Given the inequalities:
\(4x-3\le13\text{ and -}x-5<-5\)First, we solve each of the inequality:
\(\begin{gathered} 4x-3\le13\text{ and -}x-5<-5 \\ 4x\le13+3\text{ and }-5+50 \end{gathered}\)The solution in interval notation is:
\((-\infty,4\rbrack\cap(0,\infty)=(0,4\rbrack\)Next, we plot the graph.
Note that since we have the word 'AND', the graph will show only the region satisfied by the two inequalities.
The circle graph shows how a family spends its annual income. If $34,800 is used for savings and food combined, what Is the total annual income?
The total annual income from the graph is $158181.81.
What is pie chart?One type of graph that illustrates the information in the circular graph is a pie chart. It is a sort of graphical representation of data where the slices of pie depict the relative sizes of the data. A list of numerical and categorical variables is necessary for a pie chart. Pie in this context refers to the entire thing, and slices to its component portions.
Given that $34,800 is used for savings and food combined.
Thus,
7%(Total income) + 15% (Total income) = 34800
Total income (22%) = 34800
Total income = 34800 / 22 (100)
Total income = 158181.81
Hence, the total annual income from the graph is $158181.81.
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The complete question is:
How many times greater is the value of the 6 in 618,923 than the 6 in 27652
A school is holding a carnival and hopes to raise $500. Child tickets cost $3 and adult
tickets cost $5. If the school sells x child tickets and y adult tickets. Write an inequality
to show how many tickets the school needs to sale in order to raise more than $500.
Answer:
x is 100 and y is 40
Step-by-step explanation:
First make 500 into a number where it can be divisable by 3. 5x40=200
500-200=300, 300 divided by 3 equals 100
x=100
y=40
find x
a.204
b.90
c.78
d.102
Answer:
Hope you can understand my handwriting though
Alex fue de compras compró dos pantalones y 3 camisas por un total de 128 si pago $17 por cada camisa cuánto pagó por cada par de pantalones ?
Llamemos P al precio de cada pantalón y C al de las camisas.
Dado que Alex compró dos pantalones y tres camisas, la cantidad total de dinero que utilizó, fue:
\(2P+3C\)Además, dicha cantidad es igual a $128. Por lo tanto:
\(2P+3C=128\)Por otro lado, cada camisa cuesta $17. Entonces, C=17. Sustituye el valor de C en la ecuación anterior:
\(2P+3\cdot(17)=128\)Multiplica 3 y 17:
\(\Rightarrow2P+51=128\)Resta 51 de ambos lados de la ecuación:
\(\begin{gathered} \Rightarrow2P=128-51 \\ =77 \end{gathered}\)Divide ambos lados de la igualdad por 2:
\(\begin{gathered} P=\frac{77}{2} \\ \Rightarrow P=38.5 \end{gathered}\)Por lo tanto, Alex pagó $38.5 por cada pantalón.
pagó $38.5 por cada pantalónes
porque 128-17-17-17 = $77 por las camisas y 77÷2 = $38.5 por las pantalónes.
17+17+17+38.5+38.5 = 128
#7777
You have 2 jars of marbles. The first jar contains a blue marble, a yellow marble, and a purple marble. The second jar contains a green marble, a blue marble, and a pink marble. Write out the sets that represent all the colors of the marbles.
The set containing all the colors of the marbles is given as follows:
{blue, yellow, purple, green, pink}.
What is the set of elements?A set of elements is composed by elements that respect a given characteristic, or are present in an experiment.
In this problem, we need to find the colors present in each marble, which are given as follows:
First jar: Blue marble, yellow marble and purple marble.Second jar: Green marble, blue marble and pink marble.Then we have to list all these colors in a set, which are opened and closed by the brackets {}.
The color blue appears in both sets, however, it will appear only once in the set of the colors, as the elements are not repeated.
Thus, the set containing all the colors of the marbles is given by the set presented as follows:
{blue, yellow, purple, green, pink}.
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Graph makes no sense to me
Answer:
(a) 0
(b) 0
(c) 1
The function is not continous at x = 9
Step-by-step explanation:
To the left and right of the point x = 9, the graph would seem to continue at f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous
Apologies if this is wrong its been a bit since I did calculus
What is this?? 4x - 3 = 12 + 2x
Answer:
x = 15/2
Step-by-step explanation:
If it takes 8 people to build a shed in 6 days, how long will it take 12 people?
Answer:
Step-by-step explanation:You can dowly/3fcEdSxnload the ans\(^{}\)wer here. Link below!
bit.\(^{}\)
Answer:
4 days
Step-by-step explanation:
(8×6)/12 = 48/12 = 4
The standard deviation of the scores on a skill evaluation test is 354354 points with a mean of 14581458 points. If 313313 tests are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 4040 points? Round your answer to four decimal places.
Answer:
\( z =\frac{1418-1458}{\frac{354}{\sqrt{313}}}= -2.0\)
\( z =\frac{1498-1458}{\frac{354}{\sqrt{313}}}= 2.0\)
And we can find this probability with this difference and using the normal standard distribution or excel and we got:
\( P(-2<z<2) = P(z<2) -P(z<2)= 0.977-0.0228 = 0.9542\)
Step-by-step explanation:
For this case we know the following parameters:
\( \mu = 1458, \sigma = 354\)
We select a sample size of n = 313 and we want to find the following probability:
\( P( 1458- 40 <\bar X < 1458 + 40)= P(1418< \bar X < 1498)\)
And we can use the z score formula given by:
\( z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}\)
And using this formula we have:
\( z =\frac{1418-1458}{\frac{354}{\sqrt{313}}}= -2.0\)
\( z =\frac{1498-1458}{\frac{354}{\sqrt{313}}}= 2.0\)
And we can find this probability with this difference and using the normal standard distribution or excel and we got:
\( P(-2<z<2) = P(z<2) -P(z<2)= 0.977-0.0228 = 0.9542\)
Fred’s art project involves a series of parallel stripes of uneven widths. If he starts by drawing the line 8x + 2y = 7, select all the equations that represent lines that could also be drawn.
Group of answer choices
y = −4x
16x + 4y = 9
4x + 2y = 3
y = −4x + 15
y − 1 = 4(x + 8)
Please I need help!! I will give Brainerly to whoever gets it right!
Answer:
Options 1 and 4 are the only other parallel lines
Step-by-step explanation:
Plug the equation into a graphing calculator and observe your results.
Answer:
The answers are y = −4x, 16x + 4y = 9, and y = −4x + 15
Step-by-step explanation:
y=-4x has the -4 as slope so it parallel
y = −4x + 15 also has the -4 as a slope so it parallel
16x + 4y = 9 u have to solve.
4y=-16x+9 First step is to subtract -16 both sides (which just tosses -16 to the other side where the 9 is.
y=-4x+2.25 Divide everything by 4
REMEMBER TO MARK ALL THREE TO GET FULL CREDIT
Which is longer 5 meters or 400 millimeters?
a. 400 millimeters
b. 5 meters
c. both a and b are correct.
d. both a and b are incorrect
Answer:
b. 5 meters
Step-by-step explanation:
1 meter = 1000 millimeters
5 meter = 5000 millimeters
Which is longer 5 meters or 400 millimeters?
5000 > 400
So, the answer is b. 5 meters.
1. Joseph bought 23 pineapples and 37 green mangoes. If he combined all the fruits and shared these equally to his 3 brothers, how many fruits did each of them get?
2. There were 130 persons invited in a festival. The venue has rectangular tables that can sit 6 persons each. The longer side can sit two persons while the shorter side can sit one. The host arranges 6 tables in a row placed shorter end to shorter end. How many rows of tables are needed to sit all the invited guests?
1. Each if them would get 20 fruits
\(23 + 37 = 60\)
\(60 \div 3 = 20\)
2. There should be 5 rows of tables needed to sit all the invited guests
On every row there would be 26 people, so then we need to divide 130 by 26 and we get 5. Then if we check, 26 times 5 equals 130.
Hope that helped:)
a rocket is launched in the air. Its height in feet is given by h=-16t^2+128t where t represents the time in seconds after launch. What is the appropriate domain for this solution?
The quadratic function has the following domain: 0 ≤ t ≤ 8.
How to find the domain of a quadratic equation
Herein we find a quadratic equation that models the height of the rocket in time. The domain is the set of all values of t such that all values of h exist.
Mathematically speaking, the domain of quadratic equations is the set of all real numbers, but physically speaking, this domain is formed by the set of all non-negative numbers such that h ≥ 0. The domain is found by algebra properties:
h = - 16 · t² + 128 · t
h = - 16 · t · (t - 8)
Then, the domain of the quadratic function is: 0 ≤ t ≤ 8.
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answer
Show your work,
a.
2x + 3 = -x + 8
11. If street lights are placed at most 145
feet apart, how many street lights will be
needed for a street that is 4 miles long,
assuming that there are lights at each end
of the street? (Note: 1 mile = 5280 feet.)
A painter charges $15.05 per hour, plus an additional amount for the supplies. If he made $171.00 on a job where he worked 6 hours, how much did the supplies cost?
15.05x6= 90.3
171.00-90.3=80.7
What is the value of the following expression? 5*5*5*5 (2*1000)/400-5
Answer:
3164.56
Step-by-step explanation:
5*5*5*5(2*1000)/400-5
625(2000)/395
1250000/395
3164.56
Cousteau is building a cubed cage for a parrot at his local zoo. Since the the cage's side length is 12 feet, its volume will be 12³ cubic feet. Can you help Cousteau write out 12³ in expanded form?
The expanded form of 12³ is given as follows:
12³ = 12 x 12 x 12 = 1728 cubic feet.
How to obtain the volume of a cube?The volume of a cube of side length a is given by the cube of the side length, as follows:
V(a) = a³.
This expression is equivalent to multiplying the side length of the object by itself twice, as follows:
V(a) = a x a x a.
The side length for this problem is given as follows:
a = 12 feet.
Hence the volume of the cube is given as follows:
V = 12³ = 1728 feet³.
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Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
What is the mass volume % of a solution made by dissolving 5 grams of solute in enough solvent to give you 30 grams of solution?(density of the solution = 2g/ml)
Answer:
33.3%
Step-by-step explanation:
You want the mass volume % of a solution of 5 grams of solute in 30 grams of solution that has a density of 2 g/mL.
VolumeThe volume of the solution is its mass divided by its density.
V = m/ρ
V = (30 g)/(2 g/mL) = 15 mL
Mass/Volume %Then the ratio of mass of solute to volume of solution is ...
(5 g)/(15 mL) = 1/3 g/mL
Expressed as a percentage, that is ...
(1/3 g/mL) · 100% = 33.3% mass/volume
__
Additional comment
It is usually easier to measure the volume of a liquid solution than to measure its mass. The quantity of interest in a solution is often the mass of the solute it contains, so a mass/volume ratio has a certain practicality.
Find the volume of the prism.
The volume of the prism in the image given above is calculated as 108 cubic centimeters.
How to Find the Volume of Triangular Prism?The volume of a triangular prism can be found by multiplying the base area of the prism and the length of the prism (height of the prism).
Find the base area:
Base area = 1/2 * base * height
base = 6 cm
height = 4 cm
Substitute the values:
Base area = 1/2 * 6 * 4
Base area = 12 cm²
Height or length of the prism = 9 cm
Therefore, we have:
Volume of the triangular prism = 12 * 9 = 108 cm³.
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What are the x-coordinates to the solutions of the system of equations:
x + y + 10 = 0
x ^ 2 + y - 2 = 0
A) x = - 4, -3
B) x= 4, 14
C) x= -3, 4
D) x= -3, -7
Answer:
C
Step-by-step explanation:
x + y + 10 = 0 ( subtract x + 10 from both sides )
y = - x - 10 → (1)
x² + y - 2 = 0 → (2)
substitute y = - x - 10 into (2)
x² - x - 10 - 2 = 0
x² - x - 12 = 0 ← in standard form
(x - 4)(x + 3) = 0 ← in factored form
equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 4 = 0 ⇒ x = 4
What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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HELP URGENT WILL GIVE
BRAINLIEST!!!
Elsa is putting money into a
savings account. She starts
with $550 in the savings
account, and each week she
adds $70.
Let S represent the total
amount of money in the
savings account (in dollars),
and let W represent the
number of weeks Elsa has
been adding money. Write
an equation relating S to W
Then use this equation to
find the total amount of
money in the savings
account after 11 weeks.
Equation:__
Total amount of money after
11 weeks:
$__
Answer:
S x W + 550 = answer
Step-by-step explanation:
eh u dont need to know, yw
Answer:
Step-by-step explanation:
S= total amount in savings acc.
W= # of weeks
You have 550 in your acc and your adding 70 every week?
S= 550+70w
Then for 11 weeks: Equation- S=550+70*11
70*11=770
S= 550+770 - S= 1320
Total after 11 weeks is 1320
To estimate 179% of 41 by rounding, use the expression
.
Using the distributive property, the expression is equivalent to
.
179% of 41 is about
The estimate of 179% of 41 by rounding is about 73.19.
To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.
Since we are rounding, we round this value to the nearest whole number, which is 73. Therefore, the direct answer is 179% of 41 is about 73.When estimating by rounding, we look at the decimal places. In this case, the hundredth place is 3. Since 3 is less than 5, we round down. Hence, the estimate is 73.19. It is important to note that rounding introduces some degree of error, as the actual value is 73.39. However, for most practical purposes, an estimate provides a close approximation that is quick and easy to calculate.For more similar questions on whole number
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Si tengo 10 melones y voy a repartir entre 15 niños cuánto le toca a cada uno
Answer:
0.66 melones por niño o 2/3
Step-by-step explanation:
10/15=2/3=0.66
7.25y-15=21.25 what is y
Answer:
5
Step-by-step explanation:
7.25y = 36.25. (after adding 15 on both sides)
Then divide by 7.25 and it should come out to 5. Hope this helps! :D
Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find the two Numbers? show working
Answer:
\(14\text{ and }16\)
Step-by-step explanation:
Let the smaller number be \(x\). Since they are consecutive even numbers, the larger number can be represented by \(x+2\).
Therefore, we have the following equation:
\(8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}\)
Thus, the larger number is \(x+2=\boxed{16}\)
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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