helen has a basket of apples. bob has 2/3 the amount of apples in his basket. if the difference in the amount of apples in their baskets is 9, find the amount of apples helen and bob have in their baskets. WILL GIVE BRAINLIEST IF CORRECT!
Answer:
Helen has 27 apples and Bob has 18.
Step-by-step explanation:
Find the value of x. The diagram is not to scale.
Given: angle SRT = angle STR, M Angle SRT = 20, m angle STU = 4x
In the given diagram, the value of x is 40
From the question,
we are given that
∠ SRT = ∠STR, and m ∠SRT = 20,
Also, from the question
m ∠STU = 4x
To determine the value of x,
From the diagram,
We can observe that
∠STR + ∠STU = 180° (Sum of angles on a straight line)
Since ∠ SRT = ∠STR, and m ∠SRT = 20,
Then,
∠STR = 20
Then,
∠STR + ∠STU = 180° becomes
20 + 4x = 180
To solve this,
First, subtract 20 from both sides
20 - 20 + 4x = 180 - 20
Then,
4x = 160
∴ x = 160 ÷ 4
x = 40
Hence, the value of x is 40
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Answer:
Step-by-step explanation:
The answer is 40.
x=40
This figure has two intersecting lines and a ray.
What is the value of x?
Enter your answer in the box.
x =
Answer:
The correct answer is 24
Step-by-step explanation:
K12 test
figure has two intersecting lines and a ray.
From this figure, the value of x= 24
Given :
Two intersecting lines and a ray. one angle is 110 degrees.
opposite to 111 degrees are 87 and x degrees
From the two intersecting lines, we know that vertical opposite angles are equal .
111 degrees and 87+x are vertical opposite angles
So, they are equal .
Lets make them equal and solve for x
[tex]111=87+x[/tex]
Now we subtract 87 on both sides and solve for x
[tex]111-87=87-87+x\\\\x=24[/tex]
So the value of x is 24 degrees
Learn more : brainly.com/question/68367
In a random sample of 175 community college students, the mean number of hours spent studying per week is 13.7 hours and the standard deviation is 4 hours.
Assuming the distribution of the number of hours community college students study per week is normally distributed, approximately how many of the students in the sample study between 9.7 and 17.7 hours per week?
Answer:
Approximately there are 119.47 students per week
Step-by-step explanation:
The # of students in the sample study between 9.7 and 17.7 hrs per week;
P (9.7 < x < 17.7) = P ((9.7 - 13.7)/4 < 7 < (17.7-13.7)/4)
P (-4/4 < 7 < 4/4)
P (-1 < 7 < 1)
0.8413 - 0.1587
0.6827
Therefore the # of student = n P
175 * 0.6827
119.47
Identify the function shown in this graph.
A.y=-x+3
B. y=-5x + 3
C. y=-5x-3
D. y = 5x - 3
I NEED HELP WITH THESE MATH PROBLEMS. I put 30 points for this.
1. The go-cart traveled at 10 miles per hour for half an hour. How far did it travel? show your work.
2. Gooey Good Bakery can bake 16 cakes in 1 hour. How many cakes can the bakery make in 5 3/4 hours? show your work.
3. Jennifer is adding a border to the quilt she made. Her quilt is 6 feet long and 5 feet wide. With an extra 6 inches to overlap, how much border material will she need? show your work.
4. The Marvelous Marble Company makes 100 marbles in 2 hours. How many hours would it take the company to make 1000 marbles? show your work.
5. A feather floats to the ground at a speed of 2 centimeters per second. Find the distance the same feather travels if it floats down for 20 seconds. show your work.
Answer:
1.5 miles
2.92
3.
Step-by-step explanation:
Find the volume of this
prism.
Answer:
Volume of the prism =area of base*height
=[3*3+3*6]*9
=243 cm³
Alternate
Volume of prism : l*b*h+l*b*h=3*3*9+3*6*9=243cm³
You are playing a card game. If you pull an Ace you win $26, if you pull the King of hearts you win $204, if you pull a jack or a queen you win $13, all other pulls you lose. What price should you be charged to make this a fair game?
$5
$7
$6
$8
Using the expected value, it is found that a price of $6 should be charged to make it a fair game.
--------------------------
The game is fair if the expected value is 0.The expected value is given by each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.In a standard deck, there are 52 cards.
The cost of x.
There are 4 Aces in a standard deck, thus [tex]\frac{4}{52}[/tex] probability of earning 26 - x.
There is 1 King of Hearts in a standard deck, thus [tex]\frac{1}{52}[/tex] probability of earning 204 - x.
There are 4 Jacks and 4 Queens in a standard deck, thus [tex]\frac{8}{52}[/tex] probability of winning 13 - x.
The other 39 cards you lose, thus [tex]\frac{39}{52}[/tex] probability of losing x.
Considering we want the expected value to be 0.
[tex]\frac{4}{52}(26 - x) + \frac{1}{52}(204 - x) + \frac{8}{52}(13 - x) - \frac{39}{52}x = 0[/tex]
[tex]\frac{4(26 - x) + 204 - x + 8(13 - x) - 39x}{52} = 0[/tex]
[tex]104 - 4x + 204 - x + 104 - 8x - 39x = 0[/tex]
[tex]52x = 312[/tex]
[tex]x = \frac{312}{52}[/tex]
[tex]x = 6[/tex]
$6 should be charged.
A similar problem is given at https://brainly.com/question/24905256
Multiply. Write your answer as a fraction in simplest form. 2/3 × 9/4
Answer:
1.5 or 1 1/2
Step-by-step explanation:
2*9 = 18
4*3 = 12
18/12 = 3/2
1.5 or 1 1/2
In a class of 30 children, 60% of the children are girls. How many of the girls are there in class? 18
You are correct!
20 Characters
What is the value of the y-intercept of the graph of f(x) = e^1-x – 1?
Answer:
(0, e-1) or (0, 1.718) to the nearest thousandth.
Step-by-step explanation:
The y-intercept occurs when x = 0 so here we have:
y = e^(1 - 0) - 1
= e - 1
So the y-intercept is the point (0, e-1)
HELP! Which expression is equivalent to a^b/c
Answer:
[tex]{ \rm{ {a}^{ \frac{b}{c} } \: \dashrightarrow \: ( {a}^{b}) {}^{ \frac{1}{c} } }} \\ \\ { \boxed{ \rm{ \boxed{} \: \: \sqrt[c]{ {a}^{b} } }}} \\ [/tex]
Evaluate.
(2a−1/3)÷b/15 when a=−3/5 and b=−6.75
Enter your answer as a simplified mixed number in the box.
Answer:
[tex]3 \frac{11}{27} \\ [/tex]
Step-by-step explanation:
[tex](2a - \frac{1}{3} ) \div \frac{b}{15} \\ (2 \times - \frac{3}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) \div \frac{ - 6.75}{15} \\ ( \frac{ - 18 - 5}{15} ) \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \times - \frac{15}{6.75} \\ \frac{23}{6.75} \\ \frac{23 \times 100}{6.75 \times 100} \\ \frac{2300}{675} = 3 \frac{11}{27} \\ [/tex]
Answer:
Step-by-step explanation:
What is the product of 64and 35?
Answer:
99
Step-by-step explanation:
64
+ 35
= 99
Just #19. I don’t know how to solve. Please help me solve. I need steps with the numbers. I will give brainliest.
Answer:
In 2x[tex]\geq[/tex]8 the answer is: x[tex]\geq[/tex]4
Step-by-step explanation:
If we look at the 2x[tex]\geq[/tex]8, we can easily solve it. We know that the [tex]\geq[/tex] symbol means greater than or equal to. If we go by greater than, it could be any number of numbers. However, we know that it is also possible equal. For this to be true, then whatever 2 is being multiplied by must possibly give a product of eight also. Because of this, we can use the knowledge that 2*4 equals 8. So we simply put it in. x must be greater than or equal four in order to make the statement true. Remember the greater to or equal than part. It could be more than four. We are just saying the minimum of x would be four.
3 Equivalent ratioS for 7:9
Answer:
21:27
14:18
35:45
Step-by-step explanation:
These are only a few
PLZZZ HELP!!!!!!!!!!!!!!!!!!!!!!
Harrison and Sherrie are making decisions about their bank accounts. Harrison wants to deposit $200 as a principal amount, with an interest of 2% compounded quarterly. Sherrie wants to deposit $200 as the principal amount, with an interest of 4% compounded monthly. Explain which method results in more money after 2 years. Show all work.
Answer:
HarrisonPrincipal P = 200Interest rate r = 2% = 0.02Number of compounds n = 4Time t = 2Total amount:
[tex]A = P(1+r/n)^{nt}=200*(1+0.02/4)^{4*2} = 208.14[/tex]SherriePrincipal P = 200Interest rate r = 4% = 0.04Number of compounds n = 12Time t = 2Total amount:
[tex]A = P(1+r/n)^{nt}=200*(1+0.04/12)^{12*2} = 216.63[/tex]As we see the second method is a better choice
Answer:
SHERRIE
- Princible P= 200
- Interest rate R= 4% or 0.04
- Number of compounds N= 12
- Time T= 2
HARRISON
- Princible P= 200
- Interest rate R= 2% or 0.02
- Number of compounds N= 4
- Time T= 2
Formula: A= P(1+r/n)^nt
Now plug in values for each person:
200(1+0.02/4)^4*2= 208.14
200(1+0.04/12)^12*2= 216.63
And as you can see, the second method (Sherrie's) is the best choice.
Step-by-step explanation:
find the difference -4 -5
Answer:
-9
Step-by-step explanation:
Think about the Keep and change rule, since this is negative, the more negative numbers there are the more it will go deeper. -4 - 5 is -9 because just create a number line and place -4 one it, then jump backwards 5 times.
Marcia needs to wrap a gift box that's 16 in x 18 in x 44 in.
How much wrapping paper will she need to cover the surface area of the box?
A) 1,784 in^2
B) 12,672 in^2
C) 6,336 in^2
D) 3,568 in^2
Answer:
B. 12,672 in^2
16 x 18 x 44 = 12672
Answer:
D.
Step-by-step explanation:
I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on
Hi there!
What we need to know:
The three main trigonometric ratios are sine, cosine and tangent:
[tex]\displaystyle sin\theta=\frac{opposite}{hypotenuse}[/tex] [tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex] [tex]\displaystyle tan\theta=\frac{opposite}{adjacent}[/tex]
"Opposite" refers to the side opposite the angle that is not the hypotenuse.
"Hypotenuse" refers to the side opposite the right angle of a right triangle.
"Adjacent" refers to the side next to the angle that is not the hypotenuse.
"θ" is read as "theta". It just represents the angle.
Keep in mind that these three ratios only apply to right triangles.
You can use the mnemonic "soh-cah-toa" to help you remember these ratios.
First question
For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.
Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:
[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Plug in the given information:
[tex]\displaystyle cos56=\frac{a}{13}[/tex]
Isolate a by multiplying both sides by 13:
[tex]13\displaystyle cos56=a[/tex]
Solve using a calculator:
[tex]a=7.3[/tex]
Therefore, a is equal to 7.3 when rounded to 1 decimal place.
Other information you will need to know:
In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:
[tex]\displaystyle sin\theta=\frac{5}{8}[/tex]
In this case, we will use the inverse sine ratio:
[tex]\displaystyle \theta=sin^-^1(\frac{5}{8})[/tex]
Solve using a calculator:
[tex]\displaystyle \theta=39[/tex]
Therefore, the angle would equal approximately 39 degrees.
I hope this helps!
what percent of 38 = 36.1
Answer:
Solution for What is 38 percent of 95: 38 percent *95 = (38:100)*95 = (38*95):100 = 3610:100 = 36.1. Now we have: 38 percent of 95 = 36.1.
Step-by-step explanation:
Answer:
percent grade
89%, 70%, 60%
Step-by-step explanation:
2, 98.2, 2/8, 4/6
can u help solve for x 3(x-4)-12=2(x-6)+8
Answer:
[tex]{ \rm{3(x - 4) - 12 = 2(x - 6) + 8}} \\ \\ { \rm{3x - 12 - 12 = 2x - 12 + 8}} \\ \\ { \rm{3x - 24 = 2x - 4}} \\ \\ { \rm{3x - 2x = - 4 + 24}} \\ \\ { \rm{x = 20}}[/tex]
Helpppppppp!!! it’s urgent
Answer:
6
Step-by-step explanation:
75-6=4y+4y+3.5y
or 11.5y=69
or y=69\11.5
=6
Answer:
- 7.5 y - 4y= 6 - 75
Step-by-step explanation:
= - 11.5y = -69
= y = 6
What is the width of a rectangular prism with a length of 24 inches and height of 10 inches and a volume of 2880 cubic inches?
Answer:
12
Step-by-step explanation:
you reverse the operations, you multiply LxWxH to get the volume, so you can do V/L/H to get the width. 2880 divided by 24 equals 120, and 120 divided by 10 equals 12, so therefore the width is 12. Hope this helps!
Can someone find the slope of a line parallel to 5x+2y=6
Answer:
-5/2
Step-by-step explanation:
5x+2y=6
First, put the equation in slope-intercept form
y = mx+b where m is the slope and b is the y intercept
Subtract 5x from each side
5x-5x+2y=-5x+6
2y = -5x+6
Divide each side by 2
2y/2 = -5/2x +6/2
y = -5/2 x +3
The slope is -5/2x
Lines that are parallel have the same slope
i need help plz..................................
Factorise
8f^2 + 7f
plz help! answer will get brainliest!!!
Answer:
f(8f + 7)
Step-by-step explanation:
8f^2 + 7f
= f(8f + 7)
The factor of 8f² + 7f is f(8f + 7).
What is factorization?Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.
Given:
An expression,
8f² + 7f.
To find the factor:
8f² + 7f,
= f(8f + 7)
Therefore, f(8f + 7) is the factor.
To learn more about the factorization;
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3[(5x + 1) - 2) = 2(4x - 3)
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Exact Form:
x=−3/7
Decimal Form:
x=−0.¯¯¯¯¯¯¯¯¯¯¯428571
If f(x) = x2 + 3x + 1, what is f(x + 2)?
Answer:
- f(X+2) = x^2 +7x +11
Step-by-step explanation:
- f(X) = x^2 +3x+1
- f(X+2) =(X+2)^2 + 3(X+2) + 1
- f(X+2) = x^2 + 4x + 4 + 3x + 6 +1
- f(X+2) = x^2 +7x +11
Answer:
Step-by-step explanation:
x2+3x+1
f(x+2)= 2x+3x+1
=5x+1
The marked price of a table and six chairs is sh 10500. Kang’ori bought the set on hire purchase at sh 10815. (a) Express the extra amount of money he paid as a percentage of the market price. (b) If he paid monthly instalments of sh 1150 for 6 months, what deposit did he pay?
9514 1404 393
Answer:
(a) 3%
(b) sh 3915
Step-by-step explanation:
a) The extra amount is ...
10815 -10500 = 315
As a percentage of the marked price, this is ...
315/10500 × 100% = 3%
__
b) The total paid is the sum of the down payment and the monthly installments:
10815 = down + 1150×6
10815 -6900 = down . . . . . . . . . . subtract 1150×6 from both sides
down = 3915 . . . . . . . . . evaluate
The deposit paid was sh 3915.