Answer:
56.88
Step-by-step explanation:
2 ways to do this
45.50 x 25% = 11.375
45.50 + 11.375 = 56.875
and that rounds to 56.88
for option 2 I recommend a calculater
45.50 + 25% = 56.875
56.88
Graph the line with slope -3 passing through the point (5,1) .
Answer:
Step-by-step explanation:
Graph a line given a point and a slope
Plot the given point.
Use the slope formula to identify the rise and the run.
Starting at the given point, count out the rise and run to mark the second point.
Connect the points with a line.
Brickey, your friend, makes minimum wage ($7.25 an hour) at his job. He uses 1 gallon of gas to get to and from work and pays $2.29 per gallon. What percent of an hours work is paid to fuel?
Answer:
ok so he makes 7.25 per hour and he waste 2.29 he is wasting the 31.5% of the salari
Step-by-step explanation:
you have to multiply 2.29 by 100 and divide it into the 7.25
2.29 X 100=229/7.25=31.5
the sum of a number and 4 is 6 1/2
Answer:
X=2
Step-by-step explanation:
let say x is the variable that we want to found .
x + 4 =6 1/2
X + 4 = 6
X= 2
The number is [tex]2\frac{1}{2}[/tex].
What is a sum?A summation, also called a sum, is the result of arithmetically adding numbers or quantities.
Given that, the sum of a number and 4 is [tex]6\frac{1}{2}[/tex]
Let the number be x
x + 4 = [tex]6\frac{1}{2}[/tex]
x [tex]x= 6\frac{1}{2} - 4\\= 2\frac{1}{2}[/tex]
Hence, the number is [tex]2\frac{1}{2}[/tex].
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Noor brought 212121 sheets of stickers. She gave \dfrac{1}{3} 3 1 start fraction, 1, divided by, 3, end fraction of a sheet to each of the 454545 students at recess. She wants to give teachers 1\dfrac{1}{2}1 2 1 1, start fraction, 1, divided by, 2, end fraction sheets each.
Answer:
12 teachers will get 1/2 sheets each
Step-by-step explanation:
Noor bought 21 sheets of stickers
She gave 1/3 sheets to each 45 students
She wants to give teachers 1/2 of sheets
The question should be: how many teachers will she give
Total sheets=21
Students gets= 1/3 × 45
=45/3
=15 sheets
Remaining sheet= total sheets - students sheets
=21-15
=6 sheets
There are 6 sheets remaining for teachers
She wants to give 1/2 to each teacher
Then,
The number of teachers that will get =Remaining sheets ÷ each teacher's share
=6 ÷1/2
=6 × 2/1
=12 teachers
12 teachers will get 1/2 sheets each
Answer:
12 teachers will get 1/2 sheets each
Step-by-step explanation:
3x to the power of 2 +6x=0 what is the degree of this polynomial?
Answer:
[tex]\huge\boxed{2}[/tex]
Step-by-step explanation:
Given Polynomial is:
[tex]3x^2 + 6x = 0[/tex]
Degree of polynomial is the highest power on the variable.
Here 2 is the highest power on the variable, So, it is the degree of polynomial.
Choose the algebraic expression that represents the area of a triangle that has a base 8 inches less than 2 times wider than the hight.?
A. (1/2)(2b+8)(b)
B. (1/2)(2h-8)(h)
C. (1/2)(2h)(h-8)
I’m not sure if it’s either B or C
Answer:
B. (1/2)(2h-8)(h)
Step-by-step explanation:
Area of a triangle = 1/2 × base × height
Let
Height = h
Base = 8 inches less than 2 times wider than the hight
= 2h-8
Substituting the values of base and height into the formula
We have,
Area of a triangle = 1/2 × base × height
= 1/2 × (2h-8) × h
= (1/2)(2h-8)(h)
The correct answer is option
B. (1/2)(2h-8)(h)
A triangle is inscribed in a rectangle as shown below what is the area of the shaped region
The area of the shaded region is [tex]47.5cm^2[/tex].
Area of the shaded region.The area of the shaded region is the area of the whole region minus the area of the unshaded region.
How to find the area of the shaded region?The area of the whole region is equal to the area of the rectangle as a triangle is inscribed in a rectangle and the area of the unshaded region is equal to the area of the triangle.
Then the area of the shaded region will be the area of the rectangle minus the area of the triangle.
The area of the rectangle will be [tex]A_{1}=base\times height[/tex] where the base = 11 cm and height = 5cm.
Then we will get
[tex]A_{1}=11\times5\\A_{1}=55cm^2[/tex]
Now the area of the triangle is [tex]A_{2}=\dfrac{base\times height}{2}[/tex] where the base = 5cm and the height = 3cm.
Then we will get
[tex]A_{2}=\dfrac{5\times3}{2} \\A_{2}=\dfrac{15}{2}\\ A_{2}=7.5[/tex]
Then the area of the shaded region will be [tex]55-7.5=47.5cm^2[/tex].
So, the area of the shaded region is [tex]47.5cm^2[/tex]
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can you help me solve this
Answer:
6 hours
Step-by-step explanation:
Subtract 553 from 265 to find the price without parts, we get 288
then divide 288 by 48. We get 6
This means 6 there was 6 hours of labor
Is 5 a rationl or a irratinal
I hope this helps! :)
5 is a rational number!
Pls mark as BRAINLIEST
5 is a rational number because it can be written as a fraction; [tex]\frac{5}{1}[/tex]
♡ Hope this helps! ♡
❀ 0ranges ❀
The weight in pounds of a baby in the first six months of life can be modeled by the
function w = 1.5m +7, where x is the age of the baby in months. According to this model,
what is the weight, in pounds, of a baby at 5 months of age? Numerical answer only.
Answer:
14.5
Step-by-step explanation:
You would plug 5 into the equation for m and have w = 1.5 (5) + 7
Then you would multiply 1.5 and 5 and get 7.5 and then add 7 and get 14.5
The weight of the baby in pounds at 5 months of age is 14.5 pounds.
Given,
The weight in pounds of a baby in the first six months of life can be modeled by the function:
w = 1.5m +7, where x is the age of the baby in months.
According to this model, we need to find what is the weight, in pounds, of a baby at 5 months of age.
What is a function?A function has an input and an output.
Example:
f(x) = x + 1
x = 1, f(1) = 1 + 1 = 2
Here,
x = 1 is the input and 2 is the output.
We have,
Function:
w = 1.5m + 7
We can consider that m = number of months.
This is why the question says this model can be used to find the weight of the baby in the first six months by putting m = 6.
w = 1.5m + 7
Here,
7 = the weight of the baby at birth
1.5m = baby weight increases by 1.5 per month.
Now,
The weight in pounds of the baby at 5 months of age is:
m = 5 months
w = 1.5 m + 7
w = 1.5 x 5 + 7
w = 7.5 + 7
w = 14.5 pounds.
Thus the weight of the baby in pounds at 5 months of age is 14.5 pounds.
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(06.06 MC) The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
Step 1: 8 + 12x
Step 2: 4(2) + 4x(2)
Step 3: 4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x
In which step did the student first make an error and what is the correct step?
Step 2; 4(2) + 4x(2)
Step 2; 4(2) + 4(3x)
Step 3; 4 + (4 + 8x)
Step 3; 4 + (4 ⋅ 8x)
Step- by- step explanation
Answer:
step 2
Step-by-step explanation:
theres a one in front of the () meaning it should have look like this
4+4x+2
Answer:The correct option is 2.Step-by-step explanation:It is given that the area of a rectangle is 8+12x and width of the rectangle is 4.We need to find the dimensions of the rectangle.Area of a rectangle isIt means the factors of expression of area represent the dimensions.The correct steps are shown below:Step 1: 8 + 12xStep 2: 4(2) + 4(3x)Step 3: 4(2 + 3x) Step 4: Dimensions of the rectangle are 4 and 2 + 3x.Student made an error in step 2 and the correct step is 4(2) + 4(3x). Therefore the correct option is 2.
Please help with questions 7-10! I have to turn it in soon and I’m so lost!
Answer:
7)c
8)d
9)b
10)a
Step-by-step explanation:
Write a proportion to solve this problem When planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 use their function room the guests they planned on inviting . They have since changed their plans and expect to invite 107 guests. How much should they plan to pay for the function room ?
Answer:
or word problems 16-21: 1) Declare a variable 2) Write an equation 3) Solve. ... planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 to use their function room for the 60 guests they planned on inviting.
Step-by-step explanation:
I also need help with 1,000,000 in exponential form , 10x10 , and 10,000 x10 please
Answer:
1,000,000= 10^6
10 times 10 is 100 (10^2)
10,000 times 10 is 100,000 (10^5)
A scientist is conducting a study on the effect of eating chocolate and overall mood. They believe that gender is a significant factor. The participants are divided by gender. Then, within each group, participants are randomly assigned to consume either chocolate or a placebo and then rate their mood for the day. This experiment will run for two weeks. Which type of experimental design does this situation describe?
A. Randomized Block Design.
B. Matched-Pair Design.
C. Case-Control Design.
D. Completely Randomized Design.
Answer:
The correct option is;
A. Randomized block design
Step-by-step explanation:
A randomized block design is one where the sample or subjects of the experiment are split into groups called blocks of experimental units where the variation in each block is lower than the variation among or between blocks, such that variation is controlled. In a random order, the treatments are performed on each experimental of the blocks.
In the question, the experimental units are grouped by gender and the treatment (consumption of chocolate or placebo) is randomly administered to the experimental units.
Amy and Jed are among the 35 people, who are standing in a line, one behind the other, waiting to buy movie tickets. The number of people in front of Amy plus the number of people behind Jed is 24. If there are 15 people behind Amy, including Jed, how many people are in front of Jed
Answer: 29
Step-by-step explanation:
Given : Total people in the line = 35
Number of people behind Amy = 15
⇒Number of people in front of Amy = Total people - (Amy and people behind Amy)
= 35-15-1
= 19
According to the question,
Number of people in front of Amy + Number of people behind Jed =24
⇒ 19 + Number of people behind Jed =24
⇒ Number of people behind Jed =24 -19 = 5
Then, Number of people are in front of Jed = 35 - (Jed and people behind Jed)
= 35-(5+1)
= 35-6=29
Hence, there are 29 people are in front of Jed.
easy 10 points and brainliest :)
Answer:
y=0
Step-by-step explanation:
branliest
Answer:
2. Y=O
Step-by-step explanation:
I really don't have a good explanation but that's it
Multiple choice algebra question
Answer:
Vertical translation of 4 units.
Step-by-step explanation:
If you add 4 to y, you would move up 4 because the y axis is vertical.
What is x^-4/x^8??????
Answer:
1 / (x^12)
Step-by-step explanation:
x^-4 = 1/x^4
1 / (x^4)(x^8) = 1/ (x^12)
ter 1: Interval Notation and Set Notation > Section Exercises 1.1 > Exercise 37
You are marking a rectangular paintball zone that must be 34 meters wide and have a perimeter of at least 140 meters but not more than 260 meters Find the interval for
the length 2 of the rectangular paintball zone. Write your answer in interval notation,
The interval for z is
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Width(w) of rectangular paintball must be = 34 meters
Perimeter of atleast 140m but not more than 260 meters
Perimeter of a rectangle (p) : 2 (l + w)
P = 140
Then ;
140 = 2(l + 34)
140 = 2l + 68
140 - 68 = 2l
72 = 2l
l = 72/ 2 = 36 meters
P = 260
260 = 2(l + 34)
260 = 2l + 68
260 - 68 = 2l
192 = 2l
l = 192/ 2 = 96 meters
Hence the length must be between 36 meters and 96 meters
The interval z, for the length :
36 ≤ z ≤ 96
Let $a \bowtie b = a+\sqrt{b+\sqrt{b+\sqrt{b+...}}}$. If $7\bowtie g = 9$, find the value of
================================================
Work Shown:
[tex]a \bowtie b = a + \sqrt{b+\sqrt{b+\sqrt{b+...}}}\\\\7 \bowtie g = 7 + \sqrt{g+\sqrt{g+\sqrt{g+...}}} = 9\\\\\sqrt{g+\sqrt{g+\sqrt{g+...}}} = 2[/tex]
After subtracting 7 from both sides.
Note how because we have an infinite sequence of nested radicals, we can let [tex]x = \sqrt{g+\sqrt{g+...}}[/tex] which means x is equal to 2 as well.
This lets us say
[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}} = \sqrt{g+x} = x[/tex]
Solve the equation [tex]\sqrt{g+x}= x[/tex] for x to get
[tex]\sqrt{g+x} = x\\\\g+x = x^2\\\\x^2-x-g = 0\\\\x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(1)(-g)}}{2(1)}\\\\x = \frac{1\pm\sqrt{1+4g}}{2}\\\\x = \frac{1+\sqrt{1+4g}}{2} \ \text{ or } \ x = \frac{1-\sqrt{1+4g}}{2}[/tex]
Since x is positive, this means we only focus on the first equation in the last line above.
Earlier we let x be equal to the infinite nested radicals involving g, but x is also equal to 2. So plug in x = 2 and use that to find g.
[tex]x = \frac{1+\sqrt{1+4g}}{2}\\\\2 = \frac{1+\sqrt{1+4g}}{2}\\\\4 = 1+\sqrt{1+4g}\\\\3 = \sqrt{1+4g}\\\\9 = 1+4g\\\\1+4g = 9\\\\4g = 8\\\\g = 2\\\\[/tex]
As a check, we can do the following
[tex]7 + \sqrt{2+\sqrt{2}} \approx 8.84775906502258\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2}}} \approx 8.96157056080647\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2}}}} \approx 8.9903694533444\\\\[/tex]
we're slowly approaching 9
Answer: [tex]g = \boxed{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}}=2[/tex]
implies that
[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}}=\sqrt{g+2}=2[/tex].
Squaring both sides of this new equality, we have [tex]g + 2 = 4 \implies g = \boxed{2}[/tex]
Please help with #32
Answer:
The temperature at 10 pm was -1 degrees and the arrows helped you understand when the temperature increased and decreased.
Step-by-step explanation:
At 8 am, we know that the temperature is -3 degrees, or 3 degrees below zero. By 1 pm, the temperature has risen by 14 degrees and is now 11 degrees. We know this because -3+14=11. Now by 10 pm, the temperature has dropped 12 degrees which means that it's -1 degrees. (11-12=-1) The plot points would be all of the temperatures, or -3, 11, and -1. The arrows you need to draw are from -3 to 11 (an increase) and from 11 to -1 (a decrease). Drawing the arrows this way represents the temperature at different times and how it changed over time.
Diagram 2 shows a piece of rectangular card in grey colour
The white region is a ribbon with width y cm. The area of the card which is not covered by the ribbon is 96 cm.
Form an equation, in terms of x and y, based on the statements above.
Solution:
we have given the length of the rectangular card-
[tex]x + 5 \: cm[/tex]
and, width-
[tex]7 \: cm[/tex]
now, the area of the card will be- length×width.
so, we have-
[tex](x + 5) \times 7 \: cm^{2} \\ 7x + 35 \: cm^{2} [/tex]
we also have given the length of ribbon-
[tex]7 \: cm[/tex]
and, width-
[tex]y \: cm[/tex]
so, area of the ribbon is-
length×width
[tex]7 \times y \: cm^{2} \\ 7y \: cm^{2} [/tex]
now the area of shaded gray region will be-
[tex]7x + 35 - 7y[/tex]
Hence, the required expression would the above expression.
plz answer it, plz answer it, plz answer it.
Given that :-
x+y < 5 3 < x < 5To Find :-
Value of ySolution :-
The fist expression x + y < 5 states that sum of x and y could be any rational number less than 5 .
And the second expression 3 < x < 5 states that value of x could be any rational number between 3 and 5.
Let's check which option suits best.
Is it possible to have value of 8/3 by y ?
→ x + 8/3 < 5
→ x < 5 - 8/3
→ x = 7/3
7/3 is a rational number . So y as 8/3 is possible value.
→ 7/3 = 2.33
But value of x should be greater than 3 .
So option A is wrong.
Is it possible to have value 2 by y ?
→ x +2 < 5
→ x < 5-2
→ x < 3 .
But value of X should be greater than 3.
So option B is also incorrect.
Is it possible to have value 0 by y?
→ x +0 <5
→ x < 5
It also fullfill 2nd expression that X should have value less than 5 and greater than 3.
So option C is valid .
Value of y is 0 .
A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the width. Material for the base costs 13 dollars per square meter. Material for the sides costs 9 dollars per square meter. Find the cost of materials for the cheapest such container.
Answer:
419.25
Step-by-step explanation:
The calculation of the cost of materials for the cheapest such container is shown below:-
We assume
Width = x
Length = 2x
Height = h
where, length = [tex]2 \times width[/tex]
Base area = lb
= [tex]2x^2[/tex]
Side area = 2lh + 2bh
= 2(2x)h + 2(x)h
= 4xh + 2xh
Volume = 24 which is lbh = 24
[tex]h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}[/tex]
Now, cost is
[tex]= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}[/tex]
now we have to minimize C(x)
So, we need to compute the C'(x)
[tex]= 52x - \frac{648}{x^2}[/tex]
C"(x) [tex]= 52x - \frac{1,296}{x^3}[/tex]
now for the critical points, we will solve the equation C'(x) = 0
[tex]= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}[/tex]
[tex]C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0[/tex]
So, x is a point of minima that is
= [tex](\frac{648}{52} )^\frac{1}{3}[/tex]
Now, Base material cost is
[tex]= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}[/tex]
= 139.75
Side material cost is
[tex]= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }[/tex]
= 279.50
and finally
Total cost is
= 139.75 + 279.50
= 419.25
The cost of the side material is $279.50, the cost of the base material is $139.75 and the total cost is $419.25 and this can be determined by using the arithmetic operations.
Given :
A rectangular storage container with an open top is to have a volume of 24 cubic meters.The length of its base is twice the width.Material for the base costs 13 dollars per square meter.Material for the sides costs 9 dollars per square meter.Let the width of the rectangular storage container be 'x' then according to the given data the length is '2x' and let the height of the container be 'h'.
The base area of the rectangular storage container is given by:
Base Area = [tex]2x^2[/tex] ----- (1)
The side area of the rectangular storage container is given by:
Side Area = 2(2x)h + 2xh
= 6xh ---- (2)
Now, the volume of the rectangular storage container is given by:
Volume = lbh
Put the values of known terms in the above equation.
24 = [tex]2x^2h[/tex]
[tex]h = \dfrac{12}{x^2}[/tex]
Now, the cost is given by:
[tex]\rm C(x)=13(2x^2)+9(6xh)[/tex]
[tex]\rm C(x)= 26x^2 + \dfrac{648}{x}[/tex]
Now, to minimize C(x) differentiate the C(x) with respect to x.
[tex]\rm C'(x)=52x -\dfrac{648}{x^2}[/tex] ---- (3)
Now, equate the above equation to zero.
[tex]0 = 52x =\dfrac{648}{x^2}[/tex]
[tex]x = \sqrt[3]{\dfrac{648}{52}}[/tex]
Now, differentiate equation (3) with respect to x.
[tex]\rm C"(x) = 52+\dfrac{1296}{x^3}[/tex]
Now, put the value of x in the above equation.
[tex]\rm C"(x) = 52+\dfrac{1296}{\dfrac{648}{52}}[/tex]
[tex]\rm C"(x) = 52+104[/tex]
[tex]\rm C"(x) = 156 > 0[/tex]
Therefore, 'x' is the point of minima.
Now, the cost of the base material is:
[tex]= 13\times 2 \times (\dfrac{648}{52})^\frac{2}{3}[/tex]
= $139.75
Now, the cost of the side material is:
[tex]=\dfrac{648}{\sqrt[3]{\dfrac{648}{52}} }[/tex]
= $279.50
Therefore, the total cost is given by:
= 139.75 + 279.50
= $419.25
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Find the missing factor 8^3=(-2x)(A)
-256.
how? 8 times 8 times 8 is 512.
512/2 is 256. But two negatives make a positive. So, it's -256.
What are the maximum and minimum values for the measurement 15 cm?
Answer: (14.5cm, 15.4cm)
Step-by-step explanation:
We have a measure of 15cm.
This may be a rounded up or rounded down number.
Now, when we want to round at a given digit, we need to see to the previous digit.
If the previous digit is larger than 5, then we round up.
If the previous digit is 5 or smaller, then we round down.
Then, the largest number such that we rounded down to 15cm, is:
15.4cm
The smallest number such that we rounded up to 15cm is:
14.5cm
Then the range of possible values is:
How is 0.02 the same and different from 0.002
Answer:
0.02 is different from 0.002 because 0.02 is greater than 0.002
0.02 and 0.002 are the same because they are both decimal numbers
Step-by-step explanation:
0.02 = 2 / 100
0.002 = 2 / 1000
0.02 < 0.002
0.02 is different from 0.002 because 0.02 is greater than 0.002
0.02 can also be written as 2 × 10^2
0.002 can also be written as 2 × 10^3
0.02 and 0.002 are the same because they are both decimal numbers
Two friends went fishing on a lake. One friend's lure went 23 feet below the lake's surface, while the other friend's lure sank to a depth of 81 feet below the surface. What was the difference in the depths of the lures?
Answer:
[tex]Distance = 58\ feet[/tex]
Step-by-step explanation:
Represent the lure's difference with A and B;
[tex]A = 23\ feet[/tex]
[tex]B = 81\ feet[/tex]
Required
Determine the difference in depth between the lure's depth
The distance is calculated as follows;
[tex]Distance = B - A[/tex]
Substitute 23 feet for A and 81 feet for B
[tex]Distance = 81\ feet - 23\ feet[/tex]
[tex]Distance = 58\ feet[/tex]
Hence, the distance between both lure's is 58 feet
the sum of 2 positive integers is 3. the sum of their squares is 5. find the 2 numbers
Answer:
2 and 1
Step-by-step explanation:
1 + 2 = 3
(1*1) + (2*2) = 5
Answer:
2 and 1
Step-by-step explanation:
just simply subtract the sum of two numbers from one of the given numbers that is 3-2=1
now simpliy take the square of 1 and 2
1+4=5