There are 200 fishes estimated.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total. According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
captures 20 fish out of a small lake behind his college.
Now,
He again catches 20 fishes out of which 2 have markers
let the estimated fish are x.
So,
2/ 20 = 20 /x
20 x 20 = 2x
400 = 2x
x= 400/ 2
x= 200
Hence, there are 200 fishes estimated.
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A ticket for the train costs $6.23. If Barbara has $32, does she have enough money to buy 5 tickets? Explain your reasoning.
Find the area of the figure. (Sides meet at right angles.)
3 m
8 m
5 m
5 m
10 m
3 x 5 x 5 x 8 x 10 = 6,000
3 x 5 = 15, 15 x 5 = 75.
8 x 10 = 80.
75 x 80 = 6,000
Does(3, 1)make the inequality 3x + 10y ≥ 20 true?
Answer:
See below
Step-by-step explanation:
Plug in x = 3 And y = 1 to see
3(3) + 10(1) >= 20 ?
9 + 10 >= 20?
19 >= 20 Not true ....the point does not make the inequality true
5. Which number is the smallest?
2.2458103 x 10^-6
2x10^-5
3.215 × 10^-7
3x10⁰
HELP
Answer: 3.215 × 10^-7
Step-by-step explanation:
The exponent is smaller than all of the others, so it's the smallest.
9. Solve
x(c- b) = g solve for x
Step-by-step explanation:
x(c - b) = g
divide through by (c - b)
x(c - b) = g
(c - b) (c - b)
x = g/ (c - b)
This morning, the owner of Sam's Spaghetti House withdrew $180 from the restaurant's bank account to pay for an oven repair. This afternoon, he deposited $430 from lunch sales.
What is the total change in the restaurant's bank account relative to where it started
Answer:
The restaurant is at a profit of $250
josie took a total of 24 quizzes over the course of 6 weeks. after attending 10 weeks of school this quarter, how many quizzes will josie have taken in total? solve using unit rates.
In linear equation, 42 units quizzes will josie have taken in total.
What is a formula for linear equations?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y.When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b).Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.josie took a total = 24 quizzes
the course = 6 weeks
quizzes will josie have taken = 24/6 = 4
after attending 10 weeks of school this quarter = 10 * 4 = 40 units
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A hot utensil kept away from the flame and cools down. Name and define the process of heat transfer invloved in given example
Help on these please
Answer:
a)16777216
b)279936
c)32768
d)49
Plss mark as brainliest
Answer:
ok!
a) 4^9 ×4^3=4^9+3=4^12
b) 6^5 ×6^2=6^5+2=6^7
c) 8^6 ÷8=8^6-1 =8^5
d) 7^8÷7^6=7^8-6=7^2
Pls mark me as brainliest.
I answered first.
Step-by-step explanation:
It's simple!
If there is multiplication, add the powers.
If there is division, subtract the powers.
Enter the inverse function of f(x) = 15x - 14.
replace 'x' with 'y'
15y - 14 = x; solve for y
15y = x + 14
y = (x+14)/15
Help me with this please thanks
Answer: the function only intersects the y axis
Step-by-step explanation:
Answer:
The function only intersects the y axis.
Step-by-step explanation:
See the attached worksheet.
What is a good job for people with dyslexia, but also love mathamatics?
86,794 magazines/day = magazines/week
Miranda has the following income and expenses:
$550 bi-weekly paychecks
$60 cell phone
$85 car insurance
●
$195 car payment
• $55 HULU
• $575 rent
How much are Miranda's total monthly expenses?
The amount of Miranda's total monthly expense is $970.
What is the meaning of an expenses?Basically, an expense refers to any cost of operations that a company incurs to generate revenue. It also means the cost that one is required to spend on obtaining something.
In a typical firm, the common expenses include a payment to suppliers, employee wages, factory leases, equipment depreciation etc.
in the question context, the expenses are:
$60 cell phone$85 car insurance$195 car payment$55 HULU$575 rentTotal monthly expenses = $60 + $85 + $195 + $55 + $575
Total monthly expenses = $970.
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A stack of 30 science flashcards includes a review card for each of the following 10 insects, eight trees eight flowers, 4 birds. What is the probability of randomly selecting a TREE or a FLOWER?
From the statement, we know that stack of 30 science flashcards has:
• 10 with insects,
,• 8 with trees,
,• 8 with flowers,
,• 4 with birds.
The probability of selecting a tree or a flower is given by:
[tex]P(\text{tree or flower})=\frac{\text{\# of trees + \# of flowers}}{\text{total \# of cards}}=\frac{8+8}{30}=\frac{16}{30}=\frac{4}{15}.[/tex]Answer4/15
name one ray?
i’m not sure which is a ray .. lol
Answer: Ray BA and Ray BC
Explanation:
A ray starts at at a fixed point and moves forever in one direction. If we break line AC into two parts BA and BC, then we can form two opposite rays. Another ray points to the right but the letter marked for this isn't clear, so I'm not sure what to write for that ray. Same goes for the dashed ray that points to the left.
BD is a segment because both endpoints are fixed. We don't have either side extending forever in that direction.
i need help fast pls be correct
1) The rule of transformation is described as; A: A rotation 90° clockwise about the origin
2) The value of x is; 2
3) The value of x is 10
4) The slope of the line is; 2
How to Interpret rule of transformation?
1) The rule of transformation for When the point M (h, k) is rotated through 90° clockwise about the origin, the point M (h, k) takes the image M' (k, -h). Thus, that is the rule here.
2) From the given image, we can tell that the angles 50° and 26x - 2 are corresponding angles. Thus, they are congruent and we have;
26x - 2 = 50
26x = 52
x = 2
3) From the given image, we can see that the given angles are supplementary and as such they add up to 180 degrees. Thus;
9x + 15 + 6x + 15 = 180
15x + 30 = 180
15x = 150
x = 10
4) Slope is;
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(1 - (-1))
m = 4/2
m = 2
5) Same question as the first one.
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Factorise fully 3x² -75
Answer : 3(x - 5)(x + 5)
example 3(x 2 - 25)
3x2 - 75
sorry about what happened but I hope this helps have a great day
1) Draw a graph that:
a. Has a x-intercept of (1,0)
b. Has a y - intercept of (0,3)
c. Is continuous
d. Is a 1:1 function
e. Is linear
Answer:
the answer is c
Step-by-step explanation:
Three-fourths of students in your classroom like chocolate chip cookie dough ice cream. One-half of these same students also like mint-flavored ice cream. What fraction of students in your classroom like both flavors?
ANSWER FOR 100 POINTS
The fraction of the students in the classroom that like both flavors is 1/4.
How to calculate the fraction?From the information, three-fourths of students in the classroom like chocolate chip cookie dough ice cream and one-half of these same students also like mint-flavored ice cream.
The fraction of the students in the classroom that like both flavors will be the addition of both flavors subtracted from 1. This will be illustrated as:
= (3/4 + 1/2) - 1
= 3/4 + 2/4 - 1
= 5/4 - 1
= 1/4
The fraction is 1/4.
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Shen invested in a savings bond for 6 years and was paid simple interest at an annual rate of 3% . the total interest that he earned was $1620 . how much did he invest?
The principal amount invested by Shen in the saving bond is $9,000.
What is explained as the simple interest?Simple interest is a simple and fast method to calculate the interest on a loan. Simple interest is calculated by multiplying this same daily interest rate even by principal multiplied by the amount of days between payments.As per the given question;
The formula for simple interest is-
SI = PRT/100
Principal be 'P'Simple Interest SI = $1620.Time t = 6 yearsRate of interest R = 3%.Put the values;
SI = PRT/100, write the formula in the terms of P
P = 100×SI/RT
P = 100×1620 / (3×6)
On simplification;
P = 9,000
Thus, the amount invested by Shen in the saving bond is $9,000.
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Help plhyhrfdhfgtsgf
Answer:
60000
Step-by-step explanation:
Answer:
60000
Step-by-step explanation:
6 × [tex]10^{4}[/tex] =
6 × 10000 =
60000
URGENT!!!!!
math assignment(not to be confused with assessment) that I need help with
The statements that are true in the lines of construction of the straightedge and compass construction which makes use of congruent circles, are;
Line EF is the perpendicular bisector of segment BD
Line EF is the bisector of angle BAC
How are a compass and straightedge used to construct geometric figures?Geometric figures are constructed using a compass and a straightedge, by using outlined steps or procedures.
From the diagram, given that the circumference of the circle with center B passes through the center of the circle with center D, and vice versa, we have;
Circle B is congruent to circle D
Construction of Perpendicular Bisector to Line BDThe steps to construct a perpendicular bisector to the segment BD includes;
Placing the compass at point B and draw an arc above and below segment BC then place the compass at point D then draw arcs above and below the segment BD to intersect the previous arcs drawn from point B. at points E and FJoin the point of intersection of the two arcs which are the points E and F to complete the the construction of the perpendicular bisector of segment BDTherefore;
Line EF is the perpendicular bisector of segment BDThe steps to construct the angle bisector of angle BAC
The angle bisector can be constructed by using the following steps
Place the compass at point A which is the vertex of the angle, and draw arcs to intersect the arms of the angle at B and D Place the compass at points B and D and draw arcs above BD to intersect at point F which is on the of BD away from point AJoin FAV to complete the construction of the bisector of angle BACWhich gives;
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Using the figure below, Maggie used the definition of vertical angles to help her solve for x. Since vertical angles are congruent, she set the two given expressions equal to each other. After solving for x, her teacher said she got the wrong value for x. Explain where Maggie made her mistake when solving for x.
Maggie's mistake on the solution of the expression for x was when she subtracted 7x to both sides, the result should have been -3x and not 3x.
What is the solution for the equation?The equation is given as follows, as the angles are congruent, that is, they have the same measure:
4x + 2 = 7x - 25.
First, we isolate x on the left side of the equality, subtracting 7x from both sides, hence:
4x + 2 - 7x = 7x - 25 - 7x
Then the correct expression is:
-3x + 2 = -25
Which is where Maggie's mistake happened, on the subtraction of 4x and 7x.
Then, isolating x, we subtract 2 from both sides of the equality, to remove the +2 term on the left side of the equality.
-3x = -27
3x = 27
x = 27/3
x = 9.
The correct solution is x = 9.
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How would you solve this problem?
The mass of Earth is 5.97 X 10^24 kilograms while the mass of Jupiter is 1.9 x 10^27 kilograms. Approximately how many times greater is the mass of Jupiter compared to Earth? Give your answer in scientific notation.
Provided the figures we have that describe the mass of Earth and the mass of Jupiter, we can conclude that Jupiter is 318 times greater than the mass of Earth.
How do we arrive at the planet with the greater mass?From the figures we have, we can see that the mass of Jupiter is greater than the mass of Earth because it has more zeros.
So, we have to divide the value of the mass of Jupiter by the mass of the earth as follows:
1.9 x 10^27
5.97 X 10^24
=1. 9 ÷ 5.97 × 10^27 - 10^24
= 0.318... ×10³
= 318
Do note that when we have to divide figures that are raised to some figures, the rule will be to subtract the figures as we find in the fact that 27 - 24 is equal to 3. And when we multiply, we arrive at the stated figure.
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I need help ASAP 15 points
The value of x is 9 and the mistake that Maggie made is that she did use the proper operation sign when rearranging the numbers.
How to find vertical opposite angles?When any two straight lines intersect each other, then four angles are formed. The angles that are directly opposite to each other are known as opposite angles. They are also called vertical angles or vertically opposite angles.
Now, from the image attached, we see that the two given angles are opposite angles and as such they are congruent. Thus, we have;
4x + 2 = 7x - 25
Rearrange to collect like terms on same side to get;
7x - 4x = 25 + 2
3x = 27
x = 27/3
x = 9
The mistake that Maggie made is that she did use the proper operation sign when rearranging the numbers.
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oh so Sorry about that Here it is
Answer:
y = 1/4x + 1
1/4 is the slope and 1 is the y-intercept
Henry and his children went into a restaurant that sells drinks for $2 each and tacos for $4 each. Henry has $40 to spend and must buy at least 14 drinks and tacos altogether. If x represents the number of drinks purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
One possible solution for the system of inequalities that models the situation is: (5,7), when he purchases 5 drinks and 7 tacos.
What is a system of inequalities?A system of inequalities is when multiple variables are related in a context, and then inequalities are built to find the numeric range of values that each variable can assume, according to the constraints in this problem.
For this problem, the variables are defined as follows, as stated in the text:
Variable x: number of drinks purchased.Variable y: number of tacos purchased.Both amounts cannot assume negative values, hence the first constraints are:
x ≥ 0.y ≥ 0.He must buy at least 14 drinks, hence:
x + y ≥ 14.
He must spend at most $40, hence, considering the price of each item, the constraint is given by:
2x + 4y ≤ 40.
The graphic solution to the inequality is given at the end of the answer. One possible solution is of (5,7), meaning that he buys 5 drinks and 7 tacos.
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A school wants to create a census to identify the favorite subject of students. Which description describes who they should ask?
all students their favorite subject in school
all sophomores their favorite subject in school
all staff their favorite subject in school
all male students their favorite subject in school
Answer:
all students their favorite subject in school
55 is the difference of Chrissy's height and 21.
Use the variable to represent Chrissy's height.
The value of Chrissy's height from the problem is 76
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Let x represent Chrissy's height. 55 is the difference of Chrissy's height and 21. Hence:
x - 21 = 55
x = 76
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