Answer:
22 people with red shirts and 10 people with yellow shirts
What is the product?
Answer:
Option D =[6 18] is the correct answer
Step-by-step explanation:
Given that:
[4 2] * [-2 5; 7 -1]
For taking product:
above matrices are okay for multiplication as number of columns of first matrix are equal to number of rows of second matrix.So it will be done as follows:= [4*-2 + 2*7 4*5 + 2*-1]
=[-8 + 14 20 + (-2) ]
=[6 18]
i hope it will help you!
If 2x - 1 = 6, what is the value of 4x^2 - 1
Answer:
48
Step-by-step explanation:
2x-1=6
2x=6+1
2x=7
x=7/2
------------
4x^2-1
4(7/2)^2-1
4(49/4)-1
49-1
48
Answer: 48
Step-by-step explanation:
2x - 1 = 6
Add 1 to both sides of the equation , we have:
2x = 7
divide through by 2
x = 7/2
The value of [tex]4x^{2}[/tex] - 1 will be calculated by substituting in the value of x , that is
[tex]4x^{2}[/tex] - 1 = 4([tex](\frac{7}{2} )^{2}[/tex] - 1
= 4([tex]\frac{49}{4}[/tex]) - 1
= 49 - 1
= 48
What is 0.46% of 80?
The 0.46 percentage of the number 80 is 0.368 .
Given data:
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %.
The percentage value is represented as p.
The value of p = 0.46%
So, p = 0.0046
The number is represented as q.
The value of q = 80
Now, A = p * q
On simplifying the equation:
A = 0.0046 * 80
A = 0.368
Hence, the percentage value is 0.368
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5 3⁄10 hectometers = meters
Answer:
[tex]\large\boxed{5\dfrac{3}{10}\ hectometers=530\ meters}[/tex]
Step-by-step explanation:
[tex]PREFIXES\\\\mega\ (M)=10^6\\\\kilo\ (k)=10^3\\\\hecto\ (h)=10^2\\\\deko\ (da)=10\\\\decy\ (d)=10^{-1}=0.01\\\\centi\ (c)=10^{-2}=0.01\\\\mili\ (m)=10^{-3}=0.001\\\\mikro\ (\mu)=10^{-6}=0.000001[/tex]
[tex]5\dfrac{3}{10}=5.3\\\\1\ hectometers=100\ meters\qquad(1\ hm=100m)\\\\5\dfrac{3}{10}\ hm=5.3\ hm=5.3\cdot100\ m=530\ m[/tex]
ASAP PLS I MUST PASS THIS 25 POINTS
You are going on a rod trip! You drive to your best friend’s house and then get on the highway. After 2.5 hours, you had traveled a total of 135 miles. You can average 50 miles per hour after you leave your friend’s house. Which of these equations best shows the distance you have gone since you left your house?
top left i guessed and got it correct
Answer:
A is correct so technically the top left hope this helps
Step-by-step explanation:
Simplify 4 squared plus 25
Hello! Can someone please help me solve this? its very hard for me.
Answer:
16990.616 $ you can expect to have in your account after five years.
Step-by-step explanation:
Given that,
Amount invested is principal amount (p) = $ 15000
Annual rate of interest (r) = 2.5% = 0.025
Compounded quarterly (n) = 4
Sum of the amount after 5 years (t)
We know that from compound interest formula,
[tex]\text { Final amount }(\mathrm{A})=P\left(1+\frac{r}{n}\right)^{n t}[/tex]
To find the final amount substitute the given values in the above formula,
[tex]\text { Final amount }(\mathrm{A})=15000\left(1+\frac{0.025}{4}\right)^{4 \times 5}[/tex]
[tex]\text { Final amount }(\mathrm{A})=15000\left(1+6.25 \times 10^{-3}\right)^{20}[/tex]
[tex]\text { Final amount }(\mathrm{A})=15000(1.00625)^{20}[/tex]
[tex]\text { Final amount }(\mathrm{A})=15000 \times 1.132707738[/tex]
Final amount (A) = 16990.62
The final amount that he can expect is $ 16990.62.
Which of the following are roots of the polynomial function?
Check all that apply.
(x) = x2 - 6x + 7x-2
Answer:
x=1, -2
Step-by-step explanation:
x^2-6x+7x-2
x^2+x-2
factor out the trinomial,
(x-1)(x+2)
zero property
x-1=0, x+2=0,
x=0+1=1
x=0-2=-2
17. Match each example with the appropriate property.
1. × + (-×) = 0
2. × + 0 = x
3. × . 1
4. × . 1 = x
A. Mutiplicative identity
B. Mutiplicative inverse
C. Additive identity
D. Additive inverse
Answer:
x+(-x)=0 matches D. Additive inverse (When you add at any number its inverse value, the result is allways 0 - zero- example : 3 + (-3) =3 -3 =0.x+ 0 =x matches C. Additive identity (Zero is a neutral element in any sum, then, if you add zero to any number, the number remains the same, example: 3 + 0 =3)(sorry, I understand that this expression may be not well copied) x. (1/x) = 1 matches B. multiplicative inverse (multiplicative inverse is that number that when multiply with our originalnumber,in this case x will give us the number 1 - example: the multiplicative inverse of 3 is [tex]\frac{1}{3}[/tex], because [tex]3\frac{1}{3}=1[/tex].x . 1 = x matches A. Multiplicative identity (One is the neutral element of multiplication, thenif you multiply any number by 1, it remains the same, example: 3 . 1= 3)The population of a rural city follows the exponential growth model P(t)=2900e^0.039t where t is the number of years after 1990. What was the population in the year 1990?
Answer:
2900
Step-by-step explanation:
Very easy. Evaluate P(0).
P(0) = 2900e^0.039(0) = 2900e^0 = 2900(1) = 2900
Find an equation of the line containing the given pair of points.
(4.6, -8) and (6.6, 2.2)
The equation of the line containing the given pair of points (4.6 , -8) and (6.6 , 2.2) is y = 5.1 x - 31.46
Step-by-step explanation:
The equation of a line is y = m x + b, where
m is the slope of the line, [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] , where [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are 2 points lie on the lineb is the y-intercept, to get it substitute x and y in the equation by the coordinates of one of the 2 given points∵ The line contains the points (4.6 , -8) and (6.6 , 2.2)
∴ [tex]x_{1}[/tex] = 4.6 and [tex]x_{2}[/tex] = 6.6
∴ [tex]y_{1}[/tex] = -8 and [tex]y_{2}[/tex] = 2.2
∵ [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
- Substitute the values above in the rule of m
∴ [tex]m=\frac{2.2-(-8)}{6.6-4.6}=\frac{2.2+8}{2}=\frac{10.2}{2}=5.1[/tex]
∴ The slope of the line is 5.1
∵ The equation of a line is y = m x + b
Substitute m by 5.1
∴ y = 5.1 x + b
To find b substitute x and y by the coordinates of point (4.6 , -8) OR point (6.6 , 2.2)
∵ x = 6.6 and y = 2.2
∴ 2.2 = 5.1(6.6) + b
∴ 2.2 = 33.66 + b
- Subtract 33.66 from both sides
∴ -31.46 = b
∴ y = 5.1 x + (-31.46)
∴ y = 5.1 x - 31.46
The equation of the line containing the given pair of points (4.6 , -8) and (6.6 , 2.2) is y = 5.1 x - 31.46
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Suppose you have a coin collection of dimes and quarters containing 46 coins. If you have 6.70 dollars, how many of each type of coin do you have?
Answer:
The number of dimes = 32
The number of quarters = 14
Step-by-step explanation:
Here, the total number of coins combined = 46
Let us assume the number of dimes = m
So, the Number of quarter = Total Coins - Number of dimes = 46 - m
Now,as we know:
1 dime = $0.1
So, m dimes = m x ($0.1) = $(0.1 m)
1 Quarter = $0.25
So, ( 46 - m ) Quarters = (46 - m ) x ( $ 0.25) = 11.5 - 0.25 m
Also, given the total amount of coins = $ 6.70
⇒ Value of (Dimes + Quarters) = $ 6.70
or, (0.1 m) + 11.5 - 0.25 m = 6.70
-0.15 m = - 4.8
or, m = 4.8/0.15 = 32
⇒ m = 32
Hence, the number of dimes = m = 32
And the number of quarters = 46 - m= 46 -32 = 14
Write and solve 7 less than the product of 4 and 6
Answer:
7<24
Step-by-step explanation:
I'm bad at explaining but I hope this helps if I'm actually right
7<4×6
7<24
The required inequality for 7 less than the product of 4 and 6 is 7 < 24.
Equality is determined for statement 7 less than the product of 4 and 6.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
The statement states that 7 is less than the product of 6 and 4
Now,
the product of 6 and 4 = 6 * 4 = 24, Implies
7 < 24
Thus, the required inequality for 7 less than the product of 4 and 6 is 7 < 24.
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From a standard deck of cards you draw 4 cards. Find the probability of drawing 2 red and 2 black cards.
Answer:
P=0.39
Step-by-step explanation:
We use the Hypergeometric distribution to find the probability
The normal deck of cards has 52 cards, 26 red and 26 black
Taking 4 cards out of the whole deck can be done (without replacement) in
[tex]\begin{pmatrix}52\\4\end{pmatrix}[/tex]
different ways .
Taking 2 red cards can be done in
[tex]\begin{pmatrix}26\\2\end{pmatrix}[/tex]
different ways. Same applies to the black cards
So, the required probability can be computed as
[tex]P=\frac{\begin{pmatrix}26\\2\end{pmatrix}\begin{pmatrix}26\\2\end{pmatrix}}{\begin{pmatrix}52\\4\end{pmatrix}}[/tex]
[tex]{\begin{pmatrix}52\\4\end{pmatrix}}=\frac{52!}{4!48!}=270725[/tex]
[tex]{\begin{pmatrix}26\\2\end{pmatrix}}=\frac{26!}{2!24!}=325[/tex]
[tex]P=\frac{325x325}{270725}=0.39[/tex]
Given that 2/3a = 16, which of the following illustrates how the multiplicative inverse
property can be used to find the value of a?
Since the multiplicative inverse of a fraction p/q is the fraction that swaps its numerator and denominator, i.e. q/p, we have that the inverse of 2/3 is 3/2.
So, if we multiply both sides of the equation by 3/2, we have
[tex]\dfrac{3}{2}\cdot\dfrac{2}{3}a=16\cdot\dfrac{3}{2}[/tex]
3/2 and 2/3 are multiplicative inverse of each other, and by definition this means that they give 1 when multiplied:
[tex]\dfrac{3}{2}\cdot\dfrac{2}{3}a=1\cdot a=a=16\cdot\dfrac{3}{2}[/tex]
On the right hand side, we have
[tex]16\cdot\dfrac{3}{2}=8\cdot 3=24[/tex]
And so the solution is [tex]a=24[/tex]
Given f(x) = -2 ang g(x) = 4x - 8, find h(x) = f(x) + g(x)
h(x) = 4x - 10
Step-by-step explanation:
The given is:
f(x) = -2g(x) = 4x - 8We need to find h(x) = f(x) + g(x)
∵ f(x) = -2
∵ g(x) = 4x - 8
∵ h(x) = f(x) + g(x)
- Substitute f(x) and g(x) in h(x), and then add the like terms
∴ h(x) = (-2) + (4x - 8)
- Simplify the right hand side
∴ h(x) = -2 + 4x - 8
- Add like terms in the right hand side
∴ h(x) = 4x + (-2 - 8)
∵ -2 - 8 = -10
∴ h(x) = 4x + (-10)
∴ h(x) = 4x - 10
h(x) = 4x - 10
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The seventh grade class supplied bags of snacks and beverages for the school dance They supplied19 more beverages than bags of snacks The dance was supplied with a total of 371 items.
Answer:
14 bags of snacks.
Step-by-step explanation:
x = the first number
y = the second number
x minus y = 3
x plus y = 13
x - y = 3
x + y = 13
3 x = 8 x + y = 13 8 + y = 13 y = 5 x - y = 3 x +y = 13 2x = 16
The first number = 8
The second number = 5
2x = 16
Difference of the numbers is 3
x = 8
8 – 5 = 3
Sum of the numbers is 13
x + y = 13
8 + 5 = 13
8 + y = 13
y = 5
4 snacks plus beverages = 371 beverages = snacks plus 19
The 8th grade class supplied bags of snacks and beverages for the school dance. They supplied 19 more beverages than bags of snacks. The dance was supplied with a total of 371 items.
x = the number of snacks
y = the number of beverages
snacks plus beverages = 371
beverages = snacks plus 19
x + y = 371
y = x + 19
5 x + y = 371
y = x + 19
Number of snacks = 176
Number of beverages = 195
x + x + 19 = 371
2x = 371
total number of snacks = 371
2x = 352
= 371?
371 = 371
x = 176
19 more beverages than snacks
y = x + 19
= 195
y =
195 = 195
y = 195
6 The seventh and eighth grade bands held a joint concert
The seventh and eighth grade bands held a joint concert. Together there were 188 band members. If the eighth grade band is 3 times as big as the seventh grade band, how big is the eighth grade band?
x = size of the 7th grade band
y = size of 8th grade band
7th grade and 8th grade together = 188 8th grade is 3 x 7th grade
x + y = 188
y = 3x
7 x + 3x = 188 x = 47 y = 3(47) y = 141 x + y = 188 y = 3x 4x = 188
7th grade band = 47 students
8th grade band = 141 students
x + 3x = 188
4x = 188
7th and 8th grade together = 188
= 188?
x = 47
188 = 188
y = 3x
8th grade is 3 times as big as 7th grade
y = 3(47)
141 = 3(47)
141 = 141
y = 141
8 x + y = 81 x = 2y earrings plus necklaces = 81
Amy has 81 pieces of jewelry. She has twice as many earrings as she has necklaces
x = number of earrings
y = number of necklaces
earrings plus necklaces = 81
earrings = 2 x necklaces
x + y = 81
x = 2y
9 2y + y = 81 y = 27 x = 2(27) x = 54 x + y = 81 x = 2y 3y = 81 x = 2y
Number of earrings = 54
Number of necklaces = 27
2y + y = 81
3y = 81
81 pieces of jewelry total
= 81?
y = 27
81 = 81
x = 2y
Twice as many earrings as necklaces
x = 2(27)
2(27) = 54
54 = 54
x = 54
10 9x + 6y = 48 6x + 12y = 72 9 rose plus 6 lily = 48
Julia is making candles. In the morning, she made 9 rose candle plates and 6 lily candle plates. They had a total of 48 candles. In evening, she made 6 rose candle plates and 12 lily candle plates. They had a total of 72 candles. How many candles did each plate have?
x = candles on rose plates
y = candles on lily plates
9 rose plus 6 lily = 48
6 rose plus 12 lilly = 72
9x + 6y = 48
6x + 12y = 72
11 x = 2 6(2) + 12y = 72 12y = 60 y = 5 [9x + 6y = 48] (-2) 6x + 12y = 72
Candles on the rose plates = 2
Candles on the lilly plates = 5
-18x - 12y = -96
6x +12y = 72
9 rose and 6 lilly is 48 plates
9(2) + 6(5) = 48
-12x = -24
= 48
x = 2
6 rose and 12 lilly is 72 plates
6(2) + 12y = 72
6(2) + 12(5) = 72?
y = 72
= 72
12y = 60
y = 5
12 3 adults plus 12 children = 162 3 adults plus 8 children = 122
The cost of admission to a popular music concert was $162 for 12 children and 3 adults. Admission for another group was $122 for 8 children and 3 adults. How much was the admission for each child and adult?
x = the cost of one adult ticket
y = the cost of one child ticket
3 adults plus 12 children = 162
3 adults plus 8 children = 122
3x + 12y = 162
3x + 8y = 122
13 3x + 12y = 162
[3x + 8y = 122] (-1)
The cost of one adult ticket = $14
The cost of one child ticket = $10
3x + 12y = 162
-3x + -8y = -122
12 children and 3 adults spent $162
12 at $10 and 3 at $14 = $162?
4y = 40
$120 + $42 = $162
y = 10
8 children and 3 adults spent $122
3x + 12(10) = 162
8 at $10 and 3 at $14 = $122?
3x = 162
$80 + $42 = $122
3x = 42
x = 14
Answer:
14
Step-by-step explanation:
1 15/100 +1/50 +1.175
To solve the expression, rewrite each term with the same denominator and then add them together. The final answer is 2.345.
Explanation:To solve the expression 1 15/100 +1/50 +1.175, we need to rewrite all the terms with the same denominator. The least common denominator (LCD) of 100 and 50 is 100. Therefore, we can rewrite the expression as follows:
1 15/100 is equivalent to 1.15
1/50 is equivalent to 0.02
Now, we can add the three terms together:
1.15 + 0.02 + 1.175 = 2.345
Therefore, the final answer is "2.345."
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In a local shelter, 300 people donated blood during the blood donation week. The samples collected of the different blood types are shown in the graph below. How many more people with Type A blood donated blood than those with Type B blood?
Answer:
D)24 people
Step-by-step explanation:
Total number of people, x=300
Number of people donated blood with type A, y
[tex]=\frac{28}{100}\times x\\=\frac{28}{100} \times 300\\=84[/tex]
Number of people donated blood with type B, z
[tex]=\frac{20}{100}\times x\\=\frac{20}{100} \times 300\\=60[/tex]
⇒Number of people with Type A blood donated more than those with Type B blood= y-z=84-60= 24
Answer:
D) There are 24 more people who donated Type - A then Type -B.
Step-by-step explanation:
Total number of people who donated the blood in shelter = 300
Percentage of people who donated the type A = 28%
Percentage of people who donated the type B = 20%
Now, 28 % of 300 = [tex]\frac{28}{100 } \times 300 = 84[/tex]
So, the total number of people who donated the Type - A = 84 people.
Also, 20 % of 300 = [tex]\frac{20}{100 } \times 300 = 60[/tex]
So, the total number of people who donated the Type - B = 60 people.
So, the difference in the people who donated type A and Type B
= Number of people who donated the {Type - A - Type - B}
= 84 people - 60 people
= 24 people
or, the difference in the people who donated type A and Type B = 24
Hence, there are 24 more people who donated Type - A then Type -B.
A restaurant sold 350 less hotdogs than hamburgers. Altogether the restaurant sold 700 hotdogs and hamburgers. How many of each did they sell?
Answer:
The restaurant sold 175 hotdogs and 525 hamburgers.
Step-by-step explanation:
Let the restaurant sold x hotdogs and y hamburgers.
Given the restaurant sold 350 more hamburgers than hotdogs.
So, we can write x + 350 = y ....... (1)
Again given that the number of total hotdogs and hamburgers sold in the restaurant is 700.
So, x + y = 700 ........ (2)
Solving equations (1) and (2) we get
2x + 350 =700
⇒ 2x = 350
⇒ x = 175
Then from equation (1) we get,
y = 350 + 175 = 525
Therefore, the restaurant sold 175 hotdogs and 525 hamburgers. (Answer)
Determine the intercepts of the line: -3x-4=-5y-8
Final answer:
To find the intercepts of the given line, the equation is rearranged into the slope-intercept form, revealing the y-intercept directly and allowing for easy calculation of the x-intercept by setting y=0. Thus, the x-intercept is 4/3.
Explanation:
To determine the intercepts of the line given by the equation -3x - 4 = -5y - 8, we should find both the x-intercept and y-intercept. The general form of a line is given by y = mx + b, where m is the slope, and b is the y-intercept.
Steps to find the intercepts:
Rearrange the equation to the slope-intercept form y = mx + b by adding 3x to both sides and then adding 8, resulting in -5y = 3x - 4. By further dividing both sides by -5, we get y = -3/5x + 4/5.
To find the y-intercept (b), set x=0 in the rearranged equation, which gives y = 4/5. Thus, the y-intercept is 4/5.
To find the x-intercept, set y=0 in the rearranged equation, resulting in 0 = -3/5x + 4/5. Multiplying both sides by 5 and then dividing by -3, we find x = 4/3. Thus, the x-intercept is 4/3.
Please help!!!! I’ll mark you as brainliest if you get it correct
Answer: $37.45(to the nearest hundredths)
Step-by-step explanation:
% increase in last year living cost =5%
% increase in last year income =5%
This year income = $39.420
To calculate last year income implies
5% decrease of this year income; thus:
5/100 * $39.420 = $1.971
Last year income = $39.420 - $1.971 = $37.449 = $37.45 (to the nearest hundredths)
Answer:
37.4490 (rounded to the nearest hundredth) = 37.45
Step-by-step explanation:
ok so her bills or wateva went up 5% right and she gets a lil 5% raise or sumn from her job which made her money got up to $39.42. so if you think about it all you do is multiply 39.42 and (5%) which = 0.05 in decimal form and then after you multiply you should get 1.9710 and once you get that you gone take her money she getting now which is 39.42 - her 5% raise she got and once you subtract you gone get 37.4490 or 37.45 rounded
One serving of yogurt has 95 calories.
What is the reasonable
estimate for the number of calories in 2.5 servings of
yogurt ?
Answer:
About 300 calories
The drawing will help
I’m thinking of three consecutive odd integers. When I add the larger two the result is nine less than three times the smallest of them. What are the three consecutive odd integers?
To find the three consecutive odd integers, we can solve an equation representing the given information.
Explanation:Let the smallest odd integer be x. The next consecutive odd integer will be x + 2, and the largest odd integer will be x + 4.
The problem states that when the larger two integers are added, the result is nine less than three times the smallest integer:
(x + 2) + (x + 4) = 3x - 9
Simplifying the equation, we have:
2x + 6 = 3x - 9
Adding 9 to both sides:
2x + 15 = 3x
Subtracting 2x from both sides:
15 = x
So the smallest odd integer is 15. The consecutive odd integers are 15, 17, and 19.
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1) Tickets to a fundraiser are $14 if purchased ahead of time and $25 if
purchased at the door. The total amount raised from all ticket sales was $625. If
eleven tickets were purchased at the door, how many tickets were purchased
chead of time?
Answer:
25 tickets were purchased ahead of time
Step-by-step explanation:
25(11)=275 which is the price of the 11 bought at the door then you take 625-275=350 which is the amount of money that was raised through purchases ahead of time so you take 350/14=25 meaning that 25 tickets were bought ahead of time.
There are 25 tickets were purchased ahead of time.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The cost of tickets to a fundraiser when purchased ahead = $14
The cost of tickets to a fundraiser when purchased at the door = $25
And, The total amount raised from all ticket sales = $625
Now,
Let number of tickets to a fundraiser when purchased ahead = x
And, The number of tickets to a fundraiser when purchased at the
door = y
We can formulate;
⇒ $14x + $25y = $625
Since, The number of tickets to a fundraiser when purchased at the
door = 11
So, y = 11
Hence, We can formulate;
⇒ $14x + $25y = $625
⇒ $14x + $25 × 11 = $625
⇒ $14x + $275 = $625
⇒ $14x = $625 - $275
⇒ $14x = $350
⇒ x = 25
Thus, There are 25 tickets were purchased ahead of time.
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0.2x=0.1y+0.3 in standard form
Answer:
2x - y = 3.
Step-by-step explanation:
0.2x = 0.1y + 0.3
Multiply through by 10:
2x = y + 3
2x - y = 3.
*Picture attached* NUMERICAL REASONING If someone can please help me answer this one. I’m lost.
Answer:
57
Step-by-step explanation:
Write and solve a proportion.
47 / 289 = x / 350
x ≈ 57
If 2 angles are supplementary and their measures are m<1 (5x +10)° and m<2 (x +14)°. Find x and the measure for both angles.
Answer:
(5x+10) + (x+14) =180
6x+24=180
x=26
Angles are 140 and 40
Step-by-step explanation:
1.since it is a ratio of two integers 2 over 3 is irrational... true or false.
2.since it is a terminating decimal 8.32 is rational..true or false
Answer:
1. false
2. true
Step-by-step explanation:
1. false because fractions are rational
2. true because it can be turned into a fraction
What do both shapes have in common ?
Answer:
1 right angle
Step-by-step explanation:
The sides are not in common
Answer:
1 right angle
Step-by-step explanation:
They dont have the same number of sides