Answer:
-9
Step-by-step explanation:
5x+8-3x = -10
Combine like terms
2x+8 = -10
Subtract 8 to both sides
2x = -18
Divide both sides by 2
x = -9
Answer:
-9
Step-by-step explanation:
5x + 8 - 3x = -10
Combine like terms
2x + 8 = -10
Subtract 8 to both sides
2x = -18
Divide both sides by 2
x = -9
Christine is making chocolate chip cookies for a bake sale. She needs ¾ cup brown sugar for each batch of cookies she makes. She wants to make 3 batches of cookies. She has 3 cups of brown sugar. Does Christine have enough brown sugar to make 3 batches of cookies? Without actually solving the problem, explain why or why not.
-2(x+1)-x+5 what do you think it is
Answer:
The answer is -3x + 3
Sasha's retirement party will cost $15 if she invites 3 guests. What is the maximum number of guests there can be if Sasha can afford to spend a total of $45 on her retirement party? Solve using unit rates.
The maximum number of guests she can invite is 9.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
Given that If Sasha invites three guests, the cost of her retirement party will be $15.
If she can afford to spend $45 the maximum number of the guest will be calculated as:-
3 guests = $15
1 guest = $5
Calculate the maximum guest,
Number of guests = $45 / $5
Number of guests = 9
Therefore, the most visitors she may invite is 9.
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What is the value of x?
Answer:
12
Step-by-step explanation:
10x - 20 + 6x + 8 = 180
Supplementary angles
Answer:
x = 12
Step-by-step explanation:
The two given angles create a straight line (Definition of Straight Line). This means that:
\((10x - 20) + (6x + 8) = 180\)
First, combine like terms. Like terms are terms that share the same amount of the same variables:
\((10x + 6x) + (8 - 20) = 180\\(16x) + (-12) = 180\\16x - 12 = 180\\\)
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 12 to both sides of the equation:
\(16x - 12 = 180\\16x - 12 (+12) = 180 (+12)\\16x = 180 + 12\\16x = 192\)
Next, divide 16 from both sides of the equation:
\(\frac{16x}{16} = \frac{192}{16} \\x = \frac{192}{16}\\ x = 12\)
12 is your answer.
~
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5) Which number is greater than 985,887 0 985,599 O 984,978 986,331 985,770
Answer:
986,331
Step-by-step explanation:
Hello!
Answer:
Your answer sould be 986,331!
Step-by-step explanation:
Hope this helps! Have a good day/night! <3
Which is the
4
graph of f(x) = 4[*?
-3-2--1₁-
-2-
2 3 4 5 6
4
1
1-2--11-
-2
2 3
56
4
2-11.
-2-
23
56
Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .
Given ,
f(x) = \(4[(1/2)^{x}]\)
Mathematically the graph will of exponential in nature.
So,
Let us assume few values to understand the nature of graph.
Firstly,
Let x= 1
f(x) = \(4[(1/2)^{1}]\)
f(x) = 2
Let x = 2
f(x) = \(4[(1/2)^{2}]\)
f(x) = 1
Let x = 3
f(x) = \(4[(1/2)^{3}]\)
f(x) = 0.5
Thus from these values of f(x) corresponding to the values of x second graph will be correct .
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What is the value of Z?
The value of Z in the similar triangles is 6
Calculating the value of Z?From the question, we have the following parameters that can be used in our computation:
The triangle
Using the corresponding sides of similar triangles, we have
z/12 = (14 - z)/16
Cross multiply the equation
This gives
16z = 168 - 14z
So, we have
30z = 168
Divide
z = 5.6
Approximate
z = 6
Hence, the value of Z is 6
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Using the net below, find the surface area
of the rectangular prism.
Anybody help please?
Answer:
the surface area would be
94 cm squared
In a group of 50 students, 12 play basketball and volleyball
, 9 play volleyball
and soccer, 8 play basketball and play soccer, and 4 play all 3 sports.
Altogether, 21 play basketball, 22 play volleyball, and 19 play soccer. How
many of the 50 students don't play any of the 3 sports?
Answer:
17 don't play any
Step-by-step explanation:
12+9+8+4=33
33-50=17
Scarlett draws a rectangle that measures 9 inches long by 4 inches wide. She draws a new rectangle that has a scale factor of 125%. What are the dimensions of her new rectangle?
Answer:
11.25 in. by 5 in.
Step-by-step explanation:
125% = 125/100 = 1.25
9 in. × 1.25 = 11.25 in.
4 in. × 1.25 = 5 in.
Answer: 11.25 in. by 5 in.
Step-by-step explanation:
125% = 125/100 = 1.25
9 in. × 1.25 = 11.25 in.
4 in. × 1.25 = 5 in.
Answer: 11.25 in. by 5 in.
HELP ASAP PLEASE !!!!
Solve the inequality c+2/5≥11/5, and write the solution in interval notation
Answer:
[9/5,∞)
Step-by-step explanation:
Rearrange variables to the left side of the equation: c ≥ 11/5-2/5
Calculate: c ≥ 9/5
Express solution set in interval notation: [9/5,∞)
(c) Problem 17:
How far will the baseball have dropped after
4.5 seconds?
(first taught in
lesson 90)
Afton
After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.
To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.
The terms involved in this calculation are:
Time (t): 4.5 seconds.
Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.
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2. A(n) is NOT an example of an agreement. (1 point)
O lease
O month-to-month
O annual
O fine print
An Annual is not an example of an agreement.
Lisa read 2/5 of her book over the weekend and 1/3 of it on monday. What fraction of the book is left?
Answer:
4/15
Step-by-step explanation:
To answer this question, we're gonna want to convert the fractions so that they have the same denominator (the number on the bottom of the fraction) and it's easy for us to visualize what's going on. AKA, we need to find the least common denominator (LCD).
We're going to multiply 2/5 and 1/3 by a number so they have the same denominator. In this case, that would mean multiplying them by the other fractions denominator. So multiplying 2/5 by 3 and 1/3 by 5.
2/5x3= 6/15. 1/3x5=5/15.
Now we're viewing the book in 15ths instead of both 5ths and 3rds.
6+5=11, so we know that 11/15 of the book has been read.
15/15-11/15=4/15
4/15 of the book is left to read.
Hope this explanation helped!
Determine all minors and cofactors of the matrix A given below (5)
2 −1 1 3
0 1 1 3
2 1 1 0
2 0 −1 −2
What is the average rate of change for this quadratic
function for the interval from x=2 to x = 4?
A. 12
B. -6
C. -12
D. 6
-10-
Click here for long description
SUBMIT
The average rate of change of the function over the interval is -6
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
The graph
The interval is given as
From x = 2 to x = 4
The function is a quadratic function
This means that it does not have a constant average rate of change
So, we have
f(2) = -3
f(4) = -15
Next, we have
Rate = (-15 + 3)/(4 - 2)
Evaluate
Rate = -6
Hence, the rate is -6
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The graph shows that the solution to 2 = 0.5^x is X = -1 What is the solution to 2 = 0.5^x - 4
Answer in Complete Sentences
Step-by-step explanation:
2 = 0.5^x - 4 is the same as
6 = 0.5^x
x is the logarithm of 6 to the base of 0.5.
which is the same as
log(6)/log(0.5) = -2.584962501...
Me pueden decir xfavor si esta figura es paralelogramo o no lo es
Answer:
Es un paralelogramo porque los lados opuestos son paralelos
Step-by-step explanation:
How far apart are the ships
A pilot is flying over the ocean. She determines the angles of depression to the two ships are 49 and 68 as shown. The plane is 4 miles from A. The ships are 3.8 miles apart from each other.
In ΔABC,
There are two ships at point A and B in the ocean(a flat water level).
A pilot is flying at point C over the ocean.
Angle of depression from C to A = 49°
Angle of depression from C to B = 68°
Since, DE || AB
Hence because of alternate interior angles are equal.
Therefore, ∠DCA = ∠BAC = 49°, and
∠ECB = ∠ABC = 68°
Now in ΔABC, sum of three inside angles in a triangle is 180°.
Hence, ∠A + ∠B + ∠C = 180°
49° + 68° + ∠C = 180°
∠C = 180° - 49° - 68° = 63°
Now, in ΔABC ∠A = 49°, ∠B = 68°, ∠C = 63°
Distance of A to C = AC = b = 4
By using sine rule, \(\frac{a}{SinA} = \frac{b}{SinB} =\frac{c}{SinC}\)
\(\frac{a}{Sin49\textdegree} = \frac{4}{Sin68\textdegree} =\frac{c}{Sin63\textdegree}\)
⇒ \(\frac{4}{Sin68\textdegree} =\frac{c}{Sin63\textdegree}\)
⇒ \(\frac{4}{0.9271} =\frac{c}{0.891}\)
⇒ c x 0.9271 = 0.891 x 4
⇒ c x 0.9271 = 3.564
⇒ c = \(\frac{3.564}{0.9271}\)
⇒ c = 3.8442
Rounding off to the nearest tenth of a mile,
c = 3.8
Therefore, distance between two ships = AB = c = 3.8 miles
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If f(x) = 4x – 2 and g(x) = 5x – 3, what is g(f(2))?
Step-by-step explanation:
f(2) = 4(2) - 2
= 8 - 2
= 6
g(f(2)) = g(6)
g(6) = 5(6) - 3
= 30 - 3
= 27
g(f(2)) = 27
Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake. How much space does Lacey's mom cover in frosting?
Answer:
220 in.²
Step-by-step explanation:
top face - rectangle: A = LW = 4 in. × 2 in. = 8 in.²
bottom face - rectangle: A = LW = 9 in. × 2 in. = 18 in.²
left face - rectangle: A = LW = 12 in. × 2 in. = 24 in.²
right upper face - rectangle: A = LW = 8 in. × 2 in. = 16 in.²
right lower face - rectangle: A = LW = 4 in. × 2 in. = 8 in.²
middle horizontal face - rectangle: A = LW = (9 - 4) in. × 2 in. = 10 in.²
front L-shaped face - 2 rectangles: A = (12 × 4 + 5 × 4) in.² = 68 in.²
back L-shaped face - same as front L-shaped face: A = 68 in.²
total surface area = (8 + 18 + 24 + 16 + 8 + 10 + 68 + 68) in.²
total surface area = 220 in.²
standard form. (x+8)(x−6)
Answer:
x^2-2x-48
Step-by-step explanation:
FOIL
Firsts = x*x = x^2
outside = x*-6 = -6x
inside = 8*x = 8x
lasts = 8*-6 = -48
add all together x^2-6x+8x-48 = x^2-2x-48
Answer:
x² + 2x - 48
Step-by-step explanation:
( x + 8 ) ( x - 6 )
= x ( x - 6 ) + 8 ( x - 6 )
= x*x - 6*x + 8*x + 8*( - 6 )
= x² - 6x + 8x - 48
= x² + 2x - 48
A certain country has 266.76 million acres of forest. Every year, the country loses 3.51 million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 91.26 million acres of forest left?
After _____
years, this country would have 91.26 million acres of forest left.
Answer:
50 Years
Step-by-step explanation:
175.5 million (The difference) divided by 3.51 million equals 50.
Waitonehundredmorepoints
Answer:
She Jen djzksndhdi
Step-by-step explanation:
Answer:
Thank you so much!! let me know if you need any help on anything!
Step-by-step explanation:
The dot plot shows the time trials of an experiment. Each number on the dot plot represents the amount of time, in seconds, it took to complete a trial. How many time trials were recorded during the experiment? Enter the answer in the box. time trials A number line ranging from 15 to 25 with two dots over 15, three dots over 17, two dots over 19, two dots over 20, one dot over 21, four dots over 23, one dot over 24, and three dots over 25.
There were 18 time trials recorded during the experiment.
To determine the number of time trials recorded during the experiment, we count the total number of dots on the dot plot.
According to the given information, we have:
- Two dots over 15
- Three dots over 17
- Two dots over 19
- Two dots over 20
- One dot over 21
- Four dots over 23
- One dot over 24
- Three dots over 25
By adding up these counts, we get:
2 + 3 + 2 + 2 + 1 + 4 + 1 + 3 = 18
Therefore, there were 18 time trials recorded during the experiment.
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Write the equation in slope-intercept form.y= -3(x – 4) + 5(2x - 1)
Given equation is
\(y=-3(x-4)+5(2x-1)\)On simplifying the equation,
\(\begin{gathered} y=-3x+12+10x-5 \\ y=7x+7 \end{gathered}\)Hence the slope intercept form of the given equation is
\(y=7x+7\)Please help worth 10 points is this true that line n is perpendicular to line p? I think the answer is C, is this correct or not?
Answer: A
because slope are
36 and 60 as ratio //////// do not mind what I'm going to type on this sidehdshhdsdhdshjhsjdhsdhjd
36:60
= 18:30
= 9:15
= 3:5
Whoever knows the answer tell me please thank you :)
Answer:
Ans its 50
Let me know if its incorrect:-)
Answer is:
s = 50
Here's how to solve:
In this inequality, our first step is to find the least common denominator (that applies to both fractions, of course), or LCD. For the LCD, the we must find a number that is a multiple of both 21 and 30, and then multiply both sides of the inequality by said value. The reason we multiply on both sides of the inequality is because of the Line of Equality, which is a ruling that states that what you do on one side of an inequality, you also must do on the other.
In this case, our LCD is 210. After multiplying both sides, we are left with 350 = 7s.
Our next step is to isolate the variable 7s to make it singular. 1s, or s, is what we are trying to change the variable to, since that is what the isolated variable will look like. By dividing 7s by 7, we can successfully isolate the variable to 1s/s. Due to the Line of Equality rule, we should do this to both sides. After dividing each side by 7, we are left with s = 50.
Therefore, the value of s is 50, making the answer s = 50.
Bonus: Showing Work
Finding the LCD;
LCD for 21:
( 21 * 1 , 21 * 2 , 21 * 3 , 21 * 4 , etc... )
Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273
LCD for 30:
( 30 * 1 , 30 * 2 , 30 * 3 , 30 * 4 , etc... )
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300
LCD Found; 210
Multiplying by LCD;
( 35 / 21 * 210 or 35 ÷ 21 * 210 )
Left Side Steps:
Simplify- 35 / 21 --> 35 ÷ 7 / 21 ÷ 7 --> 35 ÷ 7 = 5 & 21 ÷ 7 = 3 --> 5 / 3 ( * 210 )
Single Fraction Format/Format Change- 5 / 3 * 210 --> 5 * 210 / 3
Multiply Numerator(s)/Top- 5 * 210 / 3 --> 5 * 210 = 1050 --> 1050 / 3
Divide Numerator & Denominator- 1050 / 3 or 1050 ÷ 3 --> 350
Right Side Steps:
( s / 30 * 210 or s ÷ 30 * 210 )
Single Fraction Format/Format Change- s / 30 * 210 --> s * 210 / 30
Multiply Numerator(s)/Top- s * 210 / 30 --> 210s / 30
Divide Numerator & Denominator- 210s / 30 or 210s ÷ 30 --> 7s
New Inequality/Equation Found: 350 = 7s
Dividing by 7;
Left Side: 350 ÷ 7 = 50
Right Side: 7s ÷ 7 = s
New Inequality Found; 50 = s, or s = 50 (the sign does not flip because the equivalent sign is the same both ways - and the opposite would be the same as the current value)
Hope this helps! :]