Solve the proportion. 2/x-3 = 5/x
a. 5
b. 2
c.10
d.15
Answer: a.5
Step-by-step explanation: You cross multiply and get 2x=5x-15. You then simplify this, getting -3x=-15. So the answer is 5.
Pls solve!!!! ill give brainlyist
Seth solved a quadratic equation. His work is shown below, with Step 3 missing.
What could Seth have written as the result from Step 3?
+ (x 1)2 + 5 = 23
5(x - 1)2 = 18
Step 1
(x - 1)2 = 36
Step 2
Step 3
x = -5 or = 7
Step 4
Answer:
|x - 1| = 6
Step-by-step explanation:
After step 2, we have that:
(x - 1)^2 = 36
and after step 4, we have the results:
x = -5 or x = 7
After step 2, what we can do in step 3 is: use square root in both sides of the equation:
|x - 1| = 6
This equation can be split in two:
x - 1 = 6 -> x = 7
x - 1 = -6 -> x = -5
So Seth could write this equation in step 3:
|x - 1| = 6
The value of x from the given expression are 5 and 7
Solving expression for the variableGiven the expression
5(x - 1)^2 = 18
Step 2 as shown is given as:
(x - 1)^2 = 36
Take the square root of both sides
√(x - 1)^2 = √36
x - 1 = 6
The solutions are x - 1 = 6 and x + 1 = 6
x = 6 + 1 = 7
x = 6 - 1
x = 5
Hence the value of x from the given expression are 5 and 7
Learn more on expression here: https://brainly.com/question/22048677
Shanti wrote the predicted values for a data set using the line of best fit y = 2.55x – 3.15. She computed two of the residual values.
What are the values of a and b?
a = 0.4 and b = –0.15
a = –0.4 and b = 0.15
a = 8.6 and b = 14.25
a = –8.6 and b = –14.25
[tex]a=4.1-4.5=-0.4\\b=7.2-7.05=0.15[/tex]
The values of a and b are,
⇒ a = -0.4 and b = 0.15
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, Residual value is the difference between the observed value of the dependent variable (y) and the predicted value (ŷ) in a data set.
i.e. Residual value = given value - predicted value
From the table, the residual value corresponding to a has 4.1 as the given value and 4.5 as the predicted value.
Therefore, We get;
a = 4.1 - 4.5
a = -0.4
Similarly, the residual value corresponding to b has 7.2 as the given value and 7.05 as the predicted value.
Therefore, We get;
b = 7.2 - 7.05
b = 0.15
Therefore, a = -0.4 and b = 0.15
Learn more about the mathematical expression visit:
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please help me ASAP !!
Answer:
Step-by-step explanation:
<1+<2=90 complementary
<1=4 times <2
X+4x=90
5x=90
X=18
<1=18×4=72 degrees
<2=18 degrees
<1=<3 because they are vertical
Do <3= 72
<3+<4=180 because they are supplementary
72+<4=180
<4=108 degrees
<3=72 degrees
Write the word sentence as an inequality.
a number y added to 5.2 is less than 23
The inequality is: ______?
Answer:
[tex]y+5.2<23[/tex]
Step-by-step explanation:
Add y and 5.2 and use the less than symbol < to show that 23 is greater than the sum of y and 5.2.
If you have trouble remembering the directions of < > and what they mean, my teacher taught me that the alligator wants more food. The "mouth" opens towards the biggest value.
if a tangent ratio is 4/20, what is the measure of the tangent? A) 0.2
B) 3.8
C)8.2
D) 5.2
Answer:
A
Step-by-step explanation:
The tangent of 4/20 is 0.20271 and u round to the 4th digit
What is the sum or difference?
2y^5-4y^5
Calculate the value of m
Normally a game is $33.00. But the new edition version is going to be $36.62. This is an increase of what percent.
Answer: 10.9697% increase
Hope this helped
dan made $242 for 11 hours of work. At the same rate , how many hours would he have to work to make $ 154
Answer: 7 hours to make $154.
Step-by-step explanation: First we want to know how much Dan makes in 1 hour of work. To do this simply divide 242 by 11. 242/11 = 22, or $22 per hour of work.
T find how many hours he would have to work to make $154, simply divide 154 by 22. 154/22 = 7, or 7 hours of work.
So, Dan will have to work 7 hours to make $154.
Final answer:
Dan earns $22 per hour, so to make $154, he would need to work for 7 hours at that same rate.
Explanation:
Dan made $242 for 11 hours of work. To calculate the rate of pay per hour, we would divide $242 by 11 hours, which gives us a rate of $22 per hour. The question asks how many hours Dan would need to work to make $154 at the same rate. To find this, we divide $154 by the hourly rate of $22.
$154 ÷ $22 per hour = 7 hours
Therefore, Dan would have to work for 7 hours to make $154 at the same rate of pay.
If x = 48 cm and y = 55 cm, what is the length of w?
A. 77 cm
B. 37 cm
c. 103 cm
D. 73 cm
The length of 'w' is approximately 73 cm.
Explanation:To find the length of 'w,' we can use the Pythagorean Theorem since 'w' is the hypotenuse of a right triangle with legs 'x' and 'y.' The Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs. So, we have:
w^2 = x^2 + y^2
Substituting the given values, we get:
w^2 = 48^2 + 55^2
w^2 = 2304 + 3025
w^2 = 5329
Taking the square root of both sides, we find:
w = √5329
w ≈ 73 cm
Final answer:
After performing the calculations, the hypotenuse w is found to be 73 cm, which corresponds to option D.
Explanation:
To find the length of w, which is the hypotenuse of the right-angled triangle with sides x = 48 cm and y = 55 cm, we use the Pythagorean theorem.
This theorem states that in a right triangle, the square of the length of the hypotenuse (w) is equal to the sum of the squares of the lengths of the other two sides (x and y).
According to the theorem:
w² = x² + y²
Plugging in the given values:
w² = 482 + 552
w² = 2304 + 3025
w² = 5329
To find w, we take the square root of both sides:
w = √5329
w = 73 cm
Therefore, the length of w is 73 cm, which corresponds to option D.
The width of a box is 12 cm. The length of the box is two times the width. The height is 10 cm longer than the length. What is the volume of the box? (V = lwh)
A) 3,528 cm3
B) 9,792 cm3
C) 120 cm3
D) 240 cm3
Answer:
V = 9,792 cm
Step-by-step explanation:
hope that i helped!
Answer:
B) 9792
24*12*34
Which number line shows the correct placement of 20%, 1/3, and 2/3?
Answer with Step-by-step explanation:
We are given that
20%
When we change percent into fraction we will divide the percent by 100
[tex]\frac{20}{100}=\frac{1}{5}[/tex]
[tex]\frac{1}{3}[/tex]
[tex]\frac{2}{3}[/tex]
We have to find the line which shows the correct placement of given numbers.
Lcm(3,5)=15
[tex]\frac{1\times 3}{5\times 3}=\frac{3}{15}[/tex]
[tex]\frac{1\times 5}{3\times 5}=\frac{5}{15}[/tex]
[tex]\frac{2\times 5}{3\times 5}=\frac{10}{15}[/tex]
Damari needs to paint the circular concrete mural at the park. The mural has a diameter of 45 feet. A gallon of paint covers approximately 300 square feet. Each gallon is $18.99. How much will Damari spend in order to paint the mural? Use 3.14 to approximate π .
Answer:
$100.647
Step-by-step explanation:
Diameter = 45ft
Radius = diameter / 2 = 45 / 2 = 22.5ft.
1 gallon of paint covers 300ft²
1 gallon cost $18.99
The total area of the mural = πr² (since it's circular and area of a circle = πr²)
Area = πr²
Area = 3.14 * (22.5)²
Area = 1589.625ft²
The total area of the mural = 1589.625ft²
1 gallon of paint covers 300ft²
X gallons of paint will cover 1589.625ft²
Making x the subject by cross multiplying
X = (1 * 1589.625) / 300
X = 5.29875 gallons.
5.3 gallons will be required to paint 1589.625ft²
But 1 gallon costs = $18.99
5.3 gallons will cost $ y
y = (5.3 * 18.99) / 1
y = $100.647
Damari will spend $100.647 to paint the mural.
A pancake recipe calls for 1/8 cup of oil per cup of mix. Owen wants to use 3 1/2 cups of pancake mix. He has 1/2 cup of oil. Does Owen have enough oil to make the pancakes? Explain.
Answer:
Owen has enough to make 3 1/2 of pancake mix.
Step-by-step explanation:
Since the ratio is 1/8 cup of oil per cup of mix and Owen has 1/2 a cup of mix, he has enough to cover the 3 cups of mix since that would be 3/8 cups of oil. He has enough to cover 1/2 a cup as well because that'd be 1/16 cup of oil.
Answer:
Owen has enough to make 3 1/2 of pancake mix.
Step-by-step explanation:
Solve for an angle in right triangles help
Answer:
64.62 degrees
Step-by-step explanation:
Cosine adjacent/hypotenuse (sides)
CosB = (3/7)
B = [tex]Cos^{-1}[/tex](3/7)
B = 64.62
Answer:
64.62
Step-by-step explanation:
AC²= AB²-BC²
[tex]AC = \sqrt{ {(7)}^{2} - ({3)}^{2} } [/tex]
[tex] = \sqrt{49 - 9} = \sqrt{40} = 2 \sqrt{10} [/tex]
[tex] \tan(B) = \frac{AC }{ BC} [/tex]
[tex] B = { \tan}^{ - 1} \frac{2 \sqrt{10} }{3} [/tex]
[tex] = 64.62[/tex]
Which equation describes the circle having center point (3,5) and radius r = 2
in standard form?
Answer:
x^2 + y^2 - 6x - 10y + 30 = 0.
Step-by-step explanation:
In factor form the general equation is:
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the centre and r = the radius.
So here we have:
(x - 3)^2 + (y - 5)^2 = 4.
Converting to Standard Form:
= x^2 - 6x + 9 + y^2 - 10y + 25 = 4
x^2 + y^2 - 6x - 10y + 9 + 25 - 4 = 0
x^2 + y^2 - 6x - 10y + 30 = 0.
Which formula should be used to find the length of EF
Answer:
The answer is D, the distance formula.
Step-by-step explanation:
The distance formula on answer choice D is how you find the distance between two points.
If mVQ=(y+7), mQR=(x+11), mRS=(3y),and mST=65,findthevaluesofxandy
Answer:
The values of x and y are x = 25 and y = 18
Step-by-step explanation:
The measure of an arc is equal to the measure of the central angle subtended by it
In circle W
∵ W is the center of the circle
∵ m∠QWS = 90°
∵ ∠QWS is subtended by arc QS
- Use the rule above
∴ m∠QWS = m arc QS
∴ m arc QS = 90°
∵ m arc QS = m arc QR + m arc RS
∵ m arc QR = (x + 11)°
∵ m arc RS = (3y)°
- Add them and equate the answer by 90
∴ (x + 11) + (3y) = 90
- Subtract 11 from both sides
∴ x + 3y = 79 ⇒ (1)
∵ VT passes through W
∴ VT is a diameter in circle W
- Diameter divides the circle into two equal arcs the measure
of its arc is 180° because the measure of the circle is 360°
∴ m arc VQRST is 180°
∵ m arc QRS = 90°
∵ m arc VQRST = m arc VQ + m arc QRS + m arc ST
- Substitute the measures of arc VQRST and QRS
∴ 180 = m arc VQ + 90 + m arc ST
- Subtract 90 from both sides
∴ 90 = m arc VQ + m arc ST
∵ m arc VQ = (y + 7)°
∵ m arc ST = 65°
∴ 90 = (y + 7) + 65
- Add like terms in the right hand side
∴ 90 = y + 72
- Subtract 72 from both sides
∴ 18 = y
Substitute the value of y in equation (1) to find x
∵ x + 3(18) = 79
∴ x + 54 = 79
- Subtract 54 from both sides
∴ x = 25
The values of x and y are x = 25 and y = 18
A cube has a mass of 17 g. Each side of the cube measures 1.8 cm. What is the cube's
density?
Answer:
your answer would be 8.1 g/ cm3
Step-by-step explanation:
hope this helps you.
The unit cost per pound for green beans is represented by the
equation y = 1.2x. Which of these points is NOT on the graph of this
proportional relationship?
A( 0,0)
8 (2.24)
C (4.48)
D (12.10)
Al chose A as the correct answer. How did he get that answer?
The point which is not on the graph is (12, 10)
Using the equation given :
y = 1.2xComparing each point:
(0, 0)y = 1.2(0)
y = 0 (correct)
b.)
(2,2.4)y = 1.2(2)
y = 2.4 (correct)
c.)
(4, 4.8)y = 1.2(4)
y = 4.8 (correct)
d.)
(12, 10)y = 1.2(10)
y = 12 (Incorrect)
The point which is not on the graph is (12, 10)
What is the degree of a constant term?
Answer:
I think it's answer is 0. in case of constant polynomials
Billy has a collection of baseball cards that he has separated into two different value categories. His common cards
are worth $0.50 each, while his premium cards are worth $1.00 each. Together, Billy's entire baseball card collection
of 124 cards is worth $81.50.
Which of the following systems of equations models Billy's baseball card collection?
Answer:
sdfghj
Step-by-step explanation:
idekkk
Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window.
H represents the height of the tree (in centimeters),
t years since Renata moved in.
H=210+33t
How fast does the tree grow?
Answer:
33 cm per year
Step-by-step explanation:
I've already answed this question in the post:
https://brainly.com/question/15882266#readmore
Consider the given function:
[tex]h(t)=210+33t[/tex]
From the linear function, 210 is the height of the tree from when Renata moved to her new home, and 33 states that the tree grows 33 cm per year.
So "How fast does the tree grow?"
The tree grows 33 cm per year.
The diameter of a cake is 12 centimeters and the area of one slice is 4π cm2. in terms of π how many full slices can you cut out of the cake
Step-by-step explanation:
Gievn, the diameter of a cake is 12 cm
Radius of the cake = 6 cm
area of one slice = 4π [tex]cm^{2}[/tex]
in terms of π how many full slices can you cut out of the cake = ?
Area of the cake = area of the circle = π[tex]r^{2}[/tex] = π[tex](6)^{2}[/tex] = 36 π
Area of n slices = area of the cake
(4π ) n = 36 π
n = 9
In terms of π 9 full slices can be cut out of the cake.
Answer:
9 full slices can be cut out of the cake.
Step-by-step explanation:
I’m really lost...........
6^5 x 5^-7
Answer:
0.0995328 OR 7776 /78125
It's okay to be a little lost. When I have exponents and all this "fun" stuff, I use Desmos graphing calculator. It will help you GREATLY. Let me know if you wan the link...
This is to the last question I put: Which graph represents the function?
(Function shown in the first image)
Answer:
.
Step-by-step explanation:
If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year?
The simple interest will be 18$
jennifer walks 8 miles in the same time she can jog 13 miles. if her jogging speed is 8mph faster than her walking speed, how fast does she walk?
Answer:
12.8mph
Step-by-step explanation:
Let 'w' represent her walking speed
->if her jogging speed is 8mph faster than her walking speed
Jogging speed= w+8
Using the time equation i.e time = dist/speed
For walking when distance is 8miles
time = dist / speed= 8/w hrs
For jogging when distance is 13miles
time = dist / speed= 13/(w+8) hrs
Equating the time
jog time = walk time
13/(w+8) = 8/w
By cross multiplying it
13w = 8w + 64
5w = 64
w=64/5
w=12.8mph
Therefore, 12.8mph is her walking speed.