The equation that shows Courtney rode 180 mlles more than Breanna rode is c = b + 180
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let b represent the number of miles rode by Breanna and c represent that of Courtney.
c = b + 180
The equation that shows Courtney rode 180 mlles more than Breanna rode is c = b + 180
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Students in a class were surveyed about the number of children in their families. the results of the survey are shown in the table. a 2-column table has 5 rows. the first column is labeled number of children in family with entries 1, 2, 3, 4, 5 or more. the second column is labeled number of surveys with entries 9, 18, 22, 8, 3. two surveys are chosen at random from the group of surveys. after the first survey is chosen, it is returned to the stack and can be chosen a second time. what is the probability that the first survey chosen indicates four children in the family and the second survey indicates one child in the family? startfraction 1 over 50 endfraction startfraction 2 over 15 endfraction startfraction 3 over 20 endfraction startfraction 17 over 60 endfraction
The probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.
What is probability?The surveys are chosen with replacement (the first one is replaced before the second is chosen), and the events are independent.
This means that the probability of both together is the product of each event's probability.
The probability of choosing a survey that indicates 4 children in the family is 8/60 since there are 8 surveys with 4 children out of a total of (9+18+22+8+3) = 60 surveys.
The probability of choosing a survey that indicates 1 child is 9/60 since there are 9 surveys with 1 child out of a total of 60.
Together this gives us;
[tex]= \dfrac{8}{60} \times \dfrac{9}{60}\\\\ =\dfrac{ 72}{360} \\\\ =\dfrac{1}{5}[/tex]
Hence, the probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.
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Answer:
1/50
Step-by-step explanation:
factorise fully 2ab2+ 8a2b
[tex]2 {ab}^{2} + {8a}^{2} b[/tex]
solution:[tex]2ab(b + 4a)[/tex]
to factorise first, find the highest common factor of each of the terms in the expression then, write the highest common factor (HCF) in front of any brackets atlast, fill in each term in the brackets by multiplying out.
The value of the expression after factorization will be;
⇒ 2ab (b + 4a)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 2ab² + 8a²b
Now,
Factorize the expression as;
⇒ 2ab² + 8a²b
⇒ 2ab × b + 2×2×2a×a×b
⇒ 2ab (b + 4a)
Thus, The value of the expression after factorization will be;
⇒ 2ab (b + 4a)
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A Premier League footballer is value £30 million and after a bad season his transfer value depreciates by 20%. His next season is a good one and his transfer value appreciates by 20%. how Find the value of the footballer after his good season.
How to work out Sir
Answer:
£28.8 Milllion
Step-by-step explanation:
£30,000,000 × 0.8 = £24,000,000 (Depreciates by 20%)
£24,000,000 × 1.2 = £28,800,000 (Appreciates by 20%)
50 x 1 decimal value
And then what’s 50 x 0 decimal value
Do the resulting product
Answer:
If I understood what you mean properly... 0
Step-by-step explanation:
50 x 1 = 5050 x 0 = 0Resulting product:50 x 0 = 0BRAINLIEST TO CORRECT ANSWER!!!!
A circular garden has a diameter of 12 yards. What is the area of the garden?
Use 3.14 for pi.
O A. 452.16 yd
O B. 56.52 yd
O C. 113.04 yd
O D. 37.68 yd
Answer:
As Per Provided Information
Diameter of Garden 12 yards
Radius of Garden will be 12/2
Radius of Garden will be 6 cm
We have been asked to find the area of the circular garden .
Formula Used here
[tex] \underline{\boxed {\bf \: Area_{(Garden)} \: = \pi {r}^{2}}} [/tex]
Just put the value and let's calculate the area of circular garden .
[tex] \qquad \longrightarrow\sf \: Area_{(Garden)} \: = 3.14 \times {6}^{2} \\ \\ \\ \qquad \longrightarrow\sf \: Area_{(Garden)} \: = 3.14 \times 36 \\ \\ \\ \qquad \longrightarrow\sf \: Area_{(Garden)} \: = 113.04 \: {yard}^{2} [/tex]
Therefore,
Area of circular garden is 113.04 yard².Step-by-step explanation:
Given :-
Diameter of garden is 12 yard , so radius will be 6 yardsWe have to find the area of garden
Area of Circle = πr²
Putting the known values ,
Area = 3.14 × 6² yd²
Area = 113.04 yd²
A rectangular prism has a height of 15 centimeters and a width of 6 centimeters. The surface area of the prism is 684 square centimeters. What is the length of the prism?
A. 24 cm
B. 12 cm
C. 9 cm
D. 6 cm
Answer:
Step-by-step explanation:
Let the length be L
Formula
SA = 2Lw + 2Lh + 2wh
Givens
h = 15 cm
w = 6 cm
L = ?
SA = 684 cm^2
Solution
Substitue what you know into the given formula
2*6*L + 2*15*L + 2 * 6 * 15 = 684 Combine
12*L + 30*L + 180 = 684 Combine again
42L + 180 = 684 Subtract 180 from both sides.
42L +180 -180 = 684 - 180
42L = 504 Divide by 42
Answer: L = 12
Which expression is equivalent to startfraction (3 m superscript negative 2 baseline n) superscript negative 3 baseline over 6 m n superscript negative 2 baseline endfraction? assume m not-equals 0, n not-equals 0.
The expression that is equivalent to the given statement was reduced.
The given expression is:
[tex]\frac{(3m^{-2}n)^{-3} }{6mn^{-2} }[/tex]
What are some important power rules?Some important power rules are:
[tex](ab)^n=a^nb^n[/tex]
[tex](a^{m} )^n=a^{mn}[/tex]
[tex]a^m.a^n=a^{m+n}[/tex]
[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
[tex]a^{-m} =\frac{1}{a^m}[/tex]
So, the given expression can be written as:
[tex]\frac{3^{-3} m^{6} n^{-3} }{6mn^{-2} }[/tex]
=[tex](\frac{3^{-3} }{6} )*(\frac{m^{6} }{m} )*(\frac{n^{-3} }{n^{-2} } )[/tex]
=[tex](\frac{1}{3^{3} *6} )*m^{5} *(\frac{1}{n^{3} *n^{-2} } )[/tex]
=[tex]\frac{m^5}{162n}[/tex]
Hence, the expression that is equivalent to the given statement was reduced.
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Answer this for 20 points and brainliest
Answer:
D
Step-by-step explanation:
If you are solving for something like this, set the given full integer equal to x times the percent given
-3 and -1/2 form quadratic polynomial
Answer:
2x² + 7x + 3 = 0
Step-by-step explanation:
[tex]\sf \text{Sum = -3 + $(\dfrac{-1}{2})$}[/tex]
[tex]\sf = \dfrac{-3*2}{1*2}-\dfrac{1}{2}\\\\=\dfrac{-6}{2}-\dfrac{-1}{2}\\\\=\dfrac{-7}{2}[/tex]
[tex]\sf \text{Product =$-3*\dfrac{-1}{2}$}[/tex]
[tex]= \dfrac{3}{2}[/tex]
Quadratic polynomial:
[tex]\boxed{x^{2}-sum *x+product = 0}[/tex]
[tex]x^{2}- \left(\dfrac{-7}{2}\right)x+\dfrac{3}{2}=0\\\\x^{2} + \left(\dfrac{7}{2}\right)x+\dfrac{3}{2}=0\\[/tex]
Multiply the entire equation by 2
[tex]2*x^{2} + 2*\dfrac{7}{2}x +2*\dfrac{3}{2}=0[/tex]
2x² + 7x + 3 = 0
What is the rate of change for y=5x+1?
i think the answer is this
In 1983, a winter hat cost $12.95. today, a winter hat costs $24.50. if the cpi is 219, what is the percent relation of the actual price of a winter hat to the expected price? a. the actual price is 39.3% higher than the expected price. b. the actual price is 15.8% higher than the expected price. c. the actual price is 13.6% lower than the expected price. d. the actual price is 29.8% lower than the expected price.
The actual price is 13.6% lower than the expected price.
What is cpi?CPI or Consumer Price Index is a measure of determining retail inflation in an economy, based on price variations in a fixed basket of goods and services, over overtime periods.
Let's suppose the expected price is x.
The percent relation of the actual price of a winter hat to the expected price is given by;
CPI = ( expected price ) : ( price in 1983 ) × 100
219 = ( x : 12.95 ) × 100
Divide both sides by 100.
x : 12.95 = 2.19
x =2.19 × 12.95
x = $28.36 ( expected price )
p = ( 24.50 × 100 ) / 28.36
p= 2450/28.36
p = 86.4 %
100 % - 86.4 % = 13.6 %
Hence, the actual price is 13.6% lower than the expected price.
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PLEASE HELPPP!!! I will give brainly points
Answer:
b
Step-by-step explanation:
Answer:
The correct answer is B, because B. is a compression of 6 and x, with 6 added in just like they said in the question.
6. Which is cheaper?
A) $12 for 800ml or
B) $14 for 1 L
Answer:
A
Step-by-step explanation:
What two factors have a sum of 23
Answer:
2 factors
Step-by-step explanation:
you and your friend are selling tickets for the orchestra concert, On Thursday, you sold 15 tickets and your friend sold 10 tickets.
A. What percent of the tickets sold on Thursday did you sell?
B. On Friday, you sold 9 tickets and your friend sold 16 tickets. What percent of the tickets sold on Friday did you sell?
C. What percent of the total tickets sold on Thursday and Friday did you sell?
Answer:
....
Step-by-step explanation:
The total tickets sold is 10+15=25.
The percentage of tickets told by me will me 15/25=3/5 or 60%.
Similarly for the second one: total sold 9+16=25
my proportion 9/25=36%
Please help me figure these out, it would be greatly appreciated. TYSM !!
Answer:
1st one is A. 2nd is D. 3rd is A. 4th is C. and the 5th one is B
Step-by-step explanation:
Bobby was bringing his friends scalloping in Crystal River, FL. While searching for the ideal spot, he recorded the following depth of water at each stop throughout the day.
5,7,3,6,8,5,6,4,15
Mean (Round your answer to the nearest hundredth):
Median:
Mode:
Range:
Answer: Below:
Step-by-step explanation:
Mean: (5+7+3+6+8+5+6+4+15)/9 = 6.55555 ≅6.56
Median: 6
Mode: 5, 6
Range: 12
The figures are similar. Find x.
Pls help meee
If you start with the equation x-6, what equation do you have when you add 3 to both sides
Please do number 3 or number 5
Answer:
No 3.
[tex]165 \: \times \frac{103}{100} [/tex]
No 5.
[tex]15 \: \times \frac{100 + 17}{100} [/tex]
its been a long time
do you mind mark me as the brainliest
Answer:
3. 169.95
How:
165x1.03 = 169.95
Calvin has a gift card which he is using to buy candy (x), and he has been tracking how much money (y) he spends. He noted that after buying 4 pieces of candy (in all) he has $28.00 left on his card and then after buying 10 pieces of candy (in all) he has $25.00 left on his card. Write the equation of the line that represents his spending on candy.
Answer:
Negative Correlation
Step-by-step explanation:
The plot looks like it's going downwards. If it was an equation, it'd be something with y = -x +b.
how to I write a one solution function??
The table shows some ordered pairs that belong to quadratic function h.
What is the range of h?
Question 10 options:
All real numbers greater than or equal to -5
All real numbers greater than or equal to 0
All real numbers
All real numbers greater than or equal to -2
Answer: All real numbers greater than or equal to -5
Step-by-step explanation:
The vertex has a y coordinate of -5, and all the other outputs are more than -5.
As smart phones have grown in popularity, regular cell phones have fallen out of favor. As a result, one electronics retailer estimates that 10.5% fewer regular cell phones will be sold every year. If the retailer sells 847,901 regular cell phones this year, how many will be sold 5 years from now?
Answer:
4,239,505
Step-by-step explanation:
847,901 x 5 = 4,239,505
Anyone? Help me. please.
Answer:
Step-by-step explanation:
sine and cosecant : positive in Q1 and Q2
cosin and secant: positive in Q1 and Q4
tangent and cotangent: positive in Q1 and Q3.
Answer:
Quadrant I
Step-by-step explanation:
In the first quadrant all the 6 functions are positives.
Think instead of (x, y) any point has now the coordinate (cos α, sin α) so in quadrant I we have x, y positive therefore sin α and cos α are positive.
Tangent α is positive because is sinα/cosα = positive /positive = a positive
Cotangent α= 1/tan α = cosα / sinα = positive /positive = a positive
Secant α = 1/cos α = 1/ a positive number = a positive number
Cosecant α = 1/sin α = 1/ a positive number = a positive number
Pls help nothings helping !!
Answer:
Step-by-step explanation:
∠BCD=∠DEF=38°(alternate angles)
∠FDE=90-38=52°
Δ BCD≅ΔFED
[tex]\frac{CD}{sin~90} =\frac{10}{sin~38} \\CD=\frac{10}{sin~38} \\\frac{DE}{sin ~90} =\frac{17}{sin ~52} \\DE=\frac{17}{sin~52} \\CE=CD+DE=\frac{10}{sin~38} +\frac{17}{sin~52} \\=?[/tex]
Find the area of the shaded sector. round to the nearest tenth. Please help!!
Answer:
Step-by-step explanation:
Remark
If the entire circle was shaded the radius sweeping out the circle would go through 360 degrees.
So the way to solve this problem is to multiply the entire area of the circle by (81/360)
Area of the sector = (81/360) * pi * r^2
pi = 3.14
r =8.91 cm
Area of the sector = (81/360) * 3.14 * 8.91^2
Area of the sector = 56.09
Rounded to the nearest tenth, the answer is 56.1
Answer: 56.1 cm^2
If 9x+4y=−3 is a true equation, what would be the value of 6(9x+4y)?
Answer:
-18
Step-by-step explanation:
9x + 4y = -3 (Given)
Multiply both sides of the equation by 6, we find:
6(9x + 4y) = 6(-3)
-> 6(9x + 4y) = -18
Answer:
-18
Step-by-step explanation:
Given
9x + 4y = -3We need to evaluate 6(9x + 4y).
Substitute the value of 9x + 4y in the expression.
6(9x + 4y)6(-3)-18Lloyd solves the equation 24x + 18(x – 2) = 216 for x. Some of his steps are shown.
Step 1: 24x + 18(x – 2) = 216
Step 2: 24x + 18x – 36 = 216
Step 3: 42x – 36 = 216
Step 4: 42x = 252
Which of the following statements BEST describes what Lloyd did to get from Step 3 to Step 4?
A.
combined liked terms
B.
used the distributive property
C.
used the addition property of equality
D.
used the multiplicative inverse property
Answer:
C. addition property
Step-by-step explanation:
they wouldve had to add 36 to both sides of the equation, so addition
Deon buys 5 pounds of cherries and pays 12.80. Which is the cost of one pound of cherries
Answer:
$2.56
Step-by-step explanation:
12.80 ÷ 5 = 2.56