help me figure it out
the number of students enrolled in school increased by 12% from last year to this year. The enrollment last year was 15,500. What is the enrollment this year?
To find the enrollment this year, calculate 12% of last year's enrollment and add it to the enrollment from last year. The enrollment this year is 17,360.
Explanation:To find the enrollment this year, we need to calculate 12% of last year's enrollment and add it to the enrollment from last year.
Calculate 12% of 15,500: 12% × 15,500 = 0.12 × 15,500 = 1,860.Add 1,860 to last year's enrollment: 15,500 + 1,860 = 17,360.Therefore, the enrollment this year is 17,360.
There are 35 more musicians in the String section of a city Symphony Orchestra than in its Brass section. There are 29 musicians in the Brass section. 1. How many musicians in all are in the String and Brass sections of the Symphony Orchestra?
Final answer:
There are a total of 93 musicians in both the String and Brass sections of the Symphony Orchestra, with 29 in the Brass and 64 in the String section.
Explanation:
To determine how many musicians are in both the String and Brass sections of the Symphony Orchestra, we start by noting that there are 29 musicians in the Brass section. Since there are 35 more musicians in the String section, we add 35 to the number of Brass musicians to find the total in the String section:
Number of musicians in the String section = Number of musicians in the Brass section + 35 = 29 + 35 = 64 musicians.To find the total number of musicians in both sections, we then add the number of musicians in the Brass section:Total number of musicians in both sections = Number of musicians in the Brass section + Number of musicians in the String section = 29 + 64 = 93 musicians.What is 0.011 as a fraction in the lowest terms ?
Question Below And Please Answer ASAP!!
The first four terms of a sequence are shown below. 6, 2, -2, -6 Which of the following functions best defines this sequence?
152.5 is 250% of what number?
Six times the sum of a number and 7 equals 2
Final answer:
To solve the algebraic equation stated as 'six times the sum of a number and 7 equals 2,' we distribute, subtract 42 from both sides, and then divide by 6, leading to the solution x = -20/3 or approximately -6.67.
Explanation:
The question involves solving an algebraic equation to find an unknown number. When the problem states that six times the sum of a number and 7 equals 2, it can be represented mathematically as 6(x + 7) = 2. To find the value of x, you need to follow these steps:
First, distribute the 6 to both x and 7, which gives 6x + 42 = 2.
Next, to isolate the variable term (6x), you would subtract 42 from both sides of the equation, resulting in 6x = 2 - 42, which simplifies to 6x = -40.
Finally, to find the value of x, divide both sides by 6, giving x = -40 / 6, which simplifies to x = -20 / 3 or approximately x = -6.67.
one of four sections formed by the intersection of the x axis and y axis on a cartesian coordinate plane
Answer:
Quadrant
Step-by-step explanation:
Amy makes the following statement:
"There is a 60% chance of snow tomorrow and a 10% chance I will be late for school."
What is the probability that it will snow and Amy will be late for school?
3%
6%
50%
70%
The probability that it will snow and Amy will be late for school is found by multiplying the individual probabilities of each event, which are 60% and 10% respectively, resulting in 6%.
The probability that both events (it snowing and Amy being late for school) will occur is found by multiplying the probabilities of each independent event. As Amy states, there is a 60% chance of snow (which can be expressed as a probability of 0.60) and a 10% chance she will be late for school (expressed as a probability of 0.10). To find the probability that both events happen, we calculate:
Probability(snow and late) = Probability(snow) × Probability(late)
Probability(snow and late) = 0.60 × 0.10 = 0.06
Therefore, the probability that it will snow tomorrow and Amy will be late for school is 6%.
The table shows the depth of a submarine over a 2 hour period. Did the sub go up or down?By how much?
Mrs. Carmen made $250 for a 20-hour work week. Last week she began making 7% more. How much does she make now?
how much longer is a 1-inch button than a 3/8-inch button?
we know that
The button has the shape of a circle
the circumference of a circle is equal to
[tex]C=\pi D[/tex]
where
D is the diameter of a circle
Step [tex]1[/tex]
Find the circumference of the 1-inch button
In this case we have that the diameter is equal to
[tex]D1=1\ in[/tex]
substitute the value in the formula
[tex]C1=\pi*1= \pi\ in[/tex]
Step [tex]2[/tex]
Find the circumference of the 3/8-inch button
In this case we have that the diameter is equal to
[tex]D2=3/8\ in[/tex]
substitute the value in the formula
[tex]C2=\pi*3/8= 3\pi/8\ in[/tex]
Step [tex]3[/tex]
Find the difference of their circumferences
[tex]C1-C2=\pi-3\pi/8=5\pi/8\ in[/tex]
therefore
the answer is
[tex]5\pi/8\ in[/tex]
solve the equation
5/13t = -9
5/13t = -9
Isolate the t. Multiply 13/5 to both sides
5/13t(13/5) = -9(13/5)
t = -9(13/5)
t = -117/5
Simplify.
t = -23.4
t = 23.4 is your answer
hope this helps
What is the equation of the graphed line?
Hint: Determine the slope of the line.
y = / x
For the past three months, Grace has been using her cellphone for 43 minutes, 62 minutes, and 57 minutes. How many minutes would she have to use her cellphone this month for the average usage over 4 months to be 55 minutes? Plz help thxs
average for 4 months total needs to equal 55*4 = 220 minutes
43 + 62 + 57 = 162
220-162 = 58
58 minutes
Point Z is equidistant from the vertices of ΔTUV. Which must be true
Find the value of k if it is known that the graph of y=kx goes through:
A(4, −80)
Answer:
k = ____
Graph is a representation of data by using the vertices and edges to convert the data in easily understandable form. Graph contains two axis, a vertical axis and a horizontal axis. These axis are also denoted as x axis and y axis.
In the given question we have to find the value of k using the points of graph on x axis and y axis.
Given
The graph passes through [tex]\rm\:A (4, -80)[/tex]
Value of [tex]\rm\;x= 4[/tex]
Value of [tex]\rm y=-80[/tex]
CalculationThe value of k can be determined by the graphical intersection of the points on x axis and y axis. By putting the value of x and y in the given equation we got:
[tex]\begin{aligned}\rm\;y&=kx\\\\k(4)&=-80\\\\k&=\dfrac{-80}{4} \\\\k&=-20\end[/tex]
Therefore by putting the values of x and y we found that the value of [tex]\rm\:k=-20[/tex]
Learn more about graphs here:
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a large number is 5 more than twice a smaller number. their sum is 80. find the numbers
How to say 4.110 in words
Factor out the coefficient of the variable 1/2d + 6
Helppp me understand plssss
the triangles shown below must be congruent. right awnsers only please.
The line that passes through the point (4,9) and is parallel to y=3/4x+1
How many peptide bonds are present in a polypeptide that contains 45 amino acids?
A peptide bond forms between two amino acids by a dehydration synthesis reaction. The number of peptide bonds in a polypeptide is always one less than the total number of amino acids. Therefore, in a polypeptide with 45 amino acids, there would be 44 peptide bonds.
Explanation:A peptide bond is a chemical bond that forms between two amino acids when a carboxyl group of one amino acid reacts with the amino group of the other amino acid, releasing a molecule of water. This is a dehydration synthesis reaction, and it is how amino acids are linked together to form a polypeptide.
In a polypeptide chain, the number of peptide bonds present is always one less than the total number of amino acids. This is because each amino acid has one peptide bond with the next amino acid in the chain, except the last one. Hence, for 45 amino acids, there would be 44 peptide bonds.
Learn more about Peptide Bonds here:https://brainly.com/question/32355776
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-7(k+9)=9(k-5)-14k I need help with this can someone help me
Is 170 1/10 of 17? True it faulse
f(x)=2.8x-12 g(x)=5.8x+9
Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.
If Roni and Allie work together to mow the field, what part of the field would Roni mow?
Answer:
0.71
Step-by-step explanation:
Make a table of ordered pairs for the equation.
y=−1/3x+1
Then plot two points to graph the equation.
We want to make a table of ordered pairs for the given equation, and then graph two of these points to graph the equation.
We have the equation:
y = (-1/3)*x + 1
We can make the table:
[tex]\left[\begin{array}{ccc}x&y\\-1&\\0&\\1&\\3&\end{array}\right][/tex]
To complete the table, we just need to evaluate the given equation in these x-values. We will get:
y(-1) = (-1/3)*(-1) + 1 = 1/3 + 1 = 4/3
y(0) = (-1/3)*0 + 1 = 1
y(1) = (-1/3)*1 + 1 = 2/3
y(3) = (-1/3)*3 + 1 = 0
Now we just complete the table with the values that we got:
[tex]\left[\begin{array}{ccc}x&y\\-1&4/3\\0&1\\1&2/3\\3&0\end{array}\right][/tex]
Now to graph the equation, we can graph two of these points, for simplicity I will graph (0, 1) and (3, 0).
Once the points are graphed, we just need to draw a line that connects them. The graph can be seen below.
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