Answer:
68
Step-by-step explanation:
Step 1: Convert fraction to improper
4 1/4 = 16/4 + 1/4 = 17/4
Step 2: Multiply 16 and 17/4
16(17/4) = 272/4 = 68
How are zeros, the vertex, and symmetry of a quadratic function interpreted in a context?
Answer:
The zeroes of a quadratic equation are the points on the graph where it lies on the x-axis.
The vertex is the point where it is the maximum or minimum value of x or y depending on the symmetry.
The symmetry is the line where it cuts the graph through the vertex of the graph dividing it into two equal parts that mirror each other.
The quadratic formula, factoring, and completing the square are the methods used to solve a quadratic equation.
f(x) + 7 shifts the graph 7 units up, f(x +7) shifts the graph 7 units to the left
Step-by-step explanation:
One serving of pretzels contains 1.5 grams of fat. That is 3% of the daily amount recommended for a 2,000 calorie diet. How many grams of fat are recommended? Show your work.
Answer: 50 grams of fat
Step-by-step explanation:
From the question, we are informed that one serving of pretzels contains 1.5 grams of fat which is 3% of the daily amount recommended for a 2,000 calorie diet.
This means that we are expected to find the grams of fat for 100%. Since one serving of pretzels contains 1.5 grams of fat which is 3%, this means 1% will contain (1.5/3) = 0.5 grams of fat.
Therefore the grams of fat that are recommended will be:
= 100 × 0.5
= 50 grams of fat
Answer:
50 grams of fat
1.5 / 3 = 0.5
0.5 x 100 = 50
Step-by-step explanation:
Use the substitution method to solve the system of equations. Choose the
correct ordered pair
y = 12x-8
y=8x
A (4.12
B (3,15
C. (5.11
D. (216)
Answer:
D) (2,16)
Step-by-step explanation:
Y=12x-8
Y=8x
8x=12x-8
8=12x-8x
8=4x
2=x
Y=8x
Y=16
if y is an integer, find the value of y that satisfies both the linear inequalities y-2<2 and 3y+10>16
please give me calculation too tq
Answer:
Value of y = 3
Step-by-step explanation:
Given:
y-2<2 ........Eq1
3y+10>16.........Eq2
Find:
Value of y
Computation:
y-2<2
Add 2 both side,
y-2+2<2+2
y < 4
So y = (0,1,2,3)
Put y = 3 in both equation:
y-2<2
3-2<2
1<2
3y+10>16
3(3) + 10 >16
19>16
Both equation get satisfies by y = 3
So, Value of y is 3
please help its urgent !!!! -3c + 5d + 3c- d
Answer:
4d
Step-by-step explanation:
Am I supposed to simplify this?
-3c+5d+3c-d
-3c+3c+5d-d
0+4d
4d
Let me know if this helps :)
Answer:
= 4d
Step-by-step explanation:
-3c+3c = 0
5d-d = 4
-3c+5d+3c-d=4d
Sreya bought shoes for $37.57 and x pairs of socks for $1.95 each. Which expression shows the total money spent? (1 point) 37.57x + 1.95 37.57x + 1.95x 37.57 + 1.95 + x 37.57 + 1.95x
Answer:
37.57 + 1.95x
Step-by-step explanation:
The cost of the shoes is a constant, and we don't know how many socks she bought, but we know that for every pair of socks she bought, they cost would be 1.95. Since we haven't been given the total cost of the purchase, meaning how much the total was, this will be an expression. We will multiply an x against the amount (1.95), which will calculate the price for how many socks were purchased. This means the answer will be 37.57 + 1.95x.
I will clarify a little bit more on why the other answers are incorrect. The first option is 37.57x + 1.95. This is incorrect because the question is not asking how many shoes were bought, but it is questioning how many socks were bought. Option number two states 37.57x + 1.95x. This means that the number of socks and shoes are both unknown, and the question does not state that. Also, another point to make would be that we could also add these variables together, and we do not want that. Option number three states 37.57 + 1.95 + x. X cannot be a separate variable, because by stating that, it means that there would be one more object that was bought that is unknown. I hope this helps you understand my explanation a bit more.
Have a great day, and best of luck for your math problem!
N a group of 39 students, 14 study both Art and Biology. 5 study Biology but not Art. 6 study neither subject. Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
14/39 which is about 35.9%
Step-by-step explanation:
We have a total of 39 students and 14 of which study both Art and Biology
and the rest of the total is unimportant to the question. Since there are 14 students out of 39 we can now do the math and figure out that 14 divied by 39 is right about 35.9 percent.
Can you pick brainliest?
The following table shows the expressions that represent the sales of 4 companies
Rank the company sales by smallest to largest percent of increase and select the correct answer below
Answer: A,B,D,C
Step-by-step explanation:
Hi, to answer this question we have to analyze each expression:
Assuming x is the number of years, we have to calculate each equation for x =1:
A = 110 (0.70)^X = 110 (0.70)^1= 77
B = 140 (1.07)^X= 140 (1.07)^1 = 149.8
C =430 (1.90)^x=430 (1.90)^1= 817
D = 310 (1.14)^x= 310 (1.14)^1= 353.4
Comparing the sales:
77(A) < 149.8 (B) <353.4 (D) < 817(C)
So, the correct option is:
A,B,D,C
Aaron indicated that after tossing a penny 30 times, the relative frequency of heads was 0.47 (to the nearest hundredth). What would you predict the relative frequency would be after 60 coin tosses? Explain your answer. *
Answer: 0.5
Step-by-step explanation:
Given Data:
No of toss = 30
Relative frequency of heads = 0.47
What would be the relative frequency after 60 toss.
Therefore,
Since a penny has two sides, which are the head and tail.
No of head in 60 trials = 30
No of tail in 60 trials = 30
Relative frequency after 60 trials
= 30 / 60
= 1 / 3
= 0.5
On a coordinate plane, a curved line with minimum values of (negative 1.56, negative 6) and (3, 0), and a maximum value of (1.2, 2.9), crosses the x-axis at (negative 2.5, 0), (0, 0), and (3, 0), and crosses the y-axis at (0, 0). Which interval for the graphed function has a local minimum of 0? [–3, –2] [–2, 0] [1, 2] [
Question:
On a coordinate plane, a curved line with
minimum values
o (negative 1.56, negative 6)
o (3, 0),
maximum value
o (1.2, 2.9),
crosses the x-axis
o (negative 2.5, 0),
o (0, 0),
o (3, 0),
crosses the y-axis
o (0, 0).
Which interval for the graphed function has a local minimum of 0?
[–3, –2]
[–2, 0]
[1, 2]
[2,3]
Step-by-step explanation:
From the given information, it 'crosses' the x-axis at (3,0), and this is also a minimum. Thus the local minimum is at (3,0), so the answer choice for the interval is [2,3] (not indicated in the posted question, so double check).
The graphed function has a local minimum of 0 at [2, 4]
What is function?A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value.
Given that, On a coordinate plane, a curved line with minimum values of (-1.56, -6) and (3, 0), and a maximum value of (1.2, 2.9), crosses the x-axis at (-2.5, 0), (0, 0), and (3, 0), and crosses the y-axis at (0, 0).
This means,
When x = -1.56, the minimum value of the function is y(min) = -6
And,
When x = 3, the minimum value of the function is y(min) = 0
Therefore, the graphed function has a local minimum of 0, when x = 3
That means, the interval which contains this value of x is [2, 4] because, x = 3 ∈ [2, 4]
Hence, the graphed function has a local minimum of 0 at [2, 4]
For more references on function, click;
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The recipe calls for 3/8 cup of sugar and 1/8 cup of flour. Add:3/8+ 1/8 add the numerators only the answer is not 4/8
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}+\frac{1}{8}=\boxed{\frac{4}{8}}[/tex]
If the answer is not [tex]\frac{4}{8}[/tex] then it's probably because that it's not in the simplest form.
[tex]\frac{4}{8} =\frac{4/4}{8/4}=\frac{1}{2}[/tex]
The answer would be a half cup total.
Brainilest Appreciated.
Answer:
The answer is 1/2
Step-by-step explanation:
Percentage is 50%
Dec. Is 0.50
Remeber to fond the GCF and divide both sides by it:
4/8 = the GCF is 4 so 4/4 is 1 , 8/4 is 2
=1/2.
Answer the question below. Type your response in the space provided.
What is the surface area of the pyramid formed from the net shown here? The triangles are
equilateral, and each triangle has a height of 5.2 centimeters. Write your answer rounded to one
decimal point and with the correct unit.
6 cm
Done
Clear
6 cm
6 cm
Answer:
[tex]62.4$ cm^2[/tex]
Step-by-step explanation:
The net of the triangular pyramid is attached below.
Since each of the faces is an equilateral triangle of side 6cm, the base of the pyramid will also be an equilateral triangle of side lengths 6cm .
In the equilateral triangles
Base = 6cmHeight =5.2 cmTherefore, the surface area of the pyramid formed from the net shown
= 4 X Area of One Triangular Face
[tex]=4 (\frac12 \times bh)\\=4 (\frac12 \times 6\times 5.2)\\=4(15.6)\\=62.4$ cm^2[/tex]
The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a different spot to place the light. The proposed placements and the lit area that each produces are shown below. 27,5ft 38ft 60ft and 16.5ft 38ft 60 ft How do Nikki’s and Dylan’s proposals compare? Check all that apply. Nikki’s proposed placement will light a greater area than Dylan’s placement. Dylan’s proposed placement will light a greater area than Nikki’s placement. Both proposed placements will light the same sized area. Nikki’s proposed placement will light more than half the yard. Dylan’s proposed placement will light more than half the yard. Dylan’s proposed placement will light exactly half of the yard. Nikki’s proposed placement will light less than half of the yard.
Answer:
(C)Both proposed placements will light the same sized area.
(F)Dylan’s proposed placement will light exactly half of the yard.
Step-by-step explanation:
The diagram of the proposed light placement is attached below.
The area of the Rectangular Yard=60 X 38=2280 Square feet
The lit area for both placements is in a triangular shape.
Area of a triangle [tex]=\dfrac12 \times Base \times height[/tex]
Area of Nikki's Proposed Placement Lit Area =0.5 X 60 X 38[tex]=1140 ft^2[/tex] Area of Dylan's Proposed Placement Lit Area=0.5 X 60 X 38 [tex]=1140 ft^2[/tex]Therefore, the following options are correct:
(C)Both proposed placements will light the same sized area.
(F)Dylan’s proposed placement will light exactly half of the yard.
Which property of equality is used in solving x + 8 = 9?
Answer:
Subtraction Property of Equality.
Step-by-step explanation:
To solve x + 8 = 9, you need to subtract 8 from both sides of the equation. So, you would be using the Subtraction Property of Equality.
Hope this helps!
Answer:
subtraction property of equality
Step-by-step explanation:
x + 8 = 9
Subtract 8 from each side using the subtraction property of equality
x+8-8 = 9-8
x = 1
Select the correct answer from each drop-down menu. Simplify. √63
Answer:
√63 can be written as
√ 9 × 7 = √ 9 × √7 = 3 × √ 7
= 3√7
Hope this helps you
Answer: [tex]3\sqrt{7}[/tex]
Step-by-step explanation:
Separate [tex]\sqrt{63}[/tex] into [tex]\sqrt{7}[/tex] and [tex]\sqrt{9}[/tex]. Then simplify [tex]\sqrt{9}[/tex] into 3. Thus, the simplified version of [tex]\sqrt{63}[/tex] is [tex]3\sqrt{7}[/tex]
A man's basic wage for a 40-hour week
is $160.00. He is paid $5.00 per hour for
overtime. If he works 61/2 hours overtime
in a certain week, his wage for that week
is
Answer:
467.50
Step-by-step explanation:
do 61.5 times 5 to get 307.5 and add to 160 to get 467.50
Answer:
He earned $312.5 for that week
Step-by-step explanation:
Hello,
He earns $160 for 40 hours
And $5 per hour for every extra hour.
In a certain week, we work 61/2 hours as over time
1 hour = $5
61/2 hour = $x
x = [5 × (61/2)]
x = $152.5
He earned $152.5 on that week for overtime
Total amount he earned for that week = wage + overtime wage
Total amount = $160 + $152.5
Total amount = $312.5
The man earned $312.5 for that week
A man from a village X on a bearing of 060 degree to a village Y which is 20km away.From Y,he travels to a village Z,on a bearing of 195 degree. If Z is directly east of X , calculate, correct to three significant figure the distance of Y from Z and Z from X
Distance from Y to Z is 10.4 km and Z to X is 20 km
What is Distance?Distance is a numerical measurement of how far apart objects or points are.
What is Triangle?A triangle is a polygon with three edges and three vertices.
From the given data plot the graph,
Then,
∠XYZ=∠YZX=75 degrees
Therefore XY=XZ=20 km
[tex]YZ^{2}=20^{2} +20^{2} -2(20)(20)cos30[/tex]
YZ=10.4 km
Hence, Distance from Y to Z is 10.4 km and Z to X is 20 km
Learn more about Distance and Triangle here
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Answer:
Step-by-step explanation:
check all the answers of a present the same level precision. A) 22.543 B) 98.4 C) 0.264 D) 1.04
Answer:
A,and C
Step-by-step explanation:
A and C have the same level precision , they have three significant digit
Which of the following graphs is described by the function given below?
y = 2x2 + 8x+ 3
5
A.
B.
D.
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Step-by-step explanation:
D. Graph D the answer is D
Answer:
D. Graph D the answer is D
Step-by-step explanation:
Vincent wants to put 75 photograph in an album. A full page holds 6 photo graphs. what is the smallest number of pages vincent uses? (67)(72)(51)(42)(73)(64)(60)(20)(69)
Answer:
He needs just 13 pages
That is round up to not more than 20 pages will be the smallest
Step-by-step explanation:
Vincent wants to put 75 photograph in an album.
And a full page holds 6 photo graphs.
If 6 photographes is one page
Then 75 photographes =( 75*1)/6
75 photographes = 75/6
75 photographes= 12.5
12.5 pages will hold 75 photographes but nothing like 12.5 pages.
To the nearest page = 13 pages
Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel. What is the length of Line segment G D? please help!
Answer:
5.5
Step-by-step explanation:
Picture Proof
Answer: 5.5 : ) ~ Hope you have a great day!
Can someone please help me I really need help please help me thank you
Answer:
We can call the supplementary angle of x as (180 - x)°. Since the lines are parallel, 61° and (180 - x)° are congruent because they are alternate interior angles. We can write:
61 = 180 - x
-119 = -x
x = 119°
A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. Claim amounts are uniformly distributed on the interval [0,60] and are independent. The insurer covers 100% of each claim. Calculate the probability that the total benefit paid to the policyholder is 48 or less.
Answer:
0.89.
Step-by-step explanation:
So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;
(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."
(2). " distributed on the interval [0,60] and are independent."
(3). "The insurer covers 100% of each claim."
So, taking (1) above we will have;
(Total probability= 0.7 + 0.2 + 0.1 = 0.1)
A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.
0.8 + total probability = 0.8 + 0.1 = 0.9.
So, from the question, we are to "Calculate the probability that the total benefit paid to the policyholder is 48 or less."
Hence, P< 48/A = P < 48/0.9 = P < 53.33.
Thus, 53.33/60 = 0.89.
change 3/4 to decimal
Answer:
0.75
Step-by-step explanation:
Since we use the base 10 decimal system, first convert 3/4 to out of 100:
3/4 = 75/100
We divide 75 by 100 to get 0.75
find the volume and total surface area of a rectangular solid of dimensions 2cm by 3cmby 4cm
Answer:
volume-24 cm³
total surface area-12 cm²
Step-by-step explanation:
volume-2cmx3cmx4cm=24 cm³total surface area-3cmx4cm=12 cm²factor 20r+60t to identify the equivalent expression
Answer:
[tex]\boxed{20(r + 3t)}[/tex]
Step-by-step explanation:
[tex]20r + 60t[/tex]
Factor out 20 from the expression.
[tex]20(r) + 20(3t)[/tex]
Take 20 as common.
[tex]20(r + 3t)[/tex]
What is the measure of ABC? Please help, will give brainliest.
Answer:
Hello!
~~~~~~~~~~~~~~~~
Your answer would be (D) 60
~~~~~~~~~~~~~~~`~
Hope this helped you!
Lisa has 10 pencils. She gives two pencils to Anna and one pencil to Ben. What fraction of her pencils did she give away?
━━━━━━━☆☆━━━━━━━
▹ Answer
[tex]\frac{3}{10}[/tex]
▹ Step-by-Step Explanation
2 + 1 = 3
Written as → [tex]\frac{3}{10}[/tex]
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
[tex] \frac{3}{10} [/tex]Step-by-step explanation:
Total pencils that Lisa had = 10 pencils
Total pencils that Lisa had given to Anna and Ben:
=2+1
= 3
Now,
Fraction of her pencils that she gave away:
[tex] \frac{3}{10} [/tex]
Hope this helps...
Good luck on your assignment...
please help with this question
Answer:
3
Step-by-step explanation:
The shape is a triangular prism.
The volume of a triangular prism is the area of cross section times length.
Area of cross section is the area of a triangle.
15 × x × 1/2
15/2x
The length is 8 cm.
15/2x × 8
120/2x
The volume is given.
120/2x = 180
60x = 180
x = 180/60
x = 3
Complete the table of values for y=x^2-x x -2 -1 0 1 2 3 y 0 2
Answer:
See table below
Step-by-step explanation:
y=x^2-x
x -2 -1 0 1 2 3
y ? ? ? 0 2 ?
completed table:
x -2 -1 0 1 2 3
y 6 2 0 0 2 6