Answer: 15
Step-by-step explanation: 15 ÷ 5 = 3
4. Amy, Betty and Carol have 96 books altogether. Betty has 6 books less than Amy and Carol has half as many as Betty. How many books does each girl have?
The Amy has 42 books, Betty has 36 books, and Carol has 18 books.
Let's set up equations to represent the given information:
Let A represent the number of books Amy has.
Let B represent the number of books Betty has.
Let C represent the number of books Carol has.
Let's say Amy has x books.
Betty has 6 books less than Amy, so Betty has (x - 6) books.
Carol has half as many books as Betty, so Carol has (x - 6)/2 books.
According to the problem, the total number of books they have is 96.
So, we can write the equation:
x + (x - 6) + (x - 6)/2 = 96
To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:
2x + 2(x - 6) + (x - 6) = 192
2x + 2x - 12 + x - 6 = 192
5x - 18 = 192
5x = 210
x = 42
Amy has 42 books.
Betty has (42 - 6) = 36 books.
Carol has (36)/2 = 18 books.
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What number is 4 units to the left of the number 1 on the number line?
Answer:
-3
Step-by-step explanation:
-5,-4,-3,-2,-1,0,1,2,3,4,5,
< < < <
There are 450 cars in the car lot about 28% of them are hybrid cars. About how many cars are hybrid cars? Explain your reasoning.
Answer:
there are 126 hybrid cars.
Step-by-step explanation:
28% of 450 is 126
ta-daaa
Can someone help me with 42 divided by 9
Answer:
4.6 or if you rounded it would be 5
The division of the number 42 divided by 9 gives 4.666.
To calculate 42 divided by 9
Perform the division:
= 42 ÷ 9
= 42/9
= 4.666666...
Also, long division method can be used.
The long division method gives quotient is 4.666.
So, 42 divided by 9 is 4.67.
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PLS HURRY A recipe calls for 6 ounces of raisins. How many milligrams of raisins is this? (1 ounce = 28.35 grams and 1 gram = 1,000 milligrams)
170.1 milligrams
1,701 milligrams
17,010 milligrams
170,100 milligrams
Answer:
170,100 milligrams
Step-by-step explanation:
1 ounce = 28.35 grams
6 ounces = ?
6*28.35 = 171.10 grams
1 gram - 1000 milligrams
171.10 grams = ?
171.10*1000 =
171,100 milligrams
Answer:
A recipe calls for 170,100 milligrams of raisins.
Step-by-step explanation:
I took the exam and got it right
Which of these has the smallest product?
Answer:
B
Step-by-step explanation:
1/5 x 5/6 = 5/30
Hope this helps!
-3+8n=-5 for 7th grade math equation algebra
Answer: -0.25
Step-by-step explanation:
Start by undoing with PEMDAS (order of operations, P-parenthesis, E-exponents, etc)
+3 on both sides of equal sign, which gives you
8n=-2
then divide by 8 on both sides (undo the times 8)
n=-0.25
Answer: -0.25
Step-by-step explanation:
Start by undoing with PEMDAS (order of operations, P-parenthesis, E-exponents, etc)
+3 on both sides of equal sign, which gives you
8n=-2
then divide by 8 on both sides (undo the times 8)
n=-0.25
A pasty chef needs 90 milliliters of batter to produce one cupcake. How many cupcakes can be produced from a recipe that yields 18 liters of batter?
Answer:
Step-by-step explanation:
i don't know convert
Does anyone know this?
Answer:
i think c or b I D K
Step-by-step explanation:
50 points and brain thing!!! Please show proof for the question above
Answer:
Ight...
Step-by-step explanation:
Hi
Write the expression in complete factored form.
(X + 8) - 9(X + 8) =
Answer:
7
Step-by-step explanation:
Do the brackets first
X+8= 8x
X+8= 8x
then you plus 8x + 8x =16x
16x -9 =7x
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
Rachel is going to rent a truck for one day. There are two companies she can choose from, and they have the following
prices,
Company A charges $79 and allows unlimited mileage.
Company B has an initial fee of S65 and charges an additional S0.70 for every mile driven
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answer:
65 + .70(20)= 79 dollars
Step-by-step explanation:
65+0.70miles = Fee
this means she can drive 19 miles and she will still be below the price company A but as soon as she drives 20 miles company A and B will cost the same
please mark brainliest if u can i need 5 more :)
What is the answer too 509+35+12
Answer:
556
Step-by-step explanation:
the answer to your question
Function A and Function B are linear functions.
Function A Function B
X Y
3 11
9 23
10 25
Which statement is true?
The y-value of Function A when x=-4 is greater than the y-value of Function B when x=-4.
The y-value of Function A when x=-4 is less than the y-value of Function B when x=-4.
The statement which is true is that: B. the y-value of Function A when x = -4 is less than the y-value of Function B when x = -4.
How to determine the true statement?First of all, we would determine a linear equation that represents Function B by determining its slope using the point-slope form as follows;
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Substituting the given parameters into the point-slope formula, we have the following;
y - 11 = (23 - 11)/(9 - 3)(x - 3)
y - 11 = 12/6(x - 3)
y - 11 = 2(x - 3)
y - 11 = 2x - 6
y = 2x - 6 + 11
y = 2x + 5
Next, we would evaluate both Function A and Function B as follows:
y = x - 4
y = -4 - 4
y = -8.
Function B:y = 2x + 5
y = 2(-4) + 5
y = -8 + 5
y = -3.
Therefore, the output value (y-value or range) of Function A is lesser than that Function B.
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The 3 in 3000 is how many times greater than the 3 in 30?
Answer:
100
Step-by-step explanation:
PLEASE ANSWER BOTH QUESTIONS!
The correct statement regarding the transformation is given as follows:
Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.
The true statements about the dilation are given as follows:
Dilating a line segment can change the length.Dilating a polygon can change the area.What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:
k = 0.5.
The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.
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How much longer is a 5-inch button than a 3/8 inch button
Answer:
4 2/8
Step-by-step explanation:
Write the expression without using exponents.
(−9x)4
The expression (-9x)^4 can be represented as -6561x^3 without using exponents.
To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.
(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)
To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:
(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2
So, by substituting this result back into the original expression, we get:
(-9x)^4 = 81x^2 * (-9x) = -6561 x^3
Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.
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Need help with proofs, anyone know how?
Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.
What is a perpendicular bisector?In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.
This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.
Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;
MS ≅ QSNS ≅ RSMN ≅ QN ∠NMS and ∠NQSΔMNS ≅ ΔQNSRead more on perpendicular bisectors here: brainly.com/question/19154899
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Complete Question:
The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS
We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.
NS and NS
NS and RS
MS and RS
MS and QS
10. Last year, a state university received 3.560 applications from boys. Of
those applications, 35% were from boys who lived in other states. Part A
How many applications did the university receive from boys who lived in
other states? Show how you found the answer for full credit
Answer:
1.246
Step-by-step explanation:
First, you divide 3.560 by 100%, which gives you 3.56. Now since you have the number of applications received each, you now multiply 3.56 by 35%, or 0.35, which then gives you 1.246.
What fraction of the student finished in less than 20 minutes?
Answer:
that depends on the number of students
Answer:
how many kids were involved
Solve the system of linear equations by elimination.
10x–9y= 46
-2x + 3y = 10
Do as ( , ) please
Answer:
This is my best solution for your question
Jim’s soccer team has a record of 12 wins and 8 losses. Which team below has the same rate of wins and losses?
Answer:
a volleyball team with 9 wins and 6 losses
Step-by-step explanation:
Jim’s soccer team has a record of 12 wins and 8 losses.Hence when divded
the answer is 1.5 or the same as 3/2 .Hence all we need need to do is find the
answer that is the same as 1.5.
Hence the answer is B a volleyball team with 9 and 6 losses.I know it's right because whenever 9 and 6 divdied they make 1.5.hence this answer is right
A 78.0 kg sprinter starts a race with an acceleration of 1.64 m/s2. If the sprinter accelerates at that rate for 25 m, and then maintains that velocity for the remainder of the 100 m dash, what will be his time (in s) for the race?
The sprinter will complete the race in approximately 17.07 seconds.
To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.
Acceleration Phase:
The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:
v = u + at
Here:
v = final velocity (which is the velocity at the end of the acceleration phase)
u = initial velocity (which is 0 since the sprinter starts from rest)
a = acceleration
t = time
Rearranging the equation, we have:
t = (v - u) / a
Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:
t = v / a
Plugging in the values, we get:
t = 25 m / 1.64 m/s²
Constant Velocity Phase:
Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:
t = d / v
Here:
d = distance
v = velocity
Plugging in the values, we get:
t = 75 m / (v)
Since the velocity remains constant, we can use the final velocity from the acceleration phase.
Now, let's calculate the time for each phase and sum them up to get the total race time:
Acceleration Phase:
t1 = 25 m / 1.64 m/s²
Constant Velocity Phase:
t2 = 75 m / v
Total race time:
Total time = t1 + t2
Let's calculate the values:
t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)
Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:
v = u + at
Here:
u = initial velocity (0 m/s)
a = acceleration (1.64 m/s²)
t = time (25 m)
Plugging in the values, we get:
v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s
Now, let's calculate the time for the constant velocity phase:
t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)
Finally, let's calculate the total race time:
Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)
Therefore, the sprinter will complete the race in approximately 17.07 seconds.
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Select each equation which is equivalent to 60% of 25.
A. 0.6 • 25 = x
B. x • 1.6 = 25
C. 6/10=x/25
D.60/100 = 25/x
E. x/25 = 60/100
F.6.0 • 25 = x
PLEASE I NEED THIS NOWWWWW
9514 1404 393
Answer:
A, C, E
Step-by-step explanation:
A. 0.6 • 25 = x . . . . . a direct translation of 60% of 25 (yes)
B. x • 1.6 = 25 . . . no (means 160% of x is 25)
C. 6/10=x/25 . . . . . . the ratio of x to 25 is 60% (yes)
D.60/100 = 25/x . . . no (means 25 is 60% of x)
E. x/25 = 60/100 . . . . . the ratio of x to 25 is 60% (yes)
F.6.0 • 25 = x . . . no (no means 600% of 25)
Answer:
A, C, E
Step-by-step explanation:
To the nearest millimeter, a cell phone is 114 mm long and 69 mm wide. What is the ratio of the width to the length
Answer:
69mm:114 mm
Step-by-step explanation:
I don’t get this question at all and I really need help on this.!
Answer:
C
Step-by-step explanation:
Vasily is incorrect. She left out the -10g
A puzzle has 1080 pieces. How many pieces are 80% of the puzzle?
Answer:
864
Step-by-step explanation:
80/100 simplified is 4/5
so you do 4/5 of 1080
which is 1080 divided by 5 that is 216
and then 216 x 4 which is 864
2 Mabaso has R140, Thabo has R70 and Ally has R35. What is the ratio of the amount of money Mabaso has, to the amount of money Thabo has and to the amount of money Ally has? Write the ratios in simplest form. The price of a steel table is R750. On Black Friday the table could be bought for R600. Calculate the percentage discount? Show ALL your calculations. Convert 125 g to kilograms. (1 kg = 1 000 grams) A green grocer packs 12 apples in a plastic bag. Calculate the number of bags he w need if he has 285 apples. The scale of a map is 1 500 000. Determine the actual distance in km if measurement on the map is 23,7 cm. Hint: 1 km = 100 000 cm
The actual distance represented by 23.7 cm on the map is 355.5 km.
To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.
Mabaso has R140, Thabo has R70, and Ally has R35.
The ratio of Mabaso's money to Thabo's money is:
R140 ÷ R35 = 4
The ratio of Mabaso's money to Ally's money is:
R140 ÷ R35 = 4
Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.
To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.
Original price: R750
Discounted price: R600
Discount: R750 - R600 = R150
Percentage discount: (R150 ÷ R750) × 100 = 20%
So, the table has a 20% discount on Black Friday.
To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).
125 g ÷ 1,000 = 0.125 kg
Therefore, 125 grams is equal to 0.125 kilograms.
If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.
Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags
Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.
If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.
1 cm on the map represents 1,500,000 cm in reality.
23.7 cm on the map represents x cm in reality.
x = 23.7 cm × 1,500,000 cm = 35,550,000 cm
To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).
35,550,000 cm ÷ 100,000 = 355.5 km
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