Step 1
Convert mixed numbers to an improper fractions
[tex]3\frac{1}{2} =\frac{3*2+1}{2}= \frac{7}{2}[/tex]
[tex]1\frac{3}{4} =\frac{1*4+3}{4}= \frac{7}{4}[/tex]
Step 2
Find the total cost
we know that
the total cost is equal to the cost of the gallons of white paint plus the cost of the gallons of blue paint
the cost of the gallons of white paint is equal to
[tex]\frac{7}{2}*17.50= \$61.25[/tex]
the cost of the gallons of blue paint is
[tex]\frac{7}{4}*19.00= \$33.25[/tex]
The total cost is
[tex]\$61.25+\$33.25=\$94.50[/tex]
therefore
the answer is
the total cost is [tex]\$94.50[/tex]
A square tile has an area of 49 square inches. What is the length of this tile?
The length of square tile is 7 inches
What is square?
A square is a four-sided polygon with sides that are all the same length and angles that are all exactly 90 degrees. The square's shape ensures that both parts are symmetrical if it is divided down the middle by a plane. The square is then divided in half, with the sides of each half being equal.
A square is simply a rectangle with an equal length and width. Since the length and width are equal, the area is still length x width, hence the correct formula is to find a number multiplied by itself that equals 49. 49 is a perfect square, so this is 7, because. If the number was challenging or you didn't know your squares, you could use your calculator to find 49.
Given: the area of square = 49 square inches
Formula used: area of square- side x side
Since,
area of square= side x side
=> area of square = side²
=> 49 = side² [ given: area of square= 49 ]
=> √ 49 = side [ by taking the square root both side]
=> 7 = side
since, the side of the square = length of the square
Length = 7 inches
So, the length of the square tile is 7 inches
To learn more about: area of square
Ref : https://brainly.com/question/14188562
#SPJ2
If the state sales tax rate is 8%, how much money will you need to purchase a pair of jeans costing $29.99 and a shirt costing $16.99?
A. $3.75
B. $3.76
C. $50.73
D. $50.74
during a basketball game jorell attempted 40 shots and made 18.He says he made 40% of the shots he took.Is Jorell correct?
division problems with quotient 9 remainder 5
Mary has 95 apples. Distributing 9 apples per friend and keeping 5 for herself, the quotient is 9, and the remainder is 5. Mary has 10 friends.
Mary has 95 apples and wants to distribute them equally among her friends, giving each friend 9 apples. However, she decides to keep 5 apples for herself. This situation can be represented by a division problem with a quotient of 9 and a remainder of 5.
The division equation is expressed as[tex]\( D = (q \times d) + r \),[/tex] where \( D \) is the total number of apples (95), \( q \) is the quotient[tex](9 apples per friend), \( d \)[/tex] is the number of friends, and \( r \) is the remainder (5 apples Mary kept). Substituting the given values into the equation:
[tex]\[ 95 = (9 \times \text{number of friends}) + 5 \][/tex]
To find the number of friends, rearrange the equation:
[tex]\[ 90 = 9 \times \text{number of friends} \][/tex]
Solving for the number of friends:
[tex]\[ \text{Number of friends} = \frac{90}{9} = 10 \][/tex]
Therefore, Mary has 10 friends, and each friend receives 9 apples, with Mary keeping the remaining 5 for herself.
Learn more about remainder here:
https://brainly.com/question/29347810
#SPJ6
The probable question maybe:
Question: Mary has 95 apples. She wants to distribute them equally among her friends. If she gives each friend 9 apples and keeps the remaining 5 for herself, how many friends does Mary have?
Given statement: Division problem with quotient 9 and remainder 5.
Rewrite the expression as the product of two factors: 6m +8n +4
Ali has 2 vegetable pizzas that she cuts into eighths. how many 1/8 slices does she have
The formula for the area of the triangle is A = 1/2bh.
What is the length of the base, b, of a triangle with an area, A, of 110 m2 and a height, h, of 10 m?
The length of the base b of the triangle is 22 meters.
To find the length of the base b of a triangle when the area A and height h are known, we can rearrange the formula for the area of a triangle:
[tex]\[ A = \frac{1}{2}bh \][/tex]
We want to solve for b, so we can rewrite the formula as:
[tex]\[ b = \frac{2A}{h} \][/tex]
Now, we can substitute the given values into the formula:
[tex]\[ b = \frac{2 \times 110}{10} \\\[ b = \frac{220}{10} \][/tex]
b = 22
So, the length of the base b of the triangle is 22 meters.
what is .006 in word form
Holly earns $2 for each window she cleans. Write an equation to show the relationship between the number of windows she cleans,x.and the amount she earns y.
how do i round 4,719,429 to the nearest 10,000
HELP ME PLEEASE!
Lilli jogs 1/2 mile in 1/10 hour. What is Lilli's rate in miles per hour? Drag and drop the correct value into the box.
carter claims he can run 10,000 centimeters in 14 seconds express his claim in more appropriate terms
Final answer:
To express Carter's claim appropriately, his running speed is 7.14 meters per second, calculated by dividing 100 meters by 14 seconds.
Explanation:
Carter claims he can run 10,000 centimeters in 14 seconds. To express his claim in more appropriate terms, we need to convert the distance from centimeters to meters and then calculate his average speed. There are 100 centimeters in a meter, so 10,000 centimeters is 100 meters.
Now, using the formula for speed which is distance divided by time, Carter's claimed speed would be:
Speed = Distance ÷ Time
Speed = 100 meters ÷ 14 seconds
Speed = 7.14 meters per second (m/s)
This can be compared to Olympic sprinters, such as Usain Bolt, who set the world record for the 100 meter dash with an average running rate above 10 m/s.
Daniel worked for 2 1/3 hours and earned $18.20, how much would he make if he worked for 5 1/4 hours?
To find out how much Daniel would make if he worked for 5 1/4 hours, divide his earnings in 2 1/3 hours by the number of hours worked. Multiply the hourly rate by 5 1/4 to calculate the total earnings.
Explanation:To find out how much Daniel would make if he worked for 5 1/4 hours, we need to determine his hourly rate first. We can do this by dividing the amount he earned in 2 1/3 hours ($18.20) by the number of hours he worked.
2 1/3 hours is equal to 7/3 hours. So, his hourly rate would be $18.20 / (7/3) hours.
To calculate how much he would make if he worked for 5 1/4 hours, we multiply his hourly rate by 5 1/4.
Let's perform the calculations:
And an equation to 7*3.8
$29,000 4%decrease
29,000•.04= 1160.00
29,000-1160.00=27,840
the sale tax rate in Jans town is 7.5% if she buys 3 lamps for $23.59 each and a sofa for $769.99, how much sales tax does she owe?
Answer:
She owes $63.06 in sales tax.
Step-by-step explanation:
Cost of Lamps =
23.59*3= $70.77
Sofa = $769.99
Add them
769.99+70.77
=840.76
Percentage
7.5/100 *840.76
= 63.057
She owes $63.057 to sales tax
If you need to round the answer of $63.057, it would be rounded to $63.06.
every second a security camera turns 1° clockwise and takes a photograph. The camera does this for 75 seconds. What is the total measure, in degrees, of the angle tirned by the camera ?
What digit can be in the ones place of a number that has 5 as a factor?
60 POINTS which part of the skeleton helps produces cells
0.04 is 10 times as much as
What is a Cartesian coordinate plane (math)
Find the missing factor: 5w=45
A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate of change during the 40-minute time of talk?
A. The average rate of change is $1.00, meaning that for every ten minutes of talk time, the monthly bill increases by $1.00.
B. The average rate of change is $1.00, meaning that for each minute of talk time, the monthly bill increases by $0.10.
C. The average rate of change is $0.10, meaning that for every ten minutes of talk time, the bill increases by $0.10.
D. The average rate of change is $0.10, meaning that for each minute of talk time, the monthly bill increases by $0.10.
The City of Oz has to repaint its cylinder-shaped water tower. Only the top and sides need to be painted. If the water tower has a height of 60 feet and a radius of 20 feet, how many square feet must be painted? A) 400π ft2 B) 2400π ft2 Eliminate C) 2800π ft2 D) 4400π ft2
Of the 101 times I squirte with Dad with a hose last summer, the number of times I missed is 31 more than the number of times I got him wet. How many of the 101 squirts missed Dad?
After setting up the equation x + (x + 31) = 101, where 'x' is the number of times the student got dad wet, we find that x equals 35. This means the student hit dad 35 times and missed 66 times out of 101 squirts.
Explanation:To solve the question, we can use algebra to set up an equation. Let's define 'x' as the number of times the student got dad wet with the hose. According to the problem, the number of times the student missed is '31 more than the number of times they got dad wet', so we will express this as x + 31. Combined, the times the student hit dad and missed adds up to 101 squirts in total, which gives us the equation x + (x + 31) = 101.
To find out how many squirts missed dad, we need to solve the equation:
Combine like terms: 2x + 31 = 101Subtract 31 from both sides: 2x = 70Divide both sides by 2: x = 35This shows that the student got dad wet 35 times. To find the number of misses we take the total number of squirts (101) and subtract the number of hits (35), which leaves us with 66 misses.
Learn more about Algebraic Problem Solving here:https://brainly.com/question/30042644
#SPJ2
What is the probability of rolling a number greater than 7 on a 12 sided number cube
The tallest man ever recorded was Robert Wadlow,who was 272 cm tall.The tallest women on record was Zeng jinlian?Her height was 91% of Wadlows's height.(Round to the nearest cm).
Zeng Jinlian was 91% of Robert Wadlow's 272 cm height, resulting in her being approximately 248 cm tall after rounding. Extreme heights can be caused by conditions related to the endocrine system.
Explanation:The student has asked how tall was Zeng Jinlian, knowing that she was 91% of the height of Robert Wadlow, who was 272 cm tall. To calculate Zeng Jinlian's height, we need to take 91% of Robert Wadlow's height.
First, convert 91% to a decimal: 91% = 0.91.Then, multiply Robert Wadlow's height by this decimal: 272 cm × 0.91 = 247.52 cm.Finally, round the result to the nearest centimeter: Zeng Jinlian was approximately 248 cm tall.Growth to such extreme heights is often due to conditions affecting the endocrine system. For example, a tumor in the pituitary gland can lead to an overproduction of growth hormone, causing conditions like gigantism or acromegaly.
What is 57.8 Divided by 81?
At a summer camp the ratio of cabins to campers is 15 to 255 and equal number of campers are staying in each cabin how many campers are in each cabin
Write an equation in slope-intercept form for the line that passes through the
given point and is parallel to the given line: (-7, 3); x = 4. Please include steps on how you got the equation as well :)