What is the solution of the inequality 7(x + 4) < 2(x–5) + 3(x + 9)?
Answer:
x< -8.125
Step-by-step explanation:
7(x+4) < 2(x-5) -3(x+9)
distribute 7, 2, -3 to the parentheses to the right
7x+28<2x-10-3x-27
add like terms
7x+28<x-37
add x to 7x and subtract -28 to -37
8x<-65
divide both sides by 8
x<-8.125 or (-65/8)
The book store manager keeps a chart of the number of books sold each week. How
many books were sold all together in weeks 2 and 4?
Book Store Sales
Week
Number of Books
1
2
3
4
1.412
1,531
2,050
1,785
Answer:
3315
Step-by-step explanation:
Given the data:
WEEK ________1 _____2______3______4
no of books __1412___1531 ___2050 ___1785
Number of books sold in weeks 2 and week 4
Books sold in week 2 = 1531
Books sold on week 4 = 1785
(1531 + 1784) = 3315
BRAINLIEST PLEASE JELP
What is the slope of a line perpendicular to the given line?
Answer:
4
Step-by-step explanation:
The perpendicular slope means opposite reciprocal
opposite: 1/4
reciprocal: 4
Answer:
The slope is undefined
Step-by-step explanation:
Rate me please
I Need help ASAP with slope
^ picture
Answer:
3/5
Step-by-step explanation:
The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d.
Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]
Using Pythagoras :
SOHCAHTOAHorizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance
Total horizontal distance = opposite = (d + 0.6) miles Vertical distance = Adjacent = 2.5 MilesTo obtain the angle of depression, q :
Tanθ = opposite / Adjacent[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]
[tex] tan q = \frac{d + 0.6}{2.5} [/tex]
Therefore, q can be written in terms of d thus ;
[tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]Learn more : https://brainly.com/question/17350482
2 step equations: solve the equation below:
m/5+9=11
Answer:
m=10
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
m/5+9-(11)=0
m
Simplify —
5
m
(— + 9) - 11 = 0
5
Adding a whole to a fraction
Rewrite the whole as a fraction using 5 as the denominator :
9 9 • 5
9 = — = —————
1 5
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 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:
m + 9 • 5 m + 45
————————— = ——————
5 5
(m + 45)
———————— - 11 = 0
5
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
11 11 • 5
11 = —— = ——————
1 5
Adding up the two equivalent fractions
(m+45) - (11 • 5) m - 10
————————————————— = ——————
5 5
m - 10
—————— = 0
5
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:
m-10
———— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
m-10 = 0
Solve : m-10 = 0
Add 10 to both sides of the equation :
m = 10
m = 10
What is equivalent to 5x+3
Answer : 5x+3
There are no like terms
PLEASE GIVE ME AS BRAINLIEST
x=???????? ASAPPppppp
Answer:
x=2
Step-by-step explanation:
12=12 2=2
the sides have the same x
Oni was timing her 100 meter sprints. Her first five sprints were 12.568 seconds, 11.426 seconds, 12.324 seconds, 11.981 seconds, and 12.601 seconds. Which two estimation techniques will give the same result for the total number of seconds for all five sprints?
front-end and clustering
front-end and rounding to the nearest tenth
clustering and rounding to the nearest tenth
rounding to the nearest tenth and rounding to the nearest hundredth
Answer:
the answer should be D
Step-by-step explanation:
because my teacher told me the answer
Answer:
D
Step-by-step explanation:
rounding to the nearest tenth and rounding to the nearest hundredth
Edg2020
Which inequality is true?
Answer:
2 1/3 > 2 1/6
Step-by-step explanation:
2.33 > 2.17 True
How do you know if it is inequality or not w/ fraction?
An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
To solve an inequality using the following steps:
1) Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
2) Simplify by combining like terms on each side of the inequality.
3) Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Answer:
B
Step-by-step explanation:
I did the quiz
HELP ASAP!! Are the expressions –0.5(3x + 5) and
–1.5x + 2.5 equivalent? Explain why or why not.
Answer:
No because one is negative and the other one is positive
Step-by-step explanation:
Answer:
Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.
Step-by-step explanation:
2x + 7y = 3
x = 1 - 4y
Answer:
(5,-1)
Step-by-step explanation:
Since one of the equations gives x in terms of y , ie x = 1 - 4y
Then this can be substituted directly into the other equation.
→ 2(1 - 4y) + 7y = 3 → 2 - 8y + 7y = 3 → -y = 1 → y = -1
now, substitute y = -1 into x = 1 - 4y , to obtain x
→ x = 1 - 4(-1) = 1 + 4 = 5
Thus solution is (5 , -1 )
one year, a school USES 11.470 pieces of white paper, 3,970 fewer pieces of blue paper than white paper, and 3,200 fewer pieces of yellow paper than blue paper. How many pieces of paper does the school use in all? €
Answer:
the answer is 7,184.47
Step-by-step explanation:
What is the degree of rotational symmetry for the following figure?
Answer with step-by-step explanation:
For a figure or object that has rotational symmetry, the angle of turning during rotation is called the angle of rotation. Example: when a square is rotated by 90 degrees, it appears the same after rotation. So, the angle of rotation for a square is 90 degrees.
Solve the following problem. Show you work.
5 + 6(W + 8) = 59
Step 1:
Step 2:
Step 3:
Step 4:
Answer:
-3
-2
- 1
2.
3
4
-2
-3
-4
-5
The equation of the line in this graph is y =
Answer:
please ask proper question or repost it
Which of the following is irrational?
2
v1.44
1
Answer:
B
Step-by-step explanation:
B
Eight less than a number s is three more than four times a number t. Solve for s.
Answer:
S= 11+4t
Step-by-step explanation:
Answer:
S= 11+4t .
hope I'm write not sure
Step-by-step explanation:
[SREENSHOT ATTACHED]
Please helpp! :((
Each set of directions describes how to plot a point starting at the origin. Drag each set of directions to show what point would be plotted.
How many solutions are there for the system of equations shown on the graph?
A. No solution
B. One solution
C. Two solutions
D. Infinitely many solutions
Answer:
D
Step-by-step explanation:
There can be infinite solutions
PLEASE HELP AHHHH IS URGENT.
what is 1/2- 1 and 1/5
Answer:
-0.7 is the answer to your question
Answer:
Answer:
-0.7 is the answer to your question
Step-by-step explanation:
1. Write an equation for two numbers that are 3 units away from 0?
Answer:
|3| and |-3|
Step-by-step explanation:
Answer:
IxI=3
Step-by-step explanation:
Translate: The product of six and ten. Explain your answer.
ANYONE HELP PLEASE
Answer:
60
Step-by-step explanation:
product means multiplication
therefore 6×10=60
PLEASE HELP!! ASAP 10 POINTS
Simplify negative 9/6 divided by 3 over negative 2.
a.3 b.1 c.−1 d.−3
Answer:
(b)
Step-by-step explanation:
(-9/6) / (-3/2)
keep the first fraction, change division to multiplication, then flip the second fraction
-9/6 x 2/-3
multiply the numerators by each other and do the same with the denominators
-9x2 / 6x-3
-18 / -18
simplify
answer = 1 (negative divided by negative will always equal a positive)
Answer:
b or 1
Step-by-step explanation:
took the test
g(-1)=____?
Please give an explanation too!!
Solve absolute value equation 2|x-3|-8=2
Answer:
[tex]x=8, -2[/tex]
Step-by-step explanation:
[tex]2|x-3|-8=2[/tex]
[tex]2|x-3|=10[/tex]
[tex]|x-3|=5[/tex] [tex]|x-3|=-5[/tex]
[tex]x-3=5[/tex] [tex]x-3=-5[/tex]
[tex]x=8[/tex] [tex]x=-2[/tex]
i paid $15.00 for 6 gallons of gasoline.
what was the price PER gallon
Answer:
$2.5 (that is very expensive. Don't buy gas from there again)
Step-by-step explanation:
$15.00 divided by 6 = $2.5
Hope I helped :)
Please consider Brainliest :)
4x 32 – 3 +5 x 2 = 0
A. 33
B. 43
c. 36
D. 58
E 34
Answer:
I think it is C
Step-by-step explanation:
On the first play, Calob gained 11 yards. But
during the second play he lost 4 yards. He
gained 3 yards on the third play. Which
expressions represent this situation?
Answer:
-12 + 5(3) = total yards at the end
So your answer would be 3 yards
Step-by-step explanation:
