Answer:
Step-by-step explanation:
The value of a is -6, and the value of b is 48.
To solve the equation a(3x-8) = b - 18x for the values of a and b, we need to distribute the 'a' to both terms inside the parentheses and then compare coefficients from both sides of the equation.
Firstly, we distribute:
a(3x) - a(8) = b - 18x3ax - 8a = b - 18xNow, since the equation should hold true for all values of 'x', the coefficients of 'x' on both sides must be equal, and the constant terms should also be equal. We can set up two separate equations as follows:
3a = -18 (from comparing coefficients of 'x')-8a = b (since there is no 'x' term on the right side)Solving these two equations, we find that:
a = -18 / 3a = -6b = -8(-6)b = 48So, the value of a is -6, and the value of b is 48.
What is the area of the figure?
Answer:
48
because area is length time with but because the base is a triangle you have to find the area of the triangle then times it with the width that you have
Jake thinks that a rhombus is not always a parallelogram.Is jake correct?
Answer:
No, a rhombus is a quadrilateral, with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses. The opposite interior angles of rhombuses are always congruent. A parallelogram is just a four sided closed shape where opposite sides are parallel.
I hope this helps!
A rhombus is always a parallelogram, and its diagonals are perpendicular. Jake is incorrect in his assertion.
A rhombus is indeed always a parallelogram because a parallelogram is a quadrilateral with opposite sides parallel and a rhombus fits this definition.
To show that the diagonals of a rhombus are perpendicular, we use the fact that the scalar product of perpendicular vectors is zero. By representing the diagonals as vectors, we can demonstrate their perpendicularity.
Therefore, Jake is incorrect in thinking that a rhombus is not always a parallelogram - it is a specific type of parallelogram with additional properties.
Which transformation would not create an image and a pre-image that are CONGRUENT figures?
A
A dilation with a scale factor of 1
B
A translation to the right and up.
C
A dilation with a scale factor of 2.
D
A reflection over the x-axis
Answer:
points
Step-by-step explanation:
Answer:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
Step-by-step explanation:
:0
pls help me with #7!! i don’t understand
What is the measure of the angle between two consecutive vertices of a
regular decagon (ten-sided shape)? *
Answer:
36 degrees
Step-by-step explanation:
we know that
The measure of the angle between two consecutive vertices of a regular polygon is given by the formula
[tex]\frac{360^o}{n}[/tex]
where
n is the number of sides
In this problem
n=10 (regular decagon)
so
[tex]\frac{360^o}{10}=36^o[/tex]
Jack has x pence,
Jill has 6 pence less than Jack.
Write down, in terms of x, the number of pence Jill has.
Final answer:
The amount of pence Jill has is written as x - 6, where x is the amount of pence Jack has.
Explanation:
If Jack has x pence, and Jill has 6 pence less than Jack, then the number of pence Jill has is x - 6. To express this in terms of x, we simply subtract 6 from x. So if Jack's amount of pence is represented by x, Jill's amount will be represented by the expression x - 6. It's similar to saying that if you have a certain number of something and someone else has 6 less, you would calculate the other person's amount by taking the number you have and subtracting 6 from it.
At a lake, there are 2 boat rental shops. Shop A charges $210 for a 4-hour rental, and shop B charges $246 for a 6-hour rental. a. Which shop charges more per hour? b. How much more expensive is this shop? Explain how you figured out your answer (thought process). 1
explain in your own words no googling..plz
Answer:
Shop A is more expensive by $11.50 per hour
Step-by-step explanation:
I solved this three ways.
1) The difference in time for the two given charges is (6 -4) = 2 hours. The charge at Shop A for 2 hours is half the charge for 4 hours, so its equivalent rate for 6 hours is ...
Shop A rate for 6 hours = rate for 4 hours + rate for 2 hours
= $210 +105 = $315 . . . for 6 hours
This is way more than what Shop B charges for 6 hours.
__
2) The difference in the charges is $246 -$210 = $36 for 2 hours difference in time. This is way less than the equivalent charge from Shop A for 2 hours, so the rate from Shop A is definitely higher.
__
3) In order to answer the question, "how much more expensive?" we expect the rate difference will need to be expressed as a per-hour difference.* This means we have to figure the per-hour charge for each Shop and find the difference of them.
Shop A = $210/(4 h) = $52.50 /h
Shop B = $246/(6 h) = $41.00 /h
The rate from Shop A is higher by $52.50 -41.00 = $11.50 per hour.
_____
Comments on How Much More
* Using the first method, the rate difference is $315 -246 = $69 for 6 hours.
Using the second method, the rate difference is difficult to express exactly, but we can say the rate difference of $36 for 2 additional hours at Shop B is exceeded by the $105 expected charge for 2 additional hours at Shop A. That difference rate ($36/(2h)) isn't an actual charge anywhere, but represents a way to tell if the slope of one curve is more or less than the slope of the other.
If the rates were the same at the two shops, the charge at Shop B for 6 hours would be $315 as we figured in the first method, so the difference of $315 -210 = 105 would match exactly the increment at Shop A for 2 hours.
Personally, I see the second method as easiest to compute and most telling. However, to answer the question, "how much more expensive is it?", we needed to use one of the other methods.
.Jenny is wrapping a present for her friend's birthday party. The box is 4 in. by 5 in. by 7 in. How much wrapping paper will Jenny need to wrap the present? Enter your answer in the box.
Jenny need 166 square inches of wrapping paper to wrap the present.
Solution:
Length of the box = 4 in
Breadth of the box = 5 in
Height of the box = 7 in
Surface area of the box = 2(lb + bh + lh)
= 2( 4 × 5 + 5 × 7 + 4 × 7)
= 2(20 + 35 + 28)
= 2(83)
Surface area of the box = 166 in²
Hence Jenny need 166 square inches of wrapping paper to wrap the present.
Answer:
166
Step-by-step explanation:
A small town had a population 960 people last year. The population grew to 1200 people this year. By what percentage did the population grow?
Answer:
25%
Step-by-step explanation:
1200/960 = 1.25
So it grew by 25%
The senior classes at High School A and High School B planned separate trips to New York City.
The senior class at High School A rented and filled 4 vans and 6 buses with 360 students. High
School B rented and filled 3 vans and 3 buses with 195 students. Every van had the same
number of students in it as did the buses. Find the number of students in each van and in each
bus.
The ratio of length , breadth,and height of cuboid is 3:2:1.If the volume of the cuboid is 48 cubic meter,find the base area of the cuboid
Base area of the cuboid = 24 square inches
Solution:
Volume of cuboid formula = length × breadth × height
Ratio of l : b : h = 3 : 2 : 1
Let us take length be 3x, breadth be 2x and height be x.
Volume of cuboid = 48 cubic meter
length × breadth × height = 48
[tex]3x\times 2x \times x = 48[/tex]
[tex]6x^3=48[/tex]
Divide by 6 on both sides of the equation.
[tex]x^3=8[/tex]
[tex]x^3=2^3[/tex]
Taking cube root on both sides, we get
x = 2
Base area of the cuboid = length × breadth
= 3(2) × 2(2)
= 6 × 4
= 24
Base area of the cuboid = 24 square inches
A deli sells ham subs (h) for $6 each and meatball subs (m) for $8 each. The deli sells less than 40 subs on Monday. The total amount for all sales is less than $200. Which system of inequalities models this situation?
The requried system of inequalities that models this situation 6h + 8m < 200 and h + m < 40.
What is inequality?In mathematics, an inequality is a statement that two values or expressions are not equal. An inequality uses one of the comparison symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).
Here,
Let's use the variables h and m to represent the number of ham and meatball subs sold, respectively. Then the system of inequalities that models this situation is:
h + m < 40 (the deli sells less than 40 subs)
6h + 8m < 200 (the total amount for all sales is less than $200)
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The situation is modeled by the system of inequalities h + m < 40 and 6h + 8m < 200, where h represents the number of ham subs and m represents the number of meatball subs sold.
The deli sells two types of subs: ham subs (h) for $6 each and meatball subs (m) for $8 each. The total number of subs sold on Monday is less than 40, and the total sales amount is less than $200. We are looking to model this situation with a system of inequalities.
To represent the scenario, we can use the following system of inequalities:
h + m < 40 (because the deli sells less than 40 subs)
6h + 8m < 200 (because the total amount for all sales is less than $200)
This system captures the constraints on both the number of subs sold and the total sales amount in dollars.
-x+5x=48
will give brainlist and thx if correct
Answer:
x=12
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
Given
- x + 5x = 48, that is
4x = 48 ( divide both sides by 4 )
x = 12
Find the 11th term of the geometric sequence 2, -6, 18, ...
Answer:
-118098
Step-by-step explanation:
Answer: 118098
Step-by-step explanation:
DM
Ratios equivalent to 3:2
Answer:
6:4,9:6,12:8,15:10
Step-by-step explanation:
Ratios equivalent to 3:2
3:2 = 3/2
1st equivalent = 3×2/2×2 = 6/4 = 6:4
2nd equivalent = 3×3/2×3 = 9/6 = 9:6
3rd equivalent = 3×4/ 2×4 = 12/8 = 12:8
4th equivalent = 3×5/2×5 = 15/10 = 15:10
I hope this was helpful, please mark as brainliest
A professor surveys his students about their opinions on how well he taught the course. He puts this survey on the last page of
his final exam. Which type of bias will most likely have the strongest effect on the survey results?
Not all students will have the access needed to find the survey
Students may not truthfully reply because they fear it will affect their grade
Students may not understand the wording used in the survey
Not all students will be represented in the survey sample.
Answer:
students may not truthfully reply as they fear it will affect their grade
Step-by-step explanation:
This pattern follows the "multiply by 3" rule. What is the next number in the pattern?
3, 9, 27, 81, ________
A. 243
B. 244
C. 288
D. 343
Answer:
A. 243
Step-by-step explanation:
81 multiplied by 3
Answer:243
Step-by-step explanation: count by 3
A six-sided die is rolled. What is the probability that the number rolled will be an even number or a 6?
Answer:
1/2
Step-by-step explanation:
A six sided die has 1, 2, 3, 4, 5, 6. Out of those numbers, 3 of those are even numbers. Meaning you have a 3/6 chance. This 3/6 can be reduced to 1/2.
What is the solution set of inequality 5-|x+4|<=-3
Answer:
[tex]x \geqslant 4 \: or \: x \leqslant - 12[/tex]
Step-by-step explanation:
The given absolute value inequality is:
[tex]5 - |x + 4| \leqslant - 3[/tex]
Let us subtract 5 from both sides to get:
[tex] - |x + 4| \leqslant - 3 - 5[/tex]
We simplify to get:
[tex] - |x + 4| \leqslant - 8[/tex]
We divide through by -1 to get:
[tex]|x + 4| \geqslant 8[/tex]
By the definition of absolute value function,
[tex](x + 4) \geqslant 8 \: or \: - (x + 4) \geqslant 8[/tex]
Divide through the second inequality by -1 and reverse the inequality sign.
[tex](x + 4) \geqslant 8 \: or \: (x + 4) \leqslant - 8[/tex]
Subtract 4 from both sides of both inequalities.
[tex]x \geqslant 8 - 4 \: or \: x \leqslant - 8 - 4[/tex]
[tex]x \geqslant 4 \: or \: x \leqslant - 12[/tex]
Blueberries cost 2.25 dollars per pound how many would 10 pints of blueberries cost
The cost of 10 pints of blueberries, given their price per pound ($2.25), is $33.75.
Explanation:The subject of this question is the cost of buying blueberries, given their price per pound. To find out the cost of 10 pints of blueberries, you first need to know how many pounds are in a pint. Given that approximately 1.5 pounds of blueberries make up a pint, you then multiply the number of pints, here 10, by 1.5 to get the total weight in pounds. Therefore, 10 pints is equivalent to 15 pounds of blueberries. You then multiply the total weight (15 pounds) by the cost per pound ($2.25) to get the total cost. Hence, 15 pounds multiplied by $2.25 equals $33.75. So, the cost of 10 pints of blueberries would be $33.75.
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-4(x+ 9) = 24
i need my homework done lol .
Step-by-step explanation:
[tex] - 4(x + 9) = 24 \\ \\ \therefore \: - 4x - 36 = 24 \\ \\ \therefore \: - 4x = 24 + 36 \\ \\ \therefore \: - 4x = 60 \\ \\ \therefore \: x = \frac{60}{ - 4} \\ \\ \therefore \: x = - 15[/tex]
What is 11/15= 8/15-w
Answer: w= 1/5
Step-by-step explanation:
11/15=8/15 -w
-W= 8/15 -11/15
-w= 8-11/15 =-3/15
-w=-3/15
w=3/15= 1/5
Tommy has 6 more than 3 times the amount of money in his bank account than Judy. Judy has $7500 more than a number in her account. How much money does Judy and Tommy have in each their accounts?
Answer: Judy: n+7500
Tommy: 3(n+7500)+6
Step-by-step explanation:
Can you please help me on -6x-3(1+5x)=-8(x-4)+4
Answer:
x=-3
Step-by-step explanation:
-6x-3(1+5x)=-8(x-4)+4
Step 1. Distribute:
-6x-3-15x=-8x+32+4
Step 2. Combine like terms:
-21x-3=-8x+36
Step 3. Add to different sides:
-13x=39
Step 4. Solve for x:
x=-3
-
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Given Equation:
[tex]-6x-3(1+5x)=-8(x-4)+4[/tex]
[tex]-6x-3(1)-3(5x)=-8(x)-8(-4)+4\\\\-6x-3-15x=-8x+32+4\\\\-6x-15x-3=-8x+36\\\\-21x-3=-8x+36\\\\[/tex]
Adding '[tex]8x[/tex]' both the sides:
[tex]-21x+8x-3=-8x+8x+36\\\\-13x-3=36[/tex]
Adding '3' both the side:
[tex]-13x-3+3=36+3\\\\-13x=39\\\\x=\frac{39}{-13} \\\\[/tex]
[tex]x=-3[/tex]
Mike hiked to a lake in 3.5 hours at an average rate of 3 2/5
miles per hour. Pedro hiked the same distance at a rate of 3 4/5
miles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.
Mike hiked 11.75 miles to the lake which took Pedro approximately 3.09 hours to cover at his speed.
Explanation:The subject of this question is mathematics, more specifically the concept of speed, distance, and time. The first step is to calculate the distance that Mike travels. We know that distance equals speed times time, so Mike traveled 3.5 hours * 3 2/5 miles per hour, which equals 11.75 miles. This is the distance to the lake.
Now, we take the same distance and use Pedro's average speed to figure out how long it took him. Using the formula: Time equals Distance divided by Speed, we can calculate Pedro's time as: Time = 11.75 miles / 3 4/5 miles per hour. To simplify the numerical calculation, we turn 3 4/5 into a decimal form, which is 3.8. So, Time equals 11.75 miles / 3.8 miles per hour. This gives us around 3.09 hours, which we would round to 3.09 hours to the hundredths place.
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How does knowing how to find the area of a
rectangle help you determine the area of other
polygons?
Answer:
https://w w w .y o ut u b e. c o m / wa tc h ?v =z 5 0C 1b 2s O5 M
Answer: maybe divide the rectangle
Step-by-step explanation:
To find the answer of polygen
What hole do I put it in
@jeff4967
Can you please add a picture
Which is the simplified form of the expression (6-2.657-3?
Answer: 0.343
Step-by-step explanation:
6-2.657=3.343 subtract 3 you get 0.343
the distance to the meeting place is 1047 miles if his car gets 29 mpg how many gallons of gas will he need
Answer:
36.1g
Step-by-step explanation:
29mi ..... 1 g
1047mi....x
x=1047×1/29=36.1g
Answer:
36.1 Gallons of gas
Step-by-step explanation:
x= gallons of gas
1047=29x
1047/29=x
36.1=x
36.1 gallons of gas
How much would $200 invested at 5% interest compounded monthly be
worth after 9 years? Round your answer to the nearest cent.
A(t) = P(1+(r/n))^(nt)
Answer:
A = $200(1 + .05/12)¹⁰⁸ = $313.37