Answer:
a) What is the unit rate for inches per mile on this map?
= 5/4 inches per mile
b) If road B is 8 miles long, how long is road B on the map?
10 inches on the map
Step-by-step explanation:
a) A certain map shows two roads. Road A is 1 1/2 miles long but is 1 7/8 inches long on the map. What is the unit rate for inches per mile on this map?
Unit rate for inches per mile is calculated as:
1 7/8 inches/ 1 1/2 miles
= 15/8 / 3/2
= 15/8 × 2/3
= 5/4 inches per miles
b) If road B is 8 miles long, how long is road B on the map?
The unit rate is given as:
5/4 inches per miles
Hence,
Road B = 8 miles long
The length of Road B on the map =
5/4 inches per miles × 8 miles
= 10 inches
19 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio of new books to used books
Answer:
1:8
Step-by-step explanation:
You subtract 19 and 8, and you get 11 then you put them in ration form
Step-by-step explanation:
Expand: fx=x^4-blankx^3+blank x^2 + blank x- blank
(7,-20), (1,-3)
Find the slope of the line through each pair of points
Answer:
-17/6
Step-by-step explanation:
You find the slope by using the equation: y2-y1/x2-x1.
-20-(-3)/7-1
-20+3/6
-17/6
Calculate the sum.
10+ (-42)
O A. 52
O B. -32
O C. 32
D. -52
Answer:
B
Step-by-step explanation:
10 + (-42)
10 - 42
-32
dillon pays x dollars to get a haircut.he gives the stylist a 20% tip the expression representing his total cost is x + 0.2x
Answer:
[tex]y=x+0.2x[/tex]
Step-by-step explanation:
Step one:
given data
we are told that Dillon paid $x for a haircut.
and gave a tip of 20% of the amount he paid, this is expressed as
=20/100*x
=0.2x
Let the total amount he paid, that is haircut plus tip be y
the expression for the total amount is
[tex]y=x+0.2x[/tex]
here x represents the amount he paid
0.2 represents 20% of the haircut
help me please with this question
Answer:
see explanation
Step-by-step explanation:
2B + 3C
= 2 [tex]\left[\begin{array}{ccc}4&-5\\-2&1\\\end{array}\right][/tex] + 3 [tex]\left[\begin{array}{ccc}1&-1\\-6&3\\\end{array}\right][/tex]
Multiply each element in the matrices by the scalar quantity, that is
= [tex]\left[\begin{array}{ccc}8&-10\\-4&2\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}3&-3\\-18&9\\\end{array}\right][/tex]
Add corresponding elements from each matrix
= [tex]\left[\begin{array}{ccc}8+3&-10-3\\-4-18&2+9\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}11&-13\\-22&11\\\end{array}\right][/tex]
Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice. How much sparkling water does Jada need if she uses 8 coups of sparkling water.
Answer:
Step-by-step explanation:
2 cups of sparkling water with every 3 cups of apple juice = sparkling juice
Sparkling water : apple juice
2 : 3
How much sparkling water does Jada need if she uses 8 cups of apple juice.
Sparkling water : apple juice
x : 8
Equate both ratios
2 : 3 = x : 8
2/3 = x / 8
2*8 = 3*x
16 = 3x
x = 16 / 3
= 5.33 cups
Sparkling water = 5.33 cups
How much apple juice does Jada need if she uses 8 cups of sparkling water
Sparkling water : apple juice
8 : y
Equate both ratios
2 : 3 = 8 : y
2/3 = 8 / y
Cross product
2 * y = 3 * 8
2y = 24
y = 24 / 2
= 12
y = 12
Apple juice = 12 cups
NOTE: There is an error in your question, you wrote "How much sparkling water does Jada need if she uses 8 coups of sparkling water." but I solved for both sparkling water and apple juice using 8 cups since your question was not clear enough.
List a value of b that will cause 4x2 + bx + 25 = 0 to have one real solution
Answer:
20
Step-by-step explanation:
If you take (2x+5) (2x+5) = 0
then 4x^2 + 20x +25 = 0
Explain why the slope of the line drawn in part C must be negative.
because it is a negative line in the graph
En el siguiente diagrama, Midtown se encuentra exactamente a mitad de camino entre Uptown y Downtown. ¿Cuál es la distancia entre Midtown y Lower East Side?
A-2.6 km
B-1.5 km
C-2.1 km
D-90 grados
He ran 10 meters in 2.7 seconds. priya ran 10 meters in 2.4 seconds.
who ran faster? explain how u know
Answer:
The first person somehow
Step-by-step explanation: 10 divide by 2.7 is 3.7037037 and 10 divided by 2.4 is 4.16666667
24 POINTS.
(U also have to explain the reasoning you used to find the value of P)
9514 1404 393
Answer:
P = 70 +4x
Step-by-step explanation:
From your previous work with the parking lot, you know its area is ...
A = 560 +32x
The width of the parking lot extension is (52 -20 -24) = 8 yards, so its area is ...
extension area = 8P
We want the extension area to be equal to the original area so that adding the extension will double the area:
extension area = A
8P = 560 +32x
P = 70 +4x . . . . . . divide by 8
In the number 707B47.B is a prime number.If the number is rounder off to 3sf its value is 708000 what is the biggest value of B
The list of single digit primes is {2,3,5,7}. The largest prime is 7, so B = 7 is the largest possible value.
Also note how 707,747 rounds to 708,000 when rounding to 3 significant figures.
Evaluate -8 - 21.
-10
-16
16
10
Answer:
Evaluate -8 - 21.
-10
-16
16
10
PLEASE HELP ME :(
evaluate each expression
7-9
Answer:
7. 64
8. -100000
9. 729
Step-by-step explanation:
I did it on a calculator.
Bamboo Plant A is 1.2 meters tall and growing at a rate of 0.45 meter per day. Bamboo Plant B is 0.85 meter tall and growing 0.5 meter per day. After how many days will Plant B be taller than Plant A?
Answer:
7 days
Step-by-step explanation:
Bamboo plant A = 1.2 + 0.45d
Bamboo plant B = 0.85 + 0.5d
Where,
d = number of days
Equate the two growth
Bamboo plant A = Bamboo plant B
1.2 + 0.45d = 0.85 + 0.5d
Collect like terms
1.2 - 0.85 = 0.5d - 0.45d
0.35 = 0.05d
Divide both sides by 0.05
d = 0.35 / 0.05
d = 7 days
Plant B be taller than Plant A after 7 days
Ben is going to an amusement park with his scout troop. He has $80 in his wallet. If admission costs $18.95, a book of ride tickets costs $26.50, and lunch costs $9.20, round each amount to the nearest dollar to find out about how much Ben will have left to buy a souvenir. A. $15 B. $25 C. $32 D. $38
Answer:
B
Step-by-step explanation:
because thats what google say lol
The choir at wise middle school was preparing for their Hispanic concert. While rehearsing their opening song they noticed it took 48.7 seconds to sing it.They felt it was too long and sang it again taking off 2.9 seconds from the original time. The third time they sang it they were able to take an additional 0.47 seconds off their time. How long did it take the choir to sing the song the third time?
Answer:
45.88 seconds
Step-by-step explanation:
[tex]t_1[/tex] = Time taken to sing the fist time = [tex]48.7\ \text{s}[/tex]
Time taken to sing the second time was [tex]2.9\ \text{s}[/tex] less than the first time so
[tex]t_2=t_1-2.9\\\Rightarrow t_2=48.7-2.9\\\Rightarrow t_2=45.8\ \text{s}[/tex]
Time taken to sing the third time was [tex]0.47\ \text{s}[/tex] less than the the second time
[tex]t_3=t_2-0.47\\\Rightarrow t_3=45.8-0.47\\\Rightarrow t_3=45.88\ \text{s}[/tex]
So the time it took the choir to sing the third time was 45.88 seconds.
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream store for $8 per hour. Leah cannot work for more than 20 hours total per month for both jobs. Let x represent the number of hours Leah babysits and y represent the number of hours Leah works at the ice cream store. Which of the following graphs and system of inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours?
Answer:
its D
Step-by-step explanation:
5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Let x=babysitting hours paid at $5
y=ice cream shop hours paid at $8.
Total earned >120
total hours<20
So here is what our equations will look like:
5x+8y>120
x+y<20
Convert the first equation into y>mx+b format
8y>-5x+120
y>-5/8x+15
Convert the second equation into y>mx+b
x+y<20
y<-x+20
We can also solve this mathmatically by finding the point where our equations are equal:
-5/8x+15=-x+20
Add x to both sides to get:
3/8x+15=20
subtract 15 from both sides:
3/8x=5
divide both sides by 3/8:
x=13.33
The question asks us to round to the nearest whole hour, so the minimum she can babysit is 14 hours to still make $120 a week.
Hence, 5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
Pete wants to buy a new bike that costs $120 before any discount. Which offer should he choose to pay the least amount for the bike? Need help Please
A$30 coupon
B20% off and then a $10 rebate
C$20 coupon and then 10% off
D25% off
Answer:C I hope this helps
Step-by-step explanation:
Calculate the quotient
2/5 divided by 3 4/7
Pls help lol this is due tomorrow
Answer:
8/105
Step-by-step explanation:
Answer:
the answer is 14/125
Step-by-step explanation: do keep flip switch
2/5 stays the same change the mixed number into a fraction so the new fraction is 25/7 then flip 25/7 to 7/25 then multiply 2/5 by 7/25 and that give s u 14/125
hopefully this helps out
what’s is the slope?
Answer:
1/2
Step-by-step explanation:
(1,1) (2,3)
you have to do the difference of the x axis and y axis then divid them by each other
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 m to 20 m
HELP ME ILL MARK YOU !!
Answer:
3/5
Step-by-step explanation:
Which graph represents the equation y−3.6=1.6(x−1)?
show work, please!
Answer:
A
Step-by-step explanation:
kapa
If the ice cream truck sales 90 ice cream cones, how hot could you predict it was outside?
0 95
105
102
O
100
Answer:
It would most likely be in the 100's so maybe 105
Does anyone know what the answer is ?
Answer:
x intercept : -3,0 y intercept : 0,6
Review the graph of complex number z.
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (5, negative 5).
What is the polar form of z?
Answer:
It is D
Step-by-step explanation:
Looking at the Graph the point is at 5-5i
the only polar form that solves to 5-5i is D.
Also I did it on Edge.. Good Luck!
The complex number z represented on the graph (5, -5) is given as 5√2[cos(-π/4) + isin(-π/4)] in polar form
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the complex number z represented on the graph as (5, -5). Therefore:
r = √(5² + 5²) = 5√2
Ф = tan⁻¹(-5/5) = -π/4
The complex number z represented on the graph (5, -5) is given as 5√2[cos(-π/4) + isin(-π/4)] in polar form
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2
Raymond bought a book that cost C = 1.065x after sales tax. How could he rewrite the cost equation to emphasize the base price of the book and the amount he paid in tax? C= x + 0.065 A B. C= x + 0.065x с C=1+ 0.065 D C=1+ 0.0652
Answer:
C
Step-by-step explanation:
Which system of equations is represented by this graph?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = 2x + 3[/tex]
[tex]y = - \frac{1}{2} x - 3 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The product of a number and negative 7/10 is 1/2 what is the number
Answer:
5/7
Step-by-step explanation
The product of a number and negative 7/10 is 1/2 can be written as 1/2=(7/10)x, with this equation, multiply by the reciprocal, 10/7, to make the right side of the equation just x. On the left side, multiply 1/2 by 10/7 because when you do something on one side, you must do it on the other. 1/2 times 10/7 equals 5/7. Leaving you with x=5/7