Answer:
The recipe makes 1/2 cup of salad dressing assuming that the salt and herbs do not make a difference. Each serving has 1/12 of a cup. I am not gifted in the number sentence and equation department
Step-by-step explanation:
1/3=2/6
+
1/6=1/6
--------------
3/6=1/2
The recipe will make 1/2 cup of salad dressing. Each serving would have 1/12 cup of dressing.
Explanation:To find out how many cups of salad dressing the recipe will make, we can add the quantities of olive oil and balsamic vinegar. We have 1/3 cup of olive oil and 1/6 cup of balsamic vinegar, so the total is 1/3 + 1/6 = 1/2 cup. Therefore, the recipe will make 1/2 cup of salad dressing.
To determine how much dressing there would be in one serving, we divide the total quantity of dressing (1/2 cup) by the number of servings (6). This can be represented as the number sentence: 1/2 ÷ 6 = 1/12 cup per serving.
The length of a rectangle is 1 m more than twice the width, and the area of the rectangle is 45 m . Find the dimensions of the rectangle.
The length and width of the rectangle is 10 m and 4.5 m respectively.
Step-by-step explanation:
Given,
The length of a rectangle is 1 m more than twice the width.
Area of the rectangle = 45 sq m
To find the length and width of the rectangle.
Formula
If the length and width of a rectangle be l and b respectively, the area will be lb.
Let, the width (b) be = x and
Length (l) = 2x+1
According to the problem,
(2x+1)x = 45
or, [tex]2x^{2} +x = 45[/tex]
or, [tex]2x^{2}+x-45 = 0[/tex]
or, [tex]2x^{2}+(10-9)x-45 = 0[/tex]
or, [tex]2x^{2}+10x-9x-45 = 0[/tex]
or, 2x(x+5)-9(x+5) = 0
or, (2x-9)(x+5) =
Hence,
2x-9 = 0 and x+5 = 0
or, x = [tex]\frac{9}{2}[/tex] and x= -5
We will take x = [tex]\frac{9}{2}[/tex] as the value of length cannot be negative.
So,
Width = 4.5 m and Length = 2×4.5+1 = 10 m
The area of a rectangle is determined by the product of its length and width. In this rectangle, the width (W) is found to be 5 meters by solving the given equation. The length, being 1 meter more than twice the width, is 11 meters.
Explanation:To solve this problem, you can use the formula for the area of a rectangle, which is Area = length × width. You know from the problem that the area of the rectangle is 45 square meters, and the length (L) is 1 meter more than twice the width (W).
You can thus express the length in terms of the width: L = 2W + 1. Substituting this into the formula for the area gives you: 45 = W × (2W + 1).
Solving this equation involves expanding the right side: 45 = 2W² + W, arranging the equation to set the right side to zero: 2W² + W - 45 = 0
By factoring or using the quadratic equation, you find that the roots of the equation (the possible values for W) are 5 and -4.5. Since a negative width doesn't make sense in this context, you discard -4.5, and your width is thus 5 meters.
The length is then 2W + 1 = 2(5) + 1 = 11 meters. So, the dimensions of the rectangle are 5 meters by 11 meters.
Learn more about Rectangle Dimensions here:https://brainly.com/question/35474401
#SPJ11
A map has a scale 1 inches : 10 miles. Use the given map distance to find the actual distance
A.3 in
B.7.5 in
C.1ft
Answer:
A - 30 miles
B- 75 miles
C- 120 miles
Glad I could Help :)
Step-by-step explanation:
Simple solutions grade 7 answer key
The Simple Solutions Grade 7 answer key is a resource for middle school students to check their math work and learn from their mistakes.
Explanation:The Simple Solutions Grade 7 answer key is a resource that provides answers and explanations for the Simple Solutions Mathematics program for middle school students. It is designed to help students understand and practice the math concepts they are learning in class.
This answer key can be used by students to check their work, verify their answers, and learn from any mistakes they may have made.
Using the Simple Solutions answer key can also help students track their progress and identify areas where they may need additional practice or support.
Learn more about Simple Solutions Grade 7 answer key here:https://brainly.com/question/31351752
#SPJ11
What is the radius of a hemisphere with a volume of 60,750π cm3?
The radius of the hemisphere is 45 cm
Explanation:
Given:
Volume of the hemisphere, V = 60750π cm³
Radius of the hemisphere, r = ?
We know:
Volume of hemisphere = [tex]\frac{2\pi r^3 }{3}[/tex]
[tex]60750\pi = \frac{2\pi r^3 }{3} \\\\r^3 = 91125\\\\r = 45[/tex]
Therefore, the radius of the hemisphere is 45 cm
The radius of the hemisphere is 45 cm
The volume of a hemisphere is given by the formula
[tex]V = \frac{2}{3} \pi r^{3}[/tex]
Where V is the volume
and r is the radius
From the question,
V = 60750π cm³
Putting this into the formula,
We get
[tex]60750\pi = \frac{2}{3}\pi r^{3}[/tex]
∴ [tex]r^{3}= \frac{60750\pi \times 3}{2\pi}[/tex]
[tex]r^{3}= 91125[/tex]
∴ [tex]r =\sqrt[3]{91125}[/tex]
r = 45 cm
Hence, the radius of the hemisphere is 45 cm
Learn more here: https://brainly.com/question/1663922
1 meter = 10 decimeters = 100 centimeters 1 gallon = 4 quarts = 8 pints Question: Solve the following conversion problems: a) Convert 5 meters to centimeters. b) Convert 10 quarts to pints. c) Henry has 26 pints of , can he fill completely fill all four gallon milk jugs that he has? If not, how much does he still need?
Answer:
A) 5 meters to cm= 500cm
B) 10 quarts to pints= 20 pints
C) No, cause 26 pints is just 3.25 gallons so he would need 6 more pints to fill up four gallons of milk that is 36 pints makes four gallons
Step-by-step explanation:
Luke has 22 lots for sale. Each lot is 1.63 acres. How much land does Luke have for sale?
OA 37.49 acres
OB. 36.76 acres
OC. 35.86 acres
OD 38.06 acres
Answer: 35.86acres
Step-by-step explanation:
Luke has 22lots for sale
Each lot is 1.63acres
Since each lot is 1.63acres and there are 22lots
So Luke has
22×1.63acres
=35.86acres
Final answer:
Luke has 35.86 acres of land for sale, which is the product of multiplying 22 lots by 1.63 acres per lot.
Explanation:
To calculate the total amount of land Luke has for sale, multiply the number of lots by the acreage of each lot. There are 22 lots for sale, and each lot measures 1.63 acres. The calculation is as follows:
Total land = Number of lots * Acreage of each lot
Total land = 22 * 1.63
Total land = 35.86 acres
So, Luke has a total of 35.86 acres of land for sale, which corresponds to option OC.
57:23
The two-way table shows the ages of the players on different soccer teams.
Team A
4
Team D
3
8 Years Old
9 Years Old
| 10 Years Old
Total
Team B Team C
6
8
4
3
35
13
16
Total
21
23
14
58
Which statement is true?
The probability that a randomly selected player on Team A is 8 years old is 4
The probability that a randomly selected 8-year-old player is on Team C is 16
The probability that a randomly selected player on Team C is 10 years o
The probability that a randomly selected 10-year-old player is on Team Bi
Save and Exit
Mark this and return
Submit
Next
Answer: 5/16
Step-by-step explanation:
i just took the test
The answer is C. The probability that a randomly selected player on Team C is 10 years old is 5/16.
Good luck :)
[tex]6x^2 = 726[/tex]
Answer:
[tex]x=11\\[/tex]
Step-by-step explanation:
[tex]6x^2=726[/tex] First, you need to divide everything by 6.
[tex]x^2=121[/tex]Then you put everything in a radical to get this:
[tex]x=11[/tex]
Answer:
[tex]6 {x}^{2} = 726 \\ \frac{6 {x}^{2} }{6} = \frac{726}{6} \\ {x}^{2} = 121 \\ x = \sqrt{121} \\ x = 11[/tex]
HELP NEEDED !!! PLEASE
The external angles of a 12-gon add up to 360 degrees so each is 30 degrees. That makes the internal angle the supplement, PQR=150 degrees.
We have an isosceles triangle so the other two angles add to 30 degrees, so 15 degrees.
Answer: 15 degrees
Angle PRO in a regular 12-gon is half an interior angle, so it measures [tex]$\boxed{75^\circ}$[/tex].
The strategy is to first calculate the sum of the interior angles of the dodecagon, and then divide that number by 2 because any angle of a regular polygon can be found by subtracting [tex]$180^\circ$[/tex] from the quotient you get when you divide the sum of the interior angles by the number of angles.
Here's the solution:
The sum of the interior angles of a polygon is given by the formula [tex]$(n-2)\times180^\circ$[/tex], where n is the number of sides.In a dodecagon, there are n=12 sides.Therefore, the sum of the interior angles of the dodecagon is [tex]$(12-2)\times180^\circ = 1800^\circ$[/tex].Since each angle of a regular polygon is equal, all the interior angles of the dodecagon measure [tex]$\frac{1800^\circ}{12} = 150^\circ$[/tex]Since [tex]$\angle PRO$[/tex] is half of an interior angle of the dodecagon, it measures [tex]$\frac{1}{2}\times150^\circ = \boxed{75^\circ}$[/tex].2. y=-3x-6
Slope m=
y-intercept br
Use the net to find the surface area of the prism.
Answer:
Step-by-step explanation:
THE ANSWER IS 286 FT
JUST TOOK QUIZ ON GRADPOINT
Sydney completed 60% of the math problems assigned for homework. She
has 4 more problems to finish. How many math problems were assigned for
homework?*
Answer:
6
Step-by-step explanation
Total assignment =x
100%-60%=40%
Therefore
40%=4
40/4=10
60/10=6
6+4=10
Total assignment x=10.
The total number of math problems assigned for homework will be 10.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Sydney completed 60% of the math problems assigned for homework. She has 4 more problems to finish.
Then the number of total problems assigned is calculated as,
⇒ 4 / (1 - 0.60)
⇒ 4 / 0.40
⇒ 10
The total number of math problems assigned for homework will be 10.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ5
ILL GIVE YOU BRAINLIEST? Which number line has a point at -4 1/2?
Answer:
A
Step-by-step explanation:
the number line has a -4 and adds the 1/2
hope this helps!!!
brainliest plz :)
help help
please please
In triangle abc, AC=15 BC=11 and m
Answer: 10
Step-by-step explanation:
In a right angle triangle
Hypothenus ^2= opposite ^2+ adjacent ^2
According to a diagram below
Hypothenus =15
Opposite =?
Adjacent =11
Substitute for the values
15^2=11^2+opp^2
Opp^2=15^2-11^2
0pp^2= 225-121
Opp2=104
Opp= square root of 104
Opp= 10.2
Opp= ~10
what equation matches the table?
Answer:
C ; y =3x
Step-by-step explanation:
if you look at the function table
it goes like this
1 to 3
2 to 6
3 to 9
1*3=3
2*3=6
3*3=9
please thank me, rate, and mark brainliest if you like!
;)
Answer:
C
Step-by-step explanation:
The x values are multiplying themselves by 3 to get the y values
What is the definition of the word "mean?"
A
The average of a set of numbers.
B
The number that occurs most often in a set.
C
The difference between the greatest and the least values in a set.
D
The middle number of a set when arranged in value order.
Answer:
the average number of a set
Step-by-step explanation:
Solve for x: 3x - 4 = 23
Answer: x =
Answer:
x = 9
Step-by-step explanation:
3x - 4= 23
3x-4+4 + 23+4
3x + 27
3x/3 + 27/3
x+ 9
The solution of expression 3x - 4 = 23 is by combining the like terms with the help of operations such as addition, subtraction, etc would be,
x = 9
Given that,
The expression is,
3x - 4 = 23
Used the concept of expression by combining the like terms with the help of operations such as addition, subtraction, etc.
Here the expression is,
3x - 4 = 23
Add 4 on both sides,
3x - 4 + 4 = 23 + 4
3x = 27
Divide by 3 on both sides,
x = 27/3
Therefore, the solution is,
x = 9
To learn more about the equation visit:
brainly.com/question/28871326
#SPJ6
what is the answer pls
Given:
Surface area = 4,362 yards
Length = 36 yard
Width = 21 yard
Height = c
To find:
Volume of the rectangular prism.
Solution:
Surface area formula:
[tex]SA = 2(lw+wh+lh)[/tex]
Substitute the given values.
[tex]4362 = 2(36\times21 +21 \times c+36 \times c)[/tex]
[tex]4362 = 2(756+21 c+36 c)[/tex]
[tex]4362 = 2(756+57c)[/tex]
[tex]4362 = 1512+114c[/tex]
Subtract 1512 from both sides.
[tex]4362- 1512 = 1512+114c - 1512[/tex]
[tex]2850=114c[/tex]
Divide by 114 on both sides, we get
25 = c
Height = 25
Volume = length × breadth × height
= 36 × 21 × 25
= 18900
Volume of rectangular prism is 18900 cubic yards.
Simplify by combining like terms: -3 + 6x - 18 - 22x *
Answer:
-21 -16x
Step-by-step explanation:
-3 + 6x - 18 - 22x
Combine like terms
-3 -18 +6x -22x
-21 -16x
Answer:
-21-16x
Step-by-step explanation:
12. On Saturday, Mrs. Armour bought 7 pairs of socks for $3 each, and a
sweater for her dog for $12. Then she found a $5 bill on the sidewalk.
Over the course of Saturday, what was the change in the amount of
money Mrs. Armour had?
Answer:
This answer is -28
I have this problem on my school work this is what the correct answer is ;3
Solve the equations 7 = 4(c - 6)
Answer:
c=7.75
Step-by-step explanation:
First distribute the 4 on the right side
7=4(c-6)
7=4c-24
Add 24 on both sides
31=4c
Divide by 4 on both sides
c=7.75
Hope this helps!
Answer:
7.75 -= c
Step-by-step explanation:
Alright let's do this step by step!
7 = 4c - 24
add 24 to both sides :)
31 = 4c
divide by 4 (both sides)
c = 7.75
Thank me later :)
the area of a parallelogram can be found by multiplying the distance between two parallel sides by the length of either of those sides. explain why this formula works.
Celine flipped a coin 100 times. She flipped heads 41 times and tails 59 times. What is the experimental probability that the next flip will be heads?
A - 41/100
B - 1/2
C - 3/4
D - 59/100
Answer:
B - 1/2
Step-by-step explanation:
In this situation each experiment does not affect the probability of the next one. That is, each experiment is independent of the rest. Hence, independently of the result of the first 100 times the next probability in which Celine does the experiment, the propability will be 1/2.
B - 1/2
Answer:
B- 41/100
Step-by-step explanation:
Because this is an experimental (not theoretical) probability, which is the ratio of number of outcome as head over the total number of trial, the experimental probability of the next flipping be head would be the total number of heads that she'd gotten before over the total number of times that she'd try, which is 41 / 100
2n + 4n = 42
Answer: the value of n is .....
Answer:
7
Step-by-step explanation:
2n + 4n = 6n, adding like terms
6n = 42
6n/6 = 42/6
n = 7
Answer: 7
Step-by-step explanation:
4x7= 28 and 2x7=14
14+28= 42
Create a cylinder with a height of 8 cm and a radius of 4
cm. Make note of the volume.
Which could you do to increase the volume? Check all
that apply.
Double the height
Double the radius
Double the height but half the radius.
Double the radius but half the height.
Make the radius and height both 6 cm.
Answer: The volume is 128pi cm or 402.12 cm. To increase the volume you can double the height, double the radius, double the radius but half the height, and make the radius and height both 6 cm.
Step-by-step explanation:
To find the volume of the cylinder, use the equation [tex]\pi r^2h[/tex]. After plugging everything in, the equation is [tex]\pi (4^2)*8[/tex]. [tex]4^2[/tex]=16. 16*8=128. If you need a more accurate answer, multiply by pi to get 402.12 cm.
Doubling the height creates a volume of 256pi cm.
Doubling the radius creates a volume of 512pi cm.
Doubling the radius and halving the height creates a volume of 256pi cm.
Making both the radius and height 6 cm creates a volume of 216pi cm.
Answer:
1, 2, 4, 5
Step-by-step explanation:
your welcome.
identify the range of the function
Answer:
-2≥y≥4
Step-by-step explanation:
Since the y values go down to -2 and come up to 4 that is the answer
If a single 9-sided die is tossed once, find the probability of rolling a number greater than 7.
The probability of rolling a number greater than 7 is
(Simplify your answer.)
Answer:
[see explanation]
Step-by-step explanation:
There are 9 numbers on the dice. (One number for each side.)
Total Number of events: 9
There are 2 numbers that are greater than seven. (8 and 9)
Preferred number of events: 2
[tex]\frac{preferred}{total} =\frac{2}{9}[/tex]
[tex]\frac{2}{9}[/tex] is already at it's lowest terms.
The probability should be 2/9.
The probability of rolling a number greater than 7 on a 9-sided die is 2/9 or approximately 22.2%.
Explanation:In the language of probability, an event is any outcome or combination of outcomes. The probability of any event is normally calculated by dividing the number of ways that the event can occur by the total number of outcomes. In this problem, a die with 9 sides is rolled once, giving a total of 9 possible outcomes (the numbers 1 to 9). The event in question is rolling a number greater than 7, which consists of two outcomes: 8 and 9. So, the probability of this event is
Number of ways the event can occur / Total number of outcomes = 2 / 9 = 0.222 (to three decimal places), or approximately 22.2%.
Learn more about probability here:https://brainly.com/question/22962752
#SPJ11
[04/04, 13:08] Apostle ELIJAH Ben: *PROBLEM OF THE DAY*
Some birds were flying and met a bird on their way. The bird greeted them; hello hundred! They said we are not hundred, we need half of us plus you to make us hundred.
Question: How many birds were flying?
Possible answers
*A. 198*
*B. 49*
*C. 66*
*D. 51*
*E. 101*
what is the correct answer?
Answer:
66
Step-by-step explanation:
The statement can be translated to
x + x/2 + 1 = 100
Where x is the number of birds flying. Simplify this and get:
3/2 x = 99
x = 99 * 2/3 = 66
Kimani ordered party hats for his son's birthday party and
spent over $40. If he ordered the hats from Party Plus, write
an inequality to represent the possible number of hats he
ordered.
The inequality representing the possible number of party hats (x) Kimani ordered from Party Plus is x>20. This means Kimani ordered more than 20 party hats to spend over $40, given the assumed minimum cost per hat from Party Plus.
Let's denote the number of party hats Kimani ordered from Party Plus as x. Now, if each party hat costs a certain amount, and Kimani spent over $40, we can set up an inequality to represent this situation.
Let be the cost of each party hat. The total cost (T) is given by multiplying the number of hats (x) by the cost per hat (c). Therefore, T=xc.
The problem states that Kimani spent over $40, so we can express this as an inequality: T>40
Now, substitute the expression for T in terms of x and xc>40
Since we are specifically looking at the scenario where Kimani ordered the hats from Party Plus, let's assume that each hat costs at least $2 (as a hypothetical example). So, c≥2. Now, substitute
c≥2 into the inequality:
x⋅2>40
Simplify the inequality:
2x>40
Now, divide both sides by 2 to solve for x>20.