Answer:
269
Step-by-step explanation:
1) Substitute in the given values for each variable:
6(3)+23+(7)(33)-3
2) Simplify:
18+23+231-3
3) Simplify again:
269
At Santa Maria High School the juniors an
are selling raffle tickets. So far, the juniors
solved 580 tickets and are averaging 29 tickets
day. The seniors have sold 490 tickets but vow to
win the contest by selling an average of 35 tickets
per day. If both grades continue collecting at these
rates, after how many days will the number of
tickets sold be equal?
Answer: 580+29x = 490 + 35x
90 = 6x
15 = x
15 days is your answer
Step-by-step explanation:
4. A square court for playing the game four square has an area of 256 ft?. How long is one
side of the court?
the sum of one and the product of a number and two is thirteen
Answer:
1+2x=13
Step-by-step explanation:
the sum of= +
one=1
products of a number and 2= 2x
equals= =
thriteen=13
Put them all together:
1+2x=13
A man is paid $9.60 per hour for a 40 hour week and he is paid at a time and a half for overtime he worked when his wage for a certain week was $528.00.
Answer:
50 hours.
Step-by-step explanation:
First I found how how much the man was paid in a week for the base 40 hours which was 384. Then i subtracted that from the wage from the week so i could just have the overpay amount which was 144. I then multiplied 9.6 by 1.5 to get the hourly pay for overtime and god 14.4 dollars an hour. Lastly, i divided 144 by 14.4 and got 10 extra hours which got me to my answer of 50 hours because i added the 40 initial hours.
Final answer:
In this case, the man worked 10 hours of overtime.
Explanation:
The question pertains to calculating the regular and overtime pay of a man who earns $9.60 per hour for a standard 40-hour work week and time and a half for any hours worked beyond that. To find how many hours of overtime he worked when he earned $528.00 in a week, we need to use mathematical equations.
First, we calculate the man's regular weekly pay for 40 hours: 40 hours × $9.60/hour = $384.00. Since his total pay is $528.00, the overtime pay is $528.00 - $384.00 = $144.00.
Overtime pay is time and a half, so the overtime rate is $9.60/hour × 1.5 = $14.40/hour. We then divide the total overtime pay by the overtime rate: $144.00 / $14.40/hour = 10 hours of overtime work.
Thus, the man worked 10 hours overtime in addition to his regular 40 hours to make a total of $528.00.
I need help with number 5
Answer:
-14 *F
Step-by-step explanation:
-3 minus 11 is -14
hope this helps
Hey!
-------------------------------------------------
[tex]\large\boxed{A) -14~degrees~fahrenheit}[/tex]
-------------------------------------------------
Steps To Solve:
~Create an equation
-3 - 11
~Subtract
-14
-------------------------------------------------
Hope This Helped! Good Luck!
Draw segment EF so that is bisects RS. Mark their intersection appoint A
Step-by-step explanation:
EF is a segment so it's a line with the end points as E and F. Line RS bisects(cuts in half) line EF. Then where the two lines meet is where A is.
Hope this helped.
EF is a segment so it's a line with the end points as E and F. Line RS bisects(cuts in half) line EF. Then where the two lines meet is where A is.
To draw segment EF so that it bisects segment RS and mark their intersection point A, follow these steps:
Draw segment RS. This will be your starting line segment.
Find the midpoint of segment RS. To do this, measure the length of RS and mark the point that is exactly halfway between R and S. Let's call this point M.
Draw a straight line segment EF that passes through point M. This line segment will bisect segment RS.
Where segment EF intersects segment RS, mark the point of intersection as point A.
To know more about points:
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through(-3,0)and (0,3)
Answer:
Step-by-step explanation:
the equation line passes through(-3,0)and (0,3) is : y=ax+b
a is the slope a = (3-0)/(0+3) = 1
so : y= x +b calculate b line passes through(-3,0)and (0,3)
x=0 y=3 : 3 = 0+b so b= 3
this equation is : y= x+3
Homeowners are building a square closet in a rectangular room that is 24 feet long and 18 feet wide. They want the remaining floor area to be at least 400 square feet. Because they don’t want to cut any of the 1 foot by 1 foot square floor tiles, the side length of the closet floor should be a whole number of feet. Make a table showing possible side lengths of the closet floor and the remaining area for each side length.
Answer: i can't speak english
Step-by-step explanation:
Draw a model. Then, write the numerical expressions.
a. The difference between 8 forty-sevens and 7 forty-sevens
b. 6 times the sum of 12 and 8
Answer with Step-by-step explanation:
a. The difference between 8 forty-sevens and 7 forty-sevens
Let ⊕ repesents forty- sevens.
So, Model can be represented by
8⊕ - 7⊕
=⊕⊕⊕⊕⊕⊕⊕⊕-⊕⊕⊕⊕⊕⊕⊕
=⊕
Mathematically,
let x represents forty-sevens.
So, it becomes
[tex]8x-7x=x[/tex]
b. 6 times the sum of 12 and 8.
Mathematically, it is expressed as
[tex]6\times (12+8)\\\\=6\times 20\\\\=120[/tex]
Let 12 be written as 4×3
and 8 be written as 4×2
Let ⊕ represents 4 i.e. fours.
so, there are sum of 2 fours and 3 fours.
So, it becomes,
6×(⊕⊕+⊕⊕⊕)
=6×(⊕⊕⊕⊕⊕)
=⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕
=4×30
=120
Answer:
thanks
Step-by-step explanation:
Simplify (3x2 − 2) + (5x2 + 5x − 1).
Answer: 9
The steps are in the picture
Answer:
8x² + 5x - 3
Step-by-step explanation:
Given
(3x² - 2) + (5x² + 5x - 1)
Since both parenthesis are distributed by 1 just remove them, that is
3x² - 2 + 5x² + 5x - 1 ← collect like terms
= (3x² + 5x²) + 5x + (- 2 - 1)
= 8x² + 5x - 3
Rosa has 412 punds of pizza dough. She uses 34
of a pound for one pizza. How many pizzas could be made from Rosa's dough?
Need help with question 9
Hey!
----------------------------------------------------------------
Solution:
I would assume that the iron intake is combined between breakfast and lunch. So 8.25mg is too meals worth of iron. So all we have to do is subtract.
15 - 8.25 = 6.75
----------------------------------------------------------------
Answer:
6.75mg are still needed for his daily intake.
----------------------------------------------------------------
Hope This Helped! Good Luck!
Solve the inequality -5(3x+4)<6-3x
Answer:
x>-13/6
Step-by-step explanation:
First you multiply inside the bracket by -5 on left side. You get
-15x-20<6-3x
Then you place the like terms on same sides for which you add 3x to both side to get rid of 3x from right side and you add 20 to both sides to get ride of 20 from left side
-15x+3x<20+6
then you solve for x
-12x<26
x<-26/12
x> -13/6 (the inequality sign changes due to multiplication by a negative number)
Describe a real world situation that can be represented by the quotient -85\15.
Final answer:
A real world situation that can be represented by the quotient -85/15 is paying off a credit card debt.
Explanation:
A real world situation that can be represented by the quotient -85/15 is the following:
Suppose you owe $85 on your credit card and you make monthly payments of $15. You want to know how many months it will take for you to pay off your debt completely.
To find the answer, you divide the amount you owe ($85) by the monthly payment ($15):
-85/15 = -5.67
This means it will take approximately 5.67 months to pay off your debt.
What is the value of y if 6y -2 = 34
Answer:
y = 6
Step-by-step explanation:
Given
6y - 2 = 34 ( add 2 to both sides )
6y = 36 ( divide both sides by 6 )
y = 6
Answer:
y = 6
Step-by-step explanation:
6y - 2 = 34
+2 +2
6y = 36
--- -----
6 6
y = 6
a has a coordinate (-2,4). B has a coordinate (9,11). find the coordinate of point p has a p that partion AB into a ratio 3:4
Answer:
see explanation
Step-by-step explanation:
Using the Section formula, then
[tex]x_{P}[/tex] = [tex]\frac{3(9)+4(-2)}{3+4}[/tex] = [tex]\frac{27-8}{7}[/tex] = [tex]\frac{19}{7}[/tex]
and
[tex]y_{P}[/tex] = [tex]\frac{3(11)+4(4)}{3+4}[/tex] = [tex]\frac{33+16}{7}[/tex] = [tex]\frac{49}{7}[/tex] = 7
Hence
P = ( [tex]\frac{19}{7}[/tex], 7 )
What is the highest common factor of 24 and 76
Answer:
4 is the highest common factor
Answer:
The highest common factor is 4
Step-by-step explanation:
Factors of 24 are { 1,2,3,4,6,8,12.......}
And factors of 76 are{ 1,2,4,19......)
from the two factors,
common factor ( C. F ) ={1,2,4}
and from the common factors, the highest is 4
Therefore 4 is the highest common factor for 24 and 76.
Gustavo wants to buy more than two sandwiches at the city fair. There are three sandwich stands, and each is offering a different deal.
Benny's Sandwiches 4 sandwiches for $5.00
ABC Sandwiches, Inc. 4 sandwiches for $6.00
Sandwich Hut 1 sandwich for $2.00 *Buy 1, get 1 Free*
Answer:
sandwich hut is the best deal (what's the question????)
Step-by-step explanation:
because sandwich hut is buy one get one free, one sandwich costs $1.00 ($2 divided by 2 sandwiches)
Benny's costs $1.25 per sandwich ($5 divided by 4 sandwiches)
ABC costs $1.50 per sandwich ($6 divided by 4 sandwiches)
Answer:
Sandwich hut is the best deal.
Step-by-step explanation:
Find the unit rate of each stand, and you find which one is the best deal.
Triangle ABC has a perimeter of 12 units. The vertices of the triangle are A(x,2), B(2,-2), and C(-1,2). Find the value of x.
Answer:
The value of x is 2
Step-by-step explanation:
* Lets explain how to find a distance between 2 points
- If the endpoints of a segment are [tex](x_{1},y_{1})[/tex] and
[tex](x_{2},y_{2})[/tex] is [tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
- Triangle ABC has a perimeter of 12 units
∵ The perimeter of any triangle is the sum of lengths of its sides
∴ P Δ ABC = AB + BC + AC
* Lets find the length of the three sides
∵ A = (x , 2) , B = (2 , -2) , C = (-1 , 2)
∵ [tex]AB=\sqrt{(2-x)^{2}+(-2-2)^{2}}[/tex]
∴ [tex]AB=\sqrt{(2-x)^{2}+(-4)^{2}}[/tex]
∴ [tex]AB=\sqrt{(2-x)^{2}+16}[/tex]
∵ [tex]BC=\sqrt{(-1-2)^{2}+(2--2)^{2}}[/tex]
∴ [tex]BC=\sqrt{(-3)^{2}+(4)^{2}}[/tex]
∴ [tex]BC=\sqrt{9+16}[/tex]
∴ [tex]BC=\sqrt{25}[/tex]
∴ BC = 5
∵ [tex]CA=\sqrt{(x--1)^{2}+(2-2)^{2}}[/tex]
∴ [tex]CA=\sqrt{(x+1)^{2}+(0)^{2}}[/tex]
∴ [tex]CA=\sqrt{(x+1)^{2}}[/tex]
- The √ is canceled by power 2
∴ CA = (x + 1)
∵ AB + BC + CA = 12
∴ [tex]\sqrt{(2-x)^{2}+16}[/tex] + 5 + (x + 1) = 12
- Add 5 and 1
∴ [tex]\sqrt{(2-x)^{2}+16}[/tex] + 6 + x = 12
- subtract 6 and x from both sides
∴ [tex]\sqrt{(2-x)^{2}+16}[/tex] = (6 - x)
- To cancel (√ ) square the two sides
∴ (2 - x)² + 16 = (6 - x)²
- Simplify the two sides
∴ [(2)(2) + (2)(2)(-x) + (-x)(-x)] + 16 = (6)(6) + (2)(6)(-x) + (-x)(-x)
∴ 4 - 4x + x² + 16 = 36 - 12x + x²
- Subtract x² from both sides
∴ 20 - 4x = 36 - 12x
- Add 12x to both sides and subtract 20 from both sides
∴ 12x - 4x = 36 - 20
∴ 8x = 16
- Divide both sides by 8
∴ x = 2
* The value of x is 2
What is the domain of the function y=2.X-6?
E OF
O
O 05x<
O 35x<<
O 65x<0
Answer:
6 ≤ x < ∞
Step-by-step explanation:
The value of x cannot be less than 6 because that would make the term in the square root part negative. There is no real square root of a negative vale.
explain how you would find how many 1 1/2 cup servings there are in a pot that contains 22 1/2 cups of soup.
Step-by-step explanation:
multiply the 1 1/2 by 2 to get 3.
find the closest number that is divisible by 3
3*7 is 21.
We now have to multiply 7 by 2 since we did that to our mixed number to get a whole number.
There is still a 1 1/2 left over. Simply add 1 to 14.
Answer:
15 servings
Step-by-step explanation:
Given,
Total number of cups = [tex]22\frac{1}{2}[/tex]
The number of cups required for each serving = [tex]1\frac{1}{2}[/tex]
Thus,
[tex]\text{The number of servings}=\frac{\text{Total cups}}{\text{cups required for each serving}}[/tex]
[tex]=\frac{22\frac{1}{2}}{1\frac{1}{2}}[/tex]
[tex]=\frac{\frac{45}{2}}{\frac{3}{2}}[/tex]
[tex]=\frac{45}{3}[/tex]
= 15
a certain fish can swim 6 1/3 times faster than a person. if a person swims 5 7/8 miles per hour, how fast can the fish swim?
Answer: 37.2204mph
Step-by-step explanation: First, I converted 5 7/8 into 5.88 then I converted 6 1/3 into 6.33 and then multiplied the two then I got my answer.
Answer:
37 5/24 mph
Step-by-step explanation:
You need to multiply the numbers. First, convert them into fractions.
6 1/3 * 5 7/8 =
= (6 + 1/3) * (5 + 7/8)
= (6/1 + 1/3) * (5/1 + 7/8)
= (18/3 + 1/3) * (40/8 + 7/8)
= (19/3) * (47/8)
= 893/24
= 37 5/24
Giving 15 points help
Image:
Answer: To find out the unlabeled one on the inside subtract 180- 123, then you Get 57. Now do 180 = 57 + x +
92. Add up the whole numbers to get 180 = 149 + x now subtract 149 from 180, to get 31 and it equals x TADA
Step-by-step explanation:
A suitcase is a rectangular prism whose dimensions are 1 3/4 feet by 1 3/4 feet by 2 1/4 feet. Find the volume of the suitcase. Enter the answer as a mixed number in simplest form.
The volume of a rectangular prism is found by multiplying its length, width, and height. Given the dimensions as 1 3/4 ft by 1 3/4 ft by 2 1/4 ft, when converted to improper fractions and multiplied together, we find that the volume of the suitcase is 220.5 cubic feet.
Explanation:The subject of the student's question is focused on the mathematical concept of volume, specifically the volume of a rectangular prism. To find the volume of the suitcase, we need to multiply the length, width, and height of the suitcase. Given that the suitcase's dimensions are 1 3/4 ft by 1 3/4 ft by 2 1/4 ft, we first convert these mixed numbers into improper fractions (7/4 ft by 7/4 ft by 9/4 ft). Then, we multiply them together:
Volume = Length x Width x Height.
Volume = (7/4 ft) x (7/4 ft) x (9/4 ft) = 220.5 ft³.
The volume of the rectangular prism (suitcase) is 220.5 cubic feet.
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(2x - 3) + [4x(3x + 2)] what is the answer
Answer:
22x-3
Step-by-step explanation:
(2x-3)+[4x(3x+2)]
(2x-3)+12x+8x
2x-3+20x
12x^2
I need a story for 24-(6+3) I’m super confused cause all the stories here are hard for me to understand
Answer:
Are there any options for this question?
Step-by-step explanation:
I cant answer it without options.
7. Below are the points that Jesse scored in each game during the basketball season.
12, 15, 14, 12, 4, 8
Which of the following values would increase his mean number of points scored? Choose all that apply.
13
10
08
12
Answer:
13, 12, and 11. Im on connexus and when i submitted it said those are the correct answers. Hope it helps! :)
Step-by-step explanation:
1 pound is now many grams
The answer is "453.592 grams." One pound does indeed equal 453.592 in grams.
Hope this helps.
Round the following numbers to the nearest 100. The numbers they have 324,558,256
Answer:
300, 600, 300.
Step-by-step explanation:
324: The tens digit is 2 so we do nothing to the hundreds digit so its 300.
558: The tens digit is 5 so we round up the 5 . So it is 600.
In a similar way 256 becomes 300.
Answer:
300, 600, 300
Step-by-step explanation:
When you round a number up by the nearest 100. The digit in the tens place must be equal to or more than 5.
For example: 250 is rounded up to 300, but 240 can not be rounded up to 300.
When you have a number like 240, it can only be rounded down to 200
324 is rounded down to 300 because the tens place digit is less than 5
558 is rounded up to 600 because the tens place digit is higher than 5.
256 is rounded up to 300 because the tens place digit is 5.
Brice had $73 and then he earned d more dollars. Write an expression that shows how much money he has now.
Answer:
73+d
We don’t know what d equals so leave the variable, then just add the 73 he already had.
Step-by-step explanation: