The combined cost for 1 pound of turkey and 1 pound of ham is $10.5
Step-by-step explanation:
Let,
Turkey = x
Ham = y
According to given statement;
4x+2y=30 Eqn 1
x = y-1.50 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
[tex]4(y-1.50)+2y=30\\4y-6+2y=30\\6y=30+6\\6y=36[/tex]
Dividing both sides by 6
[tex]\frac{6y}{6}=\frac{36}{6}\\y=6[/tex]
Putting y=6 in Eqn 2
[tex]x=6-1.50\\x=4.5[/tex]
1 turkey costs $4.5 and 1 ham costs $6.
Combined cost of 1 pound of turkey and ham each = 4.5+6=$10.5
The combined cost for 1 pound of turkey and 1 pound of ham is $10.5
Keywords: linear equations, subtraction
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are you able to simplify 3/9?
Answer:
Yes
Step-by-step explanation:
3 and 9 are both divisible by 3. Divide 3 and 9 by 3. You would get the fraction 1/3. You cannot simplify this fraction anymore.
~Stay golden~ :)
A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of the water is 4.75 feet. The equation 4.75 = x +(-0.25) can be used to find x, the original height of the water in a pool.
The original height of the water level in pool is 5 feet
Solution:Given that , A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours.
After the leak is fixed, the height of the water is 4.75 feet.
The equation 4.75 = x + (- 0.25) can be used to find x, the original height of the water in a pool.
So by solving the given equation and finding value of "x" gives the original height of water in pool
We have to find the original height of the water level in the tank.
So, let us solve the given equation
[tex]\begin{array}{l}{\rightarrow 4.75=x+(-0.25)} \\\\ {\rightarrow 4.75=x-0.25} \\\\ {\rightarrow x=4.75+0.25} \\\\ {\rightarrow x=5}\end{array}[/tex]
Hence, the original height of the water level is 5 feet
Answer5 feet
Step-by-step explanation:
How many 3/5 are in 15 3/5
Answer:
26
Step-by-step explanation:
15 3/5=78/5
(78/5)/(3/5)=(78/5)(5/3)=78/3=26
There are 26 three-fifths in fifteen and three-fifths.
To find out how many times [tex]\frac{3}{5}[/tex] is in [tex]15 \frac{3}{5}[/tex], we follow these steps:
Convert the mixed number [tex]15 \frac{3}{5}[/tex] into an improper fraction.
[tex]15 \frac{3}{5} = 15 + \frac{3}{5} = \frac{15 \times 5}{5} + \frac{3}{5} = \frac{75}{5} + \frac{3}{5} = \frac{75 + 3}{5} = \frac{78}{5}[/tex]
Divide [tex]\frac{78}{5}[/tex] by [tex]\frac{3}{5}[/tex].
To divide fractions, we multiply by the reciprocal:
[tex]\frac{78}{5} \div \frac{3}{5} = \frac{78}{5} \times \frac{5}{3} = \frac{78 \times 5}{5 \times 3} = \frac{390}{15}[/tex]
Simplify [tex]\frac{390}{15}[/tex].
Divide the numerator and the denominator by their greatest common divisor (GCD), which is 15:
[tex]\frac{390 \div 15}{15 \div 15} = \frac{26}{1} = 26[/tex]
what is the algebraic expression for 7 more than a number
Answer:
7 + n
Step-by-step explanation:
Jessica made 619 cups of punch. Her
punch had two different types of juice in
it. If the punch had 4 cups of one type of
juice, how many cups of the other type of
juice did it have?
Answer:
The cups of other type of juice is 615
Step-by-step explanation:
Given as :
The total cups of punch made by Jessica = 619
The two different types of juice is x and y
Let The one type of juice = x = 4
And According to question
x + y = 619
So, 4 + y = 619
Or, y = 619 - 4
∴ y = 615
Hence The cups of other type of juice is 615 . Answer
Find the volume of the solid shown below
Answer:
960 cubic cm.
Step-by-step explanation:
We have to find the volume of a solid figure as detailed in the attached photo.
The topmost part of the solid is a pyramid with a square base.
The square base has a dimensions 6 cm by 6 cm and the height of the pyramid is 4 cm, then the volume is
[tex]\frac{1}{3} \times (\textrm {Area of base} \times {\textrm {Height}}) = \frac{1}{3} \times 4 \times 6^{2} = 48[/tex] cubic cm.
Now, the volume of the bottom cuboid of the pyramid is
= Height × Length × Width
= 12 × 6 × 6
= 432 cubic cm.
And finally, the volume of the other cuboid = 10 × 8 × 6 = 480 cubic cm.
Hence, the total volume of the solid is (48 + 432 + 480) = 960 cubic cm. (Answer)
(-2-5v) – (-4v - 2)
Answer
Answer:
- v
Step-by-step explanation:
Given
(- 2 - 5v) - (- 4v - 2) ← distribute parenthesis, noting second is multiplied by - 1
= - 2 - 5v + 4v + 2 ← collect like terms
= (- 5v + 4v) + (- 2 + 2)
= - v + 0
= - v
(- 2 - 5v) - (- 4v - 2) =
= - 2 - 5v + 4v + 2
= - 5v + 4v - 2 + 2
= - v + 0
= - v
The graph shows a proportional relationship between y (price) and x (number of pounds of rice).
A graph with a line running through coordinates (0,0) and coordinates (30,24)
What is the unit rate, expressed in price per pound?
a. $0.60
b. $0.80
c. $1.25
d. $1.67
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The unit rate, expressed in price per pound is $0.80.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
The slope of the line running through coordinates (0,0) and coordinates (30,24) is,
m= (24-0)/(30-0) = 0.8
Hence, the unit rate, expressed in price per pound is $0.80.
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Linear track begins at 0 has.a total. Distance of 100 meters to the finish line. starts at the 10-meter mark while practicing for a race After running 45 meters, how.far is.she from the beginning of the track?
Answer:
55 m she is far from the beginning of the track
Explanation:
The linear track begins at 0 m
Since She is at the 10 m mark while practicing for the race so the initial point becomes 10 m further from the 0 m point
After running she is at 45 m from the 10 m meter
Therefore, from the beginning of the track which is 10 m beyond from the initial point
Distance = (45m + 10m ) = 55 m
She is 55 m away from the beginning of the track.
Answer: I think that the answer is 55 meters.
One of the angles of an isosceles triangle is 46º.
Find ALL possible measures of the other angles. Also,
in the space below, draw an example of each scenario.
Answer:
The other 2 angles are 67 and 67 degrees OR 46 and 88 degrees.
Step-by-step explanation:
If the vertex angle is 46 degrees then , as the other 2 angles are congruent, they are (180 - 46) / 2 = 67 degrees.
The triangle has angles (46, 67 and 67).
If the 2 equal angles are both 46 then the other angles is 180 - 2(46) = 88 degrees.
The other triangle has angles (46, 46 and 88).
Billy Joe paid $4.00 to enter the carnival and $1.25 for each ride. The variable is the number rides write the equation that represents the total cost
'going to the carnival.
Answer:
4+1.25x(number of rides)=total cost
Answer:
Given: entrance is a flat fee of $4, and each ride costs $1.25
Treat the rides as x
$4 + x*$1.25 = the total cost of going to the carnival
a polyhedron has 6 vertices and 9 edges how many faces
Answer: 5 faces
Step-by-step explanation:
The Euler's polyhedron formula states that:
number vertices - number of edges + number of faces = 2
That is :
6 - 9 + F = 2
-3 + f = 2
f = 2 + 3
f = 5
Therefore , it has 5 faces
Write the following as an expression and evaluate . The sum of -6 and the quotient of -36 and 6
Answer:
(-36/6)+(-6)
Step-by-step explanation:
Answer:
[tex] \frac{ - 36}{6} + ( - 6)[/tex]
-12
Step-by-step explanation:
-36/6 = - 6
-6 + (-6) = -12
Blank DVDs are sold in packages of 50 for $17.95. If your
company will need 2,700 blank DVDs next year, how much money
must you budget for blank DVDs?
Answer:
$969.3
Step-by-step explanation:
The DVDs are sold in packages of 50
Divide the total number you need by 50, therefore 2700/50 = 54 packages are needed
The packages are sold at $17.95 for one, hence amount needed is 54 * 17.95 = $969.3
1/3 x -3/4
what is the answer PLEASE HURRY
this is the answer of question 4x-9/ 12
The annual rainfall in a certain region is approximately normally distributed with mean 41.8 inches and standard deviation 5.8 inches. Round answers to the nearest tenth of a percent.
a) What percentage of years will have an annual rainfall of less than 44 inches?
__%
b) What percentage of years will have an annual rainfall of more than 39 inches?
__%
c) What percentage of years will have an annual rainfall of between 37 inches and 42 inches?
__%
Using the normal distribution, it is found that:
a) 64.8% of years will have an annual rainfall of less than 44 inches.
b) 68.4% of years will have an annual rainfall of more than 39 inches.
c) 31.1% of years will have an annual rainfall of between 37 inches and 42 inches.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 41.8 inches, hence [tex]\mu = 41.8[/tex].The standard deviation is of 5.8 inches, hence [tex]\sigma = 5.8[/tex]Item a:
The proportion is the p-value of Z when X = 44, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{44 - 41.8}{5.8}[/tex]
[tex]Z = 0.38[/tex]
[tex]Z = 0.38[/tex] has a p-value of 0.648.
0.648 x 100% = 64.8%
64.8% of years will have an annual rainfall of less than 44 inches.
Item b:
The proportion is 1 subtracted by the p-value of Z when X = 39, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39 - 41.8}{5.8}[/tex]
[tex]Z = -0.48[/tex]
[tex]Z = -0.48[/tex] has a p-value of 0.316.
1 - 0.316 = 0.684
0.684 x 100% = 68.4%
68.4% of years will have an annual rainfall of more than 39 inches.
Item c:
The proportion is the p-value of Z when X = 42 subtracted by the p-value of Z when X = 37, hence:
X = 42:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{42 - 41.8}{5.8}[/tex]
[tex]Z = 0.035[/tex]
[tex]Z = 0.035[/tex] has a p-value of 0.514.
X = 37:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{37 - 41.8}{5.8}[/tex]
[tex]Z = -0.83[/tex]
[tex]Z = -0.83[/tex] has a p-value of 0.203.
0.514 - 0.203 = 0.311
0.311 x 100% = 31.1%
31.1% of years will have an annual rainfall of between 37 inches and 42 inches.
A similar problem is given at https://brainly.com/question/24663213
To calculate the percentage of years with an annual rainfall between 37 inches and 42 inches, we need to use the standard normal distribution. First, we can convert the rainfall values to z-scores, and then use a z-table or calculator to find the area under the curve between the corresponding z-scores.
Explanation:To calculate the percentage of years with an annual rainfall between 37 inches and 42 inches, we need to use the standard normal distribution. First, we can convert the rainfall values to z-scores using the formula:
z = (x-mu)/sigma.
So, for 37 inches, the z-score is (37-41.8)/5.8 = -0.8276, and for 42 inches, the z-score is (42-41.8)/5.8 = 0.0345.
Now, we can use a z-table or calculator to find the area under the curve between these two z-scores. The percentage of years with an annual rainfall between 37 inches and 42 inches is the difference between these two areas.
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TEST SCORES Matthew's math test scores this
semester were 80, 76, 94, 90, 88, 92, 88, and 70.
Which measure of central tendency might
Matthew want to use to describe his test
scores? Explain.
Answer:
Average mark of the semester
EXPLANATION
This is done by adding the total score divided by the number of scores of the semester in that way Matthews average test score would be gotten
Each snack at the concession
stand is priced at $4.00. All of the
snacks cost a total of $86.56.
How many snacks will need to be
sold in order to make a minimum
profit of $100.00?
To make a minimum profit of $100 with each snack priced at $4.00, a total of 47 snacks need to be sold at the concession stand. This includes 22 snacks to cover the total cost of $86.56 and an additional 25 snacks to achieve the profit goal.
Explanation:The question is about finding out how many snacks need to be sold at a concession stand to achieve a minimum profit. To get the answer, we first need to determine how many snacks would make up the total cost, and then calculate how many additional snacks would be necessary to attain the profit goal.
Given that each snack at the concession stand costs $4.00 and that the total cost of the snacks is $86.56, we can find out how many snacks were initially purchased by dividing the total cost by the price of each snack: $86.56 ÷ $4.00 = 21.64 snacks. Since we can't sell a fraction of snack, we round up to 22 snacks to cover the total cost.
To calculate the number of additional snacks needed to attain a $100 profit, we divide the profit goal by the price of each snack: $100 ÷ $4 = 25 snacks.
Therefore, to cover the total cost and also make a minimum profit of $100, the concession stand needs to sell 22 snacks for the cost and additional 25 snacks for the profit, totaling 47 snacks altogether.
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A farmer planted 4 1/2 acres of land with 6 types of wheat. If she planted an equal amount of each type of wheat, how many acres of each type did she plant? Write your answer as a fraction or as a whole or mixed number.
(I just want to know how to set it up!)
She planted [tex]\frac{3}{4}[/tex] arcs of each type
Step-by-step explanation:
The given is:
A farmer planted [tex]4\frac{1}{2}[/tex] acres of land with 6 types of wheatShe planted an equal amount of each type of wheatWe need to find how many acres of each type she planted
∵ The farmer planted [tex]4\frac{1}{2}[/tex] arcs of land
∵ She planted 6 types of wheat
∵ She planted an equal amount of each type of wheat
- Divide the total number of arcs by 6 to find the number of arcs
for each type
To divide the total number of arcs change it from the mixed number
[tex]4\frac{1}{2}[/tex] to improper fraction
∵ [tex]4\frac{1}{2}=\frac{(4*2)+1}{2}=\frac{9}{2}[/tex]
∴ The total number of arcs = [tex]\frac{9}{2}[/tex]
∴ The number of arcs of each type = [tex]\frac{9}{2}[/tex] ÷ 6
- Change the division sign to multiplication sign and reciprocal
the number after the division sign
∴ The number of arcs of each type = [tex]\frac{9}{2}[/tex] × [tex]\frac{1}{6}[/tex]
∴ The number of arcs of each type = [tex]\frac{9*1}{2*6}[/tex]
∴ The number of arcs of each type = [tex]\frac{9}{12}[/tex]
- Reduce the fraction by dividing up and down by 3
∴ The number of arcs of each type = [tex]\frac{3}{4}[/tex]
She planted [tex]\frac{3}{4}[/tex] arcs of each type
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Chloe is a high school basketball player. In a particular game, she made some three point shots and some two point shots. Chloe made a total of 9 shots altogether and scored a total of 22 points. Determine the number of three point shots Chloe made and the number of two point shots she made.
Chloe made 4 three-point shots and 5 two-point shots.
Explanation:Let's solve this problem using a system of equations.
Let x be the number of three-point shots Chloe made and y be the number of two-point shots she made.
We have the following equations:
x + y = 9 (equation 1)
3x + 2y = 22 (equation 2)
From equation 1, we can solve it for x:
x = 9 - y
Substitute this value of x into equation 2:
3(9 - y) + 2y = 22
27 - 3y + 2y = 22
-y = -5
y = 5
Substitute this value of y back into equation 1:
x + 5 = 9
x = 4
Therefore, Chloe made 4 three-point shots and 5 two-point shots.
Vote for the best representation of 7/15
0.46
0.46 repeating 46
0.46 repeating 6
0.467
Answer:
0.46 repeating 6
Step-by-step explanation:
plug it into a calculator
62 out of 74 students turned in their hw. What percent of students turned in their hw and what percent did not turn in hw
83.78% students turned in their homework and 16.22 percent students did not turn in their homework
Step-by-step explanation:
Percentage formula will be used for this problem
Given
Total students = 74
Students who turned their homework = 62
So the percentage of students who turned in their homework will be:
[tex]Percentage\ of\ students\ who\ turned\ in\ their\ hw = \frac{62}{74} *100\\=0.8378*100\\=83.78\%[/tex]
So the students who did not turn in their homework = 100-83.78
=16.22%
Hence,
83.78% students turned in their homework and 16.22 percent students did not turn in their homework
Keywords: Percent, percentage
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in a group of 26 children, 50% have blue eyes. how many children have blue eyes?
Answer:
13
Step-by-step explanation:
26 * 50/100 = 26 * 1/2 = 13
Answer:
13
Step-by-step explanation:
50% = 50/100 = 1/2
That means that 1/2 of the children have blue eyes.
26*(1/2) or 26/2 = 13
I’m the expression 10a + 4, identify the coefficient
Answer:
2(5a+2)
Step-by-step explanation:
10a+4=2(5a+2)
Students at Springfield Middle school are planning to rooftop a garden.They plan to plant flowers in 18 beds,which is 30% of the total number of garden beds. What is the total number of garden beds in the students plans?
Answer:
60
Step-by-step explanation:
Since 30%/3 is 10%, 6 is 10% of the total number of garden beds, since 18/3 is 6.
And 10% times 10 is 100%, or all of it, so 60 is the total amount of garden beds, since 6 times 10 is 60.
60 garden beds in the students plans.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Present flower bed= 18
This is 30% of the total number of garden beds.
let the total flower bed be x.
So, 30% of x= 18
30/100 x = 18
x= 1800/ 30
x= 60
Hence, 60 garden beds in the students plans.
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Please Help Quicly The equation 8x - 4y = 5 is dilated by a scale factor of 8 centered at the origin. What is the new slope and y-intercept after dilation?
For new line, slope m=2 and y-intercept c=(-10)
Step-by-step explanation:
Note : Figure given is for reference to understand better.
Where redline is for given line and blueline for new line
The equation of given line 8x-4y=5 and it is dilated by a scale factor of 8 centered at the origin.
Step 1 : Find two points on given line.
When x=0, y=?
[tex]8x-4y=5[/tex]
[tex]8(0)-4y=5[/tex]
[tex]y=\frac{-5}{4}[/tex]
When y=0, x=?
[tex]8x-4y=5[/tex]
[tex]8x-4(0)=5[/tex]
[tex]x=\frac{5}{8}[/tex]
We get points [tex]A(0,\frac{-5}{4}), B(\frac{5}{8},0)[/tex]
Step 2: Find distance from centered and scale it.
Now, It is said that line 8x-4y=5 dilated by a scale factor of 8 centered at the origin and point A and point B is on same.
So that point A and point B will also get dilated by a scale factor of 8 centered at the origin or distance of points from origin will be scaled by 8.
For point A:
Distance of point [tex]A(0,\frac{-5}{4})[/tex] from origin is [tex]( \frac{-5}{4})[/tex] unit in x-direction and zero [tex]\frac{-5}{4})[/tex] unit in y-direction.
After scaled by factor of 8, the distance will multipy by 8 and new location is [tex]A'(0,-10)[/tex]
For point B:
Distance of point [tex]B(\frac{5}{8},0)[/tex] from origin is [tex](\frac{5}{8})[/tex] unit in x-direction and zero unit in y-direction.
After scaled by factor of 8, the distance will multipy by 8 and new location is [tex]B'(5,0)[/tex]
Step 3: Find Equation of new line.
Points [tex]A'(0,-10)[/tex] and [tex]B'(5,0)[/tex] make a new line
The equation of given as
[tex]\frac{y-Y1}{x-X1} = \frac{Y2-Y1}{X2-X1}[/tex]
[tex]\frac{y-(-10)}{x-0} = \frac{0-(-10)}{5-0}[/tex]
[tex]\frac{y+(10)}{x} = 2[/tex]
[tex]\frac{y+(10)}{x} = 2[/tex]
[tex]y+10= 2x[/tex]
[tex]y= 2x-10[/tex]
Now, Comparing with the equation of the line : y=mx + c
Where m=slope and c is the y-intercept
We get, Slope m=2 and y-intercept c=(-10)
A firm producing 7 units of output has an average total cost of Rs. 150 and has to pay Rs.350 to its fixed factors of production whether it produces or not. How much of the average total cost is made up of variable costs?
Rs 100 of the average total cost is made up of variable costs.
Step-by-step explanation:
Given:
Number of output the firm produces= 7 units
Average cost of the output= Rs. 150
fixed factors of production = Rs.350
To Find:
How much of the average total cost is made up of variable costs=?
Solution:
we know that,
Average total cost= total cost/ number of output units produced
substituting the values, we get
[tex]150=\frac{\text{Total cost}}{7}[/tex]
Total cost= 1050
we know that Total fixed cost = 350
Total cost = Total fixed cost + Total variable cost
plug in the known values.
1050= 350 + Total variable cost
Total variable cost = 1050-350
Total variable cost =700
For 7th unit [tex]\frac{700}{7}[/tex] = 100
4. Explain how you know from the slope whether it is increasing or decreasing.
Graph the inequality.
4x - 4y > 28
Step-by-step explanation:
[tex]4 < x - 7[/tex]
It's a straight line so plug in two numbers and connect the points.
And the result is everything under the line. Expect the line because its only < instead of <=
To check your answer use Mathaway or something Desmos
x(956÷14×66) simplify the expression.
Answer:
[tex]\frac{31548}{7} x[/tex]
Step-by-step explanation:
Answer:
31548/7 x
Step-by-step explanation: