The value of the expression is 17.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
r + 4
When r = 13
r + 4
= 13 + 4
= 17
Thus,
The value is 17.
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Create a word problem that can be represented by the following system of equations.
X + y = 50
2x + 4y = 120
Answer:
Step-by-step explanation:
You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars
The total tickets sold on Saturday was 50
The train station made 120
How many adult tickets and kid tickets did they sell?
(40 kids, 10 adults)
A pen cost $40 and the book cost $10
The word problem that can be represented by the equation is: John bought one pen and one book for $50. He went the next day and bought 2 pens and 4 books for $120.
x + y = 50 ....... i
2x + 4y = 120 .... ii
Let x = pen
Let y = book.
From equation i, x = 50 - y
Since 2x + 4y = 120
2(50 - y) + 4y = 120
100 - 2y + 4y = 120
Collect like terms
-2y + 4y = 120 - 100
2y = 20
y = 10
Therefore, a book cost $10
Since x + y = 50
x + 10 = 50
x = 50 - 10
x = 40
A pen cost $40
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find the LCD for each set of rational expressions.
x/2x + 16 and -4x/3x - 27
please help!! fast!!
Leon bought 3 slices of pizza for himself and his friends. He spent a total of $7.50. Let p represent the price of one slice of pizza. Write an Algebraic Equation for the situation. Solve the Equation.
Plz do a step by step with the question
this will be for 35 points
Answer:
3p = 7.50 its something like that but hoped this helped
Step-by-step explanation
7.50 divided by 3
2.50
p= 2.50
i am really stuck in this one so help?
Answer: 7
Step-by-step explanation:
15-8 is 7
what is |8|
-16
–8
8
16
Answer:
8
Step-by-step explanation:
Anything in an absolute value is positive.
What is 13/20 as a part to part ratio
65%
Convert fraction (ratio) 13 / 20 Answer: 65%
. If you walk around a circular path TWICE, and the circle has a diameter of 100 m, how far did you walk in TOTAL?
The total distance traveled was 638.3m.
How to calculate the distance traveled?To calculate the perimeter of a circle we perform the following operations:
We must keep in mind that the radius of a circle is equal to half the diameter, so the radius of this circle is 100m divided by 2.
100m ÷ 2 = 50mSo the radius of this circle is 50m.
Subsequently, to find the perimeter of the circle we apply the following formula:
2 × π × radius of the circle = perimeter of the circle.2 × 3.14 × 50 = 314.15mAccording to this operation, the distance traveled in one lap would be 314.15m. So in two turns it would be:
314.15m × 2 = 638.3m
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In a box there are 150 beads of red and blue colour. If there are 50 beads of red colour, find the ratio of red beads to blue beads.
Answer:
30 is the ratio
Step-by-step explanation:
-_-
HELP PLEASE WILL GIVE BRAINLIST
Which is the greater rate, 15 miles in 12 minutes or 25 miles in 20 minutes?
Graph the line.
y=4/3x
Answer:
Start from (0,0) and do rise over run
Step-by-step explanation:
Rise 4
Run 3
For the III (3rd) quadrant use
Rise -4
Run -3
1) What number comes after 234 base 5. Explain
2)What number comes before 210 base 5. Explain
9514 1404 393
Answer:
1) 240
2) 211
Step-by-step explanation:
The counting sequence in base 5 is similar to that in base 10, except the digits 5 through 9 are not used. The first few counting numbers are ...
1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, ...
When 1 is added to 4 in the units place, a carry to the fives place is generated and the units digit is returned to zero.
234₅ +1 = 240₅
210₅ +1 = 211₅
Help, ill give brainliest to those who answer first and those who answer accurately
Answer:
d
Step-by-step explanation:
The measure of angle D is 55°, the measure of angle E is 85°, and
the measure of angle F is 10x. What is the value of x?
[tex]x = 4[/tex]
55+85=140
180-140=40
10x=40
divide by ten on each side
x=4
Select all the expressions that are equal to the product of 18 and 6.
Answer: 108
Step-by-step explanation:
product means x 's so there for 18x6= 108
3x + y = 19
2x - y = 6
Answer:
Step-by-step explanation:
(x,y)=(5,4)
Someone was interested in determining if there is a difference in the proportion of US adults that working hard was the most important thing for a child to learn in 2012 and 2018. They found data on this in the General Social Survey. In 2018, out of 1542 respondents, 415 said it was the most important. In 2012, out of 1323 respondents, 326 said it was the most important. Find the margin of error with 95% confidence.
Answer:
0.01521
Step-by-step explanation:
The Margin of Error for Difference in Proportions is given as:
z × √p1 × (1 - p1)/n1 - p2 × (1 - p2)/n2
z = z score for 95% confidence interval
= 1.96
In 2018, out of 1542 respondents, 415 said it was the most important.
p1 = x1/n1
x1= 326 n1 = 1323
p1 = 326/1323
0.246409675
Approximately = 0.246
In 2012, out of 1323 respondents, 326 said it was the most important.
p2 = x2/n2
x2 = 415, n2 = 1542
p2= 415/1942
p2 = 0.2136972194
Approximately = 0.214
Margin of Error =
1.96 × √0.246× (1 - 0.246)/1323- 0.214 × (1 - 0.214)/1542
1.96 × √0.0005699169 - 0.0005097276
1.96 × √(0.0000601893)
1.96 × 0.0077581763
= 0.0152060256
Approximately = 0.01521
Therefore, Margin of Error = 0.01521
You can use the formula for margin of error for difference in proportion to find the margin of error with 95% confidence.
The margin of error with 95% confidence for the given data is given by
MOE = 0.32
How to calculate margin of error for difference in proportion to find the margin of error ?Suppose we've two samples with sample sizes [tex]n_1[/tex] and [tex]n_2[/tex] respectively. Let the interested quantities found out in those samples out of their sample sizes are [tex]x_1[/tex] and [tex]x_2[/tex] respectively. Then we have the margin of error for difference in proportion to find the margin of error as:
[tex]MOE = Z_{\alpha/2} \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]
where we have:
[tex]p_1 = \dfrac{x_1}{n_1}\\\\p_2 = \dfrac{x_2}{n_2}[/tex]
and
[tex]\alpha = \text{Level of significance}[/tex]
Using the given data to get the margin of error[tex]Year = 2015\\n_1 = 1542\\x_1 = 415\\\\Year = 2012\\n_2 = 1323\\x_2 = 326\\\\\alpha = 100-95\% = 1-0.95 = 0.05[/tex]
For 95% confidence, we have Z score as 1.96
The proportions are calculated as:
[tex]p_1 = \dfrac{415}{1542} = 0.269\\\\p_2 = \dfrac{326}{1323} = 0.246[/tex]
Thus, margin of error is calculated as
[tex]MOE = 1.96 \times \sqrt{\dfrac{0.269 \times 0.731}{1542} + \dfrac{0.246 \times 0.754}{1323}} = 1.96 \times \sqrt{0.000127 + 0.00014}\\\\MOE = 1.96 \times 0.01634 = 0.032[/tex]
The margin of error with 95% confidence for the given data is given by
MOE = 0.32
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On a scale drawing, the scale is 12 inch = 1 foot. What are the dimensions on the scale drawing for a room that is 22 feet by 17 feet?
Answer:
......
Step-by-step explanation:
Answer
11 inches by 8.5 inches
Step-by-step explanation:
We can use proportions to solve this problem, drawing on top, real life on bottom
1/2 inch x inches
-------------- = ----------
1 ft 22ft
Using cross products
1/2 * 22 = x*1
11 =x
11 inches
1/2 inch x inches
-------------- = ----------
1 ft 17ft
Using cross products
1/2 * 17 = x*1
8.5 =x
please help me please please
Answer the question plz
Answer:
1) A- 95
2) B- 125
Step-by-step explanation:
1) 50 + 35+x = 180
85 +x = 180
x = 180- 85
= 95
2) 70 +80 + 85+d = 360
235 + d = 360
d = 360 - 235 = 125
I Hope im right!
William earns £9.30 for 1 half hours of work.
Work out how much he would earn for:
A) 30 minutes
B) 5 hours
Answer:
a)3.10
b)31
Step-by-step explanation:
a) 1 half hour = 90 min
90÷30=3
9.30÷3=3.10
b)5 hrs -> 300 min
300÷30=10
10x3.10=31
Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?
Answer:
T = 2.5
Step-by-step explanation:
Hope this helps!
Answer:
T >2.5
Step-by-step explanation:
Whats your zodiac sign?
Answer:
cancer the worst
Step-by-step explanation:
A soccer team must raise at least $660 buy new equipment. To reach this goal, each of the 12 soccer players sells tickets
to a game. Tickets cost $2.75 each. The school athletics fund donates an additional $10 per player. The situation is
modeled by the inequality shown,
12(2.75r + 10) 660
How many tickets must each player sell to raise the money?
A at least 19
B at least 17
C at least 16
D at least 20
Answer:
At least 17
Step-by-step explanation:
12(2.75r+ 10)≥ 660
33r+120≥ 660
33r≥ 540
r≥ 16.36
You can't sell 0.36 of a ticket to they need at least 17
hello can anyone help me with this one questions?
Answer: c
Step-by-step explanation:
Which expression is equivalent to (8x - 1) (4x + 3) ?
Answer:
A
Step-by-step explanation:
multiplying both the equation
A TV originally priced at $800 was reduced to $600. What was the percentage discount given?
Answer:
20%
Step-by-step explanation:
One number is six more than five times another number. If the sum of the numbers is 24, find the numbers.
Answer:
x = 21 and y = 3
Step-by-step explanation:
We can write the sentences in math form, using "x" for one of the unknown numbers, and "y" for the other:
One number is six more than five times another number.
x = 5 y + 6
the sum of the numbers is 24
x + y = 24
solve for x in the second equation:
x = 24 - y
Use this to replace x in the first equation:
24 - y = 5 y + 6
add y to both sides
24 = 6 y + 6
subtract 6 from both sides to isolate the term in y
18 = 6 y
divide both sides by 6
y = 3
And now we can find x using:
x = 24 - y = 24 - 3 = 21
Therefore, x = 21 and y = 3
What is the slope of the line with the equation -5 - x = y?
O 5
O 1
O -1
O-5
Answer:
-1
Step-by-step explanation:
What ever number is in front of x that is the answer. If there is only a x then it means 1.
Write a division equation that represents the question: how many (3/8)s are in (5/4)
i need answers
Answer:
5/4 ÷ 3/8
Step-by-step explanation: