Answers
Answer:
[tex]a=7,\\b=3[/tex]
Step-by-step explanation:
The area of a rectangle is equal to [tex]A=l\cdot w[/tex], where [tex]l[/tex] is the length of the rectangle and [tex]w[/tex] is the width of the rectangle. In a rectangle, opposite sides are equal.
Therefore, we can write the following system of equations:
[tex]\begin{cases}a\cdot (9+b)=84,\\a\cdot b=21\end{cases}[/tex]
Expand the first equation:
[tex]9a+ab=84[/tex]
Substitute the second equation into the first ([tex]ab=21[/tex]):
[tex]9a+21=84,\\9a=63,\\a=\boxed{7}[/tex]
Solving for [tex]b[/tex]:
[tex]7b=21,\\b=\frac{21}{7}=\boxed{3}[/tex]
Answer:
Step-by-step explanation:
Hope this helps u!!
Related Questions
Question 2
Which of these expressions is equal to 4m + 8m?
Answers
Answer:
12 m
Step-by-step explanation:
Given the expression : 8m + 4m
The numbers 8m and 4m are bound by the addition operator.
When using the addition operator, the Coefficient are are the values added for like terms.
Since both values given can be like terms based on 'm', the Coefficient of m in each vlaue is added ;
Hence, we have ;
8m + 4m = 12m
Sergio is buying plums at $1.60
per pound. He buys at least 1
pound. The weight of each plum
is a quarter of a pound. Sergio
states he can buy a number of
plums that cost exactly $3.80.
Complete Parts A and B to show
Sergio's statement is false.
PLEASE HELP QUICKLY NO LINKSS!
Answers
Answer:
Sergio's statement is false
Step-by-step explanation:
Cost of one pound of plum = 1.60
Total quantity of plum bought = 1
Weight of each plum = 1/4 pound
If he buys plum of $ 3.80 at the rate of $1.60 per pound, he purchases 2.375 pounds of plum
Weight of one plum = 1/4 pound, thus total number of plum purchased = 9.5
Since 0.5 pound of plum means half plum which is not possible to buy
Hence Sergio's statement is false
A rectangular farm has an area of 1.04 square kilometers. The length of the farm is 0.8 kilometer. What is the width, in kilometers, of the farm.
A) 13.0
B) 10.5
C) 1.3
D) 1.05
Answers
Answer:
[tex]\text{C. }1.3[/tex]
Step-by-step explanation:
The area of a rectangle with width [tex]w[/tex] and length [tex]l[/tex] is given by [tex]A=lw[/tex].
What we're given:
[tex]A[/tex] of 1.04[tex]l[/tex] of 0.8Substituting given values, we get:
[tex]1.04=0.8w,\\w=\frac{1.04}{0.8}=\boxed{\text{C. }1.3}[/tex]
Giving brainly help find Find m∠H.
Answers
13X +24 = 180
13X = 180-24
13x = 156
X = 156/13
X= 12
Now replacing the value of 12 in 5X +26
5* 12 + 26 = 60 + 26 = 86
Mark brainliest please!
The required measure of the angle m∠H is given as 94°.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
For trapezoid, the sum of the adjacent angle is 180°
m∠H + m∠G = 180
5x + 26 + 8x - 2 = 180
x = 12
Now,
m∠H = 8x - 2
= 8 (12) - 2
= 94°
Thus, the required measure of the angle m∠H is given as 94°.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ2
Help please!
What is the probability of picking a purple marble and spinning green? 2 Answer: Write the answer as a simplified fraction.
Answers
Answer:
3/28
Step-by-step explanation:
1/7 times 6/8
What is the mean, outlier & mean without outlier for 4; 4; 5; 6; 8; 9; 27
Answers
Answer:
the mean is 9.
Step-by-step explanation:
mean=4+4+5+6+8+9+277
= 63 7 9 is the answer.Can someone help me identify what quadrilateral is this?
Answers
Answer:
Its C
Step-by-step explanation:
Help pleasee! I need to get this right.
Answers
Answer:
You got it! B. x ≤ -7 or x ≥ 2
Step-by-step explanation:
In inequalities, a filled dot means "also including," so the value at which the filled dot is placed is also included in the inequality (hence the "or equal to"). In this case, both red dots (at -7 and 2) are filled, so both values are included in the inequality.
The red portions are part of the inequality. Looking at the arrow going from -7 and pointing to the left, we can tell that that value and the ones smaller than -7* are included, so it would be x ≤ -7.
Looking at the arrow pointing from 2 to the right, it includes 2 and all the numbers to the right of it, so the inequality would be x ≥ 2.
So, the final answer is B. x ≤ -7 or x ≥ 2.
*the value of negative numbers decreases as the numbers themselves increase (-5 is larger than - 36, for example).
what is the least number of apples that can be shared equally among either 6, 10 or 15 children?
A. 24
B. 30
C. 60
D. 90
Answers
Which store has the best buy on king-size candy bars?
Answers
What is 56 divided by 0.7
Answers
Answer:
56 ÷ 0.7 is 80
0.7 ÷ 56 is 0.0125
56/0.7= 80
Find y.
Round to the nearest tenth:
29°
500 ft
у
X
y = [? ]ft
Y’all please help :,,,)
Answers
Answer:
Step-by-step explanation:
sin A = [tex]\frac{opposite side}{Hypotenuse}[/tex]
Sin 29 = [tex]\frac{y}{500}[/tex]
0.4848 * 500 = y
y = 242.4 ft
Answer:
Y=242.4
Step-by-step explanation:
due to the association property the angle at the bottom left is 29 degrees
since sine property is oposite over hypothesis we get
sine(29)=y/500
500sin(29)=y
Y=242.4
Find the length of CD
Answers
Explanation: Use the side-splitter theorem and solve.
1) (3/x)=(4.5/(x+6)), cross multiply and solve for x
2) 6x+36=9x
3) x=12
4) Solve for CD
5) (12)+6=18
Helpppppppp meeeee please ASAP
Answers
Answer:
(9, 13, 22)
Step-by-step explanation:
We can use the triangle inequality theorem to help us solve this problem. We know that the two shortest sides of a traingle added up (their sum) needs to always be greater than the longest side of the triangle. Taking that information, we can figure out that 9+13=22. 22=22, not 22>22. This means that is the right answer, hopefully that helps!
Write the following number by entering one digit in each box of the place value chart.
Answers
Answer:
The number itself is 508.231
Step-by-step explanation:
Any multiplying each of the numbers, we will have the specific places
Hundreds
5 * 100 = 500
Tenths
0 * 10 = 0
ones
8 * 1 = 8
Tenths = 2 * 1/10 = 2/10 = 1/5 = 0.2
Hundredths = 3/100 = 0.03
Thousandths = 1/1000 = 0.001
So we simply sum all these to get the number itself as follows
500 + 8 + 0.2 + 0.03 + 0.001 = 508.231
If land is valued at $2400 per acre (1 acre is 43560 square feet), what is the value of the parcel of land?
Answers
Answer:
below
Step-by-step explanation:
the solution is
$2,400 * 43,560
=$104,544,000
The pattern 0, 15, 30, 45, ________, follows the "add 15" rule. Use words to describe the rule and write the next term.
pls writ abt 1-2 sentences asap :(((
Answers
Answer: The pattern uses the rule "Add 15", adding 15 per term. Making the next term, 60.
For the following right triangle find the side length x round your answer to the nearest hundredth
Answers
Answer:
x ≈ 12.96
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 11² = 17²
x² + 121 = 289 ( subtract 121 from both sides )
x² = 168 ( take the square root of both sides )
x = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )
A tiny area on a computer chip measures 2.3*10^-3 mm by 1.7*10^-4 mm. About how many times longer is the longer dimension than the shorter dimension? A. 1.35 B. 6 C. 7.4 D. 13.5
Answers
Tony is building a new silo to store corn as animal feed. It will be a cylinder topped with a half-sphere, and must store 21 000 t of corn. The entire silo can be filled with corn. Tony wants to minimize the surface area of the silo to reduce materials and paint costs. He has the following information:
• 1 cubic m of corn has a mass of 700 kg.
• Building costs are $8/m2, taxes included.
• Paint comes in 3.8 L cans.
Each can covers 40 sq m and costs $35,
taxes included.
• Corn costs $140 per tonne ($140/t), taxes
included.
What is the total cost to build, paint, and fill a silo with the least surface area?
Answers
Answer:
all i know is that the answer is
above 2,400
Step-by-step explanation:
When -3x + 6 − 3x − 24 + 2y is simplified, the result is
Answers
Answer:
- 6x - 18 + 2y
Step-by-step explanation:
- 3x + 6 - 3x - 24 + 2y
- 6x + 6 - 24 + 2y
- 6x - 18 + 2y
Answer:
-6x -18 + 2y
Step-by-step explanation:
1. Collect like terms:
-3x + -3x = -6x
-24 + 6 = -18
2. Rewrite expression:
-6x -18 +2y
Hope this helps, good luck! :D
the graph below have the same shape.
what is the equation of the blue graph?
Help me please
Answers
The answer is D.
the blue parabola is 1 y value up from red. So you have a +1. It is 4 values to the right of red, but when x is in the format of (x + a) ^2, then the sign of operation is opposite of the action in graph. So positive means subtracting and negative means adding. So you put in x - 4
solve for x y=7x+5
y = 9x+4
Answers
Answer:
x = 1/2
Step-by-step explanation:
y = 7x+5
y = 9x+4
7x+5 = 9x+4
1=2x
x = 1/2 = 0.5
Answer:
1. [tex]x = - \frac{5}{7} [/tex]
2. [tex] x = - \frac{4}{9} [/tex]
Step-by-step explanation:
[tex]y = 7x + 5 \\ 0 = 7x + 5 \\ - 7x = 5[/tex]
[tex]\boxed{Answer:{\boxed{\green{x = - \frac{5}{7}}}}} [/tex]
[tex]y = 9x + 4 \\ 0 = 9 x + 4 \\ - 9x = 4[/tex]
[tex] \boxed{Answer:{\boxed{\green{x = - \frac{4}{9} }}}}[/tex]
Miguel is working at the county fair. On Friday, he works at the concession stand. On Saturday, he works at the balloon dart booth. At the concession stand, Miguel sells 7 soft pretzels for every 2 candied apples. How much profit will the concession stand make if it sells 161 soft pretzels? Explain.
Answers
Answer:
$362.25
Step-by-step explanation:
Profit made per product :
Soft pretzel = $5.25 - $3.50 = $1.75
Candied apple = $3.50 - $1.75 = $1.75
For every 2 candied apple sold, 7 soft pretzel is sold :
If 161 sold pretzel is sold, the number of candied apple sold will be :
(161 / 7) * 2
23 *. 2 = 46 candied apple was sold
Profit made on product sold :
Soft pretzel = $1.75 * 161 = $281.75
Candied apple = $1.75 * 46 = $80.5
$(80.5 + 281.75) = $362.25
Can someone please help asap thank you
Answers
Answer:
7%
Step-by-step explanation:
.07x1 is .07, therefore tax rate
please give brainliest im desperate
find the volume of a triangular prism
Answers
Answer:
96 cu.ft must be the answer to the question..
Answer:
I think 96 cu.ft is the answer
help! f(x)=x^2 what is g(x)
Answers
Answer:
A. g(x) = (¼x)²
Step-by-step explanation:
___________
George has a spinner with three equal sections colored orange, blue, and white. He spins the spinner 100 times. What is the experimental probability of landing on the orange section?
Answers
Answer:
1/3
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Experimental probability is based on the result of an experiment that has been carried out multiples times
probability of landing on the orange section = proportion of the orange section / total proportions of all the colours
= 1/3
Tell whether the angle is complimentary, supplementary or neither
Answers
The circumference of a circle is approximately 39.25 mm. What is the length of the diameter?
Answers
Answer:
12.5 millimeters (mm).Step-by-step explanation:
Explain/define:
CIRCUMFERENCE: THE DISTANCE AROUND A CIRCLE.
DIAMETER: THE LENGTH OF A STRAIGHT LINE THROUGH THE CENTER OF A CIRCLE.
Mathematics: Formula
[tex]d=c/3.14[/tex]
[tex]d-diameter[/tex]
[tex]c-circumference[/tex]
Mathematics: Solve
To find the length of the diameter from the circumference, divide the circumference by pi. The quotient is the diameter.
3.14 is often used for pi.
[tex]39.25/3.14=12.5.[/tex]
Conclude:
Therefore, the length of the diameter of the circle is 12.5 millimeters (mm).