The system of equations that represents Candace's and Amar's combined money is c + a = 85.
What is a linear equation?
A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given, Candace has $15 more than Amar.
Assuming Amar has $a.
∴ Candace(c) has $(x + 15).
Their combined money totals $85.
So, the equation that represents their combined money is
x + (x + 15) = 85 or a + c = 85.
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A line that models the data is given by the equation
y= 1.62x + 18 , where y represents the wait time,
and x represents the number of staff available.
The slope of the line is -1.62. What does this mean in
this situation?
Answer:
Kindly check explanation
Step-by-step explanation:
Give the line of best fit :
y = 1.62x + 18 ; where ;
y = wait time ; x = number of staffs available
If slope of the line is -1.62.
The slope of linear graph represents the ratio of change in the y variable and the x variable. With a slope value of - 1.62, the rate of change is negative and thus an increase in x will lead to a decrease in y. This means that for every unit increase in the number of staffs, the wait time reduces at a rate of 1.62 per unit.
7 = 3(5+X) X = _?_
Answer:
-8/3
Step-by-step explanation:
7=3(5+X) = 3(5=X)=7 3(5+x) divided by 3 is 7/3 5+x=7/3 5+x-5=7/3 -5 so x=-8/3
Let g(x) vertical shift of f(x)=-x up 3 units followed by a vertical stretch by a factor of 4. Write the rule for g(x).
Given:
g(x) vertical shift of [tex]f(x)=-x[/tex] up 3 units followed by a vertical stretch by a factor of 4.
To find:
The rule for g(x).
Solution:
We have,
[tex]f(x)=-x[/tex]
This function shifts 3 units up. So,
[tex]f(x)+3=-x+3[/tex]
This function vertical stretch by a factor of 4. So,
[tex]g(x)=4(f(x)+3)[/tex]
[tex]g(x)=4(-x+3)[/tex]
[tex]g(x)=-4x+12[/tex]
Therefore, the rule for g(x) is [tex]g(x)=-4x+12[/tex].
I need help please ASAP please please show ur work
Answer:
x=14
Step-by-step explanation:
1 way
Step 1: Subtract 3/4x from both sides.
1/4x − 5 − 3/4x=3/4x−12−3/4x
−1/2x−5=−12
Step 2: Add 5 to both sides.
−1/2x−5+5=−12+5
−1/2x=−7
Step 3: Multiply both sides by 2/(-1).
(2/−1)*(−1/2x)=(2/−1)*(−7)
2nd way
Add 5 to both sides
1/4x - 5+5 = 3/4x - 12+5
Simplify
1/4x = 3/4x -7
Subtract 3/4x from both sides
1/4x-3/4x= 3/4x-7-3/4x
Simplify
-1/2x=-7
Multiply both sides by -2
(-1/2x)(-2)=(-7)(-2)
x=14
sorry it to so long
the second picture is not acceptable
Answer:
x=3 1/2 or 3.5
Step-by-step explanation:
i think this is right aaaa sorry i did it really weirdly
Nate purchased 12 gallons of gasoline for $15.00. What was the unit rate?
Answer:
I think it might be 1.25
Step-by-step explanation:
same points yall
5+4x x=8
Answer:
37
Step-by-step explanation:
5+(4x)
5+(4×8)
5+32
Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/20 of a liter of paint. How many statues can she paint?
Answer:
She can paint 17 statues
Step-by-step explanation:
Sorry I don’t really know how to show my work
Answer:
140/8
simplified: 35/2
decimal: 17.5
Step-by-step explanation:
honestly, I don't know how to show my work but I hope this helps.
Which figure has exactly 5 lines of reflection that map the figure onto itself?
Answer:
pentagon
Step-by-step explanation:
1/5 x 1/2 *
mark you brainlyest
The answer will be 1/10. First you will change the denominator to the same number because you can’t mutiply fractions if the denominator is different. 5x2=10 and 2x5=10. So both of the denominator will turn into a 10. Now you’ll have to find the numerator. For the first one, multiply it by 2 because that how much the number need to turn equalvilant for the denominator. 1x2=2. So now you know that the first fraction is 2/10. Then you multiply 1 with 5 which is 5. Now the numbers all have the same denominator. Multiply 2/10 and 5/10 which is 1/10.
y’all be smart ash what the-
Answer:
D
Step-by-step explanation:
When in doubt choose D
Answer:
D
Step-by-step explanation:
The other dude is wrong, you have to plug in the domain to find the range.
will anyone pls help meh ^^
Answer:
( E ) = 18x
Step-by-step explanation:
According to question,
2/3 ( E ) = 12x [ Here expression is ( E ) ]
2 ( E ) = 36x
( E ) = 36/2 x
( E ) = 18x
Hope it helps.......
The side lengths 10, 14, and 15 form a triangle. Explain why.
Answer:
Therefore, the side lengths 10, 14, and 15 form a triangle.
Step-by-step explanation:
The Triangle Inequality Theorem defines that if we are given the three sides of a triangle, then the sum of any 2 sides of a triangle must be greater than the measure of the third side of the triangle.
The three conditions that need to be met for any triangle with the side lengths A, B, and C.
[tex]A + B > C[/tex]
[tex]B + C > A[/tex]
[tex]A + C > B[/tex]
Given the side lengths of a triangle
101415Let us check whether it satisfies the three conditions.
10+15 > 14 → TRUE
10+14 > 15 → TRUE
14+15 > 10 → TRUE
As all the conditions are met. Therefore, the side lengths 10, 14, and 15 form a triangle.
12t - 4-7t = 5t-4
a. No solution
b. One solution
c. Two solutions
d. Infinitely many solutions
Answer:
infinitely many solutions
Step-by-step explanation:
12t-5t=7t-7t=0=-4t=-4, 4+-4=0 so 0=0
Solve the system:
x + y = 19
y = 3x - 1
x - 4= 7
options-
x + 8=0
x-11=0
x+11=0
x-8=0
Answer:
x+11=0 is answer
Step-by-step explanation:
may be this is helpful!
Find AD.
B
A
13x – 4
D
8x + 11
Answer:
Step-by-step explanation:
13x-4 = 8x+11
13x-4 = 8x+11
-8x -8x
5x-4=11
+4 +4
5x=15
/5 /5
x=3
Plug it in...
13(3) -4
39-4
=35
The value of AD is: AD = 35.
Here, we have,
from the given figure, we get,
both the triangles are similar to each other.
so, we have,
AD = DC
i.e.
13x-4 = 8x+11
To solve the equation 13x - 4 = 8x + 11, we need to isolate the variable x on one side of the equation.
Here are the steps:
Start by moving the terms with x to one side of the equation.
We can do this by subtracting 8x from both sides:
13x - 8x - 4 = 8x - 8x + 11
Simplifying the left side:
5x - 4 = 11
Next, move the constant term (-4) to the other side by adding 4 to both sides of the equation:
5x - 4 + 4 = 11 + 4
Simplifying:
5x = 15
To isolate x, divide both sides of the equation by the coefficient of x, which is 5:
(5x)/5 = 15/5
Simplifying:
x = 3
Therefore, the solution to the equation 13x - 4 = 8x + 11 is x = 3.
so, we get, x = 3
Plug it in AD, we have,
13(3) -4
=39-4
=35
Hence, The value of AD is: AD = 35.
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Solve for x :
0.4 ( 2 – 4) +0.6x = 1.4
A. x = 2
В.x = 5.4
c.x = -0.2
D.x = 3
what is the value of sin(a)
Answer:
i think 45
Step-by-step explanation:
Asked yourself what was wrong and how you would
Tom promised that for every 4 hours that he played video games, he would solve 16 math problems. Going by his promise, which of the following statements is correct?
A.
He would solve 32 math problems if he played video games for 9 hours.
B.
He would solve 30 math problems if he played video games for 8 hours.
C.
He would solve 32 math problems if he played video games for 8 hours.
D.
He would solve 48 math problems if he played video games for 9 hours.
Answer:
A
Step-by-step explanation:
because of the gravity of thw earth
Answer:
C. He would solve 32 math problems if he played video games for 8 hours.
Step-by-step explanation:
Create the following proportion to find the number of math problems for 8 hours:
4/16 = 8/x
Cross multiply.
4 x x = 4x
16 x 8 = 128
4x = 128
x = 32
If Tom plays video games for 8 hours, he'll solve 32 math problems.
Create the following proportion to find the number of math problems in 9 hours:
4/16 = 9/x
Cross multiply.
4 x x = 4x
16 x 9 = 144
4x = 144
x = 36
If Tom plays video games for 9 hours, he'll solve 36 math problems.
7(3-x)=-7(x+3)-4 one solution, no solution or infinite solutions
Answer:
No solution
Step-by-step explanation:
(7)(3)+(7)(−x)=(−7)(x)+(−7)(3)+-4
21+−7x=−7x+−21+−4
−7x+21=(−7x)+(−21+−4)
−7x+21=−7x+−25
−7x+21=−7x−25
−7x+21+7x=−7x−25+7x
21=−25
21−21=−25−21
0=−46
Calculate the rate of change
Answer:
10
Step-by-step explanation:
rate of change can also be found as rise/run
rise: 50 run: 5
50/5=10
Answer
10
rate of change can also be found as rise/run
rise: 50 run: 5
50/5=10Step-
Mrs girl burns 236 calories riding her bike each hour she wants to burn 590 calories riding her bike what ineqality reperesents the number of hours she must ride her bike
Answer:
Step-by-step explanation:
Amount of calories per hour whkie riding = 236
Amount of calories she intends to burn = 590
The number of hours she must ride her bike :
Let number of hours = x
Hence,
(Calories burned per hour * number of hours) ≥ 590
(236 * x) ≥ 590
x ≥ 590 / 236
x ≥ 2.5
Hence she must rise her bike for 2.5 hours
Carmen needs to drive 16 miles to work. So far, she has driven 2.9 miles. How many more miles must she drive?
Answer:
13.1 miles
Step-by-step explanation:
she needs 16 miles total
she has driven 2.9
so
16 - 2.9 = 13.1
Answer:
13.1 miles
Step-by-step explanation:
You would need to subtract 2.9 from 16 to get 13.1
A professor wants to divide the remaining 3/4 of the semester evenly into six different units. What fraction of the semester should be spent on each unit?
Answer:
Each of these courses will take up 1/8 of the total semester.
Step-by-step explanation:
From the question, we can see that the semester is remaining 3/4 of the total duration.
we will be sharing that 3/4 into 6 places for each course. Next, we will be relating this to the total time we had for the whole semester initially.
3/4 divided by 6 = 1/8
From this, we can see that each of these courses will take up 1/8 of the total semester.
Can you help me answer this question please
Answer:
look up how is it porportinal it will tell you
Step-by-step explanation:
Answer:
yeah
Step-by-step explanation:
25 divided by 5 = 5
45 divided by 5= 9
so 25/45 = 5/9
5x3=15
9x3=27
so 5/9=15/27
Matt has 2/3 yard of fishing line. He uses 3/8 to make fishing knots. Shade the model to show the amount of line that Matt uses to make fishing knots?
Answer:
1/4 yards was to make fishing knot
Step-by-step explanation:
Given that :
Yards of fishing line = 2/3
Fraction used to make fishing knot = 3/8
Amount of yards used to make fishing knot;
3/8 of the number of yards was used to make fishing knot.
(3/8) of 2/3)
(3/ 8) * (2 /3)
6 / 24
= 1 / 4 yards
The table below shows the cost for different numbers of tickets.
Based on the information in the table, which of the following statements is true?
Answer:
D
Step-by-step explanation: It's not going up by 6 or 2, and it's not going down in numbers, so D
Helpppp!!! Write an equation of the line through (2, 3) and (-1, -12) in slope intercept form y=mx+b? Show work
John works 40hrs a week getting paid $13.00 per hour. He gets paid weekly and gets taxed 22%. How much is his weekly check?
What if john had 5 Kids and only got taxed 3% how much would his weekly check be?
Answer:
$405.60
Step-by-step explanation:
40x13=520
520x.22= 114.4
520-114.4=405.60
What is 36% of 250?
Answer:
90
Step-by-step explanation:
0.36*250 = 90
