Given :
Sugar required for 2 1/2 = 5/2 dozen of cookies is 1 1/4 = 5/4 cups.
To Find :
How many cups of sugar does she need to make the cookies for her party.
Solution :
Let, cups of sugar required to make cookies for her party is x.
So,
[tex]x = \dfrac{\dfrac{5}{4}}{\dfrac{5}{2}}\\\\\\x = \dfrac{1}{2}[/tex]
Therefore, 1/2 cup of cookies is required to make 1 dozen cookies.
Hence, this is the required solution.
Answer: 25/8
Step-by-step explanation:
We would first turn 2 1/2 and 1 1/4 into an improper fraction.
That leaves us with 5/2 and 5/4.
Then, because she needs to make 5/2 dozen cookies and needs 5/4 cups of sugar for every batch, we would multiply 5/2 and 5/4 together.
Therefore x, or the amount of sugar she needs, is 25/8
plz help I'll give brainest
Answer:
B
Step-by-step explanation:
absolute value is 2½
hope it helped
Triangle PQR is similar to Triangle XYZ. PQ=3 and XY=6. If the perimeter of Triangle XYZ is 20, what is the perimeter of Triangle PQR?
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
scale factor = [tex]\frac{PQ}{XY}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
That is the sides of Δ PQR are half those of Δ XYZ, thus
The perimeter of Δ PQR is half Δ XYZ, that is
perimeter of Δ PQR = [tex]\frac{1}{2}[/tex] × 20 = 10
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AJKL= AQRS?
Check all that apply.
O A. HL
B. SAS
O C. LL
O D. HA
D E. LA
F. SSS
Answer: HL, SAS, LL, SSS
Step-by-step explanation:
its that easy
ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.
Options A, B, C, and F are the correct answer.
What is triangle congruency?
There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
LL congruency
Two triangles are said to be congruent under LL congruence if they have two pairs of corresponding sides that are equal in length and the included angles between these pairs of sides are also equal.
HL congruency
If two right triangles have the same hypotenuse and one corresponding leg, then the two triangles are congruent (have the same shape and size).
Now,
The two triangles are right triangles.
So,
From the definition of congruency, we can say,
ΔJKL and ΔQRS are congruent by:
HL, SAS, SSS, and LL.
Thus,
ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.
Learn more about triangle congruency here:
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On a number line ,4.1 would be located. choose all answers that make a true statement.
A. To the right of 4.5
B. between 5 and 6
C. to the left of 4.19
D. To the left of 4.4
Help me plz
Answer:
D
Step-by-step explanation:
Cheddar Cheese
$3/1b
Swiss Cheese
$5/16
Keisha is catering a luncheon. She has
$30 to spend on a mixture of Cheddar
cheese and Swiss cheese. How many
pounds of cheese can Keisha get if she
buys only Cheddar cheese? Only Swiss
cheese? A mixture of both cheeses?
What linear equation in standard form can
she use to model the situation?
If she buys only Cheddar, and she spends all $30, she can buy
(Type an integer or a decimal.)
pounds.
Complete question :
Cheddar Cheese
$3/lb
Swiss Cheese
$5/lb
Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Answer:
10 lbs of cheddar cheese
6 lbs of Swiss cheese
$3a + $5b = $30
Step-by-step explanation:
Given that :
Cheddar cheese = $3/lb
Swiss cheese = $5/lb
Total amount budgeted for cheese = $30
How many pounds of cheese can Keisha get if she buys only Cheddar cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of cheddar cheese
$30 / 3 = 10 pounds of cheedar cheese
Only Swiss cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of Swiss cheese
$30 / 5 = 6 pounds of Swiss cheese
A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Let amount of cheddar cheese she can get = a
Let amount of Swiss cheese she can get = b
Hence,
(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount
(3 * a) + (5 * b) = $30
$3a + $5b = $30
A caterer has 5 rolls. He is ordering more rolls. He can order up to 9 packages of rolls and each package contains 12 rolls. The caterer cannot order partial packages. The function that models the number of rolls the caterer has is f(p)=12p+5, where p is the number of packages he orders.
What is the practical domain of the function?
Giving points and brainliest.
Answer:
1-9 inclusive
Step-by-step explanation:
Solve -6x - 7 = 17.
X=_
Answer:
x=-4
Step-by-step explanation:
-6x=17+7
-6x=24
x=-4
Answer:
x = -4
Step-by-step explanation:
Add 7 to each side of the equation (left and right of the equal sign) which should get you to -6x = 24. Then multipy both sides by -1 to make the -6x positive and turn the 24 negative. That should leave you with 6x = -24, then divide by 6 on each side and your answer should be x = -4
(3x-5) (7x+5) find x
Answer:
I
Step-by-step explanation:
3x-5+7x+5+90=180
x=9
simplify the expression -2d-3+8d
Answer:
6d-3
Step-by-step explanation:
The parabola with equation $y=ax^2+bx+c$ is graphed below:
(attached)
The zeros of the quadratic $ax^2 + bx + c$ are at $x=m$ and $x=n$, where $m>n$. What is $m-n$?
Answer:
[tex]m-n=2[/tex]
Step-by-step explanation:
Instead of using the standard form, we can use the vertex form of a quadratic equation:
[tex]f(x)=a(x-h)^2+k[/tex]
Where a is the leading coefficient, and (h, k) is our vertex.
Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:
[tex]f(x)=a(x-2)^2-4[/tex]
Now, we need to determine a.
We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:
[tex]12=a((4)-2)^2-4[/tex]
Solve for a. Subtract within the parentheses:
[tex]12=a(2)^2-4[/tex]
Add 4 to both sides:
[tex]16=a(2)^2[/tex]
Square:
[tex]16=4a[/tex]
Solve:
[tex]a=4[/tex]
Thererfore, the value of a is 4.
So, our function is:
[tex]f(x)=4(x-2)^2-4[/tex]
Now, let’s find our roots. Set the equation to 0 and solve for x:
[tex]0=4(x-2)^2-4[/tex]
[tex]4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1[/tex]
So, our roots are 1 and 3.
The greater root is 3 and the lesser root is 1.
Therefore, m-n, where m>n, is 3-1 or 2.
Our final answer is 2.
Answer:
2
Step-by-step explanation:
Source: AOPS
x(4- k) = p
solve for k
Answer:
Answer
3.0/5
10
FluttershyK22
x(4-k)=p
[x(4-k)=p]/x
4-k=p/x
-4 = -4
-k=p/x-4
k=4-p/x
Step-by-step explanation:
Answer:
k = - 4 + p
Step-by-step explanation:
p = x ( 4 - k )
p = 4x - kx
-4x -4x
4x - p = - kx
divide by -x
-k = 4 - p
divide by -
k = - 4 + p
Hope this helps!!!
Can someone help me with the questions in the picture?
Whats % is 4 of 16 ?
Answer:
25 percent
Step-by-step explanation:
percent=1/100
16 times x=4
16 times 1/4=4
Answer:
.06 % (6%)
Step-by-step explanation:
I'm not good at explaining but,
Using baseball method I:
1. Wrote it out as a fraction
2. multiplied numerator (4) by the denominator of (16)
3. Then I divided the product of that, 64, by 100 and got .04
Which is 4% (:
Peter creates balloon animals for different events. He has 644 balloons. He wants to use
the same number of balloons for each of 28 events. How many balloons can Peter use at
each event?
Answer:
He uses 23 balloons for each of the 28 events.
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
I divided 644 by 28. There are 644 balloons and you want to split
(divide) into the same number of balloons with none left over. Look for those key words to tell you what type of math your doing. Hope this helps!
1/2b-9+8b-7-b+14
I need to combine like terms.
Answer:
Step-by-step explanation:
1/2b+8b+(-b) = 7 and 1/2 b
(-9)+(-7) +14 = -2
so the answer is: 7 1/2b -2
Can somebody plz answer all of them correct except number 7!!! Please thanks so much :) it’s my corrections :/
WILL MARK BRAINLIEST
Answer:
Number 8 is going to be 5/2
Number 9 is going to be 31/8
Number 10 is going to be 7/4
Number 11 is going to be 29/6
Number 12 is going to be 67/13
Step-by-step explanation:
Hope this helped
1. Find the distance between the
points: (1, 2),(6, 4)
Someone help me with this plis !
Answer:
5.8516
Step-by-step explanation:
To find the distance between these 2 points we have to use the distance formula. The distance formula is as follows:
[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Let's find the variables of this equation:
x2 = 6
x1 = 1
y2 = 4
y1 = 2
Now, we can plug these in to the equation:
[tex]d = \sqrt{(6-1)^2 + (4-2)^2}[/tex]
Next, let's solve:
[tex]d = \sqrt{(5)^2 + (2)^2}\\d = \sqrt{25 + 4} \\d = \sqrt{29} \\d = 5.8516[/tex]
Therefore, the distance between points (1,2) and (6,4) is 5.8516
Hope this helps!!
- Kay :)
Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year
Which equation can be used to determine the number of years, 2, at which the trees will be an equal height?
A:14 + 12x= 16 + 2x
B:16 + 12x = 14 +2x
С:12 + 16x =2 + 14x
D:12 + 14x= 2 + 16x
Answer:
The answer is D
The equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year.
Variety [A] = 14x + 12
Variety [B] = 16x + 2
The equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
Therefore, the equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
To solve more questions on straight lines, visit the link below-
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Sa se determine termenii de rang 10,15,20 ai progresiei aritmetice :a)-4,-1,2,5,...;b)10,6,2,-2...;c)1/2,1,3/2,2,...;d)-2/3,-2(6),-4 intregi pe langa 2/3
Answer:
Step-by-step explanation:
-2
What is the solution to the equation
-30 3
+
- 20-8
0-4
d+2?
O d = -4 and d = 2
O d= -2 and d = 4
O d=1
O d = 2
Answer:
It would be the 2nd one
Step-by-step explanation:
Arunner jogs 2 mi 120.3 yd. how far does the runner jog in meters?
round your answer to the nearest tenth of a meter.
conversion ratios:
1 m = 3.3 ft
3 ft = 1 yd
5,280 ft = 1 mi
1,760 yd = 1 mi
?
Answer:
To the nearest tenth of a meter, this is 3,309.4 m
Step-by-step explanation:
Here, we want to convert the jogging distance to meters only
we have 2 miles 120.3 yards
5,280 ft = 1 mile
2 miles will be 5,280 * 2 = 10,560 ft
3 ft = 1 yard
x ft = 120.3 yards
x = 120.3 * 3 = 360.9 ft
Adding both together to give ft only, we have
360.9 + 10,560 = 10,920.9 ft
1 m = 3.3 ft
x m = 10,920.9 ft
x = 10,920.9/3.3
x = 3,309.363636363636
To the nearest tenth of a meter, this is 3,309.4 m
How many solutions for the equation, 8x - 19 = -4 -7x
Answer: One.
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 8*x-19-(-4-7*x)=0
Pull out like factors : 15x - 15 = 15 • (x - 1)
Solve : 15 = 0
Solve : x-1 = 0
Add 1 to both sides of the
Vocabulary Explain why each relationship is not linear PLEASE HELP ASAP
Answer:
11) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 1 every time but the y-value is not constant. It goes up by 2 from 4.5, 6.5, 8.5, but then at 8.5 to 11.5, it went up by 3 which means that it's not a constant rate of change and is not linear.
12) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 2 every time but the y-value is not constant. It went down by 14 then 16 and 18. All these numbers and different which means that the table does not have a constant rate of change and is not linear.
Step-by-step explanation:
Always remember that linear tables, graphs, etc have a constant rate of change.
Hope this helps you
HELPPP
Timmy and Sam ran in a marathon. Timmy ran at a constant speed of 5 miles per hour. Sam ran at a
constant speed of 4 miles per hour and had a head start of 2 miles. Determine where Timmy and Sam will
meet.
Answer:
they will meet 10 miles out after 2 hours
Step-by-step explanation:
write down the factors of 18
Answer:
Factors of 18 are 1, 2, 3, 6, 9, 18
Which comparison is true? Use the number line to help you. A number line going from negative 6 to positive 6 in increments of 1. Negative 5.8 > Negative 5 and three-fourths 3.6 < StartFraction 37 Over 10 EndFraction 4 and one-third = 4.4 3.6 > 4.4
Answer: its (A) and sorry if its wrong and tell me if it is and if it is wrong the answer is (C)
Answer:
it is b
Step-by-step explanation:
HELP ME THIS IS THE LAST ONE
Answer:
100,000m
Step-by-step explanation:
find the square root of 100 squared +1,000squared
20 POINTS!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST
9514 1404 393
Answer:
8x +96 yd
Step-by-step explanation:
The perimeter is the sum of the side lengths. In this case, it will be twice the sum of the overall length and the overall height.
The overall length is the sum of the two horizontal segments at top:
(x -2) +(3x) = 4x -2
The overall height is the sum of the right-side vertical segments:
10 + 40 = 50
Then the perimeter is ...
P = 2(L+W) = 2((4x -2) +50) = 2(4x +48) = 8x +96
The perimeter is 8x +96 yards.
Find the equation of the line specified.
The line passes through the points (-2, 3) and ( -4,7)
Answer:
Step-by-step explanation:
to get the slope, we use the fotmula y2-y1/x2-x1
so that would be
7-3 over -4-(-2)
7-3=4 and -4-(2)=-2
so the slope is -4/2x, or simply -2x
Please help! Which inequalities represents the domain & range of this problem
Answer:
X ≥ 20 and f(x) ≥ 1020
Step-by-step explanation: