Evaluate the expression 43 + [(96 ÷ 8) × 5] – 42.
Answer:
Your answer is 61.
Step-by-step explanation:
43+[(96÷8) × 5]-42, first you have to divide 96 and 8.
96 divided by 8 is 12. next you multiply 12 and 5. 12 multiplied by 5 equals 60. then you take 60 and add the 43. you will get 103, then you take 103 and subtract 42, and you will get 61.
Example:
43 + [(96 ÷ 8) × 5] - 42
43 + [12 × 5] - 42
43 + 60 - 42
103 - 42
( 61 )
Three lines of crops in a garden form a triangular shape. Strawberries are planted in a 10 ft line and green beans are planted in an 18 ft line. If the third side, a line of pumpkins, makes an 68 degree angle with the strawberries, determine the length of the pumpkins.
Answer:
[tex]p = 19.18[/tex]
Step-by-step explanation:
This question is illustrated using the attachment and will be solved using cosine formula
[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]
Let the strawberry side be s, the Green beans be b and the pumpkins be p.
The cosine formula in this case is:
[tex]g^2 = s^2 + p^2 - 2spCosG[/tex]
Where
[tex]s = 10[/tex]
[tex]g = 18[/tex]
[tex]<G =68[/tex]
The equation becomes
[tex]18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68[/tex]
[tex]324 = 100 + p^2 - 20 * p * 0.375[/tex]
[tex]324 = 100 + p^2 - 7.5p[/tex]
Collect Like Terms
[tex]p^2 - 7.5p + 100 - 324 = 0[/tex]
[tex]p^2 - 7.5p - 224 = 0[/tex]
Using quadratic formula:
[tex]p = \frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
Where
[tex]a = 1[/tex]
[tex]b = -7.5[/tex]
[tex]c = -224[/tex]
[tex]p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}[/tex]
[tex]p = \frac{7.5\±\sqrt{56.25+896}}{2}[/tex]
[tex]p = \frac{7.5\±\sqrt{952.25}}{2}[/tex]
[tex]p = \frac{7.5\± 30.86}{2}[/tex]
[tex]p = \frac{7.5 + 30.86}{2}[/tex] or [tex]p = \frac{7.5 - 30.86}{2}[/tex]
[tex]p = \frac{38.36}{2}[/tex] or [tex]p = \frac{-23.36}{2}[/tex]
[tex]p = 19.18[/tex] or [tex]p = -11.68[/tex]
But length can not be negative.
So:
[tex]p = 19.18[/tex]
Solve for f. Show your work. –8 + 8f = 9f
a diver 20 ft below the surface of the water starts to swim upward at a rate of 2 ft per second right an equation to model the diver
What is the value of x?
A=2
B=4
C=5.5
D.7
4) Which pair of triangles is congruent by Angle - Angle- Side?
We want to see which pair of triangles is equivalent by the Angle-Angle-Side criteria.
The correct option is 2, where we have two equal angles, and the bottom side is equal in both triangles.
The Angle-Angle-Side criteria means that if two triangles have an equal side, and the two correspondent angles also are equal, then these triangles are equivalent.
So we just need to see (by notation, not by how the triangles look like) in which ones we have two equal angles and one equal side.
That one is the second pair of triangles.
We can see that the two top angles are equal (two curves) and that the left angle in the left triangle is equal to the right angle on the other triangle (so we have two equal angles).
Also, the bottom side is equal on both triangles.
Then the angle-angle-side criteria is meet, meaning that these two triangles are equivalent.
If you want to learn more, you can read:
https://brainly.com/question/3394089
(1) Today, the temperature in New York is -1 degree and is expected to rise 3 degrees per day. It's 6
degrees in Alaska and expected to fall 1 degree every 2 days.
Answer:
New York: m=3, b=-1, y=3x-1
Alaska: m=-1/2, b=6, y=-1/2x+6
2 days; 5 degrees
Step-by-step explanation:
In each case, m is the rate of change, the number of degrees per day that the temperature is changing. 1 degree per 2 days is 1/2 degree per day.
In each case, b is the given initial temperature.
The equation is y = mx + b, for the values of m and b that you fill in.
New York
m = 3, b = -1, equation: y = 3x -1
Alaska
m = -1/2, b = 6, equation: y = -1/2x +6
__
The graphs can be plotted by plotting the initial point on the y-axis, then finding another point based on the slope.
For New York, another point will be 1 unit right and 3 units up, at (1, 2).
For Alaska, another point will be 2 units right a 1 unit down, at (2, 5).
The lines intersect at the point (2, 5) corresponding to 2 days, 5 degrees.
Determine whether each relationship below can be modeled by a linear function. (Yes or No)
The total number of tires, T, on c cars.
The cost, C, in dollars, of p pounds of tangerines.
The temperature, F, after m minutes of a pie taken out of the oven.
The value, V, in dollars, of a bank account earning compound interest after t years.
Answer: yes yes no no
Step-by-step explanation:
Need answers fast help help !!!
Answer:
The answer is 29
Step-by-step explanation:
Anyone pls answer this plssssss
Answer:
a) x= 55°
b) x= 112°
c) x= 59°
Answer:
Step-by-step explanation:..
..What is the sum.. please help me and dont guess on this is important (will give braniliest) Please help ;((.
Answer:
-2 3 / 7 is the answer to this question
5. Ms. Johnson has 50 students in Period 5. In
period 5, 40% of these students are girls. How many
students are boys in her Period 5 class.
Answer:
60% of the students are boys
How many hours until the charges for each company will be equal and what is that charge
Answer:
25 hours, charge= 800
Step-by-step explanation:
300 + 20x = 500 + 12x
8x = 200
x = 25
300 + 20(25)
300+500 = 800
500 + 12(25)
500 + 300 = 800
How many solutions does the equation 4 + 4x - 3 = 4x + 5 have?
O A. Infinitely many solutions
B. No solutions
C. One solution
O D. Two solutions
HELPPPPPPPPP best answer will get braainliest
Answer:
Perimeter of the Rectangle is 2×(length+breadth)
→2{(3y-2)+(5y+8)}=2{3y-2+5y+8}=2{8y+6}=16y+12
(16y+12) is the right answer.I need help on question 3... Help me please!!!!
Answer:
Yes
Step-by-step explanation:
Because they both have 90° angles forming a square
Answer:
Yes, because, both ten divided by eight and fifteen divided by twelve equals one and twenty-fifths.
Explanation:
10 / 8 = 1.25
15 / 12 = 1.25
<3 Enjoy,
Dea
can someone help please
Answer:
0.51
Step-by-step explanation:
google said it was
Complete the equation of the line through (-9,-9)(−9,−9)left parenthesis, minus, 9, comma, minus, 9, right parenthesis and (-6,0)(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis. Use exact numbers. Y=
Answer:
The equation of the line is;
y = 3x + 18
Step-by-step explanation:
We want to write the equation of the line through (-9,-9) and (-6,0)
we start by calculating the slope of the line
m = (y2-y1)/(x2-x1) = (0+ 9)/(-6+9) = 9/3 = 3
The general equation of the line is;
y = mx + c
y = 3x + c
To get c, we use any of the points
we substitute for example -6 for x and 0 for y
0 = 3(-6) + c
c = 0 + 18 = 18
So the equation of the line is;
y = 3x + 18
Answer:
3x+18
Step-by-step explanation:
Let's find the slope:
Slope
=
0
−
(
−
9
)
−
6
−
(
−
9
)
=
9
3
=
3
Slope
=
−6−(−9)
0−(−9)
=
3
9
=3
The equation is
y
=
3
x
+
b
y=3x+by, equals, 3, x, plus, b for some
b
bb.
Hint #22 / 3
Let's plug the point
(
−
6
,
0
)
(−6,0)left parenthesis, start color #11accd, minus, 6, end color #11accd, comma, start color #ed5fa6, 0, end color #ed5fa6, right parenthesis to find
b
bb:
y
=
3
x
+
b
0
=
3
(
−
6
)
+
b
0
=
−
18
+
b
18
=
b
y
0
0
18
=3x+b
=3(−6)+b
=−18+b
=b
Hint #33 / 3
The equation is
y
=
3
x
+
18
y=3x+18y, equals, 3, x, plus, 18.
can I get help please
Answer:
B. 4x-3
Explanation:
The product of twice a number and five is the same as the difference of nine times the number and 7/4
Answer:
36
hope this helps
Step-by-step explanation:
CAN SOMEONE HELP ME, WILL GIVE BRAINLLEST pls
Answer:
I think both are 75
Step-by-step explanation:
I know the bottom one is definitely 75.
For the top, if you substitute 75 for the y and 1 for the X, the only answer is 75. Please Mark Brainliest if correct.
If 6 – 2x – 8x = 16, then 5x = ?
a. 10
b. -2
c. -1
d. -5
David biked 12 7/8 miles on Tuesday and 5 3/8 miles on Wednesday.How much farther did David bike on Tuesday than on Wednesday
please give me correct answer.
Answer:
I got 7/1/2
Step-by-step explanation:
if its righg
Answer:
7 [tex]\frac{1}{2}[/tex] miles
Step-by-step explanation:
The problem above is under the topic, "Subtracting Mixed Numbers with Similar Fractions."
In order to find the answer, you have to subtract the whole number parts first.
12-5 = 7
Then, you have to subtract the fractional parts. All you have to do is to get the difference of the numerators and copy the denominator.
7/8 - 3/8 = [tex]\frac{4}{8}[/tex]
Therefore, 12 [tex]\frac{7}{8}[/tex] - 5 [tex]\frac{3}{8}[/tex] = 7 [tex]\frac{4}{8}[/tex] miles
Let's simplify: 7 [tex]\frac{1}{2}[/tex] miles
David biked 7 [tex]\frac{1}{2}[/tex] miles farther on Tuesday than on Wednesday.
PLZZZZZ HELP ME I'M GIVING BRAINLIEST
w – 8 =5
A. -40
B. -13
C. -3
D. 13
Answer:
d.13
Step-by-step explanation:
If you bring the 8 to the to the other side and you add to 5 you get 13. Also if you plug in the answer choices you should 13 since it makes the most sense. (13-8=5)
Answer:
w=13
Step-by-step explanation:
Please Helpppppppppp!!!!!!!!!!!!!!!
Answer:
122/3435.35/67
Step-by-step explanation:
SOMEONE PLEASE HELP ME ITS URGENT!!!!
Step-by-step explanation:
i wanna help but i cant see can you copy and paste the question
Answer:
Step-by-step explanation:
y=5x-2
slope of the line is 5 because if we compare to
y=mx+b where m is the slope we see m=5
Points (0,-2), (2,8), (4,18)
slope between the points (0,-2), (2,8)
m=(y2-y1)/(x2-x1) = -2-8/0-2 = -10/-2 = 5
slope between the points (4,18), (2,8)
m=(y2-y1)/(x2-x1) = 18-8/4-2 = 10/2=5
slope between the points (4,18), (0,-2)
m=(y2-y1)/(x2-x1) = 18+2/4-0= 20/4 =5
please help me !! i beg u !!!!!!!!!!!!!!!!!!!
Answer:
D.10÷3
Step-by-step explanation:
ir you try dividing the number 10 by 3 you would get 3.333333 non-stop.
Tanya used 3/4 cup of flour to make 1/2 batch of muffins. How many cups of flour will she need to make 1 batch of muffins?
Answer:
1 1/2
Step-by-step explanation:
3/4*2=
3 2 6 1
-- *-- = ---- = 1 ----
4 1 4 2
PLEASE HELP ME PLSS ITS TIMED
Answer:
1 pound of blueberries cost $2.75 and 12 pounds of blueberries cost $33
Step-by-step explanation:
Divide $16.50 by 6, that's how you find out how much 1 pound of blueberries costs
At Bridgeview School, 7/10
of the total students are driven to school by their parents. Another 1/6
of the total students at Bridgeview School ride the school bus. The remaining students walk. What fraction of the students walk to school?
A. 1/5
B. 1/2
C. 2/15
D. 13/15
Answer:
C
Step-by-step explanation:
1 - 7/10 - 1/6
Answer:2/15
Step-by-step explanation: