Kaley's family drove to DisneyLand for spring break. Her mom and dad shared the driving duties for a total of 24 hours. Her mom drove 75 miles per hour, and her dad drove 60 miles per hour. If they drove a total of 1,710 miles, how many hours did each person drive for?
Answer:
Mom drove for 18 hours.
Dad drove for 6 hours.
Step-by-step explanation:
Given that:
Number of hours for the driving duty = 24 hours
Speed at which the mom drove = 75 miles per hour
Speed at which the dad drove = 60 miles per hour
Total distance driven by both of them = 1710 miles
To find:
Number of hours for which each person drive for ?
Solution:
Let number of hours driven by dad = [tex]x[/tex] hours
Let number of hours driven by mom = (24 - [tex]x[/tex]) hours
Let us have a look at the formula for Distance in terms of Speed and Time.
[tex]Distance = Speed \times Time[/tex]
Distance traveled by Mom = [tex]75 \times x =75x \ miles[/tex]
Distance traveled by dad = [tex]60(24-x) =144-60x[/tex] miles
As per question statement:
[tex]75x+1440-60x=1710\\\Rightarrow 15x=1710-1440\\\Rightarrow 15x = 270\\\Rightarrow x = 18\ hours[/tex]
So, Mom drove for 18 hours.
Dad drove for 6 hours.
A customer at a store paid $42 for 4 pairs of pants and 3 shirts. At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts. The price of each pair of pants is the same, and the price of each shirt is the same. Which system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y?
Answer:
The system of Equations:
4x + 3y = 42
x + 7y = 44
Step-by-step explanation:
Let the price in dollars of
each pair of pants = x
each shirt = y
A customer at a store paid $42 for 4 pairs of pants and 3 shirts.
Hence:
4 × x + 3 × y = $42
4x + 3y = 42
At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts.
This means he, paid $42 +$2 = $44
Hence:
1 × x + 7 × y = 44
x + 7y = 44
The system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y is
4x + 3y = 42.... Equation 1
x + 7y = 44..... Equation 2
Did I plot these coordinates right? If so, are they congruent?
Determine the intercepts of the line.
y-intercept: (___, ___)
x-intercept: (___,___)
Please answer in under 15 minutes~!
Graph the function p(x)=1/3|x|
Explain how you got the answer.
3) Given the quadratic equation -x2 +3x -7=0, determine a, b, and c values.
a=
b=
c=
Answer:
a= -1
b= 3
c= -7
The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.
Step-by-step explanation:
What is the perimeter of rectangle TUVW?
Perimeter = ... Units
Answer:
24
Step-by-step explanation:
w=7
l=5
7+7+5+5=24
A survey of 2380 golfers showed that 366 of them are left-handed. Find a point estimate for p, the population proportion of golfers that are left-handed.
Answer:
The point estimate is 366/2380
Step-by-step explanation:
Here. we want to find a point estimate for the number of golfers that are left-handed
To get this, we simply divide the number of left-handed golfers by the number of golfers surveyed
Mathematically, this will be 366/2380
PLEASE HELP IM TIMED!
Answer:
B
Step-by-step explanation:
Can someone pls help me!!!
Answer:
10 i believe
Step-by-step explanation:
Ill give brainliest just please hurry :)
Which of the following is a linear function?
A. y = x3 + 1
B. 5/6 = y − 4
C. y = 8x2
D. y = 1/5x
Find the arc length on a circle with radius =4 inches and central angle of 30°
Answer:
Step-by-step explanation:
I'm assuming you're not doing the pre-calculus version of this equation where your angle is in radians. So we'll do the Geometry version which looks like this:
[tex]AL=\frac{\theta}{360}*2\pi r[/tex]
Our angle is 30 and our radius is 4, so we fill in accordingly:
[tex]AL=\frac{30}{360}*2(3.1415)(4)[/tex] (this is if you multiply in pi. We'll find the answer in terms of pi as well).
AL = [tex]\frac{1}{12}*25.132[/tex] and
AL = 2.09433 inches
In terms of pi, the answer would be
AL = [tex]\frac{2}{3}\pi[/tex] inches
196 divided by 3.5 show your work
The value of 196 ÷ 3.5 is 56
What is division?Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division. The main goal of dividing is to see how many equal groups are formed or how many are in each group when sharing fairly.
For example, if 50 apples are to be shared by 5 people , the number of apples allocated bto a person is 50/5 = 10 apples
196/3.5
to solve the we can multiply the numerator and denominator by 10 to make all whole number
= 1960/35
we can now simplify
divide through by 5
392/7
divide through by 7
= 56
therefore the value of 196/3.5 is 56
learn more about division from
https://brainly.com/question/25289437
#SPJ1
3. Solve the equation.
3(3 - 3x) = 2(x + 3) - 30
a. X= 7
b. x= 3
C. X=-7
d. x=-3
Help
Answer:
free points thx
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Hope this helps and have a nice day :)
MORE EASY POINTS FOR Y'ALL
Answer:
False
Step-by-step explanation:
There are 2 y values for 6 and 12. A function only has one for each x value.
Hope I helped!!!!
5^4+4^5 please please pleaseee need it ASAP for missing assignments
Answer: 1649
Step-by-step explanation:
Answer:
1649
5×5×5×5 + 4×4×4×4×4
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM RQ!!!
Answer:
NO
jk, jk, it's B
Step-by-step explanation:
pls help!!!
A diagram using arrows to show how to get from one statement to the next is called a _________.
Step-by-step explanation:
an arrows digram also known as an activity networkchart he
Answer:
auxiliary line
Step-by-step explanation:
find the slope of a line that passes through the points (-4,3) and (7,5)
Answer:
2/11
Step-by-step explanation:
5-3/7--4 = 2/11
1 of 6
The following list shows how many brothers and sisters some students have:
2, 4, 3, 3, 4, 2, 4, 3, 3, 2, 3, 4
State the mode.
>
It's too short. Write at least 20 characters to explain it well.
Please answer this please will give Brainliest
Answer:
y=1/3x+2
Step-by-step explanation:
ASAP help me with this question
the equation of the line is y = 3x - 5
Answer:
WOOF WOOF
Step-by-step explanation:
i love getting extra points :)
What’s the midpoint of the segment with the followin
(-9,-5) and (-1,-9)?
Answer:
((-9+-1)\2 ,(-5+-9)\2)
(-5 , -7)
Answer:
[tex](-5,-7)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point (-9, -5)
Point (-1, -9)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute [MF]: [tex](\frac{-9-1}{2},\frac{-5-9}{2})[/tex]Subtract: [tex](\frac{-10}{2},\frac{-14}{2})[/tex]Divide: [tex](-5,-7)[/tex]
A bag contains 5 cherry, 8 orange, 2 grape, 7 bubblegum, and 3 apple
lollipops. What is the probability of choosing grape for your first lollipop
and orange for your second? (if you ARE replacing it) *
1/75
2/75
10/625
16/625
Answer:
16/625
Step-by-step explanation:
Step one:
sample space
A bag contains
5 cherry,
8 orange,
2 grape,
7 bubblegum, and
3 apple lollipops.
sample size= 5+8+2+7+3= 25
Required:
The probability of choosing grape for your first lollipop
and orange for your second?
1. The probability of choosing the grapes lollipops
=2/25
2. the probability of choosing the orange lollipops----Note in the second choice the sample size will reduce because the first choice was done with out a replacement
=8/24
The total is
2/25*8/25= 16/625
What is Bethany's score on the test if she got 23 out of 30 right? (Round to the nearest whole number.)
Answer:
77%
Step-by-step explanation:
23 divided by 30 is 0.766666, which percent-wise is rounded to 77% :)
Answer:
77%
Step-by-step explanation:
30 was 100%
23 is x%
x=23*100/30 = 76.666.. rounded to 77%
Find the sale price of the item. Round to the nearest cent if necessary. Original price: $75.00 Markdown: 34% The sale price is, in dollars, is $
Find the Midpoint of the coordinates (-1,4) and (5,7)
Answer:
[tex](2,\frac{11}{2})[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Endpoint (-1, 4)
Endpoint (5, 7)
Step 2: Find midpoint
Substitute: [tex](\frac{-1+5}{2},\frac{4+7}{2})[/tex]Add: [tex](\frac{4}{2},\frac{11}{2})[/tex]Divide: [tex](2,\frac{11}{2})[/tex]Answer:
(2 , 5.5)
Step-by-step explanation:
Use the midpoint formula
Use the figure to answer the question.
10 in.
3 in.
What is the area of the shaded portion to the nearest hundredth? Enter the answer in the box.
Find the value of x.
105°
(10x – 5)
Answer:
525o • (2x - 1)
Step-by-step explanation:
PLEASE HELP ME I WILL MARK U AS THE BRAINIEST ANSWER!
Answer:
(21, 8)
(3, 2)
(-15, -4)
Step-by-step explanation:
First we need to create the equation in y=mx +b form.
(m) is slope [rise/run]
(b) is y intercept
The line crosses the y axis at (0,1) so that's our (b) and to find slope we will find a point where ethe line crosses a point, I'll use (0, 1) and see how many it has to go to reach the next point. In this case it has to go up 1, and right 3.
Our slope is 1/3.
y=1/3x+1.
Now we can start applying the given points.
(21, 8)
8=1/3(21)+1
8=7+1
8=8.
(21, 8) is a solution.
(3, 2)
2=1/3(3)+1
2=1+1
2=2
(3, 2) is a solution.
(-15, -4)
-4=1/3(-15)+1
-4=-5+1
-4=-4
(-15, -4) is a solution.
(12, 9)
9=1/3(12)+1
9=4+1
9=5
(12, 9) is not a solution.
(-6, 1)
1=1/3(-6)+1
1=-2+1
1=-1
(-6, 1) is not a solution.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!