Bill was able to walk 2 more than twice as many dogs as his friend Steve. Write an algebraic expression to represent the number of dogs Bill walked compared with Steve.
Find two consecutive whole numbers that square root 62 lies between
The square root of 62 lies between the consecutive whole numbers 7 and 8, because 7² is 49 and 8² is 64, and 62 is between these two square numbers.
Explanation:The student is asking for two consecutive whole numbers between which the square root of 62 lies. First, identify the whole numbers whose square roots are immediately less than and greater than √62. Considering square numbers we know, 7² = 49 and 8² = 64. Since 49 < 62 < 64, the square root of 62 must be between 7 and 8. Therefore, the two consecutive whole numbers are 7 and 8, as √62 is greater than 7 but less than 8.
Use elimination to solve the system of equations given by 3x + 4y = 5 and 21x + 28y = 35.
(0 = 0) is a true statement, it means that the system of equations has infinitely many solutions.
The correct option is (C).
To solve the system of equations using elimination, we'll manipulate one or both equations to eliminate one of the variables, either \(x\) or \(y\). Let's start by using elimination to eliminate \(x\).
Given the system of equations:
[tex]\[ \begin{cases} 3x + 4y = 5 \quad \quad \quad \quad \quad (1) \\21x + 28y = 35 \quad \quad \quad (2)\end{cases} \][/tex]
We can see that if we multiply equation (1) by 7, we can eliminate (x) when we add the equations together:
[tex]\[ 7(3x + 4y) = 7 \times 5 \][/tex]
[tex]\[ 21x + 28y = 35 \][/tex]
Now, we can rewrite equation (1) as:
[tex]\[ 21x + 28y = 35 \quad \quad \quad \quad \quad (3) \][/tex]
Now, we'll subtract equation (2) from equation (3):
[tex]\[ (21x + 28y) - (21x + 28y) = 35 - 35 \][/tex]
[ 0 = 0 ]
Since (0 = 0) is a true statement, it means that the system of equations has infinitely many solutions.
So, the correct answer is option C: Infinitely Many Solutions.
complete question given below:
Use elimination to solve the system of equations given by 3x + 4y = 5 and 21x + 28y = 35.
A. No Solution
B. (5/3, 0)
C. Infinitely Many Solutions
D. (0, 5/4)
What is the area of the trapezoid?
Enter your answer in the box.
[ in] and two at the top
Complete the compass rose below with the correct bearings, please help ASAP
A circular garden has a circumference of 44 yards. Lars is digging a straight line along a diameter of the garden at a rate of 7 yards per hour. How many hours will it take him to dig across the garden?
It will take almost 2 hours to dig across the garden.
What is circumference of circle?"It is the length of the boundary of the circle."
Formula for the circumference of circle:[tex]c = 2\times \pi \times r[/tex]
What is rate?"It is the distance covered per unit times."
For given question,
A circular garden has a circumference of 44 yards.
⇒ C = 44
⇒ 2 × π × r = 44
⇒ 2 × r = 14.01 yards
We know, the diameter of the circle is d = 2 × r
This means, the diameter of the circular ground is 14.01 yards.
here, the rate (s) = 7 yards per hour
Using the formula of rate,
[tex]\Rightarrow s=\frac{d}{t}\\\\\Rightarrow 7=\frac{14.01}{t}\\\\ \Rightarrow t= 2.001\\\\ \Rightarrow t\approx 2~~hours[/tex]
Therefore, it will take him almost 2 hours to dig across the garden.
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Abigail flipped a coin 20 times, and it landed with heads facing up 13 times. What percent of the coin flips landed with heads facing up.
The percentage of times Abigail's coin landed on heads is 65%, which is found by dividing the number of successful outcomes (head flips) by the total number of trials (total flips) and then multiplying by 100.
Explanation:The calculation you're asking for is one of percentage, which is a basic concept in mathematics often related to probability and statistics. We determine the percentage of times the coin landed on heads by dividing the number of successful outcomes (the coin landing on heads) by the total number of trials (the total coin flips), and then multiplying that result by 100 to convert the decimal to a percentage.
Here's a step-by-step way to do it:
Firstly, count the number of times the coin landed on heads, which is 13. Next, count the total number of coin flips, which is 20. Divide the number of successful outcomes (head flips) by the total trials (total flips). In this case, 13 ÷ 20 = 0.65. Finally, to convert this decimal to a percentage, multiply by 100. So, 0.65 × 100 = 65%.
So, 65% of Abigail's coin flips landed with heads facing up.
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35 feet. The distance from the slide to the bench is 12 feet. Use the Pythagorean theorem to find the distance from the bench to the swings.
the answer to this question is 37
The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is mc024-1.jpg. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall? 11.5 feet 13.1 feet 14.6 feet 15.4 feet
Answer: 14.6 feet
Step-by-step explanation:
Since, here a ladder which has the length 15 foot and it is far from the base of the wall by 3.5 feet.
Here L represents the length of the ladder while d represents the distance of the ladder from the base of the wall. ( shown in figure)
While h represents height that the ladder reaches up the wall.
Thus, L= 15 foot, d= 3.5 foot
Then on applying Pythagoras theorem,
[tex]L^2=d^2+h^2[/tex]
⇒[tex]15^2=3.5^2+h^2[/tex]
⇒[tex]225=12.25+h^2[/tex]
⇒[tex]h^2=21.75[/tex]
⇒[tex]h=14.5859521458[/tex]≈ 14.6 foot
Thus,height that the ladder reaches up the wall= 14.6 foot ( approx)
What is the slope of the function?
What is the area of a sector with a central angle of 3pi/5 radians and a diameter of 21.2cm
Use 3.14 for pi and round to the nearest hundredth
Cm2
What mixed number does it show?
What are the roots of f(x)=x2-48
I hope you can see the picture
Felicia had made 1/4 gallon if punch and poured an equal amount into 8 glasses.would the amount i n each glass be more ot less than 1/16 gallon?
what is the surface area of this triangular prism
Is 6 pints is greater than less than or equal to 60 fluid ounces
What is 2/5³? Please put it in simplest form.
am always plans his leisure time for surfing the Internet and painting in the same ratio. Use the information given to complete the table. Internet surfing (min) Painting (min) 24 24 36 40 33 44
which are the roots of the quadratic function f(q) = q^2 - 125? check all that apply.
The front of an a-frame house is in the shape of a triangle.The height of the house is 20 feet.The area of the front of the a-frame is 600 square feet.Write and solve an equation to find the base of the A-frame house
Answer:
60 feet
Step-by-step explanation:
Multiply the area by 2 to get 1200 feet. then, divide by 20 to get 60. The base of the a-frame is 60 feet.
Hallie hikes 5 miles in 90 minutes. At this pace, how long will it take her to hike the next 2 miles? Enter your answer in the box.
Laura bought a square canvas to paint a picture of her cat one side measured 22 centimeters what is tha area of the canvas
ASAP
Anthony spent $11.23 on his lunch while Margo spent $8.96 on her lunch. Anthony paid with a twenty dollar bill and gave a $2.25 tip. How much did Anthony have left from his twenty dollar bill?
A. $13.48
B. $8.77
C. $6.52
D. $2.24
the answer is c
sorry if im wrong.
iT COST $9 TO GO TO PETE'S POTTERY PLACE TO MAKE YOUR OWN BOWLS $3 PER BOWL. NATALIE GOES TO PETE'S POTTERY PLACE AND MAKES B BOWLS. SHE DECIODES TO MAKE BOWLS 5 DAYS THIS MONTH SO SHE CAN SELL THEM AT A CRAFTS FAIR.
Part A:write an expression that will represent Natalite's total costy for this month.
BD is the perpendicular bisector of AC. What is the length of AC?
Answer:
AC = 12 units.
Step-by-step explanation:
Given : A triangle ABC with BD is the perpendicular bisector of AC.
To find : What is the length of AC.
Solution : We have given triangle ABC with BD is the perpendicular bisector of AC.
Bisector : Which cut the line equally in to two part.
So , BD cut AC in two equal part AD = DC.
We can write
AC = AD + DC.
Plug the values DC = 6 , AD =DC = 6.
AC = 6 + 6
AC = 12 units.
Therefore , AC = 12 units.
A box is filled with black (B), white (W), red (R), green (G), and pink (P) phone cases. A phone case is selected at random.
What is the sample space for this experiment?
S = {B, W, R}
S = {B, W, R, G, P}
S = {G, P}
S = {B, R, G, P}
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Twenty-four students took a test. Fourteen students earned an A and 10 students earned a B. A student will be randomly chosen.
What is the probability that the student earned an A on the last test?
Enter your answer as a fraction, in simplest form, in the box.
ANSWER 1 :
Sample Space ( S )= {B, W, R, G, P} Option (ii)
Explanation:
There are five types of phone cases. Colors of the phone cases are Black, White, Red, Green, Pink.
One phone case is selecte as random, in this case we have 5 choices to select one phone case at a time.
So, Sample space is S = {B, W, R, G, P} Option(ii)
Final answer.
Answer 2 :
Probability for student earn grade A = [tex] \frac{7}{12} [/tex]
Explanation :
There are total 24 students in a class.
All student appeared in a test.
14 students are got grade A
and 10 students are got grade B.
One student choose at random whose grade is A.
Probability for selected grade A student = (total students of grade A)/(Total number of student in a class)
Probability for selected grade A student = [tex] \frac{14}{24} [/tex]
Probability for selected grade A student =[tex] \frac{7}{12} [/tex]
Final answer.
Find the slope and the y-intercept in this equation: 3y+6=-2x
Lee and Lyn both invested their birthday money. Lee put his money in a savings account that earned 8% simple interest annually. Lyn put her money in an account that earned 8% interest compounded annually. Who made the better investment and why?
3. Haruto was the starting pitcher for his baseball team. In his last two games, the coach kept a close eye on the number of pitches, balls, and strikes he threw.
(a) In the first game recorded, the coach wrote 60%, or 54 pitches, were strikes. Find the total number of pitches Haruto threw in this game.
(b) In the second game recorded, the coach recorded 40%, or 34 pitches, were balls. Find the number of strikes and the total number of pitches he threw in this game.
Answer:
90
Step-by-step explanation:
:P