Since +(-) becomes (-) we can write the given problem as
15.6-1.8
Subtraction gives us 13.8
:)
The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24? y – 20 y – 14 y – 8 y – 6
Answer:
y - 6
Step-by-step explanation:
Given
y² - 10y + 24
Consider the factors of the constant term (+ 24) which sum to give the coefficient of the y- term (- 10)
The factors are - 4 and - 6, since
- 4 × - 6 = + 24 and - 4 - 6 = - 10, thus
y² - 10y + 24 = (y - 4)(y - 6)
Thus the other factor is (y - 6)
(y - 4) and ( y - 6 ) are the factors of the quadratic equation
What do you mean by quadratic equation?The equation ax2 + bx + c=0 in one variable, with a 0, is known as a quadratic equation. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.The answer could be simple or complicated.
The roots of the quadratic equations are
x = [-b ± √ (b² - 4ac)] / ( 2a ) ( 2a )
Since (b2 - 4ac) is positive, we have two real solutions where (b2 - 4ac) is the discriminant.
When the discriminant is 0, there is just one viable option (both answers are the same)
In the case of a negative discriminant, two complicated solutions are obtained.
Let the quadratic equation be expressed as A given the data.
Right now, A is valued at
y² - 10y + 24 be equation (1)
The quadratic equations' roots are
y = [ -b ± √ ( b^2 - 4ac ) ] / ( 2a )
y = 10 ± √ ( 100 ) - ( 4 ( 24 ) ) / 2
y = ( 10 ± √4 ) / 2
y = ( 10 ± 2 ) / 2
As a result, y has two values of 10 + 2 / 2 and 6
And , y = (10 - 2) / 2 y = 4
In addition, the variables in the equation are
( y - 4 ) ( y - 6 ) = y² - 10y + 24
The quadratic equation is therefore resolved.
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What is the least common denominator of the equation 3/4(x-3)-1/2=2/3?
2
9
12
36
Sal has 5 balloons. He has 3 red balloons. The rest are blue. Kay has 5 more blue balloons than sal. How many blue balloons does kay have?
Answer:
Kay has 7 blue balloons
Step-by-step explanation:
if Sal has 5 red balloons and 2 blue balloons and Kay has 5 more blue balloons than Sal the Kay has 7 blue balloons
The number of blue balloons does Kay have is 7.
Given that, Sal has 5 balloons. He has 3 red balloons. The rest are blue.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of blue balloons does Kay have be x.
Number of blue balloons Sal have = 5-3=2
The number of blue balloons does Kay have = Kay has 5 more blue balloons than Sal
⇒ x = 2+5 = 7
Therefore, the number of blue balloons does Kay have is 7.
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Help me solve this problem.
We can write an equation to resemble the problem.
1160 = 170 + 50x
x equals the number of boxes he is carrying.
Solve for x.
1160 = 170 + 50x
990 = 50x
19.8 = x
We can't round up because that will be to much weight. So, we are going to round down.
19.8 -> 19
Therefore, the answer is 19.
Best of Luck!
Answer: 19 boxes
Step-by-step explanation: Subtract the delivery person to get 990 lbs. then divide by 50 to get 19.8, but since we can't have 0.8 of a box and 20 boxes we go over, 19 boxes is the correct answer.
A rule of thumb for estimating the size of a crowd is that 2 people take up
5 square feet. If a club has a dance floor that is 30 x 20 feet, how many
people could crowd onto the floor?
Answer:
120 people
Step-by-step explanation:
Length of dance floor = 30 ft
Width of dance floor = 20 ft
Given that 2 people will occupy 5 ft² of space, the number of people that will crowd the floor of the dance floor is calculated as follows:
= Area of dance floor ÷ 5 ft²
= (30*20) ÷ 5
= 600 ÷ 5
= 120.
120 people will crowd the dance floor.
Kai had a gross weekly paycheck of $616 last week. Kai worked 6 hours for 4 of the days and 8 hours on 1 day. What is Kai's hourly rate of pay? a. $16.21 b. $19.25 c. $20.53 d. $25.67 Please select the best answer from the choices provided
The correct answer is B. $ 19.25
Explanation:
To calculate the hourly rate of pay, first, let's calculate the total number of hours Kai worked, and then divide the total earned into the number of hours.
6 hours x 4 days = 24 hours
8 hours x 1 day = 8 hours
24 hours + 8 hours = 32 hours
This shows Kai worked a total of 32 hours. Now to find the hourly rate of pay, follow this procedure:
$616 (total earned) ÷ 32 hours = $19.25 each hour
This means Kai earns $19.25 for each hour of work and therefore the hourly rate of pay is $19.25.
Answer:
B
Step-by-step explanation:
-3/2+3/7 The denominator needs to be the same
Answer:
Step-by-step explanation:
To make the denominator same, find Lease common denominator of 2 and 7
LCD of 2 and 7 = 2*7 = 14
[tex]\frac{-3}{2}+\frac{3}{7}=\frac{-3*7}{2*7}+\frac{3*2}{7*2}\\\\\\=\frac{-21}{14}+\frac{6}{14}\\\\\\=\frac{-21+6}{14}\\\\\\=\frac{-15}{14}\\\\\\=-1\frac{1}{14}[/tex]
Answer:
-15/14
Step-by-step explanation:
Find the Least Common Denominator (LCD) for the two fractions, so the operation can be performed. The LCD is constructed from the factors the fractions have, making sure that all factors they need are included.
In our case, for the first fraction, the factor 2 is needed, and for the second fraction, the factor 7 is needed. Then the LCD is: 2 * 7 = 14
So now, let's write both denominators with the same LCD, by finding the appropriate equivalent fractions:
- 3 /2 = - (3*7) / (2*7) = -21 / 14
3 / 7 = (3*2) / (7*2) = 6 / 14
Therefore the combining can now be performed and renders:
- (21/ 14) + (6/ 14) = - (15/14)
The result is then the fraction : -15/14
will give braineliest can anyone explain and answer this i reallllllly need help i will love you forever:) √5(8+3√6)
Answer:
34.3202205452Step-by-step explanation:
Using the product rule for radicals and the fact that multiplication is commutative, we can multiply the coefficients and the radicands as follows.
Use the distributive property when multiplying rational expressions with more than one term.
Hi There!!
I think your answer is:
[tex]\sqrt[8]{5}+ \sqrt[3]{30}[/tex]
I'm not sure this 100% right....
[tex]\sqrt{HopeThisHelps}[/tex]
[tex]Loserbrazts[/tex]
ヾ(•ω•`)o
Graph the solution of 5 ≤ 9 - 4a
A) A
B) B
C) C
D) D
Answer:
D
Step-by-step explanation:
♡ The Question ♡
Graph the solution of 5 ≤ 9 - 4a
A) A
B) B
C) C
D) D
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
-I believe the answer should be the first choice, A!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
-No Explanation/Step-By-Step provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No Tips provided!
Factor by grouping.
8y2 + y + 40y + 5
A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 260 m and the minimum diameter, 500 m above the base, is 180 m. Find an equation for the tower. (Assume the position of the hyperboloid is such that the center is at the origin with its axis along the z-axis, and the minimum diameter at the center.)
Answer:
(x/90)² + (y/90)² - z²/343750
Step-by-step explanation:
we assume that the horizontal cross-sections are circles,
From our equation
a= b
Given the minimum diameter as 180
The trace= ,0
Minimum radius a= 180/2= 90
The base of the tower is the trace in Z = -500
using the equation of hyperbole of one sheet below
(x/a)² + (y/b)² - ( (z/c)²=1
a= 90
+((-500)²/c)²
x² +y²=90²+ 55000²/c²
diameter at base= 260/2=130m
130² + 55000²/c²= 130²
We can find c
c²=55000²/(130²/90²) = 1210000/8800
= 343750
hence, the equation is
(x/90)² + (y/90)² - z²/343750
Is the open sentence 3z = 2z + 5 true or false when z = 5? A.True B.False
Answer:
3z = 2z + 5
when z=5
3*5=2*5+5
15=15
so true
Step-by-step explanation:
Write an equation based on the word problem below and solve it. *
You have $150 in your savings
account. You earn money to
walk your neighbor's dog every
day after school. If it takes you
8 weeks to have $246 in your
account, how much money, m,
do you earn per week?
m = $13 per week
m = $12 per week
Om = $11 per week
O m = $10 per week
Answer:
m = $12 per week
Step-by-step explanation:
The equation would be 8m + $150 = $246. To find out how much money you earn a week, you need to solve for m.
First, subtract $150 from both sides of the equation. Doing so will leave you with an equation of 8m = $96.
Next, divide both sides by 8. This will leave you with m = $12, which is your final answer of how much money you earn a week.
Find the length of each segment with endpoints A and B. Select the exact answer. (This means that it is either an integer or in simplest radical form) A (5,-6) B (-2,-8) a 10 b 3 c53 d 17
(True or False) The set of ordered pairs {(6,4),(2,-5),(-2,4),(6,-4)} is a function
Answer:
False
Step-by-step explanation:
The same function input (the first number in the pair) cannot have two different outputs (the second number in the pair).
(6, 4) 4 is one output.
(6, -4) -4 is another output.
14
13. MR1 Make Sense and Persevere
Ms. Wilson bought two bags of pet
fish for her twin nieces. Each bag has
g gupples and one tetra. She also
bought one box of fish food that cost d
dollars. Write an algebraic expression to
represent how much she paid in all.
Answer:
67thnhttbny
Step-by-step explanation:
An algebraic expression that represent h how much she paid in all is 2(g+ 1) + d.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The following represents the items bought
Each bag has g gupples and one tetra.
She also bought one box of fish food that cost d dollars.
The expression that represents the items in a bag will be;
bag = g + 1
So, the total spent on fish food is:
2(g + 1)
Fish food
A box costs d dollars.
This means that, the total amount Ms. Wilson spent in the store is 2(g+ 1) + d
An algebraic expression that represent h how much she paid in all is 2(g+ 1) + d.
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If a container of liquid contains 40 oz of solution, what is the number of ounces of pure acid if the given solution contains the following acid concentrations? (a) 20% (b) 15% (c) 40% (d) 60%
Answer:
(d) 60% hope this helped
Perform the indicated operation.
g(x) = x - 3
f (x) = x3 + 4x
Find g(x) - f (x)
Answer: g(x)-f(x)=-x³-3x-3
Step-by-step explanation:
Since we are given g(x) and f(x), we can directly subtract them to find g(x)-f(x).
x-3-(x³+4x) [distribute -1]
x-3-x³-4x [combine like terms]
-3-x³-3x [rewrite]
-x³-3x-3
Now, we know that g(x)-f(x)=-x³-3x-3.
The zeroes of the function are
The answer is -2 , 0, and 4
What do the equations have in common? y = -2 x + -3 y = -2 x + -3
Answer:- the equation have -2x common.
The door was 6ft 7 inches high. How many inches is that?
What the answer
Answer:
79 inches is how tall the door is
Step-by-step explanation:
What is a complementary angle versus a supplementary angle?
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
You asked a sample of individuals what kind of animal is their favorite. Of the 167 individuals in your sample, 52 of them answered "dog". Which of the following gives a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog
a. (23.4%, 38.9%)
b. (16.8%, 32.3%)
c. (3.1696, 3.2696)
d. (2.21%,4.21%)
Answer:
a. (23.4%, 38.9%)
Step-by-step explanation:
Р = x/∝ = 52/167 = 0.3114
At 95% confidence level
∝ = 1 - 0.95 = 0.05
Zerit = Z0.05/2 = 1.96
Р ± Zerit [tex]\sqrt{P(1-P) / n}[/tex]
= 0.3114 ± 1.96 [tex]\sqrt{0.3114(1-0.3114) / 167}[/tex]
= 0.3114 ± 0.0702
= 0.2412 or 0.3816
= 24.1% or 38.1%
Closest Option = 23.4%, 38.9%
A 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)
The formula for calculating the confidence interval based o proportion is expressed according to the formula:
[tex]p\pm z\sqrt{\frac{p(1-p)}{n} }[/tex]
z is the z-score at 95% confidence interval
p is the proportion
n is the sample size
Given the following parameters
p = 52/167 = 0.31
z = 1.96
n = 167
Substitute the given parameters into the formula to have:
[tex]CI=0.31 \pm 1.96\sqrt{\frac{0.31(1-0.31)}{167} } \\CI=0.31 \pm 1.96\sqrt{\frac{0.31(0.69)}{167} } \\CI=0.31 \pm 1.96(0.035)\\CI=0.31\pm 0.0701\\CI = (0.31-0.0701, 0.31+0.0701)\\CI=(0.234, 0.389)[/tex]
Hence a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)
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Find the Slope using the Slope Formula
Answer:
Slope = -1
Step-by-step explanation:
Given coordinates,
→ x1 = -2
→ y1 = 1
→ x2 = -3
→ y2 = 2
Now we have to,
→ Find the slope using slope formula.
Formula we use,
→ Slope (m) = (y2 - y1)/(x2 - x1)
Let's find the required slope,
→ m = (y2 - y1)/(x2 - x1)
→ m = (2 - 1)/(-3 - (-2))
→ m = (2 - 1)/(-3 + 2)
→ m = 1/(-1)
→ [ m = -1 ]
Hence, the value of slope is -1.
which is right??????
Answer:
Point D
Step-by-step explanation:
To draw a perpendicular bisector between BE, you have take more than half of the length BE on the compass. So, it should be D
"If four shirts cost $112, how much will 10 shirts cost? Assume all the shirts are the same price."
Answer:
$280
Step-by-step explanation:
4 shirts = $112
1 shirt = $112 ÷ 4
= $28
10 shirts = $28 × 10
= $280
Answer:
Step-by-step explanation:
112/4= $28 each
$28 x 10 shirts = $280
Holmes Junior High has 125 more students than Harper Junior High. When the two schools are merged there will be 579 students. How many students currently attend each school?
Answer: 454
Step-by-step explanation: Holmes has 125, Merged there is 579, 579-125 = 454 :) easy subtraction
10 – 9 x 24 ÷ 8 x 6 Solve With Pemdas
Answer:
The answer is − 152
Step-by-step explanation:
That was found using PEMDAS.
Answer:
-152
Step-by-step explanation:
use pemdas method
find the value of x when lines w and v are parallel.
Answer: B. 17
Step-by-step explanation:
4x-3 = 65
Add 3 on both sides
4x = 68
Divide by 4 on both sides
x = 17
BOOM!
Answer:
B) 17
Step-by-step explanation:
is 2 by 2=4 rational or inrational and why
Answer: Rational number.
Step-by-step explanation:
Rational numbers:
Any number which can be expressed in the form of p/q.
Where q is not equal to Zero.
p,q are integers.
Here in 2/4 ,
p=2
q=4
Answer: Rational
Step-by-step explanation:
A rational number is an integer divided by an integer where the result is a terminating or repeating decimal.
2 x 2 = 4 --> 4 is terminating so it is a rational number.
If you are in a higher level math class, the reason is:
Rationals are CLOSED over multiplication.