Question 7 (5 points)
Simplify 32 + 8 x 4.
A) 38
B) 60
C) 31
身
D) 41

Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.

8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.

The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means

(3.2 + q) / (8 + q) = 0.60

Solve for q :

3.2 + q = 0.60 (8 + q)

3.2 + q = 4.8 + 0.6q

0.4q = 1.6

q = 4

9514 1404 393

Answer:

  [tex]\textbf{C. }\overline{AB}\\\textbf{D. }\overline{BA}[/tex]

Step-by-step explanation:

The letters designating the end points of the segment may be listed in either order. The symbol over the pair of letters is a bar with no arrows on it.

__

Arrows on the bar over the point names indicate a ray (arrow to the right) or a line (double-ended arrow). This is only a segment, which does not extend beyond its end points.

The angle at the vertex of a rectangle is 90°

So, it means that,

= ? + 40 = 90

= ? = 90 - 40

= ? = 50

Answer:

50°

Step-by-step explanation:

x = ?°

x + 40° = 90°

x = 90° - 40°

x = 50°

Answer:

4.75 hour

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Isosceles Triangle

Step-by-step explanation:

Triangles in which 2 sides are equal are called isosceles triangles

Answer:

1 it’s a triangle

2 it has sides and… jk

I don’t really know much especially because you didn’t give me much info but I know it’s an acute angle and it’s a polygon and it’s an isoscele triangle and… that’s all I know. But I’m sorry if I’m a waste of space but I tried my best and I hope i helped. ✌

Step-by-step explanation:

Byeeeeeee

sorry again if I didnt help…

I really tried really hard.

Answer:

[tex]GQ =25[/tex] --- GoTV

Step-by-step explanation:

Given

[tex]GQ = 2x + 3[/tex]

[tex]GH= 5x - 5[/tex]

Required

Find GQ

Since Q is the midpoint, then:

[tex]GH = 2 * GQ[/tex]

This gives:

[tex]5x - 5 = 2[2x+3][/tex]

Open bracket

[tex]5x - 5 = 4x+6[/tex]

Collect like terms

[tex]5x - 4x = 5+6[/tex]

[tex]x =11[/tex]

We have:

[tex]GQ =2x+3[/tex]

This gives:

[tex]GQ =2*11+3[/tex]

[tex]GQ =25[/tex]

Answer:

40 saved

Step-by-step explanation:

200 x .20(20% off)=40 saved

Answer:

Step-by-step explanation:

Price is $200 with 20% Off

type in 200 in your calculator then X .20 for the 20%off you will come up with

$40 is what the Customer will save the Correct Answer $40

Step-by-step explanation:

HERE

* 11x

Phrase= x times 11

Operation= times

* 8-y

Phrase= 8 minus y

Operation = minus

1- 7n

2- 4-y

3- 13 + x

4- x divided by 12

5- y times 10

6- c added to 3

Answer:

C = 125S + $3750

Step-by-step explanation:

$ 3750  = truck rental;   $125 per ton of sugar transported.  C is the cost;  S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:

(1, 3875)  (2, 4000)  (3, 4125)  etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

Answer:

a) P = 6x + 13//

b) i) x = 5//

ii) 9//

Step-by-step explanation:

a) P = 2(x+2) + 2(2x-1) + 3 + 8 m

= 2x+4 + 4x-2 + 3 + 8

= 6x + 13//

b) i) P = 43 m

43 = 6x + 13

43-13 = 6x

30 = 6x

6 6

x = 5//

ii) longest side = (2x-1) m

2 × 5 - 1

10-1 = 9//

9514 1404 393

Answer:

  C)  83°

Step-by-step explanation:

The angle marked 97° and b form a linear pair, so are supplementary.

  b = 180° -97° = 83°

Answer:

C .) 83 °

Step-by-step explanation:

Angle b and 99° are on straight line so it's supplementary angles and we know that sum of all angles of supplementary angles is 180 °.

➛ b + 97 ° = 180 °.

subtract each side by 97 °

➛ b + 97° - 97° = 180° - 97°

➛ b = 83°

==================================================

Explanation:

The adjacent complementary angle to that 28 degree angle is 62 degrees because 62+28 = 90.

If the reference angle is the upper acute angle 62 degrees, then the y is the opposite leg and the side 350 is the adjacent leg.

Use the tangent ratio

tan(angle) = opposite/adjacent

tan(62) = y/350

350*tan(62) = y

y = 350*tan(62)

y = 658.254262871217

y = 658.3

9514 1404 393

Answer:

  the answer shown is correct

Step-by-step explanation:

An acute triangle will have a largest angle that is less than 90°.

All angles and sides will have different measures in a scalene triangle.

The triangle shown in your picture is both scalene and acute.

Answer:

what shape?

you gotta give more lol

Answer:

(10, 15)

Step-by-step explanation:

To get the origin of the equation 2y+3x = 10, we need to get the x and y-intercept of the line.

x-intercept occurs at y = 0

If y = 0

2(0)+3x =10

3x =10

x = 10/3

x = 1.33

y-intercept occurs at x = 0

If x = 0

2y+3(0) =10

2y =10

y = 10/2

y = 5

Hence the coordinate at the origin is (10/3, 5). If this coordinate is dilated by 3, the required coordinate will be at (10/3*3, 5*3) = (10, 15)

Hence the required coordinate is (10, 15)

the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.

He knows the relation:

3 cups of granola ⇒ 0.75 cups of raisins.

Assuming this is a proportional relation of the form:

y = k*x

Where k is a constant.

Then when x = 0, we also have y = 0, so the line also passes through the point (0, 0), which is the origin.

Then the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.

If you want to learn more about proportional relationships:

https://brainly.com/question/12242745

#SPJ1

Answer:

2,799,360

Step-by-step explanation:

12x18x20x9x8x9=2,799,360

Area of complete figure in 1st way  = 288 cm^2

Area of complete figure in 2nd way = 288cm^2

The area of a rectangle of length =l and breadth =b is length times its breadth . General formula of calculating area of rectangle is  length * breadth

In first case we are dividing the figure horizontally

in which there occur an upper small rectangle of l = 12cm and breadth = 9 cm and a big rectangle of L 20cm and B= 9cm

area of 1st rectangle= l*b = 12 * 9 = 108 cm^2

area of 2nd rectangle = L*B = 20 * 9 = 180 cm ^ 2

area of complete figure in 1st way  = area of 1st rectangle + area of 2nd rectangle

                                       = 108 + 180 = 288 cm^2

In second case we are dividing the figure vertically

in which there occur an  small rectangle of l = 8cm and breadth = 9 cm and a big rectangle of L =18cm and B= 12cm

area of 1st rectangle= l*b = 8 * 9 = 72 cm^2

area of 2nd rectangle = L*B = 18 * 12= 216 cm ^ 2

area of complete figure in 2nd way = area of 1st rectangle + area of 2nd rectangle

                                       = 72 + 216 = 288cm^2

learn more about area of rectangle

https://brainly.com/question/20693059?referrer=searchResults

#SPJ2

Answer: 3/q

Step-by-step explanation:

Answer:

[tex]x = 0, - 7[/tex]

Step-by-step explanation:

[tex]8x^2 + 56x=0[/tex]

[tex]8x(x)+56x=0[/tex]

[tex]8x(x)+8x(7)=0[/tex]

[tex]8x(x+7)=0[/tex]

[tex]x=0 [/tex]

[tex]x+7=0[/tex]

[tex]x=−7[/tex]

[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

D

Step-by-step explanation:

a

--- + 8 = 4

-2.1

a

---- =4 - 8

-2.1

a

--- = -4

-2.1

a= -4 × -2.1

a= 8,4

Answer:

I'm gonna guess your length is positive and you made a typing mistake. If that's so....

Step-by-step explanation:

Area= length x breadth

       =[tex]\frac{3}{7\\}[/tex] x [tex]\frac{16}{3}[/tex]

       =[tex]\frac{16}{7}[/tex]

       =2.29 [tex]unit^{2}[/tex]

Answer:

3) 124

Step-by-step explanation:

a1 = 10

a2 = a1+6 = 10+6 = 16

a3 = a2+6 = a1+6+6 = a1 + 2×6 = 22

a4 = a3+6 = a2+6+6 = a1+6+6+6 = a1 + 3×6 = 28

...

=>

an = an-1 + 6 = a1 + 6(n-1)

=>

a20 = a1 + 6(20-1) = 10 + 6×19 = 10+114 = 124

[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]

Use the following property above to find the value. Substitute f(x) and g(x) in.

[tex] \large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}[/tex]

Evaluate/Combine like terms.

[tex] \large{2x + {x}^{2} - 5}[/tex]

This step is optional but it's the best to arrange the degree.

[tex] \large{ {x}^{2} + 2x - 5} \\ \large{(f + g)(x) = {x}^{2} + 2x - 5}[/tex]

Answer

Let me know if you have any doubts!

Answer:

Succulents=8

Cacti=7

Step-by-step explanation:

x will be how much succulents he bought and y would be how many cacti he bought.

x+y=15.  Since he bought 15 plants.

2x+y=23

x=8

y=7

Answer:

The sum or product of a non-zero rational number and an irrational number is always 1

Answer:

B

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

12 divided by 40 equals 0.30, which is 30%.

Answer:

30 %

Step-by-step explanation:

To find the percentage first find the fraction

12/40

Then decimal form

.3

Multiply by 100 to get the percent

.3 * 100

30 %