Answer:
z = 42
Step-by-step explanation:
The question can be answered in 2 steps as follows:
Step 1: Calculation of the constant of the variation
The equation for the joint variation can be given as follows:
z = cxy ................... (1)
Where;
z = 60
c = constant = ?
x = 5
y = 6
Substituting the values into equation (1) and solve c, we have:
60 = c * 5 * 6
60 = c * 30
c = 60 / 30
c = 2
Step 2: find z when x = 7 and y = 3
Since from Step 1 c = 2, we now use equation (1) and substitute the values into it to find z as follows:
z = 2 * 7 * 3
z = 42
An inequality is shown below.
Which situation is best represented by the inequality?
Answer:
Option C is the correct answer.
Comment for explaination
Is 1/2 equivalent to 7/12
Answer: No because 1/2 is equal to 6/12 because 1 x6=6 and 2x6 =12 which makes 1/2 equivalent to 6/12 not 7/12
Answer:
no this is false
Step-by-step explanation:
7 is not half of 12
There is a line that includes the point (-5, 2) and has a slope of -3. What is its equation in slope-intercept form?
Answer:
y=-3x-13
Step-by-step explanation:
Answer:
1 .
Step-by-step explanation:
-3 + x ≤ -11
a)x ≤ -8
b)x ≤ 8
c)x ≥ -8
d)x ≥ 8
Answer:
a) x ≤ -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-3 + x ≤ -11
Step 2: Solve for x
[Addition Property of Equality] Add 3 on both sides: x ≤ -8Here we see that any value x smaller than or equal to -8 would work as a solution to the inequality.
In the graph above, what's the distance between (5, –2) and (5, 3)?
Answer:
5
Step-by-step explanation:
To find the distance between two points, subtract the two values and find the absolute value. So in this question, our equation would be |-2-3| which equals |-5| which then solves to 5.
Help please i will gove brainly
Answer:
$0.25 per pound (answer B)
Step-by-step explanation:
We can use any two points to give the answer, by doing the slope of the graph, using the formula:
slope = (y2-y1)/(x2-x1)
Using the points (0, 0) and for example (16, 4)
we have:
slope = (4-0)/(16-0) = 4/16 = 1/4 = $0.25 per pound
which agrees with answer B.
Answer:
B) 0.25 pounds
Step-by-step explanation:
Go up the graph to 4 and div the pounds by 4 and you get 0.25! :)
solve for x x/12−1=−6
x=
Answer:
x=-5
Step-by-step explanation:
x/12-1=-6
12-1
x/11=-6
-11 -11
========
x=-5
Hope that helps
what is (1/2) by the third power?
Answer:1/8
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
1/2 x 1/2 x 1/2 = 1/8
Adinah and her friend planted a maple tree. The expression 3.1a + 5.2 can be used to find the height of the tree, in feet, after a years. How tall is the tree when a = 9
Answer:
33.1
Step-by-step explanation:
The tree would be 33.1 feet in 9 years.
the problem i put in my calculator is 3.1 * 9 + 5.2 , this is because if there is no sign indicating to add, subtract ect. you will multiply
3 + 11 × 8^2 =
PLEASE HELP ASAP
3+11×8²
=3+11×64
=3+704
=707
Answer:
707
Concepts:
Order of Operations: PEMDAS
1. Parenthesis
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction
Left to RightStep-by-step Explanation:
Follow the Order of Operations
Step 1: Solve exponents
3 + 11 × 8^2
8^2 = 64
3 + 11 × 64
Step 2: Solve Multiplication
3 + 11 × 64
11 × 64 = 704
3 + 704
Step 3: Add the Terms
3 + 704 = 707
Hence,
3 + 11 × 8^2 = 707
3(-1.5x+2) = -5(0.5x - 0.4)
Answer:
x=2
Step-by-step explanation:
4+8= 2 x (6-3)
Can somebody help me ASAP
Answer: 12≠6
False
Step-by-step explanation:
what’s this pls help me !!!!!
Step-by-step explanation:
hope it's helpful ❤❤❤❤
THANK YOU
Show all work for the following
Algebraically solve the following system of equations.
(x+2)2+(y-3)2=16
x+y-1=0
Answer:
[tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
Step-by-step explanation:
Given:
[tex](x+2)^2+(y-3)^2=16\\x+y-1=0[/tex]
To find: value of [tex]x,y[/tex]
Solution:
[tex](x+2)^2+(y-3)^2=16\,\,\,...(i)\\x+y-1=0\,\,\,(ii)[/tex]
From (ii),
[tex]x=1-y[/tex]
Put this value of [tex]x[/tex] in (i)
[tex](1-y+2)^2+(y-3)^2=16\\(3-y)^2+(y-3)^2=16\\(y-3)^2+(y-3)^2=16\\2(y-3)^2=16\\(y-3)^2=8[/tex]
[tex]y-3=[/tex] ± [tex]\sqrt{8}[/tex] = ± [tex]2\sqrt{2}[/tex]
[tex]y=3[/tex] ± [tex]2\sqrt{2}[/tex]
At [tex]y=3[/tex] + [tex]2\sqrt{2}[/tex] ,
[tex]x=1-(3+2\sqrt{2})=1-3-2\sqrt{2}=-2-2\sqrt{2}[/tex]
At [tex]y=3-2\sqrt{2}[/tex] ,
[tex]x=1-(3-2\sqrt{2})=1-3+2\sqrt{2}=-2+2\sqrt{2}[/tex]
Solutions are [tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
Find the value of each variable so that the quadrilateral is a parallelogram.
(3y)
(8x-6)°
42°
y =
Complete the inequality to describe the range. −2 y 5
Answer:
-2>y>5
Hope this helps
9
Subtract the following polynomials: *
(1 Point)
(4x2 - 17x3 + 9) - (x² + 9x + 23x² + 11)
0 - 19.73 – 25x2 – 12x – 3
- 10.x3 – 162x2 – 24x - 4
-17x3 - 20x2 – 9x 2
-16x3 – 243x2 – 12x – 3
Step-by-step explanation:
1) Your problem → (4x^2 - 17x^3 + 9) - (x^2 + 9x + 23x^2 + 11)
(-17x^3+4x^2+9)-(x^2+23x^2+9x+11)
=-17x^3+4x^2+9-x^2-23x^2-9x-11
=-17x^3+4x^2-x^2-23x^2-9x+9-11
=-17x^3-20x^2-9x-2
2) Your problem → 0 - 19.73 - 25x^2 - 12x - 3
=0-19.73-25x2-12x-3
=-25x^2-12x-22.73
3) - 10.x^3 – 162x^2 – 24x - 4
4) Your problem → 17x^3 - 20x^2 - 9x^2
=17x^3-20x^2-9x^2
=17x^3-29x^2
5) -16x^3 – 243x^2 – 12x – 3
(2x + 3y - 4) + (5x + 2)
Please explain how you got the answer aswell
A recipe calls for 1/3 cup of sugar for every 1/2 cup of flour. In cups, how much sugar is needed per one cup of flour?
Answer:
1 equals two of 1/2 which means you get the equation 1/3 x 2 for the answer
Write an equation in slope intercept form that is perpendicular to 3x + 2y equals 12 and passes through the point (1,2)
Answer:
The equation is y = (2/3)x + (4/3).
Step-by-step explanation:
First, you have to change the equation into slope-intecept formula to find its gradient (slope) :
[tex]3x + 2y = 12[/tex]
[tex]2y = - 3x + 12[/tex]
[tex]y = - \frac{3}{2}x + 6[/tex]
Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :
[tex]m1 \times m2 = - 1[/tex]
[tex] - \frac{3}{2} \times m2 = - 1[/tex]
[tex]m2 = - 1 \div - \frac{3}{2} [/tex]
[tex]m2 = \frac{2}{3} [/tex]
Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :
[tex]y = \frac{2}{3}x + b[/tex]
[tex]let \: x = 1,y = 2[/tex]
[tex]2 = \frac{2}{3} (1) + b[/tex]
[tex]b = 2 - \frac{2}{3} [/tex]
[tex]b = \frac{4}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
please help. loll
which expression is equal to 1/3b-7?
1)1/3(b+21)
2)-1/3(b-21)
3)-1/3(b+21)
4)1/3(b-21)
Answer:
4 1/3(b-21) im pretty sure
The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation that relates x and y. Write any fractions in simplest form.
y=20; x=12
k=
y=
Answer:
y=(5/3)x
Step-by-step explanation:
Since y varies directly with x, then the constant of proportionality is equal to k=y/x. Since y/x=20/12=5/3, then k=5/3. This means the equation to relate x and y is y=(5/3)x
Based on the piecewise graph, which is the domain?
Which table represents the relationship between the x-values and the y-values in the equation y = -5x + 1?
Answer:
x=0 the value of y is 1/1 so this line cuts the y axis at y=1.00000. y=0 the value of x is 1/5 our line therefore cuts the axis at x=0.20000
si el area del cuadrado es de 80 m cuanto vale la m
Answer:
El lado del cuadrado es de 20 my el área del cuadrado es de 400 metros cuadrados. Paso a paso ... El perímetro de un cuadrado es 80 m. ¿Cuál es la longitud de cada lado del cuadrado ... Para celosía & lt; L, * & gt; si a, b, ce L thena + (a e b) = a se llama.
Step-by-step explanation:
Please help meee!!!!!!
Answer:
A. Right triangle
B. Scalene triangle
C. Equilateral triangle
D. Scalene
Step-by-step explanation:
Step-by-step explanation:
Right angle TriangleEquilateral TriangleEquilateral TriangleScalene Trianglehow many tims can 60 go into 72 pls help
Answer:
The answer is 1 time
Step-by-step explanation:
If you subtract 60 from 72 you come out with 12. Which is not enough for you to subtract 60 again so the answer is 1.
A scientist wants a 64 milliliter acid solution with a concentration of 8%. She has concentrations of 2% and 10%. How much
of each solution must she use to get the desired concentration?
Answer:
16 milliliters of 2% solution
48 milliliters of 10% solution
Step-by-step explanation:
x = 2% solution
y = 10% solution
System of Equations:
x + y = 64
.02x + .10y = 64(.08)
use Substitution: y = 64 - x
.02x + .10(64 - x) = 5.12
.02x + 6.4 - .10x = 5.12
-.08x = -1.28
x = 16
y = 64 - 16 which equals 48
Last year a poll of 1,000 voters conducted by the staff of Senator Chun found that 522 people approved of the job the senator was doing. This year, a new poll of 1,000 voters shows that 423 people approve of the senator's performance. Find the percent of change in the number of voters who approved of the senator's performance, and identify it as an increase or decrease.
A 19%, increase
B 23.4%; decrease
C 23.4%, increase
D 19%; decrease
Answer:
19% decrease
Step-by-step explanation:
First, find out how much it decreased by. 522 - 423 = 99. Then, since it decreased by 99/522 you find the percent this is equal to, which would be
18.96%. = about 19%
It is going down, so it's decreasing
Expression A: 3x + 4
Expression B: 2+ 3x + 2
Which statement can be used to show that these expressions are equivalent?
A. The expressions name the same number regardless of the value
of x.
B. Both expressions involve addition,
C. Each expression includes the term 3x.
D. 3x + 4 can be rewritten as 2 + 3x + 2 using the distributive
property
Answer:
D.
Step-by-step explanation:
3x + 4 is another way of writing 2 + 3x + 2, if you add the 2's together you get a four (3x + 4).