Answer:
The speed in the first part is 16 mph.
Step by step explanation:
The total distance is 48 miles. The total time is 4 hours.
In the second part of the trip, he was traveling at speed s for distance d for 2 hours.
In the first part of the trip he was traveling
at twice the speed, or 2s, for distance 48 - d, for 2 hours.
speed = distance/time
distance = speed * time
First part of trip:
48 - d = 2s * 2
d + 4s = 48 Equation 1
Second part of the trip:
d = s * 2
d = 2s =
Equation 2
Equations 1 and 2 form a system of equations in two unknowns, d and s.
d + 4s = 48
d = 2s
Substitute 2s for d in equation 1.
2s + 4s = 48
6s = 48 =
s=8
The speed in the second part is 8 mph.
The speed in the first part is 2s = 2(8) =
16.
The speed in the first part is 16 mph.
Check:
d = 2s = 2(8) = 16
48 - d = 48 - 16 = 32
The second part is 16 miles. The first part is 32 miles.
16 miles at 8 mph takes 2 hours.
32 miles at 16 mph takes 2 hours.
2 hours + 2 hours = 4 hours.
Our answer is correct.
Answer: The speed in the first part is 16 mph.
At a computer store, the package of the DVDs sell for $15 each. One customer buys $120 worth of the DVDs.
Write an equation to model the number of the packages of the DVDs the customer bought, and then solve the equation. Plus, I need help with question number 9. A and B of Solve Simple Equation Word Problem will be marked as brainliest if your answer fully completed with complete step-by-step explanation! :)
Answer:
The customer bought 8 DVDs for $120.00
Step-by-step explanation:
120*15=8 DVDS or as a ratio 8:1
Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get through 3 shirts per hour. In addition, the tailors had previously finished some shirts. Valentina has already completed 15 shirts, and Laura has completed 11 shirts. Valentina and Laura decide to take a break when they have finished the same total number of shirts. How many shirts, in total, will each tailor have finished? How long will that take?
Answer:
Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.
Total number of shirts finished by Valentina [tex]=23[/tex]
Total number of shirts finished by Laura [tex]=23[/tex]
Step-by-step explanation:
Suppose that Valentina and Laura finished the same total number of shirts in [tex]t[/tex] hours.
Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.
Total number of shirts finished by Valentina [tex]=2t+15[/tex]
Laura can get through 3 shirts per hour and Laura has completed 11 shirts.
Total number of shirts finished by Laura [tex]=3t+11[/tex]
Therefore,
[tex]2t+15=3t+11\\3t-2t=15-11\\t=4[/tex]
So,
Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.
Total number of shirts finished by Valentina [tex]=2(4)+15=8+15=23[/tex]
Total number of shirts finished by Laura [tex]=3(4)+11=12+11=23[/tex]
PLS ANSWER BOTH PARTS FOR BRAINLIEST ANSWER !!
Chelsea is training for a race. From last month to this month, she decreased her average pace in minutes per mile by 12%. Write two different equations to epresent the relationship between p, Chelsea's average
pace last month, and n, Chelsea's new average pace.
Last month, Chelsea ran at an average pace of 7.5 minutes per mile. On average, how long, in minutes,
does it take Chelsea to run one mile this month?
in a box there are three types of chocolates
there are 6 plain chocs
8 milk chocs
10 white chocs
ben takes at random a choc from the box
a) what is the probability that ben takes a plain choc ?
Answer:
25% , 6/24 , .25
Step-by-step explanation:
The total number of chocolates in the box are 24 and the number of plain chocolates is 6. 6/24 is .25 in decimal and 25% in percentage
A drawing of a rectangular room has dimensions of 12 inches by 6 inches. If the scale is 2 inches : 4 feet, find the area of the actual room.
Answer: 288 feet
Step-by-step explanation:
Length of drawing = 12 inches
Actual length = 12 × (4/2)feet = 24 feet
Width if the drawing = 6 inches
Actual width = 6 × (4/2)feet = 12 feet
The area of the actual room will be gotten by multiplying the dimensions. This will be:
= 24 feet × 12 feet
= 288 feet
Sharon correctly answered 21 out of 24 questions on a math quiz. Which is this ratio as a decimal?
0.625
0.667
0.840
0.875
pls help♡
Answer:
0.875
Step-by-step explanation:
To find the decimal, you divide the 21 by the 24.
21/24 = 0.875
Median of 40,2,31,15,29,16 and X is 21. then X= ?
Answer:
Let us arrange this data in ascending order.
2, 15, 16, 29, 31, 40.
x has to be in the middle if it is the median.
So it becomes 2, 15, 16, x, 29, 31, 40.
There are seven numbers. The median is the 4th one.
The median is given as 21.
So x = 21.
HOPE IT HELPS YOU, PLS MARK IT AS THE BRAINLIEST :D
help me pleaseeeeeeeeeeee
Answer:
3.643 X 10 -1
Step-by-step explanation:
Answer:
3.643 × 10 ^− 1
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
3.643 × 10 ^− 1
Which expression is equivalent to 4(7c+3)+5?
11c+7+5
28c+7+5
28c+12+5
28c+12+20
Answer:
28c+12+5
Step-by-step explanation:
taking 4 common in 28c-12 then,
28c+12+5=4(7c+3)+5
Answer:
28c+12+5
Step-by-step explanation:
4(7c+3)+5
i) distribute 4 into the parentheses
(4×7c)+(4×3)+5
= 28c+12+5
-2x-8=-6x÷4 please show me the steps
Simplify the Expression(20 points)-
-m - 7m
Answer:
-8m
Step-by-step explanation:
Combine like terms
−
−
7
{\color{#c92786}{-m}}{\color{#c92786}{-7m}}
−m−7m
−
8
{\color{#c92786}{-8m}}
−8m
Which values are closer to 0 than -2 is? Is this set of values different from the set of values less than -2? Why?
Answer:
-1 is the only value that is closer to 0 than -2.
Step-by-step explanation:
If m∠13=2x-3 and m∠15=71°, find the value of x.
Show work please
Here ∠13 & ∠15 are corresponding angles , so they are equal [ ∠13 = ∠15 ]
As per the question ,
⇒ 2x - 3 = 71°
⇒ 2x = 71 + 3
⇒ 2x = 74
⇒ x = 74 ÷ 2
⇒ x = 37
Hence , x = 37
someone answer please:)
I think its saying to find out what “b” means
Answer:
5 kdkdjdnndndjdjdjdjd
what does 3 ^ 07 equal
Answer:
2187
Step-by-step explanation:
you multply 3 7 times
Answer: math......way
City Bank offers a 4.75% simple
interest rate, while First National
offers 3.9%. If Tom wants to set
up a new account with $500. how
much more money will he earn in
Interest at City Bank over First
National after 12 years?
Answer:
He will earn $51 more
Step-by-step explanation:
Let us compare the amounts he will earn in both banks
Mathematically, simple interest is;
I = PRT/100
Where P represents principal, R represents rate and T represents time
For Citibank, we have
I = (500 * 4.75 * 12)/100 = $285
For National bank
I = (500 * 3.9 * 12)/100 = 234
The difference between the amount of money earned in both banks will be;
285-234 = 51
Select all of the statements that are true for the given parabola.
Answer:
A and B are true
Step-by-step explanation:
The minimum is the turning point on the graph and occurs at (1, - 2)
The x- intercepts are where the graph crosses the x- axis , that is at
x = - 1 and x = 3 or in coordinate form (- 1, 0 ) and (3, 0 )
The equation of the axis of symmetry is a vertical line passing through (1, - 2)
with equation x = 1
The true statements are A and B
Answer:
⇨ A and B choice
Step-by-step explanation:
⟺ Consider all choices.
⥱ Choice A is correct because It's upward Parabola ( a > 0) where there is only the minimum point/value. The minimum point is at (1,-2). The vertex for upward parabola can be called the minimum point.
⥱ Choice B is correct because the Parabola intercepts x-axis at (-1,0) and (3,0) from the graph.
⥱ Choice C is wrong because the Axis of Symmetry is supposed to be x-term/value for the Parabola. If it is the y-value/term then it would be Side Parabola.
⥱ Choice D is wrong because an upward Parabola doesn't have the maximum point. The only Parabola with maximum point is downward Parabola ( a < 0)
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
Definition of Vertical Angles state that vertically opposite angles are equal; 1=2( vertically opposite angles are equal)
Thank you. Hop I was of help.
Louisa has a goal of collecting 100 pounds of dog food for a local shelter. She records how many pounds of food she collects each week. Week Pounds Collected 1 20.5 2 18 and three-fourths 3 32.75 How many more pounds of dog food does Louisa need to reach her goal? 18 27 28 72
Given:
Louisa has a goal of collecting 100 pounds of dog food for a local shelter.
The table of values which represents the number of pounds of food she collects each week.
To find:
The number of more pounds of dog food Louisa need to reach her goal.
Solution:
For first week = 20.5 pounds
For second week = [tex]18\dfrac{3}{4}=18.75[/tex]
For third week = 32.75
Now,
[tex]\text{Remaining pounds of dog food Louisa needs}=100-(20.5+18.75+32.75)[/tex]
[tex]\text{Remaining pounds of dog food Louisa needs}=100-72[/tex]
[tex]\text{Remaining pounds of dog food Louisa needs}=28\text{ Pounds}[/tex]
Therefore, the correct option is C.
(X+5)/2 = (2x-1)/3 what’s x?
Answer:
x= 3x=17/4
Step-by-step explanation:
ACe
medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 119 pounds requires 136 milligrams of medicine.
What is the weight of a patient who requires 200 milligrams of medicine?
Answer:
weight of the patient = 175 pounds
Step-by-step explanation:
Patient body weight : medicine
119 : 136
What is the weight of a patient who requires 200 milligrams of medicine?
Let
Patient body weight = x
Patient body weight : medicine
x : 200
Equate both proportions
119 : 136 = x : 200
119 / 136 = x / 200
Cross product
119 * 200 = 136 * x
23,800 = 136x
x = 23,800 / 136
= 175
x = 175 pounds
solve the equation 14m-7m=-56
Answer:
m=-8
Step-by-step explanation:
14m-7m=-56
7m=-56
m=-8
i think... :)
Answer:
m=-8
Step-by-step explanation:
14m-7m= -56 -----> Combine like terms
7m=-56 ------> Divide -56 by 7
m= -8
what is the difference between the 11th square number and the 4th square number?
Answer:1 squared 1
2 squared 4
3 squared 9
4 squared 16
5 squared 25
6 squared 36
7 squared 49
8 squared 64
9 squared 81
10 squared 100
11 squared 121
12 squared 144
13 squared 169
14 squared 196
15 squared 225
16 squared 256
17 squared 289
18 squared 324
19 squared 361
20 squared 400
Step-by-step explanation:
dude just search it up
Answer:
105
Step-by-step explanation:
The 11 th square number is 11² = 121
The 4 th square number is 4² = 16
Their difference is 121 - 16 = 105
75 POINTS!WILL MARK BRAINLIEST
m(x) = 2xto the 2nd power+3x-5
m(-2)=-19 right?
Answer:
Yes
Step-by-step explanation:
Answer:
2mx³+3x−5
Step-by-step explanation:
Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10
Answer:
−4x^3+12
Step-by-step explanation:
2+3x^3-7x^3+10
simplify this
−4x3+12
I need help finding the circled ones
#12 is 17, #3 is 59, #8 is 28, #22 is 78, #32 is 90, #10 is 59, #21 is 26
At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time on a nearby track, Eduardo’s train was traveling at an average speed of 110 miles per hour and had 12 miles to go before it reached the egg farm. To the nearest hundredth of an hour, after how much time will the trains meet up? 0.11 hours 0.25 hours 0.88 hours 1.84 hours
Answer:
1.84
Step-by-step explanation:
Answer:
You answer would be 1.84
Step-by-step explanation:
A picture frame can hold a photograph that is 16 inches long and 12 inches wide.
What is the area of the photo that fits the frame?
56 square
1) 162 square
) 192 square
28 square
inches
inches
inches
inches
Here is a list of ages (years) of children in a room
8,7,5,4,7,7,2
State the median
Answer:7
Step-by-step explanation:
To find the median you need to first put the number in order from least to greatest this would be 2, 4 ,5, 7, 7, 7, 8
next you have to find the number in the middle
That is your median, 7 is your median.
Question in the photo
Need an answer asap!
Answer:
25 = y
Step-by-step explanation:
We know that x = 4/5 y
20 = 4/5 y
Multiply each side by 5/4
5/4 * 20 = 5/4 * 4/5 y
25 = y