Answer:
The average speed is 16 km/hr.
Step-by-step explanation:
Given : It takes Francisco 15 minutes to ride his bike 4 km, which is the distance from home to school.
To find : What is his average speed?
Solution :
Distance covered from home to school is 4 km.
Time taken by bike to cover the distance is 15 minutes.
Converting minutes into hour,
1 hour = 60 minutes
1 minute = [tex]\frac{1}{60}[/tex] hours
15 minute = [tex]\frac{15}{60}[/tex] hours
15 minute = 0.25 hours
The speed formula is given by,
[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]
[tex]\text{Speed}=\frac{4}{0.25}[/tex]
[tex]\text{Speed}=16[/tex]
Therefore, The average speed is 16 km/hr.
What is 70% of 60 dollars
I'm offering 20 points, only answer is you're smart
both angles need to equal 180 degrees
3x+18 +5x+2 =180
8x+20 = 180
8x =160
x = 160/8 = 20
x = 20
It only gives the answerer half the points that you pay, for future reference.
The life expectancy of a typical lightbulb is normally distributed with a mean of 2,000 hours and a standard deviation of 27 hours. What is the probability that a lightbulb will last between 1,975 and 2,050 hours?
A. 0.17619
B. 0.32381
C. 0.79165
D. 0.96784
A recipe for sugar cookies requires 2 cups of flour for every 2/3 cups of sugar. At this rate, how many cups of sugar should be used if 5 cups of flour is included?
The number of the cups of sugar required for 5 cups of flour will be 5/3 cups.
What is ratio and proportions?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
A recipe for sugar cookies requires 2 cups of flour for every 2/3 cup of sugar.
To Find: at this rate how many cups of sugar should we use if 5 cups of flour is included.
For recipe of Sugar cookie =
Sugar required for cups of flour= [tex]\dfrac{2}{3}\ cup[/tex]
Sugar required for cup of flour= [tex]\dfrac{2}{3}\times \dfrac{1}{2}=\dfrac{1}{3}[/tex]
Now,
If 5 cups of flour is included
cups of sugar required
[tex]=5\times Number \ of \ sugar\ cups\ required\ for\ 1\ cup\ of\ flour\\[/tex]
[tex]=5\times \dfrac{1}{3}=\dfrac{5}{3}\ cups[/tex]
Hence 5/3 cups should be used if 5 cups of flour is included
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how would I do this
Holly missed 8 of 182 school days this year. Approximately what percent of school days was Holly in attendance?
Answer:
Wrong it is
Step-by-step explanation:
First, determine how many school days Holly attended.
182 - 7 = 175
Next, find the percentage of school days she attended.
175 ÷ 182 = 0.9615384615 96%
Holly attended approximately 96% of school days.
To calculate the percentage of school days Holly was in attendance, subtract the days missed from the total days and divide by the total days, then multiply by 100.
Holly missed 8 out of 182 school days this year. To find the percentage of days she was present, subtract the days missed from total days and divide by total days, then multiply by 100.
Days attended = 182 - 8 = 174Percentage attended = (174/182) * 100 ≈ 95.60%A container holds 3 quarts of lemonade. How much is this in cups? Use the table below. Include the correct unit in your answer.
To find out how many cups are in 3 quarts of lemonade, you multiply the number of quarts (3) by the conversion factor of 4 cups per quart, giving you 12 cups of lemonade.
To answer the question, 3 quarts of lemonade is equivalent to how many cups, we will need to use the conversion between quarts and cups. In the United States customary system, 1 quart is equal to 4 cups. Therefore, to convert quarts to cups, you would multiply the number of quarts by 4.
To solve:
Multiply the number of quarts by 4 to convert to cups.Thus, 3 quarts of lemonade is equivalent to 12 cups of lemonade.
What value should go in the empty box to complete the calculation for finding the product?
of 23.456 × 0.86?
Answers
1,576,480
1,623,392
1,876,480
1,923,392
Answer:
the answer is 1,876,480
Step-by-step explanation:
3(y-2)=18
3y-____=18
3y=____
Please help me with these questions (: Ty
1.) Multiply.
1.25(−3.6)
Enter your answer as a decimal in the box.
2.) Divide.
−1/9÷3/4
A.)−4 2/7
B.)−1 1/2
C.)1 1/2
D.)4 2/7
Ty <3
the wind blew away 26 of y out r muffins. That was 2/3 of all of them! With how many did you start?
26 / 2/3 = 39
you started with 39 muffins
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 5 x + y = 7
I need help for number 10 please someone help
roland sold 26 candy bars during the first week. the number of candy bars he sold during the second week was 4 less than 2 times the number of candy bars he sold during the first week. the number of candy bars he sold during the third week was 6 more than 1 1/2 times the number of candy bars he sold during the second week. what was the total number of candy bars roland sold during the three weeks?
The number of candy bars Roland sold during the three weeks will be 152.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Roland sold 26 candy bars during the first week.
The number of treats he sold during the subsequent week was 4 under twice the quantity of pieces of candy he sold during the principal week.
Then the number of candies sold in the second week will be calculated as,
⇒ 2 x 26 - 4
⇒ 48
The number of sweet treats he sold during the third week was 6 a greater number than 1 ¹/₂ time the number of pieces of candy he sold during the subsequent week. Then the number of candies sold in third week will be given as,
⇒ 48 x (1 ¹/₂) + 6
⇒ 48 x 1.5 + 6
⇒ 72 + 6
⇒ 78
The total candies are calculated as,
⇒ 26 + 48 + 78
⇒ 152
The number of candy bars Roland sold during the three weeks will be 152.
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A line with a slope of 1/2 passes through the point 2,-1 what is the equation of this line
The equation of the line is [tex]\( y = \frac{1}{2}x - 2 \)[/tex].
To find the equation of a line with a given slope passing through a specific point, you can use the point-slope form of a linear equation: [tex]\( y - y_1 = m(x - x_1) \)[/tex], where ( m ) is the slope and [tex]\( (x_1, y_1) \)[/tex] is the given point.
Given that the slope [tex]\( m = \frac{1}{2} \)[/tex] and the point ( (2, -1) ), we substitute these values into the point-slope form:
[tex]\( y - (-1) = \frac{1}{2}(x - 2) \)[/tex]
This simplifies to:
[tex]\( y + 1 = \frac{1}{2}(x - 2) \)[/tex]
To remove the fraction, distribute [tex]\( \frac{1}{2} \)[/tex]:
[tex]\( y + 1 = \frac{1}{2}x - 1 \)[/tex]
Now, isolate ( y ) by subtracting 1 from both sides:
[tex]\( y = \frac{1}{2}x - 1 - 1 \)[/tex]
[tex]\( y = \frac{1}{2}x - 2 \)[/tex]
So, the equation of the line is [tex]\( y = \frac{1}{2}x - 2 \)[/tex].
What is the approximate length of the midsegment parallel to BC. the coordinates are B(-6,1) C(5,-1) ? please help
Step-by-step explanation:
Let the mid-point of BC is M. So, the length of BM = MC.
The coordinates of B are (-6, 1) and coordinates of C are (5, -1). Therefore, using the distance formula find the distance as follows.
d = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}[/tex]
Place the values form points B and C into the above formula as follows.
d = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}[/tex]
= [tex]\sqrt{(5- (-6))^{2} + ((-1)- (1))^{2}}[/tex]
= [tex]\sqrt{(11)^{2} + (-2)^{2}}[/tex]
= [tex]\sqrt{121 + 4}[/tex]
= [tex]\sqrt{125}[/tex]
= 11.18 (approx)
Therefore, the length of mid-point of line segment will be [tex]\frac{11.18}{2}[/tex] = 5.59 (approx). BM = MC = 5.59.
The length of line segment which is parallel to BC = [tex]\frac{d}{2}[/tex].
How do I write equivalent ratios
A classic counting problem is to determine the number of different ways that the letters of "generally""generally" can be arranged. Find that number.
Final answer:
To determine the number of arrangements for the word 'generally', one calculates 9 factorial divided by the factorial of the counts of each repeated letter. With 'E' and 'L' repeating twice each, the calculation is 9! / (2! × 2!) resulting in 90720 unique arrangements.
Explanation:
Calculating Arrangements of the Word 'GENERALLY'
To calculate the number of different ways the letters in the word 'generally' can be arranged, we have to take into account the repeated letters. The word 'generally' has 9 letters with the following repetitions: G-1, E-2, N-1, R-1, A-1, L-2, and Y-1. The formula to calculate the permutations of a set of objects where there are duplicates is the factorial of the number of objects divided by the product of the factorials of the number of duplicates for each object.
Thus, to find the number of arrangements, we would calculate 9! (9 factorial) and then divide it by the product of the factorials of the repeated letters, which are E and L. This gives us 9! / (2! × 2!), or 362880 / (2 × 2), which simplifies to 90720 unique arrangements for the letters in 'generally'.
This combinatorial approach is a useful exercise in understanding how to count arrangements and can be applied more broadly to comprehend more intricate probability and statistics problems
2/5ab What are the factors of the expression? Drag all of the factors of the expression into the box. Factors −1 2 5 2 5 a b
Help me solve this problem!!PLEASE help I need this answer and I need to know how to solve this by today!!
livia wants to purchase a pair of shoes for $50.She also wants to huy some socks that cost $2.20 each.She only has $64.00 to spend.How many pairs of socks can she buy along with the shoes?
Ps:please tell me how you how you got it showing your work! Please thank you so much I need this answer ASAP
What is .. 3i ( 6 - 5i )
How do I find the value of z?
Will is w years old.
Ben is e years older.
Jan is twice as old as Ben.
Write an expression, in terms of w, for Jan’s age.
Yara multiplies and divides a certain number by the same power of 10. The product she gets is 40,000 and the quotient she gets is 0.000004. Find yara’s Number and the power of 10 she used. Explain your reasoning
The power of 10 she used will be 10⁵.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Yara multiplies and divides a certain number by the same power of 10. The product she gets is 40,000 and the quotient she gets is 0.000004.
40,000 = 4 x 10⁴
0.000004 = 4 x 10⁻⁶
The power of 10 exactly in between 4 and -6 is -1.
She started with 4 x 10⁻¹ which is 0.4.
0.4 x 100,000 = 40,000
0.4/100,000 = 0.000004
The number she started with is 0.4.
The power is 10⁵.
The power of 10 she used will be 10⁵.
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Suppose a camping tent has a center pole that is 6 feet high. If the sides of the tent make 40° angles with the ground, how wide, in feet, is the tent?
Two cards are drawn at random from a standard deck of 52 cards. what is the probability that both cards are aces
Answer:
1/221
Step-by-step explanation:
got it right on edge :)
Use doubles minus one to solve 8+7. Write the number sentence
Answer:
8+8-1 = 15
Step-by-step explanation:
The doubles minus one is the technique to add two numbers which are consecutive.In this technique you add double the greatest number of the two consecutive and then subtract 1 from the result.
Here we have equation 8+7.
so doubling the greater number (8+8) or (8*2) gives us 16.
then subtracting 1 from it (16-1) gives us 15
so 15 is our answer.
Using the doubles minus one strategy, the greater value of the expression is doubled and one subtracted from the sum. Hence, we have 8 + 8 - 1 = 15
Given the expression :
8 + 7
The greater value of the two digits is 8
Doubling the greater value : 8 + 8
Subtracting 1 from the sum of the doubled digit :
8 + 8 - 1 = 8 - 7 = 15
Therefore, the result of the expression is 15
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Identify the contrapositive of the following statement. If x = 2, then x + 3 = 5.
a) If x + 3 = 5, then x = 2.
b) If x + 3 ≠ 5, then x ≠ 2.
c) If x ≠ 2, then x + 3 ≠ 5.
d) x = 2 and x + 3 = 5.
Answer:
If x + 3 ≠ 5, then x ≠ 2 thus b: is your Answer
Step-by-step explanation:
The correct contrapositive of the statement "If x = 2, then x + 3 = 5" is: If x ≠ 2, then x + 3 ≠ 5.
Explanation:The contrapositive of the statement "If x = 2, then x + 3 = 5" can be found by negating the statement and switching the hypothesis and conclusion. The negation of "x = 2" is "x ≠ 2" and the negation of "x + 3 = 5" is "x + 3 ≠ 5".
Therefore, the contrapositive of the statement is: If x ≠ 2, then x + 3 ≠ 5. Option (c) represents the correct contrapositive of the statement.
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find f(-1) for f(x)= 3x^2 + 5x +6
What is the slope of this lines passing through (-8,2) (0,2), (7,2)