(a) Let x be the cost of one of Brian's items, then cost of all 4 items bought by Brian will be 4x.
We have been given that Chris bought 3 items that each cost $2.50 more than Brian’s items each cost. The price of each item bought by Chris will be x+2.5. Therefore, the cost of all 3 items bought by Chris will be [tex]3(x+2.5)[/tex].
(b) We are told that Brian and Chris both paid the same amount of money, so we can equate costs of Brian's 4 items and Chris's 3 items as:
[tex]4x=3(x+2.5)[/tex]
Now let us solve for x by distributing 3.
[tex]4x=3x+7.5[/tex]
[tex]4x-3x=7.5[/tex]
[tex]x=7.5[/tex]
Therefore, cost of Brian's each item is $7.5.
Now let us find price of Chris's each item.
[tex]\text{Cost of Chris's each item}=x+2.5=7.5+2.5=10[/tex]
Therefore, cost of Chris's each item is $10.
(c) Now let us check our solution by substituting x=7.5 in [tex]4x=3(x+2.5)[/tex].
[tex]4(7.5)=3(7.5+2.5)[/tex]
[tex]4(7.5)=3(10)[/tex]
[tex]30=30[/tex]
We can see that both Brian and Chris spent equal amount of money that is $30, therefore, our solution is correct.
two right angles are added, what are the results
A. a straight angle
B. a acute angle
C. an angle > 180
D.Obtuse angle
y= 2+4.3x when x= -6
Answer:
y= -23.8
Step-by-step explanation:
I don't know if this is the right answer but you can try
When x is -6, y is approximately -23.8.
The given equation is y = 2 + 4.3x, and you want to find the value of y when x = -6.
Substitute x = -6 into the equation:
y = 2 + 4.3 * (-6)
Now, calculate the value:
y = 2 - 25.8
Simplify:
y = -23.8
When x = -6, the value of y is -23.8.
This means that if you plug in x = -6 into the equation, you will get y = -23.8 as the corresponding y-coordinate on the graph.
This represents a point on the line described by the equation y = 2 + 4.3x when x is -6, y is -23.8.
for such more question on value
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1. 267.935:39=
2. 689.354:78=
3. 96.873:56=
Question 1.) 267.935:39=
Answer 1.) 6.870 approximately
Question 2.) 689.354:78
Answer 2.) 8.838 approximately
Question 3.) 96.873:56
Answer 3.) 1.730 approximately
Explanation : Since the numerators are expressed in thousandths, the answers must be expressed in thousandths too.
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
What is an expression for the total cost of feeding h horses?
Let's say the cost to feed each horse is $5.00.
The expression would be written as:
(5.00)h or simplified as 5h
This is because you are multiplying the cost for feeding each horse by the amount of horses, represented as h.
If you are feeding 6 horses you would substitute the h for 6 giving you the expression:
5(6)
which equals $30 total.
Hope this helps and have a nice day! :)
calculate the volume of each rectangular prism. include the unit in your number sentence ??
find the exact value of cos 5pi/3
Answer:
1/2
Step-by-step explanation:
The angle 5pi/3 shows up in the 3rd quadrant and is equivalent to the angle 300 degrees. The "reference angle" of 300 degrees is 60 degrees; the reference angle in this case has the same trig function values as does 300 degrees. Thus, the cosine of 5pi/3 is the same as the cosine of 60 degrees, which is 1/2.
Using equivalent angles, it is found that:
[tex]\cos{\left(\frac{5\pi}{3}\right)} = \frac{1}{2}[/tex]
[tex]\frac{5\pi}{3}[/tex] is an angle in the fourth quadrant, as [tex]\frac{2\pi}{3} \leq \frac{5\pi}{3} \leq 2\pi[/tex].
To find the equivalent in the first quadrant to an angle in the fourth quadrant, we subtract [tex]2\pi[/tex] from the angle, then:
[tex]2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}[/tex]
Just as in the first quadrant, the cosine is positive in the fourth quadrant, thus, applying the equivalent angle:
[tex]\cos{\left(\frac{5\pi}{3}\right)} = \cos{\left(\frac{\pi}{3}\right)} = \frac{1}{2}[/tex]
A similar problem is given at https://brainly.com/question/23843479
a tram moved upward 9 meters per second for 63 seconds. what was the total change in the trams elevation
The total change in the tram's elevation is 567 meters.
Explanation:The total change in the tram's elevation can be found by multiplying the upward speed by the time it was moving. In this case, the tram moved upward at a speed of 9 meters per second for 63 seconds. So, the total change in elevation would be 9 meters per second multiplied by 63 seconds, which equals 567 meters.
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Are -3.9 and -0.99 on the same side or the opposite side of zero ?
Same side. Locate -3.9 on the number line. Then -0.99 is to the right of -3.9, with both numbers being on the same side (that is, on the left side) of zero.
Same side, think of it as a number line. there is a left side for negitives, and a right for positives. Every negitive number is on the same side, while the positives have their own side too. Only if it was a positive with a negitive it would be on opposite sides.
-1.8(5) what’s the product
-3.3=x/6 solve for x
-3.3=[tex]\frac{x}{6}[/tex]
Multiply both sides of the equation by 6 to isolate x.
-19.8=x
Your answer is -19.8.
I hope this helps :)
the answer is x=-19.8
hope it helps mark me the brainlyest
Charlie purchased a home for $300,000. The mortgage company requires a 10% down payment and Charlie chooses to finance the property for 30 years at 6%. What is Charlie's down payment?
Answer: Charlie's down payment to purchase home is $30,000.
Step-by-step explanation:
Given that :- Charlie purchased a home for price = $300,000
Mortage company requires a down payment of =10% of price of home
Therefore, Charlie's down payment = 10% of price for home
⇒Charlie's down payment =10% of $300,000
⇒Charlie's down payment =0.1 × $300,000
⇒Charlie's down payment =$30,000.
Thus, Charlie's down payment to purchase home is $30,000.
I need help!!!! I need most of all the measure of angle CBA
if (5)=-3, then the point ???? is on the graph of f
f(x) = y
f(5) = -3 therefore the point is (5, -3).
What value should going to the empty boxes to complete the calculation for finding the product of 0.98×0.73? both numbersare the same however only input the answer at one time and your answer.
Answer:
Missing same value is 0.02
Step-by-step explanation:
Instead of multiplying big decimal numbers we put short cut by making 0.98 as a difference of near integer and one decimal.
i.e 0.98 =1-0.02
Since 0.02 is the same for other also other term
0.73 = 0.75-0.02
Now product can be done very easily.
Steps are shown below:
0.98x0.73
= (1-0.02) (0.75-0.02)
= 0.75 -0.02(1+0.75)+0.0004
= 0.7504-(0.035)
= 0.7154
=0.44
Find the distance between the numbers 1.2 and 6.4 on the number line
Answer:
5.2
Step-by-step explanation:
Distance between numbers would mean subtraction.
6.4 subtracted by 1.2 would come to 5.2.
Hope this helped!
whats three times four times two
Answer:
24
Step-by-step explanation:
3 x 4 x 2
you can use the order of operations
PEMDAS parentheses, exponents, multiplication, division, addition, subtraction
so you would do
3 x 4 = 12
12 x 2 = 24
so the answer would be, 24
Answer:
24
Step-by-step explanation:
3 x 4 = 12
12 x 2 = 24
you can also try this method:
3 x 2 = 6
6 x 4 = 24
A cement walk 3 ft wide is placed around the outside of a rectangular garden plot that is 20ft by 30ft. Find the cost of the walk at $12.25 a square yard
Let us calculate the area of the walk.
Since the width of the walk is 3 feet, and the walk will be placed all the 4 sides,
Length of the plot including walk = 20 + (2 × 3) = 20 + 6 = 26 feet.
Breadth of the plot including walk = 30 + (2 × 3) = 36 feet.
Area of the plot including walk = 26 × 36 square feet.
Area of the plot = 20 × 30 square feet.
Area of the walk = (26 × 36) - (20 × 30)
= 936 - 600
= 336 square feet.
= [tex]\frac{336}{3(3)}[/tex] square yards
= 37.3 square yards
Cost of the walk per square yard = $12.25.
Therefore, total cost of the walk = 12.25 × 37.3 = $456.92.
Answer:
7 m3
Step-by-step explanation:
got it right on edgen
the sunflower is the only single flower that grows as high as 3 meters. it can grow 30 cm each week. in which week does the sunflower reach a height of 3 meters ?
To determine when a sunflower reaches a height of 3 meters, given it grows at a rate of 30 cm per week, we divide 300 cm by 30 cm per week to find that the sunflower will reach the height in the 10th week.
The question asks us to determine in which week a sunflower, which can grow 30 cm each week, reaches a height of 3 meters.
Calculation of Weeks Required for Sunflower to Reach 3 Meters:
Firstly, we need to convert the final desired height from meters to centimeters, since the growth rate is given in centimeters per week:
3 meters = 300 centimeters
Next, we divide the final desired height by the weekly growth rate to find the number of weeks:
300 cm / 30 cm/week = 10 weeks
Therefore, the sunflower reaches a height of 3 meters in the 10th week.
Jack mixes yellow and blue paint to make green paint that he will use to paint his basement. He uses a ratio of 3 pints of yellow paint for every 2 pints of blue paint. Jack pours 18 pints of yellow paint into a bucket. How many pints
of blue paint should jack add to the bucket?
To maintain the ratio of 3:2 for yellow to blue paint, if Jack uses 18 pints of yellow paint, he needs to use 12 pints of blue paint.
Explanation:In this problem, Jack is using a ratio of 3 pints of yellow paint for every 2 pints of blue paint. This ratio simplifies to 3:2. If he uses 18 pints of yellow paint, we can set up a simple proportion to find out how much blue paint he should use.
Yellow : Blue = 3 : 2 = 18 : x. To solve for x, we cross-multiply: 3*x = 2*18. Which leads us to 3x = 36, and dividing both sides by 3 gives x = 12. Therefore, Jack should use 12 pints of blue paint.
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use all 2,4,6,8 and any operation and brackets to find two different equations that equal 24
becky has 5 candy bars. She wants to share them with 3 friends. How much will each friend get?
I will try my best to assist you with your question!
Tricky question... they want you to think that it needs to be 5/3, but it is 5/4
5/4 = 1.25
1.25 = 1 1/4
Each friend gets 1 1/4 of the 5 candy bars.
Hope I helped!
Good Luck!
Roscoe decorating Pages for a book for the child he babysits he has a total of 56 heart stickers and 92 Star stickers if he wants to make all the papers identical with the same combination of heart and star stickers and no stickers left over what is the greatest number of pages Roscoe can decorate
A) not enough information
B)90
C)98
D)82
Answer: B) 90
Since c is perpendicular to b (given) and line 'a' is parallel to line c (also given), this means line 'a' is perpendicular to line b.
Put another way, angles 5, 6, 7, 8 are all 90 degrees (since c is perpendicular to b). If a || c, then angles 2 and 6 are corresponding angles that are congruent.
So this is why angle 2 is also 90 degrees.
What is the percent of change from 180 to 387
To find the percent of change, subtract to find the amount of change
387 - 207 = 180. The increase is 207.
Then divide the amount of change by the original amount
207 ÷ 180 = 1.15
Change the decimal to a percent, and multiply the number by 100:
1.15 X 100 = 115
The answer is 115%
heLP im so bad at math oof
1. 5.8 x [tex]10^{7}[/tex]
2. 2.5 x [tex]10^{3}[/tex]
hope that helps :)
he circumference, or perimeter, of a circle can be found by multiplying its diameter by 3.14. What is the circumference of a circle that has a diameter of 1/2 inch? Express your answer as a decimal.
1/2 inch = 0.5 inches
The circumference of a circle is equal to: π * diameter.
0.5 * 3.14 = 1.57 inches
Write the expression in standard form. three divided by quantity three minus twelve i.
3/(3 - 12i)
To simplify this, multiply both sides by (3 + 12i)
(3 - 12i)(3 + 12i)
Distributive property.
3(3 + 12i) - 12i(3 + 12i)
9 + 36i - 36i - 144i^2
Simplify.
9 - 144i^2
i^2 can be interpreted as -1.
9 + 144
Combine like terms.
153 is the simplified version of the bottom half of the expression.
Now for the top half.
3(3 + 12i)
Distributive property.
9 + 36i
We can simplify this further by factoring.
3(3 + 12i)/153
1 + 4i/17
1/17 + 4i/17 is the simplified version of the expression. (This is your answer.)
Let me know if you have any other questions.
To write the expression in standard form, divide 3 by the quantity 3 - 12i and rationalize the denominator by multiplying by the conjugate of the denominator to simplify to (3 + 12i)/51.
To write the expression in standard form, 3 divided by (3 - 12i), you need to rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator to eliminate the imaginary part. The conjugate of 3 - 12i is 3 + 12i.
Therefore, multiplying by the conjugate gives you: (3/(3 - 12i)) x ((3 + 12i)/(3 + 12i)).
This simplifies to the standard form: (3(3 + 12i))/(3^2 - (12i)^2) = (3(3 + 12i))/(9 + 144) = (3 + 12i)/51.
Which is the graph of y = 1/x?
answer: the first graph
explanation:
it would not be the second one because it is a slope (y = mx + b) and so would be the third choice.
i don't think it would be the last one because it's going only up to 40. which the equation say only y = 1/x and it's not a big number equation.
hope this helps! ❤ from peachimin
i attached this image which is sorta similar to the the to this equation:
88 less than 8 times a number is 34 less than twice. turn to equation
What is the solution to the following system
Answer:
Option C. (4, -1, 3)
Step-by-step explanation:
The given system of equations is
x + y + z = 6 -----(1)
x - y + z = 8 ------(2)
x + y - z = 0 -----(3)
We subtract equation 1 by 3
(x + y + z) - (x + y - z) = 6 - 0
z + z = 6
2z = 6
z = 3
Now we subtract equation 1 by 2
(x + y + z) - (x - y + z) = 6 - 8
2y = -2
y = -1
Now we put the values of x and y in equation 1
x + (-1) + 3 = 6
x + 2 = 6
x = 6 - 2 = 4
Therefore, the solution of the equations is (4, -1, 3).
Option C is the answer.