Jose left the airport and traveled toward the mountains. Kayla left 2.1 hours later traveling 35 mph faster in an effort to catch up to him. After 1.2 hours Kayla finally caught up. Find Jose's speed.
========================================================
Explanation:
x = Jose's speed in mph
x+35 = Kayla's speed since she drives 35 mph faster than Jose
Jose gets a 2.1 hour head start and it takes Kayla 1.2 hours to reach him. So this means Jose has been driving for 2.1+1.2 = 3.3 hours when Kayla reaches him. The distance he travels is
distance = rate*time
d = r*t
d = x*3.3
d = 3.3x
while Kayla's distance equation is
d = r*t
d = (x+35)*1.2
d = 1.2x+42
Since Kayla meets up with Jose at the 1.2 hour mark, this means the two distances they travel is the same. Set their distance expressions equal to one another. Solve for x.
3.3x = 1.2x+42
3.3x-1.2x = 42
2.1x = 42
x = 42/(2.1)
x = 20
Jose's speed is 20 mph, while Kayla's speed is x+35 = 20+35 = 55 mph.
Jose's fairly slow speed is probably due to a number of factors such as heavy traffic, icy roads, or poor visibility. Kayla probably got a bit of a break with more favorable conditions.
Since Jose travels at 20 mph and does so for 3.3 hours, he travels d = r*t = 20*3.3 = 66 miles. Kayla travels d = r*t = 55*1.2 = 66 miles as well. We get the same number each time to help confirm the answer.
Geoff works at a warehouse , earning $17.50 per hour plus a $200 what’s the equation?
Answer:
P = 17.50x + 200
Step-by-step explanation:
x is the number of hours worked
P is how much money Geoff earns
Determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form
15, 11 ,7, …
Answer:
This is the arithmetic sequence which has a common difference that equals to -4.
Step-by-step explanation:
An arithmetic sequence is a sequence with common difference. A common difference can be found by subtracting previous term with next term.
A common difference can be expressed in [tex]\displaystyle \large{d=a_{n+1}-a_n}[/tex] where d stands for common difference.
________
Moving to the question given. We have a sequence with given 15,11,7, ... first subtract 15 with 11.
11-15 = -4
7-11 = -4
Therefore, we can conclude that the common difference is -4 thus making the given sequence an arithmetic.
Let me know if you have any question so regarding the sequence!
The table shows the final score of four golfers.
Golfer Final Score
Joe
-2
Allen
-5
Tara
-8
Violet
-4
Whose score was the lowest? Whose was the highest? Select your answers from the drop-down lists.
score was the lowest.
score was the highest.
Students, draw anywhere on this slide!
PER Deck eractive Skoe
Answer:
Joe score was the highest. Tara score was the lowest.
Step-by-step explanation:
A line with a slope of 2 passes through the point (3,9).
Write an equation for this line in point-slope form.
Answer:
y-9=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
y-9=2(x-3)
A basket of fruit contains 6 apples, 5 oranges, 3 bananas, and 2 limes.Which of the following statements about the fruits in the basket are true?Select the two correct statements.
Answer:
[tex]6 + 5 = 11 + 3 = 14 + 2 = 16[/tex]
[tex]6 \div 5 \div 3 \div 2 = 0.2[/tex]
[tex] 6 \times 5 \times 3 \times 2 = 180[/tex]
Step-by-step explanation:
If its addition add them, multiplication multiply them, division divided them.
Answer:
Step-by-step explanation:
i need help sorry no answer got u
brainless for the person who gets this right!
which expression its equivalent
A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of 210 square inches.
What is the volume of the desk drawer?
Enter your answer in the box.
Answer:
1470 inches cubed
Step-by-step explanation:
Vol=length × width × height
But ALSO,
length × width = Area,
So we find another Volume equation,
Vol = BaseArea × height
This is the information you are given in the question.
Vol = 210 × 7
Vol = 1470 inches cubed
Solve the evens and I will mark you brainliest when available.
Answer:
The solution is in the photo
What is an equivalent ratio
Answer:
Equivalent ratios (which are, in effect, equivalent fractions) are two ratios that express the same relationship between numbers. We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number. Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.
Let simplify :- 2 ⅓ ÷ 1 ⅛ ÷ 2 ¼
Step-by-step explanation:
7/2 ÷ 9/8 ÷ 9/4
7/2 × 8/9 × 4/9
= 112/81
= 1 ³¹/81
[tex]\large\huge\green{\sf{Question:-}}[/tex]
2 ⅓ ÷ 1 ⅛ ÷ 2 ¼[tex]\large\huge\green{\sf{Answer:-}}[/tex]
=2 ⅓ ÷ 1 ⅛ ÷ 2 ¼ =???
=7/2 ÷ 9/8 ÷ 9/4
=7/2 × 8/9 × 4/9
= 224/162
=112 /81
=1 ³¹/81
To get to the next term in this sequence, multiply the last term by 2.5. What is the value of the next term?
1, 2.5, 6.25, 15.625, ...
HELP ASAP WILL GIVE BRAINLIEST
Answer:
39.0625
Step-by-step explanation:
15.625 times 2.5= 39.0625
You're just multiplying each value by 2.5
1 times 2.5= 2.5
2.5 times 2.5= 6.25
6.25 times 2.5= 15.625
and then 15.625 times 2.5= 39.0625
Aarón rides his bike away from home at a constant speed he stops at the park for a while before riding back home at a constant speed
Answer:
Step-by-step explanation: This is the answer
find the value of X in the following figures
Answer: 70
Step-by-step explanation:
Diagonals of a rhombus bisect each other at right angles, so
[tex]x+20=90\\\\x=\boxed{70}[/tex]
A triangle has two angles with measures of 50 degrees and 70 degrees joined by a side with a length of 20 centimeters.
Which figure represents this triangle?
709
50
O
20
50
2009
70
o
500
709
20
20
70°
50°
Answer:
Step-by-step explanation:
Given :-
Two angles in a triangle have measurements of 20° and 50 °.
To Find :-
Measurement of third angles of triangle
Solution :-
We know that the sum of all angles of triangle is 180°.
Measurement of third angles = x
20° + 50° + x = 180°
combine like terms
70° + x = 180°
subtract both sides from 70°.
70° - 70° + x = 180° - 70°
x = 110 °
Hence, the measurement of the third angie of a triangle is 110°.
Answer:
The third option is the correct answer.
Find the equation of a line that intersects with y=2x-1 on the y-axis and is parallel to y=-x. Please explain.
Answer:
so where does that line intersect the y axis? just plug in x=0 and you see y= -1. so (0, -1)
y = -x -1 is parallel because it has the same slope and goes through the right point
The graphs below have the same shape. What is the equation of the blue graph?
G(x) =
O A. G(X) = x^2 + 1
O B. G(X) = (x - 1)^2
O C. G(X) = (x + 1)^2
O D. G(x) = x^2-1
Answer:
c) G(x) = (x + 1)**2
Step-by-step explanation:
A function left shift is x + shift and a right shift is x - shift.
Manny has a garden that is 12 feet long and 9 feet wide. What is the perimeter of
Manny's garden?
Use the formula for perimeter, P =
2 (1 + w).
432 feet
O 33 feet
O 42 feet
216 feet
Answer:
42 ft
Step-by-step explanation:
2(L + W ) = P
2 (12 + 9) = P
2 (21) = P
42 = P
P = 42
The refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollar and cents?
Answer:
$31.53
31 dollars 53 cents
Step-by-step explanation:
6% is equal to 0.06.
0.06 * 525.50 = 31.53.
Hope this helps
please help
step bu step
Answer:
what ang hirap nmn anong grade ka na ba
To bring a "carry-on" bag onto an airplane the bag needs to weigh less than 25 pounds. Right now Julie's carry-on bag weighs 32 pounds. How much weight must Julie remove from her bag?
My answer needs to be 32-25=7
I NEED HELP!!!!!
4. Three bags of Skittles and two bags of M&M's
weigh 3 pounds. Four bags of Skittles weigh 3
pounds. All bags of skittles weigh the same, and
all bags of M&M's weigh the same. What is the
ratio of the weight of a bag of Skittles to a bag of
M&M's?
Answer:
Step-by-step explanation:
How many Skittles is in a 4 pound bag?
Fun-size packages are perfect for parties, party favors, trick-or-treaters, gift baskets, lunch treats and on-the-go snacks. Approximately 20 individual packs per lb.
...
Skittles Fun-Size Packs, 4-Lb Box.
The impact on sampling of increasing the sample size is: There is no specific relationship between sample size and sampling error.
Using margin of error, it is found that increasing the sample size results in a smaller sampling error.
The equation for the margin of error is given by:
[tex]M = c\frac{s}{\sqrt{n}}[/tex]
In which:
c is the critical value according to the distribution used.s is the standard deviation, either of the sample or of the population.n is the sample size.From the equation, it can be noted that the margin of error is inversely proportional to the square root of the sample size, hence, increasing the sample size results in a smaller sampling error.
To learn more about margin of error, you can take a look at https://brainly.com/question/25821952
Evaluate.
(jk−1)÷j when j=−4 and k=−0.7
Enter your answer as a decimal in the box.
Answer:
(jk - 1) / j
jk = (-4 x -0.7) = 2.8
(2.8 - 1) / - 4
1.8 / -4 = -0.45
Answer is -0.45 when j = -4 and k = -0.7
[tex]2 \frac{2}{3} + 3 \frac{1}{3} + 1 \frac{2}{3} [/tex]
aaaaaaaaaadddddddd
~nightmare5474~
[tex]2\frac{2}{3} + 3\frac{1}{3} + 1\frac{2}{3} = 7\frac{2}{3} [/tex]
let's convert each mixed fraction into improper fractions. Therefore,
What are Improper fractions:Improper fractions are fractions that has the numerator bigger than the denominator.
[tex]2\frac{2}{3} = \frac{8}{3} [/tex]
[tex]3\frac{1}{3} = \frac{10}{3} [/tex]
[tex]1\frac{2}{3} = \frac{5}{3} [/tex]
Therefore,
[tex]\frac{8}{3} + \frac{10}{3} + \frac{5}{3} [/tex]
[tex] \frac{8}{3} + \frac{10}{3} + \frac{5}{3} = \frac{8 + 10 + 5}{3} = \frac{23}{3} [/tex]
Let's convert our answer back to mixed fractions
[tex]\frac{23}{3} = 7\frac{2}{3} [/tex]
learn more on fraction here:https://brainly.com/question/25412?referrer=searchResults
Solve for x: one over eight 1/8(8x + 15) = 24
Answer:
22[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
I hope this helps!!!
Susan loaned Marcel $19,080 at an interest rate of 17% for 5 years. How much will Marcel pay Susan at the end of 5 years? Round your answer to the nearest cent, if necessary.
Help me please i really need it
Answer:
Step-by-step explanation:
RSB is a right angle
12. RSB is 90 degrees
13. A right angle is 90 degrees
H is between P and S
14. PS + PH = HS
15. Deductive Reasoning
How do I multiply a fraction and a whole number? Please explain step by step to get marked
Any whole number can be written as a fraction. All we do is place the number over 1.
For example, the whole number 7 is the same as the fraction 7/1.
If we wanted to multiply the whole number 7 with the fraction 2/3 then...
[tex]7 * \frac{2}{3}\\\\\frac{7}{1} * \frac{2}{3}\\\\\frac{7*2}{1*3}\\\\\frac{14}{3}\\\\[/tex]
In the jump from the second step to the third step, we multiply straight across. The numerators multiply together. The denominators multiply together. The fraction 14/3 cannot be reduced because 14 and 3 don't have any factors in common other than 1.
Classify the Triangle by its sides and angles. 140° Right Scalene Right Isosceles Equilateral Obtuse Isosceles Acute Isosceles Obtuse scate Acute Scalene
Answer: Obtuse Isosceles.
Explanation: Two angles are congruent, which means the triangle is isosceles. One angle is over 90°, which means the triangle is obtuse.