Answers
The fewest number of miles he can drive each day is option a which is 343.
What is basic division?The mathematical technique used to divide big numbers into more manageable groups or portions in mathematics is called long division. Making a difficulty into manageable, straightforward steps is beneficial. There are remainders, quotients, dividends, and divisors in long divisions. The dividend, which is the big number divided by the divisor in a long division problem, is the problem's large number. The excess amount that cannot be divided is referred to as the residue, and the quotient is the outcome of the division. Compared to multiplication, division is the opposite. When you divide 12 into three equal groups, you get four in each group if three groups of four add up to 12, which they do when you multiply. Determine how many equal groups are created by splitting the population.
Total miles = 1375
Number days = 4
1 day = 1375/4
= 343.75
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Related Questions
What is the gcf of 12 and 86?
Answers
factors of 12: 1, 2, 3, 4, 6, 12
factors of 86: 1, 2, 43, 86
Then, the greatest common factor (gcf) is 2
Quadrilateral WXYZ is a rhombus and m∠XWY=u–44°. What is the value of u?
Answers
It is given that
[tex]\angle XWY=u-44^o,\text{ and }\angle YZW=110^o[/tex]Recall that the adjacent angles are supplementary in a rhombus.
[tex]\angle XWZand\text{ }\angle YZW\text{ are supplementary angles.}[/tex]The sum of supplementary angles is 180 degrees.
[tex]\angle XWZ+\angle YZW=180^o\text{.}[/tex][tex]Substitute\text{ }\angle YZW=110^o,\text{ we get}[/tex][tex]\angle XWZ+110^o=180^o\text{.}[/tex][tex]\angle XWZ=180^o-110^o[/tex][tex]\angle XWZ=70^o[/tex][tex]\angle XWZ=\angle XWY+\angle YWZ[/tex]Recall that the diagonals bisect the angles of the rhombus.
[tex]\angle XWY=\angle YWZ[/tex][tex]\angle XWZ=\angle XWY+\angle XWY[/tex][tex]\angle XWZ=2\angle XWY[/tex][tex]Substitute\text{ }\angle XWZ=70^o\text{ and }\angle XWY=u-44^o,\text{ we get}[/tex][tex]70^o=2(u-44^0)[/tex][tex]\frac{70^o}{2}=u-44^0[/tex][tex]35^o=u-44^0[/tex][tex]35^o+44^o=u[/tex][tex]u=79^o[/tex]
Hence the value of u=79 degrees.
Classify the symmetry of the function shown on the graph below. A) cannot be determined from the graph B) evenC) neither D) odd
Answers
The graph of an even function is symmetrical around the x-axis and the graph of an odd function is symmetrical around the origin.
The graph given does not fulfil neither of this conditions, hence we conclude that the function is neither even nor odd; therefore, the answer is C
B. Write the equation of the best fit line. C. Write the Correlation Coefficient(r).D. What does the Correlation Coefficient(r) mean for this scenario? is there a relationship between the fat grams and the total calories in fast food?
Answers
B) For the given values the linear equation which best fit is
[tex]y=11.73x+193.85[/tex]where x correspond to the total fat and y to total calories. The slope m is equal to 11.73 and the y-intercept b is equal to 193.85
C) The correlation coefficient r is equal to 0.97.
D) The relationship is almost linear because r=0.97 which is almost 1. The value r=1 means that both variables fit in a line perfectly.
a square box is being cut apart and has a measurement system below. What is the surface area of the box?
Answers
ANSWER
73.5 in²
EXPLANATION
To find the surface area, we have to find the area of one face - one of the squares of the diagram - and then multiply that by 6 - because cubes have 6 faces.
The area of one face is:
[tex]A_{\text{face}}=3.5^2in^2=12.25in^2[/tex]The surface area of the box is:
[tex]\begin{gathered} S_{}=6A_{\text{face}} \\ S=6\cdot12.25in^2^{} \\ S=73.5in^2 \end{gathered}[/tex]ANSWER PLEASE. FIRST ANSWER WILL BE BRAILIEST!!! DUE TODAY PLEASE HELP!!! WORTH 25 points!!!
Answers
The measure of angle C is given as follows:
<C = 80º.
Measure of angle CSegments AD and BE are parallel, hence the angles A and B are congruent, that is, they have the same measure:
<A = <B.
Angle ABE is of 50º, hence the measures of the congruent angles A and B are given as follows:
<A = <B = 50º.
The sum of the measures of the internal angles of a triangle is of 180º, hence the following relation from triangle ABC is established.
<A + <B + <C = 180º.
The measures of angles A and B were already found, hence we can solve for the measure of angle C with the above equation as follows:
<A + <B + <C = 180º.
50 + 50 + <C = 180
<C = 180 - 100
<C = 80º.
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All of the machines are kept cool by circulating cold water through them. The water makes 1 complete cycle through a 30 foot long tube every 12 seconds. Correctly complete the statement about the distance traveled by the water in 3 minutes and number of complete cycles the water makes in 3 minutes
Fill in the blanks to complete the sentence
The water travels ______ feet and completes _____ cycles in 3 minutes
Answers
6. Sarah made a down payment of $2,000 on a car and pays $210 a month.a. Model this situation with an equationb. Create a table with 5 unique points that represents this situationC. If the car costs $17,750, how long will it take for her to pay it off?
Answers
what is 288 divided by 16
Answers
Answer:
18
Step-by-step explanation:
16x18=288
The solution is, Yes, because the last digit is 8, which is divisible by 4.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
288 divisible by 16
i.e. 288/16 = 18
so, it is divisible.
now, we know that,
because the last digit is 8, which is divisible by 4.
Hence, The solution is, Yes, because the last digit is 8, which is divisible by 4.
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Identify if the statement is consistent or inconsistent. If the system is consistent, identify wether the equations are dependent or independent.
Answers
The solution of the system is: (9, -6)
If a system has at least one solution, it is said to be consistent.
If a consistent system has exactly one solution, it is independent.
Then, the system is consistent and the equations are independent.
Below are the times (in days) it takes for a sample of 5 customers from Tony's computer store to pay their invoices.
Answers
In this problem, we have the following data sample:
[tex]32,37,24,22,20.[/tex]We must compute the standard deviation of this data sample.
1) First, we compute the mean value which is given by the following formula:
[tex]\bar{x}=\frac{\sum^n_{i\mathop=1}x_i}{n}=\frac{32+37+24+22+20}{5}=\frac{135}{5}=27.[/tex]2) Now, we compute the standard deviation using the following formula:
[tex]\sigma=\sqrt[]{\frac{\sum^n_{i\mathop{=}1}(x_i-\bar{x})^2}{n-1}}=\sqrt[]{\frac{208}{5-1}}\cong7.21.[/tex]Answer
The standard deviation is 7.21.
1.Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. 90 mg wereused in a procedure. Write an equation that can be used to determine how much ofthe isotope is left after x number of half-lives.2. how much would be left after 70 days ?
Answers
2) 5.625 mg will be left
Explanation:1) Half-life = 17.5 days
initial amount of Arsenic-74 = 90 mg
To get the equation, we will use the equation of half-life:
[tex]\begin{gathered} N_t\text{ = N}_0(\frac{1}{2})^{\frac{t}{t_{\frac{1}{2}}}} \\ where\text{ N}_t\text{ = amount remaining} \\ N_0\text{ = initial amount} \\ t_{\frac{1}{2}\text{ }}\text{ = half-life} \end{gathered}[/tex][tex]N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}[/tex]2) we need to find the remaining amount of Arsenic-74 after 70 days
t = 70
[tex]\begin{gathered} N_t=\text{ 90\lparen}\frac{1}{2})^{\frac{70}{17.5}} \\ N_t\text{ = 5.625 mg} \end{gathered}[/tex]So after 70 days, 5.625 mg will be left
A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used to represent the data?
The set must have a constant additive rate of change.
The set must have a constant multiplicative rate of change.
The values in the set must be positive.
The values in the set must be increasing.
Answers
The correct answer is: The set must have a constant additive rate of change.
Let Y be a data set containing an independent and dependent variable.
The standard form of the equation of a line is given by y = mx + b, where x is an independent variable and y is a dependent variable, m is the slope, and b is the y-intercept.
Now, when m = 1,
y = x + c
When m = 2,
y = 2x + c = x + x + c
When m = 3,
y = 3x + c = x + x + x + c
As a result, the set must change at a constant additive rate.In order to avoid the function changing into an exponential function, which is not linear, the set must not have a constant multiplicative rate of change.As the set of real numbers is the domain of the linear function, the values in the set may be positive or negative.And, the values in the set must be rising.Learn more about data set here:
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How many feet are represented by a 4-in. line if it is drawn to ascale of 1/2 in. = 1 ft?
Answers
When working with scales, we can find the measures by using the rule of three.
From the scale, we know that 1/2 in corresponds to 1 ft, so, the rule of three is:
1/2 in --- 1ft
4 in --- x
Where "x" is the size of the line in feet repreented by the 4 in line in the drawing.
So, we cross multiply to get the equation:
[tex]\begin{gathered} \frac{1}{2}x=4\cdot1 \\ x=2\cdot4 \\ x=8 \end{gathered}[/tex]Thus, this lines represents a size of 8 ft.
the shorter leg of a right triangle is 7 m shorter than the longer leg. the hypotenuse is 7 m longer than the longer leg. find the side lengths of the triangle. length of the shorter leg:length of the longer leg:length of the hypotenuse:
Answers
Answer:
Explanation:
Let the length of the longer leg = x m
The shorter leg of a right triangle is 7m shorter than the longer leg. therefore:
Length of the shorter leg = (x-7) m
The hypotenuse is 7m longer than the longer leg.
Length of the hypotenuse = (x+7) m
We solve for x using Pythagoras Theorem.
[tex]\text{Hypotenuse}^2=\text{Opposite}^2+\text{Adjacent}^2^{}[/tex]This gives us:
[tex]\begin{gathered} (x+7)^2=x^2+(x-7)^2 \\ (x+7)(x+7)=x^2+(x-7)(x-7) \\ x^2+14x+49=x^2+x^2-14x+49 \\ 2x^2-x^2-14x-14x-49+49=0 \\ x^2-28x=0 \\ x(x-28)=0 \\ x-28=0\text{ or x=0} \\ x=28\text{ meters} \end{gathered}[/tex]Therefore:
• Length of the shorter leg: 28-7 = 21 meters
,• Length of the longer leg: 28 meters
,• Length of the hypotenuse: 28+7 = 35 meters
What is the slope of a line parallel to the line whose equation is 3x-18y=-3783x−18y=−378. Fully simplify your answer.
Answers
ANSWER
Slope is 1/6
STEP-BY-STEP EXPLANATION
What to find? The slope of the line parallel to a given equation
Given equation
[tex]3x\text{ - 18y = -378}[/tex]The slope-intercept form of an equation is given below as
[tex]y\text{ = mx + b}[/tex]Where m is the slope of the line
y is the intercept of the y - axis
The next thing is to rewrite the above equation in the format of the slope-intercept equation
[tex]\begin{gathered} 3x\text{ - 18y = -378} \\ \text{ Isolate -18y by substracting 3x from both sides} \\ 3x\text{ - 3x - 18y = -378 - 3x} \\ -\text{ 18y = -3x - 378} \\ \text{Divide through by -18} \\ \frac{-18y}{-18\text{ }}\text{ = }\frac{-3x}{-18}\text{ - }\frac{378}{-18} \\ y\text{ = }\frac{1}{6}x\text{ + 21} \\ y\text{ = }\frac{1}{6}x\text{ + 21} \\ \text{ Since y = mx + b} \\ m\text{ = slope} \\ \text{Hence,m = }\frac{1}{6} \end{gathered}[/tex]For lines that are parallel to each other, the slope remains the same
[tex]m1\text{ = m2}[/tex]Therefore, the slope of the line parallel whose equation is y = 3x - 18y = -378 is 1/6
Need help with question 2 related to literal C of question 1
Answers
For the given parabola:
Vertices, foci and asymptotes:
Vertices: (-2, 0) and (2, 0)
Foci: (-5.385, 0) and (5.385, 0)
Asymptotes: y = -(5/2)x and y = (5/2)x
Fundamental rectangle and conjugate axis endpoints:
Endpoints: 5 and -5
Calculate the simple interest earned. Round to the nearest cent.P = $4200, r = 7%, t = 1 year
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The simple interest formula is defined as
[tex]\begin{gathered} I=Prt \\ \text{where} \\ P\text{ is the principal amount} \\ r\text{ is the rate converted to decimal} \\ t\text{ is time in years} \end{gathered}[/tex]Given
P = $4,200
r = 7% → 0.07 (converted to decimal)
t = 1 year
Substitute the following values and we get
[tex]\begin{gathered} I=(4200)(0.07)(1) \\ I=294 \end{gathered}[/tex]Therefore, the simple interest earned is $294.
Hans is a software salesman. His base salary is $1700, and he makes an additional $70 for every copy of History is Fun he sells. Let P represent his total pay (in dollars), and let N represent the number of copies of History is Fun he sells. Write an equation relating P to N. Then use this equation to find his total pay if he sells 26 coples of History Is Fun.
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the equation is:
[tex]P=1700+70N[/tex]so if he sells 26 copies we get that:
[tex]P=1700+26\cdot70=3520[/tex]Salma wants to cover her rectangular patio in cement. The patio measures 6 yd long and 4 yd wide. She knows the area each bag of cement covers, but only in square meters.
Answers
Answer:
Finding the area right? If so, it's 24 m^2
Find -x + 10 subtracted from 0.A. 0B. -x + 10C. x - 10
Answers
GIVEN:
We are given the following expression;
[tex]-x+10[/tex]Required;
To find the value of this expression subtracted from 0.
Step-by-step solution;
To subtract the expression from zero, we re-write as follows;
[tex]\begin{gathered} 0-(-x+10) \\ \end{gathered}[/tex]Note at this point that a negative times a negative results in a positive.
That is,
[tex]\begin{gathered} -\times(-)=+ \\ \\ Also; \\ \\ -\times(+)=- \end{gathered}[/tex]Therefore, we simplify as follows;
[tex]\begin{gathered} 0-(-x+10) \\ \\ =0+x-10 \\ \\ =x-10 \end{gathered}[/tex]Therefore, the correct answer is option C
ANSWER:
[tex]C:x-10[/tex]Find the amount and the present value of an annuity of P540 payable every end ofthe month at 7% compounded monthly for 4 years and 5 months.
Answers
We have to find the present value of a annuity of $540 payable every end of the month at 7% compounded monthly for 4 years and 5 months.
We can express the present value PV as:
[tex]PV=M\cdot\frac{[1-(1+r\/m)^{-n\cdot m}]}{r\/m}[/tex]where M: monthly payment (M = 540), r: annual nominal rate (r = 0.07), m: number of subperiods of compounding per year (m = 12) and n: number of years (n = 4+5/12).
We can replace the variables with its value and calculate PV as:
[tex]\begin{gathered} PV=540\cdot\frac{[1-(1+\frac{0.07}{12})^{-53}]}{\frac{0.07}{12}} \\ PV\approx540\cdot\frac{[1-(1.005833)^{-53}]}{0.005833} \\ PV\approx540\cdot\frac{1-0.7347}{0.005833} \\ PV\approx540\cdot\frac{0.2653}{0.005833} \\ PV\approx540\cdot45.4826 \\ PV\approx24560.60 \end{gathered}[/tex]Answer: The present value of teh annuity is P 24560.60.
Solve 3p + 9q = 18 for q
Answers
Answer:
[tex]q=2-\frac{1}{3}p[/tex]Explanation:
Given the equation;
[tex]3p+9q=18[/tex]We want to make q the subject of formula;
firstly, let's subtract 3p from both sides;
[tex]\begin{gathered} 3p-3p+9q=18-3p \\ 9q=18-3p \end{gathered}[/tex]Then let us divide both sides by the coefficient of q;
[tex]\begin{gathered} \frac{9q}{9}=\frac{18-3p}{9} \\ q=2-\frac{1}{3}p \end{gathered}[/tex]Therefore, making q the subject of formula;
[tex]q=2-\frac{1}{3}p[/tex]In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 459 grams of copper. How many grams of zinc does it contain?
pls im begging u bro.
Answers
The grams of zinc that the jar contains is 108.
What is ratio?It should be noted that ratio simply means the comparison of one thing with another thing.
In this case, the ratio of zinc to copper is 4 to 17 and a jar of the chemical contains 459 grams of copper.
Let the grams of zinc be x. This will be illustrated as:
4/17 = x/459
Cross multiply
17x = 4 × 459
x = (4 × 459) / 17
x = 108
It has 108 zinc.
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What is the distance between a points (3,4) and (-2,-2) (round to the nearest 10th, if necessary) distance between the points (three, four) and (-2, -2) is blank units?
Answers
Answer:
The coordinates given in the question are
[tex]\begin{gathered} (x_1,y_1)\Rightarrow(3,4) \\ (x_2,y_2\Rightarrow(-2,-2) \end{gathered}[/tex]Concept:
The distance between two points of a line is given below as
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]By substituting the values, we will have
[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt[]{(-2-3)^2+(-2-4)^2} \\ d=\sqrt[]{(-5)^2+(-6)^2} \\ d=\sqrt[]{25+36} \\ d=\sqrt[]{61} \\ d=7.8\text{ units} \end{gathered}[/tex]Hence,
The final answer is
[tex]\Rightarrow7.8[/tex]Write the inequality that represents the sentence, "Four less than a number is greater than 49.Choose the correct answer below. A. X+4>49 -B. X-4249C. X-4> 49D. X+4> 49
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Let x be the number
Thus, 4 less than a number means
[tex]x-4[/tex]4 less than a number means is greater than 49 means
[tex]x-4>49[/tex]The answer is x-4>49, option C.
Write
1/10^-3 using a positive exponent.
Answers
1/10⁻³ as a positive exponent is 10³.
How to convert a negative exponent to a positive exponent?
The negative exponent instructs us to rewrite the formula by getting the base's reciprocal and then switching the exponent's sign. A positive exponent indicates that the base should be multiplied by that many. Depending on the question at hand, you must flip an exponent from numerator to denominator or from denominator to numerator in order to change its sign.
Given, the exponent is y = 1/10⁻³
Multiplying both numerator and denominator of y with 10³, we get,
y = 10³/(10⁻³×10³) = 10³/1 = 10³
Therefore, 1/10⁻³ as a positive exponent is 10³.
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Josiah can jog 5/6 mile in 15 min find his average speed in miles per hour
Answers
Answer:
3 1/3 miles per hourStep-by-step explanation:
Given speed:
5/6 mile per 15 minConvert this to mph as follows:
5/6 mile per 15*1/60 h, since 1 min = 1/60 h5/6 mile per 1/4 h, simplify5/6 : 1/4 mile per 1/4 : 1/4 h, divide both sides by 1/45/6 *4 mile per 1 h, multiply10/3 mile per hour, 3 1/3 miles per hour, convert to mixed fractionAnswer:
10/3 miles per hour
Step-by-step explanation:
Given that,
→ 5/6 mile in 15 min
→ 15 min × 4 = 1 hour
Average speed in miles per hour,
→ 5/6 × 4
→ 20/6
→ 10/3 miles per hour
Hence, required answer is 10/3.
ABC is congruent to DEF.
what is the length of AB and what is angle EDF?
Answers
Answer:
10 In the diagram below, DE divides AB and AC proportionally, m∠C = 26°, m∠A = 82°, and DF bisects ∠BDE. The measure of angle DFB is. 1) 36°. 2) 54°. 3) 72°.
Step-by-step explanation:
graph the equation:
y=-6x+12
