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.
HELP PLEASEEE
If ABCD is a parallelogram, identify the two pairs of congruent segments.
Here are 5 lines on a coordinate grid:
Write equations for lines a,b,c,d and e
a:
b:
c:
d:
e:
Answer/Step-by-step explanation:
✔️Equation for line a:
Line a is a vertical line, hence, the slope is undefined. Equation of a vertical line is given as x = k. Where k is the x-intercept and would remain the same irrespective of the corresponding y-coordinates of all the other points on the vertical line.
In line a, the x-intercept is -4. Therefore, the equation for line a would be:
✅ x = -4
✔️Equation for line b:
Line b is also a vertical line, and would be represented as x = k.
The value of k is the point olwhere the line intercepts the x-axis.
Thus, k = 4.
Equation for line b would be:
✅ x = 4
✔️Equation for line c:
Line c is an horizontal line. Slope (m) of a horizontal line is always 0.
It can be represented in slope-intercept form, y = mx + b, where,
m = slope = 0
b = y-intercept = 4 (this is where the y-axis is intercepted by the line)
Thus, substitute m = 0, b = 4 in y = mx + b.
The equation for line c would be:
y = (0)(x) + 4
✅y = 4
✔️Equation for line d:
Slope (m) = 0
y-intercept (b) = -2
Substitute m = 0, and b = -2 in y = mx + b
Equation for line d awould be:
y = -2
✔️Equation for line e:
Slope (m) = [tex] \frac{rise}{run} = -\frac{3}{4} [/tex]
y-intercept (b) = 1
Substitute m = -¾, and b = 1 in y = mx + b
Equation for line e would be:
✅y = -¾x + 1
b) 5z - 1
when z = 6
2
Answer:
309
Step-by-step explanation:
5z-1, z=62
5(62)-1
310 - 1
309
Please help! I will give brainlyist!
Answer:
I dont really know what it is id help but im confused
Step-by-step explanation:
If the simple interest on $3000 for 7 years is 840$, then what is the interest rate?
Answer:
Step-by-step explanation:
4%
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
4:3
Step-by-step explanation:
16:12=8:6=4:3
Answer:
4:3
Step-by-step explanation:
16 and 12 can both be divided by 4
16/4 = 4 12/4 = 3
so your simplified ratio is 4:3
if 24 pencils cost $1.20 how much will 6 cost
Answer:
30 cents
Step-by-step explanation:
24=1.20
6=x
Algebra here to solve.
1.20=24
x=6
Divide by 4
1.20÷4=$0.3
$0.3=30 cents
Convert 3 2/7 into improper fractions
21/7
23/7
41/7
None of the above
What two properties of a Cepheid variable star do we need to know in order to calculate the approximate distance from Earth?
(choose two)
1.) luminosity
2.) parallax
3.) color
4.) heat intensity
5.) exact size
6.) apparent magnitude
Answer:
4 and 6
Step-by-step explanation:
which point lies on the point of the equation 9y-4x=18
Answer:
3-5 One line passes through the points (0, -4) and (-1 ... Write the equations in slope intercept form and then ... -2x = 9y-18? Dlugo a. ... Cy= - 4x + 13 Dy= 4r + 23.
Step-by-step explanation:
NOOOOOOOOOOOOOOOOOOOOOO NEED
Answer:
(0, 2)
(9, 6)
Step-by-step explanation:
slope intercept form y = mx + b:
9y - 4x = 18 ===> y = 4/9x + 2
Pick any point for x to get y:
If x = 0, then y = 2
If x = 9, then y = 6
above are just two of many but you should get the idea
Karen has 10 cups of apple juice she uses 2/3 of it to make fruit punch
How many cups of apple juice did Karen put in the fruit punch? ASAP QUICKLY HELP! i will mark the brainiest whoever answers this question fast!
Answer:
3.33 or 3
Step-by-step explanation:
10 divided by 3 = 3.33 (it goes on) Or maybe you can't pour a third of a cup so maybe 3 or 4.
what is the gcf of 8 and 36
Answer:
The GCF of 8 and 36 is 4Step-by-step explanation:
I hope l helped you ❤❤❤Please help I’ll mark brainliest!!
Step-by-step explanation:
4x-5≥7
4x≥7+5
4x≥12
x≥12/4
x≥3
•-------------------------------------------------------------->
__________________________________________________
0 1 2 3 4 5 6 7 8 9 10
hope it helps!
Help pls 1-4 I need asap
Answer: it’s geometry
Step-by-step explanation:
What polygon has interior angle measures of 162°?
Answer:
If you are given the measure of each interior angle (162 degrees) of a regular polygon. how many sides does the polygon have? If you look at a pentagon first where the interior angle is 108 deg then you see. The angle at the center is 180-162=18 deg and 360/18=20 so the polygon has 20 sides.
$5,000 is invested in two different accounts yielding 2% and 2.5% interest. The interest earned on the two accounts is $120. How much money was invested at 2% interest?
$1,000
$3,000
$4,000
$5,000
Answer:
1000
Step-by-step explanation:
*will give brainliest*
While solving an equation, if the variable term becomes zero, and the equation makes a true statement, then the solution is (no solution, one solution, infinite solutions).
Solve the given system by substitution.
Answer:
(2, 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
r = 4s
r = 1/2s + 7
Step 2: Solve for s
Substitution
Substitute in r: 4s = 1/2s + 7Subtract 1/2s on both sides: 7/2s = 7Divide 7/2 on both sides: s = 2Step 3: Solve for r
Define equation: r = 4sSubstitute in s: r = 4(2)Multiply: r = 8Answer:
s = 2
r = 8
Step-by-step explanation:
subsitution is were you plug in a systerm into the other problem
since they give you R = 4s you take 4s and plug it in were r is in the other equation (subsitution)
so now you have 4s = 1/2s+7
now you want to solve for s so your going to subtract 1/2s from both sides to cancle out the 1/2s --> 4s - 1/2s = 7 --> 3 and 1/2s = 7
now divide both sides by 3 1/2 to get s alone s = 7/3 and 1/2
s = 2
now we have s we take that and plug it into r = 4s
subsitute S as 2 --> r = 4(2)
r = 8
Carissa earns $450 per week for a 40 hour work week plus $16.83 per hour for each hour of overtime after 40 hours. Write an equation that would be used to determine her weekly wages where, W, is her wages and, V, is the number of overtime hours worked.
Answer:
The equation that determines Carissa's weekly wages is W = 450 + 16.83 × V
Step-by-step explanation:
The given parameters are
The amount Carissa earns per week = $450
The amount Carissa earns for each overtime hour = $16.83
Where the given variables are;
W = Her weekly wages
V = The number of overtime hours worked
Therefore, the equation that would be used to determine her weekly wages is given as follows;
W = 450 + 16.83 × V.
HELP ME PLS IM HELLA DUMB
Hector works 10 hours per week at a part-time job. His original pay rate was $8.50 per hour, but he recently received a raise of x dollars per hour. His new total weekly pay, y, is represented by the equation y = 10(8.5 + x). If Hector earned $100 last week, what was the amount of Hector's raise per hour? A . $12.00 B .$15.00 C. $1.50 D. $3.00
Answer:
$1.50
Step-by-step explanation:
Given the total weekly pay of Hector modeled by the equation;
y = 10(8.5 + x)
We are to find the amount of Hector's raise per hour x given the total oay y = $100
Substitute y = 100 into the equation and find x as shown;
y = 10(8.5 + x)
100 = 10(8.5+x)
100/10 = 8.5 + x
10 = 8.5 + x
x = 10 - 8.5
x = 1.5
Hence the amount of Hector's raise per hour is $1.50
If f(x)=3x-4, f(-2) =10 true or false
Answer:
False
Step-by-step explanation:
plug -2 in for x. 3(-3)-4=-10 and -10 isn't 10 so false.
(can I get brainliest please)
Answer:
False
Step-by-step explanation:
f(x) = 3x-4
f(-2) = ?
Substitute -2 for x in the given equation
f(-2) = 3(-2)-4
f(-2) = -6-4
f(-2) = -10
-10= 10
FALSE
is j + 8 = 72 a solution
divide 5 divided by 1/4
Answer:
20
Step-by-step explanation:
Answer: 5 is made up of 5 times 1 of 5 ×4 = 20. A more mathematical way is to actually do this as a division problem of two fractions. 5 = 5 1. so divide 5 1 by 1 4. 5 1 1 4. This is a complex fraction make it simpler by multiplying both sides by the inverse of 1/4 which is 4/1.
Step-by-step explanation: Hope This Helps!!
From: Kageyama! <3 No need to thank me, it's what I do! ^^
*please be serious*
*solve for y*
Answer:
i cant answer it without x or at least some more stuff in the question, the only thing i can rlly say is 9x+2 maybe
Step-by-step explanation:
At a store each notebook has a cost of
inequality?
dollars. Which situation can be represented by this
5x < 3x + 2
A The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.
B The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon,
C The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.
D The cost of 5 notebooks is $2 greater than the price of 3 notebooks.
Answer:
The answer is C.
Step-by-step explanation:
The < sign means that it will be less than so you can remove A and D. But it's not B either because of the $2 off coupon. Off means you would be subtracting meaning it'll look like this 5x < 3x - $2. So the correct answer is C.
Hope this helps!
The inequality is transformed into a sentence will be the cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The act of converting mathematical equations into a specified statement is known as equation-to-sentence transformation.
The inequality is given below.
5x < 3x + 2
The inequality is transformed into a sentence will be the cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen. Then the correct option is C.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ5
4(m-1)=8(m+1)+12
step-by-step pls
xyz=A (solve for z).
Answer:
z=0
Step-by-step explanation:
Hope this helps and have a great day!
Shane and Gemma share 35 sweetss in the ratio 1 : 4 Gemma eats 10 of her sweets and then gives Shane 1/2 of the sweets she has left. H ow many sweets does Shane have now?
Answer:
14 sweets
Step-by-step explanation:
5x+35
x=7
7*4=28
(28-10)/2=7
7+7=14
Jarrod sports card holder can hold 9 cards on each page. How many pages will Jarrod need if he has 75 sport cards?
Hello! Lets take a look.
To do this problem you would have to divide.
"75/9"
So what is the answer to that?
8!