Question

How do I do this word problem?

Your math instructor tells you that next week's test is worth 100 points and contains 38 problems. Each problem is worth either 5 points or 2 points. Write two linear equations based upon this information and solve the system. How many questions of each value are on the test?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Algebra

Equations and In-equations

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: 6 of 30 (4 complete This Question: 1 pt Without graphing, determine whether the equation has a graph...

A: The equation is given as  

Q: Use the tables to evaluate: a) (Ug)(-1) b) (f o g)00) e) g-0) 7) x-1 0 1 2 g(x) 2 10 1 x-1 0 1 2

A: Calculation:a)Compute the value of (fg)(-1) as follows.(fg)(-1) = f(-1) × g(-1)                     ...

Q: Condense the expression to the logarithm of a single quantity (a) ln2+ln x

A: The given expression is,

Q: Evaluate the expression without using a calculator. log5( log232 log 5 ( log 232) Enter your answer ...

A: Given expression is, 

Q: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain...

A: First we use the definition of logarithm to get rid of log. 

Q: graph the parabola y=(x-5)2-2

A: Consider the given equation

Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.4 meg...

A: Given:The size of the standard version is 2.4 megabytes (MB). The size of the high-quality version i...

Q: Function g is related to the parent function. Identify the parent function  f. ​ g(x)=4-[[x]] a. Con...

A: Consider the given function:

Q: x2-5x+6=0. find the value of x

A: Obtain the value of x as follows.

Q: Solve and graph the solution on a number line

A: We are given an inequality as 

Q: Divide   −4x2−2x+14    by   2x+3 Write your answer in the form:   −4x2−2x+14=(2x+3)×q(x)+r(x)    −4x...

A: Click to see the answer

Q: What is the inverse equation for (x+2) over x? x+2 x

A: Given information:The given function is  

Q: Janet​, an experienced shipping​ clerk, can fill a certain order in 12 hours. Bill​, a new​ clerk, n...

A: Click to see the answer

Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =...

Q: Question H An athlete whose event is the shot put releases a shot. When the shot whose path is shown...

A: Given infromation:An athlete whose event is the shot put release a shot. When the shot whose path is...

Q: 200 divided by 900 multiply by 100 written as a percentage without a fraction

A: Given statement:200 divided by 900 multiply by 100

Q: (5y-2)2+6=22

A: Given information:The given equation is (5y-2)^2+6=22

Q: Evaluate the piecewise function at the given values of the independent variable. 2x+5 if x <0 f(x) 3...

A: -3&lt;0 so we will use f(x)=2x+5 to find f(-3)Answer(a): f(-3) =-1 

Q: g(x) f(x) 1 The functions f and g are defined by the following tables. Use the tables to evaluate th...

A: We need to find the value of [f inverse g (10)].

Q: + Gwhat is amplitude of a wave Go X B Lesson 17 Homework 1 College X - https://go.view.usg.edu/d2l/l...

A: Consider the equation that represents the magnitude, M of an earthquake:

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) =2x"-11x +4 has a real: zero bet...

A: We first have to find f(-2).

Q: Chemistry: How much acetic acid is in a 15-liter container of acetic acid and water that is marked ...

A: It is given that, the container contains 15-liters of solution and the given solution contain 60% of...

Q: # 90 and #91

A: 90. Solve a formula for a specific variable.

Q: (X) 16 (D) 16 (E) 256 26. The sequence A is defined by A 100 terms in sequence A? A +2 for each inte...

A: Given, A_1=45 and An=A_(n-1)+2. Using n=2,3,4,.. in this expression we get: A_2=47,A_3=49,A_4=51,......

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 10x2 gx)= $2 5x+8 Sele...

A: This graph has horizontal asymptote because the degree of numerator and denominator are same.

Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: Simplify the expression 4 (10 n to the power 2 - 2) -5 (8 n to the power 2 + 4)

A: The given expression is

Q: Write a linear combination that shows possible combinations of p and nthat can be used to purchase t...

A: It is given that, the total amount used to purchase candy is $0.96.Also,

Q: Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.

A: The expression is given by,

Q: Suppose that the local sales tax rate is 6% and you purchase a car for $29,100. a. How much tax is p...

A: GivenThe sales tax is 6% of the price of the car.The price of the car is $29,100.

Q: Find the quadratic function y=ax+bx+ c whose graph passes through the given points (3,29), (2,-26), ...

A: We have been given three ordered points and we need to find a quadratic function passing through tho...

Q: Find the domain of each of the functions below. s(y) = 3y/ y +5

A: In this question possible values of y are domain. Denominator can't be equal to 0 in a function. 

Q: A sample of 125 light bulbs contained 3 defective bulbs. How many defective bulbs would you expect i...

A: To calculate the number defective bulbs in the batch of 3000 light bulbs. A sample contains 125 ligh...

Q: Graph the solution to the following inequality on the number line. x(x-5)&lt;=0

A: To graph the solution of the inequality x(x-5)&lt;0 on the number line.

Q: Write an equation (slope-intercept form) of the line L satisfying the given conditions: 1.) L passes...

A: 1)The slope of line ax+by=c is -a/b, using this we can calculate the slope of given line m1 which is...

Q: Evaluate. (8^2-2^5)/(24/6)+3^2

A: To calculate the value of the provided expression (8^2-2^5)/ (24/6) +3^2. First simplify the bracket...

Q: Graph functions f and g in the same rectangular coordinate system. Graph and give the equations of a...

A: Graphed them using graphing calculator. Red line is y=3^x and blue line is y=(1/2)*(3^x)

Q: For each equation, determine whether it represents a direct variation, an inverse variation, or neit...

A: The given equations are 5xy = 20 and 2y = 5x.

Q: The following equation is given. x3-3x-4x+12=0 X a. List all rational roots that are possible accord...

A: a. Find the possible rational roots.

Q: Use the given function to complete parts (a) through (e) below. fox)-x-9x FX a) Use the Leading Coef...

A: Since the option B’s choices are not visible, I have found only the x-intercepts.

Q: Use the graph of y - f(x) to graph the function g(x)=f(x)-2 Choose the correct graph of g below y fx...

A: Click to see the answer