Answer:
Slope is -2
Step-by-step explanation:
Eight minus a number divided by three is greater than or equal to eleven
Answer:
Step-by-step explanation:
8-x/3>=11 is the equation, and the answer is:
x<= -9, so any number less than -9 is correct.
The solution is x ≤ -9
What are Inequality Equations?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the number be x
8 - x/3 ≥ 11
Subtracting 8 on both sides , we get
-x/3 ≥ 3
Multiplying by 3 on both sides , we get
-x ≥ 9
Interchanging the sign on both sides , we get
x ≤ -9
Hence , the solution is x ≤ -9
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write a quadratic equation with the roots 1/2 and -5
x = 1/2 or x = -5
2x - 1 = 0 or x + 5 = 0
(2x-1)(x+5) = 0
2x² + 10x - x - 5 = 0
2x² + 9x - 5 = 0
Hope it helps!
Answer:
2[tex]x^{2}[/tex] + 9x - 5 = 0
Step-by-step explanation:
// Use the Vijet's theorem,
// note that the kofficient before [tex]x^{2}[/tex] = 1
Sum of the roots is:
1/2 + (-5) = - 4,5
Product of the roots is:
0,5 * (-5) = - 2,5
Formation of quadratic equation:
[tex]x^{2}[/tex] - (sum of the roots) x + product of the roots = 0
[tex]x^{2}[/tex] - (-4,5) * x + (-2,5) = 0
[tex]x^{2}[/tex] + 4,5x -2,5 = 0
// multiply both sides by 2
2[tex]x^{2}[/tex] + 9x - 5 = 0
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Determine the intercepts of the line:
y = -9x - 14
Answer: (-14/9, -14) or (-1.5, -14)
Step-by-step explanation:
y = -9x - 14
the coefficient without a variable in a slope-intercept equation is the y-intercept -- in this case, it is -14
to find the x intercept you use the equation given, set y to equal zero and Solve for x
- Your new equation should be: 0 = -9x - 14
Our new goal is to isolate the x
Start by doing the inverse of the coefficient, so add 14 to both sides
- Your new equation should be: 14 = -9x
Theres still a -9 attached to the x and the -9 is attached by multiplication -- so now you do the inverse function and divide both sides by -9
Your final answer: -14/9 = x or -1.5 with a repeating decimal
4.
The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus
with diagonals 16cm and 12cm is
Answer:
48 cm²
Step-by-step explanation:
The diagonals are in a proportion of 4:3, thus sides of a Pythagorean Triple; they cross at a right angle. The figure formed by joining the midpoints of adjacent sides is a rectangle with sides half the lengths of the original diagonals. 8×6=48
Halppppppppppppppppppp
Answer:
Yes
Step-by-step explanation:
[tex]y\leq 3x+9\\\\8\leq 3(7)+9\\\\8\leq 21+9\\\\8\leq 30[/tex]
Yes, the given point makes the inequality true. We end up with a true statement.
Hope this helps.
A certain sum of money gives $ 510 as compound interest 12¹/₂ % per annum for 2 years. Find the simple interest on the same sum of money at the same rate for the same period of time.
Answer:
$127.5
Step-by-step explanation:
Given data
P = $510
r= 12.5%
t= 2 years
The expression for simple interest is
SI= PRT/100
SI= 510*12.5*2/100
SI= 12750/100
SI= 127.5
Hence the Simple interest is $127.5
Can someone please help me with this I will give brainliest
Answer:
Step-by-step explanation:
2(2x +4) - 2x = x + 18
4x +8 -2x = x +18
2x -x = 18-8
X = 10
Put the value of x in both side
Left side *+*+*+*+*+
2 ( 2*10+4)-2*10
48-20 = 28
Right side +*+*+*+*+*
X + 18
10+ 18 = 28
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What is the name for a savings account in which money must stay deposited for a specific amount of time? A. Traditional savings account B. Certificate of deposit C. Money market account D. Retirement account
Answer:
B. Certificate of deposit
Step-by-step explanation:
in traditional savings account you can take the money out anytime (usually up to 5 times a month)
in retirement account (well this could include 401k ,etc..)
Answer: B
Step-by-step explanation:
This is for today help!!!!
Answer:
Part A 73 Part B 113
Step-by-step explanation:
A flower vase bought for Rs. 72 and sold for Rs. 63. Find the loss percent.
Answer:
12.5% is loss....
hope it helps.
Answer:
the lost percentage is 14.28%
Step-by-step explanation:
1 - (72÷63) = -0.1428 x 100% = -14.28 %
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Determine which points are a solution to the system of inequalities.
the answer choices are:
a. (0,0)
b. (4,1)
c. (3,-2)
d. (2,0)
e (4,-4)
f (1,3)
Answer:
I think it's e 4 -4
Step-by-step explanation:
hope this helps
A meal costs $30 before tax and tip.
There is a 7% sales tax. After the tax, a 20% tip is
added.
What is the total after tax and tip?
Answer:
$38.1
Step-by-step explanation:
Tax: 30*0.07 = 2.1
Tip: 30*0.2 = 6
Total: 30 + 2.1 + 6 = 38.1
Alec is thirsty and wants to know how much milk can fit in his favorite mug. His mug is a cylinder and has a radius
(r) of 2 inches and a height (h) of 8 inches. The formula for the volume of a cylinder is given.
V = trh
How much milk can Alec's mug hold?
Answer:
i think it is v=8 love
Step-by-step explanation:
Answer:
It's 10
Step-by-step explanation:
what is the radius of a circle with the ratio 1:4 when the smaller one is 12cm
Answer:
48
Step-by-step explanation:
1 to 4 = 12 to ?
multiply the small one by 4 to get the bigger one
Step-by-step explanation:
1:4
12:x
1=4
12=x
cross multiply
x=4×12
x=48
solve the inequality -3x + 6 > -2
Answer:
x<8/3
Step-by-step explanation:
Your answer is x is less than 8 over 3
Answer:
Answer is d
Step-by-step explanation:
x<8/
The terrace of a house is rectangular in shape with a length of 10m and a width of 5m. Find the volume of
rainfall collected on the terrace if its height is 1m, Express in liter.
Answer:
Step-by-step explanation:
Volume = Area of the base times the height
V = length * width * height
V = 10 * 5 * 1
V = 50 m^3
Now change it to liters
50 * 1000 = 50000 liters^3
Set up a system of equations for the following situation: The girls basketball team spent a total of $1,590 on new basketballs and sweat suits for the players. If each new basketball cost $30 and each sweat suit cost $90, how many of each did the team purchase? *
Answer:
there are 13 players in a team
please help! how do you do this question?
9514 1404 393
Answer:
(0.75, -1)
Step-by-step explanation:
The center of the circle is at the midpoint of any diameter segment. The midpoint formula can be used.
C = (A +B)/2
C = ((-1, 1) +(2.5, -3))/2 . . . . fill in A and B
C = (-1+2.5, 1-3)/2 . . . . . . . add the coordinates
C = (1.5, -2)/2 . . . . . . finish the addition; next, divide by 2
C = (0.75, -1) . . . . . . the center of the circle
cual numero es mayor q 9/5
Answer:
9/5 es mayor que 4/5 Realmente espero que esto te ayude
five litres of paint costs R575 .Work out the cost of fifteen litres of paint
Answer:
first of all learn how to spell liters
1725
Step-by-step explanation:
15 liters of pain will cost Rs.225
What is multiplication?Multiplication is a process of adding a number repetitively. Mathematically, we can write -
m = a x b
Given is that the 5 liters of paint costs Rs. 75.
5 liters of paint costs Rs. 75.
1 liter of paint will cost Rs. (75/5)
15 liters of pain will cost Rs. (75/5 x 15) = 75 x 3 = Rs. 225
Therefore, 15 liters of pain will cost Rs.225
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Abby got a summer job. The table shows how much money she will earn based on the number of hours she works.
Hours Worked 20 30 40 50
Dollars Earned 150 225 300 375
Based on the table, how much money will she earn if she works 65 hours?
O A $450.00
B. $475.50
C. $487.50
D. $525.00
Answer:
C
Step-by-step explanation:
She earns $487.50
375+75+37.5=487.5
Answer: c
Step-by-step explanation
First find the unit rate
$150 divided by 20 = $7.50
So she's earning $7.50 an hour
$7.50 times 65 hours = $487.50
So the correct answer is C
Which value is the solution for this equation
2/3(6h-9)=6
A) -1
B) 1
C) 3
D) 5
Answer:
h = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
2/3(6h - 9) = 6
Step 2: Solve for h
[Division Property of Equality] Divide 2/3 on both sides: 6h - 9 = 9[Addition Property of Equality] Add 9 on both sides: 6h = 18[Division Property of Equality] Divide 6 on both sides: h = 3Plz help with all 3 questions i will give Brainliest
Answer:
Step-by-step explanation:
8) entire cost of meal = m
m = 14.68 + 14.68
= 29.36
Solution $29.36
9) Let Elijah's height = h
h + 6 = 48
h = 48 - 6
Solution 42 inches
10) x - 15 = 20
x = 20 + 15
Solution 35 ounces
the sum of the number and 5 is 12
Answer:7
Step-by-step explanation: x+5=12 solve for x = 7
Answer:
"a number" = 7
Step-by-step explanation:
let "a number" = x.
x + 5 = 12
Isolate the variable x. Note the equal sign, what you do to one side, you do to the other. Subtract 5 from both sides.
x + 5 (-5) = 12 (-5)
x = 12 - 5
x = 7
7 is your answer.
~
Suppose $ 1,250 is placed in a savings account over 2 years. Find the interest earned if the rate is 4.5%
Answer: $112.50
Step-by-step explanation:
The Simple interest will be calculated using:
= Principal × Rate × Time
= 1250 × 4.5% × 2
= 1250 × 0.045 × 2
= $112.50
Therefore, the interest earned will be $112.50
Answer:$112.50
Step-by-step explanation:
how many solutions does the equation 5x+13=13 have
Answer:
It only has one solution
Step-by-step explanation:
Y=-x-2
2x-3y=-9
Solve for x and y
Answer:
y = - x - 2
2x - 3y = - 9
put value of y
2x - 3(-x - 2)= -9
2x +3x +6 = - 9
5x = - 9 - 6
5x = - 15
x = - 3
now put x in y = - x - 2
y = - (-3)-2
= 3-2
y = 1
subtract (2y + 3x-x²) from (5x²-y2-2x)
Answer:
6x² - 5x - y² - 2y
Step-by-step explanation:
We have
5x² - y² - 2x - (2y + 3x - x² ) ← distribute parenthesis by - 1
= 5x² - y² - 2x - 2y - 3x + x² ← collect like terms
= 6x² - 5x - y² - 2y
1/8 = 2/5 times X . What is X
Answer: 5/16
Step-by-step explanation:
Answer:
0.0125
Step-by-step explanation:
1/8=2/5x
Divide by 2/5 on each side of the equation. X=0.0125. 0.0125=1/80. The last option.
A 15 foot ladder leans against a house with the base of the ladder 4 feet from the house. How high, to the nearest foot, up the wall will the ladder reach?
Answer:
height of house to ladder reach is 14 ft
Explanation:
Given data
ladder = 15 ft
base = 4 ft
to find out
height of house
solution
we know this is triangle shape so we apply here
so we consider here x is ladder and y is base and z is height
so
by pythagoras theorem
z² + y² = x²
so here
z² = x² - y²
put value
z² = 15² - 4²
z² = 209
z = 14.45 = 14
so height of house to ladder reach is 14 ft
Step-by-step explanation:
The ladder and the ground form a right triangle. Use the Pythagorean Theorem to find the other leg of the triangle.
a^2 + b^2 = c^2
a^2 + 4^2 = 15^2
a^2 + 16 = 225
a^2 = 209
a = 14.5 feet