Answer:
-5 and 5
Step-by-step explanation:
5 + 5 = 10 and 5 and -5 are 10 spaces away from each other, hope this helps! :)
Answer:
5, -5
Step-by-step explanation:
5 = 5 units away from 0
-5 = 5 units away from zero
5 units + 5 units = 10 units
-5 to 5 = 10 units apart 5 and -5 are opposites of each other because positive is the opposite of negative and vice versa
hope this helped :) ^^
Jane and Abigail measured the lengths of their bedrooms. Jane's was 11.75 feet and Abigail's was 14.5 feet. How much longer was Abigail's room?
Abigail's room is 2.75 feet longer than Jane's
How to determine how much longer is the length?The lengths of the rooms are given as
Length of Jane's room = 11.75 feet
Length of Abigail's room = 14.5 feet
The length where the length of Abigail's room is greater or longer than Jane's is calculated using
Length = Length of Abigail's room - Length of Jane's room
Substitute the known values in the above equation
So, we have
Length = 14.5 feet - 11.75 feet
Evaluate the difference
Length = 2.75 feet
Hence, the length is 2.75 feet longer
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the measure of two vertical angles are 8x-18 and 6x+14 find x
A:16
B:110
C:32
D:70
18+14=32
32 divided by 2 = 16
is this right??
When the measure of two vertical angles are 8x-18 and 6x+14, x is A. 16.
How to illustrate the information?It should be noted that vertically opposite angles are equal. In this case, we have to equate both angles given. This will be illustrated as:
Angle 1 = Angle 2
8x - 18 = 6x + 14
Collect like terms
8x - 6x = 14 + 18
2x = 32
Divide
x = 32/2
x = 16
The value of x is 16.
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In triangle ABC, let the angle bisectors be BY and CZ. Given AB = 8, AY = 6, and CY = 3, find BZ.
The length of the segment BZ is approximately 2.78
The above value is obtained by using the following process:
The given parameters of the triangle are;
The angle bisectors of the triangle = BY and CZ
The point at which BY and CZ meet = The point I
The length of CY = 4
The length of AY = 6
The length of AB = 8
The unknown parameter;
The length of the segment BZ
Method:
Apply the angle bisector theorem
According to the angle bisector theorem we have;
AY/CY = AB/BC
BZ/AZ = BC/AC
From AY/CY = AB/BC, we get;
6/4 = 8/BC
6 × BC = 8 × 4 = 32
BC = 32/6 = 16/3 = 5.33
BC = 5.33
From BZ/AZ = BC/AC, we have;
AC = CY + AY
∴ AC = 4 + 6 = 10
AZ = AB - BZ
∴ AZ = 8 - BZ
Therefore;
BZ/8 - BZ = 5.33/10
10 × BZ = ×(8 - BZ) = (16/3) × 8 - (16/3)·BZ
10·BZ + (16/3)·BZ = (16/3) × 8
(46/3)·BZ = 128/3
BZ = 128/46 = 64/23
Length of the line BZ = 64/23 = 2 ≈ 2.78
Therefore, the length of the segment BZ is approximately 2.78.
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(3x²y) . (2xy³) . (4x²y²)
Answer:
24[tex]x^{5}[/tex][tex]y^{6}[/tex]
Step-by-step explanation:
(3x²y) × (2xy³) × (4x²y²)
= 3 × 2 × 4 × x² × x × x² × y × y³ × y²
= 24 × [tex]x^{(2+1+2)}[/tex] × [tex]y^{(1+3+2)}[/tex]
= 24[tex]x^{5}[/tex][tex]y^{6}[/tex]
In a local soccer league there are 17 coaches and 323 players. The league commissioner wants to divide up all of the teams evenly. What ratio best represents the number of coaches to the number of players on each team?
Answer:
the ratio is 17/323 equals 19, therefore there would be 19 players per team.
What is the answer pls
Answer: 11.2
Step-by-step explanation: In order to find the length of n, you can use the given angle measure and base length as well as a trig ratio. Since 6.2 is adjacent to angle N, you can use tangent (opposite/ adjacent).
tan (61) = n/6.2
(multiply by 6.2 on both sides to isolate n)
• 6.2 • 6.2
tan (61) • 6.2 = n
11.185 = n
~11.2 = n.
PLWASE HELP I WILL GIVE BRAINLIEST
The sum of two numbers is 21. The second number is six times the first number. Work out the two numbers. Write your ansWwers on one line.
my calculator isn’t working. what’s 36 times 9
explain
A youth organization raised $15, 336 by selling gift baskets. Five different
teams sold the baskets. Martin's team sold 48 baskets, Amy's team sold 138
baskets, Sharon's team sold 77 baskets, Juan's team sold 250 baskets, and
Dee's team sold 126 baskets.
Part A
Each gift basket was the same price. What was the price of one basket?
Two or more expressions with an Equal sign is called as Equation. Price of each basket is 24.ice of each basket is 24.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given A youth organization raised $15, 336 by selling gift baskets.
Martin's team sold : 48 baskets
Amy's team sold : 138 baskets
Sharon's team sold :77 baskets
Juan's team sold : 250 baskets
Dee's team sold : 126 baskets
Let x be the price of each basket.
Let us form a equation by given data
48x+138x+77x+250x+126x=$15, 336
639x=$15, 336
Divide both sides by 639
x=24
Hence price of each basket is 24.
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What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98. How much change did he receive if
he gives the cashier $40.
Answer: If John gives the cashier $40 he will get 9.02 change back because $40.98 - $30.98 = $9.02
PLEASE RESPOND THIS IS DUE TMR
Giorgio fills up his car which is 60 liters.
After a certain distance, 340 deciliters remained in the tank.
How many liters did it consume?
How much did you spend if 1 liter costs € 1.45? How many liters of petrol can you buy for € 58?
My book has the answer but not step by step explanation
[ 26 liters; €37,70; 40 liters ]
The amount of litres he consume is 26 litres.
He spent a total of €37,70 for 26 litres.
He can buy 40 litres of petrol for € 58
How to find the number of litres the car consume and the cost?He fills up his car which is 60 litres.
After a certain distance, 340 decilitres remained in the tank.
Therefore, we have to convert the amount of gas remaining in the car to litres.
Hence,
1 decilitres = 0.1 litres
340 decilitres = ?
cross multiply
amount of petrol remaining in the car = 0.1 × 340
amount of petrol remaining in the car = 34 litres
Therefore,
amount of litres consumed = 60 - 34 = 26 litres.
Let's find the cost he spent if 1 litre cost € 1.45.
1 litre = € 1.45
26 litres = ?
amount spent = 26 × 1.45
amount spent = € 37.70
Let's find how many litres of petrol he can buy for € 58.
€ 1.45 = 1 litre
€ 58 = ?
cross multiply
number of litres he can buy with € 58 = 58 / 1.45
Therefore,
number of litres he can buy with € 58 = 40 litres.
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what do electrons wear on their feet
https://www.tamdistrict.org/cms/lib8/CA01000875/Centricity/Domain/377/2.6%20HW%2014.pdf
say we use a 5% p-value cutoff. do we reject the null, fail to reject the null, or are we unable to tell using our staff confidence interval?
1. Reject the null.
2. Data is consistent with the null hypothesis.
3. Unable to tell using our staff confidence interval.
What are confidence interval?A confidence interval in frequentist statistics is a range of estimates for an unknown parameter. A confidence interval is calculated at a specified degree of confidence; the most popular level is 95%, but other levels, such 90% or 99%, are occasionally used. Confidence intervals are used by statisticians to assess a sample variable's level of uncertainty. For instance, a researcher might randomly select many samples from the same population, compute a confidence interval for each sample, and then examine how well each sample might reflect the true value of the population variable. The generated datasets are all unique, some of which contain the genuine population parameter and others which do not. An unknown population parameter is most likely to be found inside a range of values that is bounded above and below the statistic's mean.
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an architect creates two different blueprints for a new storage unit building. The scale from the building to the first blue print is 8ft to 2 cm. The length of a type A storage unit is 6.5 cm on the first blue print. The scale from the building to the second blueprint is 24 ft to 4cm The length of type B storage unit is 4.5 cm on the second blueprint. Which type of storage unit is longer?
The type-B storage unit is longer.
The architect creates two different blueprints for a new storage unit building.The scale from the building to the first blueprint is 8ft to 2 cm.The length of a type A storage unit is 6.5 cm on the first blue print.The actual size, according to the ratio in the corresponding first blueprint, is (8/2)*6.5.The actual size, according to the ratio in the corresponding first blueprint, is 26 feet.The scale from the building to the second blueprint is 24 ft to 4cm.The length of a type B storage unit is 4.5 cm on the first blue print.The actual size, according to the ratio in the corresponding first blueprint, is (24/4)*4.5.The actual size, according to the ratio in the corresponding first blueprint, is 27 feet.Thus, the length of the storage unit of type B is greater.To learn more about ratio, visit :
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Find the number that makes the ratio equivalent to 3:2.
:20
Three ratios that are equivalent to 3:2:20 are: 9:6:60 27:18:180 and 81: 54:540 .
What is the ratio?When comparing two or more numbers, the mathematical concept of ratio is applied. It is a comparison tool to show how large or tiny a given quantity is. A ratio compares two amounts by dividing them. Here, the dividend is referred to as the "antecedent" and the "consequent" is the divisor.
Make sure to multiply the denominator and numerator by the same value each time to keep getting equal ratios.
Three ratios that are equivalent to 3:2:20 are: 9:6:60
Multiply the ratios by 9
27:18:180 and 81: 54:540 .
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Help me figure this out please
Only relations a, c and e are functions.
Here, we are given 6 relations and we need to determine which of them are function.
The basic property of a function is that a function from a set X to a set Y assigns to each element of X exactly one element of Y.
a. In this relation all elements in A are assigned only one value in B, thus, this relation is a function.
b. In this relation -1 in A has two values in B, that is, 5 and 2. Thus, this relation is not a function.
c. In this relation all elements of the first set are assigned only one value in set 2, thus, this relation is a function.
d. In this relation, 9 in set 1 has two values in set 2, that is, 9 and 5. Thus, this relation is not a function.
e. In this, relation, from the graph, we can see that all the x values have exactly one y value corresponding to them. Thus, the relation is a function.
f. In this relation we see that when x = 2, y can be 2 or 7. Thus, this relation is not a function.
Hence, we conclude that only relations a, c and e are functions.
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Using Pythagoras’ theorem or trigonometric ratios
How much money did Annie actually spend?
Write a expression to represent the amount of money that Annie spent. Was
your estimation an overestimation or underestimation? Why do you
think that might be?
Considering Annie bought 5 pounds of apples, 4 pounds of oranges, and 3 pounds of bananas, and each pound of apple costed $1.75, orange $2.35 and bananas $1.50,
(i) Annie had to spend an exact amount of $22.65, to buy all the above mentioned fruits.
(ii) The amount of money that Annie spent on the fruits, can be represented by the expression [(1.75 * 5) + (2.35 * 4) + (1.50 * 3)]
(iii) Rounding the prices to the nearest whole dollar and estimating the total amount Annie spent, our estimation is an overestimation compared to the actual price Annie had spent.
As per the question statement, no information is provided about Annie's expenditure, and hence, we are considering that, Annie bought 5 pounds of apples, each pound costing $1.75, 4 pounds of oranges, each pound costing $2.35 and 3 pounds of bananas, each pound costing $1.50.
We are required to calculate:
(i) The exact amount Annie spent on the fruits.
(ii) A mathematical expression to represent the amount of money that Annie spent.
(iii) To determine whether it is an overestimation or underestimation if we round the prices to the nearest whole dollar and estimate the total amount Annie spent.
Starting with (i) and (ii),
Total amount Annie actually spent on her fruits
= [{(price of per pound apple) * (number of pounds of apple she bought)} + {(price of per pound orange) * (number of pounds of orange she bought)} + {(price of per pound banana) * (number of pounds of bananas she bought)}
= $[(1.75 * 5) + (2.35 * 4) + (1.50 * 3)]
= $(8.75 + 9.40 + 4.50)
= $22.65
And, the amount of money that Annie spent on the fruits, can be represented by the expression [(1.75 * 5) + (2.35 * 4) + (1.50 * 3)].
Now solving (iii), first, we need to round off the prices to the nearest whole dollar and then estimate the total amount Annie spent.
Now, $1.75 dollars rounded off the prices to the nearest whole dollar will become $2.
Similarly, $2.35 dollars rounded off the prices to the nearest whole dollar will become $2,
And, $1.50 dollars rounded off the prices to the nearest whole dollar will become $2.
That is, the rounded-off per pound cost of apples is $2, that of oranges is $2 and of bananas is also $2.
Therefore, on the same consideration that, Annie bought 5 pounds of apples, 4 pounds of oranges, and 3 pounds of bananas, the estimated total amount she spent on the fruits based on the above mentioned rounded-off per pound costs will be equal to
$[(2 * 5) + (2 * 4) + (2 * 3)] = ${10 + 8 +6) = $24
Since (24 > 22.60), thus, we can conclude that rounding-off the prices to the nearest whole dollar and estimating the total amount Annie spent, our estimation is an overestimation compared to the actual price Annie had spent.
Expression: In mathematics, an expression is a finite combination of terms containing number or variables or both, connected by operator symbols in between, that is well-formed according to rules of mathematics.Round-off: In Mathematics, rounding-off a number can be done to a whole number or decimal number, to make it simpler by keeping its value intact but closer to the next number.To learn more about Rounding-off and expressions, click on the link below.
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Write the first five terms of the sequence:
a(1) = 1, a(n) = 5(n-1), n ≥ 2
Answer: 5, 10, 15, 20, 25
Step-by-step explanation:
a(1)=1
a(2)=5(2-1)
a(2)=5
a(3)=5(3-1)
a(3)=10
a(4)=5(4-1)
a(4)=15
5, 10, 15, 20, 25
Please help me with this problem!
The measure of the angle indicated is as follows:
m∠S = 39°How to find angles?The measure of the angle indicated can be found using exterior angle theorem. The exterior angle theorem states that If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
Therefore,
m∠S + m∠T = 129
m∠S = -3 + 6x
m∠T = 11x + 13
Therefore,
129 = - 3 + 6x + 11x + 13
129 = - 3 + 13 + 6x + 11x
129 = 10 + 17x
129 - 10 = 17x
119 = 17x
x = 119 / 17
x = 7
Therefore,
m∠S = - 3 + 6(7) = -3 + 42 = 39°
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Lisa is on a trip of 4,178 miles. She has already traveled 154 miles. She has 8 days left in her trip. How many miles does she need to travel each day to complete the trip?
Answer:
is 2000:4 because they Miles se divide en 150
Which expressions below have exactly 4 terms before they are simplified?
Select ALL that apply
A 7-8 ÷ (16)(21)
B 7-8+16-22
C 15g+5-
D 15g-25z+5-3
E 9+13-17
Answer:
A B D
Step-by-step explanation:
C might be missing something.
but even without that it might be a trick question, as
15g + 5 could be considered to have the following terms :
15g
15
g
5
so, it depends on what convention your teacher defined with you. because internationally this is not precisely defined as my hint about 15g + 5 shows.
some people consider a multiplication or division a combination of several items into one term.
some don't.
some consider a multiplication or division a term, and then the parts of that again as terms (as in my example), and some don't.
it really depends on your teacher and his/her definitions.
It takes a printer 2.25 hours to print 1,080 pages. The printer prints pages at a constant rate.
How many pages per hour does the printer print?
Enter your answer in the box.
Answer:
480
Step-by-step explanation:
We want the unit rate in pages per hour, so we divide the number of pages by the number of hours.
1080 pages / 2.25 hours = 480 pages/hour
due now pls explain how you got the anser
The graph that shows the in the table is option (D)
From the table
The cost for hiring a plumber for zero hours = $50
The cost for hiring a plumber for 1 hours = $80
The cost for hiring a plumber for 2 hours = $110
The cost for hiring a plumber for 3 hours = $140
The domain is the set of all possible inputs.
The range is the set of all possible output
Here we have to plot the graph using the number of hours in the x axis and cost of hiring a plumber in y axis
The graph on option (D) matches the values in table. Because
At x= 0, y=50
At x= 1, y=80
At x= 2, y= 110
At x= 3, y= 140
Hence, the graph that shows the in the table is option (D)
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(Please help) Write an equation of the line
The equation of the line is y = -x + 3
How to find the equation of a line
Equation of a straight line is usually of the form y = mx + c
where:
m = slope
c = y intercept
slope = ( 5 - -2 ) / ( -2 - 5 )
= ( 5 + 2 ) / -7
= 7 / -7
= -1
The y intercept is found from the graph to be 3
the equation of lthe line is
y = -1 ( x ) + 3
y = -x + 3
Therefore the equation of the line as gotten from the graph is y = -x + 3
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On June 6, Regina purchases a multimedia computer system with a "Ninety DaysSame as Cash Plan." By what date must she pay the total purchase price?
If the balance must be paid in 90 days and the initial date is June 6, then there are 24 days untill June 30, plus 31 days for July makes 61 days. There are 29 days left, therefore, teh payment must be done on August 29.
6. A spool of ribbon has 100 meters(m) on it. How many millimeters does the spool of ribbon have?
In order to determine how many millimeters the spool has, you take into account the following identity:
1 meter = 1000 millimeters (1 m = 1000mm)
Then, you can proceed as follow:
100 m = 100(1m) = 100 (1000 mm) = 100,000 mm
where you have multiplied by 1000 the given quantity in meters, that is, you replace the unit meter (m) by its equivalence in millimeters (1000 mm)
That is, 100 meters are equivalent to 100,000 millimeters
Polly is an artist, and she sells posters at a local café. When she sells x posters, she makes f(x) dollars.
What does f(5)=10 tell you?
The expression f(5)=10 tells us that if Polly is an artist and sells posters at a local cafe then it means that Polly makes 10 dollars when she sells 5 posters.
According to the question,
We have the following information:
Polly sells x posters then she makes f(x) dollars.
We have the following expression:
f(5) = 10
So, it simply means that in place of x in f(x) we have f(5) then we have 5 in place of x.
f(x) is the amount made in dollars. So, the total amount Polly made is 10 dollars.
Hence, the expression f(5) = 10 clearly states that Polly sold 5 posters as an artist and made 10 dollars out of it.
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52.5% in fraction form
Answer: 105/2
Step-by-step explanation:
52.5 as a Fraction
52.5 = (?)
= (52.5/1) x (10/10)
= 525/10
= (105 x 5)/(2 x 5)
= 105/2
52.5 = 105/2
