Answer:
a) 1.892a
b.) 5.1x - 1.49y
1.) X = 0.36
2.) Y = 4.347
Car B went faster by 1.25 times
Step-by-step explanation:
a)2.15a+0.03∙(3.4a−12a)
Open the bracket
2.15a + 0.102a - 0.36a
2.252a - 0.36a
1.892a
b)3.27x+1.28y+1.83x−2.77y
Rearranged the algebraic expression above
3.27x + 1.83x + 1.28y - 2.77y
5.1x - 1.49y
1)22.5x−4.6=3.5
Collect the like term
22.5x = 8.1
X = 0.36
2)y÷2.3+5.69=7.58
Y/2.3 = 7.58 - 5.69
Y = 2.3 × 1.89
Y = 4.347
WORD PROBLEM: Car A went 60 km in 5/6 hours while car B went 54 km in 2/3 hours.
Which car was faster?
That's speed
Speed = distance/time
Speed A = 60 ÷ 5/6 = 72 km/h
Speed B = 54 ÷ 2/3 = 81 km/h
How many times faster?
5/6 ÷2/3
5/6 × 3/2
15/12
1.25 seconds faster
suppose 7,330 dollars is invested at 14.8% per annum for 10 years compounded monthly, how many dollars will be earned in interest during those 10 years, to the nearest cent
Answer:
$24,580.12
Step-by-step explanation:
Lets use the compound interest formula to solve:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 14.8% into a decimal:
14.8% -> [tex]\frac{14.8}{100}[/tex] -> 0.148
Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:
[tex]A=7,330(1+\frac{0.148}{12})^{12(10)}[/tex]
[tex]A=31,910.12[/tex]
Now subtract that number from our original amount invested:
[tex]31,910.12-7,330=24,580.12[/tex]
The dollars earned in interest is $24,580.12
NEED HELP PLEASE!!!!!!!!!!!!
Answer:
The answer is B. hope this helps
If slope is positive, what direction is the line going ?
Answer:
Step-by-step explanation:
A line has a positive slope if it is slanting upward, toward the right. A line has a negative slope if it is slanting upward, toward the left.
Mark As Brainlist Plz
Step-by-step explanation:
The line would be going up because when the slope is positive that the amounts are increasing, meaning when the slope is positive it’s going up and the opposite of when the slope is negative.
Find the area of the triangle.
13.9 km
20.6 km
Answer:
A≈143.17
Step-by-step explanation:
(happy to help)
Answer: 143.17
Step-by-step explanation: A = 1/2(l*w)
A = 1/2(286.34)
A = 143.17
Which of the following shows the correct order of the numbers?
..0.8
The correct answer is: A. -1.3, -1.2, 0.8, 0.9. Hence the correct option is a.
Start by comparing the negative numbers:
Since -1.3 is a smaller number than -1.2, we know -1.3 comes first.
Compare the negative numbers with the positive numbers:
All negative numbers are less than any positive number. Therefore, both -1.3 and -1.2 come before 0.8 and 0.9.
Compare the positive numbers:
Finally, compare 0.8 and 0.9. Since 0.9 is larger, it comes last.
Therefore, the order from least to greatest is: -1.3, -1.2, 0.8, 0.9. This corresponds to option A.
Complete and correct question:
Which of the following shows the numbers in order of least to greatest? 0.9, -1.2, -1.3, 0.8
A. -1.3, -1.2, 0.8, 0.9
B. -1.2, -1.3, 0.8, 0.9
C. 0.8, 0.9, -1.2, -1.3
D. 0.9, 0.8, -1.2, -1.3
Let's suppose a large triangle has a hole in the middle of it in the form of a rectangle, would you add the rectangle to the area of the triangle or subtract it from the area of the triangle to find the total area? *
Answer:
Subtract
Step-by-step explanation:
There is nothing but a rectangular hole on the triangle. Therefore, subtracting away a piece of the triangle.
Answer:
Add the area of a rectangle
Step-by-step explanation:
You would add a rectangle to the area of the triangle to fill in the missing hole(i think)
The Massachusetts Department of Employment and Training predicted that there will be 21% more jobs for computer programmers in Massachusetts in 2005 than there were in 1994.
There were 15,970 programming jobs in 1994.
Based on the prediction, about how many total jobs were there available in 2005?
Answer:
19,324
Step-by-step explanation:
The original amount is 100% of the original amount since 100% means a whole amount.
A 21% increase means that the new amount will be 100% + 21% = 121% of the original amount.
Now we calculate 121% of 15,970.
To find a percent of a number, multiply the percent by the number. First, divide the percent by 100 to change it into a decimal.
121% of 15,970 =
= 121% * 15,970
= 1.21 * 15,970
= 19,323.7
Answer:
19,324
2 square pyramids are stacked on their bases. The bases are 2 inches by 2 inches and each pyramid has a height of 3.25 inches.
A cardboard party favor is shaped like two square pyramids stuck together at their bases.
What is the approximate volume of the party favor?
4.3 in.3
8.7 in.3
12.9 in.3
26.1 in.3
Answer:
8.7
Step-by-step explanation:
I just did it and got it right
Answer:
8.7
Step-by-step explanation:
Mark as brainliest!!!!
Can you help me with this I will mark you Brainiest
Answer:
72 nickels
Step-by-step explanation:
First find the total price
.65+ 1.95+.99 = 3.59
The total price is 3.59
A nickel is worth .05 of a dollar
Divide the price by .05
3.59/.05
71.8
Round up
She will need 72 nickels
Simplify. Rewrite the expression in the form 5n.
5(2) x 5(5) =
To simplify the expression 5(2) x 5(5), we first calculate the result as 250. To rewrite this in the form 5n, we find a number n such that 5 times n equals 250, which is 50. Thus, the original expression can be written as 5(50).
Explanation:The question asks to simplify the given mathematical expression. The expression is 5(2) x 5(5). When we multiply the numbers in each parenthesis with 5, it simplifies to 10 x 25, which equals 250 when multiplied together. This answer, however, is not in the form of 5n.
To rewrite the answer in form of 5n, we need to find a number that, multiplied by 5, equals to our answer, 250. This number is 50, because 5 times 50 equals 250.
Therefore, the expression 5(2) x 5(5) equals 250 and can be rewritten in the form of 5n as 5(50).
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Find the unit rate. Round to the nearest hundredth, if necessary.
$1.99 for 15lb
Answer:
0.13 cents
Step-by-step explanation:
1.99 / 15 = 0.1326, rounded is 0.13
What is the following product
Answer:
2nd answer choice
Step-by-step explanation:
One way of doing this problem is to switch over to fractional exponents first.
The given product can be thought of as a square:
the square of (fifth root of 4x^2)
= [ fifth root of 4x^2 ]^2, or
= [(4x^2)^(1/5) ]^2, or
= [ (4x^(2/5) ]^2, or
= 16x^(4/5) This is equal to the 2nd answer choice.
Find the exact length of the third side
Phytagoras Theorem :
b² = c² - a²
b² = 50² - 40²
b² = 2500 - 1600
b² = 900
b = √900
b = 30
So, the exact length of the third side is 30
Hope it helpful and useful :)
4/9 of the visitors to the aquarium one afternoon were children, 2/5 were adults, and the rest were senior citizens. If there were 180 people altogether, how many were senior citizens?
Answer:
28 were senior citizens
A common denominator between 9 and 5 is 45.
4 ·5 20 2 ·9 18
9 ·5 45 5 ·9 45
20/45 + 18/45 is 38/45
38/45=x/180
solve for x
38 ·4= 152
45 ·4= 180
152 out of the 180 visitors were NOT senior citizens.
180-152=28
28 visitors were senior citizens
Hope this helped :)
Determine which Two values the following number is between ? Roots
Answer:
3.30 and 3.32? I think
Step-by-step explanation:
The [tex]\sqrt{11}[/tex] = 3.31
Find the length of side x in simplest radical form with a rational denominator.
Answer:
this looks hard but x can mean area or other
Which statement is true? Click on pic. above.
Which of the following could be the equation of the function below? On a coordinate plane, a curve crosses the y-axis at y = negative 1.5. It has a maximum at negative 1.5 and a minimum at negative 2.5. It goes through 2 cycles at pi.
Answer:
y = 0.5 cosine (4 (x - pi/2)) - 2
Step-by-step explanation:
Four friends each bought a movie ticket and two boxes of candy at a movie theater. The tickets were $ 7.50 and the boxes of candy cost the same amount. If the total cost for all four friends was $ 58.00, what was the price of one (1) box of candy.
Answer:
$7
Step-by-step explanation:
58-7.50x4=30 58-30=28/4=7
need help plz
What is true of the data in the dot plot? Check all that apply.
Number of Minutes for Each Commercial Break
The center is 3.
The peak is 5.
There are no gaps.
It is symmetric.
It is skewed right.
The spread is from 1 to 5.
There were 14 commercial breaks.
Answer:
The center is 3.
It is symmetric
The spread is from 1 to 5.
There were 14 commercial breaks.
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information:
1 has 3 dots2 has 0 dots3 has 8 dots4 has 0 dots5 has 3 dotsLet analyse all the answers:
1/ The center is 3 True
2/The peak is 5 Wrong, the peak is 3
3/ There are no gaps. Wrong because the gap is at 4 and 2
4/ It is symmetric. Yes
5/ It is skewed right. Wrong because it is symmetric.
6/ The spread is from 1 to 5. True
7/ There were 14 commercial breaks. Yes because the total number of dots is 14
Hope it will find you well.
Answer:
The center is 3.
It is symmetric
The spread is from 1 to 5.
There were 14 commercial breaks.
Step-by-step explanation:
Add or Subtract polynomial expressions
Answer:
x³ + x² + 4x + - 4
Step-by-step explanation:
Remove the parentheses and simplify. Expand the negative sign for the second phrase in parentheses.
-x³ + 2x² - x + 2 + 2x³ + 5x - 1 - x² - 5
x³ + x² + 4x + - 4
Circle D is shown. Angle A C B intercepts arc A B. Arc A B has a measure of 76 degrees. What is the measure of AngleC ? 38° 76° 90° 152°
The measure of angle C is 38 degrees
What are angles?Angles are the measure of space between intersecting lines or rays
The measure of the arc is given as:
Arc AB = 76 degrees
The angle at the center is half the angle at the circumference.
So, we have:
Angle C = 0.5 * 76 degrees
Angle C = 38 degrees
Hence, the measure of angle C is 38 degrees
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Answer:
A) 38
<C = 38
Step-by-step explanation:
Find the scale factor of the figures below from left to right given the volume of each .
Explanation:
The volumes are in the ratio 3625:783 which reduces fully to 125:27 after dividing both parts by the GCF 29.
Both 125 and 27 are perfect cubes because 125 = 5^3 and 27 = 3^3
Therefore, the volume ratio 125:27 turns to the linear scale factor ratio 5:3
If you were to cube both sides of the linear ratio 5:3, you would get the volume ratio 125:27. Cube rooting both sides will have you go in reverse.
HELP PLEASE!
The LA theorem says that two right triangles will be congruent if they have a congruent ____ and a congruent leg
A fair six sided die is rolled twice.
Calculate the probability of rolling an even number and then a 3.
Give your answer as a fraction in its simplest form.
Answer:
1/12
1/2 x 1/6 = 1/12
half of the numbers are even and 1/6 o the numbers is 3.
Step-by-step explanation:
The probability of rolling an even number and then a 3 is,
⇒ 1 / 12
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Now, the probability of rolling an even number on the first roll.
Then, There are three even numbers 2, 4, and 6 out of the 6 possible outcomes,
so the probability of rolling an even number on the first roll is,
= 3/6,
= 1/2
And, For the probability of rolling a 3 on the second roll.
There is only one outcome that will result in a 3 out of the six possible outcomes,
so the probability of rolling a 3 on the second roll is 1/6.
Now we can multiply the two probabilities together to find the probability of rolling an even number on the first roll and then a 3 on the second roll:
1/2 x 1/6 = 1/12
Hence, the probability of rolling an even number and then a 3 is,
⇒ 1 / 12
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Help me with this math its probably easy for a lot of you guys
Answer:
1.5
Step-by-step explanation:
Since an object submersed in a fluid displaces its volume in fluid, you can calculate the volume of the ring by measuring how much water it displaces. When the ring is dropped in, the length and width of the container stay the same, while the height increases by 0.25. 0.25*3*2=1.5 cubic inches. Hope this helps!
is 15/5 a whole number, integer, rational, or irrational number?
Answer:
integer
Step-by-step explanation:
The answer is 3 which is a whole number so is also an integer and thus inturn a rational number.
What are integers, whole numbers and rational numbers?An integer is the number zero, a positive natural number or a negative integer with a minus sign. The whole numbers are the numbers without fractions and it is a collection of positive integers and zero. rational numbers are numbers that can be represented as the quotient p/q of two integers such that q ≠ 0.
Given here, 15/5=3 and thus the number
3∈ whole numbers ∈Integers ∈rational numbers
Hence, The answer is 3 which is a whole number so is also an integer and thus inturn a rational number.
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HI I NEED HELP PLS I SO DUMB TO DO THIS PLS HELP!!
Answer:
see below
Step-by-step explanation:
Angles are named with the vertex listed in the middle of the three letters. For example, ∠AFB is formed by rays FA and FB. Point F is the vertex of the angle, where the rays meet.
Adjacent angles share a ray. Generally the shared ray will be the only ray between the other two rays identifying the angles. For example, ∠AFB and ∠BFC (or ∠CFB) are considered to be adjacent because shared ray FB is between rays FA and FC.
Given the names of two angles, you can look to see if any of the rays are shared.
Looking at the next answer choice, ∠AFB and ∠CFD we see that the rays involved in the first angle are FA and FB; in the second angle they are FC and FD. There are no common rays here, so these angles are not adjacent.
∠BFC and ∠CFD share ray FC. They are adjacent.
∠BFC and ∠DFE have no shared rays.
∠CFD and ∠DFE share ray FD. They are adjacent.
4.10^6 is how many times as large as 1.10^4
Answer:
100 times as large
Step-by-step explanation:
If the base is 10, it is really easy to find this out.
First, what is the difference between 6 and 4? 2
Each higher exponent, the value multiplies by 10.
Remember that the the difference between the exponents is the number of zeros in the answer if the base number is 10.
2 zeros = 100
The data in the table below for my function. What values in the table would change the relation to NOT be a function?
A) (1,9)
B) (-3,7)
C) (9,4)
D) (6,5)
If we add pair D (6, 5) to the table, then it stops representing a function.
What values in the table would change the relation to NOT be a function?
A relation is not a function if we can see that we have a input that is mapped into two (or more) different outputs.
Notice that in the table we already have an entry with the input x = 6, so we can't add another entry like:
(6, 5)
Because then, the table wouldn't be a function.
Then the correct option is D.
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