Answer:
The temperature needed to melt the chocolate = 86 degree Fahrenheit.
Step-by-step explanation:
The given temperature = 30 degrees Celsius.
Now we have to calculate the temperature in Fahrenheit. So just covert the given degree Celsius into Fahrenheit. Therefore multiply the 30 with 9/5 and add the 32 so the remaining answer is the temperature in the Fahrenheit. Below is the calculation to convert the degree Celsius into Fahrenheit.
Temperature = 30 × 9/5 + 32 = 86 Fahrenheit.
Please help me with this! Be very grateful.
Answer:
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Step-by-step explanation:
Total surface area: 36
Ratio is 2:1
So, 2x + 1x = 36
3x=36
x=36/3
x=12
2*12=24
1*12=12
So areas are 24 and 12 respectively
Now, we can say that the sides of the square will be same, 6 cm
6*6=36
so the length of both rectangles will be 6
Hence we can divide each area by 6 and find the breadth.
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Stay safe and stay cool
Hope it helps you.
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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:
The sum of two numbers is 30. If we double the larger number, and subtract three times the smaller number, the result is 5. What is the positive difference between the two numbers?
Answer:
8 is the difference, and 19 and 11 are the numbers. Hope this helped!
Answer: The difference is 8.
Step-by-step explanation:
We will let l represent the larger number s represent the smaller number.
so we know that L + S =30
Also 2L - 3S = 5 shows the relationship between the numbers.
Now we have two equations.
L + S =30
2L - 3S = 5 solve using any method.
L + S =30 solve for L and substitute it into the second equation.
L + S = 30
-S -S
L = 30 -S
2(30-s) - 3s = 5 Distribute
60 - 2s - 3s = 5 combine like terms
60 -5s = 5
-60 -60
-5s = -55
s = 11
We know the smaller number is 11 so to find the larger number we will subtract 11 from 30.
30 -11 = 19
The larger number is 19
so To find the difference we will subtract 11 from 19.
19 -11 = 8
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!
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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...
The function f(x) = 4e* when evaluated for f(2) is:
Answer:
The function f(x) = 4e* when evaluated for f(2) is:
Step-by-step explanation:
Its slope must be m= f'(0).
f'(x) = 8e2x ⇒ m = f'(0) = 8
y - y1 = m(x - x1)
m = 8
y1 = 10
x1 = 0
cause
factor 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]
Without multiplying, order the following products from least to greatest. 23* 2/2 23* 1/4 23* 13/5
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
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Answer:
Step-by-step explanation:
The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5million. In which year is the maximum salary reached
In the 5th year
Step-by-step explanation:For the first year, the salary is 1.2million = 1,200,000
For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000
.
.
.
For the last year, the salary is 1.5million = 1,500,000
This gives the following sequence...
1,200,000 1,275,000 . . . 1,500,000
This follows an arithmetic progression with an increment of 75,000.
Remember that,
The last term, L, of an arithmetic progression is given by;
L = a + (n - 1)d ---------------(i)
Where;
a = first term of the sequence
n = number of terms in the sequence (which is the number of years)
d = the common difference or increment of the sequence
From the given sequence,
a = 1,200,000 [which is the first salary]
d = 75,000 [which is the increment in salary]
L = 1,500,000 [which is the maximum salary]
Substitute these values into equation (i) as follows;
1,500,000 = 1,200,00 + (n - 1) 75,000
1,500,000 - 1,200,000 = 75,000(n-1)
300,000 = 75,000(n - 1)
[tex]\frac{300,000}{75,000} = n - 1[/tex]
4 = n - 1
n = 5
Therefore, in the 5th year the maximum salary will be reached.
what is two plus two
Answer:
4 is the answer to your question
Step-by-step explanation:
24) The sum of Sh.51000 was shared among three partners; Amos, John and peter such that the ratio
of Amos : John = 4:3 while John: Peter = 2:1. Calculate the amount received by Peter. (3 marks)
Answer:
Sh. 9000
Step-by-step explanation:
John : Peter = 2 : 1
John/peter = 2/1
John = 2 Peter.... (1)
Amos : John = 4:3
Amos/John = 4/3
Amos = 4/3 John.. (2)
From (1) & (2)
Amos = 4/3 * 2 Peter = 8/3 Peter.... (3)
Since,
Amos + John + Peter = 51000
Therefore,
8/3 Peter + 2peter + Peter = 51000
(8+6+3)/3 *Peter = 51000
17/3 * Peter = 51000
Peter = 51000 * 3/17
Peter = 3000 * 3
Peter = 9000
Hence, amount received by Peter is Sh. 9000.
YOO I NEED THIS RIGHT NOW!!
What is the difference of
[tex]( \frac{3}{4} x - \frac{2}{3} ) - ( - \frac{5}{6} + 2x)[/tex]
?
[tex] - \frac{5}{4} x + \frac{1}{6} [/tex]
[tex] - \frac{5}{4} x - \frac{1}{6} [/tex]
[tex] \frac{11}{4} x + \frac{1}{6} [/tex]
[tex] \frac{11}{4} x - \frac{1}{6} [/tex]
Answer:
The first option: -5/4x + 1/6.
Step-by-step explanation:
(3/4x - 2/3) - (-5/6 + 2x)
= (3/4x - 2/3) + 5/6 - 2x
= 3/4x - 2x - 2/3 + 5/6
= 3/4x - 8/4x - 4/6 + 5/6
= -5/4x + 1/6
So, the first option: -5/4x + 1/6.
Hope this helps!
The graph of y=4x[tex]x^{2}[/tex]-4x-1 is shown
Answer:
i.) (-0.25, 0), (1.25, 0)
ii.) (0.5, 2), (1.5, 2)
Step-by-step explanation:
For i, it is asking for the roots of the quadratic, or where the graph crosses the x-axis.
For ii, it is asking for the x-values when y = 2.
cual es la secuencia creciente de los divisores primos de 2520
Answer:
The answer is "[tex]2^3 \times 3^2 \times 5 \times 7\\\\[/tex]"
Step-by-step explanation:
Given:
2520
Prime factor=?
Prime factor of 2520 is:
[tex]= 2 \times 2 \times 2\times 3\times 3 \times 5 \times 7\\\\= 2^3 \times 3^2 \times 5 \times 7\\\\[/tex]
A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle Y to the nearest degree. 1. 122 = 112 + 62 − 2(11)(6)cos(Y) 2. 144 = 121 + 36 − (132)cos(Y) 3. 144 = 157 − (132)cos(Y) 4. −13 = −(132)cos(Y)
Answer:
[tex]Y\approx 84^\circ $(to the nearest angle)[/tex]
Step-by-step explanation:
The lengths of the sides of the scalene triangle are 6, 11, and 12.
We want to use the law of cosines to find the largest angle.
Note that the largest angle is always opposite the largest side.
Therefore:
[tex]1. 12^2 = 11^2 + 6^2-2(11)(6)\cos(Y) \\\\2. 144 = 121 + 36-(132)\cos(Y) \\\\3. 144 = 157 - (132)\cos(Y) \\\\4. -13 = -(132)\cos(Y)\\\\\\5. \cos(Y) = \dfrac{-13}{-132} \\\\6. Y = \arccos \left ( \dfrac{13}{132}\right)\\\\7. Y=84.35^\circ\\\\8. Y\approx 84^\circ $(to the nearest angle)[/tex]
The largest angle is 84 degrees to the nearest angle.
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!
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
After substituting, what is the first step when evaluating x + 3 x minus 4.2 when x = 5?
Answer:
Multiply the 3*5
Step-by-step explanation:
x+3x -4.2
Substitute x=5
5 + 3*5 -4.2
PEMDAS states multiply first
Multiply the 3*5
5 + 15 -4.2
Answer:
a!
Step-by-step explanation:
yw
What is the original price of a packet of biscuits bought for Rs230 including 6% tax
Answer:
Rs216.98
Step-by-step explanation:
If Rs230 is including the 6% tax then 230 = 106%
230 / 106 = 1% = 2.1698
2.1698 X 100 = 100% = 216.98
The original price of a packet of biscuits will be Rs216.98.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the original price of a packet of biscuits bought for Rs230 including 6% tax.
The original price will be calculated as below:-
If Rs230 is including the 6% tax then 230 will be equal to 106 percent as below:-
230 = 106%
Then 1 percent will be equal to the ratio of 230 and 106 as below,
1% = 230 / 106= 2.1698
Divide 230 by 106 and to calculate the original price multiply by 100.
2.1698 X 100 = 100% = Rs216.98
Therefore, the original price of a packet of biscuits will be Rs216.98.
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Which of the following functions shows the quadratic parent function, F(x) =
x2, shifted left?
Answer: choice B
Step-by-step explanation:
just took the quiz
omm its B. G(x)=(x+8)^2
just took the test
A shark is 80 feet below the surface of the water. It swims up and jumps out of the water to a height of 15 feet above the surface. Find the vertical distance the shark travels.
Answer:
∆y = 95 ft
the vertical distance the shark travels is 95 ft
Step-by-step explanation:
Given;
Initial position y1= 80 ft below the surface of water = -80ft
Final Position y2 = 15 ft above the surface = +15ft
The vertical distance travelled by the shark is;
∆y = y2 - y1 = 15 - (-80) ft
∆y = 15 +80 ft
∆y = 95 ft
the vertical distance the shark travels is 95 ft
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]
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
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
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°
Five times sum of a number, x,and nine is ten. What is the number?
Answer:
[tex]-7[/tex]
Step-by-step explanation:
[tex]5(x+9) = 10[/tex]
[tex]5x+45=10[/tex]
[tex]5x = -35[/tex]
[tex]x=-7[/tex]
Hope this helps.
Answer:
-7
Step-by-step explanation:
5(x + 9) = 10
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
...and is your order of operation.
First, divide 5 from both sides:
(5(x + 9))/5 = (10)/5
x + 9 = 10/5
x + 9 = 2
Next, isolate the variable x, by subtracting 9 from both sides:
x + 9 (-9) = 2 (-9)
x = 2 - 9
x = -7
x = -7 is your answer.
~
Anybody pls solve this question and explanation btw.
Answer:
[tex]Vol=883.6875\,\, cm^3\\[/tex]
Step-by-step explanation:
Recall that the volume of a whole sphere is given by the formula:
[tex]Vol_{sphere}=\frac{4}{3} \pi\,R^3[/tex]
then, the volume of a semi-sphere would be half of the formula above:
[tex]Vol=\frac{2}{3}\, \pi\,R^3[/tex]
Now, the radius R is given by half of the semi-sphere diameter: 15/2 = 7.5 cm.
which makes our calculation:
[tex]Vol=\frac{2}{3}\, \pi\,R^3=\frac{2}{3}\, \pi\,(7.5\,cm)^3=883.6875\,\, cm^3\\[/tex]
The angle measurements in the diagram are represented by the following expressions.
MY
ZA = 5.7 - 15
ZB = 2x + 21
Pro
Pro
Tea
Solve for x and then find the measure of B:
Answer:
x = 12
m(∠B) = 45°
Step-by-step explanation:
Given question is incomplete; find the complete question in the attachment.
In the figure attached two lines 'l' and 'm' are the parallel lines and line 'n' is a transverse.
Angles A and B are the "Alternate exterior angles" which will equal in measure.
m(∠A) = m(∠B)
(5x - 15) = (2x + 21)
5x - 2x = 15 + 21
3x = 36
x = 12
Since, m(∠B) = (2x + 21)
= (2×12) + 21
= 24 + 21
= 45°
Therefore, x = 12 and measure of angle B will be 45°.
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.
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]