Answer: 40 mph
Step-by-step explanation: let s = speed in traffic
(s+17) = out of traffic
:
Write a time equation; time = dist/speed
traffic time + normal speed time = 4 hrs
46%2Fs + 80%2F%28%28s%2B17%29%29 = 4
multiply by s(s+17) to cancel the denominators
46(s+17) + 80s = 4s(s+17)
46s + 782 + 80s = 4s^2 + 68s
126s + 782 = 4s^2 + 68s
Arrange as a quadratic equation on the right
2s^2 - 29s - 391 = 0
Use the quadratic formula a=2; b=-29; c=-391
I got a positive solution of
s = 23 mph in traffic
:
:
:
Check this by finding the actual times. Normal speed: 23 + 17 = 40 mph
46/23 = 2 hrs in traffic
80/40 = 2 hrs at normal speed
----------------------------
total time 4 hrs
0 = 4s^2 + 68s - 126s - 782
4s^2 - 58s - 782 = 0
simplify, divide by 2
so the answer is 40mph
These algebraic expressions are not equivalent. Explain
why they are not equivalent.
+ 8x – x2 - 6x
2x² – 2x
x2-1 + 8x
Answer:
If you simplify the first expression, you will not get the second expression. In the first expression, the x2 terms have coefficients of 1 and –1 and, when combined, the result is 0. Also, the x terms have coefficients of 8 and –6 and, when combined, the result is 2. Finally, the constant from the first expression is not in the second expression.
Step-by-step explanation:
You have $9.33. You buy 7 items that cost $0.87 each. How much money do you have left?
Answer:
$3.24
Step-by-step explanation:
0.87 x 7 = 6.09
9.33 - 6.09 = 3.24
2 – 3m < 4 + 5m
A.
m<−14
B.
m>14
C.
m>−14
Answer:
this answer will be in your book
-8x + 40 greater than -16
Answer:
x > 7
Step-by-step explanation:
First, you start off with :
-8x + 40 > -16
Then you subtract 40 on both sides.
You get -8x > -56.
Next, you divide -8 on both sides. Cancel out the -8/-8.
After dividing, you have x > 7
Therefore the answer is x > 7!
If you have a question comment it.
Answer:x<7
Step-by-step explanation:
Calculate it on Google
Write a recursive formula for the sequence 9, 6, 3, 0, … Then find the next term.
Answer:
f[1] = 9; f[n] = f[n-1] -3-3Step-by-step explanation:
The first term is 9, so f[1] = 9.
Each term is 3 less than the one before, so f[n] = f[n-1] -3.
Three less than the last term shown is ...
0 -3 = -3
__
The recursive formula is ...
f[1] = 9f[n] = f[n-1] -3The next term is -3.
Which explains how to show that x= -8/3 is a root of 9x^2+48x+64= 0 ?
Step-by-step explanation:
[tex]9 {( - \frac{8}{3}) }^{} {}^{2} + 48( - \frac{8}{3} ) + 64 \\ \\ 9( - \frac{64}{9} ) - \frac{48}{3} + 64 \\ \\ - 64 - 16 + 64 = - 16[/tex]
Noah is running a portion of a marathon at a constant speed of 6 miles per hour. Make a table to predict how long it would take him to run different distances at that speed, and how far he would run in different time intervals. Use decimal notation.
What are the steps to substract a negative fraction from a positive decimals
Answer:
Turn the negative fraction into a decimal
Step-by-step explanation:
example:
-1/2=-0.5
Answer:
Subtract the absolute value of the decimal.
Add the negative number to the positive number.
Add the opposite of the negative number to the positive number.
Step-by-step explanation:
hope this helped </3
Pina filled out the following information on the back of her monthly statement:
Ending balance from statement $1,139.78
Deposits outstanding
+ $280.67
Total of checks outstanding
- $656.91
Revised statement balance
Balance from checkbook
$763.54
Find Pina's revised statement balance. Does her account reconcile?
Answer:
yes
Step-by-step explanation:
It is true that Pina's account reconciles.
The monthly statement is given as:
Ending balance from statement $1,139.78 Deposits outstanding + $280.67 Total of checks outstanding - $656.91 Revised statement balance $ Balance from checkbook $763.54Start by calculating the revised statement at the end of the month.
This is calculated using:
[tex]Revised = Ending\ Balance + Deposit\ Outstanding - Checks\ Outstanding[/tex]
So, we have:
[tex]Revised = \$1139.78 + \$280.67 - \$656.91[/tex]
Evaluate the expression
[tex]Revised = \$763.54[/tex]
By comparison, the revised statement equals the balance from the checkbook.
Hence, we can conclude that her account reconciles.
Read more about checkbooks at:
https://brainly.com/question/11482534
if n is 24 what is n
Answer:
n is 24
Step-by-step explanation:
If n is 24, then n has to be 24
“CAN”
PLACE VALUE
How does the 5 in the tens place
compare to the 5 in the ones place?
3,055
Answer:
The 5 in the tens place is 10 times greater than the 5 in the ones place
Step-by-step explanation:
You can do 5*10 witch would get you 50 and 50 is 10 times greater than 5.
Answer:
it has 10 times the value
Step-by-step explanation:
5 in the tens place is worth 5 tens, or 50
5 in the ones place is worth 5 ones, or 5
50 is 10 times 5.
The 5 in the tens place has 10 times the value of the 5 in the ones place.
You buy butter for $3 a pound one portion of onion compote requires 1.6 oz of butter how much does the butter for one portion cost?
Answer:
.30
Step-by-step explanation:
Purchase Cost = Cost per Portion x Portion Per Purchase
16 oz=1lb
Simplify –(x + 5) + 3x
translate the problem into a mathematical sentence using e as your variable name.
roy bought 16 CDs in December. of those, 7 were world music the rest were electronic music. how many electronic music discs did he buy?
Answer:
9Step-by-step explanation:
Total CD's = 16World music = 7Electronic music = eThe expression and solution:
7 + e = 16e = 16 - 7e = 9Roy bought 9 electronic music discs
How to round 13294 to the nearest ten,to the nearest hundred, to the nearest thousand and to the nearest ten thousand
Answer:
Ten, 13290 Hundred, 13300 Thousand, 13000 Ten Thousand, 10000
Step-by-step explanation: If the number to the right of the number you are rounding lets say 6969 in the tens place 6, to the right of that six is a nine which is larger than 5 (when rounding if a number is 5 and up you round it up if its 4 and lower let it stay the same) so it would be 6970 because everything to the right of it as including the number you are rounding it up/down because of it turs to a zero
Jay bought a laptopcomputer on sale
for 15% off the original price. If he paid
$170, what was the price of the laptop
computer before the sale?
Answer:
$200
Step-by-step explanation:
%15 = 0.15
0.15 • 200 = 30
200 - 30 = 170
whats the answer? to this
Answer:
x=2 y=5
Step-by-step explanation:
will mark brainliest, a THX, friend request, and will rate ur answer
Answer:
35/4
Step-by-step explanation:
8 × 4 = 3232 + 3 = 35Write 35 over the original denominator: 35/4I hope this helps!
Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an installation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job. Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?
Assume that a procedure yields a binomial distribution with a trial repeated
n=5 times. Use some form of technology to find the probability distribution given the probability p=0.156 of success on a single trial.
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
n = 5, p = 0.156, and q = 0.844.
r = 0, P = ₅C₀ (0.156)⁰ (0.844)⁵⁻⁰ = 0.428
r = 1, P = ₅C₁ (0.156)¹ (0.844)⁵⁻¹ = 0.396
r = 2, P = ₅C₂ (0.156)² (0.844)⁵⁻² = 0.146
r = 3, P = ₅C₃ (0.156)³ (0.844)⁵⁻³ = 0.027
r = 4, P = ₅C₄ (0.156)⁴ (0.844)⁵⁻⁴ = 0.002
r = 5, P = ₅C₅ (0.156)⁵ (0.844)⁵⁻⁵ ≈ 0
5(x-6)+3x=.75(2x-8)
solve.
Answer:
Step-by-step explanation:
5(x-6)+3x=.75(2x-8)
5x - 30 + 3x = 1.5x - 6
6.5x = 24
x = 3.7
Complete the proof
Pleassseeee
Answer:
it's ASA because you have 2 angles congruent and a side congruent.
Simplify 3y – 5(y + 2)
Step-by-step explanation:
Hey there!
Given; 3y - 5(y+2).
Multiply 5 and (y+2)
3y - 5y - 10
Simplify to get answer.
-2y -10
Take 2 and (-) common.
-2(y+5)
Therefore, the simplified form is -2(y+5).
Hope it helps...
Answer:
Step-by-step explanation:
3y - 5 ( y + 2)
= 3y - 5y - 2
= -2y -2
Find the midpoint of the segment with the following endpoints.
(-6, 4) and (-1,-6)
Answer:
(−7 / 2, −1)
Step-by-step explanation:
The fee to rent a hall for a wedding is $1450 plus $50 per hour. For how many hours can it be rented forband stay within a budget of $2100?
what is the slope of the line that passes through the points (-3,1) and (7,-14)
Answer:
[tex] - \frac{3}{2} [/tex]
Step-by-step explanation:
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
Using the formula above,
slope of line
[tex] = \frac{1 - ( - 14)}{ - 3 - 7} \\ = \frac{1 + 14}{ - 10} \\ = \frac{15}{ - 10} \\ = - \frac{3}{2} [/tex]
y and z are whole numbers.
y< 70
Z<_60
Work out the largest possible value of y + z
Answer:
1
Step-by-step explanation:
Eight friends divide seven bags of apples equally between them. Enter the division represented by this situation as a fraction.
Answer:
THERE
Step-by-step explanation:
Answer:
Step-by-step explanation:
let's name the bag of apples "[tex]x[/tex]"
they have 7 bags of apples: 7[tex]x[/tex]
then they need to divide it among 8 people: so each person gets [tex]\frac{7x}{5}[/tex] or [tex]\frac{3}{5} x[/tex]
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements. *
5 points
Segment EF is twice as long as segment AB.
Segment CD is twice as long as segment FG.
The measure of angle HEF is twice the measure of angle DAB.
The length of segment EH is 16 units.
The area of EFGH is twice the area of ABCD.
Answer:
✔️Segment EF is twice as long as segment AB
✔️The length of segment EH is 16 units.
Step-by-step explanation:
Since quadrilateral ABCD is scaled to form quadrilateral EFGH, both are similar polygon.
Therefore: scale factor = ratio of any of their corresponding side
Scale factor = GH/CD = 12/6 = 2
This means quadrilateral EFGH is twice the size of quadrilateral ABCD.
The shape of the original polygon remains the same while the size increases.
This implies that, all segments of quadrilateral ABCD increases proportionally times 2 to give us corresponding lengths of the segments of quadrilateral EFGH.
Since shape remains the same, their corresponding angles are congruent and the same in measure.
Therefore, the following statements are true and correct:
✔️Segment EF is twice as long as segment AB
(EF = AB*scale factor = 3*2 = 6)
✔️The length of segment EH is 16 units.
(EH = AD*scale factor = 8*2 = 16)
Answer:
akposevictor
Genius
4.9K answers
8.4M people helped
Answer:
✔️Segment EF is twice as long as segment AB
✔️The length of segment EH is 16 units.
Step-by-step explanation:
Since quadrilateral ABCD is scaled to form quadrilateral EFGH, both are similar polygon.
Therefore: scale factor = ratio of any of their corresponding side
Scale factor = GH/CD = 12/6 = 2
This means quadrilateral EFGH is twice the size of quadrilateral ABCD.
The shape of the original polygon remains the same while the size increases.
This implies that, all segments of quadrilateral ABCD increases proportionally times 2 to give us corresponding lengths of the segments of quadrilateral EFGH.
Since shape remains the same, their corresponding angles are congruent and the same in measure.
Therefore, the following statements are true and correct:
✔️Segment EF is twice as long as segment AB
(EF = AB*scale factor = 3*2 = 6)
✔️The length of segment EH is 16 units.
(EH = AD*scale factor = 8*2 = 16)
shoutout to akposevictor he helped me get 100 so yea
Step-by-step explanation:
A square piece of fabric has a length of 2.9 cm find the area of the piece of fabric
Answer:
8.41
Step-by-step explanation:
