Now,
( 4x + 20 )° = ( 5x - 10 )° ( Alternative angle )
20° + 10° = 5x - 4x
30° = x
◆ x = 30°
I hope it's help you...
Mark me as brainliest...
Using what you have learned about solving systems of equations, find the number that represents the apple, banana, and cherry.
Answer:
[tex]Apple \to 4[/tex]
[tex]Banana \to 4[/tex]
[tex]Cherry \to 5[/tex]
Step-by-step explanation:
Given
[tex]A \to Apple[/tex]
[tex]B \to Banana[/tex]
[tex]C \to Cherry[/tex]
From the rows, the equation is:
[tex]B + 2A =12[/tex] --- (1)
[tex]2B + C = 13[/tex] --- (2)
[tex]A + 2C = 14[/tex] --- (3)
Make A the subject in: [tex]A + 2C = 14[/tex]
[tex]A = 14 -2C[/tex]
Substitute [tex]A = 14 -2C[/tex] in [tex]B + 2A =12[/tex]
[tex]B + 2(14 - 2C ) = 12[/tex]
[tex]B + 28 - 4C = 12[/tex]
Make B the subject
[tex]B = 4C - 28 +12[/tex]
[tex]B = 4C -16[/tex]
Substitute [tex]B = 4C -16[/tex] in [tex]2B + C = 13[/tex]
[tex]2(4C - 16) + C = 13[/tex]
[tex]8C - 32 + C = 13[/tex]
Collect like terms
[tex]8C + C = 13+32[/tex]
[tex]9C = 45[/tex]
Divide by 9
[tex]C = 5[/tex]
Recall that:
[tex]B = 4C -16[/tex]
[tex]B =4*5-16[/tex]
[tex]B =20-16[/tex]
[tex]B =4[/tex]
Recall that:
[tex]A = 14 -2C[/tex]
[tex]A= 14 -2*5[/tex]
[tex]A= 14 -10[/tex]
[tex]A =4[/tex]
Hence:
[tex]Apple \to 4[/tex]
[tex]Banana \to 4[/tex]
[tex]Cherry \to 5[/tex]
4x+y>9 Select all the correct answers. (1, 6) (2, 2) (3, −4) (5, 0) (−1, 13)
Answer: 1,6 2,2 5,0 These are the correct answers.
Step-by-step explanation:
Let point C be the center of the circle below. What is the
approximate length of minor arc XZ? Answers are in inches.
NEED ANSWER ASAP please, check the picture
Answer:
8.58
Step-by-step explanation:
the length of minor arc XZ
= 82/360 × 2 × 3.14 × 6
= 8.58 in
D+16/3=17 the steps??!!
Answer:
11
Step-by-step explanation:
D+16/3=17 the steps?
1. D+16/3=17
Divide 16/3.
D+6 = 17
2. subtract 6 from both side.
D = 11.
9x9=
8x8=
8x7=
5x4=
Vă rog să mă ajutați
Answer:
9×9=72
8×8=64
8×7=56
5×4=20
Answer
9x9=81
8x8=64
8x7=56
5x4=20
Step-by-step explanation:
7. CHALLENGE: Use the digits 0 to 9 to make the equation true. You don't need to use all thedigits you can only use each digit once.
20 = ___+(___-___)×___
9514 1404 393
Answer:
20 = 2 + (7 -4) × 6
Step-by-step explanation:
The Order of Operations requires the parentheses be evaluated first, then the multiplication performed. Finally, the addition is performed.
If each of the blanks is filled with a single digit, the result of the multiplication must be a composite number greater than 10. Those are 12, 14, 15, 16, 18, 20. For the expression shown above, we have chosen to make the product be 18. That means the first blank is filled with 2 and the remaining blanks must evaluate to one of the products 2×9 or 3×6.
We have chosen 6 for the last blank, so the two blanks in parentheses must have a difference of 3. The digits 2 and 6 cannot be used, leaving possible choices as (3-0), (4-1), (7-4), (8-5).
Our final expression is chosen to be ...
20 = 2 +(7 -4)×6
Construct an equation that has k = 9 as its solution. Use k on both sides of the equation.
Answer:
10k ÷ 10 + 1 = k + 1
Step-by-step explanation:
LHS
10k ÷ 10 + 1
10(9) ÷ 10 + 1
90 ÷ 10 + 1
10
RHS
k + 1
9 + 1
10
10k ÷ 10 + 1 = 10
You have $3.40 and would like to buy some coffee. If a pound costs $8, how many ounces can you buy?
Answer:
6.8 ounces
Step-by-step explanation:
1 lb = 16 oz
3.40/8 * 16 = 6.8
Find the slope of the line on the graph.
The slope should be -1/2, because the line goes down 1 unit and then right 2 units.
Also it would be y = -1/2x+1 in y=mx+b.
Solve for x. Round to the nearest tenth of a degree, if necessary.(step by step would help, thank you)
Answer:
x = 30.5 degree
Step-by-step explanation:
take angle x as reference angle
using sin rule
sin x = opposite / hypotenuse
sin x = 3.4 / 6.7
sin x = 0.507
x = [tex]sin^{-1} (0.507)[/tex]
x = 30.46
x = 30.5 degree
What is the answer to this I’m confused
Answer:
this is an accurate equation because the square root of 3•3•5•5•7•7 is 105 & 3•5•7 is also 105, making them equal! i’m sorry i also don’t understand what the question is asking, but i hope this helped :/
Evaluate a^4 - 6b + 3b ÷ ac for a=-2, b=6, c=3
Show work please
Answer:
0.333
Step-by-step explanation:
2^4-6(6)+3(6)÷2×3
=16-36+18÷6
=-2÷6=0.333
Question Progress
Homework Progress
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A semicircle has radius 8.2 cm.
Work out the area of this semicircle.
Take a to be 3.142 and give your answer to 1 decimal place.
Answer:
Area = 105.6 square cm
Step-by-step explanation:
[tex]Area \ of \ circle = \pi r^2\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.142 \times 8.2^2 = 105.6cm^2[/tex]
Pleaseeee help is for today
Answer:
4
Step-by-step explanation:
yes
13.
There is a box containing both red and green apples. There are 60 apples in total.
Determine the number of green apples if 40% of the apples are red.
a
b)
c)
d)
42
36
34
20
Answer:
36 green apples
Step-by-step explanation:
Red=40%
Green =x%
40/100 × 60apples
0.4×60
24red apples
so 60-24
36green apples
Answer:
b) 36.
Step-by-step explanation:
Justicemoya35 has an excellent answer, but I will provide a slightly different approach!
According to the word problem, the box contains 60 apples.
If 40% of the apples are red, then 60% of the apples are green.
As I mentioned before, there are 60 apples; 60% of the 60 apples are green.
This means we have the find 60% of 60.
We can find the percentage of a number by using this formula:
60% OF 60
[tex]\frac{is}{of} =\frac{percent}{100}[/tex]
[tex]\frac{x}{60} =\frac{60}{100}[/tex]
Now that I've correctly set up the problem, we cross multiply, then divide the products.
[tex]60*60=3600[/tex]
[tex]100*x=100x[/tex]
[tex]3600/100x=36[/tex]
[tex]x=36.[/tex]
Therefore, 36 apples are red.
A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce:
f(n) = 9(0.7)n
What does the number 0.7 represent? (1 point)
A.The ball bounces to 30% of its previous height with each bounce
B.The height from which the ball was dropped at the nth bounce is 0.7 feet
CThe height at which the ball bounces at the nth bounce is 0.3 feet
D.The ball bounces to 70% of its previous height with each bounce
2 x 140 5/10 Solve this please...
Answer:
281
Step-by-step explanation:
(Sorry I'm not sure exactly if that's what you were looking for!!) I may be wrong! The 140 5/10 part messed me up a little bit because I don't know if it was 140 and 5/10 (All as one number) so I solved accordingly! I hope that helps!
Which graph represents an exponential function?i
PLEASE SOMEONE HELP ME ILL MARK BRAINLESS AND PLEASE EXPLAIN AHHHH HELP
Step-by-step explanation:
The 2 lines are parallel to each other which means that angle #5 and 93° are alternate interior angles so by definition, they are equal. Hence angle 5 = 93°
PLEASEEEE HELPPP IM BEING TIMEDDD WILL GIVE BRAINLIEST AND POINTS
Choose the polynomial written in standard form.
xy2 + 4x4y + 10x2
x4y2 + 4x3y + 10x
x4y2 + 4x3y5 + 10x2
x6y2 + 4x3y8 + 10x
Answer:
Can you please organize them so that the exponents are marked as x^2?
Step-by-step explanation:
To me, none of this is in standard form because the numbers are before the variables.
Calculate the volume of the rectangular pyramid below
Answer:
300mm^3
Step-by-step explanation:
formula: [tex]\frac{lwh}{3}[/tex]
10x7.5x12= 900
900/3=300mm^3
Classification of respondents only on the basis of gender is an application of Select one:
1)Ordinal Scale
2)Ratio Scale
3)Nominal Scale
4) Interval Scale
Evaluate 3xy+w. If x=4, y=5 and w=-3
Help
Answer:
57
Step-by-step explanation:
Given:
x = 4
y = 5
w = -3
Work:
3xy + w
3(4)(5) + (-3)
12(5) - 3
60 - 3
57
Based only on the information given in the diagram, it is guaranteed that ДАВС дXYZ. A. True B. False
Answer:
True
Step-by-step explanation:
They both have a 90 degree angle90+38=128180-128=52The triangles are similar by AAA(Angle Angle Angle)Find the measure of the arc indicated.
Answer:
option 3
hope youre online exam will be easy
Step-by-step explanation:
Using AJKL, what is the length of JK? Answers are in feet.
NEED HELP ASAP
Answer:
JK = 21 ft
Step-by-step explanation:
To find JK = x, apply Trigonometry function.
Reference angle = 65°
Opposite side = JK = x
Adjacent side = KL = 10 ft
Apply TOA:
Tan 65° = Opp/Adj
Tan 65° = x/10
Multiply both sides by 10
10*Tan 65° = x
21.4450692 = x
x = 21 ft (nearest feet)
PLEASE HELP ME !!! ASAP PLS!!!
Answer:
AI and AJ
Step-by-step explanation:
Opposite rays start at the same point (A) and go in the complete opposite direction
pls help for number 3!!
Answer:
1820
Step-by-step explanation:
13 x 14 x 10 = 1820
Please mark brainliest
What is the value of x?
Answer:
45 degree
Step-by-step explanation:
3x - 9 + 24 + 30 = 180 degree (being sum of interior angles of a triangle)
3x + 45 = 180
3x = 180 - 45
x = 135/3
x = 45 degree
Answer:45 độ
Step-by-step explanation:
3x - 9 + 24 + 30 = 180 độ (là tổng 3 góc của tam giác)
3x + 45 = 180
3x = 180 - 45
x = 135/3
x = 45 độ
A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence interval for the population mean. Round your answers to one decimal place. ( , ) b. Assume that the same sample mean was obtained from a sample of items. Provide a confidence interval for the population mean. Round your answers to two decimal places. ( , ) c. What is the effect of a larger sample size on the interval estimate? Larger sample provides a - Select your answer - margin of error.
Answer:
(a): The 95% confidence interval is (46.4, 53.6)
(b): The 95% confidence interval is (47.9, 52.1)
(c): Larger sample gives a smaller margin of error.
Step-by-step explanation:
Given
[tex]n = 30[/tex] -- sample size
[tex]\bar x = 50[/tex] -- sample mean
[tex]\sigma = 10[/tex] --- sample standard deviation
Solving (a): The confidence interval of the population mean
Calculate the standard error
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_x = \frac{10}{\sqrt {30}}[/tex]
[tex]\sigma_x = \frac{10}{5.478}[/tex]
[tex]\sigma_x = 1.825[/tex]
The 95% confidence interval for the z value is:
[tex]z = 1.960[/tex]
Calculate margin of error (E)
[tex]E = z * \sigma_x[/tex]
[tex]E = 1.960 * 1.825[/tex]
[tex]E = 3.577[/tex]
The confidence bound is:
[tex]Lower = \bar x - E[/tex]
[tex]Lower = 50 - 3.577[/tex]
[tex]Lower = 46.423[/tex]
[tex]Lower = 46.4[/tex] --- approximated
[tex]Upper = \bar x + E[/tex]
[tex]Upper = 50 + 3.577[/tex]
[tex]Upper = 53.577[/tex]
[tex]Upper = 53.6[/tex] --- approximated
So, the 95% confidence interval is (46.4, 53.6)
Solving (b): The confidence interval of the population mean if mean = 90
First, calculate the standard error of the mean
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_x = \frac{10}{\sqrt {90}}[/tex]
[tex]\sigma_x = \frac{10}{9.49}[/tex]
[tex]\sigma_x = 1.054[/tex]
The 95% confidence interval for the z value is:
[tex]z = 1.960[/tex]
Calculate margin of error (E)
[tex]E = z * \sigma_x[/tex]
[tex]E = 1.960 * 1.054[/tex]
[tex]E = 2.06584[/tex]
The confidence bound is:
[tex]Lower = \bar x - E[/tex]
[tex]Lower = 50 - 2.06584[/tex]
[tex]Lower = 47.93416[/tex]
[tex]Lower = 47.9[/tex] --- approximated
[tex]Upper = \bar x + E[/tex]
[tex]Upper = 50 + 2.06584[/tex]
[tex]Upper = 52.06584[/tex]
[tex]Upper = 52.1[/tex] --- approximated
So, the 95% confidence interval is (47.9, 52.1)
Solving (c): Effect of larger sample size on margin of error
In (a), we have:
[tex]n = 30[/tex] [tex]E = 3.577[/tex]
In (b), we have:
[tex]n = 90[/tex] [tex]E = 2.06584[/tex]
Notice that the margin of error decreases when the sample size increases.
