Answer:
The answer is B [tex]4^{6}[/tex].
Step-by-step explanation:
The number of horses is given by the expression;
[tex](4^{2} )^{3} *4^{0}[/tex]
First we can simplify the value to the left of the multiplication,
[tex](4^{2} )^{3}[/tex]
This is a indices multiplication so we can rewrite this as,
[tex]4^{6}[/tex]
Now we can look at the value that is to the right of the multiplication.
[tex]4^{0}[/tex]
If you take any number that is not 0 and it's index is 0 the value of that number will be one.
Therefore, [tex]4^{0}[/tex] = 1
Now we can write the full expression as;
[tex](4^{2} )^{3} *1[/tex]
=[tex](4^{2} )^{3}[/tex]
=[tex]4^{6}[/tex]
Therefore the answer is B [tex]4^{6}[/tex].
give that angle CFE is congruent to CFA, the measure of angle AFB = 23° and the measure of angle EFD = 69°, find the measure of angle EFB.
Answer:
m∠EFB = 157°
Step-by-step explanation:
We are given that m∠CFE = 90°
m∠AFB = 23° so;
m∠BFC = 90° - 23° = 67°
m∠EFB = m∠CFE + m∠BFC = 90° + 67° = 157°
Answer:
D. 157°
Step-by-step explanation:
Angle CFE is a right angle, as can be seen in the figure. So, m∠CFE = 90°. Two angles are congruent when they are equal. This means that angle CFE is equal to CFA, i. e., m∠CFA = 90°. Figure shown that m∠AFB + m∠BFC = m∠CFA. If m∠AFB = 23°, then, m∠BFC = 67°. It's also shown in the figure that m∠EFB = m∠CFE + m∠BFC. So, m∠EFB = 90° + 67° = 157°
Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?
2.0 mph
3.3 mph
5.0 mph
10.0 mph
Answer : 2.0 mph
Haji rows his canoe 10 mph in still water
Speed of still water = 10 mph
Let the speed of the current = x
Upstream speed = 10 - x
Downstream speed = 10+x
Upstream Distance = 4 miles
Downstream Distance = 6 miles
[tex]Time = \frac{Distance}{speed}[/tex]
Time taken on upstream = [tex]\frac{4}{10-x}[/tex]
Time taken on downstream = [tex]\frac{6}{10+x}[/tex]
Same time taken for both upstream and downstream
So [tex]\frac{4}{10-x} = \frac{6}{10+x}[/tex]
Cross multiply it
4(10+x) = 6(10-x)
40 + 4x = 60 -6x
Add 6x and subtract 40 on both sides
10x = 20 (divide by 10)
x= 2
So speed of the current = 2.0 mph
The approximate speed of the current that day is 2.0 mph.\
The correct option is A.
Given
The speeds of the current = x
Upstream speed = 10 - x
Downstream speed = 10+x
Upstream Distance = 4 miles
Downstream Distance = 6 miles
What is speed?Speed is defined as the fraction of the total distance and time taken to complete it.
The following formula is used to calculate speed;
[tex]\rm Speed =\dfrac{Distance}{Time}[/tex]
Therefore,
The approximate speed of the current that day is;
[tex]\rm = \dfrac{Upstream \ distaance}{Upstream \ speed}= \dfrac{downstream \ distaance}{downstream \ speed}\\\\ \dfrac{4}{10-x}=\dfrac{6}{10+x}\\\\4(10+x)=6(10-x)\\\\40+4x=60-6x\\\\4x+6x=60-40\\\\10x=20\\\\x= \dfrac{20}{10}\\\\x=2[/tex]
Hence, the approximate speed of the current that day is 2.0 mph.
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The cost to rent a hall for alysa’s sweet sixteen birthday party is $300. Her mom said she must keep the party cost to no more than $5.00 a person. She watched her mom write an expression on her notes that is listen below. What does the variable represent in this expression. 300+200/x
In the expression 300 + 200/x for Alysa's party, the variable 'x' stands for the number of attendees to ensure the party cost stays within the $5.00 per person limit.
In the expression 300 + 200/x, the variable x represents the number of people attending Alysa's sweet sixteen birthday party.
Alysa's mom has set a maximum cost of $5.00 per person, and the total cost for renting the hall is $300, which is a fixed cost. To ensure the party cost does not exceed $5.00 per person, the cost per person is calculated by dividing the additional $200 by the number of attendees (x).
An offical handball has a diameter of 4.8 centimeters whats the volume ?
Hello!
AnswerThe volume of the handball is 57.91 [tex]cm^{3}[/tex]
_________________________________________________ExplanationUse the formula to calculate the volume.
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
V = [tex]\frac{4}{3}[/tex] × [tex]\pi[/tex] × [tex]2.4^{3}[/tex]
V = 57.91 (Rounded to the nearest hundredths)
Brenda finish 1/3 of a friendship bracelet 1/2 of an hour at this rate how many bracelets can she finish in 1 hour
Brenda is able to complete 2/3 of a friendship bracelet in one hour, based on the rate given in the question.
Explanation:This question deals with rate and time, key concepts in Mathematics. Brenda can finish 1/3 of a bracelet in 1/2 hour, which means she completes 2/3 of a bracelet in one hour. Let me explain why.
We start with the given rate: 1/3 bracelets per 1/2 hour. To find out how many bracelets Brenda can complete in 1 hour, we simply multiply this rate by 2 (as 1 hour is equivalent to two 1/2 hours). Therefore, Brenda can complete (1/3 bracelet/1/2 hour) x 2 = 2/3 of a bracelet in one hour.
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the skunk sprayed people 70% of the people he saw on his walk. if he saw a total of 30 people,how many people did he spray?
The skunk sprayed 21 people.
He sprayed 21 people.
Explanation: 30/100=0.3 ((1% of 30 is 0.3))
0.3x70(%)= 21
A cafeteria has two sodas. On machine has the following flavors: cola, root beer, and lime. The second machine has a lemon, orange, cola, and cherry. Which set represents all flavors in the two machines?
Answer:
The guy above is completely correct.
Just in case if no one believes him.
Step-by-step explanation:
Please give him brainliest.
If a^2-b^2=648 and (a-b)=24, what is the value of (a+b)
F.21
G.24
H.25
J.26
K.27
K.27. This is because if you were to factor a^2-b^2, you get (a+b)(a-b)=648. If you substitute a-b for 24, it would lead the equation to be 24(a+b)=648. Divide 24 from both sides to get the answer.
To find the value of (a+b), substitute a-b into the equation [tex]a^{2} - b^{2} = 648[/tex] and solve for (a+b). The value of (a+b) is 27, i.e., option K.
Explanation:To find the value of a+b, we can use the formula for the difference of squares: [tex]a^{2} - b^{2} = (a+b)(a-b)[/tex]. Given that a-b = 24, we can substitute this value into the equation. So, we have:
648 = (a+b)(24)
Now, divide both sides of the equation by 24 to isolate (a+b):
(a+b) = 648/24 = 27. Therefore, the value of (a+b) is 27.
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8(x+6)−10+r=3(x+12)+5x
Answer:
ne solution was found :
r = -2
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8*(x+6)-10+r-(3*(x+12)+5*x)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((8•(x+6))-10)+r)-(3•(x+12)+5x) = 0
Step 2 :
Equation at the end of step 2 :
((8 • (x + 6) - 10) + r) - (8x + 36) = 0
Step 3 :
Equation at the end of step 3 :
r + 2 = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : r+2 = 0
Subtract 2 from both sides of the equation :
r = -2
One solution was found :
r = -2
Step-by-step explanation:
please help me, thanks :))
In order to answer this question, you must convert each number into 3 different fractions. This can be done by multiplyhing the number by the denominator (The denominator is the bottem part of the fraction) as you go up, for example, for 2 , you can make it into a 4/2, due to the denominator being 2, you multiply it by 2, and there you go, you made a fraction that equals the number. You can do this with the rest of these, although for number 11, its pretty much the same thing, just by dividing the new denominator with the old one then multiplying that new number by the numerator to get your fraction.
What is 5458258525 times (868)
The correct answer is 4737768399700 Hope this helps!
it equals 7.7377684
A motorboat traveling with the current went 80 miles in 4 hours. Against the current, it took 5 hours to travel the same distance. Find the rate of the motorboat in calm water.
Let x be the speed of the motorboat and y be the speed of the current.
Then, for downstream, the speed is x + y.
Now, speed = distance/time.
Distance = 80 miles.
Time for downstream = 4 hours.
So, x + y = 80/4 = 20 (1)
Against the current, that is for upstream, the speed is x - y.
Time for upstream = 5 hours.
x - y = 80/5 = 16 (2)
Adding (1) and (2), we get,
2x = 36
x = 18
Hence, rate of the motorboat in calm water = 18 miles/hour.
A costume designer has 36 bat buttons and 18 black cat buttons she must use to create costumes. In her costumes, she used both bat and cat buttons. what is the largest number of costumes she can make?
A costume designer has 36 bat buttons and 18 black cat buttons she must use to create costumes
To find the largest number of costumes we take GCF
GCF gives the largest and greatest number of grouping
WE find GCF of 36 and 18
1, 2, 3, 6, 9, 18 are the factors of 18
1, 2, 3, 4, 6, 9, 12, 18, 36 are the factors of 36
Greatest common factor GCF is 18
So , 18 is the largest number of costumes she can make.
what is the value of x to the nearest tenth the figure is not you scale x=2.1 x=3.4 x=9.6 x=13.1
Answer:
the answer is x = 9.6
Step-by-step explanation:
Answer:
the answer is
C - X=9.6
Step-by-step explanation:
write the number with the same value of 32 tens
32 tens is the same as 320.
hope that helps :)
Find the distance between points M(6, -16) and Z (-1, 14) to the nearest tenth.
Distance = √((x2-x1)^2 + (y2-y1)^2)
Distance = √((-1 - 6)^2 + (14 - -16)^2)
Distance = √( -7^2 + 30^2)
Distance = √(49 + 900)
Distance = √949
Distance = 30.8
23.61 divided by 5.1
The answer is 4.269 cause if You do it the long divison way you will see how
plz answer most point
its D or the 4th answer
find the prime factorizations foor the following numbers 36 and 84
In Bluepoint, the average low temperature for January was 40 °F. The average low in February was 27% lower. What was the average low in February?
The average low temperature for January was 40 °F - 100%.
The average low in February was x °F - 27% lower, that is 100%-27%=73%.
Write a proportion:
[tex]\dfrac{40}{x}=\dfrac{100}{73},\\ \\x=\dfrac{73\cdot 40}{100},\\\\x=29.2[/tex]
Answer: the average low in February was 29.2 °F.
a customer bought 8.5 pounds of apples from a local produce market. how many ounces of apples did the customer buy?
A:112
B:128
C:120
D:136
please show work
To convert pounds to ounces, you can use the conversion factor of 1 pound = 16 ounces. Therefore, 8.5 pounds of apples equates to 136 ounces. The correct answer is D: 136.
Explanation:The subject of this question is mathematics. Specifically, it revolves around the concept of units conversion. To convert from pounds to ounces, we use the conversion factor that 1 pound is equivalent to 16 ounces.
Given in the question, the customer bought 8.5 pounds of apples. To find out how many ounces this translates to, we need to multiply 8.5 by 16.
The calculation is as follows:
8.5 pounds * 16 ounces/pound = 136 ounces
So, the customer bought 136 ounces of apples. Therefore, the correct answer is D: 136.
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Tommy is taking inventory in a warehouse. He’s counting tennis shoes. There are 43 pairs of women’s tennis shoes and 39 pairs of men’s tennis shoes. How many pairs of tennis shoes are there in all?
72?76?80?82?
43+39=82
hope this helps!
Answer:
43 + 39 = 82
Step-by-step explanation:
amount of mens shoes plus amount of womens shoes
Devaughn's age is three times Sydney's age. The sum of their ages is 84 . What is Sydney's age?
the answer is 21 years old
Complete the second equation below so that the terms in the system align.
The equation is 3x+2y= -22
Answer:
It's -3x+2 y=-22
Step-by-step explanation:
I just did on e2020
write a question about 7 ones and 8 groups of 10
which function in the vertex form is equivalent to f(x)=x^2+6x+3
Answer:
B. f(x) = (x + 3)2 − 6
Step-by-step explanation:
Answer:
[tex]f(x)=(x+3)^2-6[/tex]
Step-by-step explanation:
We have been given a function [tex]f(x)=x^2+6x+3[/tex]. We are asked to find the function equivalent to our given function in vertex form.
To convert our given function in vertex form, we need to complete the square for our given function as:
Add and subtract [tex](\frac{b}{2})^2[/tex] from equation:
[tex](\frac{b}{2})^2=(\frac{6}{2})^=3^2=9[/tex]
[tex]f(x)=(x^2+6x+9)+3-9[/tex]
[tex]f(x)=(x^2+2\cdot 3x+3^2)-6[/tex]
[tex]f(x)=(x+3)^2-6[/tex]
Therefore, the [tex]f(x)=(x+3)^2-6[/tex] is equivalent to our given function in vertex form.
Enter the number that belongs in the green box.
The number that belongs in the green box is 2.
Explanation:Based on the information provided, which relates to probability and the use of a calculator, we can assume the question pertains to Mathematics, likely within a Middle School curriculum where basic probability and calculator skills are taught.
When dealing with shuffled cards or marbles in a bag, one typically calculates probabilities or expected outcomes
There are a total of eight cards: five green cards and three yellow cards.
Since the cards are well shuffled, the probability of drawing a green card is 5/8.
The probability of drawing a yellow card, in this case, would be 3/8.
Since the green cards are marked with the numbers 1, 2, 3, and 4, the number that belongs in the green box would be 2.
Final answer:
To find the number in the green box, calculate the ratio of green cards to total cards.
Explanation:
The number that belongs in the green box can be found by calculating the ratio of green cards to total cards. In this case, there are 5 green cards out of 8 total cards. To find the number that belongs in the green box, we can use the formula:
Number in green box = green cards / total cards
Number in green box = 5 / 8
Using a calculator or simplifying the fraction, we find that the number in the green box is 5/8 or approximately 0.625.
Hey can anyone help me? I just need help with the bottom table.
The question asks how many hours each person worked, and how much they earned, or basically they're asking for the right two columns to be filled in. (Total hours = how many hours each person worked, and Total pay = how much they earned)
Now let's recall the information which is given.If we look at the table, we can see we're given information for each person, Sue, Bob, and Chris. We're given their rate per hour, and the numbers of hour they worked for each day.
Now that we've looked at that, we can connect the information we're given and what the question is asking.The two things we are looking to calculate can correspond with a part of information we're given:
Total Hours <-> hours worked each day: we can see these connect as the total hours work (I'm assuming) are weekly, and to calculate the total hours worked we can look the hours worked for each day as days make up weeks. Therefore, if you just add the number of hours worked on Monday, Tuesday, Wednesday, Thursday, and Friday together, you get the total hours worked in the week.Total Pay <-> rate per hour and total hours: the total amount of pay can be calculated once we know the rate per hour and the total hours. The rate per hour is based off of the hours, it's how much is earned every hour, and the total hours include the total amount of hours worked. Therefore, if you multiply the two together you'll get the total pay. (Multiplying is essentially adding a number, another number of times, in this case it's adding the pay rate, the total hours amount of times.)Now that we know how they're connected, and therefore how to solve the equation, we can complete the calculations.Find the total hours worked for each person:
Sue: Monday: 3.5 hours, Tuesday: 10.5 hours, Wednesday: 5.25 hours, Thursday: 6 hours, Friday: 12 hours. 3.5 + 10.5 + 5.25 + 6 + 12 = 37.25 total hours workedBob: Monday: 5 hours, Tuesday: 3.5 hours, Wednesday: 7.75 hours, Thursday: 5.5 hours, Friday: 10.25 hours. 5 + 3.5 + 7.75 + 5.5 + 10.25 = 32 hours total workedChris: Monday: 6.5 hours, Tuesday: 7.25 hours, Wednesday: 9.5 hours, Thursday: 3.5 hours, Friday: 3.5 hours. 6.5 + 7.25 + 9.5 + 3.5 + 3.5 = 30.25 hours totalWe have now calculated the total hours for each person. You can therefore fill in the column of total hours, starting from the top, with 37.25 hours, then 32 hours, and finally 30.25 hours.
The final step is to calculate the total pay for each person.As I stated earlier, the only thing needed to do to find the total pay is to multiply the total hours my the rate per hour.
Sue: $16.50 per hour, 37.25 hours. 16.50 * 37.25 = $614.625, rounds up to $614.623Bob: $11.25 per hour, 32 hours. 11.25 * 32 = $360 dollarsChris: $14.50 per hour, 30.25 hours. 14.5 * 30.25 = 438.625, rounds up to $438.63Now we have all our solutions. For the total hours column, top to bottom: 37.25 hours, 32 hours, 30.25 hours. For the total pay column, top to bottom: $614.623, $360, $438.63Hope this helped!Multi-step: Glen finds the sum of (3 3/10 + 4 1/3) + 2 1/2 and Ana finds the sum of (4 1/3 + 3 3/10) + 2 1/10. What is the total sum if their answers?
Step-by-step explanation:
This is what I could do please
12/84 as a unit fraction?
Simplify [tex]\frac{12}{84}[/tex], 84 ÷ 12 = 7, so, [tex]\frac{12}{84}[/tex] as a unit fraction equals; [tex]\frac{1}{7}[/tex]
~
1/7
This is because 84 is divisible by 12 and that would leave 7 in the denominator with 1 on top