Answer:
false
Step-by-step explanation:
Calculate the equivalent ratio 1.25 : 3.75 : 7.5
The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.
By multiplying each number in the ratio by 4, we get:
1.25 * 4 = 5
3.75 * 4 = 15
7.5 * 4 = 30
So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.
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I GIVE BRAINLISEST
Angie jarred 28 liters of jam after 4 days. How much jam did Angie jar if she spent 7 days making jam? Assume the relationship is directly proportional.
Answer: 49
Step-by-step explanation: becase if you find how much is jarred in 1 day (divide 28 by 4) you than multiply that answer (7) by the number of days (7) to get the answer 49
Please help me... it would be great!
3) 1 1/2 gallons for 3/4 of the room
Answer; 2 gallons for 4/4 of the room
4) 12 1/2 gallons drives 325 miles
Answer; 1 gallon drives 26 miles
Solve by completing the square.
j² + 14j + 5 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals
rounded to the nearest hundredth.
Submit
or j =
=
Answer:
\(j = 7 \pm \sqrt{44}\)
Step-by-step explanation:
First, move the constant term to the other side of the equation.
\(j\² + 14j + 5 = 0\)
\(j\² + 14j = -5\)
Next, add the coefficient of the first degree j term divided by 2, then squared to both sides.
\(j^2 + 14j + (14/2)^2 = -5 + (14/2)^2\)
\(j^2 + 14j + (7)^2 = -5 + (7)^2\)
\(j^2 + 14j + 49 = -5 + 49\)
\(j^2 + 14j + 49 = 44\)
Now, we can factor the left side as a square.
\((j+7)(j+7) = 44\)
\((j+7)^2 = 44\)
Finally, we can take the square root of both sides to solve for j.
\(\sqrt{(j+7)^2} = \sqrt{44\)
\(j+7=\pm\sqrt{44}\)
\(\boxed{j = 7 \pm \sqrt{44}}\)
Note that there are two solutions, as \(\sqrt{44\) could be positive OR negative because of the even root property:
if \(x^2 = a^2\),
then \(x = \pm a\)
because both \((+a)^2\) and \((-a)^2\) equal \(a^2\).
The distance that John covers each day during his morning walks is given in the graph. Using my this information, predict the distance that John may cover on day 6
A: 5.2 miles
B: 4.2 miles
C: 3.2 miles
D: 2.2 miles
John may cover 2.2 miles on day 6.
The correct answer is option (D)
What is graph?"It is a pictorial representation of data in an organized manner. "
For given question,
The distance that John covers each day during his morning walks is given in the graph.
From the graph we can observe that the highest value on the graph is 4.
Also the data is symmetrical on the left side and on the right side of the highest value.
We need to predict the distance that John may cover on day 6.
It must be the same as it is at day = 0
At day = 0, the distance is 2.2 miles.
Therefore, John may cover 2.2 miles on day 6.
The correct answer is option (D)
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Pam is building a rectangular lap pool that is four times the length and four times the width of her present spa. She is leaving the height the same as her existing spa. How many times as much water does the pool need than the spa?
Answer:
Step-by-step explanation:
16
Nicholas put 1,012 baseball cards into boxes. He put 22 cards in each box. How many boxes did Nicholas need for these baseball cards?
Answer:
46 boxes
Step-by-step explanation:
1012 / 22 = 46
HELP I need help on 5 and 6 somebody please help me !
5) The rectangle is the product of a reduction with scale factor of 1 / 3 and whose missing sides are x = 1, y = 2 and z = 1.
6) The triangle is the product of an enlargement with scale factor of 2 and whose missing sides are m = 16 and n = 20.
What the values of the missing lengths in dilated triangles?
In this problem we have two cases of dilation, that is, generating new triangles by multiplying each side by the same factor. Dilations are examples of rigid transformations, that is, transformations done on geometric loci such that Euclidean distance is conserved.
Mathematically speaking, dillation can be represented by the following expression:
d = r' / r (1)
Where:
d - Dilation factorr - Original lengthr' - Resulting lengthNow we proceed to find the missing sides:
Rectangle 5
d = 2 / 6
d = 1 / 3 (Reduction)
Then, the missing lengths are:
x = (1 / 3) · 3 = 1
y = (1 / 3) · 6 = 2
z = (1 / 3) · 3 = 1
Triangle 6
d = 14 / 7
d = 2 (Enlargement)
Then, the missing lengths are:
m = 2 · 8 = 16
n = 2 · 10 = 20
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form is y+1=-6(x-8) actions for any numbers in the
You can repeat these actions for any numbers of x to find the corresponding value of y.
The form y+1=-6(x-8) is a linear equation in slope-intercept form, where the slope is -6 and the y-intercept is 1. To find the value of y for any numbers of x, you can follow these steps:
1. Start with the equation y+1=-6(x-8)
2. Choose a value for x. For example, let's use x=3.
3. Substitute the value of x into the equation: y+1=-6(3-8)
4. Simplify the equation: y+1=-6(-5)
5. Simplify further: y+1=30
6. Solve for y: y=29
So for x=3, the value of y is 29. You can repeat these actions for any numbers of x to find the corresponding value of y.
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Match the statement with the inequality:
A. Four less than the product of five and
x is greater than twenty.
B. The product of a number x and five
decreased by 4 is less than twenty.
C. The product of a number x and five,
increased by 4 is twenty.
1. 5x−4>20
2. 5x+4>20
3. 5x+4<20
4. 5x−4<20
5. 4x-5<20
6. 4x +5>20
7. 5x+4 = 20
8. 5x–4 = 20
Answer:
D Which is the following represents a function minus 7 minus 9 minus minus 95, 15, 719, a graph plots, the points negative 31 negative, 3 negative, one negative one negative, 3153 negative, 3 and negative, 5 of the x y coordinate plane sea of value, negative 7 and x corresponds to 45 value negative for an XS corresponds to 52 in Hawaii, value negative one corresponds to a negative to a value to an ex corresponds to 45, and why d x 5 minus 51059 13 minus 72317 minus 17
Suppose that y varies directly with x
and y = 5 when x = 6. What is y
dy
when x = 5?
Answer:
2/5
Step-by-step explanation:
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 9.8% per hour. How many hours does it take for the size of the sample to double?
Note: This is a continuous exponential growth model.
Do not round any intermediate computations, and round your answer to the nearest hundredth.
For the population to double, it takes around 7.07 hours.
The continuous exponential growth model is given by:
\(N(t) = N0 * e^{rt}\)
Where:
N(t) is the population size at time t
N is the initial population size (at t = 0)
r is the growth rate parameter
t is the time elapsed
We want to find the time t it takes for the population size to double, which means N(t) = 2N. Substituting into the growth model, we get:
\(2N = N * e^{rt}\)
Dividing both sides by N, we get:
\(2 = e^{rt}\)
Taking the natural logarithm of both sides, we get:
ln(2) = rt
Solving for t, we get:
t = ln(2)/r
Substituting r = 0.098 (9.8% as a decimal), we get:
t = ln(2)/0.098
t ≈ 7.07 hours
Therefore, it takes approximately 7.07 hours for the population size to double.
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Answer plsddjdjdjdjjdjdjdjdjdndnnfnfmdmxkdjdkdkfjfjkckxkxkxjxjxjcjc
Answer:
b rational and real ywwwww
A survey asks 184 people "What beverage do you drink in the morning?", and offers choices:
• Coffee only
• Tea only
• Both tea and coffee
• Neither tea nor coffee
Suppose 52 report tea only, 44 report coffee only, and 68 report both.
what is the question?
Plz Help me find the linear equation!!!!!!!!
Answer:
you need to show or tell us the problem for us to be able to help you
Step-by-step explanation:
:/
Answer:
um
Step-by-step explanation:
can u show us the question bc we can't help if there's no question
Based on the table which college expenses would you consider fixed and which expenses would you consider variable? Why?
9514 1404 393
Answer:
fixed: tuition, room, mealsvariable: books, personal, transportationStep-by-step explanation:
"Fixed" expenses are ones that don't change. They stay the same from year to year. Those would include ...
Fixed
tuition and fees: $4640room and board: $10,304campus meal plan: $3998"Variable" expenses are ones that change depending on circumstances. Those would include ...
Variable
books and supplies: $1500 to 2500personal expenses: $3000 to 4600transportation: $0 to 800find two square roots of 49
Answer:
its 7.
Step-by-step explanation:
7 x 7 = 49
simple
MA.7.DP.1.4
A group of friends has been given $800 to host a party. They must decide how much money
will be spent on food, drinks, paper products, music and decorations.
Part A. As a group, develop two options for the friends to choose from regarding how to
spend their money. Decide how much to spend in each area and create a circle
graph for each option to represent your choices.
Part B. Mikel presented the circle graph below with his recommendations on how to
spend the money. How much did he choose to spend on food and drinks? How
much did he choose to spend on music?
Party Spending Proposal
Mail
17%
Paper Products
Answer: $130 money did Brenda and Hazel have all together before buying decorations and snacks.
Here, we have,
You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.
Setup
Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...
(x/2 -58) : (x/2 -37) = 1 : 4
Solution
Cross-multiplying gives ...
4(x/2 -58) = (x/2 -37)
2x -232 = x/2 -37 . . . . . . eliminate parentheses
3/2x = 195 . . . . . . . . . . . . add 232-x/2
x = (2/3)(195) = 130 . . . . . multiply by 2/3
Brenda and Hazel had $130 altogether before their purchases.
Alternate solution
The difference in their spending is $58 -37 = $21.
This is the same as the difference in their final balances.
That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.
Their ending total is 1+4 = 5 ratio units, or $35.
The total they started with is $58 +37 +35 = $130.
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complete question:
Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?
what is the equivalent fraction of 13%
What type of transformation has occurred in the figure below?
B. Reflection.
C. Rotation.
D. Translation.
Answer:
B. Reflection
Explanation:
We can see that the figure has been reflected on x = 4.
Both B and D has been flipped but A and C is same.
The image is congruent to the original shape.
If translation was done B and D would not have flipped.
If rotation was done, all the coordinates would shift.
Answer:
the answer to your question is B reflection
Step-by-step explanation:
Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
7th grade math help me pleaseee
Answer:
Step-by-step explanation:
we will convert these all into percents since when you grade you get a percent
so 82%
1. 17/20 WHAT YOU DO IS & YOU DIVIDE 17 BY 20 you get 85%
2. 21/25 same thing we are going to DIVIDE 21 BY 25 and you get 84%
3. 0.8 since this is out of 100 you are going to move the decimal twice to the right because there are TWO ZEROS in a hundred so it would be 80% or you can multiply by 10
so the highest score would be 17/20
pls mark me brainliest
True or False: The height is always twice the length of tue base edge of any triangular pyramid.
Answer:
true
Step-by-step explanation:
3n3n3p0mdo98rueu33
find the positive suare root of the following number 57.27
The positive square root of 57.27 is approximately 7.5726, with further decimal places available through iterative approximation methods.
To find the positive square root of the number 57.27, we can use a calculator or mathematical operations.
Taking the square root of a number involves finding a value that, when multiplied by itself, gives the original number. In this case, we want to find the value that, when squared, equals 57.27.
Using a calculator, we can find the square root of 57.27 as approximately 7.5726. However, it's important to note that this is an approximation and may not be completely accurate due to rounding errors.
If we want to find a more precise answer manually, we can use iterative approximation methods. One such method is the Newton-Raphson method, which involves repeatedly refining an initial guess.
Starting with an initial guess of, let's say, 7, we can use the formula:
x(n+1) = (x(n) + (57.27/x(n)))/2,
where x(n) is the current approximation and x(n+1) is the next approximation. Iterating this formula a few times will converge to a more accurate value.
After a few iterations, we find that the positive square root of 57.27 is approximately 7.572615. This value can be further refined by performing more iterations or using more advanced numerical methods.
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Graph the equation y = 3/2x -2
Graph these twο pοints (0, -2) & (4/3, 0) and yοu have yοur slοpe graphed fοr the equatiοn y = 3/2x -2.
What is an equatiοn?
An equatiοn is a mathematical statement containing two algebraic expressiοns flanked by equal signs (=) on either side.
It shows that the relationship between the left and right printed expressiοns is equal.
All fοrmulas have LHS = RHS (left side = right side).
Yοu can sοlve equatiοns tο determine the values οf unknοwn variables that represent unknοwn quantities.
If a statement does not have an equals sign, it is not an equatiοn. A mathematical statement called an equatiοn cοntains the symbοl "equal tο" between twο expressiοns οf equal value.
Tο find the x-intercept, substitute y = 0 and sοlve fοr x. Tο find the y-intercept, substitute x = 0 and sοlve fοr y.
y = 3/2(0) -2
y = -2
⇒ (0, -2)
And for x
0 = 3/2x -2
2 = 3/2x
x = 4/3
(4/3, 0)
Now graph these two points and you have your slope graphed
Hence, The graph of the equation is given below.
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rewrite the expression 2^4sqrtx^7 using rational exponents
Answer:
The expression as a rational exponent is 16x^(7/2)
Step-by-step explanation:
The expression is given as:
2^4√x^7
Evaluate the exponent 2^4
16√x^7
Express √ as a power of 1/2
16* x^(7 * 1/2)
This gives
16* x^(7/2)
Evaluate the product
16x^(7/2)
Hence, the expression as a rational exponent is 16x^(7/2)
Answer:
\(16x^{\frac{7}{2}}\)
Step-by-step explanation:
\(2^4\sqrt{x^7}\\\\16\sqrt{x^7}\\\\16(x^7)^\frac{1}{2}\\ \\16x^{\frac{7}{2}}\)
Remember to multiply exponents when raising a base with an exponent to an exponent!
Quick 2 mins tell due 500÷30+200 decimal answer needed
\(500/30+200=16.\bar{6}+200=216.\bar{6}\)
What are the positive and negative square roots of 3,600?
Answer:
60 and -60
Hope this helps! :)
When loaded with bricks, a lorry has a mass of 11600 kg. If the mass of the bricks is three times that of the empty lorry, find the mass of the bricks.
Answer:
8700kg
Step-by-step explanation:
b = mass of bricks
l = mass of lorry
b+l = total mass = 11600kg
b = 3l ==> l = b/3
substitute: b + b/3 = 11600
multiply every term by 3 to get rid of denominator: 3b + b = 34800
simplify and solve: 4b = 34800 ==> b = 8700
check: l = 8700/3 = 2900
2900 + 8700 = 11600? YES