Answers
Answer:
x = 6 cm
Step-by-step explanation:
We can write equations for length and width using the information given:
length = 2 + x
width = 2x - 5
Area = (length)(width) = 56
Area = (2 + x)(2x - 5) = 4x - 10 + 2x² - 5x
Simplifying:
Area = 2x² - x - 10 = 56
2x² - x - 66 = 0
Factoring:
(2x + 11)(x - 6) = 0
x = 6, -11/2
We choose the positive number: x = 6 cm
To check, plug in 6 for x:
Area = (2 + x)(2x - 5) = 56
(2 + 6)(12 - 5) = 56
(8 × 7) = 56
56 = 56
Related Questions
Evaluate the expression.
31÷1
Answers
Answer:
Step-by-step explanation:
31 is the answer
The Coffee Spot recently served 42 peach scones and 42 other pastries. Considering this data, how many of the next 34 pastries served should you expect to be peach scones?
Answers
Answer:
17
Step-by-step explanation:
17 is half of 34 therefore it is 17
i’m not to sure what to do here.. can someone help? this assignment is 20 points!
Answers
Answer:
1. -1
2. 3
3. (2, 5)
Step-by-step explanation:
y axis is |
x axis is _
A intersects the y axis at -1
B intersects the y axis at 3
A and B intersect at (2, 5) because the x value is 2 because it goes right twice and the y value is 5 because it goes up 5 and theres the point of intersection
y-intercept of line a: -1
y-intercept of line b: 3
The intersection is the point where the two lines cross: (2,5)
I gotta find out the height?
Answers
Answer: 143.089 or 143.1
well, the smaller triangle is a miniature replica of the big triangle, so you have to find the scale between both triangles bases by doing 122/1.62=75.31 and then use that number to multiply by the height of the smaller triangle giving you the height of the bigger triangle so 75.31*1.9=143.089 or 143.1
Step-by-step explanation:
mistah... clean
ANYONE GOOD AT MATH!!!! HELP WITH 3 QUESTIONS
Answers
Answer:
1.) a. 1/8 b. 7/8 c. 4/8 d. 3/8 2.) a. 8/40 b. 18/40 c. 14/40 d. 0.05 (5%) 3.) a. 60/400 b. 138/400 c. 26/400 d. 12 e. 100 pages goes with 4 different colors as does 150 and 200 page notebooks, this means 4+4+4=12 and that's the number of different possible combinations
Step-by-step explanation:
What is the x-intercept of x^2-4x
Answers
Answer:
x int: (4,0)
Step-by-step explanation:
make y=0
x^2-4x=0 add 4 to both sides
x^2=4x divide by x
x=4
pls help! evaluate the sine of the real number, pls give exact answers
Answers
Answer:
[tex]-\frac{\sqrt2}{2} \\[/tex] or exact is −0.70710678...
Step-by-step explanation:
Getting the point!
If we look at the unit circle and we find [tex]-\frac{3\pi }{4}[/tex] we see it is in the 3rd quadrant. We know that all points in the 3rd quadrant have both negative x and negative y values. We know that all radians with the base of 4 on the unit circle have the points of [tex](\frac{\sqrt{2}}{2} ,\frac{\sqrt{2}}{2})[/tex] Because we are in the 3rd quadrant and both x and y are negative we know the point of [tex]-\frac{3\pi }{4}[/tex] is [tex](-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2})[/tex]Finding the sin!
Because we know that sin is asking us for the y valueWe can just look at the point and find the y value! the y value is [tex]-\frac{\sqrt2}{2} \\[/tex]Because this fraction does not need to be rationalized we are good!Use a calculator to find the exact value and you get -0.70710678...The final answer is [tex]-\frac{\sqrt2}{2} \\[/tex] or exact is −0.70710678...Hope this helps!! Please mark Brainliest!
Rewrite the following equation in slope-intercept form.
11x + y = –13
Answers
Answer:
y = -11x - 13
Step-by-step explanation:
Step 1: Subtract 11x from both sides.
[tex]11x+y-11x=-13-11x[/tex] [tex]y=-11x-13[/tex]Therefore, the answer is y = -11x - 13.
Given an arithmetic progression 230, 226, 222, ... determine the smallest value of
n such that the nth term is smaller than 40. Hence, determine the nth term.
[3 marks]
Answers
Answer:
Step-by-step explanation:
226-230= (-4)
226-(-4)
=226+4
=230
tn= -4n+234
A Clock had a radius of 5 inches. Find the distance the minute hand tracked from 2 to 6
Answers
Answer:
9
Step-by-step explanation:
they are not in the middle so it has to be 9-8 i feel like its 9
hope this helps!
The distance minute hand tracked from 2 to 6 is 5.23 inches.
What is the measure of each integer step in a clock?A clock can be thought of as a circle having 12 steps and we know that circle is 360°,
So, the measure of each integer step of a clock is 30°or π/12 rad.
We know the circumference of a circle is 2πr.
From 2 to 6 the minute hand rotated (4×30°) = 120° = 2π/3 rad.
We know arc length(S) = r×Ф.
∴ The distance minute hand tracked is = (2.5)×(2π)/3 inches.
= 5.23 inches.
learn more about clock problems here :
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Sarah is selling water bottles at a football game for $2.25 each . She spent $36.75 to purchase the water bottles, ice, and cooler. If she wants to make at least $180 after expenses, what is the fewest number of water bottles she must sell?
D. 117 97 B. 80 A. 64
Please help I to know how to solve it but I know The answer is 97B.
Answers
Answer:
need to sell 97 bottles of water
Step-by-step explanation:
36.75 + 180 = 2.25x
216.75 = 2.25x
divide both sides by 2.25
x = 96.33333
Classify the triangle with the given side lengths: 6, 9, and 10
Answers
Answer:
obtuse trianle
Step-by-step explanation:
triangle:
10² = 9² + 6²100 = 81 + 36100 > 117This type of triangle is an obtuse triangle
A ball bearing has mass 0.44 pounds. 1 kg = 2.2 pounds.
Answers
Answer:
(i) 0.2 kg
(ii) kg/cm³
(b) 2.29 kg
Step-by-step explanation:
This problem gives you relations between units, and the formulas for density and mass. It is asking you to make use of these relations in various mass and density calculations.
(a)(i)The relationship between kg and pounds can be used to write a units conversion multiplier. It will have numerator equal to denominator, but will have units such that multiplying by it will give the units you want.
0.44 pounds × multiplier = __ kg
0.44 pounds × (1 kg)/(2.2 pounds) = (0.44/2.2)(1 kg)
0.44 pounds = 0.2 kg
__
(a)(ii)The formula can be used to find the units of interest:
Density = mass/volume
units of density = (units of mass)/(units of volume)
units of density = kg/cm³
__
(b)Using the given formula with the given value of L, we find the volume to be ...
V = 4(1.40 cm)(3 -1.40 cm)² = 14.336 cm³
Then the mass is ...
mass = volume × density
mass = (14.336 cm³)×(0.160 kg)/(1 cm³) = 2.29376 kg
The mass is about 2.29 kg.
_____
Additional comment
Often you will see density in terms of kg/m³ or g/cm³. Water has a density of about 1 g/cm³ or 1000 kg/m³. The most dense non-radioactive element in the periodic table is osmium, with a density of about 22.6 g/cm³, or 0.0226 kg/cm³. The material in part (b) of this problem has a density about 7 times that, so is clearly not from Earth.
-6<2x+8<16 compound inequality
Answers
Answer:
- 7 < x < 4
Step-by-step explanation:
- 6 < 2x + 8 < 16 ( subtract 8 from each interval )
- 14 < 2x < 8 ( divide each interval by 2 )
- 7 < x < 8
Anna ate 5/8 of an orange and gave the other 3/8 to her brother. Which equation can be used to find the difference between the amount Anna ate and the amount she gave her brother?
Answers
Answer:
B
Step-by-step explanation:
First of all the equation is subtracttion since they used to word *difference* which indicates subtract. To find the different between how much Anna at and how much she gave her brother we would subtract 5/8 by 3/8.
to solve this equation ( 5/8 - 3/8 ) the denominator of both fractions have yo be the same and that is true for this equation. Then you would subtract the numerators and keep the denominator the same. So the answer is 2/8
geometry problem ????? thank you
Answers
Hope this helps!
In a scale drawing, a model of a dog house is 3 cm long by 5 cm tall. The dog house is actually 4 feet tall. What is the actual length of
the dog house?
Answers
Answer:
3.75 feetStep-by-step explanation:
If 5 cm on the model = 4 feet in real
Then, what does 1 cm on the model = in real?
5/4=1.25
So, 1 cm on the model = 1.25 ft
Now, what does 3cm long in the model = to in real?
1.25x3=3.75
So hence, the length of the Dog house is actually 3.75 feet.
Thanks!
Mark me brainliest!
Dilate ABC below using A as the center and a
scale factor of 2. Leave all construction marks?
Answers
Explanation:
Use your straightedge to extend segment AB into ray AB. This means you'll have it start at A and go on forever through B. Repeat these steps to turn segment AC into ray AC.
The two rays join at the vertex angle A. Point A is the center of the universe so to speak because it's the center of dilation. We consider it an invariant point that doesn't move. Everything else will move. In this case, everything will move twice as much compared to as before.
Use your compass to measure the width of AB. We don't need the actual number. We just need the compass to be as wide from A to B. Keep your compass at this width and move the non-pencil part to point B. Then mark a small arc along ray AB. What we've just done is constructed a congruent copy of segment AB. In other words, we've just double AB into AB'. This means the arc marking places point B' as the diagram indicates.
The same set of steps will have us construct point C' as well. AC doubles to AC'
Once we determine the locations of B' and C', we can then form triangle A'B'C' which is an enlarged copy of triangle ABC. Each side of the larger triangle has side lengths twice as long.
Note: Points A and A' occupy the same exact location. As mentioned earlier, point A doesn't move.
Andrea bought tacos from a food truck and left a 25\%%, percent tip of \$2. 00$2. 00dollar sign, 2, point, 00. What was the price of Andrea's tacos, before tip?.
Answers
The price of Andrea's tacos is four times of tip be 2 dollars which is 8 dollars.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Andrea bought tacos from a food truck and left a 25 %, 25 percent tip of $2.
The tip is 2 dollars for 25 %. Then the tip will be x for 100 %.
[tex]\rm \dfrac{x}{100} = \dfrac{2}{25}\\\\x \ \ \ \ = 8[/tex]
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
Find the area and perimeter of the trapezoid. See picture for full problem. Please and thank you so very much!
Answers
Answer:
The area of the trapezoid is 22.5 square miles.
The perimeter of the trapezoid is 22.5 miles.
Step-by-step explanation:
Recall that the area of a trapezoid is given by:
[tex]\displaystyle A = \frac{1}{2}(b_1+b_2)h[/tex]
Where b₁ and b₂ are the two parallel bases and h is the vertical height between them.
The two bases are 5.5 mi and 3.5 mi and the vertical height between them is 5 mi. Hence, the area of the trapezoid is:
[tex]\displaystyle \begin{aligned} A & = \frac{1}{2}(5.5+3.5)(5) \\ \\ & = \frac{1}{2}(9)(5) \\ \\ & = \frac{45}{2} \\ \\ &= 22.5\text{ mi}^2\end{aligned}[/tex]
The perimeter of the trapezoid is simply the sum its four sides. Hence:
[tex]\displaystyle \begin{aligned} P & = (5.5) + (6) + (7.5) + (3.5) \\ \\ & = 22.5\text{ mi} \end{aligned}[/tex]
Therefore, the area and perimeter of the trapezoid is 22.5 square miles and 22.5 miles, respectively.
Mia needs 2 1/4 cups of fruit to make one serving of a
smoothie. How much fruit should she use if she is
making 5 servings?
Answers
Answer:
11.25 cups or simplified 11 1/4 cups
Step-by-step explanation:
you do 2 1/4 times 5
Answer:
[tex]11\frac{1}{4}[/tex]
Step-by-step explanation:
Given the following question:
[tex]2\frac{1}{4} \times5[/tex]
Each serving takes 2 1/4 cups of fruit...
How much to make 5 servings?
To find the answer we will have to multiply 2 1/4 by 5, since we are trying to find out how much it would take to make 5 smoothies.
[tex]2\frac{1}{4} \times5[/tex]
[tex]2\frac{1}{4} =4\times2=8+1=9=\frac{9}{4}[/tex]
[tex]\frac{9}{4} \times5[/tex]
[tex]5=\frac{5}{1}[/tex]
[tex]\frac{9}{4} \times\frac{5}{1}[/tex]
[tex]9\times5=45[/tex]
[tex]4\times1=4[/tex]
[tex]=\frac{45}{4}[/tex]
Convert into mixed number:
[tex]\frac{45}{4}[/tex]
[tex]=\frac{45}{4}=45\div4=11\frac{1}{4}[/tex]
[tex]=11\frac{1}{4}[/tex]
Which means in order to make 5 servings of the smoothie, we need "11 1/4 cups" of fruit.
Hope this helps.
What is 15 inches increased by 20%? Helps please
Answers
Answer:
18 in. would be the correct answer.
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
15 + Percentage increase =
15 + (20% × 15) =
15 + 20% × 15 =
(1 + 20%) × 15 =
(100% + 20%) × 15 =
120% × 15 =
120 ÷ 100 × 15 =
120 × 15 ÷ 100 =
1,800 ÷ 100 = 18
hope this helped :)
The perimeter of a rectangle is 116. The length is 18 more than 3 times the width. Fine the dimensions
Answers
Answer:
L = length, W = width and P = perimeter
L = 3W + 18
Perimeter = 116 = 2(L + W) , i.e. L + W = 58
Now substitute
3W + 18 + W = 58
4W = 40
W = 10
L = 48
Step-by-step explanation:
If the perimeter of a rectangle is 116. The length is 18 more than 3 times the width. The length and width of the rectangle will be 48 and 10 units.
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that, the perimeter of a rectangle is 116. The length is 18 more than 3 times the width. Fine the dimensions
L = length, W = width and P = perimeter
L = 3W + 18 -------- (1)
Perimeter = 116
Perimeter = 2(L + W)
L + W = 58
Put the value in equation 1,
3W + 18 + W = 58
4W = 40
W = 10
L = 48
Thus, if the perimeter of a rectangle is 116. The length is 18 more than 3 times the width. The length and width of the rectangle will be 48 and 10 units.
Learn more about the rectangle here:
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pls helppp
You have 2 bags, bag 1 had 5 green marbles, 6 red marbles, 7 pink
marbles and 3 yellow marbles. bag 2 had 6 green marbles 2 red marbles 3 pink marbles and 8 yellow marbles if you pull one from each what is the probability of getting a pink marble from each bag?
Answers
Answer:
The answer is 4/10
Step-by-step explanation:
If you add all marbles in both bags it equals 40. There are 10 pink marbles in both so 40 / 10 is 4 and the denominator would be 10. 4/10
Answer:
The odds of getting a pink marble from the 1st bag are 7/21, .333 repeating, or approximately 33%.
The odds of getting a pink marble from the 2nd bag are 3/19, .158, or approximately 16%
Step-by-step explanation:
There are a total of 21 marbles in the first bag, and only 7 pink marbles. This means that when you reach into the bag, your odds are 7 out of 21 to select a pink marble. When divided, this can be changed to a percent or decimal.
There are a total of 19 marbles in the second bag, and only 3 pink marbles. When you reach into this bag, your odds are 3 out of 19 to select a pink marble. You can also divide this to become a percent or decimal.
Probability is often calculated in fraction or decimal form. If I flip a coin the odds of getting tails are 50% percent because there are only two possible outcomes, and tails is one of them. This gives you the fraction 1/2 (one-half), which is 50% when reduced.
Charlie's puppy, Max, weighs 3 pounds.
How many ounces does Max weigh?
Answers
Answer:
48 ounces
Step-by-step explanation:
1 pound = 16 ounces
3x16=48
Hope this helps :)
Answer:
48
Step-by-step explanation:
If I'm wrong let me know, but I'm pretty sure it's 48 ounces
Which of the following inequalities matches the graph? (2 points)
Answers
Answer:
A
Step-by-step explanation:
Find the boundary line and shade the area related.
A bus traveled 320 km in 4 hours. Find the average speed in km/h. *
Answers
Answer:
80km/h
Step-by-step explanation:
speed = rise/run = distance/hours
speed = 320km/4 hours
speed = 80km/h
30 POINTS HELP IM LITERALLY SO DUM
The sum of Joy's age and her brother's age is 24. Her brother's age is 3 years older than twice Joy's age. What is the difference, in years, between Joy's age and her brother's age?
A. 4
B. 6
C. 10
D. 18
Answers
Answer:
b. 6
Step-by-step explanation:
I'm not 100% sure if this is the answer but here was my thinking process:
1/4 of 24 is 6, and 6 + 3 is 9, so the brothers age is probably 9, and then 24-9 is 15, and the difference between 15 and 9 is 6. Once again I don't know if this is right or not, but either way I hope this helps!
PLease answer quick!
ms. levine had 32 dry-erase markers seven of them were blue and the rest were black. what percent of the markers were black?
Answers
Answer: 78% of the markers are black
Step-by-step explanation:
1. Subtract the total of markers by the amount that are blue.
a. 32-7 = 25
2. Divide the amount of black markers by the total of markers
b. 25/32 = 0.78125
3. Make this number a percentage
c. 0.78125 x 100 = 78%
PLEASE HELP ME!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
you could subtract and divid