Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003
What are decimal numbers?
Decimal numbers are numbers that includes the dot in between. Given the percentage value expressed as:
0.3%
This can be expressed as;
0.3% = 0.3/100
Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003
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A breakfast bar comes in two sizes. The 5-ounce bars come in a box of 10. A box of the 7-ounce has 6 bars. The 5-ounce bar contains 15 grams of dietary fiber. How many grams of dietary fiber are in one box of the 7-ounce bars?
126 Grams Per Box
Step-by-step explanation:
15 grams of fiber / 5 ounces = 3 grams
3g X 7oz = 21g
21g X 6b = 126g
G - Grams
Oz - Ounces
B - Bars
The ratio of the one leg of
the right triangle to the other
leg of the right triangle must
be 8:7. Determine the
greatest length of one leg of
the right triangle given the
other leg of the right triangle
is 10.5 feet.
The legs of the triangle are 6.91 feet, 7.9 feet, and 10.5 feet.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The ratio of the one leg of the right triangle to the other leg of the right triangle must be 8:7.
Let x be one leg and y be another leg. Then we have
x/y = 8/7
y = 7x/8
Then the greatest length of one leg of the right triangle given the other leg of the right triangle is 10.5 feet will be
10.5² = x² + (7x/8)²
110.25 = x² + 49x²/64
110.25 = 113x²/64
x² = 62.44
x = 7.902
x ≅ 7.9 feet
Then the other leg will be
y = 7.9 x 7 / 8
y = 6.91
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( Brain + 100 points ) A triangle has an area of 30 cm squared. What might the base and height be? Give 3 examples.
[tex]\text{The base and height have to be factors of 60, since}\\\\~~~~~~~~\text{Area}= \dfrac{1}{2} \times \text{Base} \times \text{Height}\\\\\implies 30 = \dfrac 12 \times \text{Base} \times \text{Height}\\\\\implies \text{Base} \times \text{Height}= 60[/tex]
[tex]\textbf{Example 1:}\\\\\text{Height} = 6~ cm \\\\\text{Base} = 10~ cm\\\\\text{Area} = \dfrac 12 \times 6 \times 10 = 30~ cm^2\\\\\textbf{Example 2:}\\\\\text{Height} = 5~ cm\\\\\text{Base} = 12~ cm\\\\\text{Area} = \dfrac 12 \times 12 \times 5 = 30~ cm^2\\\\\textbf{Example 3:}\\\\\text{Height} =4~ cm\\\\\text{Base} = ~15 ~cm\\\\\text{Area} = \dfrac 12 \times 15 \times 4 = 30~ cm^2[/tex]
Let's see
Base be B
Height be H
So
1/2BH=30BH=2(30)BH=60The ppossible values are
B=6,H=10H=6,B=10H=3,B=20B=3,H=20B=2,H=30H=2,B=30H=1,B=60B=1,H=60The diameter of a circle is 50 m. Find its area to the nearest whole number.
i need help i also need answers
Answer:
23
Step-by-step explanation:
Given Shane hits 5 HRs out of 100 At-bats,
[tex]\frac{x}{460} = \frac{5}{100} \\\frac{x}{460} (460) = \frac{5}{100} (460)\\x = 23[/tex]
P = 3t² + 7t
Work out the value of P when t = -4
Answer:
P = 20
Step-by-step explanation:
Hello!
We can solve this by substituting -4 for t.
EvaluateP = 3t² + 7tP = 3(-4²) + 7(-4)Remember that any negative number squared is the absolute value of that number squared.
P = 3(|-16|) - 28P = 3(16) - 28P = 48 - 28P = 20The final evaluation is 20.
Find the exact value of each expression.
sin0 , if cos 0 =3/5 and 270° ≤0 ≤360°
[tex]\text{Given that,}\\\\~~~~~~~~\cos \theta = \dfrac 35\\\\\implies \cos^2 \theta = \dfrac 9{25}\\\\\implies 1-\sin^2 \theta = \dfrac{9}{25}\\\\\implies \sin^2 \theta = 1-\dfrac{9}{25}\\\\\implies \sin^2 \theta = \dfrac{16}{25}\\\\\implies \sin \theta = \pm\sqrt{\dfrac{16}{25}}\\\\\implies \sin \theta = \pm\dfrac 45\\\\\text{Given that,}~ 270^{\circ} \leq \theta \leq 360^{\circ}, \text{So}~ \theta ~ \text{lies in fourth quadrant.}\\\\[/tex]
[tex]\text{Which means that}~ \sin \theta ~ \text{will be negative.}\\\\\text{Hence,}~ \sin \theta = -\dfrac 45[/tex]
EASY POINTS EVALUATION
Answer:
[tex] \frac{4}{9} [/tex]
Step-by-step explanation:
[tex]( \frac{16 {}^{ \frac{1}{2} } }{81 { }^{ \frac{1}{2} } }) \\ ( \frac{ {4}^{2 \times \frac{1}{2} } }{9^{2 \times \frac{1}{2} } }) \\ ( \frac{4^{1} }{9 ^{1} } ) \\ \frac{4}{9} [/tex]
[tex]: \: \implies \: \sf{ \bigg( \dfrac{4 {}^{2} }{9 {}^{2} } \bigg) } {}^{ \frac{1}{2} } \\ \\ : \: \implies \: \sf{ \bigg( \dfrac{4 {}^{ \: 2 \times \frac{1}{2} } }{9 {}^{ \: 2 \times \frac{1}{2} } } \bigg) } \\ \\ : \: \implies \: \sf{ \bigg( \dfrac{4 {}^{ \: \cancel2 \times \frac{1}{ \cancel2} } }{9 {}^{ \: \cancel2 \times \frac{1}{ \cancel2} } } \bigg) } \\ \\ : \: \implies \: \sf{ \bigg( \dfrac{4 {}^{ \: 1 }}{9 {}^{ \: 1 } } \bigg) } \\ \\ : \: \implies \: \red{\bf{ \bigg( \dfrac{4 }{9 } \bigg) } }[/tex]
There are 1,570 souvenir paperweights that need to be packed in boxes. Each box will hold 17 paperweights. How many boxes will be needed? boxes will be needed to hold all the souvenir paperweights.
Answer:
93 boxes will be needed.
Step-by-step explanation:
Divide 1570 ÷ 17
This gives the answer 92.35
So 92 boxes won't be enough. 0.35 of a box itsn't helpful in the real world. So you need 93 boxes.
8. Write the equation of the line in slope-intercept form that has the following points: (4, 5) (-1,2)
Answer: y = 3/5x + 13/5
Step-by-step explanation:
To solve this you would have to use slope-point form Y − y1 = m(x − x1)
In this case, you would plugin your x and y values from your 1 point. It would look something like this. y - 2 = m(x + 1). But now the issue is we don't know our slope, To find out a slope you would use 2 - y1/x2 -x1 which would be 3/5 so, in the end, the equation would look like y - 2 = 3/5 (x + 1). Now solve for Y and your answer would be y = 3/5x + 13/5
I hope someone sees this!!! Can someone check my work please??
Hello there!
I will only explain the ones that do not appear correct to me. If you require further explanation, please let me know.
1] vertical
2] corresponding
-> These two angles are in corresponding places on points of the lines, so they are corresponding angles.
3] alternate interior
4] alternate exterior
-> These angles are on the "outside" of the parallel lines, and on "opposite" sides of the transversal. With this in mind, they are alternate exterior angles
5] same side interior
6] same side exterior
-> These angles are on the "outside" of the parallel lines, and on the same side of the transversal. With this in mind, they are same-side exterior angles
For a monthly family cookout, David
buys 3 packages of hot dogs and 4
packages of hamburger patties.
Hot dog packages each contain a hot
dogs. Hamburger packages each
contain y hamburger patties.
Complete the expressions for the total number of hot dogs and hamburger
patties David buys for 6 cookouts.
Use the number pad to enter your answers in the boxes.
6(
x+
Answer:
help me to find Xian pleaseee:( i miss him so much:(
sorry for answering Non sense po i hope u understand me ty po!
A researcher asks the first 10 people he meets at a shopping mall about their opinions on a certain brand of shampoo. This is an example of a ________________.
A. self-selecting sample
B. convenience sample
C. random sample
D. systematic sample
Answer:
i believe the answer is A
Step-by-step explanation:
A picture frame measures 16cm by 30cm on the outside, and 312cm^2 of picture shows.fine the width of the frame around the picture
If the value of x is 4 cm. Then the width of the frame will be 12 cm.
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L × W square units
A picture frame measures 16cm by 30cm on the outside, and 312cm^2 of the picture shows.
Let x be the increase in length and width. Then we have
(16 - x)(30 - x) = 312
x² - 46x + 480 = 312
x² - 46x + 168 = 0
x² - 42x - 4x + 168 = 0
(x - 42)(x - 4) = 0
x = 42, 4
The value of x can be more than 16. Then the value of x will be 4.
Then the width of the frame will be
W = 16 - x
W = 16 - 4
W = 12 cm
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All the real zeros of the given polynomial are integers. Find the zeros.
P(x) = x³ + 4x2 - 19x + 14
X =
Answer:
x = - 7 , x = 2 , x = 1
Step-by-step explanation:
note that
p(1) = 1³ + 4(1)² - 19(1) + 14 = 1 + 4 - 19 + 14 = 0
since p(1) = 0 , then x = 1 is a zero
using synthetic division
1 | 1 4 - 19 14
↓ 1 5 - 14
------------------------
1 5 - 14 0
quotient is x² + 5x - 14
equating quotient to zero
x² + 5x - 14 = 0
(x + 7)(x - 2) = 0
equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
then zeros are x = - 7, x = 2 , x = 1
Answer:
[tex]x = 1\\\\x =2\\\\x = -7[/tex]
Step-by-step explanation:
[tex]~~~~~~~x^3 +4x^2 -19x +14=0\\\\\implies x^3- x^2+5x^2 -5x -14x+14=0\\\\\implies x^2(x-1) +5x (x-1)-14 (x-1)=0\\\\\implies (x-1)(x^2 +5x -14) = 0\\\\\implies (x-1) (x^2 +7x -2x -14) = 0\\\\\implies (x-1) \textbf{[}x(x+7) -2(x+7) \textvf{]}=0\\\\\implies (x-1)(x-2)(x+7)=0\\\\\implies x = 1,~ x =2,~ x = -7[/tex]
There are 97 students in South High School. South High School offers only Chinese and Spanish. There are 5 more students in Chinese than in Spanish, and every student takes at least one language. If 41 students take only Spanish, then how many take both languages?
Answer:
5
Step-by-step explanation:
Spanish: 46
Chinese: 51
Both languages: 46 - 41 = 5
Hope this helps
The function h(x) = 1/4 |x| is a transformation of the absolute value parent
function, f(x) = |x|. Which graph shows h(x)?
The graph which shows the function h(x) according to the task content is; Choice B.
Which graph shows the function h(x)?It follows from the task content that the function h(x) = f(x)/4.
On this note, it follows that the values of h(x) in each case is one-fourth of the value of f(x).
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In the image, two circles are centered at A. The circle containing Bwas dilated to produce the circle containing B: What is the scale factor of
the dilation?
OA 1.
OB. 2
OC. 0.5
OD. -0.5
The scale factor of the dilation is 0.5
How to determine the scale of dilation?From the figure, we have the following lengths:
AB = 2
AB' = 1
The scale factor of dilation is then calculated as:
Scale factor = AB'/AB
This gives
Scale factor = 1/2
Evaluate
Scale factor = 0.5
Hence, the scale factor of the dilation is 0.5
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Bring to Standard form -2k^3-k^3+8k
Answer:
-3k^3+8k
Step-by-step explanation:
-2k^3-k^3+8k
Combine like terms
-3k^3+8k
Answer: Standard Form: [tex]-3k^3+8k[/tex]
Step-by-step explanation:
[tex]-k*(3k^2-8)=-3k^3+8k[/tex]
Step 1:
[tex]((0 - 2k^3) - k^3) + 8k[/tex]
Pull out like factors, Pulling out like terms: [tex]8k - 3k^3 = -k[/tex] • [tex](3k^2 - 8)[/tex]
Factoring: [tex]3k^2 - 8[/tex]
Final result:
[tex]-3k^3+8k[/tex]
x/7 ≥ -6 solve for x please
x/7 >= -6
x×1/7 >= -6
x>= -6 ÷ 1/7
x>= -6× 7/1
x>= -6×7/1
x>= -42
Using the figure below, if the m21= 55°, what is the m2?
Answer: [tex]125^{\circ}[/tex]
Step-by-step explanation:
Angles that form a straight angle are supplementary, so:
[tex]m\angle 1+m\angle 2=180^{\circ}\\ \\ 55^{\circ}+m\angle 2=180^{\circ}\\ \\ m\angle 2=\boxed{125^{\circ}}[/tex]
One number is 2 more than 2 times another their product is 40 find the numbers
Answer:
10 and 4; and -8 and -5.
How do I Solve this equation
Hey there!
Solve for f :
Answer :f = 27.9 ✅
Explanation:> Given expression :
[tex] \displaystyle \frac{f}{9} = 3.1 \\ \\ [/tex]
> Multiply both sides by 9 :
[tex] \displaystyle \frac{f}{9} \times \red{9} = 3.1 \times \red{9} \\ \\ \Longrightarrow \boxed{ \green{f = 27.9}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Therefore, our answer is f = 27.9
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6 Silas lost 11 pounds in a year after joining the basketball team and now
weighs 88 pounds. Find the ratio of his current weight to his weight before
he joined the basketball team. Express the ratio in simplest form.
Answer:
8:9
Step-by-step explanation: Add 88+11 to get his weight before=99 Pounds. Then you put together the ratio. 88:99.
The GCF for those numbers would be 11, so divide them both by 11, to get a final answer of 8:9
Will works at a shoe store. For every 2 pairs of striped shoes he sells, he sells 3 pairs of neon shoes. Will sold 12 pairs of striped shoes. How many pairs of neon shoes did he sell?
A
12
B
8
C
30
D
18
Answer:
d
Step-by-step explanation:
12÷2×3=18
..........
BRANILY FOR CORRECT ANWSER
What is the solution for x2 + 4x < 77? –11 < x < 7 –7 < x < 11 x < –7 or x > 11 x < –11 or x > 7
Answer:
-11 < x < 7
Step-by-step explanation:
Inequalities:x² + 4x < 77
Subtract 77 from both sides
x² + 4x - 77 < 0
To find the zero points (Roots),
Make x² + 4x - 77 = 0
Now find the factors
x² + 11x - 7x - 77 = 0
x(x + 11) - 7(x + 11) = 0
(x +11) (x - 7) = 0
x + 11 = 0 or (x -7) = 0
x = -11 or x = 7
So, the solutions of the inequality is between (-11) and 7
-11 < x < 7
Answer:
x < –11 or x > 7 is the correct answer!!
Step-by-step explanation:
The answer above this was just slightly wrong. I took the exam and put my answer as option b and got it correct. Here is how I solved it correctly!
To solve the inequality x^2 + 4x > 77, we can factor the quadratic expression as (x - 7)(x + 11) > 0
To determine the solution, we consider the signs of each factor:
(x - 7) > 0 and (x + 11) > 0
This means x is greater than 7 or x is less than -11.
So, the simplified solution to the inequality x^2 + 4x > 77 is:
x < -11 or x > 7
The equation x2 - 10x + 17 = - y2 - 2y describes a circle in the coordinate plane. Find the radius of the circle and the coordinates of its center.
Answer:
the center is (5,-1) and the radius is 3
Step-by-step explanation:
Simplify this algebraic expression completely.
7x-5(x+6)
A. 2x-1
B. 2x+1
C. 2x+11
D. 2x-30
Answer:
D. 2x-30
Step-by-step explanation:
7x-5(x+6)
7x-5x-30
2x-30
A 20-foot guy (support) wire is being used to support a flag pole. The distance from the flagpole to where the guy wire is bolted to the
ground is 9 feet. What is the measure of the angle formed by the guy wire and the ground where the wire is bolted? Round your
answer to two decimal places.
Answer:
ok so i think its a becuase thats wgat i got
Step-by-step explanation:
Please Urgent help,,,,
Answer:
This is the i-ready test, you have to try your best because if someone were to give you the answer, that will be cheating. The test provides teachers with a complete picture of student performance relating to their grade level and national norms. So, just try your best so you can get the lessons that are right for you.
(Im just saying but you don't have to listen to me ^^)