Mikayla withdraws $20 on 4 different days during a week. Find the total change in her account balance after the withdrawals.
20 times 4 = 80
so the change in her account would be negative 80 dollars
The change in her account after 4 withdrawals of $20 the change in her account will be $(D - 80)
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given that Mikayla withdraws $20 on 4 different days during a week.
Assuming she had $D before she had made any withdrawals.
∴ The situation can be represented numerically as,
(D - 20 - 20 - 20 - 20) dollars.
= (D - 80) dollars.
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Two of the sides of an isosceles triangle have lengths of 10 cm and 4 cm. what is the length of the base?
An isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure.
The unequal side is the base of the triangle.
The length of the base of the isosceles triangle is
10 cm or 4 cm.
What is an isosceles triangle?An isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure.
The unequal side is the base of the triangle.
We have,
Two sides of an isosceles triangle have lengths:
= 10 cm and 4 cm
The unequal side of the isosceles triangle is the base and the other two sides have to be equal.
We can have two cases-
Case 1.
If the equal two sides are 10 cm.
Base = 4 cm
Case 2.
If the equal two sides are 4 cm.
Base = 10 cm.
Thus the length of the base of the isosceles triangle is
10 cm or 4 cm.
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350 kilometers in 5 hours in unit rate
Answer:
70 kilometers per hour.
Step-by-step explanation:
Remember that unit rate is the direct correlation between two different units, but the numerator should be 1, this means that for example if you can cook 20 muffins in 4 ovens, you have to calculate how many muffins can you cook in one oven, to calculate this problem you have to divide the kilometers by the hours you have:
350 kilometers/ 5 hours= 70 km/hr.
So that would be the answer.
Debbie's city took a survey about a plan for a new park. The city surveyed 600 people. 60% of the people surveyed liked the plan for the park. How many people liked the plan?
Qual é a diferença entre a população de Toledo e Umuarama?
Toledo - 119 207
Umuarama - 100 716
What is a 6% increase to $62,900
6% = 0.06
multiply:
62900*0.06 = 3,774 ( Would be the amount of increase)
add:
62900 + 3774 = 66,674 (would be the new total)
can someone help with my homework
NEED HELP !!!!!
put a check mark for the correct term (rational irrational )
61 pie
42
75.671523
101
6/5
what is the cost of painting the walls and ceiling of a room with walls 30 foot by 25 foot by 1st foot with paint that covers at $9.50 per square yard, allowing for 1275 square feet for doors, windows, and baseboards?
In Ms. Hendricks class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form.
the sum of 5 consecutive integers is 110. what is the fourth number in the sequence
What is the reciprocal of 6 4/5?
A.) 5/34
B.) 29/5
C.) 34/5
D.) 15/5
Answer:
A
Step-by-step explanation:
The denominator in the original question is 5.
Therefore the answer must have 5 in the numerator. The answer can only be A.
6 4/5 = (30 + 4) / 5 = 34/5 This is the original fraction. The upside down of the original fraction is the reciprocal. Upside down of 34/5 is 5/34. You can come to this conclusion by doing this.
The formal definition of a reciprocal is 1/a where a is a fraction.
In this case a = 34/5. The reciprocal is 1/a = 1 // 34/5. You don't change anything by making it 1/1 // 34/5
1/1 // (34/5) Invert and multiply the bottom.
1/1 * 5/34 = 5/34
If a truck hauls 5 loads per week how many loads would it haul in a 1 year period
1 year = 52 weeks
52 * 5 = 260 loads
Cereal costs $2.79 for 16.4 ounces. At this rate how much does 25 ounces of cereal cost?
Bottles of water sell for $1.50 each. Graph the relationship between the number of bottles of water sold and the total cost.
draw a graph with number of bottles on the x axis ( and number it 1 through 10 )
put price on the y axis and label it in increments of $1.50 ( 1.50, 3.00 , 4.50, 6.00, etc.
Then put dots on the intersection of price with the number of bottles and then draw a straight line through the dots.
for every 1 bottle of water sold the price increases by 1.50
so at x 1 y = 1.50
at x 2 y = 3.00
at x 3 y = 4.50
and so on
Chad has 6 fewer sandwiches than Sarah.chad had 7 sandwiches. how many sandwiches did Sarah made?
Sarah made total 13 sandwiches.
What is an algebraic expression?
An algebraic expression is consists of variables, numbers with various mathematical operations.
Given that,
The number of sandwiches chad have = 7
Also, Chad has 6 fewer sandwiches than Sarah,
Let the number of sandwiches Sarah have = x,
According to condition,
Sarah has 6 more sandwiches than Chad,
⇒x = 7 + 6
⇒x = 13
The number of sandwiches that Sarah made is 13.
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Miki has a sheet of paper with a length of 104 centimeters and a width of 88 centimeters. She wants to divide it into the largest squares possible without wasting any paper. How many squares of the largest size will she be able to cut from the paper? 13 squares, 26 squares, 143 squares, or 572 squares
In a classroom of 32 students 14 are male. What percentage in the class is female
Pedro deposited $35 then withdrew $50 show number line graph
The perimeter of a college athletic field is 104104 meters and the length is 1414 m more than the width. find the length and width.
A hot air balloon rising vertically is tracked by an observer located 3 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is π/3 , and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?
The observer and the balloon form a right triangle (see attachment).
The balloon is rising at 1.2 rad per min
Using tangent rule, we have:
[tex]\mathbf{tan(\theta) = \frac{y}{x}}[/tex]
Substitute 3 for x
[tex]\mathbf{tan(\theta) = \frac{y}{3}}[/tex]
Differentiate both sides with respect to time (t)
[tex]\mathbf{sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{3} \cdot \frac{dy}{dt}}[/tex]
Make dy/dt, the subject
[tex]\mathbf{\frac{dy}{dt} = 3 \cdot sec^2(\theta) \cdot \frac{d\theta}{dt} }[/tex]
Substitute [tex]\mathbf{\theta = \frac{\pi}{3}\ and\ \frac{d\theta}{dt} = 0.1}[/tex]
So, we have:
[tex]\mathbf{\frac{dy}{dt} = 3 \cdot sec^2(\pi/3) \cdot 0.1 }[/tex]
Using a calculator, we have:
[tex]\mathbf{\frac{dy}{dt} = 3 \cdot 2^2 \cdot 0.1 }[/tex]
Multiply
[tex]\mathbf{\frac{dy}{dt} = 1.2}[/tex]
Hence, the balloon is rising at 1.2 rad per min
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In the year 2001, a total of 7.2 million passengers took a cruise vacation. The global cruise industry has been growing at 9% per year for the last decade. Assume that this growth rate continues.
How many cruise passengers (in millions) are predicted in the year 2002?
To predict the number of cruise passengers in 2002, multiply the growth rate by the previous year's number of passengers and add that to the previous year's total.
Explanation:To predict the number of cruise passengers in the year 2002, we need to apply the growth rate of 9% to the number of passengers in the previous year (2001).
Therefore, the predicted number of cruise passengers in the year 2002 is
7.848 million
.
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jerome burned 75 calories in 15 minutes on a stationary bicycle. how many calories will he burn in 25 minutes?
Justin is going on a 2000 kilometer road trip with two friends. The car consumes 6 liters of gas for every 100 kilometers and gas costs $1.20 per liter. If Justin and his two friends want to spilt it evenly, how much should each pay and how many liters of gas do they need
2000 / 100 = 20
20 * 6 = 120 liters total gas
120 * 1.20 = $144 total for gas
144 / 3 = $48 each
the value of a particular investment follows a pattern of exponential growth. in the year 2000 you invested money in a money market account. the value of your investment t years after 2000 is given by the exponential growth model A=2600e^0.052t. how much did u initially invest in the account? please show work
the 2600 is the constant so you initially invested $2600
James built a small electric car and recorded the distance it traveled. The table below shows the distance traveled (n) during the first 4 seconds after starting (f). Elapsed Time (seconds) Distance Traveled (feet) 1 6.2 2 12.4 3 18.6 4 24.8 Which of the following equations represents the relationship between the distance traveled and the elapsed time? f = 6.2 + n n = 6.2 + f f = 6.2n n = 6.2f
Write an equation of four lines that intersect to form the sides of a parallelogram
To write equations for four lines forming a parallelogram, we use the slope-intercept form ensuring two sets of parallel lines. Opposite lines have equal slopes and by manipulating the y-intercepts, we ensure they intersect appropriately to form a parallelogram.
Writing an equation for four lines that intersect to form the sides of a parallelogram involves ensuring that opposite sides are parallel and equal in length. One straightforward approach is to use the slope-intercept form of a line, y = mx + b, to define the lines.
Let's start by defining two lines with slopes 'm' and 'm' (since opposite sides of a parallelogram are parallel) and two lines with slopes '-1/m' to ensure they are also parallel to each other but perpendicular to the first set of lines. If we assume lines have y-intercepts at 'b' and '-b' respectively (to ensure symmetry and simplify calculations), our equations would be:
y = mx + b (Line 1)y = mx - b (Line 2) - Parallel to Line 1y = (-1/m)x + k (Line 3) - Perpendicular to Line 1y = (-1/m)x + l (Line 4) - Parallel to Line 3Here, m represents the slope of the first set of parallel lines, b represents the y-intercept of line 1, -b represents the y-intercept of line 2, and k and l are the y-intercepts of lines 3 and 4. By adjusting 'b', 'k', and 'l' we ensure the lines intersect to form a parallelogram.
These lines will form a parallelogram as long as 'k' and 'l' are chosen such that the distances between the y-intercepts of lines 1 and 2, and lines 3 and 4, are equal, satisfying the condition for parallel lines in a parallelogram. This way, we can visually imagine or draw a parallelogram with these four lines as its sides.
there are 207 students in 9 classes at east middle school at this rate how many students are in six classes
solve this system of linear equations. separate the x- and y- values with a coma. -x=29-14y
-9x=-19+14y
We are given the two equations:
(1) -x=29-14y
(2) -9x=-19+14y
Multiply (1) by 9:
-9x = 261 – 126y
Subtract the two equations:
-9x = 261 – 126y
-
-9x=-19 + 14y
0 = 280 – 140y
140y = 280
y = 2
From (1):
-x = 29 – 14 (2)
x = -1
Answers:
x = -1
y = 2
A seamstress has one-fourth of a foot of thread. Then she uses one-fifth of a foot of thread to sew a hole. How much of the thread is left?