Answer:
50
Step-by-step explanation:
X/2 +15=40
X=50
That's the answer
The variable y varies directly as x and inversely as z. When x = 4 and z= 14, y=2.
Write a combined variation equation and find y when x = 6 and z= 3.
Given:
The variable y varies directly as x and inversely as z. When x = 4 and z= 14, y=2.
To find:
The combined variation equation and find y when x = 6 and z= 3.
Solution:
The variable y varies directly as x and inversely as z.
[tex]y\propto \dfrac{x}{z}[/tex]
[tex]y=k\dfrac{x}{z}[/tex] ...(i)
Where, k is the constant of proportionality.
Putting x=4, y=2 and z=14, we get
[tex]2=k\dfrac{4}{14}[/tex]
[tex]2=k\dfrac{2}{7}[/tex]
[tex]2\times \dfrac{7}{2}=k\dfrac{2}{7}\times \dfrac{7}{2}[/tex]
[tex]7=k[/tex]
Putting k=7 in (i), we get
[tex]y=7\dfrac{x}{z}[/tex]
Putting x=6 and z=3, we get
[tex]y=7\times \dfrac{6}{3}[/tex]
[tex]y=7\times 2[/tex]
[tex]y=14[/tex]
Therefore, the required equation is [tex]y=7\dfrac{x}{z}[/tex] and the value of y is 14 when x = 6 and z= 3.
Find the next 3 terms from the geometric sequence below. − 2 , 8 , − 32 , . . .
Answer:
128, -512, 2048
Step-by-step explanation:
the next term is calculated by multiplying the previous term by -4
Solve the quadratic inequality
4x^2-25<0
I hope it helps you ❤️❤️❤️❤️
The solution to the inequality, 4x^2 - 25 < 0 is determined as x < 5/2.
Solution to the inequality
The solution to the inequality is obtained by solving the inequality as shown below;
4x^2 - 25 < 0
add 25 to both sides of the equation;
4x² < 25
divide both sides by 4
x² < 25/4
take square root of both sides
x < 5/2
Thus, the solution to the inequality, 4x^2 - 25 < 0 is determined as x < 5/2.
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Can someone help?
Need to find x, and measure of angle DEF
Step-by-step explanation:
(x+20)=9x
4x=20
x= 5°
because GEF AND DEG ARE EQUAL
THEN DEF= 2 * GEF
DEF = (9*5)*2=90
DEF= 90°
una parcela de 45 m de ancho y 70 m de largo cuesta 78.750.000 ¿Cuánto cuesta otra parcela de terreno de igual calidad de 60 por 50 m?
Answer:
75000000
Step-by-step explanation:
se multiplica
45×70= 3150 metros
luego multiplica
60×50= 3000 metros
luego se divide
78750000/ 3150 = 25000
y por último multiplica
25000×3000
conclusiones
el metro cuadrado de tierra vale 25000 por lo que los 3000 metros cuadrados que son del terreno de 60x50 estan valorados en 750000000
A-180
B-360
C-270
D-90
PLS HELP ASAP!!
Answer:
its d
Step-by-step explanation:
HELP QUICK PLEASE!!!
8. Calculate the return on investment in dollars and as a percentage for an investment that you purchase for $500 and sell for $600. TIP: If you don't remember how to calculate return on investment, review the Calculating ROI pages in Section 4, Lesson 2.
Answer:
100
Step-by-step explanation:
graphed function?
As the x-values go to positive infinity, the function's
values go to negative infinity.
As the x-values go to zero, the function's values go to
positive infinity.
As the x-values go to negative infinity, the function's
values are equal to zero.
As the x-values go to positive infinity, the function's
to values go to positive infinity.
Mark thes, and retum
and Exit
Next
Submit
Answer:
A. As the x-values go to positive infinity, the function's values go to negative infinity.
Step-by-step explanation:
HELP WHAT IS THE SLOPE!!!!!
Answer:
-4/5
Step-by-step explanation:
y=mx+c
m=gradient=-4/5
what is the simplified fraction of 30/48 using the giant one
Answer:
The answer is
[tex] \frac{30}{48} = \frac{15}{24} [/tex]
Answer:
Hello! You can Simplify 30/48 to 5/8
I do not think you can make a whole with 30/48
what is x? I WILL MARK BRAINLIEST FOR FIRST WHO ANSWERS!!!!!
Answer:
It is 19
Step-by-step explanation:
Hope this helps.
I'll mark brainliest pls help!
im stuppid
Answer:
c
Step-by-step explanation:
Plzzz help I will give you 25 points
Someone help me I’m confused? I only have 20 minutes till the timer runs our
How to find the constant rate of proportionality
Step-by-step explanation:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
PLEASE I need help on these 4 problems you don’t have to do them all but if you can at least do one of them TYSM
Answer:
For right angle triangle,
we use Pythagoras theorem that is:
[tex]c^{2} =a^{2} +b^{2}[/tex]
c = [tex]\sqrt{a^{2} +b^{2} }[/tex]
For question 1:
c = ?
a = 40
b = 9
putting them in formula,
c = [tex]\sqrt{40^{2} + 9^{2} }[/tex]
c = 41
For question 2:
c = ?
a = 12
b = 13
putting them in formula,
c = [tex]\sqrt{12^{2} + 13^{2} }[/tex]
c = approximately 17.69181
For question 3:
c = 35
a = 20
b = ?
putting them in formula,
[tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]35^{2} = 20^{2} + b^{2}[/tex]
1225 = 400 + [tex]b^{2}[/tex]
[tex]b^{2}[/tex] = 1225 - 400
[tex]b^{2}[/tex] = 825
[tex]\sqrt{b^{2} } = \sqrt{825}[/tex]
b = 5 [tex]\sqrt{33}[/tex]
For question 4:
c = 37
a = 20
b = ?
putting them in formula,
[tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]37^{2} = 20^{2} + b^{2}[/tex]
1369 = 400 + [tex]b^{2}[/tex]
[tex]b^{2}[/tex] = 1369 - 400
[tex]b^{2}[/tex] = 969
Taking square root on both sides
b = 31.12
Hope it helps.
34 + 35!!
Write how you got it lol
Answer: 69
Step-by-step explanation:
First, you add the 34 with the 35.
You can check your answer by subtracting the answer 69 with 35 and if the answer comes out as 34 it is correct.
Answer: 69 lol
Step-by-step explanation: i got it by adding 34 + 35 lol
a. How far is the spot on the beach from the parking lot?
b. How far will he have to walk from the parking lot to get to the refreshment stand?
Show work please.
The altitude of the right triangle is the geometric mean of the 2 parts of the side it separates.
a. The answer would be sqrt(18*32)=24
The question to the second question can be answered by using the Pythagorean theorem.
32^2+24^2=1600=40^2
b. The answer would be sqrt40^2=40
The beach, the parking lot and the refreshment stand are illustrations of similar triangles.
The distance between the spot and the parking lot is 24 mThe distance between the refreshment stand and the parking lot is 40 m(a) The distance between the spot and the parking lot
Represent this distance with d.
So, the equivalent ratio is:
[tex]\mathbf{32:d = d : 18}[/tex]
Express as fractions
[tex]\mathbf{\frac {32}d = \frac{d}{ 18}}[/tex]
Cross multiply
[tex]\mathbf{d \times d = 32 \times 18}[/tex]
[tex]\mathbf{d^2 = 576}[/tex]
Take square roots
[tex]\mathbf{d = 24}[/tex]
Hence, the distance between the spot and the parking lot is 24 m
(b) The distance between the refreshment stand and the parking lot
Represent this distance with d.
Using Pythagoras theorem we have:
[tex]\mathbf{d^2 = 32^2 + 24^2}[/tex]
[tex]\mathbf{d^2 = 1600}[/tex]
Take square roots
[tex]\mathbf{d = 40}[/tex]
Hence, the distance between the refreshment stand and the parking lot is 40 m
Read more about similar triangles at:
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Please
Explain, in detail, the steps on how to factor the following trinomial: 3x^2 + 5x + 2
Answer:
Step-by-step explanation:
Hope this helps
Based on its number of terms, what is the
polynomial 2p2 – 2p called?
PLS HELP
Answer: quadratic
Step-by-step explanation:
The given polynomial is a quadratic polynomial with two terms.
The given expression is:
[tex]2p^{2} -2p[/tex]
What is a quadratic polynomial?A quadratic polynomial is a single variable polynomial with the maximum power of the variable as 2.
Maximum power of p in the given expression =2
So, the given polynomial is a quadratic polynomial.
Hence, the given polynomial is a quadratic polynomial with two terms.
To get more about polynomials visit:
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calculate 50% of 200
Answer:
100
Step-by-step explanation:
hopes this helps
Answer:
100
Step-by-step explanation:
Learning task 2
A. Simplify
1.) (-m^4)^3
2.) (10c2/2d^3)^2
3.) (3a^2bc^3)^3
4.) (2x^3y^2z)(3x^2yz^2)
5.) (3m^2n^3/xy^2)^2 (x^3yz^2/2mn^2)^3
A) Answer:
[tex] - m ^{12} [/tex]
B) Answer:
[tex] \frac{25 {c}^{4} }{ {d}^{6} } [/tex]
C) Answer:.
[tex]27 {a}^{6} b ^{3}c^{9} [/tex]
D) Answer:
[tex] {6x}^{5} {y}^{3} {z}^{3} [/tex]
E) Answer:
[tex] \frac{ {9m}^{7} {n}^{12} {y}^{7} {x}^{7} {z}^{6} }{8} [/tex]
Amelie has 385 muffins that she must package into boxes. Each box must hold 9 muffins. Amelie divides 385 by 9 and gets an answer of 42 R 7.
What is the correct interpretation of R 7 for this situation?
1st one : Amelie can fill at most 42 boxes with 7 muffins each
2nd one :Amelie has 7 muffins left after filling 42 boxes.
3nd one :Amelie has 7 boxes left after filling 42 boxes.
4th one :Amelie can fill 7 more boxes after filling 42 boxes.
Answer:
2nd one: amelia has 7 muffins left after filling 42 boxes
Step-by-step explanation:
135 in the ratio of 9:6
Step-by-step explanation:
9x+6x=135
15x=135
x=9
9x=81
6x=54
Leila needs to buy plastic spoons. Brand A has a box of 25 spoons for $1.97. Brand B has a box of 48 spoons for $2.98. Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
The unit price is the price of a single unit.
To find it, you need to find the quotient between the total price and the number of objects you get for that price.
Brand A:
You get 25 spoons for $1.97
Then the unit price is:
unit price of brand A = $1.97/25 = $0.079
Brand B:
You get 48 spoons for $2.98
Then the unit price is:
unit price of brand B: $2.98/48 = $0.062
Here we can see that the unit price for brand B is smaller, then the better buy is brand B.
What is 5.545 as a percent?
Answer:
545.5%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.
5.545 ×
100
100
= (5.545 × 100) ×
1
100
=
554.5
100
Write in percentage notation: 554.5%
on a map, the length of a nature center Trail is 6.5 cm. If the scale is 2 cm to 10 km oh, what is the actual Trail? BRAINLY
Answer:
32.5 km
Step-by-step explanation:
6.5 / 2 = 3.25
3.25 x 10 = 32.5 km
Hope that helps!
Answer:
32.5 km
Step-by-step explanation:
Our ratio is 2cm: 10km
We can also write a ratio to look like a fraction. I'm attaching a picture. Sometimes it's easier to see that way.
We cross-multiply, then divide.
Ask any questions in the comments.
Which expression is equivalent to (60)2 – (12)?? (60 – 12)
(60 - 12) (60 - 12)
(60 + 12)(60 – 12)
(60 + 12)
Answer:(60 + 12)(60 – 12)
Step-by-step explanation:
Melissa earns a 2% commission on the first $750 of sales she makes each week. She earns a 3% commission on the amount of her sales that are greater than $750 each week. Melissa earned $37.50 in commissions last week.
Which equations correctly calculate how much money in dollars, x, Melissa made in sales last week?
Select all that apply.
0.02(750)+0.03(750−x)=37.5
0.03(x−750)=37.5−15
15+0.03x−22.5=37.5
0.02(750)+0.03(x−750)=37.5
15−0.03x+22.5=37.5
0.03(750−x)=37.5−15
The equations that are correct are:
0.02(750) + 0.03(x - 750) = 37.5
0.03(750 - x) = 37.5 - 15
Given:
Melissa earns a 2% commission on the first $750 of sales.
She earns a 3% commission on greater than $750 each week.
1. Sales up to $750:
Melissa earns a 2% commission on the first $750 of sales.
=0.02(750)
= 15
2. Sales exceeding $750:
Melissa earns a 3% commission on the amount of sales that exceed $750.
0.03(x - 750) = 37.5 - 15
Combining both equations, we have:
0.02(750) + 0.03(x - 750) = 15 + 37.5 - 15
15 + 0.03x - 22.5 = 37.5
0.03x - 7.5 = 37.5
Adding 7.5 to both sides
0.03x = 45
Dividing both sides by 0.03
x = 1500
Therefore, the correct equations that calculate the amount of money Melissa made in sales last week are:
Equation 1: 0.02(750) + 0.03(x - 750) = 37.5
Equation 2: 0.03(750 - x) = 37.5 - 15
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Find the probability of rolling a 5 or 6 on a fair dice
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex]
This is because there is only one "5" and one "6" in a dice. Moreover the total number of numbers in a dice are 6 so the denominator will be 6. Then when the word 'or' is present it means that both the probabilities must be added.
P (of rolling a 5 or 6 on a fair dice) = [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex]
[tex]\frac{2}{6}[/tex] can be simplified further. Both 2 and 6 are factors of 2 so..
[tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
P (of rolling a 5 or 6 on a fair dice) = [tex]\frac{1}{3}[/tex]