To determine the weight of the box Kiva's father carries, we calculate 21 pounds as 35% of the father's box weight and find it to be 60 pounds.
Explanation:Kiva's family is moving and he carries a 21-pound box which is 65% lighter than the box his father carries. To find the weight of the box that Kiva's father carries, we need to determine what weight would be 65% lighter by the smaller box's weight. Let's denote the father's box weight as F. We know that 21 pounds is equal to 35% of the father's box's weight because 100% - 65% = 35%. So, we have:
Represent the relationship as an equation: 0.35F = 21.Divide both sides of the equation by 0.35 to find F: F = 21 ÷ 0.35.Calculate F to find the father's box weight: F = 60 pounds.Therefore, the weight of the box that Kiva's father carries is 60 pounds.
What two fractions equal 1 1/5
I also need help with this one also
Answer:
4/5 + 2/5
Step-by-step explanation:
They would equal 6/5 which is equivalent to 1 1/5
A new car is purchasd for 20,300 dollars. The value of the car depreciates at 9.5% per year. What will be the value of the car be, to the nearest cent, after 11 years?
[tex]\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &20300\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=\textit{elapsed time}\dotfill &11\\ \end{cases} \\\\\\ A=20300(1-0.095)^{11}\implies A=20300(0.905)^{11}\implies \stackrel{\textit{rounded up}}{A=6770.65}[/tex]
Answer:
$6770.65
this is rounded up
Step-by-step explanation:
An object’s speed decreases by 6% for each minute that it is slowing down. What is the percent that it’s speed will decrease over half an hour?
What postulate or theorem proves the two triangles are similar?
Answer:
sss therom
Step-by-step explanation:
they are congruent on all sides
Need some help with some questions:
1) What is the simplified form of:
[tex] \sqrt{8} + 5 \sqrt{2} [/tex]
2) Which fraction is equal to:
[tex] \frac{ \sqrt{3} + \sqrt{5} }{ \sqrt{3} } [/tex]
A.
[tex]3 + \sqrt{5} [/tex]
B.
[tex] \frac{2 \sqrt{3} + \sqrt{5} }{ \sqrt{3} } [/tex]
C.
[tex] \frac{3 + \sqrt{15} }{3} [/tex]
D.
[tex] \frac{3 + \sqrt{5} }{3} [/tex]
3) How many solutions are there for x if
[tex]y = {x}^{2} - 2 \: and \: 2x + y + 6 = 0[/tex]
4) Which equation has no simultaneous solution with:
[tex]y = {x}^{2} + 4[/tex]
A.
[tex]x = - 3[/tex]
B.
[tex]y = x + 4[/tex]
C.
[tex]y = 3x + 2[/tex]
D.
[tex]y = 2 - x {}^{2} [/tex]
5) Which one of these expressions is not rational?
A.
[tex]2 \sqrt{3} \times \sqrt{27} [/tex]
B.
[tex] \frac{2}{ \sqrt{8} } \times \sqrt{18} [/tex]
C.
[tex] \frac{3 \sqrt{42} }{ \sqrt{3} } [/tex]
D.
[tex] \sqrt{ \frac{4}{9} } [/tex]
Answer:
Question 1) 7 root 2
Question 2 ) c
Question 3) ?
Question 4) A
Question ) D
Answer:
1) 7 Root 2
2) C
3) 4
4) A
5) D
Step-by-step explanation:
Select the smallest fraction from the following list of fractions. 2/3, 3/4, 1 1/2, 3/5, 2 2/3, 7/8
Answer:
The answer is 3/5
Step-by-step explanation:
Let's convert to decimals these fractions and mixed numbers to make the comparison and find out the smallest fraction, this way:
2/3 = 0.67
3/4 = 0.75
1 1/2 = 1 + 1/2 = 1.5
3/5 = 0.6
2 2/3 = 2 + 2/3 = 2.67
7/8 = 0.875
Now we observe that the lowest value is 0.6, therefore, the smallest fraction is:
3/5
To find the smallest fraction, compare and convert the fractions to have a common denominator. The smallest fraction from the given list is 7/12.
Explanation:To find the smallest fraction from the given list, we need to compare the fractions. One way to compare fractions is to make their denominators equal. Let's convert all the fractions to have a denominator of 12:
2/3 = 8/123/4 = 9/121 1/2 = 18/123/5 = 7/122 2/3 = 20/127/8 = 10.5/12From the conversions, we can see that the smallest fraction is 7/12.
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What is 10/24 as a improper fraction
Answer:
10/24 cannot be written as an improper fraction.
Step-by-step explanation:
a faction is only an improper fraction when the numerator is a larger number than the denominator. Therefore, this fraction, 10/24, can only be simplified or transformed into a decimal.
Simplified: 5/12
Decimal: 0.416 or 0.42
I hope this was helpful!
Mia deposits $300 into an account that pays simple interest at a rate of 5% per year, how much interest would she be payed in the first 2 years?
Answer: $30
Step-by-step explanation:
I=PRT
I= (300)(0.05)(2)
I= 15(2)
I= 30
Round the weight of the sweet potato chips to the nearest tenth of an ounce. 3.705
Answer:
Step-by-step explanation:
3.705 rounded to the nearest tenth of an oz = 3.7 <==
The weight of the sweet potato chips, when rounded to the nearest tenth, is 3.7 ounces.
Explanation:To round the weight of the sweet potato chips to the nearest tenth of an ounce, we look at the number in the hundredths place.
Since the weight is 3.705, and the number in the hundredths place is 0.005, we apply a basic rounding rule: if the number in the hundredths place is 5 or more, we round up the number in the tenths place.
Here, that means we round up '7' to '8'. Thus, when rounded to the nearest tenth of an ounce, the weight of the sweet potato chips is 3.7 ounces.
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A baseball diamond is a square with corners at home plate, first base, second base, and third base. The distance between home plate and first base is 30 yards. What is the area of a baseball diamond?
A.
900 square yards
B.
120 square yards
C.
90 square yards
Answer:
A: 900 yards
Step-by-step explanation:
im sure... i had the same test question and got it right! pls give me brainliest
Answer:
900 sq. yd.
Step-by-step explanation:
So, we know that the baseball diamond is a square, so we use the equation of a square, A = [tex]a^{2}[/tex]
Since all sides of a square are equal, each is always gonna be 30 yards. So we substitute a for 30
A = [tex]a^{2}[/tex]
A = [tex]30^{2}[/tex]
A = 900 sq. yd.
Which gives you the area of the diamond as 900 sq. yd.
What is the vertex of the graph of the function y=(x+2)^2?
Answer:(2,0)
Step-by-step explanation:
is The fraction 3/7 is smaller than 5/7 . True False
Answer:
Yes
When comparing fractions such as 3/7 and 5/7, you could also convert the fractions
You are in charge of buying hamburgers and chicken for a party. The hamburgers cost $2 per pound and the chicken costs $3 per pound. You have $60 to spend. Write and solve a linear equation to find how much chicken you can afford to buy if you buy 12
pounds of hamburgers.
Linear equation is 2x + 3y = 60
Chicken that can be afforded is 48 pounds.
Step-by-step explanation:
Step 1:
Given details are cost of hamburgers per pound = $2 and cost of chicken per pound = $3, total amount for spending = $60
Step 2:
Form equation from given data.
Let x be number of hamburgers bought and y be number of chicken that can be bought.
⇒ 2x + 3y = 60
Step 3:
Given that 12 pounds of hamburgers can be bought. Then 2x = 12. Substitute in equation to find pounds of chicken
⇒ 12 + 3y = 60
⇒ 3y = 60 - 12 = 48
⇒ 3y = 48 pounds or y = 16 (number of chicken that can be bought)
to factory plants are making TV panels. Yesterday plant a produce 8000 panels 1% of the panels from plant a 4% of the panels from plant be where defective how many panels did plant be produced if the overall percentage of defective plants from the two plants was 2%
Answer:
[tex]Plant\ B\ produces\ 4000\ panels.[/tex]
Step-by-step explanation:
Let plant B produces [tex]x[/tex] panels.
Defective Panels from Plant A and Plant B
Defective panels from plant A[tex]=1\%\ of\ 8000[/tex]
Defective panels from plant A[tex]=0.01\times 8000[/tex]
Defective panels from plant A[tex]=80[/tex]
Defective panels from plant B[tex]=4\%\ of\ x[/tex]
Defective panels from plant B[tex]=0.04x[/tex]
Total Defective panels=Defective panels from plant A+Defective panels from plant B
Total Defective panels[tex]=80+0.04x[/tex]
Total Panels and defective panels:
Total Panels=Panels from plant A+Panels from plant B
Total Panels=8000+x
Total Defective panels[tex]=2\%\ of\ total\ panels=2\%\ of\ (8000+x)[/tex]
Total Defective Panels[tex]0.02\times (8000+x)=160+0.02x[/tex]
[tex]80+0.04x=160+0.02x\\\\0.04x-0.02x=160-80\\\\0.02x=80\\\\x=\frac{80}{0.02}\\\\x=4000[/tex]
2apples and I add 1 more how many apples are there?
Answer:
3
Step-by-step explanation:
2+1=3
Answer:
3 apples
Step-by-step explanation:
2 apples + 1 apple = 3 apples
The height of a triangle is 5 m less than it’s base. The area of the triangle is 42 m^2 what is the length of the base
Answer:
12 meters
Step-by-step explanation:
Let b = base
then
b-5 = altitude
since we know that the area for any triangle is
(1/2)bh
where
b is base
h is height or altitude
(1/2)b(b-5) = 42
b(b-5) = 84
b^2-5b = 84
b^2-5b-84 = 0
(b-12)(b+7) = 0
b = {12, -7}
toss out the negative solution leaving:
b = 12 meters
Here is the set up:
A = (bh)/2
42 = [b • (b - 5)]/2
This is all you need. Solve the equation for b to find your answer.
solve this question
Answer:
PQ = 13 cm
Step-by-step explanation:
You need to use the Pythagorean Theorem twice.
On the base of the cuboid, mark the point opposite P, point A. Point A is vertically below point Q. Now draw a segment from point P to point A.
The distance from point P to point A can be found using the Pythagorean Theorem.
(3 cm)^2 + (4 cm)^2 = (PA)^2
9 cm^2 + 16 cm^2 = (PA)^2
25 cm^2 = (PA)^2
PA = 5 cm
Segment PA is a side of triangle PAQ. Angle PAQ is a right angle. Sides PA and AQ are legs of the right triangle, and side PQ is the hypotenuse. Now we use the Pythagorean Theorem again.
(PA)^2 + (AQ)^2 = (PQ)^2
(5 cm)^2 + (12 cm)^2 = (PQ)^2
25 cm^2 + 144 cm^2 = (PQ)^2
169 cm^2 = (PQ)^2
PQ = 13 cm
What is y=x-4 and y=4x-10
Answer:
I got an answer of X = 2
Step-by-step explanation:
I used subtituion and got 2
Answer:
Step-by-step explanation:
I've already answered this question.
Two angles are complementary three times the measure of one of the angles is 10° more than the measure of the other angle. find the difference between the measure of the larger angle in the smaller angle
Answer:
The difference is 40,
Step-by-step explanation:
Complementary angles , x+y =90
so we know angle 1, we call it 3x and angle 2 we call it y= 3x+10
so 3x +10= 90-x
4x=100
x=25
angle 1= 3(25) - 10
y= 65
65-25= 40
Answer:
40°
Step-by-step explanation:
Let x represent one of the angles, and y represent the other one. Then we have ...
x + y = 90
3x = y +10
Substituting for y in the first equation, we have ...
x + (3x -10) = 90
4x = 100
x = 25
y = 3(25) -10 = 65
The difference between the angles is ...
y -x = 65 -25 = 40 . . . . degrees
The difference between the angle measures is 40 degrees.
The graph shows the relationship between the hours a soccer team practiced after the season started and their total practice time for the year. a. How many hours did the soccer team practice before the season began?
Answer:
6 hours
Step-by-step explanation:
The picture of the question in the attached figure
Let
x ----> the hours a soccer team practiced after the season started
y ----> the total practice time for the year in hours
we know that
The y-intercept of a linear equation is the value of x when the value of y is equal to zero
In the context of this problem, the y-intercept is the total practice time before the season began (the value of x is equal to zero)
Looking at the graph
The y-intercept is the point (0,6)
therefore
the total practice time before the season began is 6 hours
Answer:
can yu show the picture?
Step-by-step explanation:
1/3 divided by 5/6a what is the answer please I don’t get it;(
Answer:to divide you have to have the same number for the bottom number so you will divide 2\6 by 5\6a and you will probably get a answer with a graphing calculator i hope this helps
Step-by-step explanation:
CAN SOMEONE HELP ME WITH THE QUESTION IN THE IMAGE. I WILL MARK THE PERSON WHO GETS IT RIGHT AS BRAINLIEST
Answer:
[tex]x = 8[/tex] units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
From the diagram, the half of the diagonal measure 5x units and 6x-8 units.
This halves must be equal in length.
[tex]6x - 8 = 5x [/tex]
Group similar terms to get:
[tex]6x - 5x = 8[/tex]
Simplify to get:
[tex]x = 8[/tex]
Find the volume of a cube where the length of each side is 6 centimeters.
Answer:
V = 6³ = 216 cm³
The volume of this cube is 216 cm³.
The correct answer is [tex]\( \boxed{216 \text{ cm}^3} \).[/tex]
The volume of a cube is calculated by raising the length of one side to the power of three, or in other words, by multiplying the length of one side by itself three times. Given that the length of each side of the cube is 6 centimeters, the volume [tex]\( V \)[/tex] can be calculated as follows:
[tex]\[ V = a^3 \][/tex]
where [tex]\( a \)[/tex] is the length of a side of the cube. Substituting the given value:
[tex]\[ V = 6^3 \][/tex]
[tex]\[ V = 6 \times 6 \times 6 \][/tex]
[tex]\[ V = 216 \][/tex]
Therefore, the volume of the cube is [tex]\( 216 \)[/tex] cubic centimeters.
[tex]\( \boxed{216 \text{ cm}^3} \).[/tex]
Use the table to determine the average rate of change from 3 to 6 storms
The average rate of change in gas prices from 3 to 6 predicted storms is 0.04, indicating a consistent increase of $0.04 in gas price for each additional storm predicted during that period. (option A)
The average rate of change is calculated by finding the difference in gas prices divided by the difference in the number of predicted storms.
[tex]\[ \text{Average Rate of Change} = \frac{\text{Change in Gas Price}}{\text{Change in Number of Storms}} \][/tex]
For the given data:
- Change in Gas Price from 3 to 6 storms: 2.56 - 2.44 = 0.12
- Change in Number of Storms: 6 - 3 = 3
[tex]\[ \text{Average Rate of Change} = \frac{0.12}{3} = 0.04 \][/tex]
Therefore, the correct answer is 0.04. (option A)
For more questions on rate of change:
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The complete question is:
The price of gas has been increasing over the last month. Renee believes there is a positive correlation between the number of predicted storms and the price of gas.
Number of Storms Predicted 1 3 4 6 7
Gas Price $2.34 $2.44 $2.49 $2.56 $2.61
Use the table to determine the average rate of change from 3 to 6 storms.
a. 0.04
b. 3
c. 0.12
d. 0.27
Given that f(x)
equals
= 3x+2
and g(x)=x^2−2x−6
find (g◦f)(6).
(g◦f)(6) means we have to find g(f(6)).
So f(6)=3(6)+2=20
And g(20)=20^2-(20)(2)-6=400-40-6=360-6=354
So (g◦f)(6) is 354
Hope this helped!
graph the equation
y = - 4
Answer:
Hi! Use a calculator thats math... way!
Step-by-step explanation: The negative 4 on the graph would just have a direct slope going through the negative side of the graph!
How does the coefficient of a affect the way the parabola opens
Answer: If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left.
Step-by-step explanation:
Answer:
If the y is squared, the parabola is horizontal. If the x is squared, the parabola is vertical. If it's negative the parabola opens down or to the left. If it's positive the parabola opens up or to the right.
Step-by-step explanation:
edge 2021
5×10 to the ninth power
Answer:
5,000,000,000 or 1,953,125,000,000,000
Depends on what you mean
Step-by-step explanation:
If (5*10)^9
(50)^9
1,953,125,000,000,000
Or if 5 * (10)^9
5 * 1,000,000,000 = 5,000,000,000
Answer:1953125 x 10^9
Step-by-step explanation: 5^9= 1953125 and 10^9.
Which of the following is a solution to the inequality below?
5 > v
Answer:
v = 4
Step-by-step explanation:
4 is less than 5. 7,8 and 10 are all greater than 5.
There is a mountain with 30 bat caves in a row that contain 340 bats in all. Any 7 caves in a row contain exactly 77 bats. Suppose the first cave has 7 times more bats than the last caves. How many bats in the 29th cave?
Answer:
The 29th cave has 28 bats.
Step-by-step explanation:
It is given that any 7 caves in a row contain 77 bats.
So, out of the 30 caves, let us start counting from the second cave till the 29th cave(counting 28 caves).
7 times 4 gives us 28, which has [tex]77\times4=308[/tex] bats. We have not counted the first and last cave.
Let the number of bats in the last cave be [tex]x[/tex], then according to the question:
[tex]7x+x=340-308=32[/tex](First cave has 7 times more bats than the last cave)
Hence, [tex]x=4[/tex](number of bats in the 30th cave)
Now we shall again count, but this time from the first cave, leaving out the last 2 caves. So the total number of bats in the first 28 caves is 308 and 32 in the last 2 caves.
So, the number of bats in the 29th cave = 32 - 4 = 28