Answer:
4 and 5
Step-by-step explanation:
The solution of the numbers 4 and 5 that gives multiplied by 20 and adds up to 9.
Used the concept of the equation that states,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that,
The multiplication of two numbers is 20.
And, the addition of both numbers is 9.
Let us assume that the numbers are x and y.
Hence the equation for the given conditions,
[tex]x \times y = 20[/tex] ... (i)
[tex]x + y = 9[/tex] ... (ii)
From (ii);
[tex]x = 9 - y[/tex]
Substitute in (i);
[tex](9 - y) \times y = 20[/tex]
[tex]9y - y^2 = 20[/tex]
[tex]y^2 - 9y + 20 = 0[/tex]
[tex]y^2 - (5 + 4)y + 20 = 0[/tex]
[tex]y^2 - 5y - 4y + 20 = 0[/tex]
[tex]y (y - 5) - 4 (y - 5) = 0[/tex]
[tex](y - 5) (y - 4) = 0\\[/tex]
This gives,
[tex]y = 5\\y = 4[/tex]
From (i);
Substitute y = 5;
[tex]x = 9 - 5\\x = 4[/tex]
Substitute y = 4;
[tex]x = 9 - 4\\x = 5[/tex]
Therefore, the numbers are 5 and 4.
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Rylee finds a recipe for a bubble solution that uses 1 cup water, 1/4 dish soap, and 1 tablespoon corn syrup. She is 2 cups of dish soap. How much water should she use? Show your work.
Answer:
65
Step-by-step explanation:
how many gallons are equivalent to 20 points
Answer:
2.31964e-7
Step-by-step explanation:
Answer:
3 gallons
Step-by-step explanation:
what is 4 times 4 divded by 8
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
4 groups of 4, or 4x4=16.
16 in eight groups, or 16/8 is 2.
If a salesclerk earns $5.75 per hour,
how many hours per week does she
work to earn her weekly salary of
$207?
F 30 hours
G 32 hours
H 36 hours
J 4 hours
What is the y-intercept of a line that has a slope of 3 and passes through point (-1, -7)?
O-10
O4
O 3
O 7
The difference between two positive numbers , 12/(x + 1) and 12/x , 1. () Form an equation in x and show that it reduces to x ^ 2 + x - 12 = 0 . (ii) Solve the equation x ^ 2 + x - 12 = 0 . () Hence , find the two numbers .
Answer:
Step-by-step explanation:
12
-32a/15 + 6 simplified
Answer:
might be wrong but
−
3
2
+
9
0
1
5
Answer:
-32a/15 +6
Step-by-step explanation:
it does not change when you simplified
Find the slope of the line that passes through the points (9, -2) and (-3. -2). Write the equation in
slope-intercept form.
Answer:
slope: zero/none
equation: y = -2
Step by Step:
1) find the slope - change in y / change in x
-2+2/9+3
0/12
0 <- zero slope = no slope
2) plug in and solve for y-intercept
( -3, -2 )
-2=(0*-3)+b
b=-2
because the slope was zero, we know that it's a horizontal line
therefore the only equation we can get from this is a y= equation
3) plug in values to get equation
y = -2
slope is zero
If y=104x, what is the unit rate (without units)
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.
Help
Dealing with corresponding write reasons as well pls
Answer:
X=60°
Step-by-step explanation:
A1=100° vertically opposite angles
100°=2x-20°
120°=2x
X=60°
Answer this question please
Answer:
1/8362
Step-by-step explanation:
Student picked at random/Number of students
Please I need this done quickly Explain the answer please
Put y - 1 = 4(x - 5) in standard form.
What are the combining like terms plz
Answer:
-7q and 9q, 2 and 6
Step-by-step explanation:
they are like each other
Answer: Terms that have identical variable parts (same variable(s) and same exponent(s)). So in this case the like terms are -7q and 9q AND 2 and 6 are like terms *REMEMBER: constant (which are numbers with NO variables can also be like terms)
but to solve this:
first group the like terms so:
(-7q+9q) that gives us 2q
(2+6) that gives us 8
*In your FINAL answer ALWAYS put the number(s) with variables first so the final answer is 2q+8
is it
A) M T L
B)M T P
C)L || M
D)N || P
Answer:
C
Step-by-step explanation:
since L and M are both perpendicular to the same transversal they are parrallel
Factor this please thank you !!
Answer:
[tex] {y}^{2} - 14y + 45 \\ \\ {y}^{2} - 9 y + 5y - 45 \\ \\ y(y - 9) - 5(y - 9) \\ \\ (y - 5)(y - 9)[/tex]
Here's the solution :
[tex] {y}^{2} - 4y+ 45[/tex]
[tex] {y}^{2} - 9y - 5y + 45[/tex]
[tex]y(y - 9) - 5(y - 9)[/tex]
[tex](y - 5)(y - 9)[/tex]
therefore, the roots are 5 and 9
You are selling flowers for a fundraiser . You pay $ 1.50 for each flower plus a flot rate delivery fee of $ 15 . You are selling the flowers for $ 3 . At least how many flowers do you need to sell to make a profit ?
Answer:
15÷1 .50=10
Because you are already paying a flat rate of $15. You make 1.50 off of each flower. So you have to sell over 10 flowers to make a profit.
At least 11 flowers should be sold to make a profit.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that is equal.
Given:
Total cost for the buying flower = 1.5 * number flowers + 15
For n=10 = 1.5 * 10 + 15
= 30
By selling 10 flowers =10 * 3
= $30
For n =11 = 1.5 * 11 + 15
= 31.5
By selling 11 flowers = 11 * 3
= 33
Therefore, At least 11 flowers should be sold to make a profit.
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2 of 4
A, B & C lie on a straight line.
BD = CD.
Z BDC = 30° and Z ADB = 25°.
Work out X, explaining each stage of your working in the comment box.
so I don't know the answer but need to answer a question
The measures of the angles of a triangle are shown in the figure below. Solve for x.
39°
Answer:
look at the photo..............
Answer:
x = 51°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180° for x
x = 180° - (90 + 39)° = 180° - 129° = 59°
Stephen was thinking of a number. Stephen divides by 5 then adds 1 to get an answer of 21. Form an equation with
x
from the information.
Answer:
x/5 +1 = 21
Step-by-step explanation:
x is your variable. first step is divided by 5, so you put x/5. then it says add 1 so simply add it on to the equation x/5 + 1. the entire equation equals to 21 so you put the equal sign after x/5 +1 =21
In 2010, Utah had a population of about 2.8 x 106. The same year, Wyoming had a population of about 5.6 x 105
Which statement correctly compares the populations of these states?
A. The population of Utah is about 0.5 times the population of Wyoming
B. The population of Wyoming is about 2 times the population of Utah
C. The population of Wyoming is about 20 times the population of Utah
D. The population of Utah is about 5 times the population of Wyoming
Answer:
thank you so much
Step-by-step explanation:
Which list shows the values of the changes in order, from least to greatest?Stock A, Stock B, Stock C, Stock DStock B, Stock D, Stock A, Stock CStock C, Stock A, Stock D, Stock BStock D, Stock C, Stock B, Stock A
Answer:
c
Step-by-step explanation:
edge 2022
y=-2/3x + 7 what is the slope?
Answer:
Lucky for you i'm good at algebra:)
Step-by-step explanation:
Slope: -2/3
Y-intercepts: (0,7)
Answer:
Slope = -1.333/2.000 = -0.667
x-intercept = 21/2 = 10.50000
y-intercept = 21/3 = 7
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(-2/3*x+7)=0
Step 1:
Simplify 2/3
Equation at the end of step 1:
y - ((0 -(2/3• x)) + 7) = 0
Step 2: Rewriting the whole as an Equivalent Fraction
Rewrite the whole as a fraction using 3 as the denominator :
7 = 7/1 = 7 · 3 /3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-2x+7·3/3 = 21-2x/3
Equation at the end of step 2:
y-(21-2x)/3=0
Step 3:
Rewriting the whole as an Equivalent Fraction :
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
y=y/1=y·3/3
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
y • 3 - ((21-2x)) 3y + 2x - 21
————————————————— = ————————————
3 3
Equation at the end of step
3
:
3y + 2x - 21
———————————— = 0
3
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3y+2x-21
———————— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3y+2x-21 = 0
Equation of a Straight Line
4.2 Solve 3y+2x-21 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3y+2x-21 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000
y-intercept = 21/3 = 7
Calculate the X-Intercept :
When y = 0 the value of x is 21/2 Our line therefore "cuts" the x axis at x=10.50000
x-intercept = 21/2 = 10.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 5.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.667 - 7.000 = -1.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -1.333/2.000 = -0.667
Geometric figure: Straight Line
Slope = -1.333/2.000 = -0.667
x-intercept = 21/2 = 10.50000
y-intercept = 21/3 = 7
I need help please lol
Answer:
Tina ate 1/4 cornbread of the whole pan.
Step-by-step explanation:
If she has 1/2 of a pan, and ate 1/2 of that, it's 1/2*1/2, which equals 1/4! Try to imagine a pan of cornbread in your head ahaha
The equation should be: 1/2*1/2=1/4
Hopes this helps!
Cortney had 5 pieces of candy Cortney ate 1 piece how many pieces does Cortney have left?
PLEASE HELP!!! WORTH 20 POINTS!
For each pair of points, find the slope of the line that passes through both points. If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler. Use fractions, not decimals, and make sure to simplify all fractions.
Answer:
a. 1 1/2 (or 3/2)
b. 2/3
c. 1
d. 1
Step-by-step explanation:
Part A: (1,1) (7,5)
To determine the slope, you will use the equation m=(y2-y1)/(x2-x1). Keep in mind that it doesn't matter what point you use for (x1, y1) or (x2, y2).
Let's plug in the numbers for part a:
m=(7-1)/(5-1)
Let's then solve the problems inside the parentheses:
m=6/4
And finally, we simplify:
m=3/2 (or 1 1/2 depending on what your teacher wants for an answer)
For these others, I will just go through the steps and not explain them, if you need help or don't understand something I'm doing, either look back at what I did for part a or comment on this answer.
Part B: (1,1) (5,7)
m=(5-1)/(7-1)
m=(4/6)
m=2/3
Part C: (2,5) (-1,2)
m=(-1-2)/(2-5)
m=(-3/-3)
m=1
Part D: (2,5) (-7,-4)
m=(-7-2)/(-4-5)
m=(-9/-9)
m=1
help me please
………………….
Answer:
here is your answer
so the lengjt value of. n = 60
Ozzie is 6 years older than McKenzie. Theo is Ozzie's dad and is 3 times older than McKenzie. Ozzie is 8 years old. How old is Theo?
Answer:
If Ozzie is 8 and 6 years older than McKenzie, then McKenzie is 2 years old. So if Theo is 3 times older than McKenzie, then Theo is 6 years old.
Taylor multiplied 8.25 * 10^4 and 0.4 * 10^4 and got 8.65 * 10^4. Explain Taylor's mistake. SOME ONE PLEASE HELP ME GET THIS ANSWER!
Answer: I believe the answer is 3.3 x 10^8
A tree is 28.05 feet tall. What is its height in meters? Use the following conversion: 1 meter is 3.3 feet.
Answer:
It is 8.5 meters tall
Step-by-step explanation:
28.05 / 3.3 = 8.5