Answer:
So there are two possibilities:
x = 3, y = 10
x = 10, y = 3
Step-by-step explanation:
Make two equations:
Length = x
Width = y
xy = 30
2x + 2y = 26
You can simplify the second equation to:
x + y = 13
x = 13 - y
(13 - y) * y = 30
13y - y^2 = 30
y^2 - 13y + 30 = 0
Factor:
(y - 3)(y - 10) = 0
y = 3, y = 10
So there are two possibilities:
x = 3, y = 10
x = 10, y = 3
Betsy made a cake for Josie's birthday party. After the party, y of the cake was left.
Later that afternoon, Betsy ate another 2 of the cake. Then, that evening, Josie ate
another 112 of the cake. How much of the cake was eaten in all? Show
your
work.
Answer:
!!4
Step-by-step explanation:
according to my calculation it is 114
the areas of two similar triangles are 42cm and 262.5cm. if the altitude of the smaller triangle is 7cm. what is the length of the base of the larger triangle?
Answer:
75 cm
Step-by-step explanation:
It is given that the triangles are similar. It means that the ratio of their areas are equal to the ratio of their bases and ratio of their altitudes.
Let [tex]A_1[/tex] be the area of 1st triangle.
Let [tex]A_2[/tex] be the area of 2nd triangle.
Let [tex]h_1[/tex] be the altitude of 1st triangle.
Let [tex]h_2[/tex] be the altitude of 2nd triangle.
Let [tex]b_1[/tex] be the base of 1st triangle.
Let [tex]b_2[/tex] be the base of 2nd triangle.
Then [tex]A_1: A_2 = h_1 : h_2 = b_1 : b_2 ...... (1)[/tex]
[tex]A_1 = 42 cm^{2} \\A_2 = 262.5 cm^{2}\\h_1 = 7 cm\\b_2 = ?[/tex]
We know that area of a triangle is:
[tex]A = \dfrac{1}{2} \times b \times h[/tex]
Area of smaller triangle:
[tex]\frac{1}{2} \times b_1 \times 7 = 42\\\Rightarrow b_1 = 12 cm[/tex]
Now, using part of equation (1):
[tex]A_1: A_2 = b_1 : b_2 \\\Rightarrow \dfrac{42}{262.5} = \dfrac{12}{b_2}\\\Rightarrow b_2 = 75 cm[/tex]
Hence, base of larger triangle = 75 cm
CAN SOMEONE PLS HELP!!!
You have 4 yards of ribbon. You need to wrap 6 equal sized boxes with the ribbon. How many feet of ribbon can you use on each box?
Answer:
24
Step-by-step explanation:
1 yard=36 inches
36x4=144
144/6=24
If (A:20:4:16) is a proportion the find out the value of A fastly
Answer: A = 5
Step-by-step explanation:
I'll rewrite this as fractions.
[tex]\frac{A}{20}=\frac{4}{16}[/tex]
Solve for A,
[tex]A=\frac{20*4}{16}\\ A=\frac{80}{16}[/tex]
[tex]A=5[/tex]
Help me with this pls!
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an any quality for the temperature during the winter day. What constant should Digby use in the inequality?
Answer:
8
Step-by-step explanation:
y < mx+c
here y will be the temperature on any particular winter day, x will be the variable on whixh temperature is dependent and m will be the gradient.
The temperature must always be less than 8 so c will be 8.
y < 8
8 should be the maximum value of the inequaltiy
Answer:
your anwser is 8
Step-by-step explanation:
Triangle question find the value
Answer:
55°
Step-by-step explanation:
total angle of a triangle is 180°
we are given 2 angles
85+40+ x = 180
180-125 = 55° (x)
Tamika’s math test scores (out of 30) are 25, 28, 26, 25, 8, 29, 28, 24, 23.
a)What is the outlier in this set?
b) Why might Tamika’s teacher decide to remove this outlier when calculating the average for her report card?
c) Which average is affected more by the removal of the outlier, the mean or median? Justify your answer.
I WILL GIVE BRAINLIEST IF YOU ANSWER ALL THE 3 QUESTIONS GOOD.
Answers:
A.) 8 is the outlier in the set. It is the only number that doesn't match with the others. It is the furthest from the median of the numbers.
B.) The outlier could represent false information. It could greatly drop the number of the mean, or the average, range of the scores.
C.) The mean is affected more. The mean of a set of numbers is the average of the set. The median just locates the middle-most number. The median would not always give an accurate representation of the average of the set like the mean would.
AWARDING BRAINLIEST! Please help me.
Pythagorean Theorem
.
Answer:
40
Step-by-step explanation
100-60=40
Exponential Growth and Decay The expressions below represent either exponential growth or exponential decay. Check all the expressions that represent exponential decay. 5x 3(0.75)2t 35(2.4)x 5000(1.04)3t 0.05x 500(0.005)t
Answer:
First one: 5x3(0.75)2t
and fourth one: 0.05x500(0.005)t
Step-by-step explanation:
In order to have an exponencial decay, the rate of the exponencial function needs to be lesser than 1.
The rate is the value between parenthesis, so in the first equation, the rate is 0.75, so this is an exponencial decay.
The second equation has rate = 2.4, so this is not an exponencial decay.
The third equation has rate = 1.04, so this is not an exponencial decay.
The fourth equation has rate = 0.005, so this is an exponencial decay.
Answer:
It's A,C,F
Step-by-step explanation:
I answered it :) and got it right.
How do you tell if two samples have the same mean and MAD as each other WITHOUT CALCULATING. I’m attaching a pic.
Answer:
Look below.
Step-by-step explanation:
I mean I can tell because set B is literally just +20 from Set A
Which of the following is true of the values of x and y in the diagram below? A unit circle is shown. A radius with length 1 forms angle theta = StartFraction pi Over 4 EndFraction. The radius intersects point (x, y) on the unit circle. y < x y > x y + x = 1 StartFraction y Over x EndFraction = 1
Answer:
y/x = 1 got it right on edg
Step-by-step explanation:
Answer:
y/x = 1 on E2020
Step-by-step explanation:
Have a Great Day :)
You can drive 900 miles in 20 hours. At this rate, how long would it take to drive 135 miles?
Answer:
It would take 3 hours to travel 135 miles.
Step-by-step explanation:
[tex]\frac{900}{135} =\frac{20}{x}[/tex]
So, if you cross multiply 135 by 20 that equals 2,700
Next, 2,700 divided by 900= 3
It would take 3 hours to travel 135 miles.
5. Jack and Jill use rain gauges that are the same size and shape to measure rain on top of a hill. Jack
uses a rain gauge marked in fourths of an inch. Jill's gauge measures rain in eighths of an inch. On
Thursday, Jack's gauge measured inches of rain. Jill and Jack both had the same amount of water,
so what was the reading on Jill's gauge on Thursday? Draw a number line and write a sentence to
explain your thinking.
Answer:
List the multiples
1/4,2/4,3/4,4/4
1/8,2/8,3/8,4/8,5/8,6/8,7/8,8/8
1/4=2/8
2/4=4/8
4/4=8/8
Those numbers are the common fractions so they would be the only fractions that both Jack and Jill could get.
Step-by-step explanation:
Mr. Anderson has 4 recipes for granola. Which recipe has the greatest ratio of honey to oats?
Answer:
Recipe 3 has the greatest honey to oats ratio amongst the 4 recipes.
Step-by-step explanation:
Complete Question
Mr. Anderson has 4 recipes for granola. Recipe 1
A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 5, 10, 15. Column 2 is labeled Oats (cups) with entries 2, 4, 6.
Recipe 2
A 2-column table with 3 rows is titled Recipe 2. Column 1 is labeled Honey (tablespoons) with entries 6, 10, 14. Column 2 is labeled Oats (cups) with entries 3, 5, 7.
Recipe 3
A 2-column table with 3 rows is titled Recipe 3. Column 1 is labeled Honey (tablespoons) with entries 3, 6, 9. Column 2 is labeled Oats (cups) with entries 1, 2, 3.
Recipe 4
A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 8, 10, 12. Column 2 is labeled Oats (cups) with entries 4, 5, 6.
Which recipe has the greatest ratio of honey to oats?
Solution
Computing the ratio of honey to oats for each of recipes
Recipe 1
Honey | 5 | 10 | 15
Oats | 2 | 4 | 6
Honey to Oats ratio = (5/2) = (10/4) = (15/6) = 2.5 to 1.
Recipe 2
Honey | 6 | 10 | 14
Oats | 3 | 5 | 7
Honey to Oats ratio = (6/3) = (10/5) = (14/7) = 2 to 1.
Recipe 3
Honey | 3 | 6 | 9
Oats | 1 | 2 | 3
Honey to Oats ratio = (3/1) = (6/2) = (9/3) = 3 to 1.
Recipe 4
Honey | 8 | 10 | 12
Oats | 4 | 5 | 6
Honey to Oats ratio = (8/4) = (10/5) = (12/6) = 2 to 1.
Recipe 3 evidently has the greatest honey to oats ratio amongst the 4 recipes.
Hope this Helps!!!
Answer: Recipe 3
Step-by-step explanation:
Consider the following system.
y = 4x - 1
y = -3x + 6
Find the solution by using substitution.
HINT: Equal them to each other, solve for x. Then plug in x to one equation to find y.
Answer:
x=1 y=3
Step-by-step explanation:
y = 4x - 1
y = -3x + 6
Set the two equations to each other
4x - 1 = -3x + 6
Add 3x to each side
4x +3x - 1 = -3x+3x + 6
7x-1 =6
Add 1 to each side
7x-1+1 = 6+1
7x= 7
Divide each side by 7
7x/7 = 7/7
x=1
Now we can find y
y = 4x-1
y = 4(1)-1
y = 3
Use properties of operations to write two expressions that are equivalent
to 3/4n + (8 + 1/3z).
Answer:
(9z+96nz+4n)/12nz
Step-by-step explanation:
3/4n + 8+ 1/3z. distributive property
The required equivalent expression is [9z + 96nz + 4n] / 12nz and the property used is distributive property.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
= 3/4n + (8 + 1/3z)
Using the distributive property for the association,
= 3/4n + 8 / 1 + 1/3z
= [9z + 96nz + 4n] / 12nz
Thus, the required equivalent expression is [9z + 96nz + 4n] / 12nz, and the property used is the distributive property.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Convert 4.5 x 10
to a normal number
Step-by-step explanation:
4.5 × 10
= 45
this is the answer
Kelly bought 3 bracelets and 4 necklaces. She spent between $39 and $59. Each bracelet costs the same amount. Each necklace costs the same amount. The price of a bracelet is $5. How many dollars was the necklace?
Answer:
1 necklace will therefore cost 34/4 = $8.5
Step-by-step explanation:
She spent between $39 and $59. let us find the average of the amount she spent = 39+59 / 2 = $49.
At an average, she spent $49.
The price of a bracelet is $5 and each bracelet costs the same amount and she bought 3 bracelets = $5 x 3 bracelets each = $15... She spent $15 on the bracelets.
Thus $49 - $15 = amount spent on the 4 necklaces = $34.
4 necklaces cost $34, 1 necklace will therefore cost 34/4 = $8.5
Is the percent increase for 50 to 70 = to the percent decrease from 70 to 50
Answer:
no it is not equal.
Step-by-step explanation:
when you calculate the percentages, you will find that the increase has 40% while the decrease has about 28.6%
Answer:
No. The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.
Step-by-step explanation:
SAMPLE RESOND
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
4.1 feet
17.0 feet
20.6 feet
21.4 feet
Answer:20.6
Step-by-step explanation:
20.6
Answer:
C) 20.6
Step-by-step explanation:
just took the test
What is the area of rectangle with side lengths of 5/12 foot and 2/3 foot?
Answer:
The answer is 5/18
Step-by-step explanation:
The area of a rectangle with side lengths of 5/12 foot and 2/3 foot is 5/18 square feet and this can be determined by using the formula of the area of a rectangle.
Given :
Lengths of 5/12 foot and 2/3 foot.
The area of the rectangle is given by the formula:
A = W [tex]\times[/tex] L
where A represents the area of the rectangle, W represents the width of the rectangle, and L is the length of the rectangle.
So, the area of a rectangle with side lengths of 5/12 foot and 2/3 foot is given by:
[tex]\rm A = \dfrac{5}{12}\times \dfrac{2}{3}[/tex]
Further, simplify the above expression
[tex]\rm Area = \dfrac{10}{36}[/tex]
[tex]\rm Area = \dfrac{5}{18}[/tex]
The area of a rectangle with side lengths of 5/12 foot and 2/3 foot is 5/18 square feet.
For more information, refer to the link given below:
https://brainly.com/question/11952845
There are 16 pieces of fruit in a basket, including 2 nectarines. What is the
probability that a randomly selected piece of fruit will be a nectarine? answer it in simplest form
Answer:
1/8 or 12.5%
Step-by-step explanation:
2/16 are nectarines. If you randomly choose a fruit out of the basket, you have a 2/16 chance of picking out a nectarine, which can be simplified down to 1/8 or 12.5%.
Answer:
there is a 12.5 percent chance
Step-by-step explanation:
first you have to turn 2/16 in to a decimal. this is 0.125
then to turn in it into a percent you move the decimal over two spots to the right
pls help it will mean alot!!
due rn!!
Answer:
f(x) = 4^x
f(4) = 4^4 = 256
Hope this helps!
:)
the answer is 256 but i am not sure
hope this helps and be safe :)
A soda manufacturer knows that sales of soda increase during the summer. To make sure that they get a large portion of the sales, they decide to offer a contest throughout the spring. The contest is pretty simple: when you open your bottle of soda, if it says, “You win!” under the cap, you get another bottle of their soda for free. The chance of winning a free soda is 1 in 12. Lucky Lucy bought five sodas and won a free one with four of the caps. What’s the probability of that happening? Theoretically, how many sodas would you have to buy before having a greater than 50% chance of winning a free soda?
Answer:
a.) Probability = 1/5
b.) 10 soda
Step-by-step explanation:
Probability is a game of chance.
The initial chance = 1/12
If Lucky Lucy bought five sodas and won a free one with four of the caps. The probability of that happening will be 1/5
Having a greater than 50% chance of winning a free soda means having probability greater than half. That is,
Probability > 1/2
You would have to buy (12 - 2) soda. Which is equal to 10.
What amount to the nearest cent will an account have after 6 years is $175 is invested at 8% interest compounded continuously
Answer:
$281.02
Step-by-step explanation:
P=$175
r=8%=0.08
t=6 years
n=12
A=p(1+r/n)^nt
=175(1+0.08/12)^12×6
=175(1+0.0066)^72
=175(1.0066)^72
=175(1.6058)
=$281.015
Approximately $281.02
2х + 5y = 6
x+2y = -3
what is x?
Answer:
x = -3
In-Depth Steps:
1.) Start with the bottom equation: [tex]x+2y=-3[/tex]
2.) Set [tex]x[/tex] alone on one side of the equal sign. Your equation will look like [tex]3+2y=x[/tex].
3.) Plug [tex]3+2y[/tex] in for [tex]x[/tex] in the first equation. You will get [tex]2(3+2y)+5y=6[/tex].
4.) Distribute. Your equation now looks like this: [tex](6+4y)+5y=6[/tex].
5.) Combine like terms. You will get [tex]6+9y=6[/tex].
6.) Subtract 6 from both sides. You get [tex]9y=0[/tex]. We can learn that Y=0.
7.) Go back to either equation and put 0 in for y.
8.) In the top equation, it would look like [tex]2x=6[/tex] and the bottom equation would look like [tex]x=-3[/tex]. We basically got our answer of [tex]x = -3[/tex], but we will plug it into the [tex]2x=6[/tex] equation, and in-fact, we get x = -3.
how to find area of a rectangular shape
Answer:
You multiply the length and the width to get the area.
Step-by-step explanation: For example if the length was 5 and the width was four the answer would be 20 because 5x4=20
In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.
How long is DEDED, E?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
3\sqrt{2}3
2
3, square root of, 2, end square root
(Choice B)
B
3\sqrt 33
3
3, square root of, 3, end square root
(Choice C)
C
666
(Choice D)
D
6\sqrt 26
2
6, square root of, 2, end square root
(Choice E)
E
999
Report a problem
Do 5 problems
Answer: A or 3 sqrt 2
Step-by-step explanation:
Answer:
3 sqrt 2
Step-by-step explanation:
