let's firstly convert the mixed fractions to improper fractions and then multiply.
[tex]\stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}}~\hfill \stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{3}\cdot \cfrac{8}{3}\implies \cfrac{40}{9}\implies 4\frac{4}{9}[/tex]
Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as dimes. Write a system of equations that could be used to determine the number of dimes and the number of quarters that Sophie has.
Answer:
0.25q +0.10d = 4.20q = 2dStep-by-step explanation:
Let q represent the number of quarters, and d represent the number of dimes.
0.25q +0.10d = 4.20 . . . . . the value of the coins
q = 2d . . . . . . . . . . . . . . . the relation between the numbers of coins.
__
Additional comment
Using substitution, the equation simplifies to ...
0.60d = 4.20
d = 7
q = 14
Note that the coins can be grouped into groups of 2 quarters and 1 dime. The value of the group is $0.60, and the number of dimes is equal to the number of groups. Thinking about the problem in this way gets you immediately to the single equation 0.60d = 4.20.
What is the diameter of a circular swimming pool with a radius of 9 feet? Enter only the number
Answer:d=18FT
Step-by-step explanation:
YOUR WELCOM :)
(2+√3)+(4-√3)
[tex] [/tex]
Explanation :
________________________________
Given:
(2+√3)+(4-√3)
To Find:
Evaluate the expression
Solution:
⇨Step 1:
Remove the parentheses
(2+√3)+(4-√3)
When there is + or no sign in front of an expression in parentheses, the expression remains the same
= 2 + √3+ 4-√3
⇨Step 2:
Cancel the opposite terms √3 and -√3
"Two numbers are opposites if they have the same absolute value but different signs"
= 2 + 4
⇨Step 3:
Add the numbers
= 6
Hence (2+√3)+(4-√3) = 6.
Sheila has $46 to buy graphing pads for her math class. Each pad costs $8.
How many pads can she buy? Do not include units in your answer.
Answer:
5
Step-by-step explanation:
If sheila has $46 to buy pads with, and each pad costs $8, then:
8 · 5 = 40
8 · 6 = 48
48 > 46,
So maximum amounts of pads she could is 5, and have remaining $6
Answer:
46÷8=5.75 so the answer is 5
Factorise the following expressions.
a² + 8a + 16
Explanation :
________________________________
Factorizes:
⇒ a² + 8a + 16 = 0.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ a² + 4a + 4a + 16 = 0.
⇒ a(a + 4) + 4(a + 4) = 0.
⇒ (a + 4)(a + 4) = 0.
⇒ (a + 4)² = 0.
⇒a=-4.
Hence a=-4.
The scale on a map is 2 in. =250 miles. If Toledo and Kansas City are 2.25 in. How far are they apart in real life?
Answer:
281.25 miles
Step-by-step explanation:
2=250
1=125
0.5=62.5
0.25=31.25
250+31.25=281.25
What could be
a good option available to you if you are
behind on loan payments?
A good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.
For a good financial management, the best decision to make profit or avoid loss is paramount.
The most difficult challenge faced today by loan companies is the non complaisance of the customers to pay back when the period given expires.
The best option that may be available for the loan manager must be a request for the customer to pay part of the loan and complete the payment in the next pay day.
Thus, a good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.
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Joe wants to build a doll house for his daughter. He wants the doll house to look just like his house. His house is 29 feet wide and 32 feet tall at the highest point of the roof. If the dollhouse will be 2.5 feet wide, how many feet will its highest point be? (Round your answer to one decimal place.)
Answer:
3.5 feet
Step-by-step explanation:
The highest point of the dollhouse will be 2.76 feet.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
The width of house = 29 feet.
And the height of the house = 32 feet.
Also, the width of dollhouse = 2.5 feet
Let the height of the doll is x feet.
To find the value of x,
Use proportion property,
29 / 32 = 2.5 / x
x = (32 × 2.5) / 29
x = 80 / 29
x = 2.758
the height of the doll is 2.76 feet.
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what is integration ....nd differentiation
Answer:
Differentiation is used to break down the function into parts, and integration is used to unite those parts to form the original function. Geometrically the differentiation and integration formula is used to find the slope of a curve, and the area under the curve respectively.
Answer:
integration is the opposite of differentiation
Step-by-step explanation:
integration requires addition of 1 to the power and then division by the value eg
the integral of
[tex]{x}^{2} = \frac{ {x}^{2 + 1} }{2 + 1} \\ = \frac{ {x}^{3} }{3} [/tex]
while in differentiation, u subtract one and multiply by the value. eg
the differential of
[tex] \frac{ {x}^{3} }{3} = 3( \frac{ {x}^{3 - 1} }{3} ) \\ = 3( \frac{ {x}^{2} }{3} ) \\ = {x}^{2} [/tex]
LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answers:
[tex]I(-2,-1) \to I \ ' \ (-5,-2.5)\\\\J(-1,2) \to J \ ' \ (-2.5,5)\\\\K(2,-1) \to K \ ' \ (5,-2.5)\\\\[/tex]
===============================================
Explanation:
Since the center of dilation is the origin, we multiply each preimage coordinate by 2.5 (which is the scale factor).
For example, the preimage point J(-1, 2) moves to J ' (-2.5, 5)
-1*2.5 = -2.52*2.5 = 5This will cause the image triangle I'J'K' to be larger than the preimage IJK. Specifically, each side of the image is 2.5 times longer compared to the preimage.
Answer:
i' (-5, -2.5) J' (-2.5, 5) K' (5, -2.5)
Step-by-step explanation:
you just take the original coordinates and multiply them by 2.5
This is a special array.
1,2,2,5,2,2,9,0,...
what is next number?
Answer:
2
Step-by-step explanation:
the first number is one .then you write number two twice . The next number is the summation of the three previous numbers .then you write number two twice and the next number is the summation of the three previous numbers .and you do that regularly
Which graph or graphs show that a 5 minute phone call costs $4?
The graph should show an increase of $ 0.80 for every minute that the call lasts.
A 5 minute phone call costs $ 4, with which, to determine the information that the graph should show, the following calculation must be performed:
4/5 = X 0.80 = X
Therefore, the graph should show an increase of $ 0.80 for every minute that the call lasts.
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Answer:
Step-by-step explanation:
Mr. Factor bought 9.8 gallons of gasoline at $1.15 a gallon. How much did he pay for the gasoline?
Answer:
8.52
Step-by-step explanation:
9.8 divided by 1.15 = 8.52
The area of Asia is approximately 4.46 × 107 square kilometers. Its population is approximately 3.70 × 109 people. What is the approximate population density (people per square kilometer) of Asia? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.
- 120.54 people/km2
- 82.96 people/km2
- 8.30 x 10 (15th power) people/km2
- 8.30 x 10 (1st power) people/km2
Step-by-step explanation:
you have to be careful what you are typing.
the way you wrote the numbers Asia would be a tiny place with very few people.
but I think you meant to say :
area is 4.46 × 10⁷ km²
with 3.70 × 10⁹ people.
people / km² = 3.70/4.46 × 10⁹/10⁷ =
= 0.829596413... × 10² = 82.9596413... =
= 82.96 people/km²
The population density will be equal to 82.96 people/km2. The correct option is B.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the area is 4.46 × 10⁷ km² with 3.70 × 10⁹ people. The population density will be calculated as below:-
Density = people / km² = ( 3.70 × 10⁹ ) / ( 4.46 x 10⁷ )
Density = 0.829596413... × 10² = 82.9596413
Density = 82.96 people/km²
Therefore, the population density will be equal to 82.96 people/km2. The correct option is B.
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Jake ran 4% miles in % of an hour. How fast did he run in one hour?
I WILL GIVE BRAINLY!!!
-x - 8 ≤ 16
Please answer! Is the answer 24 or -24?
My last inequality before I got my answer was : -x ≤ 24.
But as we know if there is a varible that has no number associated with it we assume that the number for it is just one, but in this case -x would be -1x. So if I divide -1x/-1 that would be x, but if I divide 24/-1, that would be -24. So in the end someone just tell me if it's 24 or -24?!
Answer: The answer is X ≥ -24.
Explanation in the image.
Please some urgent help!!!!
Answer:
brain less or i hack ur acc to ban
Step-by-step explanation:
u cant report me because im hacker
Use the exponential regression equation that best fits the data (10,4). (12,20), (13,35), and (16,300) to estimate y when x = 15.
A 53.1
В. 97.2
C. 146.7
D. 254.8
Answer:
c 146.7
Step-by-step explanation:
cuz
Can someone explain how you do fractions like adding them? And what rules they have to find the answer?
Answer:
Hope this image helps you. (sorry if it's tiny writing.)
Step-by-step explanation:
Suppose the sample space for a probability experiment has 48 elements. If items from the sample space are selected without replacement, how many different ways can you select all of the items?
Answer:
56study hard watch your book for 20 minute and look....this is a hint
Dave and Kyle are 40 miles apart on a path when they start moving toward each other. Dave runs at a constant speed of 8 miles per hour, while Kyle walks at a constant speed of 5 miles per hour. How long does it take until they meet?
Answer:
About 3 hours
Step-by-step explanation:
together, they go 13 miles in one hour. 40/13 = 3 with remainder 1
Hope everyone has a happy holiday for whatever you celebrate :)
Answer:
Happy holidays to everyone!
Step-by-step explanation:
The midpoint M of ST has coordinates (5, 5). Point T has coordinates (9,5). Find the
coordinates of point S.
Answer:
5,5
Step-by-step explanation:
If the sum of squares for a sample containing 51 items equals 200, what is the standard deviation?
A) 1.98
B) 2.00
C) 3.92
D) 4.00
The standard deviation is 1.98. Option A is correct.
The standard deviation formula is given as
[tex]\sigma = \sqrt{\frac{SS}{n} }[/tex]where:
SS is the sum of squares = 200n is the sample size = 51Substitute the given parameters into the formula to have:
[tex]\sigma = \sqrt{\frac{200}{51} }\\\sigma = \sqrt{3.922}\\\sigma = 1.980[/tex]
Hence the standard deviation is 1.98
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Help me with my math please
Step-by-step explanation:
1 _21:00_ , _22:10_, 1:10
2. 1:20
3. 18:00
4. 21:35
1. 21:00, 22:10, 1 hr and 10 minutes
2. 20 minutes
3. 18:40
4. 21:35
Read in equality quality for the graph shown below use ask for your beard
Answer:
x<-3
Step-by-step explanation:
What is the value of x in the equation 4
.
+
2
Answer:
x=-3
Step-by-step explanation:
ST
16. (26)
A bag contains 3 green marbles and
7 yellow marbles. Find the probability of
drawing a green marble, keeping it, and
drawing another green marble. Write the
probability as a fraction in simplest form.
17.
Answer:
the probability would be 30% but as a fraction it would be 3/10
Step-by-step explanation:
Answer:
7/15
Step-by-step explanation:
The probability of the first one is 7/10 and the second one is 6/9. Multiply them together and you get 42/90, which simplifies to 7/15.
Hassan made a vegetable salad with 2 3/8 pounds of tomatoes, 1 1/4 pounds of asparagus, and 2 7/8 pounds of potatoes. How many pounds of vegetables did he use altogether?
Btw please show work.
Step-by-step explanation:
OK so
Tomatoes = 2 3/8 = 19/8 (turned into improper fraction)
Asparagus = 1 1/4 =5/4
Potatoes = 2 7/8 = 23/8
Total vegetables used =
19/8 + 5/4 + 23/8 = 42/8 + 5/4 = 42+10/8 =52/8
Answer is 52/8 = 6.5
Answer : 52/8 pounds were used altogether
See picture for solution.
What is the simplest form of
Answer:
B
Step-by-step explanation: