12x + 34y = -2
2x + 3y = -8
What is x?
1) A survey of favorite colors showed 198 people chose
green, 212 chose blue, and 187 chose red. If 39% of the
people surveyed are children, ABOUT how many
people surveyed were children? (use a calculator – show
all work!)
Answer:
233
Step-by-step explanation:
so we add up the total number of people surveyed (198+212+187) and get 597. So, then we multiply 597 by 0.39 (597(.39)) and that gives us 232.83. we round up 232.83 to 233 and thats the answer
I NEED HELP ASAP URGENT PLEASE!
Answer:
A) 4*4x-4*3 and 16x-12
B) 12y+15y and 27y
Step-by-step explanation:
For A when you do the distributive property, you get:
4(4x-3)
4*4x-4*3 (which is one of the choices)
16x-12 (which is one of the choices)
For B when you combine like terms, you get:
12y+5y+10y
12y+15y (which is one of the choices)
27y (which is one of the choices)
solve the rato table 16:28=4:_
Answer:
x =7
Step-by-step explanation:
16:28=4:x
16*x=28*4
x=28*4/16
x=112/16
x=7
Answer:
7
Step-by-step explanation:
16/4=4 28/4=7
factor q^2+q+5pq+5p by grouping
Answer:
(q + 1)(q + 5p)
Step-by-step explanation:
q² + q + 5pq + 5p
= (q² + q) + (5pq + 5p)
Consider that : q² + q = q(q + 1) and 5pq + 5p = 5p(q + 1)
then
q² + q + 5pq + 5p
= (q² + q) + (5pq + 5p)
= q(q + 1) + 5p(q + 1)
= (q + 1)(q + 5p)
Good luck :)
Final answer:
The expression q^2 + q + 5pq + 5p is factored by grouping into (q + 5p)(q + 1) by factoring out common factors from the grouped terms.
Explanation:
To factor by grouping the expression q2 + q + 5pq + 5p, we need to group the terms in a way that common factors can be factored out.
Firstly, we divide the expression into two groups:
q2 + q5pq + 5pWe can then factor out the common factor from each group:
q2 + q = q(q + 1)5pq + 5p = 5p(q + 1)Now, we can see that the term (q + 1) is common in both grouped expressions:
q(q + 1) + 5p(q + 1)
The expression can be factored as:
(q + 5p)(q + 1)
This is the factored form of the original expression.
What is at answer for this addition problem 3/2+4/5=
Answer:2 3/10
Step-by-step explanation:
Three friends fill bags with trash at a neighborhood cleanup. Randall's bag weighs
3x - 7 pounds, Seth's bag weighs 2x -- 10 pounds, and Joanna's bag weighs
2x + 2 pounds. Together, Randall's and Joanna's bags weigh 3 times as much as
Seth's bag. How many pounds of trash does each friend pick up?
Answer:
Randall picks up 68 pounds
Seth picks up 40 pounds
Joanna picks up 52 pounds
Step-by-step explanation:
Let us make an equation in x to find it
∵ Randall's bag weighs 3x - 7 pounds
∵ Joanna's bag weighs 2x + 2 pounds
∵ Seth's bag weighs 2x - 10 pounds
∵ Randall's and Joanna's bags weigh 3 times as much as Seth's bag
- That means add Randall's bag and Joanna's bag and equate
the sum by 3 times Seth's bag
∵ Randall's bag + Joanna's bag = 3(Seth's bag)
∴ (3x - 7) + (2x + 2) = 3(2x - 10)
- Simplify the two sides
∴ (3x + 2x) + (-7 + 2) = 3(2x) - 3(10)
∴ 5x + (-5) = 6x - 30
∴ 5x - 5 = 6x - 30
- Add 5 to both sides
∴ 5x = 6x - 25
- Subtract 6x from both sides
∴ -x = -25
- Divide both sides by -1
∴ x = 25
Substitute x by 25 in the weight of each bag
∵ Randall's bag weighs = 3(25) - 7 = 75 - 7
∴ Randall's bag weighs = 68 pounds
∵ Seth's bag weighs = 2(25) - 10 = 50 - 10
∴ Seth's bag weighs = 40 pounds
∵ Joanna's bag weighs = 2(25) + 2 = 50 + 2
∴ Joanna's bag weighs = 52 pounds
Answer: What is the
Step-by-step explanation:
Greatest common factor of 12 and36
Answer:
12
Step-by-step explanation:
Since 12 itself a factor of 36, there can't be a greater commonly factor
which pair of points forms line that does no intersect the line that passes through the points (5,7) and (7,7)?
Answer:
(8, -9), (11, -9)
Step-by-step explanation:
The points (5, 7) and (7, 7) are on a horizontal line in which the y-coordinates of all points are 7. The line has equation y = 7.
For a line to not intersect the line y = 7, it must be parallel to y = 7.
The answer is the pair of points which both have the same y-coordinate, and that y-coordinate is not 7.
From the choices you added to your comments, the only choice with two points with the same y-coordinate is (8, -9) and (11, -9). This is the answer.
Answer: (8, -9), (11, -9)
d = √((7 - 5)² + (7 - 7)²)
d = √(2² + 0²)
d = √4
d = 2
((5 + (2/2)), 7)
= ((5 + 1), 7)
= (6, 7)
You are dealt one card from a 52- card deck. Find the probability that you are not dealt a six
Answer:
48/52, or 0.92307692307
Step-by-step explanation:
There are 13 cards in each of the 4 suits.
A,2,3,4,5,6,7,8,9,10,J,Q,K.
If there is 1 six in 1 suit, and there are 4 suits, there are 4 sixes. The chance of NOT getting a 6 is 52(all the cards)-4(six delt) /52.
48/52=0.92307692307
Want it more professionally?
Using the scientific probability method:
p=probability
p(all cards in 1 deck)-p(a 6 dealt)=p(not dealt a 6)
p(52/52)-p(4/52)=p(not dealt a 6)
p(48/52)=p(not dealt a 6)
There is a 48/52 chance (0.92307692307) that you are not dealt a 6.
Hope this helps!
The probability of not being dealt a six from a 52-card deck is 12/13.
Probability of not being dealt a six:
There are 52 cards in a deck.
There are 4 sixes in a deck .
Hence, the probability of not getting a six when dealt one card is 1 - (4/52) = 48/52 = 12/13.
hi again, a ice cream shop uses the following ingredients to make 1 sundae.
ice cream=2 scoops
sprinkles=4 spoonfuls
wipped cream=2 tablespoons
how many sundaie's did the shop make if they used 32 spponfuls of sprinkles?
Answer:
8 sundaes.
Step-by-step explanation:
Follow below steps:
Combinations without repetition:
In the given scenario, the ice cream shop uses 4 spoonfuls of sprinkles for 1 sundae. To find out how many sundaes they made with 32 spoonfuls of sprinkles, divide the total number of spoonfuls by the amount of sprinkles used per sundae: 32 spoonfuls ÷ 4 spoonfuls = 8 sundaes.
Combinations with repetition:
Explaining combinations with repetition involves calculating the different combinations possible when taking into account repeated flavors in ice cream selections.
The Wertz car rental company charges $45 to rent a Mustang convertible, plus $42 per day. Write the cost of renting the car as a function of the number of days rented. Use your function to find how much it would cost to keep the car for a week
Answer:
$339.00 for a week
Step-by-step explanation:
Step 1: Convert words into an expression
The Wertz car rental company charges $45 to rent a Mustang convertible, plus $42 per day.
f(d) = 45 + 42d
Step 2: Find the cost for a week/7 days
f(7) = 45 + 42(7)
f(7) = 45 + 294
f(7) = 339
Answer: $339.00 for a week
What is the measure of angle PNL
Answer:
Angle M has a measure of 47°.
What is the measure of angle PNL?
43°
47°
86°
94°
Answer:
43
Step-by-step explanation:
trust me
3) A chef randomly chooses subscription information from his blog readers to determine people who are likely to watch his new cooking show. Which statement BEST describes the random sample? A) The random sample represents all people who visit cooking blogs. B) The random sample represents all people who are interested in cooking shows. C) The random sample represents all people who are likely to watch the chef's new cooking show. Eliminate D) The random sample does not represent all people who are likely to watch the chef's cooking show.
Answer:
The answer is D, the random sample does not represent all people who are likely to watch the chef's cooking show.
Step-by-step explanation:
This is because not all people who enjoy cooking know about or visit the chef's blog.
Answer:ok guys so the answer is D
Step-by-step explanation: Not all people who enjoy cooking know about or visit the chefs blog
I don’t know how to do this. Ignore my work it’s probably wrong. Please help.
Check the picture below.
A)
well, we start off by making a table of values for the function, with a few "t" values, as you see in the picture, then graph those points to get the graph.
B)
at t = 0, h(0) = 98, and at t = 1, h(1) = 82, so it went from 98 to 82, for a difference of 16.
C)
at t = 1, h(1) = 82, and at t = 2 h(2) = 34, so it went from 82 to 34, for a difference of 48.
does it fall the same distance on both intervals? well, they're different, so nope.
Definition: A logical argument arranged with statements and reasons.
Term:
The answer would be a two-column proof.
A two-column proof is a logical argument arranged with statements and reasons.
Hope that helps, :)
factor completely (x^2-4)(x^2+6x+9)
Answer:
[tex](x-2)(x+2)\left(x+3\right)^2[/tex] is the required factor form.
Step-by-step explanation:
When the factor of the expression is required to be found, then take the common terms, or find the factor by splitting the terms, or by using the standard formulas.
So here we have to find the factor of the expression:
[tex](x^2-4)(x^2+6x+9)\\[/tex]
so we will first find the factors of:
[tex](x^2-4)=(x-2)(x+2)~~~~~~~~~~~~~~~~~\because x^2-y^2=\left(x+y\right)\left(x-y\right)\\[/tex]
Now the factors of:
[tex](x^2+6x+9)=\left(x+3\right)^2~~~~~~~~~\because \left(a+b\right)^2=a^2+2ab+b^2[/tex]
So the final factor is given as:
[tex](x^2-4)(x^2+6x+9)\\=(x-2)(x+2)\left(x+3\right)^2[/tex]
How do you determine the base when solving for x by converting to a log?
The answer was supposed to be
x= ln(3/2) / 4ln(1.0125)
why is it ln?
[tex]$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex]
Solution:
Given expression:
[tex]$(1.0125)^{4 x}=\frac{3}{2}[/tex]
To solve the expression:
[tex]$(1.0125)^{4 x}=\frac{3}{2}[/tex]
If f(x) = g(x) then ln(f(x)) = ln(g(x)).
Using the above condition, we can write
[tex]$\ln \left(1.0125^{4 x}\right)=\ln \left(\frac{3}{2}\right)[/tex]
Apply log rule: [tex]\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)[/tex]
[tex]$4 x \ln (1.0125)=\ln \left(\frac{3}{2}\right)[/tex]
Divide both side of the equation by [tex]4 \ln (1.0125)[/tex].
[tex]$\frac{4 x \ln (1.0125)}{4 \ln (1.0125)}=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex]
[tex]$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex]
The answer is [tex]x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}[/tex].
Final answer:
To solve for x by converting to a logarithm, the base used depends on the context and specific problem. In this case, the natural logarithm is used as the base is relevant to the equation.
Explanation:
To solve for x by converting to a logarithm, you need to determine the base of the logarithm. In this case, the answer is x = ln(3/2) / 4ln(1.0125), where ln represents the natural logarithm.
The natural logarithm, denoted by ln, is the logarithm with base e, where e is an irrational number approximately equal to 2.71828. It is commonly used in calculus and other fields of mathematics.
When converting to a logarithm, the base can be any positive number greater than 1. The choice of base depends on the context and the specific problem being solved. In this case, the natural logarithm is used because it is relevant to the given equation.
If you bought a car five years ago for $15,000 and today you can sell for $7000 what was its rate of depreciation
Step-by-step explanation:
The price of car purchased 5 years ago = 15000
The price of car sold = 7000
By compound depreciation,
[tex]Pn = P (1 - R/100) ^ T[/tex] ... (1)
where Pn = 7000
P = 15000
R = rate of interest to be calculated
T = 5 ( number of years)
substituting the values in equation (1), we get
[tex]7000 = 15000 (1 - R/100) ^ 5[/tex]
[tex]0.46 = (1 - R/100) ^ 5[/tex]
[tex]0.858 = 1 - R/100[/tex]
0.858 is rounded off as 0.86
R/100 = 0.14
By simplifying the above equation, we get
Rate of depreciation = 14%
Evaluate 8y-14 for y=20
Answer:
146
Step-by-step explanation:
Begin by substituting 20 in for y
8y-14
8(20)-14 Multiply 8 and 20
160-14 Subtract
146
Hope this helps!
Step-by-step explanation:
[tex]8y-14 = 8(20) - 14 [/tex]
[tex] [/tex]
160-14=146
Find the equation of the line specified.
The slope is 7, and it passes through ( 8, 6).
Answer:
The answer is A
Step-by-step explanation:
Given that the equation of line is y = mx + c and the slope is 7 :
y = 7x + c
By substituting the coordinate(8,6) into the equation, in order to find the value of c:
6 = 7(8) + c
6 = 56 + c
c = 6 - 56
= -50
y = 7x - 50
(Hope this can help)
monk crossbred plants, which can have purple or white flowers, and obtained 639 plants with white flowers and 280 plants with purple flowers. Find the empirical probability that a plant had each type of flower.
11.1#18
Answer:
The emperical probability of being a plant with white flower is
[tex]\dfrac{639}{919}\approx 0.695[/tex]
The emperical probability of being a plant with purple flower is
[tex]\dfrac{280}{919}\approx 0.305[/tex]
Step-by-step explanation:
There are
639 plants with white flowers 280 plants with purple flowers919 plants in total.The empirical probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
The emperical probability of being a plant with white flower is
[tex]\dfrac{639}{919}\approx 0.695[/tex]
The emperical probability of being a plant with purple flower is
[tex]\dfrac{280}{919}\approx 0.305[/tex]
Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 2.
Answer:
263.76
3.14x(42+42)
3.14x82=263.76 .
Answer:
75.36
Step-by-step explanation:
Given
3.14(a² + ab) ← substitute a = 4, b = 2 into the expression
= 3.14(4² + 4(2)) = 3.14(16 + 8) = 3.14 × 24 = 75.36
What is 5/3 as a whole number
Answer:
1 and 2/3
Step-by-step explanation:
The fraction 5/3 can be expressed as the mixed number 1 2/3.
The fraction 5/3 cannot be expressed as a whole number because it is an improper fraction. An improper fraction has a numerator that is greater than or equal to the denominator.
To convert the improper fraction 5/3 into a mixed number (a whole number plus a proper fraction), we divide the numerator (5) by the denominator (3):
5 ÷ 3 = 1 remainder 2
The result tells us that 5 divided by 3 equals 1, with a remainder of 2.
Therefore, the fraction 5/3 can be expressed as the mixed number 1 2/3.
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Ratios that are equivalent to 8 : 20
Answer: 16 and 40. 24 60
Step-by-step explanation:
-6x +6x-1 simplified
Answer:
-1
Step-by-step explanation:
I hope this helps!
Factor 1/5 out of 1/5x + 29/5
Answer:
(1/5x+29/5)
(1/5x÷1/5) + (29/5÷1/5)
(x) +(29)
x+29
What is the P(H,H,H,T,T) on 5 flips of a coin?
I need help
Answer:
The probability for Heads will be 60% or 3/5.
The probability for Tails will be 40% or 2/5.
Step-by-step explanation:
The coin flipped 5 times and landed on Heads 3 times. This shows that out of 5 situations, 3 situations were Heads. Therefore, the probability is 3/5.
The coin landed on Tails 2/5 times the coin was flipped, which is basically the probability.
The probability of getting 3 heads and 2 tails in 5 flips of a coin, in any order, is 0.3125 or 31.25%. This is calculated by figuring out the number of ways to get 3 heads and 2 tails out of 5 flips (10 ways) and dividing that by the total possible outcomes in 5 flips (32 outcomes).
Explanation:The question is asking about the probability of getting three heads and two tails in 5 flips of a fair coin. The order given in the question (H, H, H, T, T) doesn't matter in this case because the flips are independent events.
We calculate the probability by figuring out the number of ways we could get 3 heads and 2 tails out of 5 flips and divide that by the total number of outcomes in 5 flips of a coin. There are 10 ways to get 3 heads and 2 tails out of 5 flips, and there are 32 total possible outcomes in 5 flips of a coin (because 2^5 = 32, as each flip has 2 possibilities, heads or tails).
So, P(H, H, H, T, T) = 10 / 32 = 0.3125 or 31.25%
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Which net represents this solid figure?
Rectangular prism 6.
Net of a cube 5.
Net of a cube 6.
Net of a rectangular prism. Two rectangles have a width of eight units and a height of four units. Two rectangles have a width of eight units and a height of three units. Two rectangles on the left and right have a width of four units and a height of three units.
Net of a rectangular prism 12.
The net represents a rectangular prism with two rectangles of 4x8 units, two rectangles of 8x3 units, and two rectangles of 4x3 units. The net of a cube doesn't match these dimensions, as it has equal sides. The 6 and 12 rectangular prisms do not match, unless they can confirm to these specific dimensions.
Explanation:The question is asking to identify which net corresponds to a specified rectangular prism with given dimensions. A net in mathematics refers to a pattern that you can cut and fold to make a model of a solid shape. A net of a rectangular prism consists of six rectangles of two pairs with equal dimensions - however, within each pair, the two rectangles may not be identical in dimensions to the other pair.
For this case, the rectangular prism described will have two rectangles with a height of 4 units and a width of 8 units, two rectangles with a width of 8 units and a height of 3 units, and two rectangles with a width of 4 units and a height of 3 units.
Thus, the correct net for this rectangular prism is the one with these described dimensions. We can eliminate the net of a cube options as those will have equal sides on all faces, which this prism does not have. The rectangular prism 12, 6, unless they match the above dimensions, also will not be the correct answer.
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Which choice correctly shows the solution(s) of the equation x2 = 225?
A) x =
225
B) x = −
225
C) x = ±
15
D) x = ±
225
Answer:
C)x = +/-15
Step-by-step explanation:
15x15=225
-15x-15=225
Answer:
A
Step-by-step explanation:
The answer would be the square root of 225