Answer:
C
Step-by-step explanation:
Subtraction Property
10x - 30 = 7x
Subtract 7x from both sides.
3x - 30 = 0
what is x
x - 3 = -5
Answer: x = -2.
Step-by-step explanation:
Answer: x= -2
Step-by-step explanation: Add three to both sides
Point P is on segment AB such that AP:PB is 4:5. If A has coordinates (4,2), and B has coordinates (22,2), determine and state the coordinates of P.
The coordinates of P are (12, 2).
Solution:
Given data:
A = (4, 2) and B = (22, 2)
P(x, y) is the point on the line segment AB.
AP : PB = 4 : 5.
Section formula:
[tex]$P(x, y)=\left(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n}\right)[/tex]
Here, [tex]x_1=4, y_1=2, x_2=22, y_2=2[/tex] and m =4, n =5.
[tex]$P(x, y)=\left(\frac{4\times 22 + 5\times 4}{4+5}, \frac{4\times 2 + 5\times 2}{4+5}\right)[/tex]
[tex]$P(x, y)=\left(\frac{88 + 20}{9}, \frac{8+10}{9}\right)[/tex]
[tex]$P(x, y)=\left(\frac{108}{9}, \frac{18}{9}\right)[/tex]
P(x, y) = (12, 2)
Hence the coordinates of P are (12, 2).
Which expression is equivalent to 9/10
Answer:
The equivalent expression to 9(15) is 9(10+5).
Step-by-step explanation:
this is equivalent to 910 because 27 x 10 = 30 x 9 = 270.
this is also equal to 9(15) to 9(10+5)
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that is equivalent to 9/10÷2/3 is (9×3)/(10×2).
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.
The expression is equivalent to 9/10÷2/3, can be written as,
[tex]\dfrac9{10} \div \dfrac23\\\\\\= \dfrac{\frac{9}{10}}{\frac23}\\\\\\= \dfrac{9\times 3}{10 \times 2}[/tex]
Thus, the expression that is equivalent to 9/10÷2/3 is (9×3)/(10×2).
Learn more about Expression:
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What is the area of the smallest square? A) 16 in2 B) 25 in2 C) 36 in2 D) 49 in2 PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
Answer: It's B
Step-by-step explanation:
Answer:
d the anwser is d
Step-by-step explanation:
From the elements Li,K,Mg,C,Al,S identify the (a) element belonging to the same group
(b) element which has the tendency to lose two electrons.
(c) element which prefers sharing of electrons to complete its octet
(d) most metallic element
(e) element that forms acidic oxide
(f) element that belongs to group 13
Answer:
(a) Li and K belongs to the same group.
(b) Mg has the tendency to lose two electrons.
(c) C prefers sharing of electrons to complete its octet.
(d) K is the most metallic element.
(e) S forms acidic oxide.
(f) Al belongs to group 13.
_______________________
(a) Li and K belongs to the same group. (Group 1)
(b) Mg has the tendency to lose two electrons because it has 2 ions in it's outermost shell
(c) C prefers sharing of electrons to complete its octet because it has 6 ions in it's outermost shell need 2 ions to complete octet
(d) K is the most metallic element.
(e) S forms acidic oxide.
(f) Al belongs to group 13.
eveuinup: 08%
Use simple interest to find the ending balance.
17) $26,000 at 3% for 2 years
Answer: $27,560
Step-by-step explanation:
Formular for simple interest = PRT
P= 26,000
R=3% = 3/100 = 0.03
T= 2
26,000 x 0.03× 2
= 1,560
Ending balance will be 26,000 + 1,560
= $27,560
Another unit cube with the same length, width, and height as the unit cube shown would have the same volume.
Answer: Yes, if both are the same length width and height, then they would have the same volume.
There are 25 students who answered a survey about sports. Four-fifths of them like football. How many students like football.
A fifth of 25 students would be 5 (25/5).
Four-fifths of the students would be the result of (25/5) multiplied by 4.
(25/5)*4
5*4
= 20; 20 students like football.
Answer:
20
Step-by-step explanation:
25 divided by 5 equals 5 then 5 times 4 to get 4/5 which is 20
An item was increased by 20% but then decreased by 25%. Calculate the percentage change and state if it was an increase or decrease.
Answer:
10% Decrease
Step-by-step explanation:
Let the number is 100.
Now, if we increase the number by 20%, the new number will be -
100 + (100 × 20%) = 100 + 20 = 120
The new number is 120.
Again, if we decrease the new number by 25%, the number will be -
120 - (120 × 25%) = 120 - 30 = 90
The new number is 90.
The change will be decreased by = (100 - 90) = 10
Percentage change = (10 ÷ 100) × 100 = 10%
What is the median house price?
o $750,000
$764,000
$880,000
0 $1,200,000
Submit
Skip
ch
OB W M -
Answer: $822,000
Step-by-step explanation:
Median of even numbers is the average of the two middle numbers
Median = $764,000 + $880,000 ÷ 2
= $1,644,000/2
= $822,000
Tyrone launches a toy rocket into the air with an initial upward velocity of 49 ft/s and an initial height of 0 ft. a. How long will it take the rocket to reach its maximum height? Round to the nearest hundredth. b. How high above the ground will it be? Round to the nearest tenth. c. What is the range of the function? d. Why is there a maximum point on the graph of this function?
a. It will take 1.53 seconds for the rocket to reach its maximum height.
b. The rocket will reach a maximum height of 38.04 ft (rounded to the nearest tenth).
c. The range of the function h(t) is bounded below by h0 (0 ft) and above by h_max (38.04 ft). In mathematical notation, the range is:
Range = {h | h ∈ R, h0 ≤ h ≤ h_max}
d. The maximum point on the graph of the function exists because of the negative coefficient of the t^2 term (-16).
**a. Time to reach maximum height:**
The rocket's motion can be modeled by the formula:
h(t) = -16t^2 + vt + h0
where:
* h(t) is the height of the rocket at time t
* t is the time in seconds
* v is the initial upward velocity (49 ft/s)
* h0 is the initial height (0 ft)
We need to find the time t when the height h(t) is maximum. Since the acceleration due to gravity (-16 ft/s^2) is negative, the maximum height happens at the vertex of the parabola represented by the equation.
The time to reach the vertex can be found using the formula:
t_vertex = -v / (2a) = -49 / (2 * -16) = 1.53 seconds (rounded to the nearest hundredth)
Therefore, it will take 1.53 seconds for the rocket to reach its maximum height.
**b. Maximum height:**
Now, plug the t_vertex value back into the equation to find the maximum height:
h(1.53) = -16(1.53)^2 + 49(1.53) + 0 = 38.04 ft
Therefore, the rocket will reach a maximum height of 38.04 ft (rounded to the nearest tenth).
**c. Range of the function:**
The range of the function depends on the initial parameters (velocity and height) and the gravitational acceleration. Since the acceleration due to gravity is always negative, it acts as a downward force pulling the rocket back down. This means the highest point the rocket can reach is its initial height plus the maximum height achieved due to the initial velocity.
Therefore, the range of the function h(t) is bounded below by h0 (0 ft) and above by h_max (38.04 ft). In mathematical notation, the range is:
Range = {h | h ∈ R, h0 ≤ h ≤ h_max}
**d. Reason for the maximum point:**
The maximum point on the graph of the function exists because of the negative coefficient of the t^2 term (-16). This term represents the downward force due to gravity, which continuously slows down the rocket's upward motion. Eventually, the upward velocity becomes zero, and the rocket starts descending due to gravity. This point of zero velocity corresponds to the vertex of the parabola, which represents the maximum height achieved.
Johnny has 85 cupcakes and then Johnny eats 47 cupcakes how many cupcakes does Johnny
eat
Answer:38
Step-by-step explanation:he has 38 cupcakes leftover
or it could be 47 as it states he has ate 47
The length of a rectangle is 3cm more than twice the width. The perimeter is 84 cm. Find the dimensions .
Width of the rectangle is 13 cm and length is 29 cm.
Step-by-step explanation:
Step 1:
Given perimeter of the rectangle = 84 cm. Let the width be x, then the length of the rectangle = 2x + 3. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.
84 = 2(2x + 3 + x) = 2(3x + 3) = 6(x + 1) [taking 3 as common factor outside)
⇒ 84 = 6x + 6
⇒ 78 = 6x
∴ x = 13
⇒ Width of the rectangle = 13 cm
∴ Length of the rectangle = 2x + 3 = 29 cm
Ruby read 0.85. Of a book what fraction of the book does ruby have left to read? Write in simplest form
A novelty store sells 8 comic books for every 3 action figures. On Monday, they sold 32 comic books. On Tuesday, they sold 18 action figures. What is the difference between the number of action figures sold on Monday and Tuesday?
Answer:
6 action figures
Step-by-step explanation:
8 Comic books for every 3 action figures;
Ratio = 8:3
Monday =
32 Comic books: X
1 part = 32/8 = 4
X = 4 * 3 = 12
Therefore 12 action figures were sold on Monday.
Difference between Monday and Tuesday is 18-12 which is 6 action figures.
Final answer:
The answer provides a step-by-step explanation to find the difference in the number of action figures sold on Monday and Tuesday.
Explanation:
The difference between the number of action figures sold on Monday and Tuesday can be calculated as follows:
Given that the store sells 8 comic books for every 3 action figures, on Monday they sold 32 comic books, which is equivalent to 12 action figures (32 comic books ÷ (8 comic books/3 action figures)).
On Tuesday, the store sold 18 action figures directly. To find the difference, subtract the number of action figures sold on Monday from Tuesday's sales: 18 action figures - 12 action figures = 6 action figures.
Use the slope formula to find the slope that passes through the points : (-4, 10) and (2,-8)
Answer:
slope is 9
Step-by-step explanation:
y2-y1 over x2-x1 so you would do -8-10 over 2-4 which would be -18 over -2 and the you devide -18 devided by -2 and you get your answer and it is 9
Between x = 0 and x = 1, which function has the same average rate of change as y = 3x ? A) y = 8x + 2 B) y = 3x + 2 C) y = 2x D) y = 1 3 -x
Answer: .
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I did the usatestprep
why does an exponent represent exponential decay instead of growth?
The exponential e is used when modeling continuous growth that occurs naturally such as populations, bacteria, radioactive decay, etc.
Explanation
We can think of e like a universal constant representing how fast we could possibly grow using a continuous process. And, the beauty of e is that not only is it used to represent continuous growth, but it can also represent growth measured periodically across time.
The exponential e will be used in situations of continuous growth or decay. The following formula is used to illustrate continuous growth and decay. If a quantity grows continuously by a fixed percent, the pattern can be depicted by this function.
[tex]A = Ao e^k^t[/tex]
In case of exponential decay, k is less than 0.
PLZ ANSWER!
Which statement is true about the expression 12 minus 7 + 3?
The expression is equivalent to 12 minus (7 + 3) because of the associative property.
The expression is equivalent to 12 + 3 + (negative 7) because of the associative property.
The expression is equivalent to 12 minus 3 + 7 because of the commutative property.
The expression is equivalent to 12 + 3 + (negative 7) because of the commutative property.
Answer:
The expression is equivalent to 12 + 3 + (negative 7) because of the commutative property.
Step-by-step explanation:
The expression should be 12- 7 +3 = 8
The associative property allows you to put parenthesis anywhere in the equation as long it just addition and multiplication. In this question, we have subtraction(minus 7) so we can't use the associative property.
The commutative property allows you to move around a number as long as you didn't change its value or its group. Option C changes the value of the number so it's wrong. If you calculate it will give a different answer: 12-3+7=16
Option D didn't change the value so its the right answer.
Answer:
D is correct
Step-by-step explanation:
Order the numbers from least to greatest. -1/20, -5/8, -1 , and -3/4
Answer:
The answer is: -1, -3/4, -5/8, -1/20
ANSWER TO BE NAMED BRAINLIEST GET A THANK YOU AND 5 STAR VOTE FOR YOUR ANSWER
PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ALSO I WILL FRIEND REQUEST U
Find the area of trapezoid ABCD.
A) 80 cm2
B) 96 cm2
C) 104 cm2
D) 112 cm2
So you gotta break the trapezoid into 2 shapes, square and triangle.
Area of the square: 8 x 10 = 80 cm^2
Area of the triangle : 1/2 x base x height
base: 6
height: 8
therefore, 1/2 x 6 x 8 = 24 cm^2
24+80 = 104 cm^2
Therefore your answer is C
The area of the trapezoid ABCD should be option c [tex]104\ cm^2[/tex]
Calculation of the area of the trapezoid ABCD:Since
We know that
Area of the square= [tex]8 \times 10 = 80\ cm^2[/tex]
And,
Area of the triangle: [tex]1/2 \times base \times height[/tex]
Here
base = 6
height = 8
So, the area should be
[tex]= 1/2 \times 6 \times 8 \\\\= 24\ cm^2[/tex]
Now the area of trapezoid is
= 24+80
= 104
Hence, The area of the trapezoid ABCD should be option c [tex]104\ cm^2[/tex]
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Answer please i will give 10 points and mark brainiest
Answer: 320 , 112, 432
Step-by-step explanation:
Volume of Rectangular Prism= 4 * 8 * 10
= 32*10
= 320 ft cubed
Volume of triangular prism= 4 * 7 * 8
= 28 * 8
= 224
= 224 divided by 2
= 112
Volume of composite= 112 + 320
= 432
In a class of 150 students, 60 like music, 110 like sports and 35 like both music
and sports. If one student is selected at random, what is the probability that he
likes sports but not music?
Answer:
11/15 I think cause it's a pretty easy fraction
Final answer:
To determine the probability that a student randomly selected from a class likes sports but not music, calculate the difference between those who like sports and those who like both sports and music, then divide by the total students, resulting in a 50% probability.
Explanation:
The question asks for the probability that a student selected at random from a class likes sports but not music. To solve this, we first understand the problem as a set problem in mathematics. Given that 60 students like music, 110 like sports, and 35 like both music and sports, we can find the number of students who like only sports by subtracting those who like both sports and music from the total number of students who like sports. This calculation is 110 (students who like sports) - 35 (students who like both sports and music) = 75 (students who like only sports).
To find the probability, we divide the number of students who like only sports by the total number of students in the class. So, the probability is 75 (students who like only sports) / 150 (total students) = 0.5 or 50%.
Therefore, the probability that a student selected at random likes sports but not music is 50%.
what two perfect squares are the closest to 175
Answer:
Perfect squares are whole numbers that are squared, so the two that are closest to 175 would be:
13*13=169 and
14*14=196
The two perfect squares closest to 175 are (13*13) and (14*14)
Hope this helps ;)
Ava said she wrote an expression with three terms. She said the first term ha the coefficient 7,the second term have the coefficient 1,and the third has the coefficient 0.1. Each term involves a different variable. Write an expression that could be the expression ava wrote.
Answer:
7*x + y + 0.1*z
Step-by-step explanation:
An expression that satisfy what Ava said she wrote is the following:
7*x + y + 0.1*z
because
it has 3 terms (each summand);the coefficient (the number that multiplies the variable) of the first term is 7, of the second term is 1 (it is omitted because 1*y = y) and of the third term is 0.1;each term involves a different variable: x, y and z.Answer:
The expression can be written as
7a + b + 0.1c
Step-by-step explanation:
Ava wrote an expression with three terms . According to the question each term involve a different variable. This means the term have different value. Since the term have different variable, each term can be represented as follow:
a , b and c
The first term which is a has a coefficient of 7. The second term which is b has a coefficient of 1 and the last term which is c has a coefficient of 0.1.
The coefficient of any value is usually the number in front of it.
The three terms and their coefficients can be expressed as follows:
First term and coefficient = 7a
Second term and coefficient = 1b
Third term and coefficient = 0.1c
The expression Ava wrote can be represented as follows
7a + b + 0.1c
Note an expression that contains variable , symbols( +, - ) and numbers is known as an algebraic expression. And
7a + b + 0.1c is an algebraic expression.
A baker is going to triple his cake recipe.If the original recipe call for two thirds cup of oil,how much oil will he need.
Answer: 6/3
Step-by-step explanation: The reason it's 6/3 is, if he's going to triple the amount of oil that means he multiplying 3 because triple = 3 and he normally uses 2/3 so mutliply that and you get 6/3 ! If you need it simplifty its 2! Hope this helps.
Which point is on the circle centered at the origin with a radius of 5 units?
Distance formula: (x2 – x2)2 + (v2 - Yo)?
(2, 721)
(2, V23)
(2, 1)
(2,3)
Answer:
(2,√21)
Step-by-step explanation:
The circle centered at the origin has equation:
[tex] {x}^{2} + {y}^{2} = 25[/tex]
Any point that satisfies this equation lie on this circle.
When x=2, we substitute and solve for y.
[tex] {2}^{2} + {y}^{2} = 25 \\ 4 + {y}^{2} = 25 \\ {y}^{2} = 25 - 4 \\ {y}^{2} = 21[/tex]
Take square root to get:
[tex]y = \pm \sqrt{21} [/tex]
Therefore (2,-√21) and (2,√21) are on this circle.
From the options, (2,√21) is the correct answer
Answer:2, square root of 21 just took the test!
Step-by-step explanation:
.
A semi truck can hold up to 200 gallons of fuel. Which
inequality shows this using g for the amount of fuel the
semitruck can hold?
If you were calculating the volume of a cube that has a side length of 8 inches, how would you write the calculations in exponential form? What are 2 more ways to read the exponent verbally
Answer:
[tex] {8}^{3} \: \: eight \: exponent \: 3 \: or \: eight \: raised \: to \: the \: power \: 3[/tex]
Step-by-step explanation:
[tex] {8}^{3} \: \: eight \: exponent \: 3 \: or \: eight \: raised \: to \: the \: power \: 3[/tex]
Find the area of the isosceles triangle with legs 12 and base 17. Simplify all radicals
a2+b2=c2
Answer:
[tex]Area= \frac{17 \sqrt{865} }{4} \: {units}^{2} [/tex]
Step-by-step explanation:
From Pythagoras theorem,
[tex] {h}^{2} = {12}^{2} + { (\frac{17}{2} )}^{2} [/tex]
[tex]{h}^{2} = \frac{865}{4} [/tex]
[tex]h = \frac{ \sqrt{865} }{2} [/tex]
The area of the isosceles triangle is
[tex]Area= \frac{1}{2} bh[/tex]
[tex]Area= \frac{1}{2} \times 17 \times \frac{ \sqrt{865} }{2} = \frac{17 \sqrt{865} }{4} [/tex]