Answer:
$3.45
Step-by-step explanation:
Let "x" repreesnt the cost of one box. If 8 = 27.60, 1 = "x". Set up a fraction, then solve;
[tex]\frac{8}{27.6}=\frac{1}{x}[/tex]
Step 1: Divide 27.6 by 8
[tex]27.60 \div 8 = 3.45[/tex]
Step 2: Multiply the result by 1
[tex]3.45 \times 1 = 3.45[/tex]
That means 1 cereal box costs 3.45 dollars.
Solve for xxx. Enter the solutions from least to greatest.
x^2 + x - 30 = 0x
2
+x−30=0
Given:
The quadratic equation is:
[tex]x^2+x-30=0[/tex]
To find:
The solutions of the given equation.
Solution:
We have,
[tex]x^2+x-30=0[/tex]
Splitting the middle term, we get
[tex]x^2+6x-5x-30=0[/tex]
[tex]x(x+6)-5(x+6)=0[/tex]
[tex](x+6)(x-5)=0[/tex]
Using zero product property, we get
[tex]x+6=0[/tex] and [tex]x-5=0[/tex]
[tex]x=-6[/tex] and [tex]x=5[/tex]
Therefore, the solutions of the given quadratic equation are -6 and 5.
What is the length of the hypotenuse?
=>(hypotenuse)^2=(base)^2+(perpendicular)^2
=>(h)^2=(15)^2+(8)^2
=>(h)^2=289
=>h=√289
=>h=17 yd
Hope it helps you
225+64=289 is your answer
Susie wants to try out for the football team. She asks her classmates if they think its a good idea. Of the girls, 10 say yes and 4 say no. Of the boys, 8 say yes, and 5 say no. What fraction of the people Susie surveyed are boys? What fraction are boys??
NEED ASAP PLEASE AND THANK YOU
Answer:
13 / 25 were boys
14 / 25 were girls
Step-by-step explanation:
Of the girls 10 said no and 4 said yes
10 + 4 = 14 so she asked a total of 14 girls
Of the boys 8 said yes and 5 said no
8 + 5 = 13 so she asked a total of 13 boys
she asked 14 girls and 13 boys
14 + 13 = 25 so she asked a total of 25 people
Out of the 25 people she asked 13 of them were boys
So 13 out of 25 people we boys
or 13 / 25
which means 14 out of 25 were girls
or 14 / 25
can someone PLEASE HELP me with this??? i really don't know what to do
A cylinder has a height of 10 ft and a volume of 25,456 ft³.
The radius of the cylinder is approximately ___ feet.
Round your answer to the nearest whole number.
[tex]\sf\purple{The\:radius\:of\:the\:cylinder\:is\:approximately \:28 \:ft.}[/tex]
Given:-[tex]\sf\blue{Height\:of\:the\:cylinder\:(h) }[/tex] = 10 ft.
[tex]\sf\pink{Volume\:of\:the\:cylinder}[/tex] = 25,456 ft³.
To find:-[tex]\sf\purple{The\:radius\:of\:the\:cylinder.}[/tex]
Step-by-step explanation:-We know that,
[tex]\sf\red{Volume\:of\:a\:cylinder}[/tex] =[tex]\pi {r}^{2} h \\ ✒ \: 25456 \: {ft}^{3} = \pi {r}^{2} \times 10 \: ft \\ \: ✒ \: {r}^{2} = \frac{25456 \times 7 \: {ft}^{3} }{22 \times 10 \: ft} \\ ✒ \: {r}^{2} \: = \frac{178192 \: {ft}^{2} }{220} \\ \: ✒ \: {r}^{2} = 809.9636 \: {ft}^{2} \\ \: ✒\: r \: = \sqrt{809.9636 \: {ft}^{2} } \\ ✒ \: r \: = 28.45 \: ft[/tex]
Hence, the radius of the cylinder is 28.45 feet.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
if that is = a, find the value of a + 1 over a
[tex]3 - \sqrt{5} [/tex]
Answer:
7+√5/4
Step-by-step explanation:
if that is = a, find the value of a + 1 over a
Given that a = 3 - √5
a+1/1 = (3-√5)+1/3 - √5
4-√5/3 - √5
Rationalize
4-√5/3 - √5 * 3+√5/3 + √5
= 12 +4√5-3√5-√25/9-5
= 12+√5-5/4
= 7+√5/4
Hence the requred answer is 7+√5/4
Determine if the following lines are parallel, perpendicular or neither.
2 y+4x=12
y=-2x-3
neither
O perpendicular lines
parallel lines
Answer:
neither
Step-by-step explanation:
one lines slope is 2 and the other is -2
Find the value of x.
163
(5x - 3) (3x + 8)
Answer:
[tex]x = 14[/tex]
Step-by-step explanation:
[tex](5x - 3) + 63 + (3x + 8) = 180 \\ 8x + 68 = 180 \\ 8x = 112 \\ x = 112 \div 8 \\ x = 14 \\ so \\ (5 \times (14) - 3) = 67 \\ (3 \times (14) + 8) = 50[/tex]
Find the volume of the composite solid. Round your
anwser to the nearest hundredth.
Answer:
226.19 [tex]cm^{3}[/tex]
Step-by-step explanation:
Vol. of cone = Bh/3 where B is the area of the base(circle) and h is the height of the cone.
r = 3 h = 3
V = [tex]\frac{\pi *3^{2}*3 }{3}[/tex] = 9π
Vol. of the cylinder = Bh where B is the base(circle) and h is the height of the cylinder.
r = 3 h = 10 - 3 = 7
V = [tex]\pi *3^{2} * 7[/tex] = 63π
Total volume = 9π + 63π = 72π = 72(3.1416....) = 226.19
Volume is a three-dimensional scalar quantity. The volume of the composite figure will be 226.194cm³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the composite solid is the sum of the slanted cylinder and the cone. Therefore, the volume will be,
Volume = Volume of cone + Volume of slant cylinder
= [(1/3)πr²h] + [πr²H]
= [(1/3)×π×(3)²×3] + [π×(3)²×7]
= 28.274 cm³ + 197.920 cm³
= 226.194 cm³
Hence, the volume of the composite figure will be 226.194cm³.
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Use the circle what is the measure of arc ED
Find the inverse function.
2x + 5
4
[ ? ]x + []
Answer:
The answer is in the picture.
What is the value of X pleaseee answer fast
Please answer right no links thank you
Answer:10
Step-by-step explanation: If you see that the vocabulary questions is 20 percent of the total number of questions which is 50, then you multiply 20/100 with 50 which is 1/5 of 50 which is 10 questions. Hope this helps
what is the answer to this no links
Answer:
6 ÷ 2(1+2)
From
PEMDAS
We deal with Parenthesis first, Then Multiplication before division.
6÷ 2(3)
6÷6
6/6 = 1.
Answer:
1
Step-by-step explanation:
= 6 ÷ 2(3)
= 6 ÷ 2 of 3
= 6 ÷ 6 (∵ Using BODMAS rule)
= 1
i need help
8 1/4 x 4 1/2 x 6 1/2
Answer:
[tex]241\frac{5}{16}[/tex]
Step-by-step explanation:
Please help due soon you'll get 20 points. (Multiple choice, both true and false questions)
Answer: first one: false second one: true
Step-by-step explanation:
How many ways can 3 prizes be awarded to 8 people?
Answer:
(a) 8P3 =336;
June can paint a room in 5 hours. Kathryn can paint the same room in 3 hours. How long will it take them to paint the room together?
Answer:
5hours - 3hours = 2hours
If the area of a rectangle is expressed as x4 - 9y2, then the product of the length and the width of the rectangle could be expressed as 1) (x - 3)(x + 3y) 2) (r? – 3y)(x2 + 3y) 3) (r? – 3y)(r? - 3y) 4) (x +y)(x-9y)
Answer:
Step-by-step explanation:
the area of the rectangle is a difference of two squares
so it can be expressed
(x^2-3y)(x^2+3y)
Answer:
(x^2-3y)(x^2+3y) if you multiply them all together you get the final answer of x^4-9y^2
hope this helps
have a good day :)
Step-by-step explanation:
Dan had $34 to spend at the fair. If the admission to the fair is $10 and the rides cost $1.50 each, what is the greatest number of rides Dan can go on?
Answer:
34-10 for admission= 24. if each ride cost 1.50, you can take 1.50x16 and get 24.00. He can go on 16 rides.
Cindy's square-shaped garden has side lengths of x ft. She will plant 5 tulip bulbs per square foot. Write a function g to model the number of bulbs she should plant. How many bulbs will she plant if the garden has a side length of 8 feet? for this problem what is the function we need to write g(x)=?
Answer:
The total number of bulbs are "320 bulbs".
Step-by-step explanation:
According to the question,
The square garden's side length,
x = 8 feet
Number of tulip bulbs she plant,
= 5
Now,
As per the question, the area of square will be:
⇒ [tex]A=x^2[/tex]
[tex]=(8)^2[/tex]
[tex]=64[/tex]
hence,
The total number of bulbs will be:
⇒ [tex]n=A\times 5[/tex]
[tex]=64\times 5[/tex]
[tex]=320 \ bulbs[/tex]
Thus the above is the correct solution.
Convert to cups.
27.2 fluid ounces
A. 3.4 cups
B. 6.8 cups
C. 54.4 cups
D. 4.4 cups
Answer:
A - 3.4
Step-by-step explanation:
Please help ASAP!!!!!!!!
Answer:
3, 5, 6
Step-by-step explanation:
Angles that will be congruent to the given angle, 94° would be any angle that is corresponding to 94°, any angle that is vertical to 94°, any angle that is the alternate interior angle to 94°.
Thus.
Angle 3 = 94° (vertical angles)
Angle 5 = 94° (corresponding angles)
Angle 6 = 94° (alternate interior angles)
Find the volume of the rectangular prism
Answer:
Hello! answer: volume = 216
Step-by-step explanation:
Volume for rectangular prisms are found by doing length × width × height so... 6 × 4 × 9 = 216 therefore the volume is 216 hope that helps!
The ratio of boys to girls at the Milwood School is 4 to 5. If there are a total of 27
children at the school, how inany boys attend the Milwood School?
Answer: 12 boys attend Millwood School.
Step-by-step explanation:
Yeah. It just makes sense. I am bad at explaining. Sorry!
The ratio shows how many times one value is contained in another value.
The ratio of boys to girls at the Milwood School is 4 to 5.
The number of girls that attended the Milwood school is 15.
The number of boys that attended the Milwood school is 12.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio of boys to girls at the Milwood School is 4 to 5.
Total number of children = 27
Let the number of boys = 4x
Let the number of girls = 5x
Now,
4x + 5x = 27
9x = 27
x = 3
Now,
The number of boys = 4x = 4 x 3 = 12
The number of girls = 5x = 5 x 3 = 15
Thus,
The number of boys that attended the Milwood school is 12.
Learn more about ratios here:
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a gift box has the shape of a rectangular prism. how much wrapping paper do you need to cover the box?
Answer:
You will need 411 inches
Step-by-step explanation:
To solve this problem you have to find the surface area.
First, multiply.
7 × 13 = 91
16 × 7 = 112
16 × 13 = 208
Then add.
91 + 112 + 208 = 411
You will need 411 inches of wrapping paper to cover the box.
Have a great day!
Need answer ASAP !!!
Answer:
x^2-12x+37
Step-by-step explanation:
Let's start by putting this into vertex form which will be (x-6)^2+1
Now lets solve our equation to get parabola standard form
x^2-12x+37
The diameter of a circle is 825 centimeters. Enter the area of the circle, in square centimeters. Round your answer to the nearest TENTH.
Answer:
534561.63
Explanation:
used calculator lolololololol
The length of a garden is 25 m. Find the width knowing that the area is between 300 m2 I need it now pls
Answer: 12m
Step-by-step explanation:
Assuming the garden is a rectangular one, the area can be calculated by the formula:
Area = Length * Width
Given the length, one can find the width by making it the subject of the formula:
300 = 25 * Width
Width = 300 / 25
= 12 m
hi! i’m really confused, so if anyone could help me.. that would be nice!
Answer:
I beleave that it is 12 because it look like for every 1 unit to the right it goes up 12.
Find the sum of the first eight terms of a geometric series is the fourth term of 25 in the constant ratio is 3/5 . Answer your answer as a decimal rounded to two places
25 = a1(1- (0.6)⁴)/(1-0.6)
25 = a1 (1- 0.13)/(0.4)
10 = a1(0.87)
a1 = 11.49
S8 = 11.49(1- (0.6)^8)/(1-0.6)
= 11.49(1-0.017)(1-0.6)
= 11.49(0.983)/0.4
= 28.24
The sum of the first eight terms of the given geometric series is; 28.24
How to find the sum of a geometric series?
We are told that the sum of the first four terms of the geometric series is 25. Thus, formula for sum of n terms of a geometric series is;
Sₙ = a(1 - rⁿ)/(1 - r)
where;
a is first term
r is common ratio
Thus;
25 = a(1 - (0.6)⁴)/(1 - 0.6)
25 = a(1 - 0.13)/(0.4)
10 = 0.87a
a = 11.49
Thus, sum of the first 8 terms of the series is;
S₈ = 11.49(1 - 0.6⁸)/(1 - 0.6)
S₈ = 11.49(1 - 0.017)(1 - 0.6)
S₈ = 28.24
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