Answer:
c = 4, d = - 1
Step-by-step explanation:
Expand and simplify left side, then compare coefficients of like terms on the right side, that is
3(2x + d) + c(x + 5) ← distribute parenthesis
6x + 3d + cx + 5c
= x(6 + c) + 3d + 5c
Compare terms with those on the right side
coefficients of x- terms
6 + c = 10 ( subtract 6 from both sides )
c = 4
--------------
constant terms
3d + 5c = 17, that is
3d + 5(4) = 17
3d + 20 = 17 ( subtract 20 from both sides )
3d = - 3 ( divide both sides by 3 )
d = - 1
The value of c and d if 3(2x+d)+c(x+5)=10x+17 is 4 and -1 respectively
Given the equation:
3(2x+d)+c(x+5)=10x+17
Expand the bracket
6x + 3d + cx + 5c = 10x + 17
Collect the like terms
6x+cx + 3d + 5c = 10x + 17
x(6+c) + 3d + 5c = 10x + 17
Compare the coefficients of x on both sides
x(6+c) = 10x
6+c = 10
c = 10 - 6
c = 4
Similarly:
3d + 5c = 17
3d + 5(4) = 17
3d + 20 = 17
3d = 17 - 20
3d = -3
d =-3/3
d = -1
Hence the value of c and d if 3(2x+d)+c(x+5)=10x+17 is 4 and -1 respectively
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Solve the equation -4p+9=-5
Answer:
p= 7/2
-4p+9=-5
-4p=-14
p=14/4
p=7/2
Al and Tom are painting a shed. Working alone, Al can paint the shed in 2 hrs. Together they can paint the shed in 1.5 hours. How long would it take Tom to paint the shed on his own?
Answer:
6 hours.
Step-by-step explanation:
The formula sort of has to be invented.
Al
rate = 1 shed / 2 hours
Tom
rate = 1 shed / x hours.
Together.
rate = 1 shed / 1.5 hours.
Equation
1 shed / 2 hours + 1 shed / x hours = 1 shed / 1.5 hours.
1/2 + 1/x = 1/1.5 Put the fractions over a common denominator.
(x + 2) / 2x = 1 / 1.5 Cross Multiply
1.5(x + 2) = 2x Remove the Brackets.
1.5x + 3 = 2x Subtract 1.5x from both sides
3 = 2x - 1.5x
3 = 0.5x Multiply both sides by 2
6 = x
It would take Al 6 hours to do the shed on his own.
help me please!
i don’t understand!
Answer:
Harry is paid £64
Step-by-step explanation:
To work this out you have to divide 48 ÷ 6 to get 8.
8 hours x £8 = £64
Answer:
64
you have to find the LCM of 48 including 6 and use the other number which is 8 and multiply it by how long Harry worked 8 hours which gives you £64
determining slope and y-intercept
Answer:
The slope is -1
Step-by-step explanation:
Anytime the x-intercept values have 0 in it, the y-intercept value which is below/above the x-values (Which in this case is -1) is the y-intercept.
I nee help with algebra (2, -4) slope =-3
Answer:
Two parallel lines have the same slope, so, the slope of the parallel line is also negative 2/3
Step-by-step explanation:
Solve for X
Potential answers are (WILL GIVE BRAINLIEST
1. 0
2. 11.4
3. 16
4. -16
Answer:
3) 16
Step-by-step explanation:
these are alternate-interior angles which are congruent
10x-23 = 137
10x = 160
x = 16
An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 9 more than three times the length of the bottom of the triangle. The last side is 9 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle. What is the expression for the perimeter of the triangle?
Answer:
The perimeter of the triangle can be expressed as 5x + 18.
Step-by-step explanation:
Perimeter of an object is the sum of the length of its sides.
For the required triangle, we have;
length of the base = x
length of the second side = 3x + 9
length of the third side = x + 9
Perimeter of the triangle = length of the base + length of the second side + length of the third side
= x + (3x + 9) + (x + 9)
= x + 3x + 9 + x + 9
= 5x + 18
The perimeter of the triangle can be expressed as 5x + 18.
what is the answer to this equation : 1 = 4 + X
Answer: x is -3
Step-by-step explanation: if 1 is equal to 4, 4 has to be decreased down to 1 so -3 plus positive 4 is 1 so 1=1
WILL GIVE BRAINLIEST!
As part of a training program for the Boston Marathon, a runner wants to build endurance by running at a rate of 12 mph for 15 min. How far will the runner travel in that time period? _ mi
The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.
Speed is the ratio of distance travelled to time taken. Speed is given by:
Speed = distance/time
Given that the runner is running at a rate of 12 mph for 15 min, hence:
speed = 12 mph, time = 15 min * 1/60 min per hour = 0.25 hours.
Hence:
Speed = distance/time
12 mph = distance/0.25 hours
distance = 3 miles
The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.
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choose the correct response
Answer:
74 hope this works if not I'm sorry
A taxi company charges passengers $1.75 for a ride, no matter how long the ride is, and an additional $0.40 for each mile traveled. The rule c = 0.40m + 1.75 describes the relationship between the number of miles m and the total cost of the ride c.
a. What is the charge for a 1-mile ride?
b. What is the charge for a 2.7-mile ride?
A. $0.40; $5.13
B. $1.75; $2.15
C. $0.40; $1.08
D. $2.15; $2.83
Answer: THE ANSWER IS D. $2.15; $2.83
a taxi company charges passengers 1.75 for a ride,?
a taxi company charges passengers 1.75 for a ride, no matter long the ride is, and an additonal $0.40 for each mile traveled. the rule c=0.40m+1.75 describes the relationship between the number of miles M and the total cost of the ride c.
what is the charge for 2.7 mile ride
A. 5.13
B. 1.08
C. 2.15
D. 2.83
Favorite Answer
D 2.83
c = 0.4. * 2.7 + 1.75
=> c = 2.83
Step-by-step explanation: It Looks Like The Answer is D
c=0.40(2.7)+1.75=$2.83 so $2.83 is the answer
1.75+(2.7*.4)=
1.75+1.08=
2.83
The answer is $2.83
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
1.324
Step-by-step explanation:
Just divide 1324 by 1000 to get your conversion rate which is 1.324
If you check, to convert $1000 into Japanese Yen, by multiplying 1.324 with $1000, you'll get 1324 Yens
Simplify (46)
Give your answer as a power of 4.
Answer:
0.00000368
Step-by-step explanation:
A school has 320 girls and 250 boys.
Answer:
580 girls and boys
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
5 dollars for 1 sub
Step-by-step explanation:
y2-y1/x2-x1=unit rate
20-10/4-2
10/2
5
Help me please will mark
Answer:
d
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
- 18
10
- 11 -
What’s the area of the shape and numbers ?
Answer:
1,980 would be the area and the perimeter would be 39 im pretty sure
Write the equation for a circle with the center (90,195) and a radius of 88
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Circles.
The centre of the circle is given as, (h, k)
The equation in form of centre and radius of the circle is given as,
===> (x-h) ^2 + (y-k) ^2 = r^2
hence, the equation would be,
===> (x-90)^2 + (y-195)^2 = (88)^2
Do you like forgs???
Answer:
there ok
Step-by-step explanation:
I need help me this somebody help!
Answer:
M1=136
m4=180-136
=44////
Expand and simplify
(4 + 2)(6-2)
Give your answer in the form b+ CV 2
Answer:
(4+2)(6-2)
24+8+12-4
44-4
40
Answer:
youre welcome- have a nice day
Step-by-step explanation:
A shoe store recorded the price (in dollars) of 175 pairs of women's shoes and 175 pairs of men's shoes. The data collected was used to create the following table.
Picture
Which statement accurately describes the difference in the price of men's and women's shoes at this store?
The price of women's shoes varies less than men's shoes.
Most of the men's shoes in the data set cost more than women's shoes.
Most of the women's shoes in the data set cost more than men's shoes.
The price of men's shoes has a higher interquartile range than that of women's shoes.
Answer:
Most of the men's shoes in the data set cost more than women's shoes.
Step-by-step explanation:
From what I could tell it can't be The price of men's shoes has a higher interquartile range than that of women's shoes. becuse that's false what looks to fit is Most of the men's shoes in the data set cost more than women's shoes. since on the graph more of the mens vaules are bigger
HELP DUE IN 10 MINS!
Find the missing side measurement.
Your answer should be a simplified radical or a whole number. (no decimals allowed)
x =
Answer:
x = 20 unitsStep-by-step explanation:
Given the right triangle with one side unknown
Use Pythagorean Theorem to find the value of x:
x² = 16² + 12²x² = 256 + 144x² = 400x = √400x = 20PLEASE HELP ME!!! I'M GIVING 11 POINTS
1. Mara has $640 in her bank account. If she withdraws $30 every month, in how many months will she have $370 remaining in her account
2. Make up an equation that has no solution and explain what that means. (Hint: It has to be a real explanation, not just "it doesn't work").
Answer:
610, 580, 550, 520, 490, 460, 430, 400, 370 It takes 9 months
Step-by-step explanation:
2: 1.50+x=π This problem is impossible. This is because Pi is a number that goes for infinitiy so there is no answer for x. This also means ∞ can also be an answer.
Answer:
1. 9
2.
Step-by-step explanation:
1. Mara has $640 in her bank account, she withdraws $30 each month. We don't know how many months will she withdraw until 370$. Let's write an expression first:
640 - 30x = 370
Now, subtract both sides by 640 to get -270:
-30x = -270
Last, divide both side by -30:
-30x = 270
x = 9
Now, we know she withdraws $30 for 9 months.
2. 2 + 4(3 - 2) = x
This tells us that we do not know the answer until we solve it.
2 + 4(3 - 2) = x
2 + 12 - 8 = x
6 = x
A rectangle has an area of 2x2 - 19x +45 ft? What are the dimensions of the rectangle? (hint: factor)
The dimensions of the rectangle will be (2x - 9)(x - 5).
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the area of the rectangle is represented by a quadratic equation 2x² - 19x +45.
The dimensions of the rectangle will be the factors of the quadratic equation.
2x² - 19x + 45
2x² - 10x -9x + 45= 0
2x( x - 5 )-9(x - 5)= 0
( 2x - 9 ) ( x - 5 ) = 0
Therefore, the dimensions of the rectangle will be (2x - 9)(x - 5).
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Which equation shows how to find how much taller Samuel's dad is than Samuel?
Answer: you will either Add or Multiply
Step-by-step explanation:
Find the geometric mean between 28 and 32. Round to the nearest tenth if necessary.
Answer: The geometric mean is √24 * 32 = √768 = 16√3.
The geometric mean between 28 and 32 is 28.29 after using the formula of the geometric mean.
What is mean?
It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
Let x be the geometric mean between 28 and 32
The formula for the geometric mean:
x = √(a×b)
x = √(28×32)
x = √800
x = 20√2
x = 28.284
or
x = 28.29
Thus, the geometric mean between 28 and 32 is 28.29 after using the formula of the geometric mean.
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what is 4/5 divide 3/10
Answer:
4/5×10/3
4×2=8
1×3=3
8/3
At janices age she is not only 5 times older than ross, but she is 28 years older than ross. How old is janice?
Answer:
35 years old
Step-by-step explanation:
Let Janice's age = j.
Let Ross's age = r.
j = 5r
j = r + 28
Set the equations equal to each other.
5r = r + 28
4r = 28
r = 7
j = 5r
j = 5(7)
j = 35
Answer: 35 years old
HURRY! please help me please quick
Answer: She jump ropes 7/3 or 2 1/3 of an hour every week
Step-by-step explanation: This is because she jump ropes 1/3 each day and there's 7 days in a week so 7/3 or 2 1/3(2 hours and 20 minutes)
I hope you are having a nice day!
Answer:
2 hours 33 minutes
Step-by-step explanation:
1/3 of an hour is 20 minutes
20 times 7 is 140
140 divided by 60 is 2.33 hours
so 2 hours and 33 minutes