Answer:
10
Step-by-step explanation:
1. Write an equation to represent the ratio of the sides to the corresponding sides in the second figure.
6/9 = x/15
6 and x are both numerators because they are corresponding sides and 9 and 15 are both numerators because they are corresponding sides.
2. Solve for x.
multiply both sides by 9
6 = 9x/15
multiply both sides by 15
90 = 9x
solve for x by dividing both sides by 9
x = 10
*sorry if the explanation was confusing but I hope you understand with the equation and numbers
The number of 90° angles formed by the intersections of and the two parallel lines and is
.
Answer:
4.
Step-by-step explanation:
the diameter of a circle is 14in. Find its area in terms of pie(urgent)
The area of a circle is equal to:
[tex]\pi \times {r}^{2} [/tex]
r = 1/2 the diameter
1/2 of 14 is 7
7 squared is 49
The area is 49π
PLEASE ANSWER ASAP AND PROVIDE EXPLANATION! A copy machine is set up to enlarge an original in the ratio 2:3. What is this enlargement in percent?
Answer:
50%
Step-by-step explanation:
Enlarging it in the ratio 2:3 means dividing it by 2 and multiplying it by 3.
Lest's pretend the original size was 100 in. 100/2x3=150
So in this case we enlarged it by 50 in. which is 50% of 100.
So, the enlargement as a percentage is 50%
Answer:
50% more
3-2=1
1/2=0.5
0.5=50%
You can also double check by adding half of two and checking if it is 3
2 x 0.5 = 1
2 + 1 = 3
50% increase
Hope this helps
Step-by-step explanation:
A man purchased 10 pens. He sold 5 pens at 25% profit and the remaining 5
pens at [tex]16 \frac{2}{3} [/tex]% loss. If he received Rs 625 in total, find the cost price of each pen.
help!!!
Answer:
Rs 60
Step-by-step explanation:
[tex]5x \times (1+25\%)+5x \times (1-16\frac{2}{3}\%)=625[/tex]
[tex]5x(1+0.25)+5x(1-1/6)=625[/tex]
[tex]5x(1.25)+5x(5/6)=625[/tex]
[tex]10.416667x=625[/tex]
[tex]\frac{10.416667x}{10.416667}=\frac{625}{10.416667}[/tex]
[tex]x=59.99999...[/tex]
[tex]x=60[/tex]
I need help with the ye old math
Answer:
24 scoops
Step-by-step explanation:
Each scoop is 1/4 and each bird feeder needs 1 1/2. 6 scoops of 1/4 make one bird feeder and for 4 bird feeders you would need 24 scoops.
I’m in need of major help with my Intermediate Algebra. Anyone please I need to pass my summer class.
Answer:
oki
Step-by-step explanation:
what do you need help with? :)
9. How many ounces of a 25% alcohol solution must be mixed with 5 ounces of a 30% alcohol solution to make a 26% alcohol
solution?
ounces
The amount of 25% alcohol solution is
(Type an integer or a decimal.)
Answer:
27 Oz of 25% alcohol
Step-by-step explanation:
--percent ---------------- quantity
Alcohol I 30 ---------------- 18 Oz
alcohol II 25 ---------------- x Oz
Mixture 27 ---------------- 18 + x Oz
30*18+25x=27(18+x)
540+25x =486+27 x
25x-27x =486+540
-2x=-54
/ -2
x = 27
27 Oz of 25% alcohol
For the equations given below, which statement is true?
-21 = 14
6.1 = -42
A. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first
equation by -3.
B. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first
equation by 3.
C. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first
equation by -4.
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value.
Answer:
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value
Step-by-step explanation:
-21=14 Equ(1)
6.1=-42 Equ(2)
Multiplying the first equation by -3 will give
-63= -42
Which is not equivalent to the second equation
Multiplying the first equation by 3, we have
-63=42
Not equivalent to the second equation
Multiplying both sides of the first equation by -4, we have
84=56
Not equivalent to the second equation
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value
what are the steps and answer
Answer:
Trust me it’s I disagree
Step-by-step explanation:
So you have to use the Pythagorean Theorum which is [tex]a^2+b^2=c^2[/tex] and in this case a is 70 and b is 40.
So if we plug those numbers in we have to square a and b and add them which is 6,500 and to find c we have to find the square root of 6500 which is about 80 so lines PR and QR are different
Answer:
It's I disagree
Step-by-step explanation:
The end points of AB are A(2,3) and B(8,1). The perpendicular bisector of AB is CD and point C lies on AB. The length of CD is √10 units. The coordinates of point C are?
Answer and Step-by-step explanation:
Answer:
The coordinates of C are (5 , 2)
The slope of CD is 3
The coordinates of D are (6 , 5) and (4 , -1)
Step-by-step explanation:
* Now lets study the problem
- The ends points of line AB are A = 2 , 3) and B = (8 , 1)
- CD is the perpendicular bisector of AB, and C lies on AB
- That means:
# C is the mid-point of AB
# The slope of AB × the slope of CD = -1 (one of them is a multiplicative
inverse and additive inverse of the other)
-Ex: the slope of one is a/b, then the slope of the other is -b/a
* The mid-point between two points (x1 , y1) and (x2 , y2) is:
[(x1 + x2)/2 , (y1 + y2)/2]
∵ C is the mid-point of AB
∴ C = [(2 + 8)/2 , (3 + 1)/2] = [10/2 , 4/2] = (5 , 2)
* The coordinates of C are (5 , 2)
- The slope of a line passing through points (x1 , y1) and (x2 , y2) is:
the slope = (y2 - y1)/(x2 - x1)
∴ The slope of AB = (1 - 3)/(8 -2) = -2/6 = -1/3
∵ CD ⊥ AB
∴ The slope of CD × the slope of AB = -1
∴ The slope of CD = 3
* The slope of CD is 3
- The length of a line passing through points (x1 , y1) and (x2 , y2) is:
the length = √[(x2 - x1)² + (y2 - y1)²]
∵ The length of CD = √10
∵ Point D is (x , y)
∴ (x - 5)² + (y - 2)² = (√10)²
∴ (x - 5)² + (y - 2)² = 10 ⇒ (1)
∵ The slope of CD is (y - 2)/(x - 5) = 3 ⇒ by using cross multiply
∴ (y - 2) = 3(x - 5) ⇒ (2)
- Substitute (2) in (1)
∴ (x - 5)² + [3(x - 5)]² = 10 ⇒ simplify
* [3(x - 5)]² = (3)²(x - 5)² = 9(x - 5)²
∴ (x - 5)² + 9(x - 5)² = 10 ⇒ add the like terms
∴ 10(x - 5)² = 10 ⇒ ÷ 10 both sides
∴ (x - 5)² = 1 ⇒ take √ for both sides
∴ x - 5 = ± 1
∴ x - 5 = 1 ⇒ add 5 to both sides
∴ x = 6
* OR
∴ x - 5 = -1 ⇒ add 5 to both sides
∴ x = 4
- Substitute the values of x in (2)
∴ y - 2 = 3(6 - 5)
∴ y - 2 = 3 ⇒ add 2
∴ y = 5
* OR
∴ y - 2 = 3(4 - 5)
∴ y - 2 = -3 ⇒ add 2
∴ y = -1
* The coordinates of D are (6 , 5) and (4 , -1)
The number of cards in a deck of playing cards is numbered in the tens.
O A. True
B. False
what’s the solution of y=x-4 and y=1/3x
Answer:
(6, 2)
Step-by-step explanation:
Step 1: Use substitution
x - 4 = 1/3x
Step 2: Isolate x
2/3x = 4
x = 6
Step 3: Plug back into original equation(s)
y = 6 - 4
y = 2
Answer:
(6,2)
Step-by-step explanation:
Let's use the substitution method.
x-4=1/3x
3x-12=x
3x=x+12
2x=12
x=6
y=6-4
y=2
Solve C = 2mr for r could not make the correct sign for m
Answer:
C = 2mr =
r=
m=
Step-by-step explanation:
Not sure if it's correct.
If the equation below is solved by graphing, which statement is true?
log(6x + 10) = log 1 x
92
Answer:
92
Step-by-step explanation:
Which expression entered into a graphing calculator will return the probability
that a data value in a normal distribution is between a z-score of -0.18 and a
Z-score of 1.99?
A. normalcdf(0.18, 1.99)
B. normalcdf(-1.99,0.18)
C. normalcdf(1.99, 0.18)
O
D. normalcdf(-0.18, 1.99)
The expression that returns the probability that a data value in a normal distribution is between a z- score of -0.18 and a z-score of 1.99 is (d) normalcdf(-0.18, 1.99)
How to determine the expression?To calculate the probability between two z-scores is to calculate the area between the z-scores.
This is done using the following syntax:
normalcdf(lower bound, upper bound)
From the question, the lower and the upper z-scores are -0.18 and 1.99
So, the formula would be normalcdf(-0.18, 1.99)
Hence, the expression is (d)
Read more about normal distribution at:
https://brainly.com/question/25991460
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 22, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values
Relative Frequency
1-5
6 - 10
11 - 15
16 - 20
21 - 25
What is the relative frequency for the range 1 -57
a. 0.33
b. 0.4
c. 0.2
d. .27
Which of the binomials below is a factor of this trinomial?
5x2 - 5x-100
O A. x + 10
B. X-5
C. X+ 5
D. X-4
Answer:
B
Step-by-step explanation:
Translate the following into an expression: m% of n
Answer:
n(m%)
Step-by-step explanation:
By Translate the following into an expression: m% of n. Thus, the expression is 0.01mn.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We have to Translate the following into an expression:
m% of n
m x 1/100 x n = 0.01mn
Thus, the expression is 0.01mn.
Learn more about simplification;
https://brainly.com/question/17579585
#SPJ2
James earns $1000 weekly base pay as a sales-person and gets a 10% commission on everything he sells. It is said that he sold $20,000 worth of merchandise last month, how much did he earn for the month? Provide an explanation :)) A. $4,000 B. $22,000 C. $6,000 D. $2,000
Answer:
Option C.
Step-by-step explanation:
It is given that James earns $1000 weekly base pay as a sales-person.
We know that, we have 4 weeks in a month. So, monthly salary of james is
Monthly income [tex]=\$1000\times 4=\$4,000[/tex]
It is said that he sold $20,000 worth of merchandise last month and he gets a 10% commission on everything he sells.
Commission [tex]=\$20,000\times \dfrac{10}{100}=\$2,000[/tex]
Total amount = Monthly income + Commission
[tex]=\$4,000+\$2,000[/tex]
[tex]=\$6,000[/tex]
Therefore, the correct option is C.
{y = 308x
y = 122x + 2,338
Solve the linear equation
Answer:
Step-by-step explanation:
So if y=308x then we have to use the substitution method.
y=308x
y=122x+2338
so y=308x=122x+2338
308x-122x=186x
186x=2338
do the division and thats your answer. which is what y equals
"Give your answers to 1 decimal place" help :(
Answer:
[tex]b[/tex] ≈ [tex]12.0[/tex]
Step-by-step explanation:
Using the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse.
[tex]12^2+b^2=17^2\\144+b^2=289\\[/tex]
Subtract 144 from both sides
[tex]b^2=145\\[/tex]
Square root both sides
[tex]b=\sqrt{145}[/tex]
[tex]b[/tex] ≈ [tex]12.0[/tex]
Answer:
Step-by-step explanation:
[tex]12^{2} + b^{2} = 17^{2} \\144 + b^{2} = 289\\b^{2} =289-144\\b^{2} =145\\b=\sqrt{145} \\b = 12.04\\b = 12[/tex]
Hope it helps tell me if its right
PLEASE HELP ASAP!!
Determine the value of k that would make these two functions inverses.
Answer: K = 6
Step-by-step explanation:
If you find the inverse of the inverse function, it will return back to initial function.
The inverse of r^-1 (x) will give r(x).
To find the inverse of r^-1(x), let it be equal to y. Interchange y and x for each other and make y the subject of formula. That is,
Y = 2x^2 - 14
Interchange y for x
X = 2y^2 - 14
2y^2 = x + 14
Y^2 = x/2 + 14/2
Square both side
Y = sqrt ( x/2 + 7 )
It is only when K = 6, that will can get the value above.
Solve x/2 + y/3 = 1 for x
Answer:
[tex]x[/tex] = - [tex]\frac{2y}{3}[/tex] + 2
Step-by-step explanation:
Solve for [tex]x[/tex] by simplifying both sides of the equation , isolating the variable.
Hope this helped you, Also please let me know if anything is unclear or wrong!
Answer:
Step-by-step explanation:
Michelle kicks a soccer ball up into the air from the ground. The graph represents the height of the ball, in feet, as a function of time, in seconds. What is the domain of the function represented by the graph? Use the on-screen keyboard to type your response in the boxes below. __≤x≤ __
Answer:
D 6 seconds
Step-by-step explanation:
Hope this helps!!! Please amrk as Brainlyest
Brainliest for whoever gets this right!
Please help ASAP!
Find the inequalities which describe the region that’s shaded
Answer:
The lines that make this up are y = 5, x = 4 and y = x so the answer is y ≤ 5, x ≥ 4 and y ≥ x.
At a profit of 8% a shopkeeper sold a calculator for Rs 1,382.40. If he wants to increase his profit by 2%, at what price should he sell the calculator?
Answer:
Step-by-step explanation:
A car travels 22 miles for every gallon of gasoline used. The table below represents this relationship. Gas Mileage Distance Traveled (miles) Gasoline Used (gallons) 22 1 44 2 x 3 88 4 Which equation correctly shows a pair of equivalent ratios that can be used to find the unknown? StartFraction 1 over 22 EndFraction = StartFraction x over 2 EndFraction StartFraction 22 over 1 EndFraction = StartFraction x over 2 EndFraction StartFraction 1 over 22 EndFraction = StartFraction x over 3 EndFraction StartFraction 22 over 1 EndFraction = StartFraction x over 3 EndFraction
Answer: The answer is the second one/b.
Answer:
D. 22/1=x/3
Step-by-step explanation:
Well what you multiply by the top you must do the bottom and opposite way also goes, sometimes so to get three as shown in (x/3) you must use the 1 from (22/1) times something to equal 3. In this it would be 1*3=3 so I multiplied three to the bottom and what I do the the bottom I haft to do to the top so 22*3=x and x is equal to 66 witch makes (D. 22/1=x/3) the correct option. If you want or need to check a good way to is to use a calculator to multiply 22*3 just as a small check up.
what is the amount of the discount
Answer:
The discount is $3.75.
Step-by-step explanation:
You can cross-multiply and divide: the original price can be multiplied by the percent off and then divide it by 100.
12.5×30=375
375÷100=3.75 which is the amount of the discount.
1/3 expressed as a decimal fraction is? (Round to the nearest thousandths)
Answer:
1/3=0.33333333333...
Nearest thousandths would be:
0.333Answer
0.333
Step-by-step explanation:
you would divide 1 by 3
5) A recipe for cookies calls for 2 cups of milk for 3 cups of Flour. You decide that you want to make more cookies than the recipe calls for. You have enough to use 9 cups of flour. How many cups of milk is needed if you use 9 cups of flour?
Answer: If you want to make more cookies then what is called for in this situation then you would need 6 cups of milk.
Step-by-step explanation: You have 2 cups of milk and 3 cups of flour of course. In order to make a complete batch you need 2 cups of milk and 3 cups of flour. In order to make a second batch you need the same things as you did for the first batch. Therefore two batches of cookies requires 4 cups of milk and 6 cups of flour. In this situation you want to make 3 batches of cookies. The required items are 6 cups of milk and 9 cups of flour.