Answer:
X^2 + 46x + 45 = (x + 1) (x + 45)
Step-by-step explanation:
Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 45 and whose sum is 46 .
1, 45
Write the factored form using these integers.
(x + 1) (x + 45)
I hope this helps.
Answer:
(x+1) (x+45)
Step-by-step explanation:
By using FOIL(Front Outer Inner Left) it should end up like this:
1. x2 + 46x + 1x + 45
2. x2 + 47x + 45
Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and
mini-notebooks cost $1.50 each. Write a linear equation that can be used to determine how many of
each prize she can buy.
Answer:
1.25x + 1.5y=25
Step-by-step explanation:
let the number of lip balms that can be bought be x and the notebooks be y then their total cost is 1.25x + 1.5y. The total $25 there for the equation becomes 1.25x + 1.5y=25.
The required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.
Given that,
Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and mini-notebooks cost $1.50 each. Write a linear equation that can be used to determine how many of each prize she can buy is ot be determined.
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
Let the number of lip balm that can be purchased be x, and the number of mini notebooks purchased be y,
according to the question,
1.2x + 1.50y = 25
Thus, the required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.
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The money collected from a Saturday car wash are directly proportional to the number of cars washed. The total money collected after 7 cars is $140. Write an direct variation equation relating the money collected (m) and the number of cars washed
Answer:
[tex]m=20c[/tex]
Step-by-step explanation:
Let m represent the total money collected and c represent the amount of cars washed.
We know that the money collected is directly proportional to the number of cars washed. So, we can write the following equation:
[tex]m=kc[/tex]
Where k is a constant.
We know that the money collected after 7 car washes is $140. So, let's find our k by substituting 140 for m and 7 for c. This yields:
[tex]140=7k[/tex]
Find k. Divide both sides by 7:
[tex]k=20[/tex]
So, the value of k is 20.
We can now substitute k back into our direct variation equation:
[tex]m=20c[/tex]
This means that every car costs $20 to wash.
And we're done!
Answer:
7x140=980
Step-by-step explanation:
7x140= what
what is 4.13 multiplied by 10,000
Answer:
41,300
you can take the 4.13 and put it in the first three spaces hope this helps
Answer:
its 41300 just add your powers, its like 4.13 to the ten-thousanth power
Step-by-step explanation:
put the 4 infront of the decimal and 13 behind, and move it and add places markers till you get where u need to go
(sorry, im not THAT good at explaining things -ω-
Set up a proportion and use cross multiplication to solve.
15 is____ % of 60
Answer:
4%
Step-by-step explanation:
The area of a square room is 125 square feet. To the nearest foot, what is the length of one side of the room?
Answer:
Side = [tex]5\sqrt5\ \text{feet}[/tex]
Step-by-step explanation:
Given that,
Area of a square room is 125 square feet
We need to find the length of one side of the room.
The area of a square shaped room is given by :
[tex]A=x^2[/tex]
Where, x is side of the square room
[tex]x=\sqrt{A} \\\\x=\sqrt{125}\\\\x=\sqrt{5\times 5\times 5}\\\\x=5\sqrt5\ \text{feet}[/tex]
So, the side of the room is [tex]5\sqrt5\ \text{feet}[/tex].
There are 8 boys and 3 girls from sixth grade in the marching band write 2 different ratios to compare the number of boys and the number of girls
__ : __ and __ : __
Answer:
8:3 and 3:8
Step-by-step explanation:
I've attached a screenshot of the question, please solve
Answer:
b
Step-by-step explanation:
when you multiply out using FOIL (First Inner Outer Last) you get b
I need HELLLPPPPP. A student bought concert tickets online. The total cost, c, in dollars, of t tickets can be
found using the function below.
c(t) = 87.50t + 12.50
If the student spent a total of $800 on tickets, how many tickets did she buy?
+/-
Answer:
The answer is 9.
Step-by-step explanation: Things to know: c is total cost and t tickets. 800 is the total cost so plug it in to c. You want to get t (tickets) alone.
original: c(t)=87.50t+12.50
Now with the 800: 800=87.50t+12.50
Subtract 12.50 to both sides: 787.5=87.50t
Divide 87.50 to both sides: 9=t
Hopefully this helped. :]
Derek can do 50 pushups. Roger can do
8% fewer than Derek can do. How many
pushups can Roger do?
Answer: 40
Step-by-step explanation: 50x0.8=40
Okay, maybe im wrong? But i dont see how its 4 thats more than half.
Rodger can do 46 pushups.
50 * 0.92 = 46
Edit: To better clarify, 0.92 is from 1.00 - 0.08.
... 8 percent fewer than 100 percent is 92 percent; 1.00 - 0.08 = 0.92
Keep in mind that:
1.00 = 100%
0.08 = 8%
0.92 = 92%
After finding this you may multiply 50 * 0.92 to get 46.
PLS HELP! I'LL MAKE YOU BRAINLIEST!
Answer:
y = mx + b slope(m) = 1/2 (-2,1)...x = -2 and y = 1 now we sub and solve for b, the y int 1 = 1/2(-2) + b 1 = -1 + b 1 + 1 = b 2 = b so ur equation is : y = 1/2x + 2 <== here is one answer y - y1 = m(x - x1) (slope(m) = 1/2 (-2,1)...x1 = -2 and y1 = 1 now we sub y - 1 = 1/2(x - (-2) = y - 1 = 1/2(x + 2) <== here is another answer
Step-by-step explanation:
HURRYY I HAVE 2 MINS LEFTTTTTT
Before making invitations, katrina counted the supplies she bought for her party. She counted 36 water balloons and 81 beads to make bracelets. She then needed to decide how many invitations to make.
A. 6
B. 7
C. 9
D. 10
You and three friends go to a restaurant for dinner.You share three appetizers that cost $6 each. You also share two desserts that cost $3 each.You split the total bill evenly. How much does each person pay.
TELL ME HOW TO SHOW MY WORK PLZ AND I WILL MRAK BRAINLEST P.s after 2 ppl answerd
Answer:
$6 Each
Step-by-step explanation:
First, add all the costs together:
3 $6 apps
3*6=18
2 $3 desserts:
2*3=6
Add the totals up to get a total of $24, then divide that by 4 since it's being split between 4 people.
What is the value of 5xexponent 3 y exponent 2 when x=2 and y=4
A recycling center has 100 kilograms of shredded plastic yogurt containers. What volume in m3 is needed to hold this amount of shredded plastic? Assume the lowest density within the range.
AnswerI dont kow
Step-by-step explanation:
what is this fraction as a decimal?
Can some one help? I need help asap.
Answer:
8x² - 27x + 20
Step-by-step explanation:
Given
4x(2x - 3) - 5(3x - 4) ← distribute both parenthesis
= 8x² - 12x - 15x + 20 ← collect like terms
= 8x² - 27x + 20 ← in standard form
Answer:
-19x+20
Step-by-step explanation:
So we need to simplify this the first step is
4x(2x-3) The first part of the equation
4x(2x) - 4x(3)
8x -12x
-4x
then the second part
-5 (3x-4)
-5(3x)+20
-15x+20
add togeter
-4x-15x
-19x
-19x+20
Solve: −4d − 6 = −10
Answer:
hi
Step-by-step explanation:
[tex] - 4d - 6 = - 10 \\ - 4d = - 10 + 6 \\ - 4d = - 4 \\ d = 1[/tex]
i think so…
Answer:
_4d=_10+6
_4d=_4
_4/_4d=_4/_4
d=1
if y= -4/5x+6 what is the value of x when y=-6
Answer:
15
Step-by-step explanation:
How do u check your answer for 4x+12-2x=26
Answer:
7
Step-by-step explanation:
4x+12-2x=26
Or, 2x=26-12
Or, 2x=14
Or, x=7
draw a hexagon of equal sides and unequal angles
Answer:
This is a picture of a hexagon of equal sides and unequal angles.
how do I solve this equation 5x+7=3x-5
Answer:
x = -6
Step-by-step explanation:
Simplifying
5x + 7 = 3x + -5
Reorder the terms:
7 + 5x = 3x + -5
Reorder the terms:
7 + 5x = -5 + 3x
Solving
7 + 5x = -5 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
7 + 5x + -3x = -5 + 3x + -3x
Combine like terms: 5x + -3x = 2x
7 + 2x = -5 + 3x + -3x
Combine like terms: 3x + -3x = 0
7 + 2x = -5 + 0
7 + 2x = -5
Add '-7' to each side of the equation.
7 + -7 + 2x = -5 + -7
Combine like terms: 7 + -7 = 0
0 + 2x = -5 + -7
2x = -5 + -7
Combine like terms: -5 + -7 = -12
2x = -12
Divide each side by '2'.
x = -6
Simplifying
x = -6
The solution to the equation 5x + 7 = 3x - 5 is x = -6.
We have,
To solve the equation 5x + 7 = 3x - 5, we need to isolate the variable x on one side of the equation.
Here's how we can do that:
Start by subtracting 3x from both sides of the equation to move all the x terms to one side:
5x + 7 - 3x = 3x - 5 - 3x
Simplifying, we get:
2x + 7 = -5
Next, subtract 7 from both sides of the equation to isolate the term with x:
2x + 7 - 7 = -5 - 7
Simplifying, we get:
2x = -12
Now, to solve for x, we divide both sides of the equation by 2:
(2x)/2 = (-12)/2
Simplifying, we get:
x = -6
Thus,
The solution to the equation 5x + 7 = 3x - 5 is x = -6.
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Help me plz!!! I give brainliest
Answer:
i hope u accidentally hit the X and it doesn't save your work
Step-by-step explanation:
.Un baúl de 10,5 kg está apoyado en el suelo.Si se tira de él verticalmente hacia arriba con una fuerza de 52,9 N, determina el valor de lanormal.
Respuesta: 50N
Explicación paso a paso:
Dado lo siguiente:.
Tensión (T) = 52,9 N
Masa (m) = 10,5 kg
La normal se obtiene usando la relación:
N = mg - T; donde N = normal, g = aceleración debida a la gravedad (9,8 m / s²)
N = mg - T
N = (10,5 * 9,8) - 52,9
N = 102,9 - 52,9
N = 50 N
Answer:
hey ¿How are you?
Step-by-step explanation:
bye
Complete the statement.
(3a? - 5ab + b2) - (-3a2 + 2b2 + 8ab) =
Answer:
6a^2 - 13ab - b^2 (option 1)
Step-by-step explanation:
(3a^2 - 5ab + b^2) - (-3a^2 + 2b^2 + 8ab)
3a^2 - 5ab + b^2 + 3a^2 + -2b^2 + -8ab
6a^2 - 13ab - b^2
Answer: 6a^2 - 13ab - b^2
Step-by-step explanation:
3a^2 - 5ab + b^2
+3a^2 - 8ab - 2b^2
=
6a^2 - 13ab - b^2
What is the slope of this line?
A. −5
B. 5
C. −15
D. 15
Picture Down Below
Answer:
It seems that the slope of this line is 1/5, yet none of the answers correspond to this. Double-check by finding two points on the line, and use the slope formula: (y2-y1/x2-x1). Also, remember that slope is rise/over run. I hope this can guide you!
Answer: the answer is not included in the options
Step-by-step explanation:
The slope of the line can be depicted by the following formulas: 1. Rise/run 2. Y1-y2/ x1-x2
If we were to use the second formula and “plug” in numbers for the variables, the slope we calculate is less than 1
Need help with Aleks for geometry
distance between -6.5 and -9.1 show work pls
Answer:
2.6 is the distance
Step-by-step explanation:
9.1 - 6.5 = 2.6
Joe walks 12 miles
every 4 trips to
school. How many
miles will Joe walk
after 6 trips?
Answer: 18 miles
12 ÷ 4 = 3. So, we must multiply 3 by 6 to find how much Joe walks for 6 trips to school.
-------------------------------------------------------------------------------------------------------------------------
Now, we must multiply the number 6 by 3.
6 x 3 = 18
-------------------------------------------------------------------------------------------------------------------------
Answer = 18
Answer:
18 miles
Step-by-step explanation:
We can write ratios to solve
12 miles x miles
---------- = ------------
4 trips 6 trips
Using cross products
12 *6 = 4x
72 = 4x
Divide by 4
72/4 = 4x/4
18 miles
The sum of x and ten is equal to y times z.
Answer:
x+10=yz
Step-by-step explanation:
What is the rate of change of the line through (-2,-2) and (-1,5)?
Answer:
The rate of change or the slope is 7. (If you were to graph this, you would use 7/1.
Step-by-step explanation:
To find the slope when you're given two sets of points, you must find the distance from the y values and the distance from the x values!
Y values: distance from -2 to 5 is +7
X values: distance from -2 to -1 is +1
7/1 or just 7.
Hope this helps! :)