Answer:
Kate is 16, Bob is 12
Step-by-step explanation:
Since Kate is 4 years older than Bob, Kate's age is represented by the following equation:
B+4=K
Bob's age is just B
Now, the sum of their ages is 28, which means we add Kate's and Bob's age:
Instead of writing K+B=28, we would write the equation with the same variable:
B+4+B= 28
(B+4= Kate's age)
add like terms
2b+4=28
subtract 4 from both sides
2b=24
divide by 2
b=12
12 is Bob's age and to find Kate's age, we add 4
Kate is 16.
Hope this helps
# 4-15 Convert the given amount to the given unit
4. 63 yd; feet
5. 168h; days
6. 2.5lb; ounces
7. 200 cm; meters
8. 4 min; seconds
9. 5kg; pounds
Graph the line.
y=-5x+4
15 points
Answer:
go up 4 on the y axis and then go up five and to the left 1. Also go to desmos and it will answer all out your graphing question.
Step-by-step explanation:
Brainliest pls
As of July 1, 2014, the population of India was about 1,267,000,000.
How can you write this number in scientific notation?
1. Move the decimal point to the right of the first digit. What is the first factor?
2. Count the number of digits after the decimal point. How many places did you move the decimal point?
3. Did you move the decimal point to the right or to the left? What does this tell you about the power of 10 in the second factor?
4. What is the second factor written as a power of 10?
5. Write the population of India in scientific notation
Answer:
1. The first factor is 1.267
2. 9 Places
3. i) The decimal point was moved to the left
ii) This indicates the value of the power of 10 in the second factor
4. The second factor is 10⁹
5. The population of India in scientific notation is 1.267 × 10⁹
Step-by-step explanation:
Find V. 10 points plz.
Answer:
v = 60 yards
Step-by-step explanation:
In the similar triangles, their corresponding sides are proportional which means they have equal ratios
In triangles IHG and FHJ
∵ Δ IHG ≈ FHJ
∵ Side IH is corresponding to side FH
∵ Side HG is corresponding to side HJ
∵ Side IG is corresponding to side FJ
→ Their ratios are equal
∴ [tex]\frac{IH}{FH}[/tex] = [tex]\frac{HG}{HJ}[/tex] = [tex]\frac{IG}{FJ}[/tex]
∵ IH = 54 yards and FH = 72 yards
∵ IG = v and FJ = 80 yards
→ Substitute them in the first and last ratios above
∴ [tex]\frac{54}{72}[/tex] = [tex]\frac{v}{80}[/tex]
→ By using cross multiplication
∴ v × 72 = 80 × 54
∴ 72v = 4320
→ Divide both sides by 72
∴ v = 60 yards
Compare heterogeneous and homogeneous?
Answer: A homogeneous mixture has the same uniform appearance and composition throughout. Many homogeneous mixtures are commonly referred to as solutions. A heterogeneous mixture consists of visibly different substances or phases. The three phases or states of matter are gas, liquid, and solid.
Answer:
Just thnk of it this way: Hetero- Different. Homo- Same
Step-by-step explanation:
How do I solve for the missing angle?!
And please include explanations on how you got the answer
Answer:
75°
Step-by-step explanation:
In triangle FBG, one angle is 36. That means the other two must total 180-36=144. Assigning each one 72, their supplementary angle on the interior of the pentagon would be 108.
In triangle JDI, one angle is 39. That means the other two must total 180-39=141. Assigning each one 70.5, their supplementary angle on the interior of the pentagon would be 109.5
We now have 4 of the interior angles. Pentagons have an interior total of 540. 540-108-108-109.5-109.5=105
x is the supplement of 105. 180-105=75
Karen bought 11/12 pound of fruit salad. How many 1/3 pound servings of fruit salad are in 11/12 pound?
How do you add integers with different signs?
Answer:
To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest.
Step-by-step explanation:
how do you add or subtract [-4]+6
Answer:
2
Step-by-step explanation:
(-4) + 6
remove the unnecessary parentheses
-4 + 6
calculate the sum which is
2
Answer:
2
Step-by-step explanation:
[-4] + 6 = 2
When two numbers are of different sign, subtract and the result will have the sign of bigger number.
Here the bigger number is 6 and it's sign is positive (+). So , the answer is +2
Please help asap!
i will give brainliest :)
Answer:
192
Step-by-step explanation:
so basically when a problem like this is given out and you do not understand the question or just don't want to the best thing you can do is pick B
Give the equation of the line, perpendicular to the line with equation y=2x+1, that passes
through the point (8,-2)
Answer:
y=-1/2x+2
Explanation:
Ten baseballs weigh 1,417.4 grams. About how much does 1 baseball weigh? Round your answer to the nearest tenth of a gram. Round your answer to the nearest gram.. Which answer would you give if someone asked, "About how much does a baseball weigh?" Explain your choice.
Answer:
See explanation
Step-by-step explanation:
If all the ten balls weigh 1,417.4 grams
Then 1 ball weighs 1,417.4 grams/10 = 141.74
To the nearest tenth = 141.7
To the nearest gram= 142
If someone asks me the weight of one ball I will give the answer as 141.7 because it contains exactly the same number of decimal points as we have in the question.
The volume of a box (v) varies directly with its length (l) if one of the boxes has a volume of 325 cubic inches and a length of 13 inches what is the costant of proportionality for the group of boxes
Answer:
The constant of proportionality for the group of boxes is: 25
Step-by-step explanation:
Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.
Let l be the length and v be the volume
Then according to given statement
V∝l
Removing the proportionality symbol introduces a constant in the equation
[tex]V = kl[/tex]
Putting V = 325 and l = 13
[tex]325 =k(13)\\k = \frac{325}{13}\\k = 25[/tex]
Hence,
The constant of proportionality for the group of boxes is: 25
3. Rectangle ABCD is shown on the coordinate grid below.
у
10
8 units
12 units
- 10 -8
X
9 units
D
o
7 units
Which is closest to the length of diagonal
AC?
Answer:
A. 8 units
Step-by-step explanation:
Coordinates of A = (-2, -2)
Coordinates of C = (5, 2)
Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to calculate the length of diagonal [tex] \overline{AC} [/tex].
Let,
[tex] A(-2, -2) = (x_1, y_1) [/tex]
[tex] C(5, 2) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(5 -(-2))^2 + (2 -(-2))^2} [/tex]
[tex] d = \sqrt{(7)^2 + (4)^2} [/tex]
[tex] d = \sqrt{49 + 16} = \sqrt{65} [/tex]
[tex] d = 8.1 [/tex] (nearest tenth)
Therefore, the closest to the length of diagonal [tex] \overline{AC} = 8 units [/tex]
what is the slope and y intercept of y=3?
Answer:
m=0; y intercept=3
Step-by-step explanation:
The line is perfectly horizontal, which means that the slope is 0. Since it is horizontal, we can reason that the y intercept has to be 3.
HTH :)
The function y = 3x + 42 models the average number of dogs at an animal shelter, where x is the number of days after July 1. The
function y = 4x + 7 models the average number of cats at the animal shelter, where x is the number of days after July 1. After how many
days is the average number of cats and dogs at the shelter the same?
A. 35 days
B. 49 days
C. 7 days
D. 5 days
Which statement is true? The equation –3|2x + 1.2| = –1 has no solution. The equation 3.5|6x – 2| = 3.5 has one solution. The equation 5|–3.1x + 6.9| = –3.5 has two solutions. The equation –0.3|3 + 8x| = 0.9 has no solution.
Answer:
-.3|3+8x|=.9 has no solution
Step-by-step explanation:
There was not outcome for x when you solve it
Answer:
d
Step-by-step explanation:
just took the quiz and got it right :)
What is the slope of the line that passes through the points (8,2) and (9,3)? Write
your answer in simplest form.
If you ride your bike 30 kilometers in 2 hours, what is your average speed?
Answer:
15 km/h
Step-by-step explanation:
Which equation represents a line that passes through the two points in the table?
Answer: A
Step-by-step explanation:
(3,3) (6,5)
y2-y1/x2-x1 = 5-3/6-3 = 2/3
y-y1 = m(x-x1)
y-3 = 2/3(x-3)
I need help on this please
a biker can ride a bicycle 18 miles in 3 hours. the messenger estimates that it will take 7 hours to bike 22 miles. here is the messengers work:
step 1: 22-18=4
step 2: 3+4=7
what mistake did the messenger make?
• the messenger did not make a mistake. the estimate is correct
• the 3 and 4 should have been multiplied instead of added.
• the messenger used addition and Subtraction instead of multiplication and division
• the 22 and 18 should have been divided instead of subtracted
• the 22 and 18 should have been averaged instead of subtracted
Answer:
The messenger should use addition and Subtraction instead of multiplication and division
Step-by-step explanation:
It is given that,
A biker can ride a bicycle 18 miles in 3 hours. the messenger estimates that it will take 7 hours to bike 22 miles.
He has done two steps :
step 1: 22-18=4
step 2: 3+4=7
The steps done by the biker are wrong. The correct step should be :
In 1 hour, he should cover (18/3) miles i.e. 6 miles
In 7 hours, he will cover (6×7) miles i.e. 42 miles
It means he should use addition and Subtraction instead of multiplication and division. Hence, the correct option is (c).
What is the slope of the graph of 5x-2y=20 ?
A:
-10
B:-2 over 5
C:5 over 2
D:
5
please help I only have about a few minutes!
Which equation best models the relationship shown in the table?
Answer:
i want to say the answer is C, i'm sorry if its incorrect, but i'm 50/50 that its C
help
me
do
this
im
about
to
fail
Answer:
4.89 the rounding of it is 5.00,
Area=(22 over 7) x5^2
=78.57cm^2
Hope that helps
Circle Q has a circumference of approximately 50 centimeters. Circle Q with diameter d is shown. What is the approximate length of the diameter, d? Use 3.14 for . Round to the nearest tenth of a centimeter. 4.0 centimeters 8.0 centimeters 15.9 centimeters 31.8 centimeters
Answer:
The answer is 15.9 centimeters. If you work backward with the formula 2pir = circumphrence, you get diameter *pi = 50. To find diameter, you divide 50 by pi and the answer is 15.9 centimeters.
Step-by-step explanation:
The diameter to the nearest tenth of a centimeter is mathematically given as
31.8cm, option D
What is the diameter?
Question Parameters:
Circle Q has a circumference of approximately 50 centimeters.
Generally, the equation for the circumference is mathematically given as
C=2\pir
Therefore
r=C/ \pi
r=50/3.14
r=15.9cm
Therefore,
d=2r
d=2*15.9
d=31.847
In conclusion, the diameter to the nearest tenth of a centimeter. is
31.8cm
Read more about Arithmetic
https://brainly.com/question/22568180
HELP PLS I NEED TO SOLVE THAT EQUATION NEED HELP ASAP
What is a rule for
h
′
(
x
)
h
′
(x) space, h, prime, left parenthesis, x, right parenthesis, space if
h
(
x
)
=
−
1
x
h(x)=
sin
−1
x
Answer:
Step-by-step explanation:f(h(x))= 2x -21
f(x)= x^3 - 6
h(x)=\sqrt[3]{2x-15}
WE need to find f(h(x)), use composition of functions
Plug in h(x)
f(h(x))=f(\sqrt[3]{2x-15})
Now we plug in f(x) in f(x)
f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6
cube and cube root will get cancelled
f(h(x))= 2x-15 -6= 2 x-21
A 9 pound bag of brown rice cost 40. 32 what is the price per ounce
Answer:
price per ounce: $4.48
Step-by-step explanation:
divide 40.32 by 9
Answer:
0.28
Step-by-step explanation:
9 pound = 144 ounce
40.32 / 144 = 0.28
The system of inequalities in the graph represents the change in an account, y, depending on the days delinquent, x. On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 2) and (0, 0). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 2) and (0, 0). Everything to the left of the line is shaded. Which symbol could be written in both circles in order to represent this system algebraically? y Circle x y Circle –x ≤ ≥
Answer:
C.<
Step-by-step explanation:
got it wrong on the exam review and it told me the right answer after.
Answer:
It is C. <
Step-by-step explanation:
edge 2021