Answer:
-2.5Step-by-step explanation:
Evaluate the expression:
b²/(a + 5)When a= −15 and b=−5
Substitute values:
b²/(a + 5) =(-5)² / (-15 + 5) =25/(-10) =-2.5------------------------------------------------------------------
In case the expression is b²/a + 5, the value is:
b²/a + 5 =(-5)²/(-15) + 5 =25/(-15) + 5 =- 5/3 + 5 =10/3-------------------------------------------------------------------
The daily fees for the Fun Town amusement park are
$10 per adult and $5 per child. Yesterday, daily fees
were paid for a adults and c children. Which of the
following expresses the total amount in dollars,
collected for daily fees yesterday?
Answer:did you get the answer???
Step-by-step explanation:
Expression representing total amount collected for the daily fees yesterday will be $(10a + 5c).
Daily fees for the Fun Town amusement Park are,
Adult → $10 eachChild → $5 eachIf there were 'a' adults and 'c' children in the park yesterday,
Total amount to be paid = $(10a + 5c)
Therefore, expression for the total amount collected for daily fees yesterday will be $(10a + 5c).
Learn more,
https://brainly.com/question/15805316
1. Solve this quadratic by factoring
6x^2+7x-5=0
2. Solve this quadratic by factoring x^2+5x-14=0
3. Solve this quadratic using the quadratic formula
3x^2-7x-9=0
4. Solve this quadratic by factoring
X^2-25=0
5. Solve this quadratic by factoring
X^2-6x=0
Please show work.
ANSWER #1:
x = -1.666666667
x = 0.5
STEP-BY-STEP:
Simplifying
6x2 + 7x + -5 = 0
Reorder the terms:
-5 + 7x + 6x2 = 0
Solving for variable 'x'.
(-5 + -3x)(1 + -2x) = 0
SUBPROBLEM 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:
Simplifying
-5 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5
Combine like terms:
0 + -3x = 0 + 5
-3x = 0 + 5
Combine like terms:
-3x = 5
Divide each side by '-3'.
x = -1.666666667
Simplifying
x = -1.666666667
SUBPROBLEM 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:
Simplifying
1 + -2x = 0
Move all x terms to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1
Combine like terms:
0 + -2x = 0 + -1
-2x = 0 + -1
Combine like terms:
-2x = -1
Divide each side by '-2'.
x = 0.5
Simplifying
x = 0.5
ANSWER #2:
x = -7
x = 2
STEP-BY-STEP:
Simplifying
x2 + 5x + -14 = 0
Reorder the terms:
-14 + 5x + x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-7 + -1x)(2 + -1x) = 0
SUBPROBLEM 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:
Simplifying
-7 + -1x = 0
Solving
-7 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7
Combine like terms:
0 + -1x = 0 + 7
-1x = 0 + 7
Combine like terms:
-1x = 7
Divide each side by '-1'.
x = -7
Simplifying
x = -7
SUBPROBLEM 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:
Simplifying
2 + -1x = 0
Solving
2 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '-2' to each side
2 + -2 + -1x = 0 + -2
Combine like terms:
0 + -1x = 0 + -2
-1x = 0 + -2
Combine like terms:
-1x = -2
Divide each side by '-1'.
x = 2
Simplifying
x = 2
ANSWER #3:
x = 3.25
x = -0.92
STEP-BY-STEP
Simplifying
3x2 + -7x + -9 = 0
Reorder the terms:
-9 + -7x + 3x2 = 0
Solving for variable 'x'.
Divide each side by '3'.
-3 + -2.333333333x + x2 = 0
Add '3' to each side
-3 + -2.333333333x + 3 + x2 = 0 + 3
Reorder the terms:
-3 + 3 + -2.333333333x + x2 = 0 + 3
Combine like terms:
0 + -2.333333333x + x2 = 0 + 3
-2.333333333x + x2 = 0 + 3
Combine like terms:
-2.333333333x + x2 = 3
The x term is -2.333333333x. Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.
Add '1.361111112' to each side
-2.333333333x + 1.361111112 + x2 = 3 + 1.361111112
Reorder the terms:
1.361111112 + -2.333333333x + x2 = 3 + 1.361111112
Combine like terms:
1.361111112 + -2.333333333x + x2 = 4.361111112
Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = 4.361111112
Calculate the square root of the right side: 2.088327348
Break this problem into two subproblems by setting
(x + -1.166666667) equal to 2.088327348 and -2.088327348.
SUBPROBLEM 1
x + -1.166666667 = 2.088327348
Simplifying
x + -1.166666667 = 2.088327348
Reorder the terms:
-1.166666667 + x = 2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side
Combine like terms:
0.000000000 + x = 2.088327348 + 1.166666667
x = 2.088327348 + 1.166666667
Combine like terms:
2.088327348 + 1.166666667 = 3.254994015
Simplifying
x = 3.254994015
SUBPROBLEM 2
x + -1.166666667 = -2.088327348
Simplifying
x + -1.166666667 = -2.088327348
Reorder the terms:
-1.166666667 + x = -2.088327348
Solving
-1.166666667 + x = -2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side of the equation.
-1.166666667 + 1.166666667 + x = -2.088327348 + 1.166666667
Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = -2.088327348 + 1.166666667
x = -2.088327348 + 1.166666667
Combine like terms: -2.088327348 + 1.166666667 = -0.921660681
x = -0.921660681
Simplifying
x = -0.921660681
ANSWER #4:
x = -5
x = 5
STEP-BY-STEP:
Simplifying
x2 + -25 = 0
Reorder the terms:
-25 + x2 = 0
Solving
-25 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '25' to each side
-25 + 25 + x2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + x2 = 0 + 25
x2 = 0 + 25
Combine like terms: 0 + 25 = 25
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
plz help !!!!!!!!!!!!
Answer:
A.) $0.89
Step-by-step explanation:
2(4x+3y=7.43)
-3(5x+2y=7.03)
8x+6y=14.86
-15x-6y=-21.09
add the two equations
-7x=-6.23
divide by -7
x=.89
Answer:$0.89
Step-by-step explanation:
Solution by substitution method
4n+3p=7.43
5n+2p=7.03
Suppose,
4n+3p=7.43→(1)
5n+2p=7.03→(2)
Taking equation (1), we have
4n+3p=7.43
⇒4n= -3p+7.43
⇒n = -3p+7.43/4
→(3)Putting n= -3p+7.43/4 in equation (2), we get
= 5n+2p=7.03
= 5(-3p+7.43/4)+2p=7.03
⇒-15p+37.15+8p=28.12
⇒-7p + 37.15=28.12
⇒-7p=28.12 - 37.15
⇒-7p=-9.03
⇒p=9.03/7
⇒p= 1.29→(4)
Now, Putting p=1.29 in equation (3), we get
n=-3p+7.43
n= -3(1.29)+7.43 / 4
⇒n= -3.87+7.43 / 4
⇒n= 3.56 / 4
⇒n=0.89
∴n= $0.89 and p=1.29
Identifying Congruent Triangles
Find the measure of The missing angles
The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
For finding m∠1,
Here m∠2 = 90° as per the figure it is the right angle.
m∠1 + 40° + m∠2 = 180°
m∠1 + 40° + 90° = 180°
m∠1 = 50°
For finding m∠3,
m∠2 + m∠3 + 30° = 180°
90° + m∠3 + 30° = 180°
m∠3 = 60°
For finding m∠4 and m∠5
We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°
For finding m∠6 and m∠7
m∠6 + m∠7 + 20° = 180°
60° + m∠7 + 20° = 180°
m∠7 = 100°
Thus, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
Learn more about congruent triangles here:
brainly.com/question/4364353
#SPJ2
The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
For finding m∠1,
Here m∠2 = 90° as per the figure it is the right angle.
m∠1 + 40° + m∠2 = 180°
m∠1 + 40° + 90° = 180°
m∠1 = 50°
For finding m∠3,
m∠2 + m∠3 + 30° = 180°
90° + m∠3 + 30° = 180°
m∠3 = 60°
For finding m∠4 and m∠5
We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°
For finding m∠6 and m∠7
m∠6 + m∠7 + 20° = 180°
60° + m∠7 + 20° = 180°
m∠7 = 100°
Hence, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
Learn more about congruent triangles here:
brainly.com/question/4364353
#SPJ2
HELPPPP!!!! ASAPPPPP!!!! TIMEDDDDD!!!!
Answer:
Yoyo and yoyo
Step-by-step explanation:
A company sells bottles of vitamin capsules. The graph and table show the linear relationship between the cost per capsule in cents and the number of bottles ordered.
A. y= -5x – 70
B. y= 5x +70
C. y=-5x + 70
D. y= 70x - 5
Answer:
C
Step-by-step explanation:
Trust me and vote brainliest
HelP I have to turn this in tomorrow!!!
Answer:
$7.22 per foot squared
Step-by-step explanation:
hope this helps
Answer:
$7.22/ft² (Verified Answer) ✅Step-by-step explanation:
We need the unit rate here. The best way to do this is to write a proportion.
Let x = the $ for 1 ft.
130/18 = x/1
130 = 18x
Divide by 18
x = $7.22
Now, we check to make sure we are correct.
130/18 = 7.22/1
130 = 130 ✅
please help me i’m so confused
i need help with these questions...
k + 8 ≥ 18
2x + 3 ≤ 13
solve for the variables
Factor the four-term polynomial.
pq - 2r + pr-29
Your answer should be -18?
Which postulate make the triangle congruent.?? help please
A landscaper needs to fill a path measuring 2 feet by 6 feet with patio stones.
The patio stones are ench 1 foot by 2 feet, so the landscaper calculates that she
will need 6 of them,
Before arranging the patio stones, the landscaper wants to look at all of her
options. She cannot cut or overlap the stones, and they all must fit inside the
path area without any gaps. Two possible arrangements of the stones are shown
below. How many different arrangements are there in total?
Answer:
28
Step-by-step explanation:
You can have 8 1x2 verical in a row,
7 with two horizontals stacked on top of each other.
9 with 4 horizontal tiles,
10 with 6 horizontal tiles,
1 8 horizontal tiles set,
1+7+1+9+10=28
The length of a rectangle is 6 ft longer than its width.
If the perimeter of the rectangle is 68 ft, find its length and width.
Answer:
the length is 23 ft and the width is 11 ft
Step-by-step explanation:
68/4 = 17
17 17 17 17
11 11 23 23
(4p-4)+(-7p-7)
I need HELP ON THIS PLEASE FAST!!
Answer:
The correct answer is number 2
-3p - 11
I'm 1000000% sure...
write the first four terms of the arithmetic sequence given a1=-3 and d=-2
What is the value of x in the solution to this system of equations ?
Y+2x=-1
Y=(1/2)x+4
Answer:
2×+y=-1
Do you think I'm right???
At a basketball game, a team made 58 successful shots. They were a combination of 1- and 2-point shots. The team scored 99 points in all. Write and solve a system of equations to find the number of each type of shot.
Step-by-step explanation:
Step-by-step explanation:
1.Right
2.Left
3.Bottom Middle
Drew is making a dart board.
The diameter of the dart board is 44 centimeters. What is the approximate circumference? (Use 3.14 for .)
Answer:
138.16 cm
Step-by-step explanation:
Recall that the formula for calculating the circumference is pi times diameter.
Circumference = 44 x 3.14 cm = 138.16 cm.
Please help. Due today!
What is the answer?? Please
9514 1404 393
Answer:
not similar
Step-by-step explanation:
"Triangle" DPS cannot exist. Sides DP and DS are not long enough.
__
Side ratios are not the same. In the top triangle, the length ratios are ...
14 : 16 : 19
In the bottom triangle, the length ratios are ...
7 : 8 : 19 (such a triangle cannot exist)
Since the ratios are not the same, the triangles are not similar.
2x + 7 =30, x = 3 true or false
Answer:
False
Step-by-step explanation:
2x+7=30
2x=23
X= 23/2 or 11.5
X does not equal 3, therefore the statement is false
along with this one please
12y - 4 what is answer
Answer: 4(3y−1)
Step-by-step explanation:
Answer:
4(3y - 1)
Step-by-step explanation:
To factor this find the greatest common factor of 12y and -4, which would just be 4.
Then, you have 4(3y - 1)
Please help me answer this question. Can you the doc
Answer:
I opened the doc but what's the question..? I only see attendance..
Step-by-step explanation:
How many times do 8 go into 5
it goes into five 0 times
Answer:
0 Times
Step-by-step explanation:
The answer is 0 times!
This is due to the concept in which 8 is a bigger number than 5.
Henry's family members choose numbers to assign
chores. The person who draws the highest number is the
first to select a chore. The numbers 1 through 10 are
written on pieces of paper. All numbers are equally likely to
be chosen.
What is the probability that the first person will choose a number greater than
6?
A10
6
B4
10
C6
10
D10
4
The perimeter of a rectangle is 160 feet. If the length of the rectangle is 28 feet more than the width, what are the dimensions of the rectangle?
Answer:
width = 26 ft
length = 54 ft
Step-by-step explanation:
perimeter = 160 ft
width = x
length = x + 28
Perimeter = 2(width) + 2(length)
[tex]2x + 2(x + 28) = 160 \\ 2x + 2x + 56 = 16 0\\ 4x = 160 - 56 \\ x = \frac{104}{4} \\ x = 26[/tex]
width = x = 26
length = x + 28 = 26 + 28 = 54
Kareem cannot decide which of two washing machines to buy. The selling price of each is $440. The first is marked down by 30%. The second is marked down by 20% with an additional 10% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the machines are the same except for the selling price.
Step-by-step explanation:
The selling price is $495.
The first washing machine:
- is marked down by 30%
$495 - 100%
$x - 100% - 30% = 70%
Find the value of x:
x=$495*0.7=$346.50=$347
The second washing machine:
- is marked down by 20% with an additional 10% off
$495 - 100%
$y - 100% - 20% = 80%
Find y:
Y=$495*0.8=$396
Now,
$396 - 100%
$z - 100% - 10% = 90%
Find z:
Z=$396*0.9=$356.40=$356
the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.
Answer:
The sale price of the first washing machine is $308
The sale price of the second washing machine is $317
x - y = 2
x + y = -3
Solve this using elimination
Quickly please!!!!
Tina has 10 packages of yarn to knit a scarf. She uses ⅓ package of yarn for each inch of length she adds to the scarf. If Tina uses all the yarn, how long will her scarf be?
Answer: 30
Step-by-step explanation:
From the question, we are informed that Tina has 10 packages of yarn to knit a scarf and that he uses ⅓ package of yarn for each inch of length she adds to the scarf.
Since she used all the yarn, the length of the cloth would be:
= 10 ÷ 1/3
= 10 × 3
= 30 inch
