Answer:
x= 71, y= 19.
Step-by-step explanation:
To solve this, we will need to set up an algebraic equation. Since y is the smaller number, we can think of x in terms of y:
x= 3y+14
We can substitute this in the equation to get:
90= y+3y+14.
Simplifying this will give us:
76= 4y.
When solved, we get the value of y (the smaller number) to be 19.
To solve for x, we must plug this into the equation giving us:
x= 3(19)+14
x= 71.
Answer: x+y=90;x=14+3y
71, 19
Step-by-step explanation:
How do you write 13/20 as a decimal? ( Hint: Find the factor that will make the denominator 100 and multiply that factor to the given numerator and change it to decimal form.)
Answer:
0.65
Step-by-step explanation:
To get 13/20 to a decimal, the denominator needs to be multiplied by 5 to make it 100. If you multiply the denominator, you also have the multiply the numerator to make it equal. 13 x 5 is 65. The fraction is 65/100, which is 0.65 in decimal form.
13/20 as a decimal is 0.65.
To write 13/20 as a decimal, you can follow the hint provided.
First, we need to find a factor that will make the denominator 100. In this case, multiplying the denominator by 5 will give us 100.
So, we need to multiply both the numerator and the denominator of 13/20 by 5:
13/20 x 5/5 = 65/100
Now, we have 65/100 as the fraction.
To convert it to decimal form, divide the numerator by the denominator:
65 ÷ 100 = 0.65
Therefore, 13/20 as a decimal is 0.65.
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A group of neighbors is holding an end of summer block party. They buy p packs of hot dogs, with 8 hot dogs in each pack. All together, they have 56 hot dogs for the party. Write an equation to describe this situation. How many packs of hot dogs did the neighbors buy?
Answer:
56 divided by 8 would equal or just 56/8=
Step-by-step explanation:
If you want to find how many packs there are, it would be 56 divided by 8 would equal p.
what is the inverse of y = 3 Superscript x
Answer:
x=3
Step-by-step explanation:
mark me brainliest
Answer:
the answer on edge 2021 is b) y=log3x
Step-by-step explanation:
Class 10R sat a test The mean mark for the class was 70% there are 30 students in class 10R, 20 of whom are boys the mean mark for the boys in the test was 62% work out the mean marks for the girls
Answer:
86
Step-by-step explanation:
Given that there are 30 students in class 10R and the mean marks for the entire class was 70%. Therefore, total mark of class = 70 x 30 = 2100
Given that there are 20 boys in the class and the mean marks for the boys was 62 %. Therefore, total mark of boys = 62 x 20 = 1240
To calculate the mean mark for the girls we need to find the total number of girl and total mark of girls. total number of girl = 30 - 20 (boys) = 10 total mark of girls = total mark of class - total mark of boys = 2100 - 1240 = 860 mean mark for girls = 860 / 10 = 86
An Archaeologist in Turkey discovers a spear head that contains 79% of its original amount of C-14. Find the age of the spear head to the nearest year.
Answer:
The age of the spear head is of 1938 yers.
Step-by-step explanation:
The amount of carbon 14 after years is given by the following equation:
[tex]Q(t) = Q(0)e^{-rt}[/tex]
In which Q(0) is the initial amount and r is the decay rate.
The half life of carbon 14 is 5700 years.
This means that [tex]Q(5700) = 0.5Q(0)[/tex]
So
[tex]Q(t) = Q(0)e^{-rt}[/tex]
[tex]0.5Q(0) = Q(0)e^{-5700r}[/tex]
[tex]e^{-5700r} = 0.5[/tex]
[tex]\ln{e^{-5700r}} = \ln{0.5}[/tex]
[tex]-5700r = \ln{0.5}[/tex]
[tex]5700r = -\ln{0.5}[/tex]
[tex]r = -\frac{\ln{0.5}}{5700}[/tex]
[tex]r = 0.00012160476[/tex]
So
[tex]Q(t) = Q(0)e^{-0.00012160476t}[/tex]
We have to find:
t for which Q(t) = 0.79Q(0). So
[tex]Q(t) = Q(0)e^{-0.00012160476t}[/tex]
[tex]0.79Q(0) = Q(0)e^{-0.00012160476t}[/tex]
[tex]e^{-0.00012160476t} = 0.79[/tex]
[tex]\ln{e^{-0.00012160476t}} = \ln{0.79}[/tex]
[tex]-0.00012160476t = \ln{0.79}[/tex]
[tex]0.00012160476t = -\ln{0.79}[/tex]
[tex]t = \frac{-\ln{0.79}}{0.00012160476}[/tex]
[tex]t = 1938.43[/tex]
Rounding to the nearest year.
The age of the spear head is of 1938 yers.
Answer:
The actual answer is 2357
based only on the information given in the diagram it is guaranteed that rst uvw
Answer:
i need to see the problem
Step-by-step explanation:
Can you post the diagram?
select the equation of a line that is parallel to the line 4y=3x+5
Answer: y=3/4x+5/4
Step-by-step explanation: First you simplify, so you divide 4 by everything and you get y=3/4x+5/4
Answer:
4y=3x-1
y=3/4x-5/4
Step-by-step explanation:
If a line is parallel to another, the gradient remains the same. So (if you have multiple choice answers), you can rule out the ones without a gradient of 3.
From there, you can either draw or visualise the y-intercept. Do this until you have found the line which is parallel to 4y=3x+1. Hope that made sense :)
write a quadratic function f whose zeros are 10 and 2
Answer:
f(x) = x^2 - 12x + 20
Step-by-step explanation:
If 10 and 2 are zeros, then (x - 10) and (x - 2) are factors of the quadratic.
Multiplying these factors together, we get
f(x) = x^2 - 12x + 20
The quadratic function with zeros at 10 and 2 is f(x) = (x - 10)(x - 2) which simplifies to f(x) = x² - 12x + 20.
Explanation:Given that the zeros of a quadratic function are 10 and 2, we can write the function as f(x) = a(x - 10)(x - 2). Here, a is a non-zero coefficient. For simplicity, we can choose a as 1. This gives us the function as f(x) = (x - 10)(x - 2).
Expanding this gives us: f(x) = x² - 12x + 20.
This function represents a quadratic equation that zeros at x = 10 and x = 2. Such a function can be represented on a graph with f(x) and x as axes. The roots, 10 and 2, will be the x-coordinates at which the graph intersects the x-axis.
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is 3.31 rational or irrational ?
Answer:
3.31 Should be irrational. If it can be made into a fraction than its rational if not then it would be known as irrational.
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During a figure skating routine, Jackie and Peter skate apart with and angle of 15 degrees between them. Jackie skates for 5 meters, and Peter skates for 7. How far apart are the skaters?
Answer:
The skaters are 2.5 feet apart
Step-by-step explanation:
Firstly, please check attachment for diagrammatic representation.
To calculate the distance apart, this is same as the length PJ
To calculate this length, we can use the cosine rule as follows;
O^2 = P^2 + J^2 -2(P)(J)Cos 15
O^2 = 7^2 + 5^2 -2(7)(5)Cos 15
O^2 = 49 + 25 - 70Cos15
O^2 = 74 - 67.61
O^2 = 6.39
O = √6.39
O = 2.53
O = 2.5 feet to the nearest tenth of a foot
The distance between the skaters is 2.5m
Data;
Jackie (a) = 5mPeter (b) = 7mangle = 15 degreesdistance apart = cCosine RuleTo solve this problem we can use cosine rule for this since we have the value of two sides and an angle.
[tex]c^2 = a^2 + b^2 -2ab cos C[/tex]
Let's substitute the values into the formula
[tex]c^2 = 5^2 + 7^2 - 2*5*7*cos15\\c^2 = 25 + 49 - 67.61\\c^2 = 6.39\\c = \sqrt{6.39} \\c = 2.5m[/tex]
The distance between the skaters is 2.5m
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A building casts a shadow in the shape of a right triangle with a base 18 feet wide and a height of 20 feet. What is the total area of
the shadow?
38 square feet
90 square feet
180 square feet
360 square feet
Answer:
180 sq ft
Step-by-step explanation:
1/2 x 18 x 20 = 180
Answer:
a: 180 square feet
Step-by-step explanation:
Jimena draws a figure with two pairs of parallel opposite sides. The four sides are not all the same length, and the figure has no right angles. Which two figures could she have drawn?
Answer:
Parallelogram
Step-by-step explanation:
we will solve question using hints given in question
given
There two pairs of parallel opposite sides
1. since there are two pairs of it means there 4 sides so the figure is quadrilateral
there are six possible types of quadrilateral possible
rectangle, square, rhombus, parallelogram, kite or any irregular quadrilateral which has not any standard defined shape
2 . It is given that opposite sides are parallel
there are four such quadrilateral which have opposite side parallel
rectangle, square, rhombus, parallelogram
Thus these are possible figures
3. Four sides are not all the same length
Since square and rhombus have all the sides of same length thus we omit these probable figure
hence probable figure left are
rectangle, parallelogram
4. figure has no right angles
since rectangle has right angle so it will also be omitted from the probable figure
Hence only probable figure left is parallelogram.
Parallelogram is a quadrilateral with two two pairs of parallel opposite sides
and satisfying the above condition of
1. The four sides of not the same length
2. no right angles
How many ways can the letters in the word D-I-N-O-S-A-U-R be arranged?
The letters in the word D-I-N-O-S-A-U-R can be arranged in 40,320 ways.
Explanation:To find the number of ways the letters in the word D-I-N-O-S-A-U-R can be arranged, we can use the concept of permutations.
The word D-I-N-O-S-A-U-R contains 8 different letters. To find the number of arrangements, we can use the formula for calculating permutations of n objects taken all at a time, which is n!. In this case, n is equal to 8, so the number of arrangements is 8!.
However, there are some repeated letters in the word D-I-N-O-S-A-U-R.
The letter 'A' is repeated twice. To account for the repetition, we divide the total number of arrangements by the factorial of the number of times each repeated letter occurs.
In this case, 'A' appears twice, so we divide by 2!. So the final answer is 8! / 2!.
Simplifying the expression, we have 8! / 2! = 40,320.
Mean of 7.2,8.5,7.0,8.1,6.7
Answer:
7.5
Step-by-step explanation:
7.2 + 8.5 + 7.0 + 8.1 + 6.7 = 37.5
37.5÷5 = 7.5
Answer:
7.5
Step-by-step explanation:
The mean is 7.5
Alice bought a 2-foot sub sandwich.The sandwich was cut into 10 pieces. Beth ate 1/5 of the sandwich , Camila ate 3/10 of the sandwich, and Alice ate two pieces which girl ate the most pieces
Answer:
Camila
Step-by-step explanation:
you take 1/5 and make it 2/10. Then you see that there are 10 slices and since Beth and Camila ate in 10th's, Beth at 2 slices and Camila ate 3. So since Alice ate 2 slices its less than Camila. Therefore, Camila ate the most slices.
A jar contains 4 red marbles, 3 green marbles, and 2 blue marbles. If a marble is drawn at random, what is the probability that it is not green?
Answer:
6/9
Step-by-step explanation:
The probability of drawing a marble that is not green from a jar with 4 red, 3 green, and 2 blue marbles is 2/3 or 66.67%.
To find the probability of drawing a non-green marble from a jar containing red, green, and blue marbles, calculate the ratio of non-green marbles to the total marbles
Calculate the total number of marbles: 4 (red) + 3 (green) + 2 (blue) = 9 marbles in total.
The probability of drawing a non-green marble = [tex]\frac{(4~ red ~marbles + 2 ~blue ~marbles) }{9~ total ~marbles.}\\\frac{6}{9}[/tex]
Therefore, the probability of drawing a non-green marble is 6/9 or 2/3 (or approximately 0.67).
The length of a rectangle is 5m longer than the width. If the perimeter of the rectangle is 58 m, find its length and width
Answer:
L = 17 m W = 12 m
Step-by-step explanation:
Here is the answer.
The width of the rectangle is 12 meters, and the length is 17 meters, obtained by setting up equations based on the perimeter and the given relationship between length and width.
To find the length and width of the rectangle, we need to set up equations based on the given information. The question states that the length is 5m longer than the width, and the perimeter is 58m. Let's denote the width as w and the length as l. According to the problem, l = w + 5m.
The formula for the perimeter P of a rectangle is P = 2l + 2w. We can substitute the expression for the length into this formula:
P = 2(w + 5m) + 2w
Since we know the perimeter is 58m:
58m = 2(w + 5m) + 2w
58m = 2w + 10m + 2w
58m = 4w + 10m
48m = 4w
w = 12m
Now we can find the length:
l = w + 5m
l = 12m + 5m
l = 17m
The width of the rectangle is 12 meters and the length is 17 meters.
Simplify (2x^2 + x + 4)+(-3+7x + 8x^2)
i know how to im just lazy
Answer:
10 x^2 + 8 x + 1
Step-by-step explanation:
Simplify the following:
8 x^2 + 2 x^2 + 7 x + x - 3 + 4
Grouping like terms, 8 x^2 + 2 x^2 + 7 x + x - 3 + 4 = (2 x^2 + 8 x^2) + (x + 7 x) + (4 - 3):
(2 x^2 + 8 x^2) + (x + 7 x) + (4 - 3)
2 x^2 + 8 x^2 = 10 x^2:
10 x^2 + (x + 7 x) + (4 - 3)
x + 7 x = 8 x:
10 x^2 + 8 x + (4 - 3)
4 - 3 = 1:
Answer: 10 x^2 + 8 x + 1
Answer:
[tex]10 {x}^{2} + 8x + 1[/tex]
Step-by-step explanation:
[tex]2 {x}^{2} + x + 4 -3 + 7x + 8 {x}^{2} \\ = 2 {x}^{2} + 8 {x}^{2} + x + 7x + 4 - 3 \\ = 10 {x}^{2} + 8x + 1[/tex]
A graph that displays a collection of ordered pairs is called a ___.
Answer:
scatter plot. i believe.
Step-by-step explanation:
Final answer:
A graph that displays a collection of ordered pairs is known as a scatter plot, which shows the relationship between two variables using a Cartesian coordinate system.
Explanation:
A graph that displays a collection of ordered pairs is called a scatter plot. A scatter plot, also known as a scatter diagram, uses Cartesian coordinates to display values for two variables. It is a pictorial representation of the relationships of quantitative data, presenting individual points where the value of one variable determines the position on the horizontal axis (x-axis), and the value of the other variable determines the position on the vertical axis (y-axis). The pattern of these points on the graph helps to visualize any correlation between the variables being analyzed.
What is the y-intercept of the line given by the equation y= 3x + 4?
Answer:
the y intercept is 4
Step-by-step explanation:
the 4 is where the line starts so it would be (0,4)
First, notice that this equation is written in slope-intercept form which is more commonly known as y = mx + b form where the multiplier, m, or the coefficient of the ex term represents the slope of the line and the b or the constant term represents the y-intercept of the line.
I have attached slope-intercept form below.
Notice that below, the b is in place of the 4 in the equation.
So the y-intercept or the b is 4.
Find the volume of a pyramid with a square base, where the side length of the base is 6.6\text{ in}6.6 in and the height of the pyramid is 7.7\text{ in}7.7 in. Round your answer to the nearest tenth of a cubic inch.
The correct answer is:
The volume of the pyramid is approximately 111.5 cubic inches, rounded to the nearest tenth of a cubic inch.
To find the volume of a pyramid, we can use the formula:
[tex]\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]
Given:
- Side length of the square base = 6.6 inches
- Height of the pyramid = 7.7 inches
First, let's find the area of the square base:
[tex]\[ \text{Area of square base} = \text{Side length}^2 \]\[ = 6.6^2 \]\[ = 43.56 \text{ square inches} \][/tex]
Now, substitute the values into the formula for the volume of a pyramid:
[tex]\[ \text{Volume} = \frac{1}{3} \times 43.56 \times 7.7 \]\[ \text{Volume} = \frac{1}{3} \times 334.632 \]\[ \text{Volume} = 111.544 \text{ cubic inches} \][/tex]
Rounding to the nearest tenth, the volume of the pyramid is approximately [tex]\( \boxed{111.5} \)[/tex] cubic inches.
The volume of the square-based pyramid is calculated using the formula for the volume of a pyramid, resulting in approximately 111.8 cubic inches after rounding to the nearest tenth.
The volume of a pyramid with a square base is calculated using the formula V = (1/3) x base area x height. First, calculate the base area, which is the side length squared. In this case, the base area is:
6.6 in x 6.6 in = 43.56 in²
Then, multiply the base area by the height and divide by 3 to find the volume:
V = (1/3) x 43.56 in² x 7.7 in
= 43.56 in² x 2.566 in
= 111.804 in³, which rounds to 111.8 in³ to the nearest tenth.
Therefore, the volume of the square-based pyramid is 111.8 in³.
Ariana has 2/3 quart of milk. She uses 3/4 of it in a recipe. How much milk did Ariana use in her recipe?
Answer:
the answer is 1/12
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
I NEED HELP!!!!!!!
A student needed to find the measure of angle b. HeHe incorrectly said m angle b equals 132 degreesm∠b=132°. Find the correct measure of angle b. What mistake did hehe likely make
Answer:
Y = -3 Times X - 1
Step-by-step explanation:
y = mx + c
Here, m is the slope & c is the y-intercept
y = -3x - 1
Slope = -3
y intercept = -1
Answer:
The answer is 42
Step-by-step explanation:
and what he most likely did was
He subtracted 48 from 180 instead of 90.
YOUR WELCOME
1 Pete owed each of his three sisters $10. Which statement accurately represents how much Pete owes in total?
Answer:
$30 in total.
Step-by-step explanation:
Since he owes 3 people 10 dollars each, you simply need to multiply:
10×3= $30 dollars in total.
PLEASE HELP!!!
Nichole bought 500 shares of a company's stock for $8.24/share. she pays a broker a commission for $20 to buy and sell stock. after one year she sold all of her shares which were worth $10.10/share at that time..
what was her rate of return?
A. 22.6%
B. 21.5%
C. 16.8%
D. 16.1%
The Answer is B 21.5%
Step-by-step explanation:
what is 2/3 divided by 1/12
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry
juice. If 3/4 of the drink is apple juice and 1/10 is orange juice then write the ratio of
cranberry juice to apple juice to orange juice in its simplest form.
Answer:
6/40 = cranberry juice, 30/40 = apple juice , 4/40 = orange juice
if you want to simplify these you can also write them as :
3/20 = cran. juice , 3/4 = apple juice, 1/10 = orange juice.
Answer:
3:15:2
Step-by-step explanation:
Geometry: BTS 2019; Chapter 4; Section 4.5; Exercises 1 - 57; Question 4
Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.
I can't get the image but the original is 9 and the new is 24
Answer:
it is an enlargement ( I know) and the scale factor is 2.6 (I think. I can't do it without the image)
Step-by-step explanation:
Answer:
C The dilation is a reduction.
Step-by-step explanation:
Which statement about these rectangles is true?
A rectangle pre-image has a length of 4 and width of 2. A rectangle image has a length of 4 (1.5) and width of 2 (1.5).
Whoever answers 18 get brainliest and 10 points!!! U have to find the area
Answer:
Brainliest
Step-by-step explanation:
A = 4.5
Area of triangle = Base(height)1/2
(3)(3)1/2 = 4.5
Answer:
4.5
Step-by-step explanation:
base(height)(1/2) = 3 x 3 x 1/2 = 4.5
Hal says the volume of the sphere shown below is 36 cm3. Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal’s likely error?
This question is incomplete because the diagram of the sphere was not shown. Find attached to this answer the diagram for the sphere.
Answer:
a) The correct volume of the sphere = 113cm³
b) b) Hal's likely error was that
i) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)
ii) In addition to using the wrong formula, Hal did not use π in his calculation.
Step-by-step explanation:
a) The Volume of a Sphere = 4/3πr³
From the attached diagram, the radius of the sphere was given as = 3cm
π = 3.14
The volume of the sphere = 4/3 × 3.14 × 3³
= 113.04 cm³
We were told to round up to the nearest hundredth. Therefore, correct the volume of the sphere = 113cm³.
b) Hal's likely error was that
i) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)
ii) In addition to using the wrong formula, Hal did not use π in his calculation.
This means:
Surface Area of a Sphere = 4πr²
But Hal's used = 4r²
Where r = 3cm = 4 × (3cm)² = 36