Answer:
-6x-3
Step-by-step explanation:
distribute the 3 by multiplying it with the -2x and the -1
Which of the coordinate pairs below are separated by a vertical distance of greater than 5 units? Select all that apply.
A)(-1, −52) and (-1, −32)
B) (1.8, -3.4) and (1.8, 2.2)
C) (-3.5, -4.2) and (-3.5, 1.3)
D) (4, 5) and (4, 1)
Answer: A
Step-by-step explanation:
A. yes because -52 and -32 are separated by a distance of 20 units
B. no because -3.4 and 2.2 are not separated by more than 5 units
C. no because -4.2 and 1.3 are not separated by more than 5 units
D. no becasue 5 and 1 are not separated by more than 5 units
Answer:
A, B, C
Step-by-step explanation:
A coordinate is written as (x, y) where:
x is the horizontal distance of the point from the origin.y is the vertical distance of the point from the origin.For a pair of coordinates to be separated by a vertical distance of greater than 5 units, the difference in their y-values should be greater than 5. To find the difference between two values, subtract the smaller value from the larger value.
A. (-1, -52) and (-1, -32)
Difference in y-values: (-32) - (-52) = 20
B. (1.8, -3.4) and (1.8, 2.2)
Difference in y-values: (2.2) - (-3.4) = 5.6
C. (-3.5, -4.2) and (-3.5, 1.3)
Difference in y-values: (1.3) - (-4.2) = 5.5
D. (4, 5) and (4, 1)
Difference in y-values: 5 - 1 = 4
Therefore, coordinate pairs A, B and C are all separated by a vertical distance of greater than 5 units.
PLEASE ANSWER ASAP: Miriam bought 64 pounds of popcorn she kept 1/4 for her family then gave 1/8 of the remainder to her club and distributed the rest equally among 8 friends. How many ounces did each friend get?
Answer:
84 ounces
Step-by-step explanation:
Total pounds of popcorn bought = 64 pounds
1/4th kept for family ==> 1/4 * 64 = 16 lbs
Remainder = 64-16 = 48 lbs
1/8th of remainder to club ==> 1/8 * 48 = 6 lbs to club
Remainder left over = 48-6 = 42 lbs
Distributed 42 lbs between each of 8 friends equally
Each friend gets 42/8 lbs = (42/8) * 16 = 84 ounces
Since there are 16 ounces in a pound
From the given information each friend receives 84 ounces of popcorn.
Let's solve the problem using thee concept of Fractions
1. Miriam bought 64 pounds of popcorn.
2. She kept 1/4 of the popcorn for her family. So, the amount of popcorn left after this step is [tex]\(64 \times \frac{3}{4}\)[/tex].
Now, let's calculate the popcorn remaining after Miriam keeps some for her family:
[tex]\(64 \times \frac{3}{4} = 48\)[/tex] pounds.
Next, Miriam gave 1/8 of the remaining popcorn to her club, leaving her with [tex]\(48 \times \frac{7}{8}\)[/tex] pounds.
Now, let's calculate the popcorn remaining after Miriam gives some to her club:
[tex]\(48 \times \frac{7}{8} = 42\)[/tex] pounds.
Finally, she distributed the rest equally among 8 friends. To find out how much each friend gets, we'll divide the total popcorn left by the number of friends:
Amount each friend gets =[tex]\(\frac{42}{8}\)[/tex] pounds.
The problem asks for the answer in ounces, not pounds.
To convert pounds to ounces, we know that 1 pound is equal to 16 ounces. So, to get the amount of popcorn each friend gets in ounces, we'll multiply the previous answer by 16:
Amount each friend gets = [tex]\(\frac{42}{8} \times 16\)[/tex] ounces.
Amount each friend gets = [tex]\(84\)[/tex] ounces.
So, each friend will get 84 ounces of popcorn.
In summary, Miriam's 64 pounds of popcorn were reduced to 42 pounds after sharing with her family and club. Finally, the remaining popcorn was divided equally among her 8 friends, with each friend receiving 84 ounces.
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7.6.3. A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo. For every 12 -foot leap of the kangaroo, the rabbit makes a 7 -foot leap. How many leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time?
Answer:
The number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time is 30 times.
Step-by-step explanation:
Given:
A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.
For every 12 -foot leap of the kangaroo, the rabbit makes a 7 -foot leap.
Find:
the number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time
Step 1 of 1
The kangaroo gains 5 feet on every leap.
The kangaroo must gain 150 feet total,
so it must jump [tex]\frac{150}{5}=30$[/tex] times to catch the rabbit.
Kangaroo needs 30 leaps to make to catch up to the rabbit if the two animals always leap at the same time.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.
For every 12 -foot leap of the kangaroo,
the rabbit makes a 7 -foot leap.
Let n be the number of leaps.
According to the question:
We have the equation.
To solve for x;
12x = 7x + 150
12x - 7x = 150
5x = 150
x = 150/5
x = 30
Therefore, the Kangaroo needs 30 leaps to catch the rabbit.
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Write each ratio as a fraction in lowest terms:
Q1 - 24.8 to 13.4
Q2 - 1.5 to 4.5
Answer:
124/67 and 1/3
Step-by-step explanation:
The second ratio is 1.5/4.5, which readily reduces to 1/3.
Dividing both numerator and denominator of 24.8 / 13.4 by 2 yields the simpler 12.4 / 6.7 or 124/67. This latter result cannot be reduced.
Write A story that could represent This problem 2/6 x 3/4
Answer:
Bob at the store
Step-by-step explanation:
Bob is at a store and wants to buy a banana, last time he checked it costed 2/6 of a dollar. Now it costs 3/4 times more.
find the solution B=√2+√3-√2-√3
Answer:
[tex]B=\sqrt{2}[/tex]
Step-by-step explanation:
Original equation:
[tex]B = \sqrt{2+\sqrt{3}} - \sqrt{2 - \sqrt{3}}\\[/tex]
Square both sides:
[tex]B^2=(\sqrt{2+\sqrt{3}})^2 + 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}}) + (-\sqrt{2-\sqrt{3}})^2[/tex]
Cancel out the square roots and squares:
[tex]B^2=2+\sqrt{3}}+ 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}}) + 2-\sqrt{3}[/tex]
Add the sqrt(3) and -sqrt(3) as well as 2 and 2
[tex]B^2=4 + 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}})[/tex]
Use the identity: [tex]\sqrt{a} * \sqrt{b} = \sqrt{a * b}[/tex] to rewrite the two square roots being multiplied:
[tex]B^2=4 + 2(-\sqrt{(2+\sqrt{3}) * (2 - \sqrt{3}}))[/tex]
Use difference of squares: [tex](a-b)(a+b) = a^2-b^2[/tex]
[tex]B^2=4 + 2(-\sqrt{2^2-\sqrt{3}^2})[/tex]
Square both sides
[tex]B^2=4 + 2(-\sqrt{4-3})[/tex]
Subtract:
[tex]B^2=4 + 2(-\sqrt{1})[/tex]
Evaluate square root of 1:
[tex]B^2=4 + 2(-1)[/tex]
Multiply
[tex]B^2=4 -2[/tex]
Subtract
[tex]B^2=2[/tex]
Take square root of both sides:
[tex]B=\sqrt{2}[/tex]
One of the angles in a right triangle is 20°. A median, an angle bisector, and a height are all drawn from the right angle.
a)Find the angle measure between the median and angle bisector.
b)Find the angle measure between the angle bisector and the height.
Answer: I would say A
Step-by-step explanation: The reason I say A is because One to find the angle you have to add( Okay I'm in 8th grade and My brain is slow so please don't judge) but maybe try adding and doing division? I'm not sure
*Decimal word problems really easy*
1. You need to take 3 grams of pain medication. You've already taken 0.75 grams of pain medication from a multi-purpose formula. How much more medication do you need?
2. Alicia paid 5.75 for a bag of pinto beans. The beans cost $.55 per lb. How much did the bag of pinto beans weigh?
3. A cake needs 15.284 grams of flour. You already have 1/8 of it. How much more flour do you need?
4. Keith is making a spice rack for his mom in woodworking class. He starts with a board that is 31.25 inches long. Then he cuts it into 5 equal pieces for the shelves. How long will each shelf be?
5. Greg's scout troop is organizing a pancake breakfast to raise money for their next camping trip. They are expecting a large crowd, so Greg buys 4 gallons of maple syrup. If the maple syrup costs 35.75 per 2 gallons, how much does he spend?
Answer:
For the first problem, it would be 2.25 grams.
For the second problem, it would be 10.45 pounds.
For the third problem, it would be 13.3735 more grams of flour
For the fourth problem it would be 6.25 inches long.
Step-by-step explanation:
1st problem:
3 - 0.75 = 2.25
2nd problem:
5.75 / .55 = 10.45454545 (so if we simplified it, then it would be 10.45)
3rd problem:
15.285 * 7/8 = 13.3735
4th problem:
31.25 / 5 = 6.25
I see that someone has already answered 1-4 so i will answer 5
so for 2 gallons it is 35.75 so to find out the amount for 4 gallons you would add 35.75+35.75 to get your answer of 71.5
hope this helped :>
8.42 Three bags of jelly beans contain 26,28 , and 30 beans. In each bag, the percent of the beans that are yellow is 50%, 25%, and 20%, respectively. All three bags of candy are dumped into one bowl. What percent of the beans in the bowl are yellow? Round your answer to the nearest integer.
Answer:
Step-by-step explanation:
Figure out the number of yellow beans in each bag:
Bag A: 0.5*26 = 13 beans
Bag B: 0.25*28 = 7 beans
Bag C: 0.2*30 = 6 beans
The total number of beans in the bowl: 26+28+30 = 84
Total number of yellow beans: 13+7+6 = 26
Percentage of yellow beans: 26/84 *100 = 30.9523
Rounded answer: 31%
Answer:
The percentage of yellow beans in the bowl of 84 is approximately 31%.
Step-by-step explanation:
We are given with a word problemWe are asked to find the total percentage of yellow jelly beans We can do this two stepsStep 1: Finding the number of yellows beans in each bags
Step 2: Finding the total percentage of yellow beans
Step 1 of 2
We are given that the three bags contain 26,28 and 30 beans totally in which the percent of yellow beans are 50%, 25% and 20% respectively.
We have to find the number of yellow beans in each bag.
[tex]$=\frac{50}{100} \times 26$$[/tex]
The number of yellow beans in first bag
[tex]$$\begin{aligned}&\frac{1}{2} \times 26=13 \\&=\frac{25}{100} \times 28\end{aligned}$$[/tex]
The number of yellow beans in second bag
[tex]$$\begin{aligned}&\frac{1}{4} \times 28=7 \\&=\frac{20}{100} \times 30 \\&\frac{1}{5} \times 30=6\end{aligned}$$[/tex]
The number of yellow beans in third bag
Step 2 of 2
From the first step we got the number of yellow beans in each bags.
The total number of yellow beans in the bowl =13+7+6
The total number of beans in the bowl
[tex]$$\begin{aligned}=26 &+28+30 \\=& 84 \\&=\frac{26}{84} \times 100\end{aligned}$$[/tex]
The percentage of yellow bean in the bowl
[tex]$$\begin{gathered}\approx 0.3095 \times 100 \\\approx 0.31 \times 100 \\\approx 31\end{gathered}$$[/tex]
Evaluate.
4 to the power of 3 + (-2) to the power of 4
Answer:
4
Step-by-step explanation:
3+(-2) is the same as 3-2 which is 1. and since with multiple exponents you work from the top you have 4 to the power of 1^4. 1^4 is 1, so it's 4^1, which is 4.
Determine whether it’s a change in increase or decrease then find the person, make sure to ROUND to nearest whole percent:
ALSO THE ANSWER IS NOT 182%
1994 cost: $171.33 and 1995 cost: $201.59
Answer:
it is 82%
Step-by-step explanation:
Being sure with my Answers
Ali caught 28 birds. He sold out 8 of themand kept the rest equally in 4 cages. Hiw many birds were kept in each cage?
Write the following in algabraic expression: the sum of the number a and three times the square of the number b
Answer:
a+3b^2
Step-by-step explanation:
On a snowy day 85% of the students of Wilson high school were present. If 572 of the students were present, how many students were enrolled at the school?
Answer:
673
Step-by-step explanation:
okay so uh this is my way and the answer works so like yea teachers dont show like this but ii figured this works
okay so
85/100 = 572/?
so if you divide 85 by 85 its gonna equal 1 and 1 times 100 is gonna be 100
useing the same concept, it should be the same with 572 , but instead of divideing by 572, divide by 85.
basically 572/85
okay now thats gonna give you 6.72941176471 thats vasically 1% of the population.
so multiply 6.72941176471 * 100
so now you have
672.941176471 and you can round this to 673 kids.
and you know its right since 85% of 673 is 572.05 and you can sound to 572
Answer:
673 students
Step-by-step explanation:
Divide the number of students who applied and the decimal of the percentage they represent.
85% = 85/100 = 0.85
572/.85 = 673
Hope this helps
two numbers are the ratio of 2:7. their sum is 63. what is the larger number?
Answer:
49
Step-by-step explanation:
step 1: Add the ratios 2:7 which is 2+7=9
step 2: divide the bigger ratio (7) by the total calculated in step 1 (9) and multiply by the total number given (63)....
step 3: we have 7/9×63 which is 49
therefore the bigger number is 49
Susan needs material for her school project. She buys 3.75 yards of material at $5.72 a yard. What is the total cost of the material? Round to the nearest cent.
Answer: $21.45
Step-by-step explanation:
FACTS:
1 yard costs $5.72.
She bought 3.75 yards
Total cost= cost per yard x number of yards
Total: t
t= 5.72x3.75
t= $21.45
She spent $21.45 for 3.75 yards of material
move the dot -(-D) on the number line
Answer:
the answer is 1/2
Step-by-step explanation:
-(-D) = -(-1/2)
2 negatives make a positive so it would be 1/2 or in other cases, 0.5
Write an equation showing the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p).
f(x)=(5x+3)(x−2)(3x+7)(x+5) has zeros at x = -5, x = -7/3, x = 2
What is the sign of f on the interval -7/3 < x < -3/5?
The sign of f on the interval -7/3 < x < -3/5 is always positive.
How to solve for the sign on the intervalWe have the equation
(5x+3)(x−2)(3x+7)(x+5) > 0
Now when f(x) > 0
Then -7/3 < x < -3/5
This would tell us that the sign would become positive when it changes from the less than to greater than sign
Complete Questionf(x)=(5x+3)(x-2)(3x+7)(x+5) has zeros at x=-5, x=-7/3, x=-3/5, and x=2
What is the sign of f on the interval -7/3<x<-3/5?
answer choices
f is always positive on the interval
f is always negative on the interval
f is sometimes positive and sometimes negative on the interval
f is never positive or negative on the interval
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Josh spent 8 hours in the gym last week.His goal was to spend 12 hours in the gym. What percent of the goal did he meet?
Answer:
2/3 or 66%
Step-by-step explanation:
If you divide 12 into 3 groups you get 4. 4 + 4 = 8 therefore 8/12 = 66%
7. 1 bag of beans weighs 0.7 lb. What is the weight in pounds of 2.5 bags of beans?
If data for the topics below were collected and displayed in a frequency table, which topic would most likely need to be shown in intervals?
(A) favorite food
(B) heights of trees
(C) eye color
(D) foot length of newborn babies
Compare these three ratios using fractions.
3 to 2 5:6 8 to 12
Think about the steps you could take to compare the ratios using fractions.
The first step is to write the ratios as fractions.
The next step is to use a
to rewrite the fractions.
Finally, compare the
to help you order the ratios.
Answer:
i think it would be greatest common factor
Step-by-step explanation:
8.46 If 100 is decreased by a% and the result is decreased by b%, then what is the total percent decrease (in terms of a and b)? (You can assume that both a and b are between 0 and 100.)
Answer:
The total percent decrease is [tex]$a+b-\frac{a b}{100}$[/tex]
Step-by-step explanation:
We are given with a word problemWe are asked to find the total percentage decreaseWe can do this in two stepsStep 1: Finding the two percentage decrease
Step 2: Finding their difference
Step 1 of 2
Let the decrease by a% be 100-a
Then b% decrease is
[tex]$$\begin{aligned}\frac{b}{100} \times(100-a) &=\frac{100 b-a b}{100} \\\frac{100 b}{100}-\frac{a b}{100} &=b-\frac{a b}{100}\end{aligned}$$[/tex]
Step 2 of 2
The percentage difference between the two percentages is,
[tex]$$\begin{aligned}&(100-a)-\left(b-\frac{a b}{100}\right)=100-a-b+\frac{a b}{100} \\&100-a-b+\frac{a b}{100}=100-\left(a+b-\frac{a b}{100}\right)\end{aligned}$$[/tex]
Since 100 is the total percent [tex]$a+b-\frac{a b}{100}$[/tex] is the percentage decrease.
Write the percent as a decimal.
15. 166%
You randomly choose one of the tiles above. Without replacing the first tile, you randomly choose a second tile. Find the probability of the compound event.
22. Choosing a red tile and then a vowel
Answer:
none
Step-by-step explanation:
8.3.6 A dress originally priced at $80 is put on sale at 25% off. If 10% tax is added to the sale price, then what is the total cost of the dress?
Answer:
$66
Step-by-step explanation:
25% of 80 = 20
80 - 20 = 60
10% of 60 = 6
60 + 6 = 66
2 ACTIVITY: Estimating a Percents
Work with a partner. Use a model to estimate the answer to each question. c. 18 is what percent of 40?
Answer: 45%
Step-by-step explanation:
Converting the word problem into words, we have:
18= x/100*40
Solving for it, we get that x=45.
Find the sale price using the following numbers.
Original price: $180; Rate of discount: 15%
Please help me to answer this question!
TYSM!!!!!
Answer:
$180 - (15% * $180) = $153
Step-by-step explanation:
Answer:
$153
Step-by-step explanation:
Hello!
Original Price: $180
Original Percentage: 100% (multiplier = 1)
Discount: 15% (multiplier = 0.15)
Given that the Original Percentage is 100% and the Discount is 15%, we are trying to find 85% of the Original Price.
Sale Price: 85% of Original Price (multiplier = 0.85)
SP = 85% of OPSP = 0.85(180)SP = 153The sale price is $153.
7. Tyrone is thinking of a number. In his number:
- The digit 4 has a value of 0.04
- The digit 3 is in both the ones and tens places.
- The digit 5 is in the tenths place.
- The digit in the ones place is 2 more than the digit in the thousandths place.
What is Tyrone's number?
____ ____ . ____ ____ ____
Answer:
1. 72.33.24. none5.none6.97. 08. 4
Step-by-step explanation: