Answer:
B) Infinitely many solutions.
Step-by-step explanation:
-x + 4y = 24
4y = x + 24
y = 1/4x + 6
It is the same equation twice.
jenelle is planting a circular vegetable garden with a fence around the border. If she can use up to 50 feet of fence, what is the largest whole number radius she can use for the garden?
The Length of the fence in the example doubles as the perimeter of the circular garden. Hence the largest whole number of the radius is 8 feet
Mensuration of Plain Shapes (Circle)Given Data
Length of Fence = 50 feet
Largest Whole number Radius = ??
In this exercise, the Length of the fence is the same as the perimeter of the circular vegetable garden.
We know that the expression for the perimeter of a circle is given as
Perimeter of Circle = 2πr
From here we can solve for the Radius r
50 = 2*3.142*r
50 = 6.284r
divide both sides by 6.284
r = 50/6.284
r = 7.956 feet
r = 8 feet
Learn more about circle here:
https://brainly.com/question/24375372
joelle spent 1 1/2 hours studying for her science test. Rileigh studied for 3/4 of Joelle’s time. What fraction of an hour did Rileigh spend studying?
give a Model:
Check answer with multiplication:
NO LINKS
Answer:
1¹/₈ hours
Joelle spent 1¹/₂ hours reading and Rileigh spent 3/4 of that time.
To find out how much time Rileigh spent, multiply the fractions but first convert the improper fraction to a proper fraction:
= 1¹/₂ = 3/2
= 3/2 * 3/4
= 9/8
= 1¹/₈ hours
Step-by-step explanation:
Which numbers are factors of 12? Check all that apply
2
5
6
12
24
Answer:
2 6 12
Step-by-step explanation:
there are the only factor of 12 there
[tex] \frac{5}{3} + \frac{4}{6} = [/tex]
.................
Answer:
[tex]\frac{7}{3} =2\frac{1}{3}[/tex]
Step-by-step explanation:
For the problem:
[tex]\frac{5}{3} +\frac{4}{6} = ?[/tex]
The Least Common Multiple (LCM) of 3 and 6 is 6. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:
[tex]\frac{5}{3} +\frac{4}{6} =\frac{5*2}{3*2} +\frac{4}{6} =\frac{10}{6} +\frac{4}{6}[/tex]
Now that the fractions have like denominators, add the numerators:
[tex]\frac{10}{6} +\frac{4}{6} =\frac{10+4}{6} =\frac{14}{6}[/tex]
The Greatest Common Factor (GCF) of 14 and 6 is 2. The result can be simplified by dividing both the numerator and denominator by 2.
[tex]\frac{14}{6} =\frac{14/2}{6/2} =\frac{7}{3}[/tex]
7 ÷ 3 = 2R1, therefore:
[tex]\frac{7}{3} =2\frac{1}{3}[/tex]
Your cellphone company charges a $18 monthly fee, plus $0.11 per minute of talk time. One month your cell phone bill was $70.80. How many minutes did you spend talking on the phone that month?
Answer:
480 minutes would be the answer
Step-by-step explanation:
Answer:
480 minutes
Step-by-step explanation:
We can write this relationship as [tex]y=0.11x+18[/tex] and then solve for x when y=70.80:
[tex]y=0.11x+18\\\\70.80=0.11x+18\\\\52.80=0.11x\\\\480=x[/tex]
Therefore, you spent 480 minutes talking.
How much longer is a 1-inch button than 3/8- inch button?
Answer:
5/8 inch longer
Step-by-step explanation:
3x-17=-41. answer for x pls
Answer: x = -8
Step-by-step explanation:
Move all terms that don't contain x to the right side and then solve
Use given triangle to fill in the blank.
Answer:
5 over 13
Step-by-step explanation:
adjacent over hypotenuse use trigo rules
(Toa Cah Soh)
Answer: 12/13
Step-by-step explanation:
4. Lucy is k years old. She has a sister who is three years younger than she is and
another sister who is five years less than twice Lucy's age. Write an expression, in
simplified form, for the sum of the three girls' ages.
Answer:
4k - 8
Step-by-step explanation:
Lucy is k years old so we know k is an important part of this problem.
Sister 1 is 3 years younger, so she is k - 3 years old.
Sister 2 is 5 years less than twice Lucy's age therefore, she is 2k (twice Lucy's age) - 5 years old.
Now we have: k + (k - 3) + (2k - 5)
We can simplify like terms with the k's and get 4k. then we add (-3) and (-5) to get 4k - 8.
Hope this helps!
Simplify 5^2 • 5^4
O A. 5^8
O B. 5^6
O C. 5•8
O D. 5^2
Answer:
Option B
Step-by-step explanation:
Given the following question:
[tex]5^2\times5^4[/tex]
In order to find the answer, we simply apply the exponent rule and add the exponents.
[tex]5^2\times5^4[/tex]
[tex]2+4=6[/tex]
[tex]=5^6[/tex]
The answer is option B or "5^6."
Hope this helps.
Can someone please explain this to me?
Answer:
62°
Step-by-step explanation:
Angle KPO = 90°. If you add angles KPN and NPO together, you will get 90°. Set up an equation and solve for x.
2x + x - 3 = 90
3x - 3 = 90
3x - 3 + 3 = 90 + 3
3x = 93
3x/3 = 93/3
x = 31
Now solve for the measure of KPN by substituting 31 for x.
KPN = 2x
KPN = 2(31)
KPN = 62°
Answer:
D 62
Step-by-step explanation:
Good luck
Huilan is 5 years older than Thomas. The sum of their ages is 67. What is Thomas's age?
Answer:
31
Step-by-step explanation:
hope this helps
Help please I am stuck
Answer:
Prime numbers:
11, 61, 43, and 29.
Step-by-step explanation:
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
For example:
13 has only two factors, itself and 1. So, it is a prime number.
4 has three factors, itself, 1, and 2. So, it is not a prime number.
Your other answers are correct.
Hope this helped!
10 points!
An artist has been hired to paint a mural of a sailboat on the side of a building. The original sailboat is 32 feet in length and has a mast height of 40 feet. The
artist will create the mural using a scale factor of 4:3 to relate the original dimensions to mural dimensions.
How tall will the mast of the sailboat be in the mural?
_____ ft?
Answer:
30 feet
Step-by-step explanation:
A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,
original mast height = 40 feet
4 * x = original mast height = 40 feet
divide both sides by 4 to get x
x = 10 feet
3 * x = mural mast height = 3 * 10 feet = 30 feet
what are the names of these polygons
Answer:
1. This is a Quadrilateral.
(There're 4 sides)
2. This is a Pentagon.
(There're 5 sides)
The first polygon is a quadrilateral.
The second polygon is a pentagon.
Polygons:Polygons are flat or plane, two-dimensional closed shape with straight sides.
Polygons are classified base on the number of side they possess. For example polygon with 4 sides are called quadrilaterals, the ones with 8 sides are referred to as octagons.
Therefore, the polygons above have 4 sides and 5 sides respectively.
The polygon with 4 sides is know as a quadrilateral.
The polygon with 5 sides is known as a pentagon
learn more on polygons here: https://brainly.com/question/7921826
marco bought a 64 ounce bag of popcorn. he ate 5% of the bag with his lunch. How much popcorn did he eat at lunch?
Answer:
3.2 ouncesStep-by-step explanation:
Divide 5 percent by One Hundred,
5/100 = 0.05
Multiply 0.05 by 64
0.05x64= 3.2
Evaluate.
five over four with 3 as an exponont plz give a fration
Answer:
[tex] \frac{25}{16} \: \: or \: \: 1\frac{9}{16} [/tex]
Step-by-step explanation:
[tex]( \frac{5}{4} )^{3} = \frac{ {5}^{3} }{ {4}^{3} } = \frac{5 \times 5 \times 5}{4 \times 4 \times 4} = \frac{5 \times 25}{20 \times 4} = \frac{25}{4 \times 4} = \frac{25}{16} = 1 \frac{9}{16} [/tex]
A triangle having sides 12cm, 8cm, 8cm, is
Answer:
isosceles triangle
Step-by-step explanation:
An isosceles triangle has 2 congruent sides
The triangle described here has 2 congruent sides of 8 cm
The triangle is isosceles
Answer:
if 2x-1 is a factor of the polynomial f(x)= 8^3 +4^2+kx+15 where is a constant find the value of k and factorise f(x) completely when k has this value
a b
36 9
72 18
80 20
Find the constant of proportionality from a to b. Express
your answer as a fraction in reduced terms.
What is the constant of proportionality in this proportional relationship? PLS I WILL MAKE U BRAINLELIST
Answer:
The constant of proportionality is [tex]k=\frac{7}{9}[/tex]
Step-by-step explanation:
Recall that the equation for direct variation is [tex]y=kx[/tex] where [tex]y[/tex] varies directly with [tex]x[/tex] and [tex]k[/tex] is the constant of proportionality.
Here, [tex]k=\frac{7}{9}[/tex] since [tex]2(\frac{7}{9})=\frac{14}{9}=1\frac{5}{9}[/tex], [tex]3(\frac{7}{9})=\frac{21}{9}=2\frac{3}{9}[/tex], and so on.
What is the slope of the graphed line
Answer:
3/9 or 1/3 is the slope
Step-by-step explanation:
yeah
Complete the following item. 5 < x <
16 8 11
9x + 8 y = -6
-9x - 9y - 9
Elimination
Answer:
x = 2, y = -3
Step-by-step explanation:
Add them together and get
9x + 8y - 9x - 9y = -6 + 9
-y = 3
so y = -3.
Sub it into the first equation and get
9x + 8(-3) = -6
9x - 24 = -6
9x = -6 + 24 = 18
x = 18/9 = 2
what is 6 20/97 as a improper fraction?
Answer:
120/97
Step-by-step explanation:
When you're turning a mixed fraction into an improper fraction, you keep the denominator (bottem number) the same, but you times the numerator (top number) by the whole number (non-fraction number/left number)
6 * 20 = 120
Therefore it should be 120/97
This can not be simplified though (if I recall)
HELP!! Please answer 9 and ten with solution needed!!
Answer:
m=7 z=-12
Step-by-step explanation:
expand brackets:
8m+24=5m+45
Change sides:
8m-5m=45-24
3m=21
m=7
z-6 = 3
2z 4
Coss multiply:
4z-24=6z
4z-6z=24
-2z=24
Divide both sides by -2:
z=-12
Using postulates and/or Theorems learned in unit 1, determine weather ABC ~ AXY. show all your work and explain why the triangles are similar and why they are not.
Answer:
AX / AB = 6/18 = 1/3
AY / AC = 10/25 = 2/5
They are not similar because the two ratios is not the same.
Step-by-step explanation:
I'm not really sure okay!
Note that [tex]\frac{AX}{AB}=\frac{6}{24} =\frac{1}{4} ,and\frac{AY}{AC}=\frac{10}{35}=\frac{2}{7}.[/tex]
Because the ratio of the lengths of corresponding sides of the triangles are not equal, the triangles are not similar.
-------------------------------------
Answer by: Medunno13
https://brainly.com/question/26646936
please help the answer is in the screenshot
Answer:
Their angles are equal and the sides are the same ratio
Step-by-step explanation:
Hope this helps (doesn't need much explanation)
i need help don't understand tell the answer and explain
For every $3.00 donated to a certain charity by Club A, $1.25 was donated by Club B. If the combined total amount donated to the charity by both clubs was $25,500.00, how much did Club A donate?
Answer:
D, $18,000.00
Step-by-step explanation:
Club A
$3 x is donated where x is the number of donations
Club B
$1.25x is donated where x is the number of donations
The total of donations is 25500.00
Add the donations times the dollar amount for Club A and Club B and you get the total amount donated
$3x +$1.25x = 25500.00
Combine like terms
4.25x = 25500.00
Divide by 4.25 on each side
4.25/4.25x = 25500.00/4.25
x =6000
There were 6000 donations
We want to find Club A donation amount
$3 x is the amount donated
3*6000 = 18000
Answer:
that guys smart
Step-by-step explanation:
Pls help me on this question look at the image.
Answer:
(b) 16 ft²
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h . . . . . where b1, b2 are the base lengths, h is the height
Using the values shown on the diagram, we find the area to be ...
A = 1/2(3 ft + 5 ft)(4 ft) = (1/2)(8 ft)(4 ft) = 16 ft²
The area of the trapezoid is 16 ft².