The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60
Let $x be the cost of 1 pound of salmon.
The swordfish costs $0.20 per pound less than the salmon, then $(x-0.20) is the cost of 1 pound of swordfish.
Melissa buys 2.5 pounds of salmon and pays $2.5x for salmon.
Melissa buys 1.25 pounds of swordfish and pays $1.25(x-0.20) for swordfish.
She pays a total of $31.25, then we get an equation,
2.5x + 1.25(x - 0.20) = 31.25
We solve above equation for x.
2.5x + 1.25x - 0.25 = 31.25
3.75x = 31.50
x = 8.4
So, the cost of 1 pound of salmon is $8.40 and 1 pound of swordfish is $8.20
and combined cost = $8.40 + $8.20
Therefore, the combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60
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Write an equation for the line parallel to the given line that contains C.
C(4,6); y=x+7
The equation of the parallel line is….
The equation of the parallel line is y = x + 2.
What is Equation of line?
The equation of line with slope m and y intercept at point b is given as;
y = mx + b
Given that;
The point = C(4, 6)
And, equation of line is y = x + 7
Since, Slope of Parallel lines are always same.
So, The slope of the given line is calculated as;
y = x + 7
m = dy/dx = 1
Thus, Slope of parallel lines is 1.
Since, The equation of line is passes through point C (4, 6).
So, The equation of line with slope(m) 1 and point C(4, 6) is;
y - 6 = 1 (x - 4)
y - 6 = x - 4
y = x - 4 + 6
y = x + 2
Thus, The equation of the parallel line is y = x + 2.
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Starting from the origin, what movements do you need to plot the ordered pair (2, -3)?
Here, x coordinate is 2 and y coordinate is -3, so we have to first move two units on right thereafter we will move three units downward.(for better understanding please see the attached graph).
A coordinate plane is formed by the intersection of a horizontal number line and a vertical number line. The number lines intersect at the origin and separate the coordinate plane into four regions called quadrants.
An ordered pair is used to locate a point in a coordinate plane.
ordered pair(P) = (2,-3).
Hence, x coordinate is 2 and y coordinate is -3. we have to first move two units on right thereafter we will move three units downward.
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PLEASE HELP ME I NEED HELP
The ordered pairs are (0,-7).
How Can an Ordered Pair Be Found?Any equation's ordered pair can be calculated by substituting any integer or the rational number for one of the variables, then solving for the remaining variable.
Consequently, we obtain values for both variables that meet the stated equation.
Solution:
5x - y = 7
Lets take, x = 0
Then,
5(0) - y = 7
y = -7
Then,
The ordered pair is (0,-7).
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There are 4 consecutive integers with a sum of –278. What is the greatest of the 4 integers?
The greatest of the 4 consecutive integers with a sum of -278 is -68
Let n, n + 1, n + 2 and n + 3 be four consecutive integers.
The sum of four consecutive integers is -278.
⇒ n + (n + 1) + (n + 2) + (n + 3) = -278
⇒ n + n + n + n + 1 + 2 + 3 = -278
⇒ 4n + 6 = -278
⇒ 4n = -278 - 6
⇒ 4n = -284
⇒ n = -284/4
⇒ n = -71
So, the consecutive integers would would be:
n = -71
n + 1 = -70
n + 2 = -69
n + 3 = -68
here, the greatest of the 4 integers is -68
Therefore, the greatest of the 4 consecutive integers with a sum of -278 is -68
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PLEASE HELP ME I DON'T UNDERSTAND
Answer:
(0, 3)
Step-by-step explanation:
-x+2y=6
-x=6+2y
x=-6+2y
-6+2y+2y=6
-6+4y=6
4y=12
y=3
-x+2(3) = 6
-x+6=6
-x=0
x=0
Answer: 0, 3
which measurements are equivalent to 3 yards
The equivalent measures to 3 yards are;
108 inches and ; 6 ft 36 inches
Here, we want to get the values of the measurements that are equivalent to 3 yards
To do this, we need to know how to convert between the various measure types
We proceed as follows;
Mathematically, 1 yard is 36 inches; also, 1 yard is 3 feet
So, 3 yards is (3*36) = 108 inches
Also, 3 yards is (3*3) = 9 feet
Also, 1 ft is 12 inches;
So, 6 ft 12 inches is 7 feet
108 inches is as seen above, so 3 yards equal this
3 yards is not 108 feet as calculated above
6 ft 36 inches
36 inches is 3 ft; so by addition; 6 ft 36 inches is 9 ft
So, the correct answers here are 108 inches and 6 ft 36 inches
1.
Find the perimeter of the figure below.
7 cm
2 cm
4 cm
2 cm
4 cm
4 cm
Answer:
42 cm
Step-by-step explanation:
7+4+2+4+2+4+7+12
PLEASE HELP ASAP! What is the rate of change (slope) and the initial value (y-axis) for this table? PLEASE ANSWER BOTH Y AXIS AND SLOPE! And please give an explanation if possible
Answer:
24 and 11
Step-by-step explanation:
See attached worksheet.
A rancher is filling a trough for her horses. The trough already contains 25 gallons of water, and the rancher is adding 11 gallons per minute. How long will it take for the trough to have 80 gallons of water?
The time for the trough to have 80 gallons of water is 5 minutes.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the number of minutes be represented as m.
The trough already contains 25 gallons of water, and the rancher is adding 11 gallons per minute. This will be:
25 + 11m =80
Collect like terms
11m = 80 - 25
11m = 55
Divide
m = 55 / 11
m = 5
Therefore, there will be 5 minutes.
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I need the blank angles answers with the reason of justification please
Answer:
We had this question last week let me check my book real quick.
What is the y-intercept?
Danielle earns $36.80 for 4 hours of yardwork. How much does Danielle earn for 10 hours of yardwork
What is the least common denominator of 1/2x+1=1/4x-6
Answer:
The least common denominator for 1/2 and 1/4 is 4.
1/2 --> 2/4
Step-by-step explanation:
Hope this helps!
Pls brainliest, tysm!
Mary Beth collected 8 pounds of aluminum cans to recycle to start. She plans on collecting 3 more pounds each week.
How many total pounds of aluminum cans will she have collected after 3 weeks?
Answer:
She will have a total of 17 pounds.
Step-by-step explanation:
You could simply put the question is slop intercept form to figure it out from there.
y = m(x) + b
y = 3(x) + 8
y = 3(3) + 8
y = 9 + 8
y = 17
Pls mark Brainliest with the crown
PLEASE HELP ME!!! *correct answer will get brainlist*
At a store, shirts are regularly priced $9.95 each. The store is having a sale in which if a customer buys two shirts, he or she will get the third shirt at half-price. Sales tax is 7%. About how much will a customer spend on three shirts? *
.
.
A. $16
B. $25
C. $27
D. $32
Answer:
C. $27
Step-by-step explanation:
9.95÷2=4.975
9.95+9.95+4.975=24.875 or 24.88
24.88×7%+24.88=26.62
Shawn borrows $600 to be paid back in one year with 8% simple interest. How much interest will Shawn pay?
Answer:
48
Step-by-step explanation:
0.08 × 600 =48
for the percent you move the decimal forward twice.
Keenan travels 14 miles per hour. How long does it take him to travel 70 miles? Your answer should be in hours, accurate to at least the
nearest tenth.
Answer: 5 Hours
Step-by-step explanation:
14 miles x 5 hours = 70miles in 5 hours.
Hope this helps!
Which 3 measurements could be the dimensions of a right triangle?
(a² + b² = c²)
Answer:
5, 12, 13
Step-by-step explanation:
let a = 5 , b = 12 , c = 13 , then
5² + 12² = 25 + 144 = 169
13² = 169
so a² + b² = c²
Answer:
3, 4, 5
Step-by-step explanation:
In a right triangle, we have 2 legs and a hypotenuse. The hypotenuse equals c, while the other 2 legs are a and b.
Lets say a = 3, b = 4, and c = 5
The formula is a² + b² = c²
3² + 4² = 5²
9 + 16 = 25
25 = 25
Therefore, 3, 4, and 5 can be dimensions of a right triangle.
Question 14 (5 points) Find the distance between (6, -2) and (1, -2). 7 units 5 units 6 units 4 units
Answer:
5 units
Step-by-step explanation:
-(1.67+ 1.67 +26.6) x 10-24
-29.94 x 10-24
-2.994 x 10-23
The mass of a water molecule is about 2.994 x 10-23 g.
Look at the Example. A hydrogen peroxide molecule has two oxygen atoms and
two hydrogen atoms. What is the mass of one molecule of hydrogen peroxide?
Write your answer using scientific notation.
2 a. Use the information from the Example. Complete the steps to find how
many grams as great the mass of one oxygen atom is than the mass of one
hydrogen atom.
(2.66 x 10-23) - (1.67 x 10-24) =(
The mass of an oxygen atom is
=
x 10-24) (1.67 x 10-24)
-) X 10-24
X 10-24
X 10-23
Answer:
is it not 10 minus 23 I think that would be the answer
Answer:
Step-by-step explanation:
1.9×10−221.99×10−231.99×10−231.9×10−221.91.99×10−2210−231.991.9×10−2310−22Divide numbers and 10's separately0.954774...×1010.954774...×101Subtract exponents9.54774...9.54774...Convert to standard notation9.59.5
wander 9.5
PLEASE HELP THIS MAKES NO SENSE AND WOULD BE VERY MUCH HELPFUL IF YOU CAN JUST ANSWER THEM GRADES ARE DUE TOMORROW, please help.
Distance between M(6,-7) and a line that contains the points C(-6,-2) and H(-1,10) is 7.846
First we will find the equation of the line containing the points C(-6,-2) and H(-1,10).
Take (x₁, y₁) = (-6,-2) and (x₂, y₂) = (-1,10).
Then the slope of the line, m = y₂-y₁/x₂-x₁
= 10- -2/-1- -6
= -12/7
So the equation of the line is
y-y₁ = m(x-x₁)
⇒ y- -2 = -12/7(x- -6)
⇒ y+2 = -12/7(x+6)
⇒7(y+2) = -12(x+6)
⇒ 7y +14 = -12x -72
⇒ 12x+7y +14+72 = 0
⇒ 12x+7y+86 = 0
This is in the form ax+ by+ c = 0
Also given the point (x, y) = (6, -7).
Distance between a point (x, y) and a line ax+ by+ c = 0 is,
[tex]\frac{|ax+by+c|}{\sqrt{a^2+b^2} }[/tex].
So Distance between M(6,-7) and the line 12x+7y+86 = 0 is
[tex]\frac{|12.6+7.-7+86|}{\sqrt{12^2+7^2} }[/tex] = |72-49+86|/√(144+49)
= 109/√193
= 7.846
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Anya plays one round of her favorite online game every day. One week, she played 7 rounds and scored between 120 and 300 points each round. She calculated the mean and median of those scores.
Then, Anya found out that the day she scored 300 points was a special "double points" day, so she actually earned 600 points, not 300.
How will this amount increasing affect the mean and median?
Answer:
D: The mean will increase, and the median will stay the same.
Step-by-step explanation:
Strategy
The mean and median are two ways to describe the center of a data set.
When a data set is almost symmetrical, the mean and median are close together.
When a data set is not symmetrical, the mean is usually closer to the outliers or tail than the median.
Let's reason conceptually about the measures of the center since we do not know the exact values.
Reasoning about the median
There are 7 scores. When the scores are in order from least to greatest, the median is the 4th score.
The day when Anya scored 300 points was the largest score both before and after that score was increased. So that is the 7th score when we order them from least to greatest.
Changing the 7th score does not change the 4th score, so the median stays the same.
Reasoning about the mean
Let's remember how to calculate the mean:
mean = total points/number of rounds
The largest score increasing from 300 to 600 points increases the total number of points. However, it does not change the number of rounds. So the mean increases.
Conclusion
D: The mean will increase, and the median will stay the same.
4y+3z=19
-x+z=27
x-3y=-19
Solve the system of equations
Answer:
x = -262/13, y = -5/13, z = 89/13
Step-by-step explanation:
Solve the following system:
{3 z + 4 y = 19 | (equation 1)
z - x = 27 | (equation 2)
-3 y + x = -19 | (equation 3)
Swap equation 1 with equation 2:
{-x + 0 y + z = 27 | (equation 1)
0 x + 4 y + 3 z = 19 | (equation 2)
x - 3 y + 0 z = -19 | (equation 3)
Add equation 1 to equation 3:
{-x + 0 y + z = 27 | (equation 1)
0 x + 4 y + 3 z = 19 | (equation 2)
0 x - 3 y + z = 8 | (equation 3)
Add 3/4 × (equation 2) to equation 3:
{-x + 0 y + z = 27 | (equation 1)
0 x + 4 y + 3 z = 19 | (equation 2)
0 x + 0 y + (13 z)/4 = 89/4 | (equation 3)
Multiply equation 3 by 4:
{-x + 0 y + z = 27 | (equation 1)
0 x + 4 y + 3 z = 19 | (equation 2)
0 x + 0 y + 13 z = 89 | (equation 3)
Divide equation 3 by 13:
{-x + 0 y + z = 27 | (equation 1)
0 x + 4 y + 3 z = 19 | (equation 2)
0 x + 0 y + z = 89/13 | (equation 3)
Subtract 3 × (equation 3) from equation 2:
{-x + 0 y + z = 27 | (equation 1)
0 x + 4 y + 0 z = -20/13 | (equation 2)
0 x + 0 y + z = 89/13 | (equation 3)
Divide equation 2 by 4:
{-x + 0 y + z = 27 | (equation 1)
0 x + y + 0 z = -5/13 | (equation 2)
0 x + 0 y + z = 89/13 | (equation 3)
Subtract equation 3 from equation 1:
{-x + 0 y + 0 z = 262/13 | (equation 1)
0 x + y + 0 z = -5/13 | (equation 2)
0 x + 0 y + z = 89/13 | (equation 3)
Multiply equation 1 by -1:
{x + 0 y + 0 z = -262/13 | (equation 1)
0 x + y + 0 z = -5/13 | (equation 2)
0 x + 0 y + z = 89/13 | (equation 3)
Collect results:
Answer: {x = -262/13, y = -5/13, z = 89/13
Just the bottom part that’s all :)
To transform is to alter. So, changing any given geometric shape would be considered a geometric transformation.
What does one transformation mean?
A 180° rotation about the origin characterizes the sole transformation. Translation, rotation, reflection, and dilation are the four primary categories of transformation.
The term "Geometric" transformation refers to a group of picture transformations where the geometry of the image is modified without changing the actual pixel values. In general, various actions can be performed on it, but the actual pixel values will not change.
Students get the opportunity to consider fundamental mathematical concepts in novel ways thanks to geometric transformations (e.g., functions whose domain and range are R2). Students can view mathematics as a connected field by using geometric transformations as a framework.
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wo horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain or show your reasoning.
Answer:
Step-by-step explanation:
Multiply 32 by 5 = 160
Multiply 28 by 5 =140
subtract 140 from 160
Answer Horse A would have traveled 20 feet farther the Horse B
Write the plural form of the noun. 1. menu 2. speech 3. theory 4. era Math Write the given number in word form. 9. standard form: 290.1 word form: 10. standard form: 7,035.486 word form: 5. lady 6. mailbox 7. patio 8. apostrophe
Menus, speeches, theories, eras, ladies, mailboxes, patios, apostrophes are the plural forms of all the specified nouns as provided in the question.
What is Word form?The written format or the word format of any number provided is called as its word form.
In this question, we are asked to find out the word form of 290.1 and 7,035.486.
290.1 in word form can be written as Two Hundred and ninety point one.
7,035.486 in word form can be written as Seven thousand and thirty-five point four eight six.
What is Plural form?Any word or noun that has to be described such that it is present more than one in number is represented by its plural form. Almost all of the noun words have their plural forms.
The plural forms of the asked nouns have been specified as above already.
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The temperature of a day at the end of winter starts in the morning at -2 degrees Fahrenheit. The weather report notes that the temperature increases 10 degrees
by midday. At 5:00 pm, the temperature has doubled since midday. What was the temperature at 5:00 pm?
A 24 degrees
B16 degrees
C-16 degrees
D10 degrees
Answer:
B. 16 degrees
Step-by-step explanation:
First, we find temperature at miday:
- 2 (Temperature at morning) + 10 (Increase in temperature by midday) = 8 degrees (Temperature at midday)
Now, for temperature at 5:00 pm:
8 x 2 (At 5 pm temperature is double since midday) = 16 degrees (Temperature at 5:00 pm)
Answer:
B 16 degrees
Step-by-step explanation:
Find the temperature
We start at -2
We increase 10 degrees by noon
-2 + 10 = 8
at 5pm the temperature doubles
8*2 = 16
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Pleaseeeee
The left side of the two-column proof should be filled as follows:
Statements Reasons_______________
k||i Given
m∠4 = m∠5 Alternate Interior Angles Theorem
What are parallel lines?Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the Alternate Interior Angles Theorem?The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent. Also, these angles are generally referred to as alternate interior angles.
Additionally, there are four (4) special angle relationships that are typically formed when two parallel lines are intersected by a transversal and these include the following:
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jenny believes that spending one hour studying for economics will increase her grade by 20 points. studying for a second hour will increase her grade by 10 points. she also believes that studying for an hour for history will increase her grade by 15 points, but spending a second hour will increase her grade by only 5 points. jenny has two hours to study. if jenny wants to maximize her scores, what should she do?
If Jenny studies one hour both for economics and history she can gain 10+15=25 points
What is meant by Increasing?Increasing: Growing larger or greater. Therefore, if the derivative of a function is positive, then the function is increasing. Let's consider our example of g(x) = x2. The derivative of g(x) = x2 is g'(x) = 2x. Since we are multiplying x by the positive number 2, it's easy to see that g ' is positive when x is positive and negative when x is negative.
Jenny will receive 15 points if she simply studies economics, which equates to 10 points in the first hour and 5 points in the second.
Jenny will earn 20 points if she exclusively studies history, which equates to 15 points in the first class and 5 points in the second.
Jenny should study economics for one hour, which will get her 10 points, and history for one hour, which will gain her 15 points, for a total of 25 points in the two hours
So we concluded that if Jenny studies one hour both for economics and history she can gain 10+15=25 points
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