Answer:
24 blue cars
Step-by-step explanation:
In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;
[tex]\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}[/tex]
Cross products,
[tex]5x = 120[/tex]
Inverse operations,
[tex]x = 24[/tex]
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step 27.27 4+2
Answer:
33.27
Step-by-step explanation:
27.27 + (4 + 2)
You always perform the parenthesis first.
27.27 + 6
Then you add 6.
33.27
The article " Inconsistent Health Perceptions for US Women and Men with Diabetes" presents results of a survey of adults with diabetes. The average body mass index (BMI) in a sample of 1559 men was 30.4, with a standard deviation of 0.6. The average BMI in a sample of 1924 women was 31.1 with a standard deviation of 0.2. Find a 99% confidence interval for the difference between the mean weights.
Answer:
The 99% confidence level (-0.741, -0.659).
Step-by-step explanation:
The average body mass index (BMI) in a sample of 1559 men was 30.4, with a standard deviation of 0.6.
The average BMI in a sample of 1924 women was 31.1 with a standard deviation of 0.2.
Find a 99% confidence interval for the difference between the mean weights..
The formula for 99% Confidence Interval for difference between the mean weights =
μ is the population mean, and σ is the population standard deviation.
μ1 - μ2 ± z × √σ²1/n1 + σ²2/n2
The z score for 99% confidence interval = 2.576
30.4 - 31.1 ± 2.576 × √0.6²/1559 + 0.2²/1924
-0.7 ± 2.576 × √0.36/1559 + 0.04/1924
-0.7 ± 2.576 × √0.0002309173 + 0.00002079
-0.7 ± 2.576 ×√0.0002517073
-0.7 ± 2.576 × 0.015865286
-0.7 ± 0.04086897674
Hence, the 99% Confidence Interval is
-0.7 - 0.04086897674
= -0.74086897674
≈ -0.741
-0.7 + 0.04086897674
=-0.65913102326
≈ -0.659
Therefore, the 99% confidence level (-0.741, -0.659).
How many ways can you arrange the letters in the word MARBLE if the letters B and L have to
stay together?
Answer:
I thought of 10
Step-by-step explanation:
Ambler, blamer, ramble, amble, blame, abler, blare, blear, blam, blae
Helga buys a $64,987 car from a car dealership. The charge for freight is $2300. The car has an air conditioner and Helga will be getting a new licence plate, vehicle permit, and a licence plate registration sticker. What is the total cost of the purchase of the car?
The total cost of the car purchase, including the base price, freight charge, air conditioner cost, and license-related fees, is $68,937.
To calculate the total cost of the car purchase, we need to consider the base price of the car, the charge for freight, and the additional costs for the air conditioner and license-related fees.
Given:
Base price of the car: $64,987
Freight charge: $2,300
Additional costs:
Air conditioner cost: Let's assume it's $500 (not explicitly mentioned in the given information)
License-related fees: Let's assume it's $150 (not explicitly mentioned in the given information)
To calculate the total cost, we add up all the costs involved:
Total cost = Base price + Freight charge + Air conditioner cost + License-related fees
Total cost = $64,987 + $2,300 + $500 + $150
Total cost = $68,937
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A box is being packed with cubes that measure 1 cubic foot. What is the volume of the box in cubic feet
Answer:
81 cubic foot
Step-by-step explanation:
It is given that the box is packed with cubes whose side is 1 foot. So the volume of one cube is 1 cubic foot.
Now from the figure, we can see that :
Number of cubes fitting the box across its length = 9 cubes
Number of cubes fitting the box across its width = 3 cubes
Number of cubes fitting the box across its height = 3 cubes
And each of these cubes measures 1 x 1 x 1 cubic foot
So the volume of the box can be found out by:
Volume = length x width x height
= 9 x 3 x 3
= 81 cubic foot
Therefore volume of the box is 81 cubic foot.
Estimate 2.21x5.1 i guess need help please I don’t want to fell this class
Answer:
10
Step-by-step explanation:
Im guessing since you have to estimate it then u have to round them up. So if you move both of their points by 2 spaces (divide both by 100) They will be 221x510.
Round them up to 200x500.
That woule be 100 000. Then at the end just dont forget to divide by 10000.
Hope this was helpful
A y = 3x + 2
C y=-3x + 2
B y = 3x + 2
D y = - 3 x + 1/2
for a minute i thought it was c. y = -3x + 2.
7 cameras cost $308. The cost of each camera is the same. What is the cost of each camera?
Answer:
$44
Step-by-step explanation:
Hello!
It said that 7 cameras cost $308, right?
If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:
7x = 308.
If 7x = 308, it would be
308/7 =
44.
So, $44 is the answer.
In the figure above, if l ll m and r ll s, what is the value of x?
A) 65
B) 80
C) 85
D) 95
E) 115
Check the photo and please show the steps
Answer:
C x= 85°
Step-by-step explanation:
x+ 60° + 35° =180°
x= 180° - 60° - 35°
x= 85°
solve for the missing side and round to the nearest tenths place
Answer:
A. 22.5
Step-by-step explanation:
Apply Trigonometric function.
Reference angle = 64°
Opposite side to 64° = x
Hypotenuse = 25
Apply SOH:
Sin 64 = Opp/Hyp
Sin 64 = x/25
25 × Sin 64 = x
22.4698512 = x
x = 22.5 (nearest tenth)
What percentage of the data is between 4 and 9?
A: 25
B: 50
C: 75
D: 100
Answer:
its 25% meaning A is the answer
Step-by-step explanation:
Which of the following is equal to 5 1/3
Answer:
C
Step-by-step explanation:
The 3 would go on the outside.
please help me fast thanks
Answer:
1.86/2 = 0.93/2 = 0.465/2 = 0.2325
Step-by-step explanation:
Jimmy is writing a paper for one of his classes. The paper has to be 2,000 words long, and so far he has written 432 words. If
he only has 4 more days to write his paper and wants to write the same number of words each day, then how many words
must he write per day to finish the paper?
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer: (4,-11)
Step-by-step explanation: To perform a 180 degree rotation we switch the signs of the coordinates
Answer:
4,-11
Step-by-step explanation:
The answer is 4,-11 because if you think that you go over -4 and go up 11. Now switch the negative sign to the y coordinate because it is a 180 degree turn then you have your answer. 4,-11
pls mark as brainliest!!
You can complete one-sixth of a task in an hour. Your friend can complete one-sixth of the same task in an hour. How long will it take to complete the task if you work together?
Answer:
3 hours
Step-by-step explanation:
there's 6 parts and it takes them both an hour for each part so alone they would take 6 hours but divide that by 2 and it's 3 hours
Answer: I would say 3 hours if you worked seperatly from each other to complete one task
Step-by-step explanation:
What is the volume of a rectangular crystal with a length (1) of 2.2 cm, a width (w) of 2 cm, and a height
(h) of 1.8 cm?
Answer:
7.92 cm^3
Step-by-step explanation:
To find volume all you have to do is multiply the length, width, and height. The answer would be: l * w * h = 2.2 * 2 * 1.8 = 7.92 cm^3.
PLEASE HELP ME!!!! PLEASE HELP QUICK ILL GIVE U 73 POINTS PLS HELP
Answer:
3
Step-by-step explanation:
In this problem we need to kind of write the picture into an equation so the first thing we see are 4 xs on the far left-hand side this is representing "4x" then we see 5 - blocks on the right which represents "-5" because we have 5 minuses then on the other side we see 7 + blocks which represent just "7". After we identify everything in the picture we can write an equation so 4x -5 = 7. Then we solve so we need to separate x on one side and all the other numbers to the other to do that we can move the -5 to the side the 7 is on and because of math when we move a number to another side of the equation we have to switch the sign it has so if it was -5 then on the other side it would be 5 then we add 7 to 5 which would equal 12. Then we are left with 4x = 12 and to keep x on its own side we need to divide 4 from the other side because it is multiplying on the x side and again we need to switch the sign. then we are left with x=3. Hope this helps!
I just need help finding out the missing sides
Angle ACB and angle ECD are
angles.
vertical
complementary
supplementary
none of the above
Answer:
vertical
Step-by-step explanation:
When two lines intersect, 4 angles are formed. Two non-adjacent angles are called vertical angles.
Answer: vertical
Answer:
Vertical
Step-by-step explanation:
Just did the lesson and checked the answer key :D
13. Justify Conclusions Determine whether each statement is sometimes,
always, or never true. Justify your answer.
Answer
A. It is possible for a triangle to have two right angles?
B it is possible for a triangle to have two right angles.
Answer:
False. It is not possible for a triangle to have two right angles.
Step-by-step explanation:
Every triangle has 3 sides and, therefore, 3 angles (hence its name "tri" (three) "angle" (angles). Always, the sum of the three angles of a triangle will have a value of 180º. Therefore If two of the angles of a triangle were right, that is, they measured 90º, the third angle would be 0º, that is, it would be non-existent.Therefore, it is impossible for two angles of a triangle to be right angles.
write an equation for the function graphed below
The rational function graphed in this problem is defined as follows:
f(x) = -3(x - 2)/(x² - x - 6).
How to define the rational function?The vertical asymptotes of the rational function in this problem are given as follows:
x = -2 and x = 3.
Hence the denominator of the rational function is given as follows:
(x + 2)(x - 3) = x² - x - 6.
The zero of the rational function is given as follows:
x = 2.
Hence the numerator is given as follows:
a(x - 2).
In which a is the leading coefficient.
Hence:
f(x) = a(x - 2)/(x² - x - 6).
When x = 0, y = -1, hence the leading coefficient a is obtained as follows:
-1 = -2a/-6
-1 = a/3
a = -3.
Hence the function is:
f(x) = -3(x - 2)/(x² - x - 6).
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Solve for the area of the triangle in each of the following problems.
Answer:
area of triangle = 1/2×base×height
area of triangle =1/2×15m×16m
area of triangle =120m²
The human body is made up of about 9.3% hydrogen. What is the amount of hydrogen contained in a person who weighs 140 pounds? Round you answer to the hundredths place
Answer:
We know that for a human body 9.3% of its total mass is hydrogen.
Now we have a person with a mass of 140 lb.
Then we have that the 100% of the mass is 140lb, the 9.3% of this is hydrogen.
We can write:
9.3% = X
100% = 140lb
We want to find the value of X (mass of hydrogen)
Then we can take the quotient of these two equations to get:
(9.3%/100%) = X/140lb
Now we can isolate the variable X to get:
(9.3%/100%)*140lb = X = 13.02 lb
So this person has about 13.02 lb of hydrogen in his/hers body.
What is the volume of the figure?
PLS HELP !!!
Fiona spent 50 minutes to complete her homework. She spent 30 minutes on her
math assignment and 20 minutes on her science assignment. What fraction of time
did Fiona spend on her math assignment??
Answer:
3/5 of her time
Step-by-step explanation:
She spent 30 minutes out of 50 minutes on her math assignment. So, we can write this fraction:
30 minutes / 50 minutes
Divide both the numerator (top of the fraction) and denominator (bottom of the fraction) by 10 minutes to get
3 / 5
So, the answer is 3/5 of her time.
select 2 points fir each of the following equations: y=2x+9 -6x=4+2y
the two points for each equation are:
For y = 2x + 9:
Point 1: (0, 9)
Point 2: (3, 15)
For -6x = 4 + 2y:
Point 1: (0, -2)
Point 2: (2, -8)
How to find the two points of the equationsTo find two points for each of the given equations, we can arbitrarily choose values for x and then calculate the corresponding y values.
For the equation y = 2x + 9:
Let's choose x = 0:
y = 2(0) + 9
y = 9
So, one point is (0, 9).
Let's choose x = 3:
y = 2(3) + 9
y = 6 + 9
y = 15
Another point is (3, 15).
For the equation -6x = 4 + 2y:
Let's choose x = 0:
-6(0) = 4 + 2y
0 = 4 + 2y
-4 = 2y
y = -2
One point is (0, -2).
Let's choose x = 2:
-6(2) = 4 + 2y
-12 = 4 + 2y
-16 = 2y
y = -8
Another point is (2, -8).
Therefore, the two points for each equation are:
For y = 2x + 9:
Point 1: (0, 9)
Point 2: (3, 15)
For -6x = 4 + 2y:
Point 1: (0, -2)
Point 2: (2, -8)
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The list shows the number of pages in various novels: 286,295,307,241,396,368 what is the range
Answer:
155
Step-by-step explanation:
You must first subtract the lowest number (241) from the highest number (396) Then you get 155! I hope this helps!
If a 12-sided fair die is rolled twice, find the probability that both rolls have a result of 8.
Answer:
1 in 144
Step-by-step explanation:
There is one 8 on a 12-sided die, so the probability of rolling an 8 once is [tex]\frac{1}{12}[/tex].
We are rolling twice, so [tex](\frac{1}{12})^{2} =\frac{1}{144}[/tex].
a number line is divided into 8 equal parts to show eighths. A point is labeled 1/2. Name the equivalent fraction for the labeled point.
Answer:
4/8.
Step-by-step explanation:
4/8 is the correct answer for this question. This is why. If you take 8 and divide it in half, your answer will be 4. Also because fractions are division so the fraction 8/2 equals 4. This means the 1/2 mark is equal to 4.