ф = 63 feet
∴ tan59 = h/63 ⇒ by using cross multiplication
∴ h = 63 × tan 59 = 104.849 ≅ 105 feet
∴ The height of the building = 105 feet answer (A)
The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 60. Jake scored 520 on the test. What percent of students scored below Jake? Include a step by step description of the process you used to find that percentage.
Subtract the mean from Jake's score:
520 - 500 = 20
Divide by the standard deviation:
20/60 = 0.33
Jake scored 0.33 standard deviation above the mean.
From the Z-table, 0.33 = 0.6293 = 62.93% of students scored below Jake.
Round to 63%
Answer:
z score is 0.33
( 0.6293) is the answer the next slot)
and 62.93% is last
Step-by-step explanation:
Five friends buy a shirt that costs x dollars and a pair of shoes that cost $24.00.
50Points Plato Help!!
The number of teams who entered in a 3-on-3 charity basketbal ournament can be modeled by function T, where x is the number of years since the tournament first started. T(x)=4x+24
The entry fee paid by each team to enter the tounament can be modeled by tunction F, where x is the number of years since the tounament fist started.
F(x)=5x+45
Which function, R, best represents the total entry lees collected in the year since the tournament first started?
A.R(x)=20x^2+300x+1080
B.R(x)=20x^2+1080
C.R(x)=9x+69
D.R(x)=9x^2+29x+69
T(x) calculates the number of teams and F(x) calculates the entry fees.
To find the total entry fee, you would add the entry fee for each team together, so you need to add T(x) and F(x) together.
The answer would be C. R(x) = 9x +69
Answer:
T(x) calculates the number of teams and F(x) calculates the entry fees.
To find the total entry fee, you would add the entry fee for each team together, so you need to add T(x) and F(x) together.
The answer would be C. R(x) = 9x +69
Use equations and inequalities to solve the following word problems.
3. Max is selling boxes of chocolate for a school fundraiser. He sold 12 boxes and earned $84. If all of the boxes have the same cost, how much does each box cost?
4. Anne donates at least $120 per month to charity. She has 4 favorite charities and divides her donations equally among them. How much does Anne donate to each of her favorite charities per month?
To find the cost of each box, we solve an equation: 12x = 84. To find the amount Anne donates to each charity, we set up an inequality: y ≥ 120/4.
Explanation:To solve the word problems, we can use equations or inequalities depending on the situation.
Question 3:
We are given that Max sold 12 boxes and earned $84. Let's assume the cost of each box is x dollars. The equation representing the given information is 12x = 84. To find the value of x, we divide both sides of the equation by 12: x = 84 / 12 = 7 dollars. Therefore, each box costs $7.
Question 4:
Anne donates at least $120 per month and divides her donations equally among 4 favorite charities. Let's assume the amount Anne donates to each charity is y dollars. The inequality representing the given information is y ≥ 120/4 = 30. Therefore, Anne donates at least $30 to each of her favorite charities per month.
Please help me out!!!!!
Answer:
[tex]\frac{c}{a+b}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(0, 0) and (x₂, y₂ ) = C(a +b, c)
m = [tex]\frac{c-0}{a+b-0}[/tex] = [tex]\frac{c}{a+b}[/tex]
Answer:
[tex]\large\boxed{\dfrac{c}{a+b}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points A(0, 0) and C(a + b, c). Substitute:
[tex]m=\dfrac{c-0}{a+b-0}=\dfrac{c}{a+b}[/tex]
Juan threw a dart onto the board. Which of the following is most likely? Answers in pic
Answer:
I think its at least 2, but im not so sure
Answer:
At least 2 points
Step-by-step explanation:
If he throws the dart onto the board, the lowest possible score he can get is two, and if he hits the 4 or 8 point circles, it is still at least 2.
Bryan is cooking cupcakes for a bake sale at his club. The recipe calls for 12 cups of flour. He has already put 3 cups of flour in the mixing bowl. How many more cups does he need to put in? Write an equation to represent this problem. Then solve.
Answer:
9 cups
Step-by-step explanation:
12-3 = 9
Answer:
Bryan needs 9 cups more.
Step-by-step explanation:
Bryan is cooking cupcakes for a bake sale at his club. The recipe calls for 12 cups of flour.
Number of cups of flour, he already has = 3
Lets say he needs x cups more.
So, equation forms = [tex]12=x+3[/tex]
=> [tex]12-3=x[/tex]
x = 9
Hence, Bryan needs 9 cups more.
Olympic volleyball player Bev Oden averaged 3.42 "kills" (spikes that end a rally) per game. Predict her number of kills in a 5 game match.
Answer: 17.1
Step-by-step explanation:
If she averages 3.42 kills per game, she should average that for each of the 5 games. You need to multiply 3.42 times 5 for the total of 5 games.
3.42 x 5 = 17,1
Bev Oden, achieve approximately 17 kills in a 5 game match .
To predict the number of kills Bev Oden will achieve in a 5 game match, we can use her average kills per game to make the calculation.
Given that Bev Oden averages 3.42 kills per game, we simply multiply her average by the number of games in the match.
Step-by-step calculation:
Average kills per game: 3.42Number of games: 5Total kills = 3.42 kills/game x 5 games = 17.1 killsTherefore, Bev Oden is predicted to achieve approximately 17 kills in a 5 game match.
How many parameters are needed to fully describe any normal distribution?
Answer:
There are only two parameters needed to define any normal distribution curve.
Step-by-step explanation:
The two parameters are mean and standard deviation. This will allow us to see how far from the mean the curve exists and where the center is.
What's is 5x2/3
A. 3 1/3
B 3 2/5
C 5 2/3
D 10/15
Answer:
The answer is A. 3 1/3
Step-by-step explanation:
Simplify:
10/3
Then, convert to a mixed fraction:
3 1/3
Hope this helped.
The mathematical expression 5x2/3 = 15/3 x 2/3 = 30/9 = 5 2/3.
Option C is correct.
How do we calculate?an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Step 1: Simplify 5x2/3
5x2/3 = (5 x 2)/3
5x2/3 = 10/3
Step 2: Simplify 10/3
10/3 = 3 + 2/3
10/3 = 5 2/3
An expression in math can also be described as a statement having minimum of two numbers, or variables, or both and an operator connecting them.
Therefore, the correct answer is C.
Learn more about mathematical expression at:
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A circle is divided into 20 equal parts. What is the angle measure of three of those left parts?
Answer:
54
Step-by-step explanation:
A circle is 360 degrees
We divide it into 20 parts
360/20 = 18
Each part is 18 degrees
We want the angle means of 3 of the parts
3*18 = 54
Three of the parts measures 54 degrees
Identify the equation of the translated graph in general form x^2-y^2=9 for T(-4,2)
Answer:
B
Step-by-step explanation:
If an equation of the form [tex]x^2-y^2=a[/tex] goes through a translation T (p,q), the transformed equation has the form [tex](x-p)^2-(y-q)^2=a[/tex]
Using this, we can write the equation given as:
[tex](x-(-4))^2-(y-2)^2=9\\(x+4)^2-(y-2)^2=9\\x^2+8x+16-y^2+4y-4-9=0\\x^2-y^2+8x+4y+3=0[/tex]
So, B is the right answer.
Answer:
b. [tex]x^2-y^2+8x+4y+3=0[/tex]
Step-by-step explanation:
The given hyperbola has equation [tex]x^2-y^2=9[/tex].
This hyperbola is centered at the origin.
If this hyperbola is translated, so that its center is now at (-4,2), its equation now becomes;
[tex](x+4)^2-(y-2)^2=9[/tex]
We now expand to obtain;
[tex]x^2+8x+16-(y^2-4y+4)=9[/tex]
[tex]\Rightarrow x^2+8x+16-y^2+4y-4-9=0[/tex]
[tex]\Rightarrow x^2-y^2+8x+4y-4-9+16=0[/tex]
The correct choice is B.
[tex]\Rightarrow x^2-y^2+8x+4y+3=0[/tex]
Choose the correct answer.
If you do not pay the entire credit card bill, you are charged ____ on the unpaid part.
(1)a flat fee
(2)interest
Answer:
INTEREST just did it on odesseyStep-by-step explanation:
Answer:
If you do not pay the entire credit card bill, you are charged an interest on the unpaid part.
Step-by-step explanation:
If you do not pay the entire credit card bill, you are charged an interest on the unpaid part.
When you do not pay the entire bill or pay less than minimum or minimum amount, an interest is charged on the remaining balance.
The amount increases each month as the interest is added with the unpaid amount.
Explain two ways you can use a number line to order the integers –3, +1, and –10.
Answer:
-10,-3,1
1,-3,-10
Step-by-step explanation:
We are given that integers are -3,+1 and -10
We have to explain two ways in which we can use a number line to order the given integers.
The two ways are
1.Arrange in increasing order:From least to greatest
2.Arrange in decreasing order: From greatest to least
We know that when we go left side of zero on a number line then the value decreases and when we go right side of zero then the value increases.
1.-10 is smallest integer in the given integers and 1 is a largest integer.
Therefore, -10,-3,1.
2.In decreasing order
1,-3,-10