Answer:
11
Step-by-step explanation:
[tex]\frac{154}{14} =11\\\\check: 11*14=154[/tex]
154 divided by 14 equals 11.
To find the quotient of 154 divided by 14, we perform long division as follows:
11
14 | 154
First, we consider how many times 14 can be divided into 15, which is 1. We write the quotient, 1, above the line.
Next, we multiply 14 by 1, which equals 14. We subtract 14 from 15, resulting in 1. We bring down the next digit, which is 4.
We now consider how many times 14 can be divided into 14, which is 1. We write the quotient, 1, next to the 1 above the line.
Multiplying 14 by 1 gives us 14. Subtracting 14 from 14 gives us 0.
Since there are no more digits to bring down, we can conclude that the quotient is 11.
Therefore, 154 divided by 14 equals 11.
Long division is a method used to find the quotient and remainder when dividing two numbers. It involves dividing, multiplying, subtracting, and bringing down digits until there are no more digits to bring down. In this case, the quotient is 11, indicating that 154 can be divided by 14 precisely 11 times without any remainder.
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11. Find the solutions of x^2-x-30 = 0.
Please give a walkthrough/step by step I am trying to learn how to do it!
To find the solutions of quadratic equation, there are two ways to do which are:
FactorizeQuadratic FormulaStep 1
- Factor the expression.
To factor the expression, refer below:
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - bx - ax + ab}[/tex]
For bx and ax, both can be common-factored. Therefore
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - (b + a)x + ab}[/tex]
From the above, we conclude that:
The middle term is b+aThe last term is a×bThus, we have to find two numbers that satisfy a+b and a×bFrom the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.
[tex] \displaystyle \large{{x}^{2} - x - 30 = (x + 5)(x - 6)}[/tex]
Because in the middle term, it is -x which is negative, we have to let the highest number become negative.
From the factored expression:
The middle term = 5x + (-6x) = -xThe last term = 5 × (-6) = -30Then we replace the standard equation with factored form.
[tex] \displaystyle \large{ (x + 5)(x - 6) = 0}[/tex]
For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!
Hence
[tex] \displaystyle \large{ x = - 5, 6}[/tex]
Therefore, the solutions are x = -5, 6.
15) A small rectangular block of land has a perimeter of 100 m and an area of 225 m². Find the dimensions of the block of land.
Answer:
45 and 5 are the dimensions of the block of land.
Step-by-step explanation:
2(x + y) = 100, x + y = 100/2, y = (50 - x)
xy = 225
x (50 — x) = 225
0 = x^2 — 50x + 225
0 = (x — 45) (x -5)
45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.
Can someone help me please :00
Answer:
according to the dark spots which shows where each number goes to, it would be D.-2
Select the matrix multiplication that transforms vector A to
vector B
Answer:
Option C.
Step-by-step explanation:
Notice that only option B and C involves the vectors in transformation
[tex]A=\begin{bmatrix}4\\2\end{bmatrix}, B=\begin{bmatrix}-8\\-4\end{bmatrix}[/tex]
However, option B is not a defined multification since the dimension of both matrices are not matching. Vector A is 2x1 but the second matrix is 2x2.
In Evan's math class, there are 7 boys and 10 girls. Which of the following is the ratio of boys to girls in Evan's math class?
Answer:
7/17
Step-by-step explanation:
Vito avido is a sales representative for a company that sells roofing material. he receives a graduated commission of 5 percent on the first $5,000 of sales, 6.5 percent on the next $15,000, and a 7 percent on sales over $20,000. What is his commission on $23,458 in sales?
Hence commission will be 7%
[tex]\\ \rm\longmapsto 23458\times \dfrac{7}{100}[/tex]
[tex]\\ \rm\longmapsto \dfrac{164206}{100}[/tex]
[tex]\\ \rm\longmapsto 1642.06[/tex]
Vito Avido's commission on $23,458 in sales is $1466.06.
Here, we have to calculate Vito Avido's commission on $23,458 in sales, we'll break down the sales amount into different ranges and apply the respective commission rates for each range.
For the first $5,000 of sales: 5% commission
Commission = 5% of $5,000 = 0.05 * $5,000 = $250
For the next $15,000 of sales: 6.5% commission
Commission = 6.5% of $15,000 = 0.065 * $15,000 = $975
For the remaining amount over $20,000: 7% commission
Sales above $20,000 = $23,458 - $20,000 = $3,458
Commission = 7% of $3,458 = 0.07 * $3,458 = $241.06
Now, add up the commissions from each range:
Total Commission = $250 + $975 + $241.06 = $1466.06
Vito Avido's commission on $23,458 in sales is $1466.06.
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If angle DEG is 8x + 14 and angle GEF is 8x - 7, the measure of angle DEG is ___ degrees.
Answer:
100.5
Step-by-step explanation:
As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5
solve -5x+y=1 and 9x-2y=4 using multiplication and then elimination.
Answer:
x = - 6, y = - 29
Step-by-step explanation:
Elimination:
2*(-5x + y = 1) = -10x + 2y = 2
9x - 2y = 4 = + (9x - 2y = 4) =
-x = 6
x = -6
9(-6)-2y=4
-54-2y=4
-2y=58
y=-29
simplify (2/3 of 21/4)
Answer: 3 1/2
Step-by-step explanation:
"Of" is the same as multiplication so,
2/3 × 21/4=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
2 × 2/13 × 4 = 42/12
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 42 and 12 using
GCF(4/2 , 1/2) = 6
4/2 ÷ 6 1/2 ÷ 6 = 7/2
The fraction
7/2
is the same as
7÷2
Convert to a mixed number using
long division for 7 ÷ 2 = 3R1, so
7/2 = 3 1/2
Therefore:
2/3 of 21/4 = 3 1/2
Hopefully, I Helped
Which word begins with an open syllable?
silly
sister
sofa
softer
The word sofa begins with an open syllable.
Phonetics is the study of the sound of words/ speeches. This branch of linguistics deals with how words and letters sound and classifies them accordingly.
In phonetics, open and closed syllables refer to the specific nature of how the words end. This means that the words that end with a vowel are known as open syllables while the words that end with a consonant are known as closed syllables. Now, looking at the individual words given in the question, we can ascertain that the initial syllables of the words "silly, sister, softer" all ends in a consonant word. On the other hand, the word "sofa" begins with a vowel "o", thereby making it an open syllable.The easiest way to detect an open and closed syllable is by identifying the position or use of the vowels and consonants in a syllable. This makes the word "sofa" an open syllable.
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The ratio of red beads to blue beads on a necklace is 4:7. What fraction of the beads are blue?
Answer:
fraction of blue beads = 7/(4+7)
= 7/11
Answer:
3:5
Step-by-step explanation:
find a common numeral
Zip codes are numerical designations of locations for the purpose of mail delivery. The following histogram summarizes the number, in hundreds, of zip codes assigned to each state in the United States.
According to the 1.5 IQR rule for outliers, how many low outliers are there in the data set?
Choose 1 answer:
There are zero number of outliers in data set.
What are [tex]1.5[/tex] IQR rule for outliers ?The [tex]1.5[/tex] IQR rule for outliers says that any data point below [tex]Q_{1} -1.5\ IQR[/tex] is a low outlier. or lower than this are a low outliers.
And,
[tex]IQR=Q_{3} -Q_{1}[/tex]
We have,
[tex]Q_{1}= 275[/tex]
[tex]Q_{3} = 933[/tex]
Minimum [tex]= 1[/tex]
Maximum [tex]= 2596[/tex]
Median [tex]= 533[/tex]
Now,
[tex]IQR=Q_{3} -Q_{1}[/tex]
IQR [tex]=933-275=658[/tex]
So,
[tex]Q_{1} -1.5\ IQR[/tex]
[tex]=275-1.5*658[/tex]
[tex]=-712[/tex]
So, any data point lower than this is the low outlier.
As we see the given histogram, there is no point below this outlier so, in the given histogram there is no low outlier.
Hence, we can say that here are zero number of outliers in data set.
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Answer:
The correct answer is 3.
Step-by-step explanation:
You go to the grocery store to buy milk and some eggs. Milk costs $3.67 and eggs cost $2.40. You want to make sure you have enough money. Estimate the cost of these two items to the nearest ones place.
Answer:
Step-by-step explanation:
Let's start by round 3.67. We look at the key digit which is 6 in this case. Since 6 is greater than 5, 3.67 will round up to 4.
The key digit in 2.40 is 4. 4 is not greater than 5, so we round down to 2.
2+4=6
Therefore, an estimate of these two items to the nearest ones place is $6.
Answer:
$2 for the eggs and $4 for the milk
Step-by-step explanation:
Since the eggs cost $2.40 and after the 2 you can see that there is a 4, " 5 or more we add one more, 4 or less just ignore", so it stays $2. However the milk costs $3.67, and here you can see that after the 3 there is a 4, so since it's more than 5 we change the estimated amount to $4.
I hope you understood, and I hope the answer is right :)
GH = 4x - 1, and DH = 8. Find x.
Help
Answer:
x=4.25
------------------------------------------
8+8=4x-1
16=4x-1
4x=16+1
4x=17
x= 17/4
I have no idea if i am correct just a guesstimate
Have a good day
The table shows the times for the 100-meter dash. What is the
difference between the men'stime and the women's time?
Write your answer in both decimal and fraction form.
Times for 100-meter Dash
Men's winner
9.58
2009
Women's winner
10.49
1988
Answer:
0.91 (make sure to include unit of measurement)
Step-by-step explanation:
10.49 - 9.58 = 0.91
Find the output, k, when the input, t, is -7.
k= 10t - 19
k=
Answer:
Here is the answer . hope this helps.
Is 9pi rational or irrational
Answer:
irrational
Step-by-step explanation:
every number that times with pi are irrational, only zero gives a rational number
5 increased by the product of 2 and t
Answer:
Step-by-step explanation:
increased means add.
5 + 2*t
1.
.? ESSENTIAL QUESTION
How are the
midpoint and length of a segment on the
coordinate plane determined?
Answer:
to find midpoint add both"X" coordinates and divide by 2
also add "Y" coordinates and divide by 2
then for line of segment use distance formula which is D=√[(x2-x1)²+(y2-y1)²]
Midpoint is the average of x and y coordinates of the endpoint while the length of a line segment is given by the formula [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex].
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
To determine the midpoint of two coordinates (x₁,y₁) and (x₂,y₂ )
Midpoint = [ (x₁ + x₂)/2 + (y₁ + y₂)/2 ]
The distance between two points (x₁,y₁) and (x₂,y₂ )
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
Hence "Midpoint is the average of x and y coordinates of the endpoint while the length of a line segment is given by the formula [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]".
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Simplify the expression. 3(7) – 3(3)
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]3\times 7-3\times 3[/tex]
This term's numerical factors have been multiplied:-
[tex]=12[/tex]
OAmalOHopeO
To pay for a 15,300 car, Tony made a down payment of $3900 and took out a loan for the rest. On the loan , he paid monthly payment payment of $252.34 for 4 years.
Answer:
a. $24,512.32
b. $712.32
Step-by-step explanation:
a. A price of car $15,300, Tony made a down payment of $3900 so car has $11,400 left of a price and took out a loan.
He paid monthly payments of $252.34 for 4 years. Which mean $252.34 is paid for 48 months, multiplication $252.34 and 48 are $12,112.32. So we have monthly payments is $12,112.32
The total amount Tony ended up for the car is $11,400 + $12,112.32 = $24,512.32
b. The interest Tony pay on the loan is $12,112.32 - $11,400 = $712.32
(1/5) ³
evaluate
pls help :)
0.008
1/5 x 1/5 x 1/5
Which statement best describes the relationship between the two figures?
Answer:
The congruency of triangle is the statement that describes the relationship between two figures Step-by-step explanation:
Abigail stays after school for chess club practice. Everyone is in the mood for a snack, so they buy bags of pretzels from the vending machine for $0.95 each. If the club members buy 6 bags of pretzels, how much do they pay in all?
Answer:
5.70
Step-by-step explanation:
Take the price per bag and multiply by the number of bags
.95 * 6 =5.70
The area of this shape is 24 square units. Which of these statements is true about the area ?
Answer:
D.
Step-by-step explanation:
Combine Like Terms
4. Which expression is equivalent to -9 + 8y + 12 - (-2y) + 1 ?
14y
10y
4+6y
10y+4
Answer:
10y + 4
Step-by-step explanation:
-9 + 8y + 12 - (-2y) + 1
-9 + 8y + 12 + 2y + 1
8y + 2y - 9 + 12 + 1
10y + 4
What is the volume of the right rectangular prism?
a) 21cm^3
b) 42cm^3
c) 120cm^3
d) 240cm^3
Answer:
c part is correct answer
Answer: D) 240 cm^3
Step-by-step explanation:
On edge
If 18 drinks cost £54, how much will 7 drinks cost ?
Answer:
£21
Step-by-step explanation:
Cost of 18 drinks = £54
Cost of 1 drink
= Cost of 18 drinks/18
= £54/18
= £3
Cost of 7 drinks
= Cost of 1 drink × 7
= £3 × 7
= £21
An alphabetic character representing a number
Answer:
a variable
Step-by-step explanation:
The answer is a variable because it's a letter that stands in place of a number
Answer:
simply refers to the type of Latin and Arabic characters representing the numbers 0 - 9, the letters A - Z
The inequality - 15<-6 is given. Write the inequality you get when you perform the
following operation.
Divide both sides of the inequality by 3.
Answer:
-5
Step-by-step explanation:
-15<-6=-15
-15÷3
=-5
Inequalities are used to show unequal expressions. There are five inequalities, and they are: not equal to, greater than, less than, greater than or equal to and less than or equal to.
The inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]
Given that:
[tex]-15 < -6[/tex]
Divide both sides by 3
[tex]-15 \div 3< -6 \div 3[/tex]
Evaluate the division
[tex]-5< -2[/tex]
Hence, the inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]
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