26 gallons
1) We can write this information setting up a proportion
miles gallons
120 10
312 x
2) Assuming the pace hasn't changed, then we can consider that as proportional:
120x = 312 * 10
120x= 3120
x = 3120/120
x =26
3) So 26 gallons are going to be needed for those 312 miles.
(a) Approximate the population mean and standard deviation of age for malesMale and female populations of totunder 10 years old are represented by age inthe table below. Completo port(a) through10(Round to two decimal places as needed)
Answer:
Step-by-step explanation:
The population means is an average of a group characteristic. A characteristic is just an item of interest.
[tex]\begin{gathered} \mu=\frac{\sum ^{}_{}x}{N} \\ \mu=\frac{\text{Sum of all the items}}{\text{ Number of items}} \end{gathered}[/tex]Then, for the population mean and standard deviation of the age for males;
Total of population: 266
[tex]undefined[/tex]disconnect me pls c bc
tutor loses connection for 30+
Please help me on the question I don’t get it c) For architects, by what percent did the median earnings increase for those who held a graduate degree compared to those who were recent college graduates? (round to the nearest integer)d) For nurses, by what percent did the median earnings increase for those who held a graduate degree compared to those who were recent college graduates? (round to the nearest integer)
(a) From the graph, the average recent college graduate engineer makes $65000, and the average recent college graduate accountant makes $40000. Therefore, an engineer makes $65000 - $40000 = $25000 more than the accountant.
(b) In marketing, the average graduate degree holder makes approximately $80000 (rounded down to the nearest thousand), and the average recent college graduate makes approximately $35000 (rounded down to the nearest thousand). Therefore, the average graduate degree holder makes $80000 - $35000 = $45000 more than the average recent college graduate
(c) graduate degree holder architect average earning: $75000 (rounded down to the nearest thousand)
average recent college graduate architect average earning: $35000 (rounded down to the nearest thousand)
The percent increase is computed as follows:
[tex]\begin{gathered} \text{percent increase = }\frac{\text{ degr}ee\text{ holder - college graduate}}{\text{college graduate}}\cdot100 \\ \text{percent increase = }\frac{75000-35000}{35000}\cdot100 \\ \text{percent increase }\approx114\text{ \%} \end{gathered}[/tex](d) graduate degree holder nurse average earning: $ 80000 (rounded down to the nearest thousand)
average recent college graduate nurse average earning: $45000 (rounded down to the nearest thousand)
The percent increase is computed as follows:
[tex]\begin{gathered} \text{percent increase = }\frac{\text{ degr}ee\text{ holder - college graduate}}{\text{college graduate}}\cdot100 \\ \text{percent increase = }\frac{80000-45000}{45000}\cdot100 \\ \text{percent increase = 78 \%} \end{gathered}[/tex](e) Comparison between average earning of a degree holder and of a college graduate for each area:
Engineers
Increase = degree holders - college graduate
Increase = 110000 - 65000
Increase = 45000
Nurses
Increase = degree holders - college graduate
Increase = 80000- 45000
Increase = 35000
Finance
Increase = degree holders - college graduate
Increase = 100000 - 45000
Increase = 55000
Accountant
Increase = degree holders - college graduate
Increase = 85000 - 40000
Increase = 45000
Architects
Increase = degree holders - college graduate
Increase = 75000 - 35000
Increase = 40000
Marketing
Increase = degree holders - college graduate
Increase = 80000 - 35000
Increase = 45000
The greatest increase from college graduates to degree holders is in Finance
If each pair of 2 students share one regular size popcorn, how many cups of popcorn will each student get? (1 cup= 14.4in³)
Answer:
4 cups
Explanation:
First, we calculate the volume of the regular size popcorn:
[tex]\begin{gathered} \text{Volume}=5\times3\times8 \\ =120\; in^3 \end{gathered}[/tex]Given that:
[tex]\begin{gathered} \text{14}.4in^3=1\text{ cup} \\ 120in^3=x\text{ cups} \\ \frac{14.4}{1}=\frac{120}{x} \\ 14.4x=120 \\ x=\frac{120}{14.4} \\ x=8.33\text{ cups} \end{gathered}[/tex]Thus, if each pair of 2 students share one regular-size popcorn, each student will get approximately 4 cups.
Two bags of flour have a total weight of834pounds. What could be their individual weights?Select all that apply.A.7pounds and34poundB.314pounds and512poundsC.434pounds and4poundsD.8pounds and14pound
Given:
Two bags have a total weight of 8 3/4 pounds.
What could be their individual weights?
To answer the question, we will select the option that gives a sum of 8 3/4
We will check the options:
A. 7 pounds and 3/4 pounds
The sum = 7 + 3/4 = 7 3/4 pounds
So, option A is wrong
B. 3 1/4 pounds and 5 1/2 pounds
The sum = 3 1/4 + 5 1/2 = 8 3/4
So, option B is correct
C. 4 3/4 pounds and 4 pounds
The sum = 4 3/4 + 4 pounds = 8 3/4 pounds
So, option C is correct
D. 8 pounds and 1/4 pounds
The sum = 8 + 1/4 = 8 1/4
So, option D is wrong
E. 6 pounds and 2 3/4 pounds
The sum = 8 3/4
So, E is correct
The answer will be: B and C and E
A local grocer cut his marketing budget by 54% last year. He spent only $650 on marketing this year and is happy with his decision. How much did the grocer spend on marketing last year? Round your answer to the nearest cent. Do not include units with your answer.
Given that the grocer spent only $650 on marketing this year, you know that this is 54% of his marketing budget last year.
You can rewrite a percent as a Decimal Number by dividing it by 100:
[tex]\frac{54}{100}=0.54[/tex]Let be "x" the amount of money (in dollars) the grocer spent on marketing last year.
Knowing all the data, you can set up the following equation:
[tex]x-0.54x=650[/tex]When you solve for "x", you get:
[tex]0.46x=650[/tex][tex]\begin{gathered} x=\frac{650}{0.46} \\ \\ x\approx1413.04 \end{gathered}[/tex]Hence, the answer is: He spent $1,413.04 .
Find the surface area of a square pyramid:b= 8 m, sh = 12 mSA= perimeter slant height +B (area of the base)2If that does not make sense there is a picture and no links
Take into account that the surface area of the given pyramid is the sum of the four triangular faces. Use the given equation for the surface area:
find 264 + 638 using drawings of place value blocks. please show the work
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
264 + 638
Step 02:
place value blocks
264
+ 638
_______
902
That is the full solution.
21.Find the indicated angle measure to the nearest degree.1613?А.510B. 39С C36549
using trigonometric ratio,
let
the unknown angle = x degrees
[tex]\tan x=\frac{opposite}{\text{adjacent}}[/tex][tex]\begin{gathered} \tan x=\frac{13}{16}^{} \\ x=\tan ^{-1}0.8125 \\ x=39.0938588862 \\ x\approx39^{\circ} \end{gathered}[/tex]Answer the following word problem by setting up an equation and then solving. Type the answer as "first number = " and "consecutive number = The sum of two consecutive numbers is 85, find the numbers.
From the question we're told that the sum of two consecutive numbers is 85,
Let the 1st number by y,
And the consecutive number be y+1
So, the sum of these two numbers will be equal to 85;
[tex]y+(y+1)=85[/tex]Let's go ahead and solve for y in the above equation;
[tex]\begin{gathered} 2y+1=85 \\ 2y=84 \\ y=42 \end{gathered}[/tex]So the first number is 42.
Let's find the consecutive number;
[tex]y+1=42+1=43[/tex]Therefore, the "first number = 42" and "consecutive number = 43"
The regular price of a shirts is $12.00.If Jason bought the shirt for 45% off the regular price,how much did he save? A. $4.50 B. $5.40 C. $5.60 D.$6.60
First, we need to find 45% of $12
45% of $12 = 45/100 x12 = $5.4
He bought the shirt : $12 - $5.4 = $6.6
Therefore he saved $5.40
which of the venn diagrams represents"not x"
The complement of a set x is everything in the in x by not 4 sets is denoted by: x'
The diagram contains a rectangle labeled with italic capital y. There is an oval inside the rectangle labeled with an pituitary capital X The region outside the oval but Inside the rectangle is shaded.
The outside of that figure is "not = x" or the logical nation of x.
A Venn diagram consists of two or three intersecting circles each representing a class labeled with a capital letter. Lowercase x and shading is used to indicate the presence or absence of some member of a particular class.
To solve the three-circle Venn diagram first enter the number of elements common to all three file sets. Then enter the remaining number of items in the Overlap area for each statement pair. Enter the number of remaining items in each set. Finally, find missing values using all known sums.
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Simplify 5(3p - 2) + 2(p +4)
Here, we want to simplify the expression
To do this, we shall use the term outside the bracket to multiply the terms inside the brackets before we proceed to add them together
We have this as follows;
[tex]\begin{gathered} (5\times3p)-(5\times2)\text{ + (2}\times p_{})\text{ + (2}\times4) \\ =\text{ 15p - 10 + 2p + 8} \\ =\text{ 15p}+2p-10+8 \\ =\text{ 17p -2} \end{gathered}[/tex]PLEASE HELP. FUNCTIONS AND RELATIONS. The height of a model rocket, h(t), is a function of the time since it was launched, t. What is the domain of h(t)?
Recall that the domain is all the values of the graph from left to right.
From the given graph we get that its domain consists of all values greater than or equal to 0 and less than or equal to 42.
Then the domain of the given function in algebraic notation is:
[tex]0\leq t\leq42.[/tex]Answer: Option D.
-3|2x+1|<4 how is this solved
Answer:
True for all x
Step-by-step explanation:
Multiply by -1. This reverses the inequality.[tex]-3\left|2x+1\right| < 4\\\left(-3\left|2x+1\right|\right)\left(-1\right) > 4\left(-1\right)[/tex]
Remember: Negative * Positive = NegativeRemember: Negative * Negative = Positive[tex]3\left|2x+1\right| > -4:\:Solve\\4\times -1 = -4\\\left(-3|2x+1|\right)\left(-1\right)\\\left(-3\times -1\right)\\\left(-3|2x+1|)[/tex]
Divide by 3[tex]=\frac{3\left|2x+1\right|}{3} > \frac{-4}{3}[/tex]
___________
[tex]\frac{3\left|2x+1\right|}{3}\\\frac{3}{3}\\= \frac{1}{1}[/tex]
___________
[tex]= \frac{1}{1} > \frac{-4}{3}[/tex]
___________
[tex]-\frac{4}{3}\\= -\frac{4}{3}[/tex]
Because absolute values are greater than or equal to 0, the problem will be classified as "True" for any value of x no matter what.Hope this helps.
I need help please I can’t figure this out and it’s my last question
QUAD magnified 4 times gives Q'U'A'D'
D(7,0)
Q(0,0)
Then center of rectangle is at (D -Q)/2= 3.5
Area of rectangle QUAD= (7-0)•(5-0) = 35
4times area QUAD = 4x35= 140
Then
Q'= (0,0)
Q'U'= 4xQU = 4x5 = 20
I need help with math
We have the following problem:
Using the kinematic equation, we know that for movements with constant acceleration the position is
[tex]h(t)=h_0+v_0t-\frac{gt^2}{2}[/tex]I already wrote the variables convenient for our problem, where
t = time (s)
h₀= initial height (m)
v₀ = initial velocity (m/s)
g = gravity acceleration (m/s²)
h = height after t seconds
We also know that
t = independent variable
h₀= 10m
v₀ = 56 m/s
g ≅ 10 m/s²
h = dependent variable
Therefore our quadratic will be
[tex]\begin{gathered} h(t)=10+56t-\frac{10t^2}{2} \\ \\ h(t)=10+56t-5t^2 \end{gathered}[/tex]Now we can answer the question in fact.
a)
The rocket will hit the ground when the height is equal to zero, hence, h(t) = 0. In fact, we are looking for the zeros of the quadratic
[tex]\begin{gathered} 10+56t-5t^2=0 \\ \\ t=\frac{-56\pm\sqrt{56^2-4\cdot(-5)\cdot(10)}}{2\cdot(-5)} \\ \\ t=\frac{-56\pm\sqrt{3136+200}}{-10} \\ \\ t=\frac{56\pm\sqrt{3336}}{10} \\ \\ t=11.38\text{ s or }-0.18\text{ s} \end{gathered}[/tex]See that we have one negative zero, but we will ignore that because it's physically impossible, therefore the rocker will reach the ground after 11.38 seconds
b)
To find the maximum height we must find the max value of the quadratic, we know that the vertex of a quadratic is its max/min, also, we can write it as
[tex]\begin{gathered} y_V=-\frac{\Delta}{4a} \\ \\ x_V=-\frac{b}{2a} \end{gathered}[/tex]Where
[tex](x_V,y_V)[/tex]Is the vertex. Here, we want to find the y coordinate, because y here is the height, therefore
[tex]\begin{gathered} \max h=-\frac{\Delta}{4a} \\ \\ \operatorname{\max}h=-\frac{3336}{4\cdot(-5)} \\ \\ \operatorname{\max}h=\frac{3336}{20} \\ \\ \operatorname{\max}h=166.8\text{ m} \end{gathered}[/tex]The max height of the rocket is 166.8m
c)
Now we have a similar problem, it's also the vertex but now the coordinate x, that here, represents the time, then
[tex]\begin{gathered} t_{\max}=\frac{-b}{2a} \\ \\ t_{\operatorname{\max}}=\frac{-56}{2\cdot(-5)} \\ \\ t_{\operatorname{\max}}=\frac{56}{10} \\ \\ t_{\operatorname{\max}}=5.6\text{ s} \end{gathered}[/tex]The rocket will reach the maximum height after 5.6 seconds.
A colony of bacteria is growing exponentially according to the function below, where t is in hours. What will the approximate number of bacteria be after 7 hours?A.270B.1082C.635,818D.45,674
we have the exponential function
[tex]B(t)=4e^{0.8t}[/tex]For t=7 hours
substitute
[tex]\begin{gathered} B(t)=4e^{0.8*7} \\ \\ B(t)=1,082\text{ bacteria} \end{gathered}[/tex]The answer is option Bat a baseball game a vender sold combined total of 103 sodas and hotdogs . The numbers of sodas was sold was 57 more than the number of hot dogs sold . Find the number sodas sold and the number of hot dog sold
Number of sodas sold = 80
Number of hot dogs sold = 23
Explanation:Let th number of sodas be xs
Let the number of hot dogs be h
The vendor sold a combined total of 103 sodas and hot dogs
s + h = 103............(1)
The nmber of soda sold was 57 more tha n the number of hot dogs sold
s = h + 57........()
Subtitute equation (2) into equation (1)
h + 57 + h = 103
2h = 103 - 57
2h = 46
h = 46/2
h = 23
Substitute h = 23 into equation (2)
s = 23 + 57
s = 80
Number of sodas sold = 80
Number of hot dogs sold = 23
write a polynomial function of least degree with integral coefficients that had the given zeros. -3,3,-2
x³ + 2x² - 9x - 18 is the polynomial function of least degree with integral coefficients that had the zeros -3 , 3 , -2.
Given, the zeros of a polynomial be,
-3 , 3 and -2
As, the polynomial has 3 zeros then the degree of the polynomial is also be , 3.
Let the polynomial be,
p(x) = (x - (-3))(x - 3)(x - (-2))
p(x) = (x + 3)(x - 3)(x + 2)
On multiplying the factors, we get
p(x) = (x² - 3²)(x + 2)
p(x) = (x² - 9)(x + 2)
p(x) = (x³ - 9x + 2x² - 18)
p(x) = x³ + 2x² - 9x - 18
So, x³ + 2x² - 9x - 18 is the polynomial function of least degree with integral coefficients that had the zeros -3 , 3 , -2.
Hence, x³ + 2x² - 9x - 18 is the polynomial function of least degree with integral coefficients that had the zeros -3 , 3 , -2.
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11) Tell whether (3, 20) is a solution of y = 4x +8 A) Yes B) No
y = 4x + 8
To tell if (3, 20) is a solution, we will substitute the value of x = 3 and y= 20
into the equation to see if the left-hand side equals the right-hand side of the equation
So, upon substituting
20 = 4 x 3 + 8
20 = 12 + 8
20 = 20
Since the left-hand side of the equa
they are 45 baseball points there's 14 basketball points football 21 points soccer 20 points what is the ratio of soccer to baseball and simplest form?
Given:
Number of baseball points = 45 points
Number of basketball points = 14 points
Number of football points = 21 points
number of soccer points = 20 points.
To find the ratio of soccer to baseball points, we have:
soccer : baseball = 20 : 45
in simplest form, divide both sides by 5 which is the Greatest Common Factor (GCF) of both numbers.
Thus, we have:
20÷5 : 45÷5 = 4:9
Therefore, the ratio of soccer to baseball in simplest form is = 4 : 9
ANSWER:
4 : 9
Given:• VU is tangent to Circle Q• UV = 20• UT = 8U2000TSFind the length of the radius of the circle.6O 1202142
To solve this question and find the radius of the circle, we will use the s
I am trying to graph a vertical shift for a greatest integer function
ANSWER
EXPLANATION
The graph of the parent function f(x) = [x] is
The function has the value of x until the next integer. So we have:
f(x) = 0 when x = 0 until x = 1, and then it changes to f(x) = 1. This is for all values of x. We can say that the function "jumps" on each integer and then keeps its value.
If we do a vertical shift of 2 units we have to add 2 to each value of the parent function. This way the shifted function is f(x) = 2 when x = 0 until x = 1, and then it jumps to f(x) = 3:
Find the standard deviation of x for the given points: {(-2,-1), (1,1), (3,2)}.Round your solution to three decinal places.
The x coordinates of the points are -2, 1 and 3
To find standard deviation, take the average or mean of thegiven numbers.
[tex]\begin{gathered} \text{Let n be the total count of numbers} \\ Mean,x_i=\frac{\text{Sum of numbers}}{n} \\ =\frac{-2+1+3}{3}=\frac{2}{3} \end{gathered}[/tex]Now subtract the mean from eah number and take their squares.
[tex]undefined[/tex]The original cost of a laptop computer was x dollars. The expression 0.36x represents the value of the laptop today. choose two expressions that also represent the value of the laptop today. A. 1 - 0.64xB. x - 0.36xC. x - 0.64xD. x (1 - 0.36) E. x (1 - 0.64)
The initial price of the computer was $X.
The current price is $0.36X
Thus, the current value is X-0.36X.
By taking the common factor, this can also be expressed as:
X(1-0.36).
Hence, the two(2) expressions that represent the value of the laptop today are options B and option D.
Jason pays a $100 installation fee and a $40 monthly service charge for his telephone . Which equation shows the amount that Jason pays for x months of telephone service ? A. y= 40 + 100x B. y = 100 + 40xC . y = 100 - 40x
Given
x: months of telephone service
$100 installation fee (one time)
$40 monthly fee
Equation
[tex]y=100+40x[/tex]
Where 100 is the initial cost and 40 is the monthly cost
First to answer WILL get BRAINLIEST!
which equation is represented by this modal?
1/4 x 1/2 =1/8
1/3 x 1/2 =1/6
1/4 x 1/6 = 1/24
1/4 x 1/3 = 1/12
Answer:
1/4 x 1/2 =1/8
Step-by-step explanation:
The circle is split into four parts (1/4)
Then one of the parts is split in half (1/2)
So the equation represented by the model is 1/4 x 1/2 = 1/8
Answer:
1/4x1/2=1/8
Step-by-step explanation:
this is because it has 4 pieces and then it shows 1/2 of a 1/4 piece
fill in the blanks.6x20=6x2x_____5x100=______x10x10
ANSWER
1. 10
2. 5
EXPLANATION
We want to expand the expressions given:
1. 6 x 20 = 6 x 2 x ____
To do this, we have to divide 20 by 2, because 20 was expanded to give 2 x __.
20 divided by 2 is 10, so the answer is:
6 x 20 = 6 x 2 x 10
2. 5 x 100 = ___ x 10 x 10
This is straightforward, since 10 x 10 is 100.
The answer is:
5 x 100 = 5 x 10 x 10
Hailey's hope his dad move their old television which weighed 81 lb to the basement then he helped set up their new 32-pound television in the family room how much more did the old television weigh then the new one
To find the answer to this question, find the difference between the old television weight and the new television weight. Substract 32 to 81:
[tex]81-32=49[/tex]The old television weighs 49 pounds more than the new one.