The expression represents the total number of points Mona will earn if she catches x fish, y octopus, and z crabs is 30x + 80y - 15z.
What is an expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given to us
30 points for fish
80 points for Octopus
-15 points for crab
As it is given in the problem that Mona catches x number of fishes, y number of octopuses, and z number of cabs. therefore,
Points earned through fishes [tex]=x \times 30 = 30 x[/tex]
Points earned through Octopus [tex]=y \times 80 = 80 y[/tex]
Points earned through crabs[tex]=z \times -15= -15 z[/tex]
Total points earned by Mona in the video game
= Points earned through fishes, octopus, and crabs
[tex]=30x + 80 y -15z[/tex]
Hence, the expression represents the total number of points Mona will earn if she catches x fish, y octopi, and z crabs is 30x + 80y - 15z.
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In a function, y varies directly with x, and the constant of variation is 2. Which table could represent this function?
х
2
4
6
8
у
1
2
4
8
colo
у
4
х
2.
4
6
8
10
х
2
4
6
8
у
8
12
16
20
600 ola
COCO
х
2
у
4
Answer:
the first option is correct
In a function, y varies directly with x and the constant variation is 2, then the function is y=2x. Therefore, option D is the correct answer.
What is direct variation?Mathematical relationship between two variables which can be expressed by an equation in which one variable is equal to a constant times the other.
Given that, in a function, y varies directly with x and the constant variation is 2.
y∝x
y=kx, where k is constant variation.
Here, k=2
Then, y=2x
When x=1, 2, 3, 4 and 5.
We get, y 2, 4, 6, 8 and 10
Therefore, option D is the correct answer.
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Your cell phone bill is $38.00.
You have a coupon for 5% off.
What is the new total?
Please help me
Jacob can drive 42 miles per gallon in his new hybrid car. He needs to drive 336 miles next week. How many gallons of gas will Jacob need to drive next week?
Identify the terms and the like terms in this expression. 7 + a – 2 + 3a + b2 Which statements are true? Check all that apply.
- The expression contains seven terms.
- The terms in the expression are 7, a, 2, 3a, b2.
- Constants are like terms.
- 2 and b2 are like terms because they both contain the number 2.
- a and 3a are like terms.
- a, 3a, and b2 contain variables, so they are like terms
Step-by-step explanation:
Terms can be a single number or variable, or a coefficient.
The expression contains seven terms, incorrect. Doesn't include coefficients.
The terms in the expression are [tex]7[/tex], [tex]a[/tex], [tex]2[/tex], [tex]3a[/tex], [tex]b^2[/tex]. Correct. Includes coefficients.
Constants are like terms, correct. (7, 2)
2 and [tex]b^2[/tex] are like terms because they both contain the number 2, incorrect. [tex]b^2[/tex] can only combine with a coefficient with the exact same terms. ([tex]b^2[/tex])
a and 3a are like terms, correct. Both are like terms since both have the variable of a.
a, 3a, and [tex]b^2[/tex] contain variables, so they are like terms. Incorrect. As said before, [tex]b^2[/tex] can't combine with 3a and a. (4a)
Solve the inequality.
20 < k + 19
Solution:
Simplify the inequality and solve.
20 < k + 19=> 20 - 19 < k=> 1 < kThe simplified inequality is 1 < k.
[tex] \sf20 < k + 19[/tex]
Move the variable to the left-hand side and change its sign
[tex] \sf20 - k < 19[/tex]
Move the constant to the right-hand side and change its sign
[tex] \sf \: - k < 19 - 20[/tex]
Calculate the difference
[tex] \sf \: - k < - 1[/tex]
Change the signs on both sides of the inequality and flip the inequality sign
[tex] \boxed{ \tt \: k > 1}[/tex]
What is the measure of m?
m
m
n
8
4
m = [?]
=
Give your answer in simplest form.
Enter
Answer:
m = 4√6
Step-by-step explanation:
Using the "geometric mean" relations applicable to this triangle, the value of m is the geometric mean of the hypotenuse segments it touches:
m = √((8)(8+4)) = √96
m = 4√6
__
Additional comment
Similarly, n = √(4×8) = 4√2.
These relations come from the similarity of the triangles. For m, the proportion is ...
long side/hypotenuse = 8/m = m/12
96 = m² ⇒ m = 4√6
Name the rule for this sequence.
18, 14, 10, 6, 2,…
A. subtract 4 from the previous term
B. add 4 from the previous term
C. divide the previous term by 4
D. divide the previous term by 4
Answer:
It is A
Step-by-step explanation:
Because 18 to 14 is subtracting 4 and then it goes 14 to 10 which is another 4. Hope you ace the quiz or test or whatever your doing hope it helps.
Option A
It's an arithmetic sequence
First term=a=18Common difference=d=4.Rule is
[tex]\\ \rm\hookrightarrow a_n=a+(n-1)d[/tex]
[tex]\\ \rm\hookrightarrow a_n=18+(n-1)4[/tex]
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
Answer:
m∠4 = 140°
Step-by-step explanation:
m∠1 = m∠4 (parallel lines with same angle)
m∠2 = m∠3 (parallel lines with same angle)
if m∠2 = m∠3 are equal:
3x + 10 = 5x - 10
3x - 5x = -10 - 10
-2x = -20
x = 10°
m∠2 = m∠3 = 3x + 10 = 3(10) + 10 = 40°
m∠1 + m∠4 + 40° + 40° = 360°
2 m∠4 = 360° - 80°
2 m∠4 = 280°
m∠4 = 140°
Answer:
m∠4 = 140°
Step-by-step explanation:
Vertical Angle Theorem: vertical angles are always congruent.
Therefore, m∠1 = m∠4 and m∠2 = m∠3
As m∠2 = m∠3, then
⇒ 3x + 10 = 5x - 10
⇒ 20 = 2x
⇒ x = 10
So m∠2 = 3x + 10 = 3(10) + 10 = 40°
m∠2 and m∠4 form a linear pair
Therefore m∠2 + m∠4 = 180°
⇒ 40 + m∠4 = 180
⇒ m∠4 = 140°
Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair always sum to 180°
What is: Factorise 7−x^2
Answer:
([tex]\sqrt{7}[/tex] - x )([tex]\sqrt{7}[/tex] + x )
Step-by-step explanation:
Using the difference of squares
a² - b² = (a - b)(a + b) , then
7 - x²
= ([tex]\sqrt{7}[/tex] )² - x²
= ([tex]\sqrt{7}[/tex] - x)([tex]\sqrt{7}[/tex] + x)
help me pleaseee!!! just one more question-!!
use a ruler to draw a nicer shape
How many solutions does the equation 4(x-1)=1/2(x-8) have?
Answer:
Should be just one solution :)
Step-by-step explanation:
Answer:
It just has one solution :)
Step-by-step explanation:
4(x+1)=1/2(x-8)
4x-4 = 1/2(x-8)
4x-4=1/2x-4
4x=1/2x
8x=x
(8x-x=0)
(7x=0)
Therefore x=0
Can someone please help me? :(
Answer:
x>3 here is your answer
What is the measure of an exterior angle of a regular hexagon?
Answer:
60 degrees
Step-by-step explanation:
Each exterior angle of a regular polygon of n sides = 360° / n.
y is directly proportional to x2
If y = 8 when X = 2 find
y when x 3
.
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"y" varies directly with }x^2}{y=kx^2}\qquad \textit{we also know } \begin{cases} y=8\\ x=2 \end{cases} \\\\\\ 8=k(2)^2\implies 8=4k\implies \cfrac{8}{4}=k\implies 2=k~\hfill \boxed{y=2x^2} \\\\\\ \textit{when x = 3, what is "y"?}\qquad y=2(3)^2\implies y=2(9)\implies y=18[/tex]
Please help!! Will give brainliest.
Answer:
Step-by-step explanation:
[tex]=3x-(-2-4x)\\\\=3x+2+4x\\\\=7x+2\\\\=7*5+2\\\\=35+2\\\\=37[/tex]
[tex]=3x-(2-4x)\\\\=3x-2+4x\\\\=7x-2\\\\=7*5-2\\\\=35-2\\\\=33[/tex]
[tex]=-3x-(-2-4x)\\\\=-3x+2+4x\\\\=x+2\\\\=7+2\\\\=9[/tex]
Landon has 76 dinosaurs, but he gives his sister 13 of them to play with. Then he put his dinosaurs into 9 groups. How many dinosaurs are in each group?
Answer:
7 groups
Step-by-step explanation:
76-13 is 63
63 divided by 9 is 7
Answer:
7
Step-by-step explanation:
Subtract 13 dinosaurs from the 76 original dinosaurs
76-13 = 63
Now divide them into 9 groups
63/9 = 7
There are 7 dinosaurs in each group
So bad with this someone please help
Answer:
The mean travelling time is 25 minutes.
Step-by-step explanation:
add up all of the values and divide by how much values there are. 5+15+25+35+45 equals 125. 125/5 equals 25
what I wrote earlier was cut off sorry, this is what I mean:
You can download Gauthmath if you want to solve your math problems.
Available on Playstore/Appstore
Cruz's Frame Shop makes a mat by removing out the inside of a rectangular mat board. Use the measurements from the diagram to find the area of the mat for the frame. (area of the shaded region). Do not use units
Answer:
2x -16
Step-by-step explanation:
The area of each rectangle is the product of its length and width. The shaded area is the difference between the areas of the outside rectangle and the inside rectangle.
shaded area = (2x -1)(x +6) -(2x +5)(x +2)
= (2x^2 +11x -6) -(2x^2 +9x +10)
= (2 -2)x^2 +(11 -9)x +(-6 -10)
= 2x -16 . . . . . area of the shaded region
solve for x y=(5)/(\sqrt(x-3))
[tex]x = (5/y)^2 + 3[/tex]
If an object is projected upward with an initial velocity of 125 ft per sec, its height h after t seconds is h = - 161? + 125t. Find the height of the object after 5 seconds
Answer:
464 ft
Step-by-step explanation:
h = 125t - 161
h = 125(5) - 161
h = 625 - 161
h = 464
Can the sides of a triangle have lengths 7, 12, and 18?
Answer:
Yes
Step-by-step explanation:
By the Triangle Inequality Theorem, if a supposed triangle has sides [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] where [tex]c[/tex] is the longest side, then [tex]a+b\geq c[/tex].
Here, [tex]7+12\geq18[/tex], so the given sides of the triangle can have these lengths
lol i need an answer and pls explan it to me
The slope of AB is different from the slope of BC
==================================================
Reason:
Points A,B,C are all on the same line. We consider them collinear points. This means that the slopes of AB, AC and BC are the same value.
If the slopes were different at all, then the points wouldn't be collinear. In this case, the slope is 2/3 because we move up 2 each time we move to the right 3 units.
Can someone please solve these up to 8? ( if you can do up to 13 even better)
Answer:
1. some rectangles are squares
2. all rhombuses are quadrilaterals
3. no squares are triangles
4. some rectangles are regular quadrilaterals (squares are rectangles)
5. some quadrilaterals have four congruent angles
6. no rectangles are rhombuses
7. all squares are regular quadrilaterals
8. some parallelograms have four congruent angles
The price for 3 protein bars $3.75, and the price of 3 fruit cups is $1.50. Write the equation
that represents the relationship between the number of protein bars, x, and fruit cups, y,
that you can buy with $15.50.
How many fruit cups can you buy with 4 protein bars?
Answer:
7 fruit cups
Step-by-step explanation:
$3.75/3x + $1.50y = $15.50
So, if you have 4 protein bars, the equation would read:
1.25x + 1.5y = 15.5
1.25(4) + 1.5y = 15.5
5 + 1.5y = 15.5
1.5y = 10.5
y = 7
Use the five rules to determine whether the following are valid from the Boolean standpoint, valid from the Aristotelian standpoint, or invalid. For those that are invalid from either the Boolean or Aristotelian standpoint, name the fallacy or fallacies committed. Check your answer by constructing a Venn diagram for each.
i. No individuals sensitive to the difference between right and wrong are people who measure talent and succss in terms of wealth.
ii. All corporate takeover experts are people who measure talent and success in terms of wealth.
iii. Therefore, no corporate takeover experts are individuals sensitive to the difference between right and wrong.
The statements presented would be valid from both the Aristotelian and the Boolean standpoint.
What are the principles that make statements valid or invalid?Some principles to test is statements are valid or invalid are:
Universal prepositions are valid if they refer to existing elements (Aristotelian standpoint).Prepositions are valid if the premises and conclusion are valid even if these do not refer to existing elements (Boolean standpoint).Based on this, the statements presented would be valid from both the Aristotelian standpoint and the Boolean standpoint because the premises (I and II) are logically connected, and they refer to existing elements.
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how would you solve for the variables?
Answer:
Solution
Let The side of Triangle be ABC.
Let B be perpendicular.
Hypotenuse=30
Perpendicular=?
Base=24
Perpendicular= √h2-b2
=√30×30-24×24
=√900-576
=√324
=18
Please explain number 17 that is the answer on this picture but I cannot understand it I need this done tonight you will get Brainly
Answer:
[tex]x^{2} +2y^{2} +8xy[/tex]
Step-by-step explanation:
[tex]6x^{2} -4xy + 2y^{2} -5x^{2} +2xy+10xy[/tex]
Okay, so of course you need to add like terms. But where should you start? Well, [tex]6x^{2}[/tex] and [tex]-5x^{2}[/tex] are both like terms, so lets add them first.
[tex]6x^{2} -5x^{2} = x^{2}[/tex]
Also, [tex]-4xy[/tex], [tex]2xy[/tex], and [tex]10xy[/tex] are like terms, so we can add them together too.
[tex]-4xy + 2xy +10xy = 8xy[/tex]
There isn't anymore like terms, so now we need to put it in simplest form.
[tex]x^{2} +2y^{2} +8xy[/tex]
Hope this helps! I actually think 2y^2 is before x^2 in the answer, but unless you need it in simplest form it shouldn't matter. Review with your teacher before turning in if you can. :))
The model of a trinomial is shown. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 24 tiles are in the Product spot: 1 is labeled x squared, 7 are labeled negative x, the 2 tiles below x squared are labeled x, and the 14 tiles below the negative x tiles are labeled negative. What are the factors of the trinomial? Select two options. X – 14 x 7 x – 7 x – 2 x 2.
The factors of the model of trinomial, which is represented by the algebra tile configuration, is,
[tex]x-7, x-2[/tex]
What is trinomial?Trinomial is the polynomial in which the highest power of the unknown variable is 3.
The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
The model of a trinomial is shown. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot.
24 tiles are in the Product spot: 1 is labeled x squared, 7 Thus, one of the factor of trinomial is,
[tex](x-7)[/tex]
The 2 tiles below x squared are labeled x, and the 14 tiles below the negative x tiles are labeled negative. Thus, the another factor of the trinomial is,
[tex](x+2)[/tex]
The factors of the model of trinomial, which is represented by the algebra tile configuration, is,
[tex]x-7, x-2[/tex]
Thus, the option C and E is the correct option.
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Answer:
3 and 5
Step-by-step explanation:
2022
When you add fractions does the denominator change.
it may or may not change
Answer:
No.
Step-by-step explanation:
The denominator only changes when multiplying or dividing.
.please help my teacher is going to call me in 7 minutes
Answer:
1.2 * 10^14
Step-by-step explanation:
Do 2*6 = 12
Do 10^5 * 10^8 = 10^(5+8)=10^13
Multiply the two answers together: 12 * 10^13
Write in scientific notation: 1.2 * 10^14
Solution:
Before we begin solving, I suggest reviewing a rule about multiplying exponents.
Rule about multiplying exponents:
Rule: If the base of a number is multiplied with the same base, the exponents will add.Now, let's solve for the answer.
Open the brackets of both expressions.
(2 x 10⁵) x (6 x 10⁸)2 x 10⁵ x 6 x 10⁸)Simplify 2 x 10⁵ x 6 x 10⁸.
2 x 10⁵ x 6 x 10⁸Add the exponents as per multiplying exponent rule
=> 2 x 6 x (10⁵⁺⁸)=> 12 x 10¹³Hence, the answer is 12 x 10¹³.
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