Answer:
x=6
Step-by-step explanation:
A midpoint is the middle point of a line segment, therefore it is equal distances from both ends of the segment.
This means that PQ and QR have the same length. So all we have to do is set each value equal to each other, and then solve for X.
[tex]3x+14=7x-10\\3x+24=7x\\24-4x\\x=6[/tex]
Answer:
x=-0.4
Step-by-step explanation:
ok you have to visualize this line
P Q R
O---------------------O-----------------------O
3x+14 7x-10
so to make the equation of PR you would add PQ and QR together.
3x+14+7x-10
add your like terms
10x+4
solve for x
10x+4=0
subtract 4 from each side
10x=-4
divide both sides by 10
x=-2/5 fraction
x=-0.4 decimal
Add. Express your answer as a fraction. Do not include spaces in your answer.
5 1/4 + 15.5
Answer:
20 3/4
Step-by-step explanation:
First, add together the whole numbers:
5 + 15
= 20
Then, add the fractions and decimals together:
Convert 1/4 to a decimal, which is 0.25
Add the decimals together:
0.25 + 0.5
= 0.75
Convert this to a fraction:
0.75 = 3/4
Then, add together 20 and 3/4
20 + 3/4
= 20 3/4
Answer:
83/4
Step-by-step explanation:
This is the right answer.
I need help help me please
What is 24 times 1 billion divided over by 2346
Answer: 10,230,179.02813299
Step-by-step explanation:
That would be your answer
Answer:
uh
Step-by-step explanation:
Help with question on Complementary and Supplementary Angles
Step-by-step explanation:
Right angle = 90°
(x + 3) + (x - 1) + (x + 1) = 90
3x + 3 = 90, x = 29.
Supplementary angles = Angles that add up to 180°.
x + (x + 104) = 180
2x = 76, x = 38.
The value of x in fig.1 is 29 .
The value of x in fig.2 is 38 .
Given,
Figures having different angles .
1)
Right angle = 90°
(x + 3) + (x - 1) + (x + 1) = 90
3x + 3 = 90
x = 29.
2)
Supplementary angles = Angles that add up to 180°.
x + (x + 104) = 180
2x = 76
x = 38.
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The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.
Answer:
B.The expression 75ℎ represents the total charge for Elegance Home Architects.
D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Step-by-step explanation:
Which of the following statements are true? Select all that apply.
A.The expression 50ℎ represents the total charge for Rock the House Digital Designs.
B.The expression 75ℎ represents the total charge for Elegance Home Architects.
C.The cost for using Rock the House Digital Designs for an initial consultation only is $550.
D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Answer:
Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. If they are hired for h hours, the total charge for Rock the House Digital Designs would be:
Total charge for Rock the House Digital Designs = 500 + 50h
Elegant Home Architects charge $75.00 per hour for the house plans, if they work for h hours, the total charge would be:
Total charge for Elegance Home Architects = 75h
A) Option A is not correct since the total charge for Rock the House Digital Designs is 500 + 50h
B) Option B is correct because the total charge for Elegance Home Architects = 75h
C) Option C is not correct, For an initial consultation, the cost for using Rock the House Digital Designs is $500
D) For a period of 15 hours:
Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(15) = $1250
Total charge for Elegance Home Architects = 75h = 75(15) = $1125
Option D is correct because Elegance home architect would be cheaper
E) For a period of 40 hours:
Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(40) = $2500
Total charge for Elegance Home Architects = 75h = 75(40) = $3000
Option D is correct because Rock the House Digital Designs would be cheaper
Please help! alg 1! I really need a explaintion fastttt
Answer:
y = -5x +10(0, 10)(1, 5)see attachedStep-by-step explanation:
1. Subtract 5x from both sides to put the equation in slope-intercept form:
y = -5x +10
__
2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...
(x, y) = (0, 10)
You may notice this is one of the points listed in part 4, and is also used in question 3.
__
3. The x-value computed is 1; the y-value computed is 5. The point is ...
(x, y) = (1, 5)
You may notice this is one of the points listed in part 4.
__
4. See attached
Answer:
1. y = -5x +10
2. (0, 10)
3. (1, 5)
4. see attached
Step-by-step explanation:
1. Subtract 5x from both sides to put the equation in slope-intercept form:
y = -5x +10
__
2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...
(x, y) = (0, 10)
You may notice this is one of the points listed in part 4, and is also used in question 3.
__
3. The x-value computed is 1; the y-value computed is 5. The point is ...
(x, y) = (1, 5)
You may notice this is one of the points listed in part 4.
__
4. See attached
I NEED HELP PLEASE !!!!
Answer:
1st choice 9 to the power of 4 times 8 to the power of 4 times
Step-by-step explanation:
(9 times 8) to the power of 4 means
9*8*9*8*9*8*9*8 which is also equal to 9*9*9*9*8*8*8*8
and that is 9 to the power of 4 times 8 to the power of 4 times
Answer:
A
Step-by-step explanation:
Because (9*8)^4 equals 26873856
and 9^4*8^4 equals 26873856
The product of 6 and x is less than or equal to -37
Answer:
Step-by-step explanation:
6x≤-37
x≤-37/6
x≤ -6 1/6
Steve needs to ship a box of dice, each of which is a cube with a volume of 1 cubic centimeter. How many dice can Steve fit in this box? A. 39 B. 270 C. 972 D. 1,944
Answer:
D. 1,944
Step-by-step explanation:
the box's size is missing, so I looked for a similar question:
the box measures:
base (12 cm) width (9 cm) height (18 cm)total volume of the box = 12 x 9 x 18 = 1,944 cm³
since each dice occupies a volume of 1 cm³, then you can fit 1,944 dices in each box.
what is 3x-15+6x+2=45
Answer:
x=58/9 fraction x=6 4/9
Step-by-step explanation:
Answer:
x = 6.44 (rounded)
Step-by-step explanation:
First, combine like terms:
3x + 6x + 2 - 15 = 45
(3x + 6x) + (2 - 15) = 45
(9x) + (-13) = 45
9x - 13 = 45
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and is:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 13 to both sides:
9x - 13 (+13) = 45 (+13)
9x = 45 + 13
9x = 58
Next, divide 9 from both sides:
(9x)/9 = (58)/9
x = 58/9
x = 6.44
The life expectancy in the US is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. What is the probability that the same mean will be larger than 77 years?
Answer:
0.02275
Step-by-step explanation:
We use this z score formula to solve for this question
z-score is is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
From the above question,
x = 77
μ = 75
σ = 7
number of samples = 49
Hence, the z score = 77 - 75/ (7/√49)
= 2/(7/7)
= 2/1
= 2
Hence, the z score = 2
Using the z table to find probability
P(x<77) = 0.97725
P(x>77) = 1 - P(x<77)
= 1 - 0.97725
= 0.02275
Therefore, the probability that the same mean will be larger than 77 years
is 0.02275
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 2 and flipping heads? Write
your answer as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
Use the following image to answer the questions below.
Answer: Choice A
Ray PL and ray PQ
=======================================================
Explanation:
Opposite rays always have the same endpoint in common. So opposite rays start with the same letter.
Opposite rays also lay on the same geometric line. This means they point in complete opposite directions. Gluing together two opposite rays forms a line that extends forever in both directions.
Ray PQ points in one direction while ray PL points in the opposite direction. These are opposite rays.
Saying "ray PQ" is different from saying "ray QP". The order matters. This is because the first letter tells you the endpoint while the second letter is where the ray is aimed at (and where it goes off forever).
Solve: -3x + 12 = -18
Answer:
x=2
Step-by-step explanation:
-3x+12=-18
-3x=-18+12
-3x=-6
x=-6/-3
x=2
Answer:
x=10
Step-by-step explanation:
We are given the equation:
[tex]-3x+12= -18[/tex]
and asked to solve for x. Therefore, we must isolate x on one side of the equation.
12 is being added to -3x. The inverse of addition is subtraction. Subtract 12 from both sides of the equation.
[tex]-3x+12-12= -18 -12[/tex]
[tex]-3x= -18-12[/tex]
[tex]-3x=-30[/tex]
x is being multiplied by -3. The inverse of multiplication is division. Divide both sides of the equation by -3.
[tex]-3x/3=-30/-3[/tex]
[tex]x= -30/-3[/tex]
[tex]x=10[/tex]
Let's check our solution. Plug 10 in for x and solve.
[tex]-3x+12=-18[/tex]
[tex]-3(10)+12=-18[/tex]
Multiply -3 and 10.
[tex]-30+12=-18[/tex]
Add 12 to -30.
[tex]-18=-18[/tex]
This checks out, so we know our solution is correct.
The solution -3x+12=-18 is x=10.
how can you find the value of the expression -5 + 12 + 10 - 7
Answer:
10
Step-by-step explanation:
Which expression is equivalent to 5x + 2 - x + 10?
Answer:
4x +12
Step-by-step explanation:
[tex]5x + 2 - x + 10\\\\\mathrm{Group\:like\:terms}\\=5x-x+2+10\\\\\mathrm{Add\:similar\:elements:}\:5x-x=4x\\=4x+2+10\\\\\mathrm{Add\:the\:numbers:}\:2+10=12\\=4x+12[/tex]
Find the difference between 7/10 and 14/15
Answer:
the difference between the two fractions is 1/10
Step-by-step explanation:
when solving this problem you must switch the denominators to the same number. in this case thats 30. so 10*3 is 30 and 15*2 is 30. so then we multiply 7*3 to get 21 and 14*2 to get 24. so now we have 21/30 and 24/30, so then we compare. and we end up with 3/30, we simplify the answer to 1/10.
To what percent should the taxes for each service be
rounded in order to make reasonable estimates?
Restaurant Server:
v%
Florist:
v%
Cab Fare:
%
v%
Dog Groomer:
Answer:
Restaurant Server: 10%
Florist: 10%
Cab Care: 0%
Dog Groomer: 5%
Step-by-step explanation
I took the test and got the question right!!!Also, in the question it says round to make a more resonable number for example in the chart for the resturant it says the cost is $40 dollars and the gratuity is 18% and the tax is 8.5% with this you round 18% to 20% and the tax 8.5% to 9% and round that to 10% and when you round the tax to 10% that is your anwser. Then with all the other numbers on the chart do the same thing and there is all of your anwsers.
Hope I Helped ;)Restaurant Server: 8%
Florist: 12%
Cab Fare: 0%
Dog Groomer: 6%
Restaurant Server:
The cost is $40 and the gratuity is 18%.
To calculate the tax, you multiply the cost by the tax rate, which is 8.5% (or 0.085).
The tax amount would be $40 × 0.085 = $3.40. Rounding this to the nearest whole number would be $3.
Therefore, the tax estimate for the restaurant service would be 8%.
Florist:
The cost is $94 and the gratuity is 12%.
The tax rate for the florist service is 12% (or 0.12).
Calculating the tax amount would be $94 × 0.12 = $11.28. Rounding this to the nearest whole number would be $11.
Hence, the tax estimate for the florist service would be 12%.
Cab Fare:
The cost is $32, and the gratuity is 20%.
The tax for cab fares is mentioned as 0%, which means there is no tax applicable. In this case, rounding is not necessary as the tax amount is already 0%.
Dog Groomer:
The cost is $62, and the gratuity is 26%. The tax rate for the dog groomer service is 5.75% (or 0.0575).
Calculating the tax amount would be $62 × 0.0575 = $3.57.
Rounding this to the nearest whole number would be $4.
Thus, the tax estimate for the dog groomer service would be 6%.
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To what percent should the taxes for each service be
rounded in order to make reasonable estimates?
Service cost Gratuity Tax
Restaurant $40 18% 8.5%
Florist $94 12% 12%
Cab fare $32 20% 0%
Dog groomer $62 26% 5.75%
Restaurant Server:
Florist:
Cab Fare:
Dog Groomer:
If angle vuw = 4x+6 and wut = 6x+10 what is the measure of wut
Answer:
C, 38°
Step-by-step explanation:
ray UW is the angle bisector of ∠VUT
--> m∠VUW = m∠WUT = 1/2 m∠VUT
<=> 4x + 6 = 6x - 10
<=> 6 + 10 = 6x - 4x
<=> 2x = 16
<=> x = 8
So, the measure of m∠WUT is: 6x - 10 = 6 . 8 - 10 = 48 - 10 = 38°
Solve for x.
6(x - 1) = 9(x + 2)
x=-8
O x=-3
O x = 3
O x = 8
Three times the sum of a number and 12.
Answer:
3(x + 12)
Step-by-step explanation:
"the sum of a number and 12"
x + 12
"Three times the sum of a number and 12"
3(x + 12)
Solve for x. Image is below.
Answer:
(2x +5) + 3x = 90
5x + 5 = 90
5x = 85
x = 17
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30 = −5(6n + 6) multi step equation show all steps pls
The solution to the equation is n = -2.
To solve the equation 30 = -5(6n + 6) step-by-step, follow these procedures:
Step 1: Distribute the -5 on the right side:
30 = -5 * 6n - 5 * 6
Step 2: Simplify the right side:
30 = -30n - 30
Step 3: Move constant term to one side:
30 + 30 = -30n
Step 4: Combine like terms:
60 = -30n
Step 5: Divide both sides by -30 to isolate 'n':
n = 60 / -30
Step 6: Simplify the right side:
n = -2
The solution to the equation is n = -2.
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How many terms are there in the following expression: 3a + 3ab + 7b – 4d?
A term is a single constant or variables that have non-zero coefficients.
Since there are 4 terms with non-zero coefficients in the following expression, there are 4 terms.
Hope this helps.
頑張って!
I need the Answer to the question plz
Answer:
9
Step-by-step explanation:
[tex]15-\frac{10}{5} -2^{2}[/tex]
[tex]15-\frac{10}{5}-4\\15 -2-4\\13-4\\=9[/tex]
What interval includes all possible values of x, where -3(6 - 2x) >4x + 12
O (-00, -3]
OF-3,00)
0 (0o, 15]
O [15,00)
Step-by-step explanation:
-3(6 - 2x) > 4x + 12
-18 + 6x > 4x + 12
2x > 30
x > 15
The solution set is (15, ∞).
The interval that includes all possible values of x that satisfy the inequality is (15, infinity), which can be written as [15, oo) in interval notation.
The answer is (d) [15,00)
What are intervals?The intervals are numbers or values between two given point
The intervals are denoted as:
Closed intervals = [a, b]
This interval includes a and b.
Open intervals = (a, b)
This interval does not include a and b.
We have,
We can solve the inequality as follows:
-3(6 - 2x) > 4x + 12
Distribute the -3 on the left side:
-18 + 6x > 4x + 12
Subtract 4x from both sides:
2x > 30
Divide both sides by 2:
x > 15
Therefore,
The interval that includes all possible values of x that satisfy the inequality is (15, infinity), which can be written as [15, oo) in interval notation.
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a baker made 260 cupcakes last week of 55% were chocolate how many cupcakes were chocolate
Fifty five percent times two hundred and sixty equal one hundred and forty three
Which are perfect square trinomials? Select two options.
x2 − 9
x2 −100
x2 − 4x + 4
x2 + 10x + 25
x2 + 15x + 36
Answer:
C. x2 − 4x + 4
D. x2 + 10x + 25
Step-by-step explanation:
On edge 2021
The two perfect square trinomial are
x2 − 4x + 4x2 + 10x + 25Options C and D are correctPerfect square trinomialPerfect square trinomial is an algebraic expression takes the form
ax2 + bx + c,
A Perfect square trinomial gotten by the multiplication of a binomial with itself, and a binomial takes the form (x+a).
Therefore, the two perfect square trinomial perfect are
x2 − 4x + 4x2 + 10x + 25More on Arithmetic
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Which ordered pair is a solution of y = 4x? a. (3, 10) b. (-5, -20) c. (-20, -5) d. (1.5, 6)
Answer:
YOUR CORRECT OPTION IS B
B) (-5,-20)
y=4x
x= -5
y= -20
Putting values
-20 = 4(-5)
= -20 = -20
Thus, the correct answer is B
Answer:
b (-5,-20)
Step-by-step explanation:
the first number in an ordered pair is the x value and the second is y so when you substitute in these values you get -20= 4(-5) which is true
To determine whether
(-1,4) is a solution to the equation 3x + 8y =
29, substitute
for x —
and
for y — .
Answer:
(- 1, 4 ) is a solution to the equation
Step-by-step explanation:
Substitute x = - 1 and y = 4 into the left side of the equation and if the value obtained is equal to the right side then it is a solution
Given
3x + 8y = 29, then
3(- 1) + 8(4) = - 3 + 32 = 29 = right side
Thus (- 1, 4 ) is a solution of the equation