-1/32ac2
You want to cancel out the -32 on the top with the 64 on the bottom leaving -1. Then do the same with the variables.
What is the interquartile range of this data set? 5,5,6,7,9,11,14,17,21,23
A. 7
B. 9
C. 11
D.13
Given that x and y vary directly, write the equation relating x and y if x = 3 when y=24. A.y=8x B.xy=8 C.y= 8/x D.y= x/8
The correct answer is A. Because if you substitute the x and y you will get the same outcome. y=8x substitute and you get 24= 8(3) and then multiply and you get 24 = 24
Is x^2 + 20x - 100 a perfect square trinomial? Explain why or why not.
No, x^2 + 20x - 100 is not a perfect square trinomial.
Explanation:No, x^2 + 20x - 100 is not a perfect square trinomial.
In order for a trinomial to be a perfect square, it must be in the form (a + b)^2 or (a - b)^2.
The given trinomial can be factored as (x + 10)(x - 10), which is not in the form of a perfect square.
What is 20/7 as a mixed number in simplest form?
Answer:
2 6/7
Sorry if I'm wrong.
Cynthia, Annie, and Suz went to Pepe's Pizza Palace for dinner after band practice. They shared a large pizza and each girl ordered a soda. When the bill came, they talked about how to split it up fairly. "Annie, you had three slices and a medium soda so you should pay one-third of the bill," said Suz. "Well, I'll chip in a dollar more than that," replied Annie. "And since you only had two slices and also ordered a small soda, you should only pay 20% of the bill." "That seems fair," said Cynthia. "I ate three slices and had a large soda, so I should pay the most. I'll pay the remaining $8.80." How much was the total bill for the pizza and the three sodas, and how much did each girl pay?
Final answer:
The total bill at Pepe's Pizza Palace was $16.60. Annie paid $6.53, Suz paid $3.32, and Cynthia paid the remaining $8.80.
Explanation:
To determine the total bill and how much each girl paid, we first acknowledge that Cynthia has stated she would pay the remaining $8.80. This gives us a starting point to figure out the portions of the bill that Annie and Suz will pay.
Suz suggests that Annie pays one-third of the bill and offers to pay $1 more than that amount. Suz is to pay 20% of the bill. If Cynthia pays the remaining amount, let's denote the total bill as B.
Using the information given:
Annie pays one-third of the bill plus $1: (1/3)B + $1
Suz pays 20% of the bill: 0.20B
Cynthia pays the remaining $8.80.
Add these up to get the total bill.
(1/3)B + $1 + 0.20B + $8.80 = B
Solving this equation:
0.33B + 0.20B + $8.80 - $1 = B - $1
0.53B + $7.80 = B
B - 0.53B = $7.80
0.47B = $7.80
Dividing both sides by 0.47:
B = 7.80 / 0.47
B = $16.60 (rounding to two decimal places)
Therefore, the total bill amounts to $16.60. Now to find out how much each girl pays:
Annie's portion:
(1/3)*16.60 + $1 = $5.53 + $1 = $6.53
Suz's portion:
0.20*16.60 = $3.32
Cynthia's portion is the amount she agreed to pay:
$8.80
To summarize, the total bill was $16.60. Annie paid $6.53, Suz paid $3.32, and Cynthia paid $8.80.
If one store is selling 3/4 of a bushel of apples for $9 and another story selling 2/3 of a bushel of apples for $9 which store has the better deal.
***I know the answer is calculate the $ amount first. 9 divided 3/4 total $12
9 divided 2/3 total $13.50 better deal 3/4 is cheaper...
But my question is how can identify when is division or multiplication??
I was doing multiplication but it did not work,.....why division this time?
For this case we have,
store 1:3/4 of a bushel of apples -----------------------> $ 9
1 bushel of apples -------------------------------> x
From here the value of x is cleared, resulting in:
[tex]x =\frac{(1)(9)}{\frac{3}{4} } \\\\x = 12\\[/tex]
store 2:2/3 of a bushel of apples -----------------------> $ 9
1 bushel of apples -------------------------------> x
From here the value of x is cleared, resulting in:
[tex]x = \frac{(1)(9)}{\frac{2}{3} }\\\\x = 13.50 \\[/tex]
Therefore it is convenient to buy apples in store 1 because it is cheaper.
Answer:
It is convenient to buy apples in store 1 because it is cheaper. A division must be made for each case because you want to find the unit cost of a product having the total cost and the amount in fraction.
Find the measure of ∠FEG.
1. 25°
2. 65°
3. 80°
4. 90°
The correct answer is 65 degrees.
What is the fraction in simplest form?
14/16
To find a fraction's simplest form, you need to find the GCF. The greatest common factor is the largest number that can go into the numerator and the denominator.
We know that 1 is a factor, but let's keep going to make sure. 2 is also a factor.
14/2 = 7
16/2 = 8
Since 14 and 16 are not divisible by 3, 2 is the GCF (we know not to continue dividing).
Therefore, it's simplest form is 7/8.
The fraction 14/16 in simplest form is 7/8.
To simplify the fraction 14/16, find the greatest common divisor (GCD) of the numerator (14) and the denominator (16) and then divide both the numerator and denominator by the GCD.
Step 1: Find the Greatest Common Divisor (GCD) of 14 and 16.
The divisors of 14 are 1, 2, 7, and 14.
The divisors of 16 are 1, 2, 4, 8, and 16.
The largest number that appears in both lists is 2. Therefore, the GCD of 14 and 16 is 2.
Step 2: Divide both the numerator and denominator by the GCD (which is 2).
14 ÷ 2 = 7
16 ÷ 2 = 8
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At his birthday party Joey got $100 from each of his 2 grandmothers $40 from his dad and $5 from sister, how much did he get? Draw a picture write and solve the equation. Then at the bottom of the paper there 3 columns one with an h another with a t and the last one an o or a zero not sure
He got $245 for his birthday
Which is the solution to the equation -3x-4=5(x+4)
Step 1. Expand
-3x - 4 = 5x + 20
Step 2. Add 3x to both sides
-4 = 5x + 20 + 3x
Step 3. Simplify 5x + 20 + 3x to 8x + 20
-4 = 8x + 20
Step 4. Subtract 20 from both sides
-4 - 20 = 8x
Step 5. Simplify -4 - 20 to -24
-24 = 8x
Step 6. Divide both sides by 8
-24/8 = x
Step 7. Simplify 24/8 to 3
-3 = x
Step 8. Switch sides
x = -3
sin10° + tan40° × cos10° = ?
how to solve this??
Final answer:
To find the value of sin10° + tan40° × cos10°, calculate each trigonometric function separately, multiply tan40° by cos10°, then add sin10° to the product. The approximate result is 1.0005, but use a calculator for a precise value.
Explanation:
To solve the expression sin10° + tan40° × cos10°, we first need to calculate the individual trigonometric values. The cosine of 10 degrees (cos(10°)) is approximately 0.9848.
Next, we calculate the tangent of 40 degrees (tan(40°)). According to the provided data, tan(40°) is approximately 0.839.
Using the trigonometric identity for the sine of a sum of angles, we cannot directly simplify the expression because the addition and multiplication involve different angles. Therefore, we perform the multiplication first:
tan40° × cos10° = 0.839 × 0.9848 ≈ 0.8265
Next, we add the value of sine of 10 degrees (sin10°) to this result. Given that sin10° is approximately 0.174:
sin10° + (tan40° × cos10°) = 0.174 + 0.8265 ≈ 1.0005.
However, due to possible rounding in intermediate steps, the actual value might be slightly different when calculated using more precise values or a calculator set to the correct mode.
Bess practices trumpet 1/2 hr on Monday and 1 3/5 hr on Wednesday. How many hours does Bess practice trumpet? PLEASE ANSWER QUICKK
2 and 1/10 of an hour
In other words, it is 2 hours and 6 minutes
Add 1/2 and 1 and 3/5 together to get 21/10
5x+7 greather than or equal to
2(x-3)+4
5x+7 is greater because 2(x-3)+4 =2x-2
If two large single-topping pizzas cost $25.00, how much will 9 pizzas cost?
Answer:
$112.50
Step-by-step explanation:
You take 25 + 25 +25 +25 = 100
that equals 8 pizzas
half of 25 is 12.5
so for one pizza it is $12.50
100 + 12.5 = 112.50
A city library has 811 nonfition books they want to divided the books on a shelf by 79 each
Answer:
811÷77= 10.265....
Step-by-step explanation:
Would the same methods work if both the numbers were positive? What if one of the numbers were positive and the other negative?
HELP ME PLEASE ASAP!!
Anyone I need some help ?
Please help! Polygon ABCDE rotates 45° clockwise about point F to form polygon FGHIJ, shown in the figure. Find the measure of each angle of polygon ABCDE.
Polygon FGHIJ is the result of the rotation of ABCDE.
A = F ⇒ 117°
B = G ⇒ 90°
C = H ⇒ 127°
D = I ⇒ 90°
E = J ⇒ 117°
The measure of angle BCD remains the same because the rotation involves the whole polygon. Thus, it is still 127°
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Answer:
m∠ABC = 117 °
m∠BCD = 90 °
m∠DEA = 90°
m∠CDE = 127°
Step-by-step explanation:
Since this is a series of rigind transformations, the angles of the figure do not change, so:
A=F= 117°
B=G=117°
C=H=90°
D=I=127
E=J=90°
A motorboat traveling a distance of 120 miles in 2 hours while traveling with the current. Against the current, the same trip took 3 hours. Find the rate of the boat in calm water and the rate of the current. Rate of boat in mph and rate of current in mph
1. The rate of the boat in calm water is 50 miles per hour.
2. The rate of the current is 10 miles per hour.
How the rates are determined:
Let:
[tex]r_b[/tex] be the rate of the boat in calm water (in miles per hour).
[tex]r_c[/tex] be the rate of the current (in miles per hour).
Given:
With the current:
Distance: 120 miles
Time: 2 hours
Speed: [tex]r_b + r_c[/tex] (since the current aids the boat)
So, the equation is:
[tex]r_b + r_c = \frac{120}{2}[/tex] = 60 (Equation 1)
Against the current:
Distance: 120 miles
Time: 3 hours
Speed: [tex]r_b - r_c[/tex] (since the current opposes the boat)
So, the equation is:
[tex]r_b - r_c = \frac{120}{3}[/tex] = 40 (Equation 2)
Step 1: Solve the System of Equations
We have the system:
[tex]r_b + r_c = 60[/tex] (Equation 1)
[tex]r_b - r_c = 40[/tex] (Equation 2)
Step 2: Add the Two Equations
Adding Equation 1 and Equation 2:
[tex]r_b + r_c + r_b - r_c[/tex] = 60 +40
[tex]2r_b[/tex] = 100
[tex]r_b = 50[/tex] (Rate of the boat in calm water)
Step 3: Substitute [tex]r_b[/tex] into one of the Equations
Substitute [tex]r_b[/tex] =50 into Equation 1:
50+[tex]r_c[/tex] = 60
[tex]r_c[/tex] = 10 (Rate of the current)
What is 8,01.47 in word form?
Eight thousand one and forty seven hundredths.
Hope this helps! :)
Write the equation in standard form: 3x-1=2y?
A.3x+2y=1
B.3x-2y=1
C. 3x+2y=-1
D. 3x-2y=-1
Standard form: Ax + By = C
So 3x - 1 = 2y
3x - 2y = 1
Answer
B. 3x - 2y = 1
The standard form of the equation is 3x-2y=1, the correct option is B.
What is the standard form of the linear equation?
Linear equations are the equations of degree 1. It is the equation for the straight line.
The standard form of linear equation is;
[tex]\rm ax+by=c[/tex]
Given
The linear equation is;
3x - 1 = 2y
The equation can be expressed in the standard form
[tex]\rm 3x - 1 = 2y\\\\ 3x -1 -2y=0\\\\3x-2y=0+1\\\\3x-2y=1[/tex]
Hence, the standard form of the equation is 3x-2y=1.
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Problem It takes 48 minutes for 7 people to paint 7walls. How many minutes does it take 20 people to paint 20 walls?
2(3 – 4a) + 5(a – 7) what are the steps to solve this? please.
2(3 – 4a) + 5(a – 7)
Distribute 2 and 5 inside the parenthesis
Step 1: 2*3 - 2*4a + 5*a - 5*7
When we multiply it we will get
Step 2: 6 - 8a + 5a -35
Now we combine like terms. The terms that as same variables are like terms
-8a + 5a is -3a
6 - 35 is -29
6 - 8a + 5a -35
Step 3: -3a -29
Final answer is -3a-29
Write the 15.97 as a mixed fraction.
15.97 as amixed fraction would be 15 97/100
Hope helps! -Aparri
The decimal number 15.97 as a mixed fraction is [tex]15\frac{97}{100}[/tex].
To write 15.97 as a mixed fraction, we need to express it as a whole number combined with a fraction.
The whole number part can be obtained by taking the integer part of 15.97, which is 15.
To determine the fraction part, we need to consider the decimal portion. Since 15.97 has two decimal places.
we can express it as a fraction with a denominator of 100 (since there are two decimal places).
The decimal portion, 0.97, can be written as 97/100.
Putting it together, 15.97 can be expressed as the mixed fraction:
15 + 97/100
Therefore, 15.97 as a mixed fraction is [tex]15\frac{97}{100}[/tex].
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use the formula to help you answer the question below. do not include units in your answer.
What is 1/4 - [-3/8] =
1/4 - [-3/8]
[tex]\frac{1}{4}- (-\frac{3}{8})[/tex]
Negative times negative become positive
[tex]\frac{1}{4} + \frac{3}{8}[/tex]
Now to add fractions we make the denominator same
4 and 8 are in the denominator
Least common denominator of 4 and 8 is 8
To make denominators same , we multiply the numerator and denominator of first fraction by 2.
[tex]\frac{1*2}{4*2} + \frac{3}{8}[/tex]
[tex]\frac{2}{8} + \frac{3}{8}[/tex]
The denominators are same so we combine the numerators
[tex]\frac{2+3}{8}[/tex]
[tex]\frac{5}{8}[/tex]
Can someone help me with this questions please?
Since supplementary angles equal 180. (2x+15) = 45, which can be found by subtracting 135 from 180. This means that x = 15. And since angle 1 corresponds to the previous angle, we can deduce that angle 1 = 45.
2. x = 15 deg; Δ=45 deg
an item that was selling for $72.00 is reproduced to $60.00. find the precent decrease in price.
( [72-60] / 72 )*100 = 50 / 3 = 16.7 %
3 hours 20 minutes - 1 hour 48 minuets
A. 2.12
B. 2.52
C. 1.32
D. 1.53