Answer:
3x-2
Step-by-step explanation:
-2x-2+5x=-2x+5x-2=3x-2
YOUR TURN
9. Out of the 25 students in Mrs. Green's class, 19 have a per. Wh
of the students in Mrs. Green's class have a pet?
Answer:
[tex]\frac{19}{25}[/tex] or [tex]76%[/tex]
Step-by-step explanation:
As a fraction: [tex]\frac{19}{25} \\[/tex] it can't be simplified further
As a percentage: [tex]\frac{19}{25} =0.76[/tex]
Which expressions are equivalent to 35+30s-45t35+30s−45t35, plus, 30, s, minus, 45, t?
Answer:
The correct option is B. [tex]5(7+6s-9t)[/tex] and C. [tex](-35-30s+45t)\times (-1)[/tex].
Step-by-step explanation:
Consider the provided expression.
[tex]35 + 30s - 45t[/tex]
Option (A): [tex]7\cdot(5+30s-45t)[/tex]
Open parenthesis.
[tex]35+210s-315t[/tex]
Which is not equal to the provided expression.
Option (B) [tex]5(7+6s-9t)[/tex]
Open parenthesis.
35+30s-45t
Which is equal to the provided expression.
Option (C) [tex](-35-30s+45t)\times (-1)[/tex]
Open parenthesis.
[tex]35+30s-45t[/tex]
Which is equal to the provided expression.
Option (D) [tex]10\times(3.5+3s-4.5)[/tex]
[tex]35+30s-45[/tex]
Which is not equal to the provided expression.
Option (E) [tex](\frac{35}{2}- 15s + \frac{45t}{2}) \cdot(-2)[/tex]
Open parenthesis.
[tex]-35+30s-45t[/tex]
Which is not equal to the provided expression.
Hence, the correct option is B. [tex]5(7+6s-9t)[/tex] and C. [tex](-35-30s+45t)\times (-1)[/tex].
Complete the inequality.
6 gal ___ 24 qt
Answer:
equal to.
Step-by-step explanation:
1 gallon would equal 4 quarts, So if 6 gallons were presnt multiply 6 and 4 and you get 24 quarts
The quantity in the inequality is the same for both sides, so you would use the equals sign. According to unit conversion, 6 gallons is equal to 24 quarts.
Explanation:The inequality you are trying to solve involves comparing the two quantities in gallons and quarts. One gallon is equivalent to 4 quarts. Therefore, we can multiply 6 gallons by 4 to convert it to quarts:
6 gal * 4 qt/gal = 24 qt
Therefore, the inequality would be: 6 gal = 24 qt
Learn more about Unit Conversion here:https://brainly.com/question/32030244
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A line includes the points (10,1) and (a,-5) has a slope of 1/3. What is the value of a?
For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
Where:
[tex](x_ {1}, y_ {1})\ and\ (x_ {2}, y_ {2})[/tex]are two points through which the line passes.
According to the statement we have:
[tex](x_ {1}, y_ {1}) :( 10,1)\\(x_ {2}, y_ {2}) :( a, -5)\\m = \frac {1} {3}[/tex]
Substituting we have:
[tex]\frac {1} {3} = \frac {-5-1} {a-10}\\\frac {1} {3} = \frac {-6} {a-10}\\a-10 = \frac {-6} {\frac {1} {3}}\\a-10 = -18\\a = -18 + 10\\a = -8[/tex]
Thus, the value of a is -8.
Answer:
[tex]a = -8[/tex]
Simplify to create an equivalent expression.
8(10 - 69q) +3(-7q - 2)
Choose 1 answer:
-69q + 78
-55q + 74
-69q + 74
69q + 74
Answer:
-573q+74
Step-by-step explanation:
8(10-69q)+3(-7q-2)
80--552q-21q-6
80-573q-6
-573q+74
Answer:
the other guys i wrong completely the actual answer is −69q+74 i just did it and i am tring to help more people
Step-by-step explanation:
A rhombus has side lengths of 25. What could be the lengths of the diagonals?
Answer:
25√2
For the opposite side, the hypotenuse, a rhombus is always divided by a angle bisector. Therefore you use the 45-45-90 theorem
The coins in Diego’s pocket are worth 150% of a dollar. How much are they worth (in dollars)?
Answer:
In Diego’s pocket are worth $1.5.
Step-by-step explanation:
Given:
The coins in Diego’s pocket are worth 150% of a dollar.
Now, to find the worth in dollars in Diego's pocket.
So, as given the coins in Diego’s pocket are worth 150% of a dollar.
That means 150% of $1. As a dollar expresses 1$.
Thus, 150% of 1$.
[tex]=\frac{150}{100} \times 1[/tex]
[tex]=1.5\times 1[/tex]
[tex]=\$1.5.[/tex]
Therefore, in Diego’s pocket are worth $1.5.
Diego's coins are worth 150% of a dollar, which means they are worth $1.50. This was calculated by converting 150% to a decimal (1.50) and multiplying it by 1 dollar.
The question involves calculating the value of coins in terms of dollar amounts, which falls under the subject of Mathematics, specifically dealing with percentages and conversion of values.
Diego has coins in his pocket worth 150% of a dollar. To find out how much this is in dollars, we need to convert the percentage to a decimal by dividing by 100, which gives us 1.50. Therefore, the coins in Diego's pocket are worth $1.50. This is because 150% of 1 dollar is 1.5 times 1, which equals 1.5 or $1.50.
Remember, in math, percentages over 100% mean that you have more than the whole. So, 150% represents 1 whole (100%) plus half of another whole (50%), which in terms of dollars, translates to $1.50.
Fill in the using table this function rule y=-10x+2
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John earns $10.26 an hour. How much will he earn if he works for 6.6 hours?
Answer:
he will earn 67.71 dollars, or more precisely 67.716 dollars in 6.6 hours
Step-by-step explanation:
Answer:
$67.72 or 67.71 (depends if you are taking the first 2 decimal points or if you are rounding
Step-by-step explanation:
10.26*6.6
This is done because we have how much he earns per hour and the number of hour he works so we have to multiple them together
The end result would be: 67.716 dollars. The answer varies like I said above
What is the equation in standard form of the line that passes through the point (1, 24) and has a slope of -0.6.
Answer:
y= -0.6x + 123/5
Step-by-step explanation:
Start with the slope.
Given the slope is -0.6, the equation must be in the form of y=-0.6x+b, where b is the y-intercept.
Now, substitute your values of a and b inside the equation. 24=-0.6+b. given this, b=24.6, which is 123/5.
A $40.00 skateboard is discounted 30%. If sales tax is 5%, what is the amount of tax paid?
Answer:
$1.40
Step-by-step explanation:
Data provided in the question
Skateboard price = $40
Discounted percentage = 30%
Sales tax rate = 5%
By considering the above information, the amount of tax paid is
For computing the amount of tax paid, first we have to determine the price after considering the given discount percentage which is shown below:
= Skateboard price - Skateboard price × discounted percentage
= $40 - $40 × 30%
= $40 - $12
= $28
Now the amount of tax paid is
= $28 × 5%
= $1.40
Solve the triangle. B = 73°, b = 15, c = 10
Incomplete Question, the complete question is
Solve the triangle.
B = 73°, b = 15, c = 10
A. C = 39.6°, A = 67.4°, a ≈ 14.5
B. Cannot be solved
C. C = 44.8°, A = 62.4°, a ≈ 14.5
D. C = 39.6°, A = 67.4°, a ≈ 20.3
Answer:
The Answer is the option A
A. C = 39.6°, A = 67.4°, a ≈ 14.5
Step-by-step explanation:
Given:
In Δ ABC,
∠B = 73°
b = 15
c = 10
To Find:
∠A = ?
∠B = ?
a = ?
Solution:
IN Δ ABC, Sine Rule says that
[tex]\dfrac{a}{\sin A}= \dfrac{b}{\sin B}= \dfrac{c}{\sin C}[/tex]
Substituting the given values we get
[tex]\dfrac{15}{\sin 73}= \dfrac{10}{\sin C}\\\\\sin C=0.6375\\\therefore C=39.6\°[/tex]
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.
[tex]\angle A+\angle B+\angle C=180\\\\73+39.6+\angle A=180\\\therefore m\angle A =180-112.6=67.4\°[/tex]
∴ [tex]\dfrac{a}{\sin A}= \dfrac{b}{\sin B}[/tex]
Substituting the given values we get
∴ [tex]\dfrac{a}{\sin 67.4}= \dfrac{15}{\sin 73}\\\\\therefore a=14.48\approx14.5[/tex]
Therefore,
A. ∠C = 39.6°, ∠A = 67.4°, a ≈ 14.5
find the scale factor.
The scale factor is 1.5. The dilation rule is : (x,y)-------(.15x,1.5y)
Step-by-step explanation:
Dilation is a transformation that maps an object to an image of the same shape as the original object to form a different size image.When a larger image is produced it's called an enlargement where as when a small image is produced, it's called a reduction.
The rule of dilation, with center as the origin follows;
(x,y)------(sx,sy) where s is the scale factor. To find the scale factor, select one of the vertices of the object and of the image at divide the coordinate of image with that of object.
Taking O(2,16) and O'(3,24), the scale factor will be;
s*2=3
2s=3
s=3/2 =1.5
or
s*16=24
16s=24
s=24/16=3/2=1.5
The scale factor is 1.5, hence the dilation rule is;
(x,y)-------(.15x,1.5y)
Learn More
Dilation:https://brainly.com/question/10945890
Keywords: dilation, vertices, origin, scale factor, translation
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The function g is defined by g(x)=cx-3, where c is a constant. Find c if the value of g(x) at x=0.5 is equal to -1
Answer:
c = 4
Step-by-step explanation:
In g(x)=cx-3 when x is set to 0.5 , g(x)= -1.
We can solve for "c" when it is the only variable in the equation.
Substitute x for 0.5 and g(x) for -1. Isolate "c" to solve by doing reverse operations.
g(x) = cx - 3
g(0.5) = 0.5c - 3 Substitute x=0.5
-1 = 0.5c - 3 Substitute g(0.5) = -1
-1 + 3 = 0.5c - 3 + 3 Add 3 to both sides to start isolating c
2 = 0.5c
2/0.5 = 0.5c/0.5 Divide both sides by 0.5 to isolate c
4 = c Value of c
c = 4 Standard formatting puts the variable on the left side
Therefore the value of c if g(0.5)=-1 is 4.
Answer:
c = 4.
Step-by-step explanation:
Substitute the given values x = 0.5 and g(x) = -1:
-1 = c(0.5) - 3
0.5c = -1 + 3 = 2
c = 2/0.5
c = 4.
twice a number x,minus 19
Answer:
2x - 19
Step-by-step explanation:
"Twice a number x" means the (missing) number is called x. Write "2x" which means multiply "x" by 2.
"Minus 19" is -19.
Together, the expression is 2x - 19.
Write an equation for the line that is parallel to y =
-2x and passes through the point (0, -7).
Answer:
y=-2x-7
Step-by-step explanation:
y=-2x
y-y1=m(x-x1)
y-(-7)=-2(x-0)
y+7=-2(x)
y+7=-2x
y=-2x-7
Ron walked 3 3/4 km on monday,4 1/3 km on Wednesday. What distance did he walk in all
Answer:
Ron walked a total of 8 1/12 km
Step-by-step explanation:
Answer:
[tex]8\frac{1}{12} \; km[/tex]
Step-by-step explanation:
Distance walked by Ron on Monday = [tex]3\frac{3}{4} \; km[/tex]
Distance walked by Ron on Wednesday = [tex]4\frac{1}{3} \; km[/tex]
Now we will convert the given mixed fractions into improper fractions.
As we know that, a mixed fraction is composed of a whole number and a proper fraction.
Now,.
[tex]3\frac{3}{4} =\frac{3\times4+3}{4}=\frac{15}{4}[/tex]
[tex]4\frac{1}{3} =\frac{4\times3+1}{3} =\frac{13}{3}[/tex]
So, distance walked by Ron on Monday = [tex]\frac{15}{4}\; km[/tex]
Distance walked by Ron on Wednesday = [tex]\frac{13}{3} \; km[/tex]
Now, to find the total distance walked by Ron, we will add the distances walked by him on Monday and Wednesday.
So,
[tex]3\frac{3}{4} +4\frac{1}{3} =\frac{15}{4}+ \frac{13}{3}[/tex]
Now, we will find the LCM of the denominators of the given fractions.
The prime factorisation of 4 and 3 is,
4 = 2 × 2
3 = 3
So, LCM (3, 4) = 2 × 2 × 3 = 12
Now, we will convert each of the given fractions into their equivalent fractions with denominator 12.
[tex]\frac{15}{4}=\frac{15\times3}{4\times3}=\frac{45}{12}[/tex]
[tex]\frac{13}{3}=\frac{13\times4}{3\times4}=\frac{52}{12}[/tex]
So,
[tex]\frac{15}{4}+\frac{13}{3}=\frac{45}{12} +\frac{52}{12}=\frac{45+52}{12}=\frac{97}{12}[/tex]
Now, we will convert [tex]\frac{97}{12}[/tex] into improper fraction.
Now, 97 = 96 + 1 = 12 × 8 + 1
So, when '97' is divided by '12', then we get '8' as the quotient and '1' as the remainder.
So,
[tex]\frac{97}{12} = 8\frac{1}{12}[/tex]
Hence, Ron walked a total distance of [tex]8\frac{1}{12}[/tex] km in both the days.
A pipe that is 12 - feet long is cut into pieces that are 2 feet long. Which step below would give the
number of pieces into which the pipe is cut?
Answer:
Step-by-step explanation:
Number of pieces= total length/ length of one piece
= 12/2 = 6 pieces
Two boxes are placed in front of you. Box A contains 4 white and 2 black
marbles, and Box B contains 3 white and 7 black marbles. You select one of
the two boxes at random and then select one marble from that box at
random. What is the probability that the marble you select is black?
Answer:
The probability that the marble you select is black is 0.5167
Step-by-step explanation:
Let,
[tex]E_1[/tex] the probability of selecting one marble from box A
[tex]E_2[/tex] the probability of selecting one marble from box B
[tex]BB_1[/tex] be the probability of selecting black marble from box A
[tex]BB_2[/tex] be the probability of selecting black marble from box B
Now
[tex]P(E_1) = \frac{1}{2}[/tex]
[tex]P(E_2) = \frac{1}{2}[/tex]
[tex]P(BB_1) = \frac{2}{6}[/tex]
[tex]P(BB_2) = \frac{7}{10}[/tex]
P(Selecting a Black Marble ) = [tex](P(E_1) \times P(BB_1))+(P(E_2) \times P(BB_2)) [/tex]
=>[tex](\frac{1}{2} \times \frac{2}{6})+(\frac{1}{2} \times \frac{7}{10}) [/tex]
=>[tex](\frac{2}{12})+(\frac{7}{20}) [/tex]
=>[tex](\frac{1}{6})+(\frac{7}{20}) [/tex]
=>[tex]\frac{20 + 42}{120} [/tex]
=>[tex]\frac{62}{120} [/tex]
=>[tex]\frac{31}{60} [/tex]
=>0.5167
Trent lifts weights 7 days a week. He spends 18 minutes lifting weights on Monday, 29 minutes on Tuesday, 40 minutes on Wednesday, and 51 minutes on Thursday. If this pattern continues, how many minutes will Trent lift weights on Saturday?
Answer:
73 minutes
Step-by-step explanation:
Find a pattern in the sequence.
The sequence is 18, 29, 40, 51.
29 - 18 = 11
40 - 29 = 11
51 - 40 = 11
The pattern is add 11 each day.
If 51 is Thursday, 51 + 11 is Friday.
51 + 11 + 11 is Saturday.
51 + 11 + 11 = 73
Therefore Trent will lift weights for 73 minutes.
A bedroom has the shape shown. The homeowner is upgrading by putting in new crown molding. How many feet of crown molding does she need?
Answer: D.
Step-by-step explanation: Add all of the sides' lengths together. The rest of the wall beneath where "5 ft." is measures as 6 ft. Add that to the 5 ft of the rest of the wall and you'll have 11 for the whole right wall. Add 11 to 8, 10 and 12, and you'll have 41 which is close to the last choice so you're safest bet is D.
The homeowner needs 48 feet of crown molding.
Explanation:To determine how many feet of crown molding she needs, the homeowner needs to find the perimeter of the room. The room has four sides, each measuring 12 feet, so the perimeter is 4 * 12 = 48 feet. Therefore, the homeowner needs 48 feet of crown molding.
Given f(x) = 364-27, what is the value of f(16)
Answer:
f(16)=337
Step-by-step explanation:
an amount of $41,000 is borrowed for 7 years at 6.75% interest, compounded annually. If the loan is paid in full at the end of that year, how much must be paid back?
Answer:
We must pay back US$ 64,767.70 for the loan after 7 years.
Step-by-step explanation:
1. Let's review the data given to us for answering the question:
Loan amount = US$ 41,000
Duration of the loan = 7 years
Interest rate = 6.75% compounded annually
2. Let's find the future value of this loan after 7 years, using the following formula:
FV = PV * (1 + r) ⁿ
PV = Loan = US$ 41,000
number of periods (n) = 7 (7 years compounded annually)
rate (r) = 6.75% = 0.0675
Replacing with the real values, we have:
FV = 41,000 * (1 + 0.0675) ⁷
FV = 41,000 * (1.0675) ⁷
FV = 41,000 * 1.5797
FV = US$ 64,767.70
We must pay back US$ 64,767.70 for the loan after 7 years.
What is the value of Negative 3 m n + 4 m minus 3 when m = 2 and n = negative 4?
Answer:
Answer is D
Step-by-step explanation:
engenuity 2022
Answer:
29
Step-by-step explanation:
When 18 is subtracted from the square of a number, the result is 3 times the number. Find the negative solution.
Answer: x = -3
Step-by-step explanation:
Let the number be x , that is the square of x is [tex]x^{2}[/tex].
From the first statement :
[tex]x^{2}[/tex] - 18 = 3x
writing the equation in a standard quadratic format , we have
[tex]x^{2}[/tex] - 3x - 18 = 0
Factorizing , we have
(x - 6 )(x + 3 ) = 0
x - 6 = 0 or x + 3 = 0
Therefore :
x = 6 or x = -3
Therefore , the negative solution implies x = -3
Answer:-3
Step-by-step explanation:
What two shapes are quadrilaterals with 2 pairs of parallel sides and no right angles?
Answer:
The answer is totally Rhombus
Answer: A rhombus and a kite
Step-by-step explanation: A rhombus has 4 parallel sides, and have 2 acute angles and two obtuse angles and no right angles. Also a kite is the same way too!
The sum of two consecutive integers is 131
Answer:
65 and 66
Step-by-step explanation:
x + (x+1) = 131
2x + 1 = 131
2x = 131 - 1 = 130
x = 65
x + 1 = 66
Calculate the median of: 4.6, 3, 8.1, 9, 12,3, 9, 3.5, 7.3.
A. 5.8
B. 9
C. 3
D. 6.22
Answer: 7.3
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
Least to greatest ⇒ 3, 3, 3.5, 4.6, 7.3, 8.1, 9, 9, 12
So the median will be the middle number or 7.3.
Answer:
5.8
Step-by-step explanation:
First put all the numbers in order from least to greatest.
3, 3, 3, 3.5, 4.6, 7, 8.1, 9, 9, 12
There are two middle numbers, 4.6 and 7. Average them to get 5.8.
A baseball player recorded 60 hits in 186 at-bats.What is the ratio of hits to at-bats?
Answer:
10:31
Step-by-step explanation:
Given: A baseball player recorded [tex]60[/tex] hits in [tex]186[/tex] at-bats.
To Find: ratio of hits to at-bats.
Solution:
Total number of hits recorded by baseball player [tex]=60[/tex]
Total number of at-bats [tex]=186[/tex]
Now,
ratio of hits to at-bats [tex]=\frac{\text{total number of hits recorded}}{\text{total number of at-bats}}[/tex]
putting values,
ratio of hits to at-bats [tex]=\frac{60}{186}[/tex]
[tex]=\frac{10}{31}[/tex]
[tex]=10:31[/tex]
Hence the ratio of hits to at-bats is [tex]10:31[/tex]
1. In quadrilateral QUAD shown below, point R is the midpoint of diagonal QA. What are
the coordinates of point Q?
R(-2, 10)
A (12,6)
A. (-16,14)
B. (-12, 16)
C. (-14,4)
D. (-7,2)
Answer:
Option A. (-16,14)
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to
[tex]M(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
In this problem we have that
[tex]point\ Q(x1,y1)\\point\ A(x2,y2)[/tex]
[tex](-2,10)=(\frac{x1+12}{2},\frac{y1+6}{2})[/tex]
so
[tex]\frac{x1+12}{2}=-2[/tex] ---> [tex]x1=-4-12=-16[/tex]
[tex]\frac{y1+6}{2}=10[/tex] ---> [tex]y1=20-6=14[/tex]
therefore
The coordinates of point Q are (-16,14)