Answer:
3/20
Step-by-step explanation:
stefan sell 1/5 × 3/4 = 3/20 boxes of candy
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.
Find the inverse function.
2x + 5
4
[ ? ]x + []
Answer:
The answer is in the picture.
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:
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
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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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
How many ways can 3 prizes be awarded to 8 people?
Answer:
(a) 8P3 =336;
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.
Learn more about Volume:
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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!
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:
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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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.
plz, help! thanks
a,b,c, or d
Answer:
3rd option
Step-by-step explanation:
Given
[tex]\frac{x^2-10x+21}{x^2+x-12}[/tex] ← factor numerator and denominator
= [tex]\frac{(x-7)(x-3)}{(x+4)(x-3)}[/tex] ← cancel (x - 3) on numerator / denominator
= [tex]\frac{x-7}{x+4}[/tex]
Step-by-step explanation:
c is the correct answer of this question.
HELP!!! QUICK!! PLEASE!! ITS TIMED OMG
Answer:
57.12 cm²
Step-by-step explanation:
area = (9.28 + 5) × 8/2
= 14.28 × 4 = 57.12 cm²
Can someone help me
Answer:
See explanation for answer.
Step-by-step explanation:
I'm not sure if this correct but I think the answer is the second one.
I hope this helps!
Have a lovely day!
add √125+2√27 and -5√5-√3
Answer:
Step-by-step explanation:
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
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.
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!
Simplest form
3x^3-5x^2-27x+45
Answer: (3x-5)(x+3)(x-3)
Step-by-step explanation:
The question itself if pretty explanatory I need this done quick please
Answer:
2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
8/4 = 2
[tex]\sqrt{20} / \sqrt{4}[/tex] = [tex]\sqrt{5}[/tex]
Therefore: 2[tex]\sqrt{5}[/tex]
Hope this helps!
Answer:
[tex]2\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\frac{8\sqrt{20}}{4\sqrt{4}} = \frac{2 \cdot 4 \cdot \sqrt{4} \cdot \sqrt{5}}{4 \cdot \sqrt {4}} = 2\sqrt{5}[/tex]
Help a fellow out please
Answer:
24.27 cm
Step-by-step explanation:
sin 65 degrees = 22/x, so:
1 x
------------------ = ------
sin 65 deg 22
so x = 22 / (sin 65 deg) = 22/0.906 = 24.27 cm
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
I need help with this question, please
Answer:
10
Step-by-step explanation:
bh/2
b=5
h=4
=5×4/2
=20/2
=10
1. You have $180 to spend on video games. The inequality 6x + 60y = 180
represents the number x of used video games and the number y of new
video games that you can purchase. Graph the inequality and identify can
you purchase 10 used video games and 3 new video games? Explain.
Answer:
No, that would cost more than $180.
Step-by-step explanation:
6(10)+60(3)≤$180
60+180 = $240
$240≤$180
Hope this helps!
PLZZZZZZ SOMMMEONEEEE HELLLPPPPPP
Answer:
9765625
Step-by-step explanation:
[tex] {5}^{5} \times {5}^{5} = 9765625[/tex]
Answer:
[tex]{5}^{7} [/tex]
Step-by-step explanation:
[tex] {5}^{5 + 2} [/tex]
=
[tex] {5}^{7} [/tex]
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
Answer if you know
don't copy
[tex]\green{\dfrac{(2^x + 22^x + 222^x)}{(3^x + 33^x + 333^x)} =\dfrac{ 9}{4}}[/tex]
[tex]\bold{\blue{\dfrac{2^{x}+(22)^{x}+(222)^{x}}{3^{x}+(33)^{x}+(333)^{x}}=\dfrac{9}{4}} }[/tex]
[tex]\bold{\pink{\dfrac{2^{x}+(22)^{x}+(222)^{x}}{3^{x}+(33)^{x}+(333)^{x}}=[\dfrac{4}{9}]^{-1} }}[/tex]
[tex]\bold{\green{\dfrac{2^{x}(1+11^{x}+111^{x})}{3^{x}(1+11^{x}+111^{x})}=((\dfrac{2}{3})^{{{2}}})^{{{-1}}} }}[/tex]
[tex]\bold{\orange{\dfrac{2^{x}\cancel{(1+11^{x}+111^{x})}}{3^{x}\cancel{(1+11^{x}+111^{x})}}=(\dfrac{2}{3})^{-2} }}[/tex]
[tex]\bold{\purple{\dfrac{2^{x}}{3^{x}}=(\dfrac{2}{3})^{-2} }}[/tex]
[tex]\bold{\red{(\dfrac{2}{3})^{x} =(\dfrac{2}{3})^{-2} }}[/tex]
[tex]\bold{\green{ x=-2 } }[/tex]
Answer:
Step-by-step explanation:
simplify upper n lower fraction of LHS:
2^x+22^x+222^x
= 2^x*1 + (2*11)^x + (2*111)^x
= 2^x*1 + 2^x*11^x + 2^x*111^x
= 2^x*(1+11^x+111^x)
3^x+33^x+333^x
= 3^x*1 + (3*11)^x + (3*111)^x
= 3^x*1 + 3^x*11^x + 3^x*111^x
= 3^x*(1+11^x+111^x)
so LHS
= 2^x*(1+11^x+111^x) / (3^x*(1+11^x+111^x))
= 2^x / 3^x
= (2/3)^x
RHS = 9/4
= (3^2/ 2^2)
= (3/2)^2
= (2/3)^(-2)
so x = -2
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
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