$960
720÷30=24
24×40=960
Divide. Give special attention to the order of division. a. 72 ÷ 9 ÷ 2 b. (18 ÷ 6) ÷ 3 c. 45 ÷ 5 ÷ 3 d. 144 ÷ (12 ÷ 2)
Answer:
a. 4
b. 1
c. 3
d. 24
Step-by-step explanation:
a. 72 ÷ 9 ÷ 2
= (72÷9)÷2
= 8÷2
= 4
b. (18 ÷ 6) ÷ 3
= 3÷3
= 1
c. 45 ÷ 5 ÷ 3
= (45÷5)÷3
= 9÷3
=3
d. 144 ÷ (12 ÷ 2)
= 144÷6
= 24
PLLLZ HELP I'LL GIVE BRAINLISET
Answer:
Step-by-step explanation:
Sandy only because the 2 prisms overlap
4. A horse is tethered to one corner of a square plot of side 42 m, by a rope 35 m long. Find i) what area it can graze ii) what area will be left ungrazed.
Answers:
i) It can graze an area of approximately 961.625 square meters
ii) The ungrazed area is roughly 802.375 square meters
note: I used pi = 3.14 which is approximate; if you want more accuracy, use more decimal digits in pi
===============================================
Explanation:
Check out the attached image below for a visual diagram.
The area of a circle is the formula
A = pi*r^2
Use r = 35 as the radius and pi = 3.14 as the approximation for pi, to get,
A = pi*r^2
A = 3.14*35^2
A = 3846.5
Then divide this by 4 to get the area of a quarter circle
A/4 = 3846.5/4 = 961.625
This is the approximate area the horse can graze
------------
Subtract this from 42^2 = 42*42 = 1764 because this is the area of the entire square. Doing this will get you the ungrazed area
Ungrazed area = (entire plot) - (grazed area)
Ungrazed area = (entire area of square) - (area of quarter circle)
Ungrazed area = 1764 - 961.625
Ungrazed area = 802.375
Solve for the midpoint of the segment with endpoints (5,18) and (-11,2)
Answer:
Midpoint ( -3, 10)
Step-by-step explanation:
To find the midpoint , we use the formula
midpoint = (x1+x2)/2, (y1+y2)/2
Substituting what we know
= (5+-11)/2, (18+2)/2
= (-6/2), (20/2)
=-3,10
NEED HELPPPP ASAP PLEASEEEE
Answer: 35.6 (choice A)
To get this answer, add up the values: 39+42+27+45+25 = 178
Next, divide that result by 5 because there are 5 scores added up in the previous step. Doing this division gets us to: 178/5 = 35.6
From a boat on the lake, the angle of elevation to the top of a cliff is 28°16'. If the base of the cliff is 1307 ft from the boat, how high is the cliff (to the nearest foot)
keeping in mind that there are 60 minutes in 1 degree, thus 16' is really 16/60 ≈ 0.2666...., meaning [tex]\bf 28^o16'\implies 28.\overline{27}~^o[/tex].
Check the picture below.
make sure your calculator is in Degree mode.
If triangle TOY is equal to triangle STU, then what corresponding side is congruent to side US?
Marisa painted one-half of her bedroom in three-fourths of an hour. At this rate, how long would it take her to paint the entire room? three-eighths of an hour eight-thirds of an hour four-sixths of an hour six-fourths of an hour
Answer:
6/4 of an hour hope this helps.
Ally brought 1/2 pound of cashews 5/6 pound of granola.plot the fractions on the number line.which quantity is greater?explain.
The table shows the price for different numbers of
ice cream cones:
number of ice cream cones || price (in dollars)
2 4
4 8
5 10
8 16
Does this table of numbers represent a proportional relationship?
a ] No, because the price of 4 ice cream cones should be $6
b ] No, because the price of 5 ice cream cones should be $20
c ] Yes, because the price is 2 times the number of ice cream cones
d ] Yes, because 2 times the price is the number of ice cream cones
Answer: C
Step-by-step explanation:
Each of the number of cones multiplied by two equals the reciprocating number so they are all proportional.
Answer Is:
C Please mark me brainliest
2x (y^2+3)-5 (3+y^2)
Use distributive property a(b + c) = ab + ac.
[tex]2x(y^2+3)-5(3+y^2)=(2x)(y^2)+(2x)(3)+(-5)(3)+(-5)(y^2)\\\\=2xy^2+6x-15-5y^2[/tex]
what is the following quotient -2 srt8 4+sqrt 12
[tex]\dfrac{-2\sqrt8}{4+\sqrt{12}}=\dfrac{-2\sqrt{4\cdot2}}{4+\sqrt{4\cdot3}}=\dfrac{-2\cdot\sqrt4\cdot\sqrt2}{4+\sqrt4\cdot\sqrt3}=\dfrac{-2\cdot2\sqrt3}{4+2\sqrt3}=\dfrac{-4\sqrt2}{2(2+\sqrt3)}=-\dfrac{2\sqrt2}{2+\sqrt3}\\\\\text{Use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{-2\sqrt2}{2+\sqrt3}\cdot\dfrac{2-\sqrt3}{2-\sqrt3}=\dfrac{-2\sqrt2(2-\sqrt3)}{2^2-(\sqrt3)^2}\\\\\text{Use distributive property and}\ \sqrt{a}\cdot\sqrt{b}=\sqrt{ab}\\\\=\dfrac{-4\sqrt2+2\sqrt6}{4-3}=\dfrac{2\sqrt6-4\sqrt2}{1}=2\sqrt6-4\sqrt2[/tex]
the length of a rectangle is 2 cm more than the width. if the area of the rectangle is 24 cm2 what is the length of the rectangle?
The question is about finding the length of a rectangle. By creating and solving a quadratic equation with provided information, the width and length of the rectangle are 4 cm and 6 cm respectively.
Explanation:The problem involves finding the length of a rectangle. To solve this, we need to consider the fact that we know information about the dimensions and area of the rectangle. The area of a rectangle is obtained by performing the multiplication of the length and the width. In this specific problem, it's stated that the length is 2 cm more than the width, and we also know that the area of the rectangle is 24 cm2.
Let's represent the width by x. Therefore, the length would be x+2. Since the area is the length multiplied by the width, we create the equation x*(x+2) = 24, which simplifies to x2+2x=24. Subtracting 24 from both sides, we get x2+2x-24 = 0.
This a quadratic equation and we'll solve for x using the quadratic formula, which results in x = 4 or x = -6. Since the width cannot be negative, x = 4 cm. After this, substitute the width (x) into the length equation. The length (x + 2) is 4 cm + 2 cm = 6 cm.
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The length of the rectangle is [tex]\( 2\sqrt{7} \)[/tex]cm.
To solve this problem, let's denote the width of the rectangle as [tex]\( w \)[/tex] cm. According to the information given, the length of the rectangle is then [tex]\( w + 2 \)[/tex] cm. The area of a rectangle is given by the product of its length and width, so we can set up the following equation:
[tex]\[ w \times (w + 2) = 24 \][/tex]
Expanding the equation, we get:
[tex]\[ w^2 + 2w = 24 \][/tex]
To solve for [tex]\( w \)[/tex], we need to rearrange the equation into standard quadratic form:
[tex]\[ w^2 + 2w - 24 = 0 \][/tex]
Now, we can factor this quadratic equation:
[tex]\[ (w + 6)(w - 4) = 0 \][/tex]
Setting each factor equal to zero gives us two possible solutions for [tex]\( w \)[/tex]:
[tex]\[ w + 6 = 0 \quad \text{or} \quad w - 4 = 0 \] \[ w = -6 \quad \text{or} \quad w = 4 \][/tex]
Since the width of a rectangle cannot be negative, we discard[tex]\( w = -6 \)[/tex] and accept [tex]\( w = 4 \)[/tex] cm as the width of the rectangle.
Now that we have the width, we can find the length by adding 2 cm to the width:
[tex]\[ \text{Length} = w + 2 = 4 + 2 = 6 \text{ cm} \][/tex]
However, we need to check if this length satisfies the area condition:
[tex]\[ \text{Area} = w \times \text{Length} = 4 \text{ cm} \times 6 \text{ cm} = 24 \text{ cm}^2 \][/tex]
This confirms that the length is indeed 6 cm when the width is 4 cm. Therefore, the length of the rectangle is [tex]\( 2\sqrt{7} \)[/tex] cm, since [tex]\( 6 = 2\sqrt{7} \)[/tex] when rounded to the nearest whole number.
A man bought 8 boxes highlighters, each with 24 highlighter pens inside, for $9 each box. He sold the highlighters for $1 each. Did he earn money or lose money? How much money did he earn or lose?
Answer:
The man earned money:
Step-by-step explanation:
$1 x 24 pieces =$24 revenue per box
$24 - $9 = $15 earning per box
$15 x 8 boxes = $120 total earnings
Roger is having a picnic for 72 guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot dogs, which inequality gives the minimum number of packages he will need to buy? A) p ≥ 9 B) p ≥ 6
C) p ≤ 6 D) p ≤ 9
Answer:
The answer is A.
Step-by-step explanation:
To solve this problem, use the inverse operation of multiplication, which is division. 72 ÷ 8 = 9. Since the problem stated "which inequality gives the minimum number of packages he will need to buy?" 9 is the minimum number. Therefore, A is the answer.
Show Work:
8p ≥ 72
÷8 ÷8
p ≥ 9
Answer:
A p≥9
Step-by-step explanation:
when does the price of an item increase
Final answer:
The price of an item can increase due to inflation, a reduction in supply, or an increased demand. High inflation rates make it challenging to determine the exact causes of price increases and complicate decision-making for both consumers and businesses.
Explanation:
The price of an item can increase due to various factors such as inflation, a decrease in the supply of the good, or an increase in the demand for the good. In situations of high inflation, such as the case in Israel in 1985 with an annual inflation rate of 500%, prices can change so frequently that stores might not post prices directly on items. This makes it challenging for consumers and businesses to respond to economic signals, complicates price comparisons, and makes it difficult to deduce the cause of price increases.
Inflation implies a general increase in prices and can affect all goods and services, leading consumers to spend money quickly before prices rise further. A decrease in supply, perhaps due to production issues or scarcity of resources, can lead to higher prices if demand remains constant. Conversely, an increase in demand for a good without a corresponding increase in supply can also drive prices up. Recognizing the reasons behind rising prices can be complex, especially when high inflation rates obscure the underlying economic indicators.
I need help please show work.
Answer:
The midpoint of the segment is (6,5)
Step-by-step explanation:
To find the midpoint of a segment we use the formula
midpoint = (x1+x2)/2, (y1+y2)/2
= (10+2)/2 , (7+3)/2
= 12/2, 10/2
=6,5
The midpoint of the segment is (6,5)
given m=1/3, what is the parallel slope? what is the perpendivular slope?
Answer:1/3 and -3
Step-by-step explanation:pararel slope is the same as mane slope, and perpendicular is opicite reciprical.
Answer:
parallel: m = 1/3
perpendicular: m = -3
Step-by-step explanation:
Parallel line:
Slopes of parallel lines are equal.
If the given line has slope 1/3, then the parallel line also has slope 1/3.
Perpendicular line:
The slopes of perpendicular lines are negative reciprocals. That means that the product of the slopes is -1. That also means that to find the slope of a perpendicular line to a given line, first find the reciprocal of the slope of the given line (flip the fraction), then change the sign.
The slope of the perpendicular line and the slope of the line must multiply to -1.
Start with the given slope, 1/3. Now flip it to get 3/1 which is simply 3. Now change the sign to -3. The slope of the perpendicular is -3.
Check: multiply the slopes. They must have a product of -1.
1/3 * (-3) = 1/3 * (-3/1) = -3/3 = -1
The product is -1, so the slope of the perpendicular, -3, is correct.
A bag contains 6 blue marbles 10 red marbles and 9 green marbles. If 2 marbles are drawn at random without replacement what is the probability that to green marbles are drawn
Answer:
P(1 and 2 are green) = 3/25
Step-by-step explanation:
We need to know the total number of marbles
6 Blue + 10 red + 9 green = 25 marbles
P ( 1st marble is green) = green/ total
= 9/25
Since we don't put it back, there are
6 Blue + 10 red + 8 green = 24 marbles
P ( 2st marble is green) = green/ total
= 8/24 = 1/3
P(1 and 2 are green) = P(1st green) * P(2nd green)
= 9/25 * 1/3
= 3/25
To calculate the probability of drawing two green marbles consecutively without replacement, multiply the probability of drawing a green marble on the first draw (9/25) by the probability of drawing another green marble on the second draw (8/24, or 1/3), which equals 0.12.
Explanation:The question is asking about the probability of drawing two green marbles consecutively from a total of 25 marbles without replacement. The total number of marbles is comprised of 6 blue, 10 red, and 9 green marbles. The probability rule for independent events must be used in this scenario, which states that the probability of both events occurring is the product of the probabilities of each event.
Initially, you have 9 green out of 25 total marbles so the probability of drawing a green is 9/25. After having drawn one green marble, there are now 8 green out of a total of 24 marbles left in the bag, hence the probability of drawing one more green would be 8/24 or 1/3. Therefore, the probability of drawing two green marbles consecutively, without replacement is (9/25) * (1/3) or 3/25 or 0.12.
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lightning strikes the earth 1000 times every ten seconds. how many seconds does it take forr it to strike 7250 times?
Answer:
72.5 seconds
Step-by-step explanation:
7250 ÷ 1000 = 7.25
7.25 x 10 = 72.5 seconds
Answer:
72.50 s
Step-by-step explanation:
Lightning strikes the earth 1000 times every 10 seconds. First calculate time taken for each lightning to strike the Earth by unitary method:
1000 times lightning takes 10 s
1 time lightning would take [tex]\frac{10s}{1000} = 0.01 s[/tex]
Multiply 7250 with this time. It will yield amount of time in which lightning would strike 7250 times:
[tex]\frac{10s}{1000}\times 7250 =72.50 s [/tex]
Number 15 please ASAP
With an explanation if possible
Answer:
D 1/40
Step-by-step explanation:
Of the dogs at the show, 1/12 were hounds
Of the hounds, 3/10 were English foxhounds
To determine how many at the show were English foxhounds, we multiply 1/12 by 3/10
1/12* 3/10 = 3/120 = 1/40
is 0.6 a rational number why or why not
Answer:
.6 is a rational number
Step-by-step explanation:
.6 can be written as 6/10
This is the ratio of integers , which is the definition of rational numbers
Answer:
Rational
Step-by-step explanation:
A rational number is a number that can be expressed as a fraction of integers. .6 (or any terminating decimal) can be expressed as a fraction. .6 is the same as 6/10. Since it is able to be expressed as a fraction, it is a rational number.
Write an explicit formula fo the sequence 7,2,-3,-8,-13.... Then find the 14th term
(please explain)
Answer:
The 14th term is -58
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1+d(n-1)
where a1 is the first term
d is the common difference and
n is the term number
a1 = 7
d = 2-7 = -5
Check -3-2 = -5 so d = -5
an = 7 -5(n-1)
We want the 14th term
a14 = 7 -5(14-1)
a14 = 7 -5(13)
a14 = 7 -65
a14 = -58
Nate and Laura picked apples. Laura picked 1/2 as many as Nate picked. Together they picked 90 apples. How many did each of them pick?
Let n stand for the number of apples Nate picked.
Equation:____
How many apples did Nate pick?______
How many apples did Laura pick?______
Answer: Nate picked 60 apples and Laura picked 30. (1/2)x+x=90
Step-by-step explanation:
you buy a book for 10.99 dollars and pay $0.91 in sales tax how much change should you receive from a $20 bill explain your work
Answer:
$8.10 would be the change
Step-by-step explanation:
10.99+0.91=11.90 to find the total
$20.00-11.90= 8.10 to find the change
Hope this helped ❤️
Answer:
$8.10
Step-by-step explanation:
The first step is to calculate how much you owe.
10.99 + .91 = 11.90
Change = Cash paid - how much you owe
= 20.00 - 11.90
=8.10
The change is $8.10
p^n/p^8 = p^-6 what is N? the arrows pointing up mean the power of the letter
[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}.\\\\\dfrac{p^n}{p^8}=p^{-6}\\\\p^{n-8}=p^{-6}\iff n-8=-6\qquad\text{add 8 to both sides}\\\\\boxed{n=2}[/tex]
What is the value of X?
X=
B=75
C=50
A=x
Thank u! Sorry i'm dumb:(
Answer:
55
Step-by-step explanation:
70+50=125
180-125=55
work out the value of (10^4)^2
plsssssss this is urgentttttt
[tex](10^4)^2[/tex]
When you multiply an exponent directly into another exponent, you multiply the exponents.
For example:
[tex](x^{2})^3=x^{2(3)}=x^6[/tex]
[tex](x^5)^3=x^{5(3)}=x^{15}[/tex]
So:
[tex](10^4)^2=10^{4(2)}=10^8=100,000,000[/tex]
Answer:
it is 200000
Step-by-step explanation: ok you want me to show you! huh! :)
so you do 10 times the 4 which is 100000
next you times it by 2 which is equal to 200000
so your answer is 200000
Determine whether the lines are parallel. Use slope to explain your answer. Use the graph shown below.
The slope is of the red line is ___
The slope is of the blue line is ___
The lines do/do not have the same slope so they are/are not parallel.
Answer:
red 2/3
blue 1/2
The lines do not have the same slope so they are not parallel
Step-by-step explanation:
We can find the slope of the red line by using the formula
m = (y2-y1)/(x2-x1)
We have the points (0,2) and (3,4)
m= (4-2)/ (3-0)
= 2/3
We can find the slope of the blue line by using the formula
m = (y2-y1)/(x2-x1)
We have the points (0,-2) and (4,0)
m= (0--2)/ (4-0)
= (0+2)/(4-0)
= 2/4
=1/2
The lines do not have the same slope so they are not parallel
Karin wants to use the distributive property to mentally find the value of 19 x 42+ 19x 58. Which expression can she use?
Answer:
19(42 + 58)
Step-by-step explanation:
Assuming x = multiply, you are trying to solve the distributive property. Divide common factors from both terms (in this case 19).
~
Answer:
19(42 + 58)
Step-by-step explanation:
19 * 42 + 19 * 58 =
= 19 * (42 + 58) <------- this is the expression
= 19 * 100
= 1900