Answer:
57 years
Step-by-step explanation:
The mean of a set of numbers is given as the ratio of the sum of the numbers to the number of numbers in the given data set.
Hence given that the age of 5 people are 17, 21, 15, 15, 25 and a 6th person joins the set, making the mean age 25, let the age of the new person that joined be x then
25 = (x + 17 + 21 + 15 + 15 + 25)/6
25 = (x + 93)/6
Multiply both sides by 6
150 = x + 93
subtract 93 from both sides
x = 150 - 93
x = 57 years
The age of the person who entered the room is 57 years
Given: 5x + 3 > 4x + 7.
Choose the graph of the solution set.
Answer:
The first one
Step-by-step explanation:
We simplify this inequality to x>4. This means it is moving past the four to the right with an open dot
[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct . }}}[/tex]
Step-by-step explanation:For the number line refer to the attachment :
A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-
[tex]\bf \implies 5x + 3 > 4x + 7 \\\\\bf\implies 5x - 4x > 7 - 3 \\\\\bf\implies \boxed{\red{\bf x > 4 }}[/tex]
This implies that the value of x is Greater than 4 . That is the inequality can have all the values more than 4. So when we see the given number lines we see that the first number line represents all values greater than 4 .
Hence the first graph of the solution set represents the given linear inequality.A is the point (8, 5) and B is the point (- 4, 1) Calculate the length of AB.
length between 2 points= 12.6491
Eli and Claire work at a dry cleaners ironing shirts. Eli can iron 15 shirts per hour,
and Claire can iron 20 shirts per hour. Eli and Claire worked a combined 17 hours
and ironed 300 shirts. Graphically solve a system of equations in order to determine
the number of hours Eli worked, x, and the number hours Claire worked, y.
Answer:
∴ Eli worked for 8 hours and Claire worked for 9 hours
Step-by-step explanation:
Let us form the two equations then graph them
∵ Eli worked for x hours
∵ Claire worked for y hours
∵ Eli and Claire worked a combined 17 hours
∴ x + y = 17 ⇒ (1)
∵ Eli can iron 15 shirts per hour
∵ Claire can iron 20 shirts per hour
∵ They ironed 300 shirts together in 17 hours
→ Multiply x by 15 and y by 20, then add the products and equate their
sum by 300
∴ 15x + 20 y = 300 ⇒ (2)
Now let us find 2 points in each equation and draw the two lines which represent the two equations
→ In equation 1, put x = 0
∵ x = 0
∵ 0 + y = 17
∴ y = 17
∴ The first point is (0, 17)
→ Put y = 0 and find x
∵ y = 0
∴ x + 0 = 17
∴ x = 17
∴ The second point is (17, 0)
→ In equation 2, put x = 0
∵ x = 0
∵ 0 + 20y = 300
∴ 20y = 300
→ Divide both sides by 20
∴ y = 15
∴ The first point is (0, 15)
→ Put y = 0 and find x
∵ y = 0
∴ 15x + 0 = 300
→ Divide both sides by 15
∴ x = 20
∴ The second point is (20, 0)
Draw the first line using points (0, 17) and (17, 0)
Draw the second line using points (0, 15) and (20, 0)
The graph is attached down
From the graph
The red line represents equation (1)
The blue line represents equation (2)
The two lines intersected at point (8, 9) which is the solution of the system of equations
∴ The solution of the two equations is (8, 9)
∴ Eli worked for 8 hours and Claire worked for 9 hours
Rita and Lumiere are solving a problem about driving to Scream N Barf theme park... They know that the theme park is 30 miles away and that they will drive an average of 15 miles per hour. They need to write an equation and solve it to find out how long it will take to get there.
Rita says they should the formula `d=rt`, where `d` is the distance traveled in miles, `r` is the rate of speed in miles per hour, and `t` is the time in hours.
Lumiere says they should use the equation `t=\frac{d}{r}` instead. Who is right? Explain.
9514 1404 393
Answer:
Lumiere
Step-by-step explanation:
Rita is correct that the relation between distance, speed, and time is given by ...
d = rt
Since they want to find the time, they would have to solve this equation for t, which would give ...
t = d/r . . . . Lumiere's equation
Lumiere has the most direct approach.
Answer:
Step-by-step explanation:
first of all who drives 15 mph, whatever Rita is correct
Please help me PLEASE..Thank you
Answer:
1)=-18x^5+60x^4-50x^3
2)k=3m/2-12
3)6x^2(x+2)(x-2)
Step-by-step explanation:
Hope dis helps :)
could i have brainliest
if the diameter of a circle is 2.5 inches what is the circumference of the circle
Answer:
7.85 inches
Step-by-step explanation:
A cyclist travels 15 km from home to the park.
She leaves home at 14:05 and arrives at the park at 14:50.
What is her average speed in km/h?
Answer:
20km/h
Step-by-step explanation:
use the speed distance time formula
it takes 45mins to get to the park which is 0.75 of an hour
20/0.75 = 20km/h
Please help! Will mark brainliest!
Answer:
2
Step-by-step explanation:
NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!! IM SO CONFUSED
Answer: its -11
Step-by-step explanation:
27-38 = -11
Mary, Bianca and Steve are picking apples. Mary picks 264 apples. 1/6 of these apples are green. Bianca picks 150 apples. 28% of these apples are green. Steve picks 340 apples. 15% of these apples are green. Who picks the most green apples? You must show your working out in your workbooks.
Answer:
Steve picked most green apples among the three people.
Step-by-step explanation:
Given that:
There are three persons Mary, Bianca and Steve who are picking apples.
Few of the apples are green.
We have to find the person who picked the most number of green apples.
Let us first calculate the number of green apples picked by each one of them then we can compare the three values to find the required answer.
Total number of apples picked by Mary = 264
Number of green apples picked by Mary = [tex]\frac{1}{6}[/tex] of the total apples picked by Mary = [tex]\frac{1}{6}\times 264 = 44[/tex]
Total number of apples picked by Bianca = 150
Number of green apples picked by Bianca = 28% of the total apples picked by Bianca= [tex]\frac{28}{100}\times 150 = 42[/tex]
Total number of apples picked by Steve = 340
Number of green apples picked by Steve = 15% of the total apples picked by Steve = [tex]\frac{15}{100}\times 34 = 51[/tex]
We have 3 numbers now, 44, 42 and 51.
Clearly 51 is greatest of them all.
Therefore, Steve picked the most green apples.
PLEASE HELP
Write a simplified expression that represents the perimeter of the rectangle.
Answer:
P = 12x+6 is the answer
Step-by-step explanation:
P = 2(4x+3+2x)
= 2(6x+3)
= 12x+6
g we...
ey
What is the slope of the line that passes through the points (-3, -3) and
(-5, -2)? Write your answer in simplest form.
Answer:
The slope in simplest form is
[tex] - \frac{1}{2} [/tex]
Step-by-step explanation:
Remember:
[tex]slope \: = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
We just plug in and solve.
[tex]slope = \frac{ - 2 - ( - 3)}{ - 5 - ( - 3)} = \frac{ \: \: 1}{ - 2} = - \frac{1}{2} [/tex]
Jerry earns a base salary of 350 per week plus an 8% commission on all sales at his job. Which inequality shows the minimum amount in cells s Jerry must make to earn more than a 500 in a week .
Answer:
D
Step-by-step explanation:
8% in decimal form is written out as 0.08, so right away the answer is either C or D.
Then if you have "s" = 1875, you would get:
350 + (0.08 × 1875) = 500
That would mean any number greater than 1875 will give you a total more than 500.
Therefore the answer is D.
GUYS I NEED HELP ASAP I"LL MARK BRAINLYIST TO first answer. i need to know wht is the value of y in the last unlabelled worksheet pls pls pls help
Answer:
don't know this answer closely relates to
Answer:
90 + 30+60=180
3y=60
y=60/3
y=20
What's the answer????
Answer:
Graph B
This is because of the vertical line test. Say you were to draw a vertical line that stretches through the whole graph. If this line you draw passes through more than two points of the same line/function/whatever b is, it is not a function.
On a survey, 8 students reported how many minutes it takes them to travel to school. Here are their responses. 16, 11, 15, 13, 13, 11, 4, 12
Find the mean travel time for these students.
If necessary, round your answer to the nearest tenth.
Answer:
11.8 or 10
yes
Step-by-step explanation:
i did math:)
Answer:
11.8
Step-by-step explanation:
4+11+11+12+13+13+15+16= 95
95/8= 11.875 simplify
11.8
What is the approximate area of the circle shown below?
A. 616 cm2
B. 22 cm2
C. 44 cm?
D. 154 cm2
Answer:
d)154 cm²
Step-by-step explanation:
πr²
22/7 ×7² cm²
22×7
154cm²
The approximate area of the given circle is 154 square centimeter. Therefore, option D is the correct answer.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
From the given figure, radius of a circle = 7 cm.
Now, area of a circle = 22/7 ×7²
= 22×7
= 154 cm²
Therefore, option D is the correct answer.
Learn more about the area of a circle here:
brainly.com/question/28642423.
#SPJ7
Jim wants to plan a meal with 113 grams of carbohydrates and 1090 calories. If green beans
have 7 grams of carbohydrates and 30
calories per half cup serving and if french fried
shrimp have 9 grams of carbohydrates and 190 calories per three-ounce serving, how many
servings of green beans and shrimp should he use?
1. 11 half cups of beans and 4 three-ounce helpings of shrimp
2. 9 half cups of beans and 7 three-ounce helpings of shrimp
3. 7 half cups of beans and 9 three-ounce helpings of shrimp
4. 4 half cups of beans and 11 three-ounce helpings of shrimp
9514 1404 393
Answer:
1. 11 half cups of beans and 4 three-ounce helpings of shrimp
Step-by-step explanation:
Let x and y represent servings of green beans and shrimp, respectively. Then the number of grams of carbohydrate in the meal is ...
7x +9y = 113
And the number of calories in the meal is ...
30x +190y = 1090
The solution to these equations can be found by your favorite method to be ...
(x, y) = (11, 4)
The appropriate number of servings is ...
1. 11 half cups of beans and 4 three-ounce helpings of shrimp
a.220
b.84
c.168
d.162
i will try to give branliest to whoever answers fastest
Answer:
C
Step-by-step explanation:
find the difference 6/8 -5/8
show your work
Answer:
1/8 or .125
Step-by-step explanation:
Because they fall under the same denominator just subtract the numerator.
6/8 - 5/8 = 1/8
help! if you do this and my other queston 53 points
101 202 505 1010 . . . ? . . .10100 50500
2 . . ? . . . . ? . . .10 . . .50 . . 100 . . . . . ? . .
what are the ?'s
Answer:
5050, 4, 10, 500
Step-by-step explanation:
Hello I need some help with my last Question pls..
Answer:
350
Step-by-step explanation:
The difference is 35, she's spending 35 everyday
i need an example of ‘what is a 3rd degree polynomial with two terms’ ?
Answer:Cubic polynomials are polynomials of degree three. Examples include \begin{align*}x^3+8, x^3-4x^2+3x-5\end{align*}, and so on. Notice in these examples, the largest exponent for the variable is three (3). They are all cubics
Step-by-step explanation:
Convert this percent into a fraction. Make sure your answer is fully reduced. 26%
Eric downloads a coupon for 12% off at Gadgets Galore.
He buys a digital camera for $95 and an extra battery for
$16. What is the discounted total after the coupon is
applied?
Answer:
$97.68
Step-by-step explanation:
$95 + $16 = $111
$111 × 12 = 13.32
$111 - 13.32 = $ 97.68
A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon of gasoline?
Answer:
12 miles
Step-by-step explanation:
The problem above is related to the topic on "Equivalent Ratios." The missing term above is "the number of miles that the vehicle can travel per gallon of gasoline." In order to find this term, you have to use the "cross products."
Let n be the missing term.
[tex]1\frac{1}{8} gallons[/tex]/[tex]13\frac{1}{2} miles[/tex] = [tex]\frac{1 gallon}{n}[/tex][tex]\frac{9}{8} gallons[/tex]/[tex]\frac{27}{2} miles[/tex] = [tex]\frac{1 gallon}{n}[/tex][tex]\frac{9}{8}[/tex] x n = [tex]\frac{27}{2}[/tex] x 1 gallonn = [tex]\frac{27}{2}[/tex] ÷ [tex]\frac{9}{8}[/tex]n = [tex]\frac{27}{2}[/tex] x [tex]\frac{8}{9}[/tex]n = 12 milesTherefore, the vehicle can travel 12 miles per gallon of gasoline.
Answer:
12 miles per gallon of gasoline
Step-by-step explanation:
1 1/8 gallon of gasoline = 13 1/2
9/8 gallon of gasoline = 27/2 miles
1 gallon of gasoline 8 times 27/9 times 2 miles
1 gallon of gasoline = 216/18
1 gallon of gasoline = 12 miles
Hence,the car can travel 12 miles per gallon of gasoline
The rate of traveling is 12 miles per gallon
please help me out here :))
Answer:
no. i mean if u wanna take my points ok thats fine but dont be upset when i take ur points
Step-by-step explanation:
Write the decimal as a fraction or mixed number in simplest form.
0.33
Answer:
Step-by-step explanation:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So, 0.331 = (0.33 × 100)(1 × 100) = 33100.Round the problem to estimate the quotient: 135,296 divided by 16
Answer:
135,296 ÷ 16 = 8,456
Step-by-step explanation:
i think this is the answer
in the first quadrant you start with (2,4) and move 5 units right what point you will end up with ?
Answer:
(7,4)
Step-by-step explanation:
