Answer:
[tex]-\frac{77}{3}[/tex]
Step-by-step explanation:
So we have the equation: [tex]3\frac{1}{2} + (-7) * (2\frac{2}{3} + 1\frac{1}{2})[/tex]. and I'm assuming you meant to do mixed fractions and not actually multiplying. 2 * 2/3. So the first thing to do is follow PEMDAS which essentially says Parenthesis first, Exponents next, Multiplication or Division, and then Addition or Subtract. So let's start by evaluating the 2 2/3 and 1 1/2. The first step is to combine 2 into the 2/3 and the 1 into 1/2. This is done by multiplying the 2 by the denominator of 3, and adding it to the numerator so: [tex]2\frac{2}{3} = > \frac{(2*3)+2}{3} = > \frac{8}{3}[/tex]. And you do this for the 1/2 as well: [tex]1\frac{1}{2} = > \frac{(2*1)+1}{2}= > \frac{3}{2}[/tex].
Now when adding fractions, you can only add them when they have the same denominator, so we have the get 3/2 and 8/3 to have the same denominator. You can list the multiplies of 2 and 3 to try to find a LCM, but in this case, I'll just multiply 2 and 3, since they're really small numbers, also because 6 is the LCM. [tex]\frac{8}{3} * \frac{2}{2} = \frac{16}{6}[/tex]. And now do this to the 3/2 you get: [tex]\frac{3}{2} * \frac{3}{3} = \frac{9}{6}[/tex]. Now the inside of the parenthesis is: [tex]\frac{9}{6} + \frac{16}{6} = \frac{25}{6}[/tex]. So now we have the equation: [tex]3\frac{1}{2} -7 * \frac{25}{6}[/tex] . Also notice how I got ride of the plus sign and made it negative? Think of it as having a 1 in front and simply distributing that to the -7, 1*(-7) becomes -7.
Now to multiply the fraction by a whole number you simply multiply the denominator and numerator, and you can think of the denominator of a whole number as a 1. So this gives you: [tex]\frac{-7}{1} * \frac{25}{6} = \frac{-7 * 25}{1 * 6} = -\frac{175}{6}[/tex]. Now we have the equation: [tex]3\frac{1}{2} - \frac{175}{6}[/tex]. And to subtract these two numbers I'll make the 3 1/2 a fraction by multiplying the 3 by the denominator and adding it to the 1 which should become 7/2. And after that multiply both sides by 3/3 to get 21/6 so they have the same denominator. This gives you the equation: [tex]\frac{21}{6} - \frac{175}{6} = \frac{21-175}{6} = -\frac{154}{6}[/tex]. Which can simplify by dividing both sides by 2 to get: [tex]-\frac{77}{3}[/tex]
I REALLY NEED HELP: Greg uses an overhead projector to enlarge a rectangular drawing to a width of 300mm. The original drawing is 60 mm wide by 80mm high. What is the height of the projected image?
Answer:
height = 400mm high
Step-by-step explanation:
if 300/60=5
so 80x5=400.
Genesis and Skylar are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Genesis is 266 miles away from the stadium and Skylar is 332 miles away from the stadium. Genesis is driving along the highway at a speed of 42 miles per hour and Skylar is driving at speed of 53 miles per hour. Let GG represent Genesis' distance, in miles, away from the stadium t hours after noon. Let SS represent Skylar's distance, in miles, away from the stadium t hours after noon. Write an equation for each situation, in terms of t, and determine the number hours after noon, t,t, when Genesis and Skylar are the same distance from the stadium
G=266-42t and S=332-53t are equations to determine the number hours after noon t, when Genesis and Skylar are the same distance from the stadium
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Genesis is 266 miles away from the stadium.
Genesis is driving along the highway at a speed of 42 miles per hour.
Skylar is 332 miles away from the stadium.
Skylar is driving at speed of 53 miles per hour
Let G represent Genesis' distance, in miles, away from the stadium t hours after noon.
Let S represent Skylar's distance, in miles, away from the stadium t hours after noon.
We need to find an equation for each situation, in terms of t, and determine the number hours after noon t when Genesis and Skylar are the same distance from the stadium.
G=266-42t
S=332-53t
266-42t=332-53t
53t-42t=332-266
11t=66
Divide both sides by 11
t=6 hours
Hence, G=266-42t and S=332-53t are equations to determine the number hours after noon t, when Genesis and Skylar are the same distance from the stadium
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If "a" is a negative integer and "b" is a positive integer, which of the following statements must be true?
I. b + a > 0
II. [tex]\frac{b-a}{a}[/tex] < 0
III. a^b < 0
A) I only
B) II only
C) III only
D) I and II only
Answer:
B
Step-by-step explanation:
I. Falae. Consider a = -3 and b = 2.
II. True. b-a must be positive, and a is negative.
III. False. Over the reals, exponential functions are positive.
Which of the following is true of histograms? (CHECK ALL THAT APPLY .) AND EXPLAINE
(1) They show where data is concentrated.
(2) They show specific values.
(3) They are useful when there is a wide range of data.
(4) They are best used with large sets of data.
7.66. Buses from Dallas to Houston leave every hour on the hour. Buses from Houston to Dallas leave every hour on the half hour. The trip from one city to the other takes 5 hours. Assuming the buses travel on the same highway, how many Dallas-bound buses does a Houston-bound bus pass on the highway (not in the station)?
Answer:
Assuming the buses travel on the same highway, the number of Dallas-bound buses does a Houston-bound bus pass on the highway is 10 buses.
Step-by-step explanation:
Given:
Buses from Dallas to Houston leave every hour on the hour. Buses from Houston to Dallas leave every hour on the half-hour.
The trip from one city to the other takes 5 hours.
Find:
Assuming the buses travel on the same highway, the number of Dallas-bound buses does a Houston-bound bus pass on the highway (not in the station)
Step 1 of 1
We count the number of Dallas-bound buses that a single Houston-bound bus passes.
There are two groups of Dallas-bound buses that we have to consider.
First, there are the buses that were on the way to Dallas at the time the Houston-bound bus leaves Dallas.
Second, there are the buses that leave Houston after the Houston-bound bus starts but before it arrives at Houston.
In order for a bus to be on the way to Dallas when the Houston-bound bus leaves, it must have left Houston less than 5 hours before the Houston-bound bus leaves.
There is one such bus each hour, for a total of 5 buses.
In order for a Dallas-bound bus to leave Houston after the Houston-bound bus leaves but before the Houston-bound bus arrives, the Dallas-bound must leave Houston within 5 hours after the Houston-bound bus leaves.
Again, there is one such bus each hour, for a total of 5 more buses than the Houston-bound bus passes.
Therefore, the Houston-bound bus passes 5+5=10 Dallas-bound buses.
18. Ericka bought 5 palettes and 3 paint brushes for $22.40. She could have bought 14 palettes with the same amount of money. If she had bought 5 paint brushes and no palettes, how much more money would she have had to pay?
Step-by-step explanation:
since 14 palette can be bought for $22.40
then one pallet will be bought for $1.6
so 5 pallet = $8
the amount for 3 brushes = $22.40-$8 =$14.4
so the amount for one brush = 14.4/3=4.8
therefore the amount for 5 brushes =$24
therefore Ericka will extra ($24 -22.40)
=$1.6
I only need 1 more mark for this question but I don’t know what to write in order to get that mark. Can anyone help ?
Answer:
The difference between the lengths of two line segments AB and CD given in the following figure is
Step-by-step explanation:
Calculate the area and perimeter of the circle.
Answer:
Step-by-step explanation:
The area of a circle of radius r is A = (pi)r^2. In this case, r = 2 units, so the area is A = (22/7)(2 units)^2 = 88/7 units^2
The perimeter of a circle of radius r is P = C = circumference = 2(pi)r. In this case, r = 2 units, so the circumference/perimeter is
C = 2(3.14)(2 units) = 2(22/7)(2 units) = (22/7) units
The graph shows the relationship between the number of months different students practiced baseball and the number of games they won:
The title of the graph is Baseball Games. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Games Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 1 and 1, 3 and 2, 5 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 14 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 1.8 and 2, 5.6 and 4, 9.2 and 6, 13 and 8, 16.5 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent?
Answer:
Answer:
won: The title of the graph is Baseball Games. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Games Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 1 and 1, 3 and 2, 5 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 14 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 1.8 and 2, 5.6 and 4, 9.2 and 6, 13 and 8, 16.5 and 10, 20.5.
Step-by-step explanation:
Answer:
2nd one
Step-by-step explanation:
i think
A group of students were surveyed to find out if they like building snowmen or skiing as a winter activity. The results of the survey are shown below:
60 students like building snowmen
10 students like building snowmen but do not like skiing
80 students like skiing
50 students do not like building snowmen
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both building snowmen and skiing? Show your work. (5 points)
Part B: What is the probability that a student who does not like building snowmen also does not like skiing? Explain your answer.
Answer: in the picture
Step-by-step explanation:
Simplify the expression. (Section 3.1) 46. 4x + 3 - 9x
Answer:
37.4x+3
Step-by-step explanation:
46.4x-9x+3 : group like terms
=37.4x+3
Answer:
-5x + 3
Step-by-step explanation:
4x + 3 -9x
4x + (-9x) + 3
4x - 9x + 3
-5x + 3
send help 20 points added
Answer:
$6/$7
Step-by-step explanation:
150/175=
30/35=
6/7
Answer:
6/7 :)
Step-by-step explanation:
150/175 reduces to 6/7
Need HELP: Brittany works at a zoo and 31.25% of her 16 otters are sick. How many are sick?
Answer:
5
Explanation:
Answer:
5
Step-by-step explanation:
Percentage is always out of 100
Therefore 31.25% is out of 100%
31.25÷100=0.3125
Hence 0.3125×16(total number of otters)
=5
Please do let me know if you don't get it so that I can explain further.
IM NEED HELPP: This year the elementary school had 175% the number of students they had last year. Last year, there were 300 students. How many are there this year?
Answer:
525
Step-by-step explanation:
Multiply 300 by 1.75. You get 525
1 ACTIVITY: Estimating a Part
Work with a partner. Use a model to estimate the answer to each question.
b. What number is 75% of 30?
Answer: 22.5
Step-by-step explanation:
Multiply 3/4 by 30 to get the answer.
NO EXPLAINATIION HELP FAST PLEASEEE
(07.05A)
Which of the following has a graph that is a straight line?
Equation 1: y = 2x + 7
Equation 2: y2 = x − 1
Equation 3: y = 2x2 + 4
Equation 4: y = 3x3
HELP FAST NO EXPLAINATION NEEDED
I NEED A ANSWER FAST : The number of calories Brant consumes per day increased by 30% when he went to college. He was averaging 1,800 calories a day before he left. ABOUT how many calories a day is he consuming at college?
Answer:
2340
Step-by-step explanation:
Based on the given conditions, formulate 1800(1+0.3)
Calculate the sum or difference: 1800x1.3
Calculate the product or quotient: 2340
Answer: 2340
Hope this helps!
The number of calories Brant consumes per day increased by 30% when he went to college. Brant is consuming about 2,340 calories per day at college.
To calculate the number of calories Brant is consuming at college, we need to find 30% of his previous calorie intake and then add it to his initial daily consumption.
Calculate the 30% increase:
30% of 1,800 calories = 0.30 * 1,800 calories = 540 calories
Add the increase to his initial calorie intake:
Calories at college = Initial calories + Increase
Calories at college = 1,800 calories + 540 calories = 2,340 calories
Therefore, Brant is consuming about 2,340 calories per day at college.
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Santiago receives $133 per year in simple interest from three investments. Part is invested at 2%, part at 3%, and part at 4%. There is $500 more invested at 3% than at 2%. The amount invested at 4% is two times the amount invested at 3%. Find the amount invested at each rate. the amount invests at 2% is how much $?
Circle the correct option: A, B, C, or D.
4. Which of the following is greater than 0.5 yd?
A 16.5 in
B 1.25 ft
C 22.5 in
D 1.5 ft
Answer:
D. 1.5 ft
Step-by-step explanation:
tama yan, tiwala lang
7. Find the sum of 67 tenths and 35 hundredths. Give your answer as a decimal.
Step-by-step explanation:
since the tenth for the 67 is 6
and the hundredth for 35 is 5
then the sum
6/10+5/100
0.6+0.05
= 0.65
Answer:
7.05
Step-by-step explanation:
67 tenths is 6.7
35 hundredths is 0.35
6.7 + 0.35 = 7.05
Which means the answer is 7.05.
1. List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
7 ¾ inches by 12 ¼ inches by 3 ¼ inches
2. Describe the shape of the cross-section when the box is cut parallel to the base.
The shape of the cross-section parallel to the base of the box is rectangle
How to determine the shape?The dimensions of the box is given as:
7 ¾ inches by 12 ¼ inches by 3 ¼ inches
The dimensions are not equal.
This means that the box is a rectangular prism
The cross-section of a rectangular prism is a rectangle
Hence, the shape of the cross-section parallel to the base of the box is rectangle
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Can someone answer this?
I’ll give Brainliest if you explain how you got the answer.
20 points?
Only questions C and D need to be answered
Explanation:
C. Perimeter of Trapezium
= sum of all sides
= 8 + 4 + 4 + 6
= 22
D. Area of Trapezium
= 1/2 × (a + b) × height
= 1/2 × (8 + 6) × √15
= 7√15
E. Perimeter of square
= 4(side)
= 4(5)
= 20
F. Area of square
= side × side
= 5 × 5
= 25
I. Answer
The area will be 4 times more than the current area of about 64 units².
side² = 16
side = √16
side = 4
If the side is doubled, new side = 4 × 2 = 8
New Area: 8² = 64 units²
2 ACTIVITY: Estimating a Whole
Work with a partner. Use a model to estimate the answer to each question.
d. 75 is 75% of what number?
Answer:
75 is 75% of 100
Step-by-step explanation:
Simple explanation: Basically 75% is equal to 3/4 so if we find out how much 1/4 of the whole number is we can multiply it by 4 to get the whole number. Since 75 is 3/4 of the whole number we divide it by 3 which gives us 25 so 25 is 1/4 of the whole number. Afterwards we multiply it by 4 to get the whole number since 4/4 is 1 which is a whole.
What is angle A equal?
Thanks :)
8.27 Any quarter has a face value of $0.25. An eccentric collector offers to buy state quarters for 600% of their face value. At that rate, how much will Larry receive for his collection of all 50 state quarters?
Answer:
$7.50
Step-by-step explanation:
First we find what is the value at which the eccentric collector offers to buy the quarters for. We know the value at which they will buy the quarter for is 600% of the face value - which is $0.25.
Now we do some math and find the value at which the person will buy the quarter for is $1.50.
Now we multiply the value by 50 since Larry would be giving 50 quarters.
$1.50*50 = 7.50
So, Larry will receive $7.50 for selling his 50 quarters to the eccentric collector.
Answer:
Larry will get $1.50.
Step-by-step explanation:
Given:
Any quarter has a face value of $0.25. An eccentric collector offers to buy state quarters for 600% of their face value.To find:
How much will Larry receive for his collection of all 50 state quarters.The formula used to calculate percentage is: (value/total value)×100%.
Step 1 of 1
An eccentric collector offers to buy state quarters for 600% of their face value which means [tex]$6 \times 100 \%$[/tex]. Therefore, 600% of a number is the same as 6 times that number.
50 state quarters is 0.25 dollars .
Larry will get [tex]$6 \times 0.25=1.50$[/tex] dollars.
What is the selling price?
Selling price: $22 and Loss: 12%
Answer:
25
Step-by-step explanation:
12%=0.12
1-0.12=0.88
22 is 0.88 of the original price
22=x*0.88
22/0.88=x
25=x
x=25
400 ducks consume a reservoir of feed in 30 days, how long will it take 500 ducks
Answer:
24 days.
Step-by-step explanation:
First lets look at the facts.
400 ducks can eat a bunch of feed in 30 days.
That means that 200 ducks would take 60 days.
100 ducks would take 120 days.
Now, we must multiply 100 by 5 to get 500, the target amount of ducks, and divide 120 by 5 to get 24. So, 500 ducks can eat a reservoir of feed in 24 days.
Answer:
24 days
Step-by-step explanation:
It is an inverse proportion, the more ducks the less days the food lasts
400 ----- 30
500 ----- X
[tex]x=\frac{(400)(30)}{500} =\frac{12000}{500} =24[/tex]
Hope this helps
Order the steps to solve -3x + 2.4 = 19.2
- Simplify to x = -5.6
- Subtract 2.4 from both sides
- Simplify to -3x = 16.8
- Divide both side by -3
Circle the correct option: A, B, C, or D.
2. One dozen sacks of rice weigh 99.25 lb. What is the weight of one sack of rice, correct to 1 decimal place?
A 8.27
B 8.7
C 9.9
D 8.3
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!
Hello !
[tex]\widehat{LMO} +\widehat{MON} + 5x = 360°[/tex]
[tex]90 °+ x + 5x = 360°[/tex]
[tex]90° + 6x = 360°[/tex]
[tex]6x = 360 ° - 90°[/tex]
[tex]6x = 270°[/tex]
[tex]x = \frac{270}{6} °[/tex]
[tex]x = 45°[/tex]