Answer:
y = 2x +13
Step-by-step explanation:
when 2 lines are perpendicular, the product of the two gradients is -1
i.e. m x m1 = -1
so from 10y + 5x = 3, the gradient m is -0.5
m1 = -1 / -0.5 = 2
using m1 = 2 and pt(-7,-1),
the eqn is y = (m1)x +c
-1 = 2(-7) + c
c= 13
thus y = 2x +13
The art club has 12 members who are sixth graders 18 members who are seventh graders and 10 members who are eighth-graders. What percent of the art club members are seventh graders?
--------------------------------------------------------------------------------------------------------------------------------
18%
25%
30%
45%
Answer:
18
Step-by-step explanation:
which of these numbers are prime 29,33,51,65,70
Answer:
29 and 51
Step-by-step explanation:
29 and 51 are prime because the only factors of them are the numbers themselves and 1.
29/1 = 29 51/1 = 51
The composite numbers are 33, 65, and 70 because they have more than one factor.
33/3 = 11 65/5 = 13 70/10 = 7
If this answer is correct, please make me Brainliest!
Dave wants to sketch a scale drawing of the porch. Choose a reasonable scale and make a scale drawing of the porch. Label the demensions of the model
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information:
20 feet long 6 feet widthA reasonable scale and make a scale drawing of the porch could be :
1 inch =4 feet
<=> the length side: 20:4 = 5 inches
<=> the width side: 6:4 = 1.5 inches
Hope it will find you well.
Which of the following is the quotient of the rational expressions shown
below?
What is the surface area of the square pyramid?
A net has a square base with side lengths of 2, and 4 triangles with heights of 3.
square units:
9514 1404 393
Answer:
16 square units
Step-by-step explanation:
The area of the square base is ...
A = s²
A = 2² = 4
The area of each triangle is ...
A = (1/2)bh
A = (1/2)(2)(3) = 3
So, the area of the base and 4 triangles is ...
total area = 4 + 4(3) = 16 . . . square units
Answer:
its 16
Step-by-step explanation:
Veronique and Lily compare their investment accounts to see how much they will have in the accounts after seven years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Veronique $1,000 5% 7 Once a year Lily $1,800 9% 7 Once a year A = P (1 + r) Superscript t Which pair of equations would correctly calculate their compound interests? Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9 Veronique: A = 1,800 (1 + 0.05) Superscript 7, Lily: A = 1,000 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9
Answer:
Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7
Step-by-step explanation:
the equation used to calculate future value of an investment (or bank deposit) using compound interest is:
future value = present value x (1 + interest rate)ⁿ
Veronique: future value = $1,000 x (1 + 5%)⁷ = $1,057Lily: future value = $1,800 x (1 + 9%)⁷ = $3,290.47Answer:
the answer would be A
Step-by-step explanation:
what the person above said.
Lucy and Zachary work at a furniture store. Lucy is paid $200 per week plus 7.5% of her total sales in dollars, x x, which can be represented by g ( x ) = 200 + 0.075 x g(x)=200+0.075x. Zachary is paid $233 per week plus 6% of his total sales in dollars, x x, which can be represented by f ( x ) = 233 + 0.06 x f(x)=233+0.06x. Determine the value of x x, in dollars, that will make their weekly pay the same.
Answer:
[tex] f(x) = g(x)[/tex]
[tex] 200 +0.075 x= 233 +0.06 x[/tex]
We can subtract from both sides 0.06x and we got:
[tex] 0.075 x-0.06x +200 = 233[/tex]
And now we can subtract 200 from both sides we got:
[tex] 0.015 x = 33[/tex]
And dividing both sides by 0.015 we got:
[tex] x = \frac{33}{0.015}= 2200[/tex]
And then the final anwer would be x =2200
Step-by-step explanation:
For this case we have the following function for the total sales of Lucy is given by:
[tex] g(x) = 200 +0.075 x[/tex]
And the function for the total sales of Zachary is given by:
[tex] f(x) =233 +0.06 x[/tex]
And we want to determine the value of x, in dollars, that will make their weekly pay the same, so we can set equal the two functions:
[tex] f(x) = g(x)[/tex]
[tex] 200 +0.075 x= 233 +0.06 x[/tex]
We can subtract from both sides 0.06x and we got:
[tex] 0.075 x-0.06x +200 = 233[/tex]
And now we can subtract 200 from both sides we got:
[tex] 0.015 x = 33[/tex]
And dividing both sides by 0.015 we got:
[tex] x = \frac{33}{0.015}= 2200[/tex]
And then the final anwer would be x =2200
A picture shows the net of the lateral surface of the cone. Which statement about this cone is NOT true?
Answer:
Can you include the picture because i don't know which question you are talking about.
Step-by-step explanation:
What is the approximate length of the minor arc XY?
A. 28.3 cm
B. 25.7 cm
C. 14.1 cm
D. 56.5 cm
Answer:
The central angle in radians is (60 / 57.29578)
equals 1.0471975512 radians
arc length = radius * central angle (radians)
arc length = 27 cm * 1.0471975512
arc length = 28.2743338823 =
28.3 cm (rounded)
Answer is A
Step-by-step explanation:
Answer:
the answer will be A. 28.3 I just did it
John made 2 quarts of juice for a school party. He said that he made 2/4 cup of juice. A. Explain John's mistake. B. How many cups of juice did John actually make?
Answer:
A. He thought 1 quart = 1/4 cup
B. actually made 8 cups of juice
Step-by-step explanation:
From conversion,
1 cup =1/4 quarts
A. John thought 1 quarts = 1/4 cup, which was his mistake
B. His 2/4 cups is actually
4*2 = 8 cups
Paco decides to invest $600 into a bank account that gives him a 3.4% interest rate compounded quarterly. He wants to know how long it will take for him to save up to $1,000.
Answer:
It would take 15 years
Step-by-step explanation:
The length of time it takes to reach $1,000 savings can be determined from the future value formula given below:
FV=PV*(1+r/4)^n*4
FV is the target savings of $1,000
PV is the amount invested which is $600
r is the rate of interest of 3.4%
n is the unknown
1000=600*(1+3.4%/4)^4n
1000=600*(1+0.0085 )^4n
1000=600*(1.0085)^4n
1000/600=1.0085^4n
1.666666667 =1.0085^4n
take log of both sides
ln 1.666666667 =4n ln 1.0085
4n=ln 1.666666667/ln 1.0085
4n=0.510825624 /0.008464078
4n=60.35218768
n=60.35218768 /4
n= 15.09
A set of middle school student heights are normally distributed with a mean of 150150150 centimeters and a standard deviation of 202020 centimeters. Darnell is a middle school student with a height of 161.4161.4161, point, 4 centimeters. What proportion of student heights are lower than Darnell's height?
Answer:
71.57% of student heights are lower than Darnell's height
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 150, \sigma = 20[/tex]
Darnell has a height of 161.4 centimeters. What proportion of student heights are lower than Darnell's height?
This is the pvalue of Z when X = 161.4.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{161.4 - 150}{20}[/tex]
[tex]Z = 0.57[/tex]
[tex]Z = 0.57[/tex] has a pvalue of 0.7157
71.57% of student heights are lower than Darnell's height
Answer:
0.7157
Step-by-step explanation:
Darnell's height is 161.4 - 150 = \goldD{11.4}161.4−150=11.4161, point, 4, minus, 150, equals, start color #e07d10, 11, point, 4, end color #e07d10 relative to the mean.
This is \dfrac{\goldD{11.4}}{20} = \blueD{0.57}
20
11.4
=0.57start fraction, start color #e07d10, 11, point, 4, end color #e07d10, divided by, 20, end fraction, equals, start color #11accd, 0, point, 57, end color #11accd standard deviations relative to the mean. This is Darnell's z-score.
Hint #22 / 4
We want to find the proportion of student heights below a z-score of \blueD{0.57}0.57start color #11accd, 0, point, 57, end color #11accd:
A card is picked at random from the following set. What is P(9) ? Write your answer as a percentage in the box given below.
Answer:
25%
Step-by-step explanation:
The (not mentioned in the question) set is: 6 7 8 9.
There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:
P(9) = favorable outcome/total outcomes
P(9) = 1/4 = 0.25 or 0.25*100 = 25%
Deja is training for a race on Saturday. On Sunday, she runs 1/6 of a mile. On Monday she runs 1/5 of a mile. On Tuesday she runs 1/4 of a mile. On Wednesday she runs 1/3 of a mile. On Thursday she runs 1/2 of a mile. Finally, on Friday, the day before the race, she runs a whole mile. If the length of the race is the same as the total distance Deja ran in preparation, how many miles is the race?
Answer:
49/20 miles or 2.45 miles
Step-by-step explanation:
LCM(1,2,3,4,5,6,)=60
10/60+12/60+15/60+20/60+30/60+60/60=147/60=49/60 or 2.45
What are the steps of finding the Circumference of a circle
Answer:
How to find the circumference of a circle:
Step-by-step explanation:
The circumference of a circle can be found by multiplying pi which is 3.14 by the diameter of the circleIf a circle has a diameter of 4, its circumference is 3.14 x 4 = 12.56If you know the radius, the diameter is twice as largeHope this helps! :)
Some insight: This is a unit rate question.
Answer:
i think is B.
Step-by-si tep explanation:
Which of the following situations is not an example of financial responsibility? Select all that apply.
(there is more than one answer)
A.pay with cash instead of a credit card
B.making payments on time
C.not sticking to a set budget
D.spending all of your paycheck
E.using coupons when you can
Answer:
C.not sticking to a set budget
D.spending all of your paycheck
Step-by-step explanation:
The situations which are not an example of financial responsibility are C. not sticking to a set budget and D. spending all of your paychecks.
Given are some situations in the options.
It is required to find those which are included in the financial responsibility.
Financial responsibility can be defined as the responsibility of a person who uses finances responsibly without spending too much or dealing with finance carelessly.
A) pay with cash instead of a credit card
This is something a responsible person does, who will not use a credit card until urgency came.
B) making payments on time
A financially responsible person will make payments on time. I not, the person will be affected by future bulk payments which will be very difficult then.
C) not sticking to a set budget
A financially irresponsible person will not stick to a budget and spends so much carelessly.
D) spending all of your paycheck
If a person is financially responsible, the person will not spend ll paychecks, since some will go to savings.
E) using coupons when you can
Using coupons when you can is a good thing in the case of finance since it will save money.
Hence the correct options are C and D.
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PLZ HElp!! Solve the inequality. –6 < 2x – 4 < 4
Answer:
- 1 < x < 4
Step-by-step explanation:
[tex] - 6 < 2x - 4 < 4 \\ - 6 + 4 < 2x < 4 + 4 \\ - 2 < 2x < 8 \\ \frac{ - 2}{2} < x < \frac{8}{2} \\ \purple{ \boxed{ \bold{ - 1 < x < 4}}}[/tex]
6 x 10 to the power of -2 is how many times as large as 2 x 10 to the power of -8. PLEASE RESPOND QUICK
Answer:
False
Step-by-step explanation:
The left side 0.06 does not equal to the right side 0, which means that the given statement is false.
What is the slope of the line that passes through the points (-2, 7) and (2,-5)?
Write your answer in simplest form.
Answer:
Denote that line: y = ax + b
Line passes (-2, 7) and (2,-5):
=> -2a + b =7
=> 2a + b = -5
Add both side of above equations:
=> 2b = 2
=> b = 1
=> a = (-5 - 1)/2 = -3
=> Slope a = -3
Hope this helps!
:)
This question is based on the equation of line. Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).
Given:
Points are (-2, 7) and (2,-5).
We need to calculate the slope of the line that passes through the points (-2, 7) and (2,-5).
According to the question,
As we know that, equation of line: y = mx +c
It is given that, line passes through points, (-2, 7) and (2,-5).
Now, putting this points in equation of line: y = mx +c.
We get,
=> -2m + c =7 ...(1)
=> 2m + c = -5 ...(2)
Now, adding and solving above two equations,
We get, c = 1
Then, putting the value of b= 1 in equation (1).
We get, m = -3.
Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).
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3.64 divided by 60.5 ROUNDED plz answer!!!
Answer:
0.06
Step-by-step explanation:
A support wire extends from the top of a 225 feet radio tower to the ground and makes an angle of 64° with the ground. How long does the wire need to be to reach from the top of the tower to the ground?
Answer:
250.34 feet
Step-by-step explanation:
Find attached to this answer and appropriate diagram.
From this question, we can see that this is a trigonometric function
The height of the radio tower = 225 feet = Opposite side
θ = Angle 64°
In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.
From the attached diagram, we can see that that is equivalent to finding the hypotenuse.
Hence, we are using the Trigonometric function of Sine.
sin θ = Opposite side/ Hypotenuse side
sin 64 = 225 feet/ Hypotenuse
Cross multiply
sin 64 × Hypotenuse = 225 feet
Divide both sides by sin 64
Hypotenuse = 225 feet / sin 64
Hypotenuse = 250.33543661 feet
Approximately = 250.34 feet
Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.
30 points! Fraction Equasion
Answer: -3.3
Step-by-step explanation:
Answer:
-3.3
Step-by-step explanation:
-2.3 - (4.5 - 3 1/2)
Change the fraction to a decimal)
-2.3 - (4.5 - 3.5)
Parentheses first
-2.3 - (1)
Subtract
-3.3
-1/2y=1/2x+5 and y=2x+2
I assume this is the intersection of two lines, i.e. -1/2y is (-1/2)y. Please tell me if it's really -1/(2y).
(-1/2)y=(1/2)x+5
Multiplying both sides by -2
y = - x - 10
The other equation is
y = 2x + 2
We can equate them to find the meet
y = - x - 10 = 2x + 2
-3x = 12
x = -4
y = 2x + 2 = -6
Check: (-1/2)y=3, (1/2)x+5=3, equal, good
2x+2=2(-4)+2=-6=y, good
Answer: x=-4, y=-6
3. Which line is horizontal?
A. y = 2
B. y = 2x
C. y = -2x
D. y = x
Answer: y = 2
Explanation: When the equation of any line reads y = a number, its graph will always be a horizontal line.
So, y = 2 would be a horizontal or flat line.
simplify the expression :
11(3p+5x)+4x-x
1)33p+58x
2)14p+58x
3)33p+19x
4)14p+19x
Answer:
58 x + 33 p thus 1) is the Answer
Step-by-step explanation:
Simplify the following:
11 (3 p + 5 x) + 4 x - x
4 x - x = 3 x:
11 (3 p + 5 x) + 3 x
11 (3 p + 5 x) = 33 p + 55 x:
33 p + 55 x + 3 x
Grouping like terms, 33 p + 55 x + 3 x = (55 x + 3 x) + 33 p:
(55 x + 3 x) + 33 p
55 x + 3 x = 58 x:
Answer: 58 x + 33 p
Answer:
1) 33p+58x is the correct answer ☺️
Step-by-step explanation:
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answer:
B. The graph contains [tex](1,\frac{1}{10})[/tex].
Step-by-step explanation:
I graphed the equation on the graph below The line goes through the point (1, 1/10).
lisa will choose between two restaurants to purchase pizzas for her party. the first restaurant charges a fee of $5 for the entire purchase and $16 per pizza. The second restaurant has no delivery fee and charges $17 per pizza. Please help and hurry
Every time, this second restaurant is less expensive; therefore, Lisa should decide to get pizzas for her group from the second restaurant.
What is the accounting definition of a purchase?All items and services purchased for resale of consumption throughout the production process are included in spending on goods and services, excluding capital goods whose consumption is recorded as consumption for fixed capital.
We have For the first restaurant
the total cost per pizza is $16 + $5 = $21.
For the second restaurant
the total cost per pizza is $17.
If Lisa purchases x pizzas,
the total cost from the first restaurant will be $21x + $5 = $21x + $5.
The total cost from the second restaurant will be $17x.
If x = 1, the first restaurant will cost $26 and the second restaurant will cost $17, so the second restaurant is cheaper.
If x = 2,
the first restaurant will cost $47 and the second restaurant will cost $34, so the second restaurant is cheaper.
If x = 3, the first restaurant will cost $68 and the second restaurant will cost $51, so the second restaurant is cheaper.
So, in every case, the second restaurant is cheaper, and Lisa should choose the second restaurant to purchase pizzas for her party.
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Rosia ate 1/8 of a pizza. She then split the remainder of the pizza so she could share with her friend. What fraction of the pizza did they each take home?
Answer:
7/16
Step-by-step explanation:
how to find the mean median and mode for (6, 5 ,6) ( 7 ,6 ) (6 ,7 ) (4 ,6 ) ( 7 ,7 ) ( 6 ,7 ) (7 ,7) ( 4 ,7)
Answer:
the answer is 7
Answer:
7
Step-by-step explanation:
